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1 ·c19f8a67e2dfa3f95e81df731447c30f·553896·libdevel·optional·libspooles-dev_2.2-14_arm64.deb1 ·c19f8a67e2dfa3f95e81df731447c30f·553896·libdevel·optional·libspooles-dev_2.2-14_arm64.deb
2 ·ef4dc69bb27dda7533146064e8e615c6·1343392·debug·optional·libspooles2.2-dbgsym_2.2-14_arm64.deb2 ·ef4dc69bb27dda7533146064e8e615c6·1343392·debug·optional·libspooles2.2-dbgsym_2.2-14_arm64.deb
3 ·65336ed02fc1351c7e77b755d8c99692·398236·libs·optional·libspooles2.2_2.2-14_arm64.deb3 ·65336ed02fc1351c7e77b755d8c99692·398236·libs·optional·libspooles2.2_2.2-14_arm64.deb
4 ·abeacce148324ee219fe2e8242c52403·6785400·doc·optional·spooles-doc_2.2-14_all.deb4 ·0d3b3bde623e582ff99c218577fa9a06·6817820·doc·optional·spooles-doc_2.2-14_all.deb
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spooles-doc_2.2-14_all.deb
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1 -rw-r--r--···0········0········0········4·2018-12-19·22:56:58.000000·debian-binary1 -rw-r--r--···0········0········0········4·2018-12-19·22:56:58.000000·debian-binary
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1 Package:·spooles-doc1 Package:·spooles-doc
2 Source:·spooles2 Source:·spooles
3 Version:·2.2-143 Version:·2.2-14
4 Architecture:·all4 Architecture:·all
5 Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org>5 Maintainer:·Debian·Science·Maintainers·<debian-science-maintainers@lists.alioth.debian.org>
6 Installed-Size:·68786 Installed-Size:·6888
7 Suggests:·libspooles2.2-dev7 Suggests:·libspooles2.2-dev
8 Section:·doc8 Section:·doc
9 Priority:·optional9 Priority:·optional
10 Homepage:·http://www.netlib.org/linalg/spooles/10 Homepage:·http://www.netlib.org/linalg/spooles/
11 Description:·SPOOLES·numerical·simulation·pre-·and·post-processor·documentation11 Description:·SPOOLES·numerical·simulation·pre-·and·post-processor·documentation
12 ·SPOOLES·is·a·library·for·solving·sparse·real·and·complex·linear·systems·of12 ·SPOOLES·is·a·library·for·solving·sparse·real·and·complex·linear·systems·of
13 ·equations,·written·in·the·C·language·using·object·oriented·design.13 ·equations,·written·in·the·C·language·using·object·oriented·design.
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A2.ps
    
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20 ··············A2·IS·REAL(mtx)·is·1·if·mtx·has·real·entries·and·0·otherwise.\xd20 ··············A2·IS·REAL(mtx)·is·1·if·mtx·has·real·entries·and·0·otherwise.\xd
21 ··············A2·IS·COMPLEX(mtx)·is·1·if·mtx·has·complex·entries·and·0·otherwise.\xd21 ··············A2·IS·COMPLEX(mtx)·is·1·if·mtx·has·complex·entries·and·0·otherwise.\xd
22 ···········TheA2·copyEntriesToVector()methodusesthefollowingconstants:·A2·STRICT·LOWER,A2·LOWER,A2·DIAGONAL,\xd22 ···········TheA2·copyEntriesToVector()methodusesthefollowingconstants:·A2·STRICT·LOWER,A2·LOWER,A2·DIAGONAL,\xd
23 ···········A2·UPPER,·A2·STRICT·UPPER,·A2·ALL·ENTRIES,·A2·BY·ROWS·and·A2·BY·COLUMNS.\xd23 ···········A2·UPPER,·A2·STRICT·UPPER,·A2·ALL·ENTRIES,·A2·BY·ROWS·and·A2·BY·COLUMNS.\xd
24 ···········1.2··Prototypes·and·descriptions·of·A2·methods\xd24 ···········1.2··Prototypes·and·descriptions·of·A2·methods\xd
25 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·A2·object.\xd25 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·A2·object.\xd
26 ·············································1\xd26 ·············································1\xd
27 ··············2·······························A2·:·DRAFT·January·7,·2024\xd27 ··············2······························A2·:·DRAFT·February·8,·2025\xd
28 ··············1.2.1··Basic·methods\xd28 ··············1.2.1··Basic·methods\xd
29 ··············Asusual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing·any·allocated\xd29 ··············Asusual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing·any·allocated\xd
30 ··············data,·and·free’ing·the·object.\xd30 ··············data,·and·free’ing·the·object.\xd
31 ················1.·A2·*·A2_new·(·void·)·;\xd31 ················1.·A2·*·A2_new·(·void·)·;\xd
32 ··················This·method·simply·allocates·storage·for·the·A2·structure·and·then·sets·the·default·fields·by·a·call·to\xd32 ··················This·method·simply·allocates·storage·for·the·A2·structure·and·then·sets·the·default·fields·by·a·call·to\xd
33 ··················A2·setDefaultFields().\xd33 ··················A2·setDefaultFields().\xd
34 ················2.·void·A2_setDefaultFields·(·A2·*mtx·)·;\xd34 ················2.·void·A2_setDefaultFields·(·A2·*mtx·)·;\xd
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56 ················4.·int·A2_inc2·(·A2·*mtx·)·;\xd56 ················4.·int·A2_inc2·(·A2·*mtx·)·;\xd
57 ··················This·method·returns·the·secondary·increment,·the·stride·in·memory·(with·respect·to·real·or·complex\xd57 ··················This·method·returns·the·secondary·increment,·the·stride·in·memory·(with·respect·to·real·or·complex\xd
58 ··················entries)·between·adjacent·entries·in·the·same·row.\xd58 ··················entries)·between·adjacent·entries·in·the·same·row.\xd
59 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd59 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
60 ················5.·double·*·A2_entries·(·A2·*mtx·)·;\xd60 ················5.·double·*·A2_entries·(·A2·*mtx·)·;\xd
61 ··················This·method·returns·a·pointer·to·the·base·address·of·the·entries.\xd61 ··················This·method·returns·a·pointer·to·the·base·address·of·the·entries.\xd
62 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd62 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
63 ············································A2·:·DRAFT··January·7,·2024························3\xd63 ···········································A2·:·DRAFT···February·8,·2025·······················3\xd
64 ···············6.·double·*·A2_row·(·A2·*mtx,·int·irow·)·;\xd64 ···············6.·double·*·A2_row·(·A2·*mtx,·int·irow·)·;\xd
65 ··················This·method·returns·a·pointer·to·the·leading·element·of·row·irow.\xd65 ··················This·method·returns·a·pointer·to·the·leading·element·of·row·irow.\xd
66 ··················Error·checking:·If·mtx·or·entries·is·NULL,·or·if·irow·is·not·in·[0,n1-1],·an·error·message·is·printed\xd66 ··················Error·checking:·If·mtx·or·entries·is·NULL,·or·if·irow·is·not·in·[0,n1-1],·an·error·message·is·printed\xd
67 ··················and·the·program·exits.\xd67 ··················and·the·program·exits.\xd
68 ···············7.·double·*·A2_column·(·A2·*mtx,·int·jcol·)·;\xd68 ···············7.·double·*·A2_column·(·A2·*mtx,·int·jcol·)·;\xd
69 ··················This·method·returns·a·pointer·to·the·leading·element·of·column·jcol.\xd69 ··················This·method·returns·a·pointer·to·the·leading·element·of·column·jcol.\xd
70 ··················Error·checking:·If·mtx·or·entries·is·NULL,·or·if·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed\xd70 ··················Error·checking:·If·mtx·or·entries·is·NULL,·or·if·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed\xd
Offset 93, 15 lines modifiedOffset 93, 15 lines modified
93 ··················or·if·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed·and·the·program·exits.\xd93 ··················or·if·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed·and·the·program·exits.\xd
94 ··············13.·void·A2_pointerToComplexEntry·(·A2·*mtx,·int·irow,·int·jcol,\xd94 ··············13.·void·A2_pointerToComplexEntry·(·A2·*mtx,·int·irow,·int·jcol,\xd
95 ···············································double·**ppReal,·double·**ppImag·)·;\xd95 ···············································double·**ppReal,·double·**ppImag·)·;\xd
96 ··················This·method·sets·*ppReal·to·the·pointer·to·the·real·part·of·the·(irow,jcol)·entry,·and·sets·*ppImag\xd96 ··················This·method·sets·*ppReal·to·the·pointer·to·the·real·part·of·the·(irow,jcol)·entry,·and·sets·*ppImag\xd
97 ··················to·the·pointer·to·the·imaginary·part·of·the·(irow,jcol)·entry.\xd97 ··················to·the·pointer·to·the·imaginary·part·of·the·(irow,jcol)·entry.\xd
98 ··················Error·checking:·If·mtx,·ppReal·or·ppImag·is·NULL,·or·if·the·matrix·is·not·complex,·or·if·irow·is·not·in\xd98 ··················Error·checking:·If·mtx,·ppReal·or·ppImag·is·NULL,·or·if·the·matrix·is·not·complex,·or·if·irow·is·not·in\xd
99 ··················[0,n1-1],·or·if·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed·and·the·program·exits.\xd99 ··················[0,n1-1],·or·if·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed·and·the·program·exits.\xd
100 ··············4·································A2·:·DRAFT·January·7,·2024\xd100 ··············4·································A2·:·DRAFT·February·8,·2025\xd
101 ··············1.2.3···Initialize·methods\xd101 ··············1.2.3···Initialize·methods\xd
102 ·················1.·void·A2_init·(·A2·*mtx,·int·type,·int·n1,·int·n2,·int·inc1,·int·inc2,\xd102 ·················1.·void·A2_init·(·A2·*mtx,·int·type,·int·n1,·int·n2,·int·inc1,·int·inc2,\xd
103 ··································double·*entries·)·;\xd103 ··································double·*entries·)·;\xd
104 ···················This·is·the·basic·initializer·method.·We·require·that·mtx·not·be·NULL,·type·be·either·SPOOLES·REAL\xd104 ···················This·is·the·basic·initializer·method.·We·require·that·mtx·not·be·NULL,·type·be·either·SPOOLES·REAL\xd
105 ···················or·SPOOLES·COMPLEX,·n1·and·n2·both·be·positive,·and·both·inc1·and·inc2·both·be·positive·and·that\xd105 ···················or·SPOOLES·COMPLEX,·n1·and·n2·both·be·positive,·and·both·inc1·and·inc2·both·be·positive·and·that\xd
106 ···················one·of·them·be·equal·to·one.·Also,·we·only·initialize·a·full·matrix,·i.e.,·one·of·inc1·=·1·and·inc2·=\xd106 ···················one·of·them·be·equal·to·one.·Also,·we·only·initialize·a·full·matrix,·i.e.,·one·of·inc1·=·1·and·inc2·=\xd
107 ···················nrow·or·inc1·=·ncol·and·inc2·=·1·must·hold.\xd107 ···················nrow·or·inc1·=·ncol·and·inc2·=·1·must·hold.\xd
Offset 134, 15 lines modifiedOffset 134, 15 lines modified
134 ···················Error·checking:·If·A·or·workDV·is·NULL,·or·if·msglvl·>·0·and·msgFile·if·NULL,·an·error·message·is\xd134 ···················Error·checking:·If·A·or·workDV·is·NULL,·or·if·msglvl·>·0·and·msgFile·if·NULL,·an·error·message·is\xd
135 ···················printed·and·the·program·exits.\xd135 ···················printed·and·the·program·exits.\xd
136 ·················3.·void·A2_computeQ·(·A2·*Q,·A2·*A,·DV·*workDV,·int·msglvl,·FILE·*msgFile·)·;\xd136 ·················3.·void·A2_computeQ·(·A2·*Q,·A2·*A,·DV·*workDV,·int·msglvl,·FILE·*msgFile·)·;\xd
137 ···················This·method·computes·Q·from·the·A·=·QR·factorization·computed·in·A2·QRreduce().·Note:·A·and·Q\xd137 ···················This·method·computes·Q·from·the·A·=·QR·factorization·computed·in·A2·QRreduce().·Note:·A·and·Q\xd
138 ···················must·be·column·major.\xd138 ···················must·be·column·major.\xd
139 ···················Error·checking:·If·Q,·A·or·workDV·is·NULL,·or·if·msglvl·>·0·and·msgFile·if·NULL,·an·error·message·is\xd139 ···················Error·checking:·If·Q,·A·or·workDV·is·NULL,·or·if·msglvl·>·0·and·msgFile·if·NULL,·an·error·message·is\xd
140 ···················printed·and·the·program·exits.\xd140 ···················printed·and·the·program·exits.\xd
141 ············································A2·:·DRAFT··January·7,·2024························5\xd141 ···········································A2·:·DRAFT···February·8,·2025·······················5\xd
142 ···············4.·void·A2_applyQT·(·A2·*Y,·A2·*A,·A2·*X,·DV·*workDV,·int·msglvl,·FILE·*msgFile·)·;\xd142 ···············4.·void·A2_applyQT·(·A2·*Y,·A2·*A,·A2·*X,·DV·*workDV,·int·msglvl,·FILE·*msgFile·)·;\xd
143 ·········································T···············H\xd143 ·········································T···············H\xd
144 ··················This·method·computes·Y·=·Q·X·(if·real)·or·Y·=·Q·X·(if·complex),·where·Q·is·stored·in·Householder\xd144 ··················This·method·computes·Y·=·Q·X·(if·real)·or·Y·=·Q·X·(if·complex),·where·Q·is·stored·in·Householder\xd
145 ··················vectors·inside·A.·We·assume·that·A2·reduce()·has·been·previously·called·with·A·as·an·argument.·Since\xd145 ··················vectors·inside·A.·We·assume·that·A2·reduce()·has·been·previously·called·with·A·as·an·argument.·Since\xd
146 ··················Y·is·computed·column-by-column,·X·and·Y·can·be·the·same·A2·object.·The·workDV·object·is·resized\xd146 ··················Y·is·computed·column-by-column,·X·and·Y·can·be·the·same·A2·object.·The·workDV·object·is·resized\xd
147 ··················as·necessary.·Note:·Y,·A·and·X·must·be·column·major.\xd147 ··················as·necessary.·Note:·Y,·A·and·X·must·be·column·major.\xd
148 ··················Error·checking:·If·Y,·A,·X·or·workDV·is·NULL,·or·if·msglvl·>·0·and·msgFile·if·NULL,·or·if·Y,·A·or·X·is\xd148 ··················Error·checking:·If·Y,·A,·X·or·workDV·is·NULL,·or·if·msglvl·>·0·and·msgFile·if·NULL,·or·if·Y,·A·or·X·is\xd
Offset 174, 15 lines modifiedOffset 174, 15 lines modified
174 ··················This·method·returns·the·infinity-norm·of·column·jcol·of·the·matrix.\xd174 ··················This·method·returns·the·infinity-norm·of·column·jcol·of·the·matrix.\xd
175 ··················Error·checking:·If·mtx·is·NULL,·or·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed·and·the·program\xd175 ··················Error·checking:·If·mtx·is·NULL,·or·jcol·is·not·in·[0,n2-1],·an·error·message·is·printed·and·the·program\xd
176 ··················exits.\xd176 ··················exits.\xd
177 ···············8.·double·A2_oneNormOfRow·(·A2·*mtx,·int·irow·)·;\xd177 ···············8.·double·A2_oneNormOfRow·(·A2·*mtx,·int·irow·)·;\xd
178 ··················This·method·returns·the·one-norm·of·row·irow·of·the·matrix.\xd178 ··················This·method·returns·the·one-norm·of·row·irow·of·the·matrix.\xd
179 ··················Error·checking:·If·mtx·is·NULL,·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and·the·program\xd179 ··················Error·checking:·If·mtx·is·NULL,·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and·the·program\xd
180 ··················exits.\xd180 ··················exits.\xd
181 ··············6·······························A2·:·DRAFT·January·7,·2024\xd181 ··············6······························A2·:·DRAFT·February·8,·2025\xd
182 ················9.·double·A2_twoNormOfRow·(·A2·*mtx,·int·irow·)·;\xd182 ················9.·double·A2_twoNormOfRow·(·A2·*mtx,·int·irow·)·;\xd
183 ··················This·method·returns·the·two-norm·of·row·irow·of·the·matrix.\xd183 ··················This·method·returns·the·two-norm·of·row·irow·of·the·matrix.\xd
184 ··················Error·checking:·If·mtx·is·NULL,·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and·the·program\xd184 ··················Error·checking:·If·mtx·is·NULL,·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and·the·program\xd
185 ··················exits.\xd185 ··················exits.\xd
186 ···············10.·double·A2_infinityNormOfRow·(·A2·*mtx,·int·irow·)·;\xd186 ···············10.·double·A2_infinityNormOfRow·(·A2·*mtx,·int·irow·)·;\xd
187 ··················This·method·returns·the·infinity-norm·of·row·irow·of·the·matrix.\xd187 ··················This·method·returns·the·infinity-norm·of·row·irow·of·the·matrix.\xd
188 ··················Error·checking:·If·mtx·is·NULL,·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and·the·program\xd188 ··················Error·checking:·If·mtx·is·NULL,·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and·the·program\xd
Offset 213, 15 lines modifiedOffset 213, 15 lines modified
213 ··············1.2.7··Utility·methods\xd213 ··············1.2.7··Utility·methods\xd
214 ················1.·int·A2_sizeOf·(·A2·*mtx·)·;\xd214 ················1.·int·A2_sizeOf·(·A2·*mtx·)·;\xd
215 ··················This·method·returns·the·number·of·bytes·owned·by·this·object.\xd215 ··················This·method·returns·the·number·of·bytes·owned·by·this·object.\xd
216 ··················Error·checking:·If·mtx·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd216 ··················Error·checking:·If·mtx·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
217 ················2.·void·A2_shiftBase·(·A2·*mtx,·int·rowoff,·int·coloff·)·;\xd217 ················2.·void·A2_shiftBase·(·A2·*mtx,·int·rowoff,·int·coloff·)·;\xd
218 ··················This·method·is·used·to·shift·the·base·of·the·entries·and·adjust·dimensions·of·the·A2·object.\xd218 ··················This·method·is·used·to·shift·the·base·of·the·entries·and·adjust·dimensions·of·the·A2·object.\xd
219 ··················mtx(0:n1-rowoff-1,0:n2-coloff-1)·:=·mtx(rowoff:n1-1,coloff:n2-1)\xd219 ··················mtx(0:n1-rowoff-1,0:n2-coloff-1)·:=·mtx(rowoff:n1-1,coloff:n2-1)\xd
220 ············································A2·:·DRAFT··January·7,·2024························7\xd220 ···········································A2·:·DRAFT···February·8,·2025·······················7\xd
221 ··················Error·checking:·If·mtx·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd221 ··················Error·checking:·If·mtx·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
222 ···············3.·int·A2_rowMajor·(·A2·*mtx·)·;\xd222 ···············3.·int·A2_rowMajor·(·A2·*mtx·)·;\xd
223 ··················This·method·returns·1·if·the·storage·is·row·major,·otherwise·it·returns·zero.\xd223 ··················This·method·returns·1·if·the·storage·is·row·major,·otherwise·it·returns·zero.\xd
224 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd224 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
225 ···············4.·int·A2_columnMajor·(·A2·*mtx·)·;\xd225 ···············4.·int·A2_columnMajor·(·A2·*mtx·)·;\xd
226 ··················This·method·returns·1·if·the·storage·is·column·major,·otherwise·it·returns·zero.\xd226 ··················This·method·returns·1·if·the·storage·is·column·major,·otherwise·it·returns·zero.\xd
227 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd227 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
Offset 253, 15 lines modifiedOffset 253, 15 lines modified
253 ··················This·method·fills·the·colZV·object·with·column·jcol·of·the·matrix.\xd253 ··················This·method·fills·the·colZV·object·with·column·jcol·of·the·matrix.\xd
254 ··················Error·checking:·If·mtx·or·colZV·are·NULL,·or·if·the·matrix·is·not·complex,·or·if·jcol·is·not·in·[0,n2-1],\xd254 ··················Error·checking:·If·mtx·or·colZV·are·NULL,·or·if·the·matrix·is·not·complex,·or·if·jcol·is·not·in·[0,n2-1],\xd
255 ··················an·error·message·is·printed·and·the·program·exits.\xd255 ··················an·error·message·is·printed·and·the·program·exits.\xd
256 ··············12.·void·A2_setRow·(·A2·*mtx,·double·row[],·int·irow·)·;\xd256 ··············12.·void·A2_setRow·(·A2·*mtx,·double·row[],·int·irow·)·;\xd
257 ··················This·method·fills·row·irow·of·the·matrix·with·the·entries·in·the·row[]·vector.\xd257 ··················This·method·fills·row·irow·of·the·matrix·with·the·entries·in·the·row[]·vector.\xd
258 ··················Error·checking:·If·mtx,·entries·or·row[]·are·NULL,·or·if·irow·is·not·in·[0,n1-1],·an·error·message·is\xd258 ··················Error·checking:·If·mtx,·entries·or·row[]·are·NULL,·or·if·irow·is·not·in·[0,n1-1],·an·error·message·is\xd
259 ··················printed·and·the·program·exits.\xd259 ··················printed·and·the·program·exits.\xd
260 ········8·················A2·:·DRAFT·January·7,·2024\xd260 ········8················A2·:·DRAFT·February·8,·2025\xd
261 ········13.·void·A2_setRowDV·(·A2·*mtx,·DV·rowDV,·int·irow·)·;\xd261 ········13.·void·A2_setRowDV·(·A2·*mtx,·DV·rowDV,·int·irow·)·;\xd
262 ··········This·method·fills·row·irow·of·the·matrix·with·the·entries·in·the·rowDV·object.\xd262 ··········This·method·fills·row·irow·of·the·matrix·with·the·entries·in·the·rowDV·object.\xd
263 ··········Error·checking:·If·mtx·or·rowDV·are·NULL,·or·if·the·matrix·is·not·real,·or·if·irow·is·not·in·[0,n1-1],\xd263 ··········Error·checking:·If·mtx·or·rowDV·are·NULL,·or·if·the·matrix·is·not·real,·or·if·irow·is·not·in·[0,n1-1],\xd
264 ··········an·error·message·is·printed·and·the·program·exits.\xd264 ··········an·error·message·is·printed·and·the·program·exits.\xd
265 ········14.·void·A2_setRowZV·(·A2·*mtx,·ZV·rowZV,·int·irow·)·;\xd265 ········14.·void·A2_setRowZV·(·A2·*mtx,·ZV·rowZV,·int·irow·)·;\xd
266 ··········This·method·fills·row·irow·of·the·matrix·with·the·entries·in·the·rowZV·object.\xd266 ··········This·method·fills·row·irow·of·the·matrix·with·the·entries·in·the·rowZV·object.\xd
267 ··········Error·checking:·If·mtx·or·rowZV·are·NULL,·or·if·the·matrix·is·not·complex,·or·if·irow·is·not·in·[0,n1-1],\xd267 ··········Error·checking:·If·mtx·or·rowZV·are·NULL,·or·if·the·matrix·is·not·complex,·or·if·irow·is·not·in·[0,n1-1],\xd
Offset 294, 15 lines modifiedOffset 294, 15 lines modified
294 ··········Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd294 ··········Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
295 ········22.·void·A2_copy·(·A2·*mtxA,·A2·*mtxB·)·;\xd295 ········22.·void·A2_copy·(·A2·*mtxA,·A2·*mtxB·)·;\xd
296 ··········This·method·copies·entries·from·matrix·mtxB·into·matrix·mtxA.·Note,·mtxA·and·mtxB·need·not·be·of\xd296 ··········This·method·copies·entries·from·matrix·mtxB·into·matrix·mtxA.·Note,·mtxA·and·mtxB·need·not·be·of\xd
297 ··········the·same·size,·the·leading·min(mtxA->n1,mtxB->n1)rows·and·min(mtxA->n2,mtxB->n2)columns·are\xd297 ··········the·same·size,·the·leading·min(mtxA->n1,mtxB->n1)rows·and·min(mtxA->n2,mtxB->n2)columns·are\xd
298 ··········copied.\xd298 ··········copied.\xd
299 ··········Error·checking:·If·mtxA·or·mtxB·is·NULL,·or·if·the·matrices·are·not·of·the·same·type,·an·error·message\xd299 ··········Error·checking:·If·mtxA·or·mtxB·is·NULL,·or·if·the·matrices·are·not·of·the·same·type,·an·error·message\xd
300 ··········is·printed·and·the·program·exits.\xd300 ··········is·printed·and·the·program·exits.\xd
301 ············································A2·:·DRAFT··January·7,·2024························9\xd301 ···········································A2·:·DRAFT···February·8,·2025·······················9\xd
302 ··············23.·void·A2_sub·(·A2·*mtxA,·A2·*mtxB·)·;\xd302 ··············23.·void·A2_sub·(·A2·*mtxA,·A2·*mtxB·)·;\xd
303 ··················This·method·subtracts·entries·in·matrix·mtxB·from·entries·in·matrix·mtxA.·Note,·mtxA·and·mtxB·need\xd303 ··················This·method·subtracts·entries·in·matrix·mtxB·from·entries·in·matrix·mtxA.·Note,·mtxA·and·mtxB·need\xd
304 ··················not·be·of·the·same·size,·the·leading·min(mtxA->n1,mtxB->n1)·rows·and·min(mtxA->n2,mtxB->n2)\xd304 ··················not·be·of·the·same·size,·the·leading·min(mtxA->n1,mtxB->n1)·rows·and·min(mtxA->n2,mtxB->n2)\xd
305 ··················columns·are·subtracted.\xd305 ··················columns·are·subtracted.\xd
306 ··················Error·checking:·If·mtxA·or·mtxB·is·NULL,·or·if·the·matrices·are·not·of·the·same·type,·an·error·message\xd306 ··················Error·checking:·If·mtxA·or·mtxB·is·NULL,·or·if·the·matrices·are·not·of·the·same·type,·an·error·message\xd
307 ··················is·printed·and·the·program·exits.\xd307 ··················is·printed·and·the·program·exits.\xd
308 ··············24.·void·A2_swapRows·(·A2·*mtx,·int·irow1,·int·irow2·)·;\xd308 ··············24.·void·A2_swapRows·(·A2·*mtx,·int·irow1,·int·irow2·)·;\xd
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30.2 KB
./usr/share/doc/spooles-doc/AllInOne.ps.gz
30.1 KB
AllInOne.ps
    
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Offset 1, 8 lines modifiedOffset 1, 8 lines modified
1 ·····························Solving·Linear·Systems·using·SPOOLES·2.2\xd1 ·····························Solving·Linear·Systems·using·SPOOLES·2.2\xd
2 ·································C.·C.·Ashcraft,·R.·G.·Grimes,·D.·J.·Pierce,·D.·K.·Wah\xd2 ·································C.·C.·Ashcraft,·R.·G.·Grimes,·D.·J.·Pierce,·D.·K.·Wah\xd
3 ·················································Boeing·Phantom·Works∗\xd3 ·················································Boeing·Phantom·Works∗\xd
4 ·····················································January·7,·2024\xd4 ·····················································February·8,·2025\xd
5 ·················∗P.·O.·Box·24346,·Mail·Stop·7L-22,·Seattle,·Washington·98124.·This·research·was·supported·in·part·by·the·DARPA\xd5 ·················∗P.·O.·Box·24346,·Mail·Stop·7L-22,·Seattle,·Washington·98124.·This·research·was·supported·in·part·by·the·DARPA\xd
6 ···············Contract·DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software\xd6 ···············Contract·DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software\xd
7 ···············Support·Initiative.\xd7 ···············Support·Initiative.\xd
8 ·····························································1\xd8 ·····························································1\xd
22.4 KB
./usr/share/doc/spooles-doc/BKL.ps.gz
22.3 KB
BKL.ps
    
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Offset 18, 15 lines modifiedOffset 18, 15 lines modified
18 ··············int·ngaineval·:·number·of·gain·evaluations,·roughly·equivalent·to·the·number·of·degree\xd18 ··············int·ngaineval·:·number·of·gain·evaluations,·roughly·equivalent·to·the·number·of·degree\xd
19 ···············evaluations·in·the·minimum·degree·algorithm\xd19 ···············evaluations·in·the·minimum·degree·algorithm\xd
20 ··············int·*colors·:·pointer·to·an·int·vector·of·size·nreg,·colors[idom]·is·1·or·2·for·domain\xd20 ··············int·*colors·:·pointer·to·an·int·vector·of·size·nreg,·colors[idom]·is·1·or·2·for·domain\xd
21 ···············idom,·colors[iseg]·is·0,·1·or·2·for·segment·iseg.\xd21 ···············idom,·colors[iseg]·is·0,·1·or·2·for·segment·iseg.\xd
22 ··············int·*cweights·:·pointer·to·an·int·vector·of·size·3,·cweights[0]·contains·the·weight·of·the\xd22 ··············int·*cweights·:·pointer·to·an·int·vector·of·size·3,·cweights[0]·contains·the·weight·of·the\xd
23 ···············separator,·cweights[1]·and·cweights[2]·contains·the·weights·of·the·two·components\xd23 ···············separator,·cweights[1]·and·cweights[2]·contains·the·weights·of·the·two·components\xd
24 ·············································1\xd24 ·············································1\xd
25 ·············2·····························BKL·:·DRAFT·January·7,·2024\xd25 ·············2····························BKL·:·DRAFT·February·8,·2025\xd
26 ·················int·*regwghts·:·pointer·to·an·int·vector·of·size·nreg,·used·to·store·the·weights·of·the\xd26 ·················int·*regwghts·:·pointer·to·an·int·vector·of·size·nreg,·used·to·store·the·weights·of·the\xd
27 ··················domains·and·segments\xd27 ··················domains·and·segments\xd
28 ·················float·alpha·:·number·used·to·store·the·partition·evaluation·parameter,·the·cost·of·the\xd28 ·················float·alpha·:·number·used·to·store·the·partition·evaluation·parameter,·the·cost·of·the\xd
29 ··················partition·is\xd29 ··················partition·is\xd
30 ··················balance·=·max(cweights[1],·cweights[2])/min(cweights[1],·cweights[2])·;\xd30 ··················balance·=·max(cweights[1],·cweights[2])/min(cweights[1],·cweights[2])·;\xd
31 ··················cost····=·cweights[0]*(1.·+·alpha*balance)·;\xd31 ··················cost····=·cweights[0]*(1.·+·alpha*balance)·;\xd
32 ·············1.2····Prototypes·and·descriptions·of·BKL·methods\xd32 ·············1.2····Prototypes·and·descriptions·of·BKL·methods\xd
Offset 47, 15 lines modifiedOffset 47, 15 lines modified
47 ··················This·method·clears·any·data·allocated·by·the·object,·namely·the·colors·and·regwghts·vec-\xd47 ··················This·method·clears·any·data·allocated·by·the·object,·namely·the·colors·and·regwghts·vec-\xd
48 ··················tors.·It·then·fills·the·structure’s·fields·with·default·values·with·a·call·to·BKL·setDefaultFields().\xd48 ··················tors.·It·then·fills·the·structure’s·fields·with·default·values·with·a·call·to·BKL·setDefaultFields().\xd
49 ··················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd49 ··················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
50 ···············4.·void·BKL_free·(·BKL·*bkl·)·;\xd50 ···············4.·void·BKL_free·(·BKL·*bkl·)·;\xd
51 ··················This·method·releases·any·storage·by·a·call·to·BKL·clearData()·then·free’s·the·storage·for\xd51 ··················This·method·releases·any·storage·by·a·call·to·BKL·clearData()·then·free’s·the·storage·for\xd
52 ··················the·structure·with·a·call·to·free().\xd52 ··················the·structure·with·a·call·to·free().\xd
53 ··················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd53 ··················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
54 ········································BKL·:·DRAFT··January·7,·2024·····················3\xd54 ·······································BKL·:·DRAFT···February·8,·2025····················3\xd
55 ············1.3.1··Initializer·methods\xd55 ············1.3.1··Initializer·methods\xd
56 ···············1.·void·BKL_init·(·BKL·*bkl,·BPG·*bpg,·float·alpha·)·;\xd56 ···············1.·void·BKL_init·(·BKL·*bkl,·BPG·*bpg,·float·alpha·)·;\xd
57 ·················This·method·initializes·the·BKL·object·given·a·bipartite·graph·object·and·cost·function·pa-\xd57 ·················This·method·initializes·the·BKL·object·given·a·bipartite·graph·object·and·cost·function·pa-\xd
58 ·················rameter·as·input.·Any·previous·data·is·cleared·with·a·call·to·BKL·clearData().·The·ndom,\xd58 ·················rameter·as·input.·Any·previous·data·is·cleared·with·a·call·to·BKL·clearData().·The·ndom,\xd
59 ·················nseg·and·nreg·scalars·are·set,·the·regwghts[]·vector·allocated·and·filled,·and·the·colors[]\xd59 ·················nseg·and·nreg·scalars·are·set,·the·regwghts[]·vector·allocated·and·filled,·and·the·colors[]\xd
60 ·················vector·allocated·and·filled·with·zeros.\xd60 ·················vector·allocated·and·filled·with·zeros.\xd
61 ·················Error·checking:·If·bkl·or·bpg·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd61 ·················Error·checking:·If·bkl·or·bpg·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
Offset 84, 15 lines modifiedOffset 84, 15 lines modified
84 ·················This·method·returns·the·next·domain·id·in·a·grey·code·sequence,·used·to·exhaustively·search\xd84 ·················This·method·returns·the·next·domain·id·in·a·grey·code·sequence,·used·to·exhaustively·search\xd
85 ·················of·a·subspace·of·partitions·defined·by·set·of·candidate·domains·to·flip.·The·value·count\xd85 ·················of·a·subspace·of·partitions·defined·by·set·of·candidate·domains·to·flip.·The·value·count\xd
86 ·················ranges·from·1·to·2ndom.\xd86 ·················ranges·from·1·to·2ndom.\xd
87 ·················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd87 ·················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
88 ···············6.·float·BKL_setInitPart·(·BKL·*bkl,·int·flag,·int·seed,·int·domcolors[]·)·;\xd88 ···············6.·float·BKL_setInitPart·(·BKL·*bkl,·int·flag,·int·seed,·int·domcolors[]·)·;\xd
89 ·················This·method·sets·the·initial·partition·by·coloring·the·domains·and·segments.·The·flag\xd89 ·················This·method·sets·the·initial·partition·by·coloring·the·domains·and·segments.·The·flag\xd
90 ·················parameter·has·the·following·values.\xd90 ·················parameter·has·the·following·values.\xd
91 ··············4·····························BKL·:·DRAFT·January·7,·2024\xd91 ··············4·····························BKL·:·DRAFT·February·8,·2025\xd
92 ······················flag·=·1·−→·random·coloring·of·the·domains\xd92 ······················flag·=·1·−→·random·coloring·of·the·domains\xd
93 ······················flag·=·2·−→·one·black·domain,·(seed·%·ndom),·rest·are·white\xd93 ······················flag·=·2·−→·one·black·domain,·(seed·%·ndom),·rest·are·white\xd
94 ······················flag·=·3·−→·one·black·pseudoperipheral·domain,·found·using·domain·(seed·%·ndom)\xd94 ······················flag·=·3·−→·one·black·pseudoperipheral·domain,·found·using·domain·(seed·%·ndom)\xd
95 ·······················as·root,·rest·are·white\xd95 ·······················as·root,·rest·are·white\xd
96 ······················flag·=·4·−→·roughly·half-half·split,·breadth·first·search·of·domains,·(seed·%·ndom)·as\xd96 ······················flag·=·4·−→·roughly·half-half·split,·breadth·first·search·of·domains,·(seed·%·ndom)·as\xd
97 ·······················root\xd97 ·······················root\xd
98 ······················flag·=·5·−→·roughly·half-half·split,·breadth·first·search·of·domains,·(seed·%·ndom)·as\xd98 ······················flag·=·5·−→·roughly·half-half·split,·breadth·first·search·of·domains,·(seed·%·ndom)·as\xd
Offset 119, 15 lines modifiedOffset 119, 15 lines modified
119 ···················The·|S|,·|B|·and·|W|·values·are·taken·from·the·cweights[]·vector.·If·min(|B|,|W|)·>·0,·this\xd119 ···················The·|S|,·|B|·and·|W|·values·are·taken·from·the·cweights[]·vector.·If·min(|B|,|W|)·>·0,·this\xd
120 ···················function·returns··············\x12···················\x13\xd120 ···················function·returns··············\x12···················\x13\xd
121 ··············································|S|·1+α∗max(|B|,|W|)·,\xd121 ··············································|S|·1+α∗max(|B|,|W|)·,\xd
122 ·························································min(|B|,|W|)\xd122 ·························································min(|B|,|W|)\xd
123 ···················································2\xd123 ···················································2\xd
124 ···················otherwise·it·returns·(|S|·+·|B|·+·|W|)·.\xd124 ···················otherwise·it·returns·(|S|·+·|B|·+·|W|)·.\xd
125 ···················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd125 ···················Error·checking:·If·bkl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
126 ····················································BKL·:·DRAFT·······January·7,·2024·································5\xd126 ····················································BKL·:·DRAFT·······February·8,·2025································5\xd
127 ···················3.·float·BKL_eval·(·BKL·*bkl,·int·Sweight,·int·Bweight,·int·Wweight·)·;\xd127 ···················3.·float·BKL_eval·(·BKL·*bkl,·int·Sweight,·int·Bweight,·int·Wweight·)·;\xd
128 ······················The·|S|,·|B|·and·|W|·values·are·taken·from·the·Sweight,·Bweight·and·Wweight·parameters.\xd128 ······················The·|S|,·|B|·and·|W|·values·are·taken·from·the·Sweight,·Bweight·and·Wweight·parameters.\xd
129 ······················If·min(|B|,|W|)·>·0,·this·function·returns\xd129 ······················If·min(|B|,|W|)·>·0,·this·function·returns\xd
130 ························································|S|\x121+α∗·max(|B|,|W|)\x13,\xd130 ························································|S|\x121+α∗·max(|B|,|W|)\x13,\xd
131 ·····································································min(|B|,|W|)\xd131 ·····································································min(|B|,|W|)\xd
132 ······························································2\xd132 ······························································2\xd
133 ······················otherwise·it·returns·(|S|·+·|B|·+·|W|)·.·The·method·checks·that·bkl·is·not·NULL.\xd133 ······················otherwise·it·returns·(|S|·+·|B|·+·|W|)·.·The·method·checks·that·bkl·is·not·NULL.\xd
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BPG.ps
    
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11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
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15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
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19 %%BeginProcSet:·tex.pro·0·019 %%BeginProcSet:·tex.pro·0·0
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22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1426, 20 lines modifiedOffset 1426, 21 lines modified
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1433 dup·52·/four·put 
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Offset 29, 15 lines modifiedOffset 29, 15 lines modified
29 ········code·for·the·process·outweighed·(outline’d?)·the·BPG·code·for·the·data.·Now·if·someone·wants·to·modify\xd29 ········code·for·the·process·outweighed·(outline’d?)·the·BPG·code·for·the·data.·Now·if·someone·wants·to·modify\xd
30 ········(and·hopefully·improve)·the·Kernighan-Lin·process,·they·won’t·alter·the·behavior·of·the·bipartite·graph\xd30 ········(and·hopefully·improve)·the·Kernighan-Lin·process,·they·won’t·alter·the·behavior·of·the·bipartite·graph\xd
31 ········object.\xd31 ········object.\xd
32 ·········Finding·the·Dulmage-Mendelsohn·decomposition·of·a·bipartite·graph·is·a·little·less·clear·cut.·When·the\xd32 ·········Finding·the·Dulmage-Mendelsohn·decomposition·of·a·bipartite·graph·is·a·little·less·clear·cut.·When·the\xd
33 ········vertices·in·the·bipartite·graph·have·unit·weight,·the·process·is·straightforward.\xd33 ········vertices·in·the·bipartite·graph·have·unit·weight,·the·process·is·straightforward.\xd
34 ··········Find·a·maximum·matching.\xd34 ··········Find·a·maximum·matching.\xd
35 ·······························1\xd35 ·······························1\xd
36 ········2················BPG·:·DRAFT·January·7,·2024\xd36 ········2················BPG·:·DRAFT·February·8,·2025\xd
37 ··········Drop·an·alternating·level·structure·from·exposed·nodes·in·X.\xd37 ··········Drop·an·alternating·level·structure·from·exposed·nodes·in·X.\xd
38 ··········Drop·an·alternating·level·structure·from·exposed·nodes·in·Y·.\xd38 ··········Drop·an·alternating·level·structure·from·exposed·nodes·in·Y·.\xd
39 ··········Based·on·the·two·previous·steps,·partition·X·into·three·pieces·and·Y·into·three·pieces·and·form·a·new\xd39 ··········Based·on·the·two·previous·steps,·partition·X·into·three·pieces·and·Y·into·three·pieces·and·form·a·new\xd
40 ··········separator·from·the·pieces.\xd40 ··········separator·from·the·pieces.\xd
41 ········(If·these·terms·are·not·familiar,·see·[?];·our·present·purpose·is·a·discussion·of·software·design,·not·algorithms.)\xd41 ········(If·these·terms·are·not·familiar,·see·[?];·our·present·purpose·is·a·discussion·of·software·design,·not·algorithms.)\xd
42 ········Amatching·is·a·very·common·operation·on·a·bipartite·graph,·so·it·is·not·unreasonable·to·expand·the·data\xd42 ········Amatching·is·a·very·common·operation·on·a·bipartite·graph,·so·it·is·not·unreasonable·to·expand·the·data\xd
43 ········object·to·include·some·mechanism·for·matching,·e.g.,·a·mate[]·vector.·Finding·a·maximum·matching·is\xd43 ········object·to·include·some·mechanism·for·matching,·e.g.,·a·mate[]·vector.·Finding·a·maximum·matching·is\xd
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78 ····················································b\xd78 ····················································b\xd
79 ········separator·size.·But,·if·we·consider·S··(Adj(S)··B)·to·be·a·wide·separator,·the·resulting·separator·S·need\xd79 ········separator·size.·But,·if·we·consider·S··(Adj(S)··B)·to·be·a·wide·separator,·the·resulting·separator·S·need\xd
80 ········not·be·a·separator·with·minimal·weight·that·is·found·within·the·wide·separator.·The·trick·is·that·some\xd80 ········not·be·a·separator·with·minimal·weight·that·is·found·within·the·wide·separator.·The·trick·is·that·some\xd
81 ········nodes·in·Adj(S)∩B·might·be·absorbed·into·W.\xd81 ········nodes·in·Adj(S)∩B·might·be·absorbed·into·W.\xd
82 ·········Onecanfindaseparatorwith·minimal·weight·from·the·wide·separator·S∪(Adj(S)∩B),·in·fact·from·any\xd82 ·········Onecanfindaseparatorwith·minimal·weight·from·the·wide·separator·S∪(Adj(S)∩B),·in·fact·from·any\xd
83 ········wide·separator·that·contains·S,·by·solving·a·max·flow·problem.·The·drawback·is·that·the·network·induced\xd83 ········wide·separator·that·contains·S,·by·solving·a·max·flow·problem.·The·drawback·is·that·the·network·induced\xd
84 ········by·S∪(Adj(S)∩B)·need·not·be·bipartite.·In·other·words,·a·bipartite·induced·graph·necessarily·implies·two\xd84 ········by·S∪(Adj(S)∩B)·need·not·be·bipartite.·In·other·words,·a·bipartite·induced·graph·necessarily·implies·two\xd
85 ············································BPG·:·DRAFT···January·7,·2024·························3\xd85 ············································BPG·:·DRAFT··February·8,·2025·························3\xd
86 ··············layers·to·the·wide·separator,·but·the·converse·does·not·hold.·We·were·then·free·to·examine·wide·separators\xd86 ··············layers·to·the·wide·separator,·but·the·converse·does·not·hold.·We·were·then·free·to·examine·wide·separators\xd
87 ··············that·had·more·than·two·layers·from·which·to·find·a·minimal·weight·separator.·It·turns·out·that·three·layers\xd87 ··············that·had·more·than·two·layers·from·which·to·find·a·minimal·weight·separator.·It·turns·out·that·three·layers\xd
88 ··············is·better·than·two,·in·practice.\xd88 ··············is·better·than·two,·in·practice.\xd
89 ················We·did·write·a·separate·object·to·solve·our·max·flow·problem;·see·the·Network·object.·To·smooth·a\xd89 ················We·did·write·a·separate·object·to·solve·our·max·flow·problem;·see·the·Network·object.·To·smooth·a\xd
90 ··············separator,·i.e.,·to·improve·a·2-set·partition,·we·no·longer·have·need·of·the·bipartite·graph·object.·We·leave\xd90 ··············separator,·i.e.,·to·improve·a·2-set·partition,·we·no·longer·have·need·of·the·bipartite·graph·object.·We·leave\xd
91 ··············the·two·Dulmage-Mendelsohn·methods·in·the·BPG·object·for·historical·and·sentimental·reasons.\xd91 ··············the·two·Dulmage-Mendelsohn·methods·in·the·BPG·object·for·historical·and·sentimental·reasons.\xd
92 ··············1.1···Data·Structure\xd92 ··············1.1···Data·Structure\xd
Offset 110, 15 lines modifiedOffset 110, 15 lines modified
110 ··················This·method·releases·the·storage·for·graph·via·a·call·to·Graph·clearData(),·and·then·the·structure’s\xd110 ··················This·method·releases·the·storage·for·graph·via·a·call·to·Graph·clearData(),·and·then·the·structure’s\xd
111 ··················fields·are·then·set·to·their·default·values·with·a·call·to·BPG·setDefaultFields().\xd111 ··················fields·are·then·set·to·their·default·values·with·a·call·to·BPG·setDefaultFields().\xd
112 ··················Error·checking:·If·bpg·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd112 ··················Error·checking:·If·bpg·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
113 ················4.·void·BPG_free·(·BPG·*bpg·)·;\xd113 ················4.·void·BPG_free·(·BPG·*bpg·)·;\xd
114 ··················This·method·releases·any·storage·by·a·call·to·BPG·clearData()then·free’s·the·storage·for·the·structure\xd114 ··················This·method·releases·any·storage·by·a·call·to·BPG·clearData()then·free’s·the·storage·for·the·structure\xd
115 ··················with·a·call·to·free().\xd115 ··················with·a·call·to·free().\xd
116 ··················Error·checking:·If·bpg·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd116 ··················Error·checking:·If·bpg·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
117 ··············4······························BPG·:·DRAFT·January·7,·2024\xd117 ··············4······························BPG·:·DRAFT·February·8,·2025\xd
118 ··············1.2.2··Initializer·methods\xd118 ··············1.2.2··Initializer·methods\xd
119 ··············There·are·two·initializer·methods.\xd119 ··············There·are·two·initializer·methods.\xd
120 ················1.·void·BPG_init·(·BPG·*bpg,·int·nX,·int·nY,·Graph·*graph·)·;\xd120 ················1.·void·BPG_init·(·BPG·*bpg,·int·nX,·int·nY,·Graph·*graph·)·;\xd
121 ··················This·method·initializes·the·BPG·object·when·all·three·of·its·fields·are·given·in·the·calling·sequence.·The\xd121 ··················This·method·initializes·the·BPG·object·when·all·three·of·its·fields·are·given·in·the·calling·sequence.·The\xd
122 ··················Graphobject·has·nX·+·nY·vertices.·Note,·the·BPG·object·now·“owns”·the·Graph·object·and·so·will·free\xd122 ··················Graphobject·has·nX·+·nY·vertices.·Note,·the·BPG·object·now·“owns”·the·Graph·object·and·so·will·free\xd
123 ··················the·Graph·object·when·it·is·free’d.·The·Graph·object·may·contains·edges·between·nodes·in·X·and·Y,\xd123 ··················the·Graph·object·when·it·is·free’d.·The·Graph·object·may·contains·edges·between·nodes·in·X·and·Y,\xd
124 ··················but·these·edges·are·swapped·to·the·end·of·each·adjacency·list·and·the·size·of·each·list·is·then·set.\xd124 ··················but·these·edges·are·swapped·to·the·end·of·each·adjacency·list·and·the·size·of·each·list·is·then·set.\xd
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151 ··········································int·mark[],·int·tag·)·;\xd151 ··········································int·mark[],·int·tag·)·;\xd
152 ··················This·method·drops·a·level·structure·from·vertex·root,·fills·the·dist[]·vector·with·the·distances·from\xd152 ··················This·method·drops·a·level·structure·from·vertex·root,·fills·the·dist[]·vector·with·the·distances·from\xd
153 ··················root,·and·returns·the·number·of·levels·created.·The·mark[]·vector·is·used·to·mark·nodes·with·the·tag\xd153 ··················root,·and·returns·the·number·of·levels·created.·The·mark[]·vector·is·used·to·mark·nodes·with·the·tag\xd
154 ··················value·as·they·are·placed·in·the·level·structure.·The·list[]·vector·is·used·to·accumulate·the·nodes·as\xd154 ··················value·as·they·are·placed·in·the·level·structure.·The·list[]·vector·is·used·to·accumulate·the·nodes·as\xd
155 ··················they·are·placed·in·the·level·structure.\xd155 ··················they·are·placed·in·the·level·structure.\xd
156 ··················Error·checking:·If·bpg,·list,·dist·or·mark·is·NULL,·or·if·root·is·not·in·[0,·nX+nY),·an·error·message\xd156 ··················Error·checking:·If·bpg,·list,·dist·or·mark·is·NULL,·or·if·root·is·not·in·[0,·nX+nY),·an·error·message\xd
157 ··················is·printed·and·the·program·exits.\xd157 ··················is·printed·and·the·program·exits.\xd
158 ····················································BPG·:·DRAFT·····January·7,·2024································5\xd158 ····················································BPG·:·DRAFT····February·8,·2025································5\xd
159 ················1.2.5····Dulmage-Mendelsohn·decomposition·method\xd159 ················1.2.5····Dulmage-Mendelsohn·decomposition·method\xd
160 ················There·is·one·method·to·find·the·Dulmage-Mendelsohn·decomposition·that·uses·matching·when·the·graph\xd160 ················There·is·one·method·to·find·the·Dulmage-Mendelsohn·decomposition·that·uses·matching·when·the·graph\xd
161 ················is·unit·weight·and·a·generalized·matching·technique·otherwise.·There·is·a·second·method·to·find·the\xd161 ················is·unit·weight·and·a·generalized·matching·technique·otherwise.·There·is·a·second·method·to·find·the\xd
162 ················decomposition·using·a·Ford-Fulkerson·algorithm·to·find·a·max·flow·and·a·min-cut·on·a·bipartite·network.\xd162 ················decomposition·using·a·Ford-Fulkerson·algorithm·to·find·a·max·flow·and·a·min-cut·on·a·bipartite·network.\xd
163 ················This·has·largely·been·superceded·by·the·Network·object.\xd163 ················This·has·largely·been·superceded·by·the·Network·object.\xd
164 ··················1.·void·BPG_DMdecomposition·(·BPG·*bpg,·int·dmflags[],·int·stats[],\xd164 ··················1.·void·BPG_DMdecomposition·(·BPG·*bpg,·int·dmflags[],·int·stats[],\xd
165 ···················································int·msglvl,·FILE·*msgFile·)\xd165 ···················································int·msglvl,·FILE·*msgFile·)\xd
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204 ·····················the·value·returned·from·the·called·routine.\xd204 ·····················the·value·returned·from·the·called·routine.\xd
205 ·····················Error·checking:·If·bpg·or·fn·is·NULL,·or·if·fn·is·not·of·the·form·*.bpgf·(for·a·formatted·file)·or·*.bpgb\xd205 ·····················Error·checking:·If·bpg·or·fn·is·NULL,·or·if·fn·is·not·of·the·form·*.bpgf·(for·a·formatted·file)·or·*.bpgb\xd
206 ·····················(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd206 ·····················(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd
207 ··················2.·int·BPG_readFromFormattedFile·(·BPG·*bpg,·FILE·*fp·)·;\xd207 ··················2.·int·BPG_readFromFormattedFile·(·BPG·*bpg,·FILE·*fp·)·;\xd
208 ·····················This·method·reads·a·BPG·object·from·a·formatted·file.·If·there·are·no·errors·in·reading·the·data,·the\xd208 ·····················This·method·reads·a·BPG·object·from·a·formatted·file.·If·there·are·no·errors·in·reading·the·data,·the\xd
209 ·····················value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd209 ·····················value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd
210 ·····················Error·checking:·If·bpg·or·fp·is·NULL·an·error·message·is·printed·and·zero·is·returned.\xd210 ·····················Error·checking:·If·bpg·or·fp·is·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
211 ···········6·························BPG·:·DRAFT·January·7,·2024\xd211 ···········6························BPG·:·DRAFT·February·8,·2025\xd
212 ·············3.·int·BPG_readFromBinaryFile·(·BPG·*bpg,·FILE·*fp·)·;\xd212 ·············3.·int·BPG_readFromBinaryFile·(·BPG·*bpg,·FILE·*fp·)·;\xd
213 ···············This·method·reads·a·BPG·object·from·a·binary·file.·If·there·are·no·errors·in·reading·the·data,·the·value\xd213 ···············This·method·reads·a·BPG·object·from·a·binary·file.·If·there·are·no·errors·in·reading·the·data,·the·value\xd
214 ···············1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd214 ···············1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd
215 ···············Error·checking:·If·bpg·or·fp·is·NULL·an·error·message·is·printed·and·zero·is·returned.\xd215 ···············Error·checking:·If·bpg·or·fp·is·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
216 ·············4.·int·BPG_writeToFile·(·BPG·*bpg,·char·*fn·)·;\xd216 ·············4.·int·BPG_writeToFile·(·BPG·*bpg,·char·*fn·)·;\xd
217 ···············ThismethodwritesaBPGobjecttoafile.·Themethodtriestoopenthefileandifitissuccessful,it·then\xd217 ···············ThismethodwritesaBPGobjecttoafile.·Themethodtriestoopenthefileandifitissuccessful,it·then\xd
218 ···············calls·BPG·writeFromFormattedFile()or·BPG·writeFromBinaryFile(),closes·the·file·and·returns·the\xd218 ···············calls·BPG·writeFromFormattedFile()or·BPG·writeFromBinaryFile(),closes·the·file·and·returns·the\xd
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243 ···············BPG·writeStats()·method).\xd243 ···············BPG·writeStats()·method).\xd
244 ·················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means·the·BPG\xd244 ·················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means·the·BPG\xd
245 ··················object·is·written·to·the·message·file.\xd245 ··················object·is·written·to·the·message·file.\xd
246 ·················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd246 ·················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd
247 ··················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd247 ··················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd
248 ·················The·inFile·parameter·is·the·input·file·for·the·BPG·object.·It·must·be·of·the·form·*.bpgf·or\xd248 ·················The·inFile·parameter·is·the·input·file·for·the·BPG·object.·It·must·be·of·the·form·*.bpgf·or\xd
249 ··················*.bpgb.·The·BPG·object·is·read·from·the·file·via·the·BPG·readFromFile()·method.\xd249 ··················*.bpgb.·The·BPG·object·is·read·from·the·file·via·the·BPG·readFromFile()·method.\xd
250 ············································BPG·:·DRAFT···January·7,·2024·························7\xd250 ············································BPG·:·DRAFT··February·8,·2025·························7\xd
251 ·····················The·outFile·parameter·is·the·output·file·for·the·BPG·object.·If·outFile·is·none·then·the·BPG\xd251 ·····················The·outFile·parameter·is·the·output·file·for·the·BPG·object.·If·outFile·is·none·then·the·BPG\xd
252 ······················object·is·not·written·to·a·file.·Otherwise,·the·BPG·writeToFile()·method·is·called·to·write·the\xd252 ······················object·is·not·written·to·a·file.·Otherwise,·the·BPG·writeToFile()·method·is·called·to·write·the\xd
253 ······················graph·to·a·formatted·file·(if·outFile·is·of·the·form·*.bpgf),·or·a·binary·file·(if·outFile·is·of·the\xd253 ······················graph·to·a·formatted·file·(if·outFile·is·of·the·form·*.bpgf),·or·a·binary·file·(if·outFile·is·of·the\xd
254 ······················form·*.bpgb).\xd254 ······················form·*.bpgb).\xd
255 ················2.·extractBPG·msglvl·msgFile·inGraphFile·inCompidsIVfile\xd255 ················2.·extractBPG·msglvl·msgFile·inGraphFile·inCompidsIVfile\xd
256 ···································icomp·outMapFile·outBPGfile\xd256 ···································icomp·outMapFile·outBPGfile\xd
257 ··················This·driver·program·reads·in·a·Graph·object·and·an·IV·object·that·contains·the·component·ids.·(A\xd257 ··················This·driver·program·reads·in·a·Graph·object·and·an·IV·object·that·contains·the·component·ids.·(A\xd
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23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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2525 dup·55·/seven·put2524 dup·53·/five·put
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2526 dup·58·/colon·put2526 dup·58·/colon·put
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2530 dup·114·/r·put2531 dup·114·/r·put
2531 dup·117·/u·put2532 dup·117·/u·put
2532 dup·121·/y·put2533 dup·121·/y·put
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Offset 23, 15 lines modifiedOffset 23, 15 lines modified
23 ·························unnecessary,·that·we·put·on·the·Chv·object··the·number·of·rows·in·the·(2,1)·block·and·number·of\xd23 ·························unnecessary,·that·we·put·on·the·Chv·object··the·number·of·rows·in·the·(2,1)·block·and·number·of\xd
24 ·························columns·in·the·(1,2)·block·are·equal.·The·Chv·object·is·used·within·the·context·of·a·factorization·of\xd24 ·························columns·in·the·(1,2)·block·are·equal.·The·Chv·object·is·used·within·the·context·of·a·factorization·of\xd
25 ·························a·sparse·matrix·that·is·assumed·to·have·symmetric·structure.·If·we·ever·extend·the·code·to·handle\xd25 ·························a·sparse·matrix·that·is·assumed·to·have·symmetric·structure.·If·we·ever·extend·the·code·to·handle\xd
26 ·························a·true·nonsymmetric·structure·factorization·(e.g.,·umfpack·and·superlu),·then·we·can·modify\xd26 ·························a·true·nonsymmetric·structure·factorization·(e.g.,·umfpack·and·superlu),·then·we·can·modify\xd
27 ·························the·Chv·object·to·handle·unequal·rows·and·columns.\xd27 ·························the·Chv·object·to·handle·unequal·rows·and·columns.\xd
28 ·······························During·a·factorization,·a·front·has·to·take·part·in·four·distinct·operations.\xd28 ·······························During·a·factorization,·a·front·has·to·take·part·in·four·distinct·operations.\xd
29 ·······································································································1\xd29 ·······································································································1\xd
30 ····························2·································································Chv·:·DRAFT·January·7,·2024\xd30 ····························2································································Chv·:·DRAFT·February·8,·2025\xd
31 ··································1.·Assemble·entries·from·the·original·matrix·(or·matrix·pencil).·(See·the·Chv·addChevron()\xd31 ··································1.·Assemble·entries·from·the·original·matrix·(or·matrix·pencil).·(See·the·Chv·addChevron()\xd
32 ·······································method.)\xd32 ·······································method.)\xd
33 ··································2.·Accumulate·updates·from·descendant·fronts.·(See·the·Chv·update{S,H,N}()·methods.)\xd33 ··································2.·Accumulate·updates·from·descendant·fronts.·(See·the·Chv·update{S,H,N}()·methods.)\xd
34 ··································3.·Assembleanypostponeddatafromitschildrenfronts.·(SeetheChv·assemblePostponedData()\xd34 ··································3.·Assembleanypostponeddatafromitschildrenfronts.·(SeetheChv·assemblePostponedData()\xd
35 ·······································method.)\xd35 ·······································method.)\xd
36 ··································4.·Computethefactorization·ofthecompletely·assembledfront.·(SeetheChv·factor()method.)\xd36 ··································4.·Computethefactorization·ofthecompletely·assembledfront.·(SeetheChv·factor()method.)\xd
37 ···································The·implementor·of·a·front·object·has·a·great·deal·of·freedom·to·design·the·underlying·data\xd37 ···································The·implementor·of·a·front·object·has·a·great·deal·of·freedom·to·design·the·underlying·data\xd
Offset 65, 15 lines modifiedOffset 65, 15 lines modified
65 ····························defineitsrowsandcolumns.·ForasymmetricorHermitianmatrix,·weonlystorethecolumnindices.\xd65 ····························defineitsrowsandcolumns.·ForasymmetricorHermitianmatrix,·weonlystorethecolumnindices.\xd
66 ····························For·a·nonsymmetric·matrix,·we·store·the·both·the·row·and·column·indices.·This·second·case·may\xd66 ····························For·a·nonsymmetric·matrix,·we·store·the·both·the·row·and·column·indices.·This·second·case·may\xd
67 ····························seem·unnecessary,·since·we·assume·that·the·larger·global·matrix·has·symmetric·structure.·However,\xd67 ····························seem·unnecessary,·since·we·assume·that·the·larger·global·matrix·has·symmetric·structure.·However,\xd
68 ····························during·a·factorization·with·pivoting·enabled,·a·pivot·element·may·be·chosen·from·anywhere·in·the\xd68 ····························during·a·factorization·with·pivoting·enabled,·a·pivot·element·may·be·chosen·from·anywhere·in·the\xd
69 ····························(1,1)·block,·so·the·row·indices·and·column·indices·may·no·longer·be·identical.\xd69 ····························(1,1)·block,·so·the·row·indices·and·column·indices·may·no·longer·be·identical.\xd
70 ···································AChv·object·is·inherently·a·serial,·single·threaded·object,·meaning·it·is·designed·so·that·only\xd70 ···································AChv·object·is·inherently·a·serial,·single·threaded·object,·meaning·it·is·designed·so·that·only\xd
71 ····························one·thread·or·process·“owns”·or·operates·on·a·particular·Chv·object.·A·Chv·object·is·an·“atom”\xd71 ····························one·thread·or·process·“owns”·or·operates·on·a·particular·Chv·object.·A·Chv·object·is·an·“atom”\xd
72 ·······································Chv·:·DRAFT··January·7,·2024·····················3\xd72 ·······································Chv·:·DRAFT··February·8,·2025····················3\xd
73 ············of·communication.·It·stores·postponed·rows·and·columns·to·be·assembled·in·a·parent·front.·It\xd73 ············of·communication.·It·stores·postponed·rows·and·columns·to·be·assembled·in·a·parent·front.·It\xd
74 ············might·have·to·be·written·to·and·read·from·a·file·in·an·out-of-core·implementation.·In·a·distributed\xd74 ············might·have·to·be·written·to·and·read·from·a·file·in·an·out-of-core·implementation.·In·a·distributed\xd
75 ············environment,·it·is·communicated·between·processes.·For·these·reasons,·we·designed·the·object·so\xd75 ············environment,·it·is·communicated·between·processes.·For·these·reasons,·we·designed·the·object·so\xd
76 ············that·its·data·(the·scalars·that·describe·its·dimensions,·id·and·type,·the·row·and·column·indices,\xd76 ············that·its·data·(the·scalars·that·describe·its·dimensions,·id·and·type,·the·row·and·column·indices,\xd
77 ············and·its·entries)·are·found·in·contiguous·storage·managed·by·a·DV·object.·A·file·operation·can·be\xd77 ············and·its·entries)·are·found·in·contiguous·storage·managed·by·a·DV·object.·A·file·operation·can·be\xd
78 ············done·with·a·single·read·or·write,·a·message·can·be·sent·without·packing·and·unpacking·data,·or\xd78 ············done·with·a·single·read·or·write,·a·message·can·be·sent·without·packing·and·unpacking·data,·or\xd
79 ············defining·a·new·datatype.·Managing·working·storage·for·a·number·of·Chv·objects·is·now·simpler.\xd79 ············defining·a·new·datatype.·Managing·working·storage·for·a·number·of·Chv·objects·is·now·simpler.\xd
Offset 100, 15 lines modifiedOffset 100, 15 lines modified
100 ················int·symflag·:·symmetry·flag\xd100 ················int·symflag·:·symmetry·flag\xd
101 ····················SPOOLES·SYMMETRIC·=⇒·symmetric·entries\xd101 ····················SPOOLES·SYMMETRIC·=⇒·symmetric·entries\xd
102 ····················SPOOLES·HERMITIAN·=⇒·Hermitian·entries\xd102 ····················SPOOLES·HERMITIAN·=⇒·Hermitian·entries\xd
103 ····················SPOOLES·NONSYMMETRIC·=⇒·nonsymmetric·entries\xd103 ····················SPOOLES·NONSYMMETRIC·=⇒·nonsymmetric·entries\xd
104 ················int·*rowind·:·pointer·to·the·base·address·of·the·int·vector·that·contains·row·indices.\xd104 ················int·*rowind·:·pointer·to·the·base·address·of·the·int·vector·that·contains·row·indices.\xd
105 ················int·*colind·:·pointer·to·the·base·address·of·the·int·vector·that·contains·column·indices.\xd105 ················int·*colind·:·pointer·to·the·base·address·of·the·int·vector·that·contains·column·indices.\xd
106 ················double·*entries:·pointer·to·the·base·address·of·the·double·vector·that·contains·the·entries.\xd106 ················double·*entries:·pointer·to·the·base·address·of·the·double·vector·that·contains·the·entries.\xd
107 ··············4·····························Chv·:·DRAFT·January·7,·2024\xd107 ··············4·····························Chv·:·DRAFT·February·8,·2025\xd
108 ··················DV·wrkDV·:·object·that·manages·the·owned·working·storage.\xd108 ··················DV·wrkDV·:·object·that·manages·the·owned·working·storage.\xd
109 ··················Chv·*next·:·link·to·a·next·object·in·a·singly·linked·list.\xd109 ··················Chv·*next·:·link·to·a·next·object·in·a·singly·linked·list.\xd
110 ·················One·can·query·the·type·and·symmetry·of·the·object·using·these·simple·macros.\xd110 ·················One·can·query·the·type·and·symmetry·of·the·object·using·these·simple·macros.\xd
111 ··················CHV·IS·REAL(chv)·is·1·if·chv·has·real·entries·and·0·otherwise.\xd111 ··················CHV·IS·REAL(chv)·is·1·if·chv·has·real·entries·and·0·otherwise.\xd
112 ··················CHV·IS·COMPLEX(chv)·is·1·if·chv·has·complex·entries·and·0·otherwise.\xd112 ··················CHV·IS·COMPLEX(chv)·is·1·if·chv·has·complex·entries·and·0·otherwise.\xd
113 ··················CHV·IS·SYMMETRIC(chv)·is·1·if·chv·is·symmetric·and·0·otherwise.\xd113 ··················CHV·IS·SYMMETRIC(chv)·is·1·if·chv·is·symmetric·and·0·otherwise.\xd
114 ··················CHV·IS·HERMITIAN(chv)·is·1·if·chv·is·Hermitian·and·0·otherwise.\xd114 ··················CHV·IS·HERMITIAN(chv)·is·1·if·chv·is·Hermitian·and·0·otherwise.\xd
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131 ··················This·method·clears·the·object·and·free’s·any·owned·data·by·invoking·the·clearData()\xd131 ··················This·method·clears·the·object·and·free’s·any·owned·data·by·invoking·the·clearData()\xd
132 ··················methods·for·its·internal·DV·object.·There·is·a·concluding·call·to·Chv·setDefaultFields().\xd132 ··················methods·for·its·internal·DV·object.·There·is·a·concluding·call·to·Chv·setDefaultFields().\xd
133 ··················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd133 ··················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
134 ················4.·void·Chv_free·(·Chv·*chv·)·;\xd134 ················4.·void·Chv_free·(·Chv·*chv·)·;\xd
135 ··················This·method·releases·any·storage·by·a·call·to·Chv·clearData()·and·then·free·the·space·for\xd135 ··················This·method·releases·any·storage·by·a·call·to·Chv·clearData()·and·then·free·the·space·for\xd
136 ··················chv.\xd136 ··················chv.\xd
137 ··················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd137 ··················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
138 ···············································Chv·:·DRAFT·····January·7,·2024····························5\xd138 ···············································Chv·:·DRAFT·····February·8,·2025···························5\xd
139 ···············1.2.2···Instance·methods\xd139 ···············1.2.2···Instance·methods\xd
140 ·················1.·int·Chv_id·(·Chv·*chv·)·;\xd140 ·················1.·int·Chv_id·(·Chv·*chv·)·;\xd
141 ····················This·method·returns·the·id·of·the·object.\xd141 ····················This·method·returns·the·id·of·the·object.\xd
142 ····················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd142 ····················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
143 ·················2.·int·Chv_type·(·Chv·*chv·)·;\xd143 ·················2.·int·Chv_type·(·Chv·*chv·)·;\xd
144 ····················This·method·returns·the·type·of·the·object.\xd144 ····················This·method·returns·the·type·of·the·object.\xd
145 ························SPOOLES·REAL·=⇒·real·entries\xd145 ························SPOOLES·REAL·=⇒·real·entries\xd
Offset 167, 15 lines modifiedOffset 167, 15 lines modified
167 ····················Error·checking:·If·chv,·pncol·or·pcolind·is·NULL,·an·error·message·is·printed·and·zero·is\xd167 ····················Error·checking:·If·chv,·pncol·or·pcolind·is·NULL,·an·error·message·is·printed·and·zero·is\xd
168 ····················returned.\xd168 ····················returned.\xd
169 ·················7.·int···Chv_nent·(·Chv·*chv·)·;\xd169 ·················7.·int···Chv_nent·(·Chv·*chv·)·;\xd
170 ····················This·method·returns·number·of·matrix·entries·that·the·object·contains.·Note,·for·a·complex\xd170 ····················This·method·returns·number·of·matrix·entries·that·the·object·contains.·Note,·for·a·complex\xd
171 ····················chevron,·this·is·the·number·of·double·precision·complex·entries,·equal·to·one·half·the·number\xd171 ····················chevron,·this·is·the·number·of·double·precision·complex·entries,·equal·to·one·half·the·number\xd
172 ····················of·double·precision·entries·that·are·stored.\xd172 ····················of·double·precision·entries·that·are·stored.\xd
173 ····················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd173 ····················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
174 ··············6·······························Chv·:·DRAFT·January·7,·2024\xd174 ··············6·······························Chv·:·DRAFT·February·8,·2025\xd
175 ·················8.·double·*·Chv_entries·(·Chv·*chv·)·;\xd175 ·················8.·double·*·Chv_entries·(·Chv·*chv·)·;\xd
176 ···················This·method·returns·the·entries·field·of·the·object,·a·pointer·to·the·base·location·of·the\xd176 ···················This·method·returns·the·entries·field·of·the·object,·a·pointer·to·the·base·location·of·the\xd
177 ···················double·precision·array·that·stores·the·complex·data.\xd177 ···················double·precision·array·that·stores·the·complex·data.\xd
178 ···················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd178 ···················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
179 ·················9.·double·*·Chv_diagLocation·(·Chv·*chv,·int·ichv·)·;\xd179 ·················9.·double·*·Chv_diagLocation·(·Chv·*chv,·int·ichv·)·;\xd
180 ···················This·method·returns·a·pointer·to·the·address·of·the·entry·in·the·ichv’th·diagonal·location.\xd180 ···················This·method·returns·a·pointer·to·the·address·of·the·entry·in·the·ichv’th·diagonal·location.\xd
181 ···················For·a·real·chevron,·to·find·the·entry·k·places·to·the·right·of·the·diagonal·entry,·add·k·to·the\xd181 ···················For·a·real·chevron,·to·find·the·entry·k·places·to·the·right·of·the·diagonal·entry,·add·k·to·the\xd
Offset 205, 15 lines modifiedOffset 205, 15 lines modified
205 ················14.·void··Chv_complexEntry·(·Chv·*chv,·int·irow,·int·jcol,\xd205 ················14.·void··Chv_complexEntry·(·Chv·*chv,·int·irow,·int·jcol,\xd
206 ··············································double·*pReal,·double·*pImag·)·;\xd206 ··············································double·*pReal,·double·*pImag·)·;\xd
207 ···················This·method·fills·*pReal·with·the·real·part·and·*pImag·with·the·imaginary·part·of·the·the\xd207 ···················This·method·fills·*pReal·with·the·real·part·and·*pImag·with·the·imaginary·part·of·the·the\xd
208 ···················entry·in·row·irow·and·column·jcol.·Note,·irow·and·jcol·are·local·indices,·i.e.,·0··irow·<\xd208 ···················entry·in·row·irow·and·column·jcol.·Note,·irow·and·jcol·are·local·indices,·i.e.,·0··irow·<\xd
209 ···················nD+nLand0≤jcol<nD+nU.\xd209 ···················nD+nLand0≤jcol<nD+nU.\xd
210 ···················Error·checking:·If·chv,·pReal·or·pImag·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error\xd210 ···················Error·checking:·If·chv,·pReal·or·pImag·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error\xd
211 ···················message·is·printed·and·the·program·exits.\xd211 ···················message·is·printed·and·the·program·exits.\xd
212 ·············································Chv·:·DRAFT·····January·7,·2024··························7\xd212 ·············································Chv·:·DRAFT····February·8,·2025··························7\xd
213 ················15.·Chv_locationOfComplexEntry·(·Chv·*chv,·int·irow,·int·jcol,\xd213 ················15.·Chv_locationOfComplexEntry·(·Chv·*chv,·int·irow,·int·jcol,\xd
214 ···················································double·**ppReal,·double·**ppImag·)·;\xd214 ···················································double·**ppReal,·double·**ppImag·)·;\xd
215 ···················This·method·fills·*ppReal·with·a·pointer·to·the·real·part·and·*ppImag·with·a·pointer·to·the\xd215 ···················This·method·fills·*ppReal·with·a·pointer·to·the·real·part·and·*ppImag·with·a·pointer·to·the\xd
216 ···················imaginary·part·of·the·entry·in·row·irow·and·column·jcol.·Note,·irow·and·jcol·are·local\xd216 ···················imaginary·part·of·the·entry·in·row·irow·and·column·jcol.·Note,·irow·and·jcol·are·local\xd
217 ···················indices,·i.e.,·0··irow·<·nD+nL·and·0··jcol·<·nD+nU.\xd217 ···················indices,·i.e.,·0··irow·<·nD+nL·and·0··jcol·<·nD+nU.\xd
218 ···················Error·checking:·If·chv,·ppReal·or·ppImag·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error\xd218 ···················Error·checking:·If·chv,·ppReal·or·ppImag·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error\xd
219 ···················message·is·printed·and·the·program·exits.\xd219 ···················message·is·printed·and·the·program·exits.\xd
Offset 242, 15 lines modifiedOffset 242, 15 lines modified
242 ···················is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd242 ···················is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
243 ·················3.·void·Chv_initFromBuffer·(·Chv·*chv·)·;\xd243 ·················3.·void·Chv_initFromBuffer·(·Chv·*chv·)·;\xd
244 ···················This·initializer·method·is·used·to·set·the·scalar·and·pointer·fields·when·the·object’s·buffer·is\xd244 ···················This·initializer·method·is·used·to·set·the·scalar·and·pointer·fields·when·the·object’s·buffer·is\xd
245 ···················already·preloaded.·This·functionality·is·used·in·the·MPI·factorization·where·a·Chv·object·is\xd245 ···················already·preloaded.·This·functionality·is·used·in·the·MPI·factorization·where·a·Chv·object·is\xd
246 ···················sent·and·received,·more·precisely,·the·workspace·buffer·owned·by·the·Chv·object·is·sent·and\xd246 ···················sent·and·received,·more·precisely,·the·workspace·buffer·owned·by·the·Chv·object·is·sent·and\xd
247 ···················received.\xd247 ···················received.\xd
248 ···················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd248 ···················Error·checking:·If·chv·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
249 ···············8·································Chv·:·DRAFT·January·7,·2024\xd249 ···············8·································Chv·:·DRAFT·February·8,·2025\xd
250 ···············1.2.4···Search·methods\xd250 ···············1.2.4···Search·methods\xd
251 ··················1.·int·Chv_maxabsInDiagonal11·(·Chv·*chv,·int·mark[],·int·tag,·double·*pmaxval·)·;\xd251 ··················1.·int·Chv_maxabsInDiagonal11·(·Chv·*chv,·int·mark[],·int·tag,·double·*pmaxval·)·;\xd
252 ·····················This·method·returns·the·location·of·the·first·tagged·element·with·the·largest·magnitude·in\xd252 ·····················This·method·returns·the·location·of·the·first·tagged·element·with·the·largest·magnitude·in\xd
253 ·····················the·diagonal·of·the·(1,1)·block.·Element·jj·must·have·mark[jj]·=·tag·to·be·eligible.·Its\xd253 ·····················the·diagonal·of·the·(1,1)·block.·Element·jj·must·have·mark[jj]·=·tag·to·be·eligible.·Its\xd
254 ·····················magnitude·is·returned·in·*pmaxval.·Note,·if·the·chevron·is·complex,·the·location·is·in·terms\xd254 ·····················magnitude·is·returned·in·*pmaxval.·Note,·if·the·chevron·is·complex,·the·location·is·in·terms\xd
255 ·····················of·the·complex·entries,·not·in·the·real·entries,·i.e.,·if·k·=·Chv·maxabsDiagonal11(chv,...),\xd255 ·····················of·the·complex·entries,·not·in·the·real·entries,·i.e.,·if·k·=·Chv·maxabsDiagonal11(chv,...),\xd
256 ·····················then·the·complex·entry·is·found·in·chv->entries[2*kk:2*kk+1].\xd256 ·····················then·the·complex·entry·is·found·in·chv->entries[2*kk:2*kk+1].\xd
Offset 281, 15 lines modifiedOffset 281, 15 lines modified
281 ·····················in·*pmaxval.·Note,·if·the·chevron·is·complex,·the·location·is·in·terms·of·the·complex·entries,\xd281 ·····················in·*pmaxval.·Note,·if·the·chevron·is·complex,·the·location·is·in·terms·of·the·complex·entries,\xd
282 ·····················not·in·the·real·entries,·i.e.,·if·k·=·Chv·maxabsRow(chv,...),·then·the·complex·entry·is·found\xd282 ·····················not·in·the·real·entries,·i.e.,·if·k·=·Chv·maxabsRow(chv,...),·then·the·complex·entry·is·found\xd
283 ·····················in·chv->entries[2*kk:2*kk+1].\xd283 ·····················in·chv->entries[2*kk:2*kk+1].\xd
284 ·····················Error·checking:·If·chv·is·NULL·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and\xd284 ·····················Error·checking:·If·chv·is·NULL·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and\xd
285 ·····················the·program·exits.\xd285 ·····················the·program·exits.\xd
286 ··················5.·int·Chv_maxabsInColumn·(·Chv·*chv,·int·jcol,·int·rowmark[],\xd286 ··················5.·int·Chv_maxabsInColumn·(·Chv·*chv,·int·jcol,·int·rowmark[],\xd
287 ··················································int·tag,·double·*pmaxval·)·;\xd287 ··················································int·tag,·double·*pmaxval·)·;\xd
288 ················································Chv·:·DRAFT·····January·7,·2024·····························9\xd288 ···············································Chv·:·DRAFT······February·8,·2025····························9\xd
289 ····················This·method·returns·the·location·of·the·first·element·with·the·largest·magnitude·in·column\xd289 ····················This·method·returns·the·location·of·the·first·element·with·the·largest·magnitude·in·column\xd
290 ····················jcol.·Element·jj·must·have·rowmark[jj]·=·tag·to·be·eligible.·Its·magnitude·is·returned\xd290 ····················jcol.·Element·jj·must·have·rowmark[jj]·=·tag·to·be·eligible.·Its·magnitude·is·returned\xd
291 ····················in·*pmaxval.·Note,·if·the·chevron·is·complex,·the·location·is·in·terms·of·the·complex·entries,\xd291 ····················in·*pmaxval.·Note,·if·the·chevron·is·complex,·the·location·is·in·terms·of·the·complex·entries,\xd
292 ····················not·in·the·real·entries,·i.e.,·if·k·=·Chv·maxabsColumn11(chv,...),·then·the·complex·entry\xd292 ····················not·in·the·real·entries,·i.e.,·if·k·=·Chv·maxabsColumn11(chv,...),·then·the·complex·entry\xd
293 ····················is·found·in·chv->entries[2*kk:2*kk+1].\xd293 ····················is·found·in·chv->entries[2*kk:2*kk+1].\xd
294 ····················Error·checking:·If·chv·is·NULL·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and\xd294 ····················Error·checking:·If·chv·is·NULL·or·irow·is·not·in·[0,n1-1],·an·error·message·is·printed·and\xd
295 ····················the·program·exits.\xd295 ····················the·program·exits.\xd
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22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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1765 dup·44·/comma·put1765 dup·44·/comma·put
1766 dup·48·/zero·put1766 dup·48·/zero·put
1767 dup·50·/two·put1767 dup·50·/two·put
1768 dup·52·/four·put 
1769 dup·55·/seven·put1768 dup·53·/five·put
 1769 dup·56·/eight·put
1770 dup·58·/colon·put1770 dup·58·/colon·put
1771 dup·74·/J·put1771 dup·70·/F·put
1772 dup·97·/a·put1772 dup·97·/a·put
 1773 dup·98·/b·put
1773 dup·110·/n·put1774 dup·101·/e·put
1774 dup·114·/r·put1775 dup·114·/r·put
1775 dup·117·/u·put1776 dup·117·/u·put
1776 dup·121·/y·put1777 dup·121·/y·put
1777 readonly·def1778 readonly·def
1778 currentdict·end1779 currentdict·end
1779 currentfile·eexec1780 currentfile·eexec
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ps2ascii {}
    
Offset 22, 15 lines modifiedOffset 22, 15 lines modified
22 ·······The·first·two·operations·are·queries,·and·can·be·done·without·locking·the·list.·The·third·operation\xd22 ·······The·first·two·operations·are·queries,·and·can·be·done·without·locking·the·list.·The·third·operation\xd
23 ·······needs·a·lock·only·when·two·or·more·threads·will·be·inserting·objects·into·the·list.·The·fourth\xd23 ·······needs·a·lock·only·when·two·or·more·threads·will·be·inserting·objects·into·the·list.·The·fourth\xd
24 ·······operation·requires·a·lock·only·when·one·thread·will·add·an·object·while·another·thread·removes\xd24 ·······operation·requires·a·lock·only·when·one·thread·will·add·an·object·while·another·thread·removes\xd
25 ·······the·object·and·the·incoming·count·is·not·yet·zero.\xd25 ·······the·object·and·the·incoming·count·is·not·yet·zero.\xd
26 ·········Having·a·lock·associated·with·a·ChvList·object·is·optional,·for·example,·it·is·not·needed·during\xd26 ·········Having·a·lock·associated·with·a·ChvList·object·is·optional,·for·example,·it·is·not·needed·during\xd
27 ·······a·serial·factorization·nor·a·MPI·factorization.·In·the·latter·case·there·is·one·ChvList·per·process.\xd27 ·······a·serial·factorization·nor·a·MPI·factorization.·In·the·latter·case·there·is·one·ChvList·per·process.\xd
28 ·····························1\xd28 ·····························1\xd
29 ··············2···························ChvList·:·DRAFT·January·7,·2024\xd29 ··············2···························ChvList·:·DRAFT·February·8,·2025\xd
30 ··············For·a·multithreaded·factorization·there·is·one·ChvList·object·that·is·shared·by·all·threads.·The\xd30 ··············For·a·multithreaded·factorization·there·is·one·ChvList·object·that·is·shared·by·all·threads.·The\xd
31 ··············mutualexclusion·lock·that·is·(optionally)·embedded·in·the·ChvListobject·is·a·Lock·object·from·this\xd31 ··············mutualexclusion·lock·that·is·(optionally)·embedded·in·the·ChvListobject·is·a·Lock·object·from·this\xd
32 ··············library.·It·is·inside·the·Lock·object·that·we·have·a·mutual·exclusion·lock.·Presently·we·support·the\xd32 ··············library.·It·is·inside·the·Lock·object·that·we·have·a·mutual·exclusion·lock.·Presently·we·support·the\xd
33 ··············Solaris·and·POSIX·thread·packages.·Porting·the·multithreaded·codes·to·another·platform·should\xd33 ··············Solaris·and·POSIX·thread·packages.·Porting·the·multithreaded·codes·to·another·platform·should\xd
34 ··············be·simple·if·the·POSIX·thread·package·is·present.·Another·type·of·thread·package·will·require\xd34 ··············be·simple·if·the·POSIX·thread·package·is·present.·Another·type·of·thread·package·will·require\xd
35 ··············some·modifications·to·the·Lock·object,·but·none·to·the·ChvList·objects.\xd35 ··············some·modifications·to·the·Lock·object,·but·none·to·the·ChvList·objects.\xd
36 ··············1.1···Data·Structure\xd36 ··············1.1···Data·Structure\xd
Offset 52, 15 lines modifiedOffset 52, 15 lines modified
52 ················1.·ChvList·*·ChvList_new·(·void·)·;\xd52 ················1.·ChvList·*·ChvList_new·(·void·)·;\xd
53 ··················This·method·simply·allocates·storage·for·the·ChvList·structure·and·then·sets·the·default\xd53 ··················This·method·simply·allocates·storage·for·the·ChvList·structure·and·then·sets·the·default\xd
54 ··················fields·by·a·call·to·ChvList·setDefaultFields().\xd54 ··················fields·by·a·call·to·ChvList·setDefaultFields().\xd
55 ················2.·void·ChvList_setDefaultFields·(·ChvList·*list·)·;\xd55 ················2.·void·ChvList_setDefaultFields·(·ChvList·*list·)·;\xd
56 ··················The·structure’s·fields·are·set·to·default·values:·nlist·and·nlocks·set·to·zero,·and·heads,\xd56 ··················The·structure’s·fields·are·set·to·default·values:·nlist·and·nlocks·set·to·zero,·and·heads,\xd
57 ··················counts,·lock·and·flags·are·set·to·NULL·.\xd57 ··················counts,·lock·and·flags·are·set·to·NULL·.\xd
58 ··················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd58 ··················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
59 ······································ChvList·:·DRAFT··January·7,·2024····················3\xd59 ·····································ChvList·:·DRAFT···February·8,·2025···················3\xd
60 ···············3.·void·ChvList_clearData·(·ChvList·*list·)·;\xd60 ···············3.·void·ChvList_clearData·(·ChvList·*list·)·;\xd
61 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·Chv·free()·for·each\xd61 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·Chv·free()·for·each\xd
62 ·················object·on·the·free·list.·If·heads·is·not·NULL,·it·is·free’d.·If·counts·is·not·NULL,·it·is·free’d\xd62 ·················object·on·the·free·list.·If·heads·is·not·NULL,·it·is·free’d.·If·counts·is·not·NULL,·it·is·free’d\xd
63 ·················via·a·call·to·IVfree().·If·flags·is·not·NULL,·it·is·free’d·via·a·call·to·CVfree().·If·the\xd63 ·················via·a·call·to·IVfree().·If·flags·is·not·NULL,·it·is·free’d·via·a·call·to·CVfree().·If·the\xd
64 ·················lock·is·not·NULL,·it·is·destroyed·via·a·call·to·Lock·free().·There·is·a·concluding·call·to\xd64 ·················lock·is·not·NULL,·it·is·destroyed·via·a·call·to·Lock·free().·There·is·a·concluding·call·to\xd
65 ·················ChvList·setDefaultFields().\xd65 ·················ChvList·setDefaultFields().\xd
66 ·················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd66 ·················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
Offset 87, 15 lines modifiedOffset 87, 15 lines modified
87 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd87 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd
88 ·················is·printed·and·zero·is·returned.\xd88 ·················is·printed·and·zero·is·returned.\xd
89 ···············2.·int·ChvList_isCountZero·(·ChvList·*list,·int·ilist·)·;\xd89 ···············2.·int·ChvList_isCountZero·(·ChvList·*list,·int·ilist·)·;\xd
90 ·················If·counts·is·NULL,·or·if·counts[ilist]·equal·to·zero,·the·method·returns·1.·Otherwise,·the\xd90 ·················If·counts·is·NULL,·or·if·counts[ilist]·equal·to·zero,·the·method·returns·1.·Otherwise,·the\xd
91 ·················method·returns·0.\xd91 ·················method·returns·0.\xd
92 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd92 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd
93 ·················is·printed·and·zero·is·returned.\xd93 ·················is·printed·and·zero·is·returned.\xd
94 ··············4···························ChvList·:·DRAFT·January·7,·2024\xd94 ··············4···························ChvList·:·DRAFT·February·8,·2025\xd
95 ················3.·Chv·*·ChvList_getList·(·ChvList·*list,·int·ilist·)·;\xd95 ················3.·Chv·*·ChvList_getList·(·ChvList·*list,·int·ilist·)·;\xd
96 ··················If·list·ilist·is·empty,·the·method·returns·NULL.·Otherwise,·if·the·list·needs·to·be·locked,·the\xd96 ··················If·list·ilist·is·empty,·the·method·returns·NULL.·Otherwise,·if·the·list·needs·to·be·locked,·the\xd
97 ··················lock·is·locked.·The·head·of·the·list·is·saved·to·a·pointer·and·then·the·head·is·set·to·NULL.\xd97 ··················lock·is·locked.·The·head·of·the·list·is·saved·to·a·pointer·and·then·the·head·is·set·to·NULL.\xd
98 ··················If·the·list·was·locked,·the·number·of·locks·is·incremented·and·the·lock·unlocked.·The·saved\xd98 ··················If·the·list·was·locked,·the·number·of·locks·is·incremented·and·the·lock·unlocked.·The·saved\xd
99 ··················pointer·is·returned.\xd99 ··················pointer·is·returned.\xd
100 ··················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd100 ··················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd
101 ··················is·printed·and·zero·is·returned.\xd101 ··················is·printed·and·zero·is·returned.\xd
21.2 KB
./usr/share/doc/spooles-doc/ChvManager.ps.gz
21.2 KB
ChvManager.ps
    
Offset 10, 15 lines modifiedOffset 10, 15 lines modified
10 %%EndComments10 %%EndComments
11 %%BeginDefaults11 %%BeginDefaults
12 %%ViewingOrientation:·1·0·0·112 %%ViewingOrientation:·1·0·0·1
13 %%EndDefaults13 %%EndDefaults
14 %DVIPSWebPage:·(www.radicaleye.com)14 %DVIPSWebPage:·(www.radicaleye.com)
15 %DVIPSCommandLine:·dvips·main·-o·ChvManager.ps15 %DVIPSCommandLine:·dvips·main·-o·ChvManager.ps
16 %DVIPSParameters:·dpi=60016 %DVIPSParameters:·dpi=600
17 %DVIPSSource:··TeX·output·2024.01.07:164417 %DVIPSSource:··TeX·output·2025.02.08:2316
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22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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Offset 1158, 20 lines modifiedOffset 1158, 21 lines modified
1158 /UnderlineThickness·50·def1158 /UnderlineThickness·50·def
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1163 dup·48·/zero·put1163 dup·48·/zero·put
1164 dup·50·/two·put1164 dup·50·/two·put
1165 dup·52·/four·put 
1166 dup·55·/seven·put1165 dup·53·/five·put
 1166 dup·56·/eight·put
1167 dup·58·/colon·put1167 dup·58·/colon·put
1168 dup·74·/J·put1168 dup·70·/F·put
1169 dup·97·/a·put1169 dup·97·/a·put
 1170 dup·98·/b·put
1170 dup·110·/n·put1171 dup·101·/e·put
1171 dup·114·/r·put1172 dup·114·/r·put
1172 dup·117·/u·put1173 dup·117·/u·put
1173 dup·121·/y·put1174 dup·121·/y·put
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Offset 23, 15 lines modifiedOffset 23, 15 lines modified
23 ····················finds·a·smallest·object·of·that·size·or·larger.)·If·there·is·no·object·on·the·free·pool·of·sufficient\xd23 ····················finds·a·smallest·object·of·that·size·or·larger.)·If·there·is·no·object·on·the·free·pool·of·sufficient\xd
24 ····················size,·one·is·created·and·returned.·When·the·user·releases·an·object·to·the·manager,·the·object\xd24 ····················size,·one·is·created·and·returned.·When·the·user·releases·an·object·to·the·manager,·the·object\xd
25 ····················is·placed·on·the·free·pool.\xd25 ····················is·placed·on·the·free·pool.\xd
26 ···············For·the·factorization,·serial,·multithreaded·or·MPI,·we·recommend·using·the·recycling·mode.\xd26 ···············For·the·factorization,·serial,·multithreaded·or·MPI,·we·recommend·using·the·recycling·mode.\xd
27 ··················A·multithreaded·environment·creates·some·difficulties.·Should·there·be·one·manager·object\xd27 ··················A·multithreaded·environment·creates·some·difficulties.·Should·there·be·one·manager·object\xd
28 ···············per·thread,·or·should·all·the·threads·share·one·object?·We·have·chosen·the·latter·course,·but·this\xd28 ···············per·thread,·or·should·all·the·threads·share·one·object?·We·have·chosen·the·latter·course,·but·this\xd
29 ····························································1\xd29 ····························································1\xd
30 ··············2···························DChvList·:·DRAFT·January·7,·2024\xd30 ··············2··························DChvList·:·DRAFT·February·8,·2025\xd
31 ··············requires·that·a·lock·be·present·to·guard·the·critical·section·of·code·where·one·searches·or·adds·an\xd31 ··············requires·that·a·lock·be·present·to·guard·the·critical·section·of·code·where·one·searches·or·adds·an\xd
32 ··············object·to·the·list.·The·lock·we·use·is·a·Lock·object,·and·so·the·ChvManager·code·is·completely\xd32 ··············object·to·the·list.·The·lock·we·use·is·a·Lock·object,·and·so·the·ChvManager·code·is·completely\xd
33 ··············independent·of·the·thread·package.·Porting·to·a·new·system·might·require·some·modification·to\xd33 ··············independent·of·the·thread·package.·Porting·to·a·new·system·might·require·some·modification·to\xd
34 ··············the·Lock,·but·none·to·the·manager·object.\xd34 ··············the·Lock,·but·none·to·the·manager·object.\xd
35 ·················Each·manager·object·keeps·track·of·certain·statistics,·bytes·in·their·workspaces,·the·total\xd35 ·················Each·manager·object·keeps·track·of·certain·statistics,·bytes·in·their·workspaces,·the·total\xd
36 ··············number·of·bytes·requested,·the·number·of·requests·for·a·Chv·objects,·the·number·of·releases,·and\xd36 ··············number·of·bytes·requested,·the·number·of·requests·for·a·Chv·objects,·the·number·of·releases,·and\xd
37 ··············the·number·of·locks·and·unlocks.\xd37 ··············the·number·of·locks·and·unlocks.\xd
Offset 54, 15 lines modifiedOffset 54, 15 lines modified
54 ··············ChvManager·object.\xd54 ··············ChvManager·object.\xd
55 ··············1.2.1··Basic·methods\xd55 ··············1.2.1··Basic·methods\xd
56 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd56 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
57 ··············any·allocated·data,·and·free’ing·the·object.\xd57 ··············any·allocated·data,·and·free’ing·the·object.\xd
58 ················1.·ChvManager·*·ChvManager_new·(·void·)·;\xd58 ················1.·ChvManager·*·ChvManager_new·(·void·)·;\xd
59 ··················This·method·simply·allocates·storage·for·the·ChvManager·structure·and·then·sets·the·default\xd59 ··················This·method·simply·allocates·storage·for·the·ChvManager·structure·and·then·sets·the·default\xd
60 ··················fields·by·a·call·to·ChvManager·setDefaultFields().\xd60 ··················fields·by·a·call·to·ChvManager·setDefaultFields().\xd
61 ·····································DChvList·:·DRAFT···January·7,·2024···················3\xd61 ·····································DChvList·:·DRAFT··February·8,·2025···················3\xd
62 ···············2.·void·ChvManager_setDefaultFields·(·ChvManager·*manager·)·;\xd62 ···············2.·void·ChvManager_setDefaultFields·(·ChvManager·*manager·)·;\xd
63 ·················Thestructure’sfieldsaresettodefaultvalues:·mode,nactive,nbytesactive,nbytesrequested,\xd63 ·················Thestructure’sfieldsaresettodefaultvalues:·mode,nactive,nbytesactive,nbytesrequested,\xd
64 ·················nbytesalloc,·nrequests,·nreleases,·nlocks·and·nunlocks·set·to·zero,·and·head·and·lock\xd64 ·················nbytesalloc,·nrequests,·nreleases,·nlocks·and·nunlocks·set·to·zero,·and·head·and·lock\xd
65 ·················are·set·to·NULL·.\xd65 ·················are·set·to·NULL·.\xd
66 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd66 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
67 ···············3.·void·ChvManager_clearData·(·ChvManager·*manager·)·;\xd67 ···············3.·void·ChvManager_clearData·(·ChvManager·*manager·)·;\xd
68 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·Chv·free()·for·each\xd68 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·Chv·free()·for·each\xd
Offset 89, 15 lines modifiedOffset 89, 15 lines modified
89 ···············2.·void·ChvManager_releaseObject·(·ChvManager·*manager,·Chv·*chv·)·;\xd89 ···············2.·void·ChvManager_releaseObject·(·ChvManager·*manager,·Chv·*chv·)·;\xd
90 ·················This·method·releases·the·chv·instance·into·the·free·pool·of·objects.\xd90 ·················This·method·releases·the·chv·instance·into·the·free·pool·of·objects.\xd
91 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd91 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
92 ···············3.·void·ChvManager_releaseListOfObjects·(·ChvManager·*manager,·Chv·*chv·)·;\xd92 ···············3.·void·ChvManager_releaseListOfObjects·(·ChvManager·*manager,·Chv·*chv·)·;\xd
93 ·················This·method·releases·a·list·of·Chv·objects·into·the·free·pool·of·objects.·The·head·of·the·list\xd93 ·················This·method·releases·a·list·of·Chv·objects·into·the·free·pool·of·objects.·The·head·of·the·list\xd
94 ·················is·the·chv·instance.\xd94 ·················is·the·chv·instance.\xd
95 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd95 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
96 ··············4···························DChvList·:·DRAFT·January·7,·2024\xd96 ··············4··························DChvList·:·DRAFT·February·8,·2025\xd
97 ··············1.2.4··IO·methods\xd97 ··············1.2.4··IO·methods\xd
98 ················1.·void·ChvManager_writeForHumanEye·(·ChvManager·*manager,·FILE·*fp·)·;\xd98 ················1.·void·ChvManager_writeForHumanEye·(·ChvManager·*manager,·FILE·*fp·)·;\xd
99 ··················This·method·writes·the·statistics·to·a·file·in·user·readable·form.\xd99 ··················This·method·writes·the·statistics·to·a·file·in·user·readable·form.\xd
100 ··················Error·checking:·If·manager·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd100 ··················Error·checking:·If·manager·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
101 ·······Index\xd101 ·······Index\xd
102 ·······ChvManager·clearData(),·3\xd102 ·······ChvManager·clearData(),·3\xd
103 ·······ChvManager·free(),·3\xd103 ·······ChvManager·free(),·3\xd
29.9 KB
./usr/share/doc/spooles-doc/Coords.ps.gz
29.9 KB
Coords.ps
    
Offset 11, 15 lines modifiedOffset 11, 15 lines modified
11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
13 %%ViewingOrientation:·1·0·0·113 %%ViewingOrientation:·1·0·0·1
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15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·Coords.ps16 %DVIPSCommandLine:·dvips·main·-o·Coords.ps
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22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1237, 20 lines modifiedOffset 1237, 21 lines modified
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1244 dup·52·/four·put 
1245 dup·55·/seven·put1244 dup·53·/five·put
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1250 dup·114·/r·put1251 dup·114·/r·put
1251 dup·117·/u·put1252 dup·117·/u·put
1252 dup·121·/y·put1253 dup·121·/y·put
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Offset 18, 15 lines modifiedOffset 18, 15 lines modified
18 ··················1.2·····Prototypes·and·descriptions·of·Coords·methods\xd18 ··················1.2·····Prototypes·and·descriptions·of·Coords·methods\xd
19 ··················This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd19 ··················This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
20 ··················Coords·object.\xd20 ··················Coords·object.\xd
21 ··················1.2.1····Basic·methods\xd21 ··················1.2.1····Basic·methods\xd
22 ··················As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd22 ··················As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
23 ··················any·allocated·data,·and·free’ing·the·object.\xd23 ··················any·allocated·data,·and·free’ing·the·object.\xd
24 ·········································································1\xd24 ·········································································1\xd
25 ··············2····························Coords·:·DRAFT·January·7,·2024\xd25 ··············2···························Coords·:·DRAFT·February·8,·2025\xd
26 ················1.·Coords·*·Coords_new·(·void·)·;\xd26 ················1.·Coords·*·Coords_new·(·void·)·;\xd
27 ···················This·method·simply·allocates·storage·for·the·Coords·structure·and·then·sets·the·default·fields\xd27 ···················This·method·simply·allocates·storage·for·the·Coords·structure·and·then·sets·the·default·fields\xd
28 ···················by·a·call·to·Coords·setDefaultFields().\xd28 ···················by·a·call·to·Coords·setDefaultFields().\xd
29 ················2.·void·Coords_setDefaultFields·(·Coords·*coords·)·;\xd29 ················2.·void·Coords_setDefaultFields·(·Coords·*coords·)·;\xd
30 ···················This·method·sets·the·structure’s·fields·are·set·to·default·values:·type·=·COORDS·BY·TUPLE,\xd30 ···················This·method·sets·the·structure’s·fields·are·set·to·default·values:·type·=·COORDS·BY·TUPLE,\xd
31 ···················ndim·=·ncoor·=·0·and·coors·=·NULL.\xd31 ···················ndim·=·ncoor·=·0·and·coors·=·NULL.\xd
32 ···················Error·checking:·If·coords·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd32 ···················Error·checking:·If·coords·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
Offset 54, 15 lines modifiedOffset 54, 15 lines modified
54 ···················point,·bbox[2]·=·x-coordinate·of·the·northeast·point,·and·bbox[3]·=·y-coordinate·of·the\xd54 ···················point,·bbox[2]·=·x-coordinate·of·the·northeast·point,·and·bbox[3]·=·y-coordinate·of·the\xd
55 ···················northeast·point.\xd55 ···················northeast·point.\xd
56 ···················Error·checking:·If·coordsbboxisNULL,oriftypeisnotCOORDS·BY·TUPLEorCOORDS·BY·COORD,\xd56 ···················Error·checking:·If·coordsbboxisNULL,oriftypeisnotCOORDS·BY·TUPLEorCOORDS·BY·COORD,\xd
57 ···················or·if·any·of·n1,·n2·or·ncomp·are·nonpositive,·an·error·message·is·printed·and·the·program\xd57 ···················or·if·any·of·n1,·n2·or·ncomp·are·nonpositive,·an·error·message·is·printed·and·the·program\xd
58 ···················exits.\xd58 ···················exits.\xd
59 ················3.·void·Coords_init27P·(·Coords·*coords,·float·bbox[],·int·type,\xd59 ················3.·void·Coords_init27P·(·Coords·*coords,·float·bbox[],·int·type,\xd
60 ·········································int·n1,·int·n2,·int·n3,·int·ncomp·)·;\xd60 ·········································int·n1,·int·n2,·int·n3,·int·ncomp·)·;\xd
61 ············································Coords·:·DRAFT····January·7,·2024·························3\xd61 ···········································Coords·:·DRAFT·····February·8,·2025························3\xd
62 ···················This·method·initializes·a·Coords·object·for·a·27-point·operator·on·a·n1·×n2·×n3·grid·with\xd62 ···················This·method·initializes·a·Coords·object·for·a·27-point·operator·on·a·n1·×n2·×n3·grid·with\xd
63 ···················ncomp·degrees·of·freedom·at·a·grid·point.·The·grid’s·location·is·given·by·the·bounding\xd63 ···················ncomp·degrees·of·freedom·at·a·grid·point.·The·grid’s·location·is·given·by·the·bounding\xd
64 ···················box·vector,·bbox[0]·=·x-coordinate·of·the·southwest·point,·bbox[1]·=·y-coordinate·of·the\xd64 ···················box·vector,·bbox[0]·=·x-coordinate·of·the·southwest·point,·bbox[1]·=·y-coordinate·of·the\xd
65 ···················southwest·point,·bbox[2]·=·z-coordinate·of·the·southwest·point,·bbox[3]·=·x-coordinate\xd65 ···················southwest·point,·bbox[2]·=·z-coordinate·of·the·southwest·point,·bbox[3]·=·x-coordinate\xd
66 ···················of·the·northeast·point,·bbox[4]·=·y-coordinate·of·the·northeast·point,·and·bbox[5]·=·z-\xd66 ···················of·the·northeast·point,·bbox[4]·=·y-coordinate·of·the·northeast·point,·and·bbox[5]·=·z-\xd
67 ···················coordinate·of·the·northeast·point.\xd67 ···················coordinate·of·the·northeast·point.\xd
68 ···················Error·checking:·If·coordsbboxisNULL,oriftypeisnotCOORDS·BY·TUPLEorCOORDS·BY·COORD,\xd68 ···················Error·checking:·If·coordsbboxisNULL,oriftypeisnotCOORDS·BY·TUPLEorCOORDS·BY·COORD,\xd
Offset 94, 15 lines modifiedOffset 94, 15 lines modified
94 ···················does·not·lie·in·the·range·[0,ncoor),·an·error·message·is·printed·and·the·program·exits.\xd94 ···················does·not·lie·in·the·range·[0,ncoor),·an·error·message·is·printed·and·the·program·exits.\xd
95 ·················5.·void·Coords_setValue·(·Coords·*coords,·int·idim,·int·icoor,·float·val·)·;\xd95 ·················5.·void·Coords_setValue·(·Coords·*coords,·int·idim,·int·icoor,·float·val·)·;\xd
96 ···················Thismethodsetsthefloatvalueoftheidim-thcoordinateoftheicoor-thgridpoint.·Forex-\xd96 ···················Thismethodsetsthefloatvalueoftheidim-thcoordinateoftheicoor-thgridpoint.·Forex-\xd
97 ···················ample,·Coords·setValue(coords,·1,·27,·1.2)·sets·x····=1.2,·Coords·setValue(coords,\xd97 ···················ample,·Coords·setValue(coords,·1,·27,·1.2)·sets·x····=1.2,·Coords·setValue(coords,\xd
98 ······································································27\xd98 ······································································27\xd
99 ···················2,·16,·3.3)·sets·y··=3.3,·and·Coords·setValue(coords,·3,·118,·0)·sets·z·····=0.\xd99 ···················2,·16,·3.3)·sets·y··=3.3,·and·Coords·setValue(coords,·3,·118,·0)·sets·z·····=0.\xd
100 ·····································16·····················································118\xd100 ·····································16·····················································118\xd
101 ··············4····························Coords·:·DRAFT·January·7,·2024\xd101 ··············4···························Coords·:·DRAFT·February·8,·2025\xd
102 ···················Error·checking:·If·coords·is·NULL,·or·if·idim·does·not·lie·in·the·range·[1,ndim],·or·if·icoor\xd102 ···················Error·checking:·If·coords·is·NULL,·or·if·idim·does·not·lie·in·the·range·[1,ndim],·or·if·icoor\xd
103 ···················does·not·lie·in·the·range·[0,ncoor),·an·error·message·is·printed·and·the·program·exits.\xd103 ···················does·not·lie·in·the·range·[0,ncoor),·an·error·message·is·printed·and·the·program·exits.\xd
104 ··············1.2.4··IO·methods\xd104 ··············1.2.4··IO·methods\xd
105 ··············There·are·the·usual·eight·IO·routines.·The·file·structure·of·a·Coords·object·is·simple:·type,·ndim,\xd105 ··············There·are·the·usual·eight·IO·routines.·The·file·structure·of·a·Coords·object·is·simple:·type,·ndim,\xd
106 ··············ncoor·followed·by·the·coors[]·vector.\xd106 ··············ncoor·followed·by·the·coors[]·vector.\xd
107 ················1.·int·Coords_readFromFile·(·Coords·*coords,·char·*filename·)·;\xd107 ················1.·int·Coords_readFromFile·(·Coords·*coords,·char·*filename·)·;\xd
108 ···················This·method·read·a·Coords·object·from·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,·it\xd108 ···················This·method·read·a·Coords·object·from·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,·it\xd
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129 ···················This·method·writes·a·Coords·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the\xd129 ···················This·method·writes·a·Coords·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the\xd
130 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd130 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd
131 ···················Error·checking:·If·coords·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd131 ···················Error·checking:·If·coords·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
132 ················6.·int·Coords_writeToBinaryFile·(·Coords·*coords,·FILE·*fp·)·;\xd132 ················6.·int·Coords_writeToBinaryFile·(·Coords·*coords,·FILE·*fp·)·;\xd
133 ···················This·method·writes·a·Coords·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd133 ···················This·method·writes·a·Coords·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd
134 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd134 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd
135 ···················Error·checking:·If·coords·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd135 ···················Error·checking:·If·coords·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
136 ······································Coords·:·DRAFT··January·7,·2024····················5\xd136 ·····································Coords·:·DRAFT···February·8,·2025···················5\xd
137 ···············7.·int·Coords_writeForHumanEye·(·Coords·*coords,·FILE·*fp·)·;\xd137 ···············7.·int·Coords_writeForHumanEye·(·Coords·*coords,·FILE·*fp·)·;\xd
138 ·················This·method·write·the·Coords·object·to·a·file·in·an·easy·to·read·fashion.·The·method\xd138 ·················This·method·write·the·Coords·object·to·a·file·in·an·easy·to·read·fashion.·The·method\xd
139 ·················Coords·writeStats()·is·called·to·write·out·the·header·and·statistics.·The·coors[]·vector·is\xd139 ·················Coords·writeStats()·is·called·to·write·out·the·header·and·statistics.·The·coors[]·vector·is\xd
140 ·················then·printed·out.·The·value·1·is·returned.\xd140 ·················then·printed·out.·The·value·1·is·returned.\xd
141 ·················Error·checking:·If·coords·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd141 ·················Error·checking:·If·coords·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
142 ···············8.·int·Coords_writeStats·(·Coords·*coords,·FILE·*fp·)·;\xd142 ···············8.·int·Coords_writeStats·(·Coords·*coords,·FILE·*fp·)·;\xd
143 ·················The·header·and·statistics·are·written.·The·value·1·is·returned.\xd143 ·················The·header·and·statistics·are·written.·The·value·1·is·returned.\xd
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164 ·················This·driver·program·creates·a·Coords·object·for·9-point·finite·difference·operator·on·a·n1×n2\xd164 ·················This·driver·program·creates·a·Coords·object·for·9-point·finite·difference·operator·on·a·n1×n2\xd
165 ·················grid·and·optionally·writes·it·to·a·file.\xd165 ·················grid·and·optionally·writes·it·to·a·file.\xd
166 ····················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd166 ····················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd
167 ·····················that·all·objects·are·written·to·the·message·file.\xd167 ·····················that·all·objects·are·written·to·the·message·file.\xd
168 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd168 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
169 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·message\xd169 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·message\xd
170 ·····················data.\xd170 ·····················data.\xd
171 ·······6··············Coords·:·DRAFT·January·7,·2024\xd171 ·······6··············Coords·:·DRAFT·February·8,·2025\xd
172 ············TheoutCoordsFileparameteristheoutputfilefortheCoordsobject.·IfoutCoordsFile\xd172 ············TheoutCoordsFileparameteristheoutputfilefortheCoordsobject.·IfoutCoordsFile\xd
173 ············is·nonethentheCoordsobjectisnotwrittentoafile.·Otherwise,theCoords·writeToFile()\xd173 ············is·nonethentheCoordsobjectisnotwrittentoafile.·Otherwise,theCoords·writeToFile()\xd
174 ············method·is·called·to·write·the·object·to·a·formatted·file·(if·outCoordsFile·is·of·the·form\xd174 ············method·is·called·to·write·the·object·to·a·formatted·file·(if·outCoordsFile·is·of·the·form\xd
175 ············*.coordsf),·or·a·binary·file·(if·outCoordsFile·is·of·the·form·*.coordsb).\xd175 ············*.coordsf),·or·a·binary·file·(if·outCoordsFile·is·of·the·form·*.coordsb).\xd
176 ·······Index\xd176 ·······Index\xd
177 ·······Coords·clearData(),·2\xd177 ·······Coords·clearData(),·2\xd
178 ·······Coords·free(),·2\xd178 ·······Coords·free(),·2\xd
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10 %%EndComments10 %%EndComments
11 %%BeginDefaults11 %%BeginDefaults
12 %%ViewingOrientation:·1·0·0·112 %%ViewingOrientation:·1·0·0·1
13 %%EndDefaults13 %%EndDefaults
14 %DVIPSWebPage:·(www.radicaleye.com)14 %DVIPSWebPage:·(www.radicaleye.com)
15 %DVIPSCommandLine:·dvips·main·-o·DSTree.ps15 %DVIPSCommandLine:·dvips·main·-o·DSTree.ps
16 %DVIPSParameters:·dpi=60016 %DVIPSParameters:·dpi=600
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18 %%BeginProcSet:·tex.pro·0·018 %%BeginProcSet:·tex.pro·0·0
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21 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7221 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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1407 /UnderlineThickness·50·def1407 /UnderlineThickness·50·def
1408 end·readonly·def1408 end·readonly·def
1409 /Encoding·256·array1409 /Encoding·256·array
1410 0·1·255·{1·index·exch·/.notdef·put}·for1410 0·1·255·{1·index·exch·/.notdef·put}·for
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1412 dup·48·/zero·put1412 dup·48·/zero·put
1413 dup·50·/two·put1413 dup·50·/two·put
1414 dup·52·/four·put 
1415 dup·55·/seven·put1414 dup·53·/five·put
 1415 dup·56·/eight·put
1416 dup·58·/colon·put1416 dup·58·/colon·put
1417 dup·74·/J·put1417 dup·70·/F·put
1418 dup·97·/a·put1418 dup·97·/a·put
 1419 dup·98·/b·put
1419 dup·110·/n·put1420 dup·101·/e·put
1420 dup·114·/r·put1421 dup·114·/r·put
1421 dup·117·/u·put1422 dup·117·/u·put
1422 dup·121·/y·put1423 dup·121·/y·put
1423 readonly·def1424 readonly·def
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21 ···········The·DSTree·object·has·a·very·simple·data·structure.·It·contains·a·Tree·object·to·represent·the\xd21 ···········The·DSTree·object·has·a·very·simple·data·structure.·It·contains·a·Tree·object·to·represent·the\xd
22 ···········tree·fields·of·the·domains·and·separators,·and·an·IV·object·to·hold·the·map·from·the·vertices·to\xd22 ···········tree·fields·of·the·domains·and·separators,·and·an·IV·object·to·hold·the·map·from·the·vertices·to\xd
23 ···········the·domains·and·separators.\xd23 ···········the·domains·and·separators.\xd
24 ··············Tree·*tree·:·pointer·to·the·Tree·object\xd24 ··············Tree·*tree·:·pointer·to·the·Tree·object\xd
25 ··············IV·*mapIV·:·pointer·to·the·IV·object·that·holds·the·map·from·vertices·to·domains·and\xd25 ··············IV·*mapIV·:·pointer·to·the·IV·object·that·holds·the·map·from·vertices·to·domains·and\xd
26 ···············separators.\xd26 ···············separators.\xd
27 ·············································1\xd27 ·············································1\xd
28 ··············2·····························Tree·:·DRAFT·January·7,·2024\xd28 ··············2····························Tree·:·DRAFT·February·8,·2025\xd
29 ··············1.2···Prototypes·and·descriptions·of·DSTree·methods\xd29 ··············1.2···Prototypes·and·descriptions·of·DSTree·methods\xd
30 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd30 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
31 ··············DSTree·object.\xd31 ··············DSTree·object.\xd
32 ··············1.2.1··Basic·methods\xd32 ··············1.2.1··Basic·methods\xd
33 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd33 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
34 ··············any·allocated·data,·and·free’ing·the·object.\xd34 ··············any·allocated·data,·and·free’ing·the·object.\xd
35 ················1.·DSTree·*·DSTree_new·(·void·)·;\xd35 ················1.·DSTree·*·DSTree_new·(·void·)·;\xd
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52 ··············1.2.2··Instance·methods\xd52 ··············1.2.2··Instance·methods\xd
53 ················1.·Tree·*·DSTree_tree·(·DSTree·*dstree·)·;\xd53 ················1.·Tree·*·DSTree_tree·(·DSTree·*dstree·)·;\xd
54 ···················This·method·returns·a·pointer·to·its·Tree·object.\xd54 ···················This·method·returns·a·pointer·to·its·Tree·object.\xd
55 ···················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd55 ···················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
56 ················2.·IV·*·DSTree_mapIV·(·DSTree·*dstree·)·;\xd56 ················2.·IV·*·DSTree_mapIV·(·DSTree·*dstree·)·;\xd
57 ···················This·method·returns·a·pointer·to·its·IV·object·that·maps·vertices·to·domains·and·separators.\xd57 ···················This·method·returns·a·pointer·to·its·IV·object·that·maps·vertices·to·domains·and·separators.\xd
58 ···················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd58 ···················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
59 ··········································Tree·:·DRAFT····January·7,·2024·······················3\xd59 ·········································Tree·:·DRAFT····February·8,·2025·······················3\xd
60 ·············1.2.3···Initializer·methods\xd60 ·············1.2.3···Initializer·methods\xd
61 ·············There·are·three·initializers·and·two·helper·functions·to·set·the·dimensions·of·the·dstree,·allocate\xd61 ·············There·are·three·initializers·and·two·helper·functions·to·set·the·dimensions·of·the·dstree,·allocate\xd
62 ·············the·three·vectors,·and·fill·the·information.\xd62 ·············the·three·vectors,·and·fill·the·information.\xd
63 ················1.·void·DSTree_init1·(·DSTree·*dstree,·int·ndomsep,·int·nvtx·)·;\xd63 ················1.·void·DSTree_init1·(·DSTree·*dstree,·int·ndomsep,·int·nvtx·)·;\xd
64 ··················This·method·initializes·an·object·given·the·number·of·vertices,·(the·dimension·of·mapIV)·and\xd64 ··················This·method·initializes·an·object·given·the·number·of·vertices,·(the·dimension·of·mapIV)·and\xd
65 ··················domains·and·separators·(the·number·of·nodes·in·tree).·It·then·clears·any·previous·data\xd65 ··················domains·and·separators·(the·number·of·nodes·in·tree).·It·then·clears·any·previous·data\xd
66 ··················with·a·call·to·DSTree·clearData().·The·tree·field·is·created·and·initialized·via·a·call·to\xd66 ··················with·a·call·to·DSTree·clearData().·The·tree·field·is·created·and·initialized·via·a·call·to\xd
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88 ··················This·method·returns·the·stages·for·a·nested·dissection·variant,·separators·on·two·adjacent\xd88 ··················This·method·returns·the·stages·for·a·nested·dissection·variant,·separators·on·two·adjacent\xd
89 ··················levels·are·put·into·the·same·stage.·The·levels·of·the·domains·and·separators·are·obtained\xd89 ··················levels·are·put·into·the·same·stage.·The·levels·of·the·domains·and·separators·are·obtained\xd
90 ··················via·a·call·to·Tree·setHeightImetric().·A·stagesIV·IV·object·is·created·of·size·nvtx·=\xd90 ··················via·a·call·to·Tree·setHeightImetric().·A·stagesIV·IV·object·is·created·of·size·nvtx·=\xd
91 ··················mapIV->size,·filled·and·then·returned.·If·a·vertex·is·found·in·a·domain,·its·stage·is·zero.·If\xd91 ··················mapIV->size,·filled·and·then·returned.·If·a·vertex·is·found·in·a·domain,·its·stage·is·zero.·If\xd
92 ··················a·vertex·is·found·in·a·separator·at·level·k,·its·stage·is·⌈k/2⌉.\xd92 ··················a·vertex·is·found·in·a·separator·at·level·k,·its·stage·is·⌈k/2⌉.\xd
93 ··················Error·checking:·If·dstree·is·NULL,·or·if·the·object·has·not·been·initialized,·an·error·message\xd93 ··················Error·checking:·If·dstree·is·NULL,·or·if·the·object·has·not·been·initialized,·an·error·message\xd
94 ··················is·printed·and·the·program·exits.\xd94 ··················is·printed·and·the·program·exits.\xd
95 ·············4·····························Tree·:·DRAFT·January·7,·2024\xd95 ·············4····························Tree·:·DRAFT·February·8,·2025\xd
96 ················3.·IV·*·DSTree_MS2stages·(·DSTree·*dstree·)··;\xd96 ················3.·IV·*·DSTree_MS2stages·(·DSTree·*dstree·)··;\xd
97 ··················This·method·returns·the·stages·for·the·standard·multisection·ordering.·The·levels·of·the\xd97 ··················This·method·returns·the·stages·for·the·standard·multisection·ordering.·The·levels·of·the\xd
98 ··················domains·and·separators·are·obtained·via·a·call·to·Tree·setHeightImetric().·A·stagesIV\xd98 ··················domains·and·separators·are·obtained·via·a·call·to·Tree·setHeightImetric().·A·stagesIV\xd
99 ··················IV·object·is·created·of·size·nvtx·=·mapIV->size,·filled·and·then·returned.·If·a·vertex·is\xd99 ··················IV·object·is·created·of·size·nvtx·=·mapIV->size,·filled·and·then·returned.·If·a·vertex·is\xd
100 ··················found·in·a·domain,·its·stage·is·zero.·If·a·vertex·is·found·in·a·separator,·its·stage·is·one.\xd100 ··················found·in·a·domain,·its·stage·is·zero.·If·a·vertex·is·found·in·a·separator,·its·stage·is·one.\xd
101 ··················Error·checking:·If·dstree·is·NULL,·or·if·the·object·has·not·been·initialized,·an·error·message\xd101 ··················Error·checking:·If·dstree·is·NULL,·or·if·the·object·has·not·been·initialized,·an·error·message\xd
102 ··················is·printed·and·the·program·exits.\xd102 ··················is·printed·and·the·program·exits.\xd
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125 ··················If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.·Otherwise,·the·number\xd125 ··················If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.·Otherwise,·the·number\xd
126 ··················of·bytes·taken·by·this·object·is·returned.\xd126 ··················of·bytes·taken·by·this·object·is·returned.\xd
127 ··················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd127 ··················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
128 ················2.·void·DSTree_renumberViaPostOT·(·DSTree·*dstree·)·;\xd128 ················2.·void·DSTree_renumberViaPostOT·(·DSTree·*dstree·)·;\xd
129 ··················This·method·renumbers·the·fronts·in·the·tree·via·a·post-order·traversal.\xd129 ··················This·method·renumbers·the·fronts·in·the·tree·via·a·post-order·traversal.\xd
130 ··················Error·checking:·If·dstree·is·NULL,·or·if·the·object·has·not·been·initialized,·an·error·message\xd130 ··················Error·checking:·If·dstree·is·NULL,·or·if·the·object·has·not·been·initialized,·an·error·message\xd
131 ··················is·printed·and·the·program·exits.\xd131 ··················is·printed·and·the·program·exits.\xd
132 ······································Tree·:·DRAFT···January·7,·2024····················5\xd132 ······································Tree·:·DRAFT··February·8,·2025····················5\xd
133 ··············3.·int·DSTree_domainWeight·(·DSTree·*dstree,·int·vwghts[]·)·;\xd133 ··············3.·int·DSTree_domainWeight·(·DSTree·*dstree,·int·vwghts[]·)·;\xd
134 ·················This·method·returns·the·weight·of·the·vertices·in·the·domains.·If·vwghts·is·NULL,·the·vertices\xd134 ·················This·method·returns·the·weight·of·the·vertices·in·the·domains.·If·vwghts·is·NULL,·the·vertices\xd
135 ·················have·unit·weight.\xd135 ·················have·unit·weight.\xd
136 ·················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd136 ·················Error·checking:·If·dstree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
137 ··············4.·int·DSTree_separatorWeight·(·DSTree·*dstree,·int·vwghts[]·)·;\xd137 ··············4.·int·DSTree_separatorWeight·(·DSTree·*dstree,·int·vwghts[]·)·;\xd
138 ·················This·method·returns·the·weight·of·the·vertices·in·the·separators.·If·vwghts·is·NULL,·the\xd138 ·················This·method·returns·the·weight·of·the·vertices·in·the·separators.·If·vwghts·is·NULL,·the\xd
139 ·················vertices·have·unit·weight.\xd139 ·················vertices·have·unit·weight.\xd
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159 ··············4.·int·DSTree_writeToFile·(·DSTree·*dstree,·char·*fn·)·;\xd159 ··············4.·int·DSTree_writeToFile·(·DSTree·*dstree,·char·*fn·)·;\xd
160 ·················This·method·writes·a·DSTree·object·to·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,\xd160 ·················This·method·writes·a·DSTree·object·to·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,\xd
161 ·················it·then·calls·DSTree·writeFromFormattedFile()or·DSTree·writeFromBinaryFile(),closes\xd161 ·················it·then·calls·DSTree·writeFromFormattedFile()or·DSTree·writeFromBinaryFile(),closes\xd
162 ·················the·file·and·returns·the·value·returned·from·the·called·routine.\xd162 ·················the·file·and·returns·the·value·returned·from·the·called·routine.\xd
163 ·················Error·checking:·If·dstree·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.dstreef·(for·a\xd163 ·················Error·checking:·If·dstree·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.dstreef·(for·a\xd
164 ·················formatted·file)·or·*.dstreeb·(for·a·binary·file),·an·error·message·is·printed·and·the·method\xd164 ·················formatted·file)·or·*.dstreeb·(for·a·binary·file),·an·error·message·is·printed·and·the·method\xd
165 ·················returns·zero.\xd165 ·················returns·zero.\xd
166 ··············6·······························Tree·:·DRAFT·January·7,·2024\xd166 ··············6······························Tree·:·DRAFT·February·8,·2025\xd
167 ·················5.·int·DSTree_writeToFormattedFile·(·DSTree·*dstree,·FILE·*fp·)·;\xd167 ·················5.·int·DSTree_writeToFormattedFile·(·DSTree·*dstree,·FILE·*fp·)·;\xd
168 ···················This·method·writes·a·DSTree·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the\xd168 ···················This·method·writes·a·DSTree·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the\xd
169 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd169 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd
170 ···················Error·checking:·If·dstree·or·fp·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd170 ···················Error·checking:·If·dstree·or·fp·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
171 ·················6.·int·DSTree_writeToBinaryFile·(·DSTree·*dstree,·FILE·*fp·)·;\xd171 ·················6.·int·DSTree_writeToBinaryFile·(·DSTree·*dstree,·FILE·*fp·)·;\xd
172 ···················This·method·writes·a·DSTree·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd172 ···················This·method·writes·a·DSTree·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd
173 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd173 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd
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195 ·······················The·inFile·parameter·is·the·input·file·for·the·DSTree·object.··It·must·be·of·the\xd195 ·······················The·inFile·parameter·is·the·input·file·for·the·DSTree·object.··It·must·be·of·the\xd
196 ························form·*.dinpmtxf·or·*.dinpmtxb.·The·DSTree·object·is·read·from·the·file·via·the\xd196 ························form·*.dinpmtxf·or·*.dinpmtxb.·The·DSTree·object·is·read·from·the·file·via·the\xd
197 ························DSTree·readFromFile()·method.\xd197 ························DSTree·readFromFile()·method.\xd
198 ·······················The·outFileparameter·is·the·output·file·for·the·DSTree·object.·If·outFile·is·none·then\xd198 ·······················The·outFileparameter·is·the·output·file·for·the·DSTree·object.·If·outFile·is·none·then\xd
199 ························the·DSTreeobject·is·not·written·to·a·file.·Otherwise,·the·DSTree·writeToFile()method\xd199 ························the·DSTreeobject·is·not·written·to·a·file.·Otherwise,·the·DSTree·writeToFile()method\xd
200 ························is·called·to·write·the·object·to·a·formatted·file·(if·outFile·is·of·the·form·*.dinpmtxf),\xd200 ························is·called·to·write·the·object·to·a·formatted·file·(if·outFile·is·of·the·form·*.dinpmtxf),\xd
201 ························or·a·binary·file·(if·outFile·is·of·the·form·*.dinpmtxb).\xd201 ························or·a·binary·file·(if·outFile·is·of·the·form·*.dinpmtxb).\xd
202 ······································Tree·:·DRAFT···January·7,·2024····················7\xd202 ······································Tree·:·DRAFT··February·8,·2025····················7\xd
203 ··············2.·writeStagesIV·msglvl·msgFile·inFile·type·outFile\xd203 ··············2.·writeStagesIV·msglvl·msgFile·inFile·type·outFile\xd
204 ·················This·driver·program·reads·in·a·DSTree·from·a·file,·creates·a·stages·IV·object·and·writes·it·to\xd204 ·················This·driver·program·reads·in·a·DSTree·from·a·file,·creates·a·stages·IV·object·and·writes·it·to\xd
205 ·················a·file.\xd205 ·················a·file.\xd
206 ····················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd206 ····················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd
207 ·····················the·DSTree·object·is·written·to·the·message·file.\xd207 ·····················the·DSTree·object·is·written·to·the·message·file.\xd
208 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd208 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
209 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd209 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd
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./usr/share/doc/spooles-doc/DV.ps.gz
36.5 KB
DV.ps
    
Offset 11, 15 lines modifiedOffset 11, 15 lines modified
11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
13 %%ViewingOrientation:·1·0·0·113 %%ViewingOrientation:·1·0·0·1
14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·DV.ps16 %DVIPSCommandLine:·dvips·main·-o·DV.ps
17 %DVIPSParameters:·dpi=60017 %DVIPSParameters:·dpi=600
18 %DVIPSSource:··TeX·output·2024.01.07:164418 %DVIPSSource:··TeX·output·2025.02.08:2316
19 %%BeginProcSet:·tex.pro·0·019 %%BeginProcSet:·tex.pro·0·0
20 %!20 %!
21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 2351, 20 lines modifiedOffset 2351, 21 lines modified
2351 /UnderlineThickness·50·def2351 /UnderlineThickness·50·def
2352 end·readonly·def2352 end·readonly·def
2353 /Encoding·256·array2353 /Encoding·256·array
2354 0·1·255·{1·index·exch·/.notdef·put}·for2354 0·1·255·{1·index·exch·/.notdef·put}·for
2355 dup·44·/comma·put2355 dup·44·/comma·put
2356 dup·48·/zero·put2356 dup·48·/zero·put
2357 dup·50·/two·put2357 dup·50·/two·put
2358 dup·52·/four·put 
2359 dup·55·/seven·put2358 dup·53·/five·put
 2359 dup·56·/eight·put
2360 dup·58·/colon·put2360 dup·58·/colon·put
2361 dup·74·/J·put2361 dup·70·/F·put
2362 dup·97·/a·put2362 dup·97·/a·put
 2363 dup·98·/b·put
2363 dup·110·/n·put2364 dup·101·/e·put
2364 dup·114·/r·put2365 dup·114·/r·put
2365 dup·117·/u·put2366 dup·117·/u·put
2366 dup·121·/y·put2367 dup·121·/y·put
2367 readonly·def2368 readonly·def
2368 currentdict·end2369 currentdict·end
2369 currentfile·eexec2370 currentfile·eexec
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Offset 22, 15 lines modifiedOffset 22, 15 lines modified
22 ···············simplest·operations,·and·so·when·we·need·to·manipulate·an·double·vector·inside·a·loop,·we·extract\xd22 ···············simplest·operations,·and·so·when·we·need·to·manipulate·an·double·vector·inside·a·loop,·we·extract\xd
23 ···············out·the·size·and·pointer·to·the·base·array·from·the·DV·object.·On·the·other·hand,·the·convenience\xd23 ···············out·the·size·and·pointer·to·the·base·array·from·the·DV·object.·On·the·other·hand,·the·convenience\xd
24 ···············makes·it·a·widely·used·object.\xd24 ···············makes·it·a·widely·used·object.\xd
25 ···············1.1····Data·Structure\xd25 ···············1.1····Data·Structure\xd
26 ···············The·DV·structure·has·three·fields.\xd26 ···············The·DV·structure·has·three·fields.\xd
27 ···················int·size·:·present·size·of·the·vector.\xd27 ···················int·size·:·present·size·of·the·vector.\xd
28 ·····························································1\xd28 ·····························································1\xd
29 ··············2······························DV·:·DRAFT·January·7,·2024\xd29 ··············2·····························DV·:·DRAFT·February·8,·2025\xd
30 ··················int·maxsize·:·maximum·size·of·the·vector.\xd30 ··················int·maxsize·:·maximum·size·of·the·vector.\xd
31 ··················int·owned·:·owner·flag·for·the·data.·When·owned·=·1,·storage·for·owned·double’s·has·been\xd31 ··················int·owned·:·owner·flag·for·the·data.·When·owned·=·1,·storage·for·owned·double’s·has·been\xd
32 ···················allocated·by·this·object·and·can·be·free’d·by·the·object.·When·owned·==·0·but·size·>·0·,\xd32 ···················allocated·by·this·object·and·can·be·free’d·by·the·object.·When·owned·==·0·but·size·>·0·,\xd
33 ···················this·object·points·to·entries·that·have·been·allocated·elsewhere,·and·these·entries·will·not·be\xd33 ···················this·object·points·to·entries·that·have·been·allocated·elsewhere,·and·these·entries·will·not·be\xd
34 ···················free’d·by·this·object.\xd34 ···················free’d·by·this·object.\xd
35 ··················double·*vec·:·pointer·to·the·base·address·of·the·double·vector\xd35 ··················double·*vec·:·pointer·to·the·base·address·of·the·double·vector\xd
36 ··············The·size,·maxsize,·nowned·and·vec·fields·need·never·be·accessed·directly··see·the·DV·size(),\xd36 ··············The·size,·maxsize,·nowned·and·vec·fields·need·never·be·accessed·directly··see·the·DV·size(),\xd
Offset 53, 15 lines modifiedOffset 53, 15 lines modified
53 ···················the·storage·for·vec·is·free’d·by·a·call·to·DVfree().·The·structure’s·default·fields·are·then·set\xd53 ···················the·storage·for·vec·is·free’d·by·a·call·to·DVfree().·The·structure’s·default·fields·are·then·set\xd
54 ···················with·a·call·to·DV·setDefaultFields().\xd54 ···················with·a·call·to·DV·setDefaultFields().\xd
55 ···················Error·checking:·If·dv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd55 ···················Error·checking:·If·dv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
56 ················4.·void·DV_free·(·DV·*dv·)·;\xd56 ················4.·void·DV_free·(·DV·*dv·)·;\xd
57 ···················This·method·releases·any·storage·by·a·call·to·DV·clearData()·then·free’s·the·storage·for·the\xd57 ···················This·method·releases·any·storage·by·a·call·to·DV·clearData()·then·free’s·the·storage·for·the\xd
58 ···················structure·with·a·call·to·free().\xd58 ···················structure·with·a·call·to·free().\xd
59 ···················Error·checking:·If·dv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd59 ···················Error·checking:·If·dv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
60 ········································DV·:·DRAFT··January·7,·2024······················3\xd60 ·······································DV·:·DRAFT···February·8,·2025·····················3\xd
61 ············1.2.2··Instance·methods\xd61 ············1.2.2··Instance·methods\xd
62 ············These·method·allow·access·to·information·in·the·data·fields·without·explicitly·following·pointers.\xd62 ············These·method·allow·access·to·information·in·the·data·fields·without·explicitly·following·pointers.\xd
63 ············There·is·overhead·involved·with·these·method·due·to·the·function·call·and·error·checking·inside\xd63 ············There·is·overhead·involved·with·these·method·due·to·the·function·call·and·error·checking·inside\xd
64 ············the·methods.\xd64 ············the·methods.\xd
65 ···············1.·int·DV_owned·(·DV·*dv·)·;\xd65 ···············1.·int·DV_owned·(·DV·*dv·)·;\xd
66 ·················This·method·returns·the·value·of·owned.·If·owned·>·0,·then·the·object·owns·the·data·pointed\xd66 ·················This·method·returns·the·value·of·owned.·If·owned·>·0,·then·the·object·owns·the·data·pointed\xd
67 ·················to·by·vec·and·will·free·this·data·with·a·call·to·DVfree()·when·its·data·is·cleared·by·a·call·to\xd67 ·················to·by·vec·and·will·free·this·data·with·a·call·to·DVfree()·when·its·data·is·cleared·by·a·call·to\xd
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85 ·················This·method·fills·*psize·with·the·size·of·the·vector·and·**pentries·with·the·base·address\xd85 ·················This·method·fills·*psize·with·the·size·of·the·vector·and·**pentries·with·the·base·address\xd
86 ·················of·the·vector.\xd86 ·················of·the·vector.\xd
87 ·················Error·checking:·If·dv,·psize·or·pentriesis·NULL,·an·error·message·is·printed·and·the·program\xd87 ·················Error·checking:·If·dv,·psize·or·pentriesis·NULL,·an·error·message·is·printed·and·the·program\xd
88 ·················exits.\xd88 ·················exits.\xd
89 ···············7.·void·DV_setEntry·(·DV·*dv,·int·loc,·double·value·)·;\xd89 ···············7.·void·DV_setEntry·(·DV·*dv,·int·loc,·double·value·)·;\xd
90 ·················This·method·sets·the·loc’th·entry·of·the·vector·to·value.\xd90 ·················This·method·sets·the·loc’th·entry·of·the·vector·to·value.\xd
91 ·················Error·checking:·If·dv·is·NULL·or·loc·<·0,·an·error·message·is·printed·and·the·program·exits.\xd91 ·················Error·checking:·If·dv·is·NULL·or·loc·<·0,·an·error·message·is·printed·and·the·program·exits.\xd
92 ··············4······························DV·:·DRAFT·January·7,·2024\xd92 ··············4·····························DV·:·DRAFT·February·8,·2025\xd
93 ··············1.2.3··Initializer·methods\xd93 ··············1.2.3··Initializer·methods\xd
94 ··············There·are·three·initializer·methods.\xd94 ··············There·are·three·initializer·methods.\xd
95 ················1.·void·DV_init·(·DV·*dv,·int·size,·double·*entries·)·;\xd95 ················1.·void·DV_init·(·DV·*dv,·int·size,·double·*entries·)·;\xd
96 ···················This·method·initializes·the·object·given·a·size·for·the·vector·and·a·possible·pointer·to·the\xd96 ···················This·method·initializes·the·object·given·a·size·for·the·vector·and·a·possible·pointer·to·the\xd
97 ···················vectors’·storage.·Any·previous·data·is·cleared·with·a·call·to·DV·clearData().·If·entries·!=\xd97 ···················vectors’·storage.·Any·previous·data·is·cleared·with·a·call·to·DV·clearData().·If·entries·!=\xd
98 ···················NULL·then·the·vec·field·is·set·to·entries,·the·size·and·maxsize·fields·are·set·to·size,·and\xd98 ···················NULL·then·the·vec·field·is·set·to·entries,·the·size·and·maxsize·fields·are·set·to·size,·and\xd
99 ···················owned·is·set·to·zero·because·the·object·does·not·own·the·entries.·If·entries·is·NULL·and·size\xd99 ···················owned·is·set·to·zero·because·the·object·does·not·own·the·entries.·If·entries·is·NULL·and·size\xd
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123 ···················increased·with·a·call·to·DV·setMaxsize().·The·size·field·is·set·to·newsize.\xd123 ···················increased·with·a·call·to·DV·setMaxsize().·The·size·field·is·set·to·newsize.\xd
124 ···················Error·checking:·If·dv·is·NULL,·or·newsize·<·0,·or·if·0·<·maxsize·<·newsize·and·owned·=\xd124 ···················Error·checking:·If·dv·is·NULL,·or·newsize·<·0,·or·if·0·<·maxsize·<·newsize·and·owned·=\xd
125 ···················0,·an·error·message·is·printed·and·the·program·exits.\xd125 ···················0,·an·error·message·is·printed·and·the·program·exits.\xd
126 ··············1.2.4··Utility·methods\xd126 ··············1.2.4··Utility·methods\xd
127 ················1.·void·DV_shiftBase·(·DV·*dv,·int·offset·)·;\xd127 ················1.·void·DV_shiftBase·(·DV·*dv,·int·offset·)·;\xd
128 ···················This·method·shifts·the·base·entries·of·the·vector·and·decrements·the·present·size·and·max-\xd128 ···················This·method·shifts·the·base·entries·of·the·vector·and·decrements·the·present·size·and·max-\xd
129 ···················imum·size·of·the·vector·by·offset.·This·is·a·dangerous·method·to·use·because·the·state·of\xd129 ···················imum·size·of·the·vector·by·offset.·This·is·a·dangerous·method·to·use·because·the·state·of\xd
130 ········································DV·:·DRAFT··January·7,·2024······················5\xd130 ·······································DV·:·DRAFT···February·8,·2025·····················5\xd
131 ·················the·vector·is·lost,·namely·vec,·the·base·of·the·entries,·is·corrupted.·If·the·object·owns·its\xd131 ·················the·vector·is·lost,·namely·vec,·the·base·of·the·entries,·is·corrupted.·If·the·object·owns·its\xd
132 ·················entries·and·DV·free(),·DV·setSize()·or·DV·setMaxsize()·is·called·before·the·base·has·been\xd132 ·················entries·and·DV·free(),·DV·setSize()·or·DV·setMaxsize()·is·called·before·the·base·has·been\xd
133 ·················shifted·back·to·its·original·position,·a·segmentation·violation·will·likely·result.·This·is·a·very\xd133 ·················shifted·back·to·its·original·position,·a·segmentation·violation·will·likely·result.·This·is·a·very\xd
134 ·················useful·method,·but·use·with·caution.\xd134 ·················useful·method,·but·use·with·caution.\xd
135 ·················Error·checking:·If·dv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd135 ·················Error·checking:·If·dv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
136 ···············2.·void·DV_push·(·DV·*dv,·double·val·)·;\xd136 ···············2.·void·DV_push·(·DV·*dv,·double·val·)·;\xd
137 ·················This·method·pushes·an·entry·onto·the·vector.·If·the·vector·is·full,·i.e.,·if·size·==·maxsize\xd137 ·················This·method·pushes·an·entry·onto·the·vector.·If·the·vector·is·full,·i.e.,·if·size·==·maxsize\xd
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159 ·················This·method·shuffles·the·entries·in·the·vector·using·seed·as·a·seed·to·a·random·number\xd159 ·················This·method·shuffles·the·entries·in·the·vector·using·seed·as·a·seed·to·a·random·number\xd
160 ·················generator.\xd160 ·················generator.\xd
161 ·················Error·checking:·If·dv·is·NULL,·size·<=·0·or·if·vec·==·NULL,·an·error·message·is·printed·and\xd161 ·················Error·checking:·If·dv·is·NULL,·size·<=·0·or·if·vec·==·NULL,·an·error·message·is·printed·and\xd
162 ·················the·program·exits.\xd162 ·················the·program·exits.\xd
163 ···············7.·int·DV_sizeOf·(·DV·*dv·)·;\xd163 ···············7.·int·DV_sizeOf·(·DV·*dv·)·;\xd
164 ·················This·method·returns·the·number·of·bytes·taken·by·the·object.\xd164 ·················This·method·returns·the·number·of·bytes·taken·by·the·object.\xd
165 ·················Error·checking:·If·dv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd165 ·················Error·checking:·If·dv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
166 ··············6······························DV·:·DRAFT·January·7,·2024\xd166 ··············6·····························DV·:·DRAFT·February·8,·2025\xd
167 ················8.·double·*·DV_first·(·DV·*dv·)·;\xd167 ················8.·double·*·DV_first·(·DV·*dv·)·;\xd
168 ···················double·*·DV_next·(·DV·*dv,·int·*pd·)·;\xd168 ···················double·*·DV_next·(·DV·*dv,·int·*pd·)·;\xd
169 ···················These·two·methods·are·used·as·iterators,·e.g.,\xd169 ···················These·two·methods·are·used·as·iterators,·e.g.,\xd
170 ···················for·(·pd·=·DV_first(dv)·;·pd·!=·NULL·;·pd·=·DV_next(dv,·pd)·)·{\xd170 ···················for·(·pd·=·DV_first(dv)·;·pd·!=·NULL·;·pd·=·DV_next(dv,·pd)·)·{\xd
171 ······················do·something·with·entry·*pd\xd171 ······················do·something·with·entry·*pd\xd
172 ···················}\xd172 ···················}\xd
173 ···················Each·method·checks·to·see·if·dv·or·pd·is·NULL,·if·so·an·error·message·is·printed·and·the\xd173 ···················Each·method·checks·to·see·if·dv·or·pd·is·NULL,·if·so·an·error·message·is·printed·and·the\xd
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193 ···················smaller·than·tausmall,·or·larger·than·taubig·are·placed·into·pnzero,·*pnsmall·and·*pnbig,\xd193 ···················smaller·than·tausmall,·or·larger·than·taubig·are·placed·into·pnzero,·*pnsmall·and·*pnbig,\xd
194 ···················respectively.·On·return,·the·size·of·the·xDV·and·yDV·objects·is·npts.\xd194 ···················respectively.·On·return,·the·size·of·the·xDV·and·yDV·objects·is·npts.\xd
195 ···················Error·checking:·If·dv,·xDV,·yDV,·pnsmall·or·pnbig·are·NULL,·or·if·npts··0,·or·if·taubig·<·0.0\xd195 ···················Error·checking:·If·dv,·xDV,·yDV,·pnsmall·or·pnbig·are·NULL,·or·if·npts··0,·or·if·taubig·<·0.0\xd
196 ···················or·if·tausmall·>·taubig,·an·error·message·is·printed·and·the·program·exits.\xd196 ···················or·if·tausmall·>·taubig,·an·error·message·is·printed·and·the·program·exits.\xd
197 ··············1.2.5··IO·methods\xd197 ··············1.2.5··IO·methods\xd
198 ··············There·are·the·usual·eight·IO·routines.·The·file·structure·of·a·DV·object·is·simple:·the·first·entry·is\xd198 ··············There·are·the·usual·eight·IO·routines.·The·file·structure·of·a·DV·object·is·simple:·the·first·entry·is\xd
199 ··············size,·followed·by·the·size·entries·found·in·vec[].\xd199 ··············size,·followed·by·the·size·entries·found·in·vec[].\xd
200 ········································DV·:·DRAFT··January·7,·2024······················7\xd200 ·······································DV·:·DRAFT···February·8,·2025·····················7\xd
201 ···············1.·int·DV_readFromFile·(·DV·*dv,·char·*fn·)·;\xd201 ···············1.·int·DV_readFromFile·(·DV·*dv,·char·*fn·)·;\xd
202 ·················This·method·reads·a·DV·object·from·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,·it\xd202 ·················This·method·reads·a·DV·object·from·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,·it\xd
203 ·················then·calls·DV·readFromFormattedFile()·or·DV·readFromBinaryFile(),·closes·the·file·and\xd203 ·················then·calls·DV·readFromFormattedFile()·or·DV·readFromBinaryFile(),·closes·the·file·and\xd
204 ·················returns·the·value·returned·from·the·called·routine.\xd204 ·················returns·the·value·returned·from·the·called·routine.\xd
205 ·················Error·checking:·If·dv·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.dvf·(for·a·formatted·file)\xd205 ·················Error·checking:·If·dv·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.dvf·(for·a·formatted·file)\xd
206 ·················or·*.dvb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd206 ·················or·*.dvb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd
207 ···············2.·int·DV_readFromFormattedFile·(·DV·*dv,·FILE·*fp·)·;\xd207 ···············2.·int·DV_readFromFormattedFile·(·DV·*dv,·FILE·*fp·)·;\xd
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230 ·················This·method·writes·a·DV·object·to·a·file·in·a·human·readable·format.·is·called·to·write·out\xd230 ·················This·method·writes·a·DV·object·to·a·file·in·a·human·readable·format.·is·called·to·write·out\xd
231 ·················the·header·and·statistics.·The·entries·of·the·vector·then·follow·in·eighty·column·format·using\xd231 ·················the·header·and·statistics.·The·entries·of·the·vector·then·follow·in·eighty·column·format·using\xd
232 ·················the·DVfprintf()·method.·The·value·1·is·returned.\xd232 ·················the·DVfprintf()·method.·The·value·1·is·returned.\xd
233 ·················Error·checking:·If·dv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd233 ·················Error·checking:·If·dv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
234 ···············8.·int·DV_writeStats·(·DV·*dv,·FILE·*fp·)·;\xd234 ···············8.·int·DV_writeStats·(·DV·*dv,·FILE·*fp·)·;\xd
235 ·················This·method·writes·the·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd235 ·················This·method·writes·the·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd
236 ·················Error·checking:·If·dv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd236 ·················Error·checking:·If·dv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
237 ···········8························DV·:·DRAFT·January·7,·2024\xd237 ···········8························DV·:·DRAFT·February·8,·2025\xd
238 ·············9.·int·DV_writeForMatlab·(·DV·*dv,·char·*name,·FILE·*fp·)·;\xd238 ·············9.·int·DV_writeForMatlab·(·DV·*dv,·char·*name,·FILE·*fp·)·;\xd
239 ···············This·method·writes·the·entries·of·the·vector·to·a·file·suitable·to·be·read·by·Matlab.·The\xd239 ···············This·method·writes·the·entries·of·the·vector·to·a·file·suitable·to·be·read·by·Matlab.·The\xd
240 ···············character·string·name·is·the·name·of·the·vector,·e.g,·if·name·=·"A",·then·we·have·lines·of·the\xd240 ···············character·string·name·is·the·name·of·the·vector,·e.g,·if·name·=·"A",·then·we·have·lines·of·the\xd
241 ···············form\xd241 ···············form\xd
242 ···············A(1)·=·1.000000000000e0·;\xd242 ···············A(1)·=·1.000000000000e0·;\xd
243 ···············A(2)·=·2.000000000000e0·;\xd243 ···············A(2)·=·2.000000000000e0·;\xd
244 ···············...\xd244 ···············...\xd
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10 %%EndComments10 %%EndComments
11 %%BeginDefaults11 %%BeginDefaults
12 %%ViewingOrientation:·1·0·0·112 %%ViewingOrientation:·1·0·0·1
13 %%EndDefaults13 %%EndDefaults
14 %DVIPSWebPage:·(www.radicaleye.com)14 %DVIPSWebPage:·(www.radicaleye.com)
15 %DVIPSCommandLine:·dvips·main·-o·DenseMtx.ps15 %DVIPSCommandLine:·dvips·main·-o·DenseMtx.ps
16 %DVIPSParameters:·dpi=60016 %DVIPSParameters:·dpi=600
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20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
21 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7221 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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1622 /UnderlineThickness·50·def1622 /UnderlineThickness·50·def
1623 end·readonly·def1623 end·readonly·def
1624 /Encoding·256·array1624 /Encoding·256·array
1625 0·1·255·{1·index·exch·/.notdef·put}·for1625 0·1·255·{1·index·exch·/.notdef·put}·for
1626 dup·44·/comma·put1626 dup·44·/comma·put
1627 dup·48·/zero·put1627 dup·48·/zero·put
1628 dup·50·/two·put1628 dup·50·/two·put
1629 dup·52·/four·put 
1630 dup·55·/seven·put1629 dup·53·/five·put
 1630 dup·56·/eight·put
1631 dup·58·/colon·put1631 dup·58·/colon·put
1632 dup·74·/J·put1632 dup·70·/F·put
1633 dup·97·/a·put1633 dup·97·/a·put
 1634 dup·98·/b·put
1634 dup·110·/n·put1635 dup·101·/e·put
1635 dup·114·/r·put1636 dup·114·/r·put
1636 dup·117·/u·put1637 dup·117·/u·put
1637 dup·121·/y·put1638 dup·121·/y·put
1638 readonly·def1639 readonly·def
1639 currentdict·end1640 currentdict·end
1640 currentfile·eexec1641 currentfile·eexec
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Offset 22, 15 lines modifiedOffset 22, 15 lines modified
22 ··············double·*entries·:·pointer·to·the·base·address·of·the·double·vector·that·contains·the·entries.\xd22 ··············double·*entries·:·pointer·to·the·base·address·of·the·double·vector·that·contains·the·entries.\xd
23 ··············DV·wrkDV·:·object·that·manages·the·owned·working·storage.\xd23 ··············DV·wrkDV·:·object·that·manages·the·owned·working·storage.\xd
24 ··············DenseMtx·*next·:·link·to·a·next·object·in·a·singly·linked·list.\xd24 ··············DenseMtx·*next·:·link·to·a·next·object·in·a·singly·linked·list.\xd
25 ·············One·can·query·the·type·of·entries·via·two·macros.\xd25 ·············One·can·query·the·type·of·entries·via·two·macros.\xd
26 ··············DENSEMTX·IS·REAL(mtx)·returns·1·if·the·matrix·has·real·entries,·and·0·otherwise.\xd26 ··············DENSEMTX·IS·REAL(mtx)·returns·1·if·the·matrix·has·real·entries,·and·0·otherwise.\xd
27 ··············DENSEMTX·IS·COMPLEX(mtx)·returns·1·if·the·matrix·has·complex·entries,·and·0·otherwise.\xd27 ··············DENSEMTX·IS·COMPLEX(mtx)·returns·1·if·the·matrix·has·complex·entries,·and·0·otherwise.\xd
28 ·············································1\xd28 ·············································1\xd
29 ··············2····························DenseMtx·:·DRAFT·January·7,·2024\xd29 ··············2···························DenseMtx·:·DRAFT·February·8,·2025\xd
30 ··············1.2···Prototypes·and·descriptions·of·DenseMtx·methods\xd30 ··············1.2···Prototypes·and·descriptions·of·DenseMtx·methods\xd
31 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·DenseMtx\xd31 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·DenseMtx\xd
32 ··············object.\xd32 ··············object.\xd
33 ··············1.2.1··Basic·methods\xd33 ··············1.2.1··Basic·methods\xd
34 ··············Asusual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing·any·allocated\xd34 ··············Asusual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing·any·allocated\xd
35 ··············data,·and·free’ing·the·object.\xd35 ··············data,·and·free’ing·the·object.\xd
36 ················1.·DenseMtx·*·DenseMtx_new·(·void·)·;\xd36 ················1.·DenseMtx·*·DenseMtx_new·(·void·)·;\xd
Offset 58, 15 lines modifiedOffset 58, 15 lines modified
58 ················3.·void·DenseMtx_dimensions·(·DenseMtx·*mtx,·int·*pnrow,·int·*pncol·)·;\xd58 ················3.·void·DenseMtx_dimensions·(·DenseMtx·*mtx,·int·*pnrow,·int·*pncol·)·;\xd
59 ··················This·method·fills·*pnrow·and·*pncol·with·nrow·and·ncol.\xd59 ··················This·method·fills·*pnrow·and·*pncol·with·nrow·and·ncol.\xd
60 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd60 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
61 ················4.·int·DenseMtx_columnIncrement·(·DenseMtx·*mtx·)·;\xd61 ················4.·int·DenseMtx_columnIncrement·(·DenseMtx·*mtx·)·;\xd
62 ··················This·method·returns·the·row·increment·of·the·object,·the·difference·in·memory·locations·of·two·entries\xd62 ··················This·method·returns·the·row·increment·of·the·object,·the·difference·in·memory·locations·of·two·entries\xd
63 ··················in·consecutive·columns·in·the·same·row.\xd63 ··················in·consecutive·columns·in·the·same·row.\xd
64 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd64 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
65 ···············································DenseMtx·:·DRAFT·····January·7,·2024····························3\xd65 ···············································DenseMtx·:·DRAFT·····February·8,·2025···························3\xd
66 ··················5.·int·DenseMtx_rowIncrement·(·DenseMtx·*mtx·)·;\xd66 ··················5.·int·DenseMtx_rowIncrement·(·DenseMtx·*mtx·)·;\xd
67 ····················This·method·returns·the·row·increment·of·the·object,·the·difference·in·memory·locations·of·two·entries\xd67 ····················This·method·returns·the·row·increment·of·the·object,·the·difference·in·memory·locations·of·two·entries\xd
68 ····················in·consecutive·rows·in·the·same·column.\xd68 ····················in·consecutive·rows·in·the·same·column.\xd
69 ····················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd69 ····················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
70 ··················6.·void·DenseMtx_rowIndices·(·DenseMtx·*mtx,·int·*pnrow,·**prowind·)·;\xd70 ··················6.·void·DenseMtx_rowIndices·(·DenseMtx·*mtx,·int·*pnrow,·**prowind·)·;\xd
71 ····················This·method·fills·*pnrow·with·nrow,·the·number·of·rows,·and·*prowind·with·rowind,·a·pointer·to·the\xd71 ····················This·method·fills·*pnrow·with·nrow,·the·number·of·rows,·and·*prowind·with·rowind,·a·pointer·to·the\xd
72 ····················row·indices.\xd72 ····················row·indices.\xd
Offset 97, 15 lines modifiedOffset 97, 15 lines modified
97 ····················message·is·printed·and·the·program·exits.\xd97 ····················message·is·printed·and·the·program·exits.\xd
98 ·················13.·void·DenseMtx_setComplexEntry·(·DenseMtx·*mtx,·int·irow,·int·jcol,\xd98 ·················13.·void·DenseMtx_setComplexEntry·(·DenseMtx·*mtx,·int·irow,·int·jcol,\xd
99 ·······················································double·real,·double·imag·)·;\xd99 ·······················································double·real,·double·imag·)·;\xd
100 ····················This·method·sets·the·real·and·imaginary·parts·of·the·entry·in·row·irow·and·column·jcol·to·be\xd100 ····················This·method·sets·the·real·and·imaginary·parts·of·the·entry·in·row·irow·and·column·jcol·to·be\xd
101 ····················(real,imag).\xd101 ····················(real,imag).\xd
102 ····················Error·checking:·If·mtx·is·NULL,·or·if·the·matrix·is·not·complex,·or·if·irow·or·jcol·is·out·of·range,·an\xd102 ····················Error·checking:·If·mtx·is·NULL,·or·if·the·matrix·is·not·complex,·or·if·irow·or·jcol·is·out·of·range,·an\xd
103 ····················error·message·is·printed·and·the·program·exits.\xd103 ····················error·message·is·printed·and·the·program·exits.\xd
104 ················4·································DenseMtx·:·DRAFT·January·7,·2024\xd104 ················4·································DenseMtx·:·DRAFT·February·8,·2025\xd
105 ·················14.·int·DenseMtx_row·(·DenseMtx·*mtx,·int·irow,·double·**prowent·)·;\xd105 ·················14.·int·DenseMtx_row·(·DenseMtx·*mtx,·int·irow,·double·**prowent·)·;\xd
106 ·····················This·method·fills·*prowent·with·the·first·location·of·the·entries·in·row·irow.\xd106 ·····················This·method·fills·*prowent·with·the·first·location·of·the·entries·in·row·irow.\xd
107 ·····················Return·codes:·1·is·a·normal·return,·-1·means·mtx·is·NULL,·-2·means·invalid·type·for·mtx,·-3·means\xd107 ·····················Return·codes:·1·is·a·normal·return,·-1·means·mtx·is·NULL,·-2·means·invalid·type·for·mtx,·-3·means\xd
108 ·····················irow·is·out-of-range,·-4·means·prowent·is·NULL.\xd108 ·····················irow·is·out-of-range,·-4·means·prowent·is·NULL.\xd
109 ·················15.·int·DenseMtx_column·(·DenseMtx·*mtx,·int·jcol,·double·**pcolent·)·;\xd109 ·················15.·int·DenseMtx_column·(·DenseMtx·*mtx,·int·jcol,·double·**pcolent·)·;\xd
110 ·····················This·method·fills·*pcolent·with·the·first·location·of·the·entries·in·column·jcol.\xd110 ·····················This·method·fills·*pcolent·with·the·first·location·of·the·entries·in·column·jcol.\xd
111 ·····················Return·codes:·1·is·a·normal·return,·-1·means·mtx·is·NULL,·-2·means·invalid·type·for·mtx,·-3·means\xd111 ·····················Return·codes:·1·is·a·normal·return,·-1·means·mtx·is·NULL,·-2·means·invalid·type·for·mtx,·-3·means\xd
Offset 139, 15 lines modifiedOffset 139, 15 lines modified
139 ···················4.·void·DenseMtx_initFromBuffer·(·DenseMtx·*mtx·)·;\xd139 ···················4.·void·DenseMtx_initFromBuffer·(·DenseMtx·*mtx·)·;\xd
140 ·····················This·method·initializes·the·object·using·information·present·in·the·workspace·buffer.·This·method·is\xd140 ·····················This·method·initializes·the·object·using·information·present·in·the·workspace·buffer.·This·method·is\xd
141 ·····················used·to·initialize·the·DenseMtx·object·when·it·has·been·received·as·an·MPI·message.\xd141 ·····················used·to·initialize·the·DenseMtx·object·when·it·has·been·received·as·an·MPI·message.\xd
142 ·····················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd142 ·····················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
143 ···················5.·void·DenseMtx_setA2·(·DenseMtx·*mtx,·A2·*a2·)·;\xd143 ···················5.·void·DenseMtx_setA2·(·DenseMtx·*mtx,·A2·*a2·)·;\xd
144 ·····················This·method·initializes·the·a2·object·to·point·into·the·entries·of·the·matrix.\xd144 ·····················This·method·initializes·the·a2·object·to·point·into·the·entries·of·the·matrix.\xd
145 ·····················Error·checking:·If·mtx·or·a2·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd145 ·····················Error·checking:·If·mtx·or·a2·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
146 ··········································DenseMtx·:·DRAFT···January·7,·2024······················5\xd146 ··········································DenseMtx·:·DRAFT··February·8,·2025······················5\xd
147 ··············1.2.4··Utility·methods\xd147 ··············1.2.4··Utility·methods\xd
148 ················1.·int·DenseMtx_nbytesNeeded·(·int·type,·int·nrow,·int·ncol·)·;\xd148 ················1.·int·DenseMtx_nbytesNeeded·(·int·type,·int·nrow,·int·ncol·)·;\xd
149 ··················This·method·returns·the·number·of·bytes·required·to·store·the·object’s·information·in·its·buffer.\xd149 ··················This·method·returns·the·number·of·bytes·required·to·store·the·object’s·information·in·its·buffer.\xd
150 ··················Error·checking:·If·type·is·neither·SPOOLES·REAL·nor·SPOOLES·COMPLEX,·or·if·nrow·or·ncol·is·less·than\xd150 ··················Error·checking:·If·type·is·neither·SPOOLES·REAL·nor·SPOOLES·COMPLEX,·or·if·nrow·or·ncol·is·less·than\xd
151 ··················zero,·an·error·message·is·printed·and·the·program·exits.\xd151 ··················zero,·an·error·message·is·printed·and·the·program·exits.\xd
152 ················2.·int·DenseMtx_nbytesInWorkspace·(·DenseMtx·*mtx·)·;\xd152 ················2.·int·DenseMtx_nbytesInWorkspace·(·DenseMtx·*mtx·)·;\xd
153 ··················This·method·returns·the·number·of·bytes·in·the·workspace·owned·by·this·object.\xd153 ··················This·method·returns·the·number·of·bytes·in·the·workspace·owned·by·this·object.\xd
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180 ················8.·void·DenseMtx_copyRowAndIndex·(·DenseMtx·*mtxB,·int·irowB,\xd180 ················8.·void·DenseMtx_copyRowAndIndex·(·DenseMtx·*mtxB,·int·irowB,\xd
181 ·················································DenseMtx·*mtxA,·int·irowA·)·;\xd181 ·················································DenseMtx·*mtxA,·int·irowA·)·;\xd
182 ··················This·method·copies·row·irowA·from·matrix·mtxA·into·row·irowB·of·matrix·mtxB,·and·copies·the·index\xd182 ··················This·method·copies·row·irowA·from·matrix·mtxA·into·row·irowB·of·matrix·mtxB,·and·copies·the·index\xd
183 ··················of·row·irowA·of·mtxA·into·location·irowB·of·the·row·indices·for·mtxB.\xd183 ··················of·row·irowA·of·mtxA·into·location·irowB·of·the·row·indices·for·mtxB.\xd
184 ··················Error·checking:·If·mtxB·is·NULL,·or·if·irowB·is·out·of·range,·or·if·mtxA·is·NULL,·or·if·irowA·is·out·of\xd184 ··················Error·checking:·If·mtxB·is·NULL,·or·if·irowB·is·out·of·range,·or·if·mtxA·is·NULL,·or·if·irowA·is·out·of\xd
185 ··················range,·or·if·the·number·of·columns·in·mtxB·and·mtxA·are·not·the·same,·an·error·message·is·printed·and\xd185 ··················range,·or·if·the·number·of·columns·in·mtxB·and·mtxA·are·not·the·same,·an·error·message·is·printed·and\xd
186 ··················the·program·exits.\xd186 ··················the·program·exits.\xd
187 ········6···············DenseMtx·:·DRAFT·January·7,·2024\xd187 ········6···············DenseMtx·:·DRAFT·February·8,·2025\xd
188 ·········9.·void·DenseMtx_addRow·(·DenseMtx·*mtxB,·int·irowB,·DenseMtx·*mtxA,·int·irowA·)·;\xd188 ·········9.·void·DenseMtx_addRow·(·DenseMtx·*mtxB,·int·irowB,·DenseMtx·*mtxA,·int·irowA·)·;\xd
189 ··········This·method·adds·row·irowA·from·matrix·mtxA·into·row·irowB·of·matrix·mtxB.\xd189 ··········This·method·adds·row·irowA·from·matrix·mtxA·into·row·irowB·of·matrix·mtxB.\xd
190 ··········Error·checking:·If·mtxB·is·NULL,·or·if·irowB·is·out·of·range,·or·if·mtxA·is·NULL,·or·if·irowA·is·out·of\xd190 ··········Error·checking:·If·mtxB·is·NULL,·or·if·irowB·is·out·of·range,·or·if·mtxA·is·NULL,·or·if·irowA·is·out·of\xd
191 ··········range,·or·if·the·number·of·columns·in·mtxB·and·mtxA·are·not·the·same,·an·error·message·is·printed·and\xd191 ··········range,·or·if·the·number·of·columns·in·mtxB·and·mtxA·are·not·the·same,·an·error·message·is·printed·and\xd
192 ··········the·program·exits.\xd192 ··········the·program·exits.\xd
193 ·········10.·void·DenseMtx_zero·(·DenseMtx·*mtx·)·;\xd193 ·········10.·void·DenseMtx_zero·(·DenseMtx·*mtx·)·;\xd
194 ··········This·method·zeros·the·entries·in·the·matrix.\xd194 ··········This·method·zeros·the·entries·in·the·matrix.\xd
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219 ··········This·method·copies·vector·vec[]·into·row·irow·of·matrix·mtx.\xd219 ··········This·method·copies·vector·vec[]·into·row·irow·of·matrix·mtx.\xd
220 ··········Error·checking:·If·mtx·or·vec·is·NULL,·or·if·irow·<·0·or·irow··nrow,·an·error·message·is·printed·and\xd220 ··········Error·checking:·If·mtx·or·vec·is·NULL,·or·if·irow·<·0·or·irow··nrow,·an·error·message·is·printed·and\xd
221 ··········the·program·exits.\xd221 ··········the·program·exits.\xd
222 ·········18.·double·DenseMtx_addVectorIntoRow·(·DenseMtx·*mtx,·int·irow,·double·vec[]·)·;\xd222 ·········18.·double·DenseMtx_addVectorIntoRow·(·DenseMtx·*mtx,·int·irow,·double·vec[]·)·;\xd
223 ··········This·method·adds·vector·vec[]·into·row·irow·of·matrix·mtx.\xd223 ··········This·method·adds·vector·vec[]·into·row·irow·of·matrix·mtx.\xd
224 ··········Error·checking:·If·mtx·or·vec·is·NULL,·or·if·irow·<·0·or·irow··nrow,·an·error·message·is·printed·and\xd224 ··········Error·checking:·If·mtx·or·vec·is·NULL,·or·if·irow·<·0·or·irow··nrow,·an·error·message·is·printed·and\xd
225 ··········the·program·exits.\xd225 ··········the·program·exits.\xd
226 ··········································DenseMtx·:·DRAFT···January·7,·2024······················7\xd226 ··········································DenseMtx·:·DRAFT··February·8,·2025······················7\xd
227 ··············1.2.5··IO·methods\xd227 ··············1.2.5··IO·methods\xd
228 ··············Thefile·structure·of·a·DenseMtxobject·is·simple.·First·comes·seven·scalars,·type,·rowid,·colid,·nrow,·ncol,\xd228 ··············Thefile·structure·of·a·DenseMtxobject·is·simple.·First·comes·seven·scalars,·type,·rowid,·colid,·nrow,·ncol,\xd
229 ··············inc1·and·inc2,·followed·by·the·row·indices,·followed·by·the·column·indices,·and·then·followed·by·the·matrix\xd229 ··············inc1·and·inc2,·followed·by·the·row·indices,·followed·by·the·column·indices,·and·then·followed·by·the·matrix\xd
230 ··············entries.\xd230 ··············entries.\xd
231 ················1.·int·DenseMtx_readFromFile·(·DenseMtx·*mtx,·char·*fn·)·;\xd231 ················1.·int·DenseMtx_readFromFile·(·DenseMtx·*mtx,·char·*fn·)·;\xd
232 ··················This·method·reads·an·DenseMtx·object·from·a·file.·If·the·the·file·can·be·opened·successfully,·the\xd232 ··················This·method·reads·an·DenseMtx·object·from·a·file.·If·the·the·file·can·be·opened·successfully,·the\xd
233 ··················method·calls·DenseMtx·readFromFormattedFile()·or·DenseMtx·readFromBinaryFile(),·closes·the\xd233 ··················method·calls·DenseMtx·readFromFormattedFile()·or·DenseMtx·readFromBinaryFile(),·closes·the\xd
Offset 258, 15 lines modifiedOffset 258, 15 lines modified
258 ··················Error·checking:·If·mtx·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd258 ··················Error·checking:·If·mtx·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
259 ················7.·int·DenseMtx_writeStats·(·DenseMtx·*mtx,·FILE·*fp·)·;\xd259 ················7.·int·DenseMtx_writeStats·(·DenseMtx·*mtx,·FILE·*fp·)·;\xd
260 ··················This·method·writes·out·a·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd260 ··················This·method·writes·out·a·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd
261 ··················Error·checking:·If·mtx·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd261 ··················Error·checking:·If·mtx·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
262 ················8.·void·DenseMtx_writeForHumanEye·(·DenseMtx·*mtx,·FILE·*fp·)·;\xd262 ················8.·void·DenseMtx_writeForHumanEye·(·DenseMtx·*mtx,·FILE·*fp·)·;\xd
263 ··················This·method·writes·a·DenseMtx·object·to·a·file·in·an·easily·readable·format.\xd263 ··················This·method·writes·a·DenseMtx·object·to·a·file·in·an·easily·readable·format.\xd
264 ··················Error·checking:·If·mtx·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd264 ··················Error·checking:·If·mtx·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
265 ··············8·····························DenseMtx·:·DRAFT·January·7,·2024\xd265 ··············8·····························DenseMtx·:·DRAFT·February·8,·2025\xd
266 ················9.·void·DenseMtx_writeForMatlab·(·DenseMtx·*mtx,·char·*mtxname,·FILE·*fp·)·;\xd266 ················9.·void·DenseMtx_writeForMatlab·(·DenseMtx·*mtx,·char·*mtxname,·FILE·*fp·)·;\xd
267 ···················This·method·writes·out·a·DenseMtx·object·to·a·file·in·a·Matlab·format.·A·sample·line·is\xd267 ···················This·method·writes·out·a·DenseMtx·object·to·a·file·in·a·Matlab·format.·A·sample·line·is\xd
268 ···················a(10,5)·=·-1.550328201511e-01·+···1.848033378871e+00*i·;\xd268 ···················a(10,5)·=·-1.550328201511e-01·+···1.848033378871e+00*i·;\xd
269 ···················for·complex·matrices,·or\xd269 ···················for·complex·matrices,·or\xd
270 ···················a(10,5)·=·-1.550328201511e-01·;\xd270 ···················a(10,5)·=·-1.550328201511e-01·;\xd
271 ···················for·real·matrices,·where·mtxname·=·"a".·The·matrix·indices·come·from·the·rowind[]·and·colind[]\xd271 ···················for·real·matrices,·where·mtxname·=·"a".·The·matrix·indices·come·from·the·rowind[]·and·colind[]\xd
272 ···················vectors,·and·are·incremented·by·one·to·follow·the·Matlab·and·FORTRAN·convention.\xd272 ···················vectors,·and·are·incremented·by·one·to·follow·the·Matlab·and·FORTRAN·convention.\xd
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1733 dup·114·/r·put1734 dup·114·/r·put
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Offset 15, 15 lines modifiedOffset 15, 15 lines modified
15 ··············double·mean·:·mean·for·a·normal·distribution\xd15 ··············double·mean·:·mean·for·a·normal·distribution\xd
16 ··············double·sigma·:·variation·for·a·normal·distribution\xd16 ··············double·sigma·:·variation·for·a·normal·distribution\xd
17 ··············int·mode:·mode·of·the·object,·uniform·is·1,·normal·is·2\xd17 ··············int·mode:·mode·of·the·object,·uniform·is·1,·normal·is·2\xd
18 ···········1.2··Prototypes·and·descriptions·of·Drand·methods\xd18 ···········1.2··Prototypes·and·descriptions·of·Drand·methods\xd
19 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd19 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
20 ···········Drand·object.\xd20 ···········Drand·object.\xd
21 ·············································1\xd21 ·············································1\xd
22 ··············2····························Drand·:·DRAFT·January·7,·2024\xd22 ··············2····························Drand·:·DRAFT·February·8,·2025\xd
23 ··············1.2.1··Basic·methods\xd23 ··············1.2.1··Basic·methods\xd
24 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd24 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
25 ··············any·allocated·data,·and·free’ing·the·object.\xd25 ··············any·allocated·data,·and·free’ing·the·object.\xd
26 ················1.·Drand·*·Drand_new·(·void·)·;\xd26 ················1.·Drand·*·Drand_new·(·void·)·;\xd
27 ···················This·method·simply·allocates·storage·for·the·Drand·structure·and·then·sets·the·default·fields\xd27 ···················This·method·simply·allocates·storage·for·the·Drand·structure·and·then·sets·the·default·fields\xd
28 ···················by·a·call·to·Drand·setDefaultFields().\xd28 ···················by·a·call·to·Drand·setDefaultFields().\xd
29 ················2.·void·Drand_setDefaultFields·(·Drand·*drand·)·;\xd29 ················2.·void·Drand_setDefaultFields·(·Drand·*drand·)·;\xd
Offset 47, 15 lines modifiedOffset 47, 15 lines modified
47 ················1.·void·Drand_init·(·Drand·*drand·)·;\xd47 ················1.·void·Drand_init·(·Drand·*drand·)·;\xd
48 ···················This·initializer·simply·sets·the·default·fields·with·a·call·to·Drand·setDefaultFields().\xd48 ···················This·initializer·simply·sets·the·default·fields·with·a·call·to·Drand·setDefaultFields().\xd
49 ···················Error·checking:·If·drand·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd49 ···················Error·checking:·If·drand·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
50 ················2.·void·Drand_setSeed·(·Drand·*drand,·int·seed1·)·;\xd50 ················2.·void·Drand_setSeed·(·Drand·*drand,·int·seed1·)·;\xd
51 ···················This·method·sets·the·random·number·seeds·using·a·single·input·seed.\xd51 ···················This·method·sets·the·random·number·seeds·using·a·single·input·seed.\xd
52 ···················Error·checking:·If·drand·is·NULL,·or·if·seed1··0,·or·if·seed1··2147483563,·an·error·message\xd52 ···················Error·checking:·If·drand·is·NULL,·or·if·seed1··0,·or·if·seed1··2147483563,·an·error·message\xd
53 ···················is·printed·and·the·program·exits.\xd53 ···················is·printed·and·the·program·exits.\xd
54 ······································Drand·:·DRAFT···January·7,·2024····················3\xd54 ······································Drand·:·DRAFT··February·8,·2025····················3\xd
55 ···············3.·void·Drand_setSeeds·(·Drand·*drand,·int·seed1,·int·seed2·)·;\xd55 ···············3.·void·Drand_setSeeds·(·Drand·*drand,·int·seed1,·int·seed2·)·;\xd
56 ·················This·method·sets·the·random·number·seeds·using·two·input·seeds.\xd56 ·················This·method·sets·the·random·number·seeds·using·two·input·seeds.\xd
57 ·················Error·checking:·If·drand·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd57 ·················Error·checking:·If·drand·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
58 ·················Error·checking:·If·drand·is·NULL,·or·if·seed1··0,·or·if·seed1··2147483563,·or·if·seed2··0,\xd58 ·················Error·checking:·If·drand·is·NULL,·or·if·seed1··0,·or·if·seed1··2147483563,·or·if·seed2··0,\xd
59 ·················or·if·seed2··2147483399,·an·error·message·is·printed·and·the·program·exits.\xd59 ·················or·if·seed2··2147483399,·an·error·message·is·printed·and·the·program·exits.\xd
60 ···············4.·void·Drand_setNormal·(·Drand·*drand,·double·mean,·double·sigma·)·;\xd60 ···············4.·void·Drand_setNormal·(·Drand·*drand,·double·mean,·double·sigma·)·;\xd
61 ·················This·method·sets·the·mode·to·be·a·normal·distribution·with·mean·mean·and·variation·sigma.\xd61 ·················This·method·sets·the·mode·to·be·a·normal·distribution·with·mean·mean·and·variation·sigma.\xd
Offset 79, 15 lines modifiedOffset 79, 15 lines modified
79 ·················program·exits.\xd79 ·················program·exits.\xd
80 ···············4.·void·Drand_fillIvector·(·Drand·*drand,·int·n,·int·vec[]·)·;\xd80 ···············4.·void·Drand_fillIvector·(·Drand·*drand,·int·n,·int·vec[]·)·;\xd
81 ·················This·method·fills·vec[]·with·n·int·random·numbers.\xd81 ·················This·method·fills·vec[]·with·n·int·random·numbers.\xd
82 ·················Error·checking:·If·drand·or·vec·are·NULL·or·if·n·<·0·,·an·error·message·is·printed·and·the\xd82 ·················Error·checking:·If·drand·or·vec·are·NULL·or·if·n·<·0·,·an·error·message·is·printed·and·the\xd
83 ·················program·exits.\xd83 ·················program·exits.\xd
84 ············1.3···Driver·programs·for·the·Drand·object\xd84 ············1.3···Driver·programs·for·the·Drand·object\xd
85 ············This·section·contains·brief·descriptions·of·the·driver·programs.\xd85 ············This·section·contains·brief·descriptions·of·the·driver·programs.\xd
86 ·······4··············Drand·:·DRAFT·January·7,·2024\xd86 ·······4··············Drand·:·DRAFT·February·8,·2025\xd
87 ········1.·testDrand·msglvl·msgFile·distribution·param1·param2·seed1·seed2·n\xd87 ········1.·testDrand·msglvl·msgFile·distribution·param1·param2·seed1·seed2·n\xd
88 ··········This·driver·program·test·the·Drand·random·number·generator.\xd88 ··········This·driver·program·test·the·Drand·random·number·generator.\xd
89 ············The·msglvl·parameter·determines·the·amount·of·output.\xd89 ············The·msglvl·parameter·determines·the·amount·of·output.\xd
90 ············The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd90 ············The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
91 ············message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd91 ············message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd
92 ············data.\xd92 ············data.\xd
93 ············The·distribution·parameter·specifies·the·mode·of·the·object.·If·1,·the·distribution·is\xd93 ············The·distribution·parameter·specifies·the·mode·of·the·object.·If·1,·the·distribution·is\xd
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./usr/share/doc/spooles-doc/EGraph.ps.gz
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EGraph.ps
    
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23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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Offset 21, 15 lines modifiedOffset 21, 15 lines modified
21 ··············int·nvtx·:·number·of·vertices·in·the·graph\xd21 ··············int·nvtx·:·number·of·vertices·in·the·graph\xd
22 ··············IVL·*adjIVL·:·pointer·to·a·IVL·structure·that·holds·the·vertex·lists·for·the·elements.\xd22 ··············IVL·*adjIVL·:·pointer·to·a·IVL·structure·that·holds·the·vertex·lists·for·the·elements.\xd
23 ··············int·*vwghts·:·when·type·=·1,·vwghts·points·to·an·int·vector·of·size·nvtx·that·holds·the\xd23 ··············int·*vwghts·:·when·type·=·1,·vwghts·points·to·an·int·vector·of·size·nvtx·that·holds·the\xd
24 ···············node·weights.\xd24 ···············node·weights.\xd
25 ···········A·correctly·initialized·and·nontrivial·EGraph·object·will·have·positive·nelem·and·nvtx·values,·a\xd25 ···········A·correctly·initialized·and·nontrivial·EGraph·object·will·have·positive·nelem·and·nvtx·values,·a\xd
26 ···········valid·adjIVL·field.·If·type·=·1,·the·vwghts·will·be·non-NULL.\xd26 ···········valid·adjIVL·field.·If·type·=·1,·the·vwghts·will·be·non-NULL.\xd
27 ·············································1\xd27 ·············································1\xd
28 ··············2····························EGraph·:·DRAFT·January·7,·2024\xd28 ··············2···························EGraph·:·DRAFT·February·8,·2025\xd
29 ··············1.2···Prototypes·and·descriptions·of·EGraph·methods\xd29 ··············1.2···Prototypes·and·descriptions·of·EGraph·methods\xd
30 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd30 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
31 ··············EGraph·object.\xd31 ··············EGraph·object.\xd
32 ··············1.2.1··Basic·methods\xd32 ··············1.2.1··Basic·methods\xd
33 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd33 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
34 ··············any·allocated·data,·and·free’ing·the·object.\xd34 ··············any·allocated·data,·and·free’ing·the·object.\xd
35 ················1.·EGraph·*·EGraph_new·(·void·)·;\xd35 ················1.·EGraph·*·EGraph_new·(·void·)·;\xd
Offset 55, 15 lines modifiedOffset 55, 15 lines modified
55 ···················This·method·initializes·an·EGraph·object·given·the·type·of·vertices,·number·of·elements,\xd55 ···················This·method·initializes·an·EGraph·object·given·the·type·of·vertices,·number·of·elements,\xd
56 ···················number·of·vertices,·and·storage·type·for·the·IVL·element·list·object.·It·then·clears·any\xd56 ···················number·of·vertices,·and·storage·type·for·the·IVL·element·list·object.·It·then·clears·any\xd
57 ···················previous·data·with·a·call·to·EGraph·clearData().·The·IVL·object·is·initialized·by·a·call\xd57 ···················previous·data·with·a·call·to·EGraph·clearData().·The·IVL·object·is·initialized·by·a·call\xd
58 ···················to·IVL·init1().·If·type·=·1,·the·vwghts·is·initialized·via·a·call·to·IVinit().·See·the·IVL\xd58 ···················to·IVL·init1().·If·type·=·1,·the·vwghts·is·initialized·via·a·call·to·IVinit().·See·the·IVL\xd
59 ···················object·for·a·description·of·the·IVL·type·parameter.\xd59 ···················object·for·a·description·of·the·IVL·type·parameter.\xd
60 ···················Error·checking:·If·egraph·is·NULL·or·type·is·not·zero·or·one,·or·if·either·nelem·or·nvtx·are\xd60 ···················Error·checking:·If·egraph·is·NULL·or·type·is·not·zero·or·one,·or·if·either·nelem·or·nvtx·are\xd
61 ···················nonpositive,·an·error·message·is·printed·and·the·program·exits.\xd61 ···················nonpositive,·an·error·message·is·printed·and·the·program·exits.\xd
62 ······································EGraph·:·DRAFT··January·7,·2024····················3\xd62 ·····································EGraph·:·DRAFT···February·8,·2025···················3\xd
63 ············1.2.3··Utility·methods\xd63 ············1.2.3··Utility·methods\xd
64 ···············1.·Graph·EGraph_mkAdjGraph·(·EGraph·*egraph·)·;\xd64 ···············1.·Graph·EGraph_mkAdjGraph·(·EGraph·*egraph·)·;\xd
65 ·················This·method·creates·and·returns·a·Graph·object·with·vertex·adjacency·lists·from·the·element\xd65 ·················This·method·creates·and·returns·a·Graph·object·with·vertex·adjacency·lists·from·the·element\xd
66 ·················graph·object.\xd66 ·················graph·object.\xd
67 ·················Error·checking:·If·egraph·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd67 ·················Error·checking:·If·egraph·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
68 ···············2.·EGraph·*·EGraph_make9P·(·int·n1,·int·n2,·int·ncomp·)·;\xd68 ···············2.·EGraph·*·EGraph_make9P·(·int·n1,·int·n2,·int·ncomp·)·;\xd
69 ·················This·method·creates·and·returns·a·EGraph·object·for·a·n1·×·n2·grid·for·a·9-point·operator\xd69 ·················This·method·creates·and·returns·a·EGraph·object·for·a·n1·×·n2·grid·for·a·9-point·operator\xd
Offset 92, 15 lines modifiedOffset 92, 15 lines modified
92 ·················This·method·reads·in·an·EGraph·object·from·a·formatted·file.·If·there·are·no·errors·in·reading\xd92 ·················This·method·reads·in·an·EGraph·object·from·a·formatted·file.·If·there·are·no·errors·in·reading\xd
93 ·················the·data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd93 ·················the·data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd
94 ·················Error·checking:·If·egraph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd94 ·················Error·checking:·If·egraph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
95 ···············3.·int·EGraph_readFromBinaryFile·(·EGraph·*egraph,·FILE·*fp·)·;\xd95 ···············3.·int·EGraph_readFromBinaryFile·(·EGraph·*egraph,·FILE·*fp·)·;\xd
96 ·················This·method·reads·in·an·EGraph·object·from·a·binary·file.·If·there·are·no·errors·in·reading\xd96 ·················This·method·reads·in·an·EGraph·object·from·a·binary·file.·If·there·are·no·errors·in·reading\xd
97 ·················the·data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd97 ·················the·data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd
98 ·················Error·checking:·If·egraph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd98 ·················Error·checking:·If·egraph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
99 ···········4······················EGraph·:·DRAFT·January·7,·2024\xd99 ···········4······················EGraph·:·DRAFT·February·8,·2025\xd
100 ·············4.·int·EGraph_writeToFile·(·EGraph·*egraph,·char·*fn·)·;\xd100 ·············4.·int·EGraph_writeToFile·(·EGraph·*egraph,·char·*fn·)·;\xd
101 ···············This·method·writes·an·EGraph·object·to·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,\xd101 ···············This·method·writes·an·EGraph·object·to·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,\xd
102 ···············it·then·calls·EGraph·writeFromFormattedFile()or·EGraph·writeFromBinaryFile(),closes\xd102 ···············it·then·calls·EGraph·writeFromFormattedFile()or·EGraph·writeFromBinaryFile(),closes\xd
103 ···············the·file·and·returns·the·value·returned·from·the·called·routine.\xd103 ···············the·file·and·returns·the·value·returned·from·the·called·routine.\xd
104 ···············Error·checking:·If·egraph·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.egraphf·(for·a\xd104 ···············Error·checking:·If·egraph·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.egraphf·(for·a\xd
105 ···············formatted·file)·or·*.egraphb·(for·a·binary·file),·an·error·message·is·printed·and·the·method\xd105 ···············formatted·file)·or·*.egraphb·(for·a·binary·file),·an·error·message·is·printed·and·the·method\xd
106 ···············returns·zero.\xd106 ···············returns·zero.\xd
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128 ···············binary·files·and·vice·versa.·One·can·also·read·in·a·EGraph·file·and·print·out·just·the·header\xd128 ···············binary·files·and·vice·versa.·One·can·also·read·in·a·EGraph·file·and·print·out·just·the·header\xd
129 ···············information·(see·the·EGraph·writeStats()·method).\xd129 ···············information·(see·the·EGraph·writeStats()·method).\xd
130 ··················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd130 ··················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd
131 ···················the·EGraph·object·is·written·to·the·message·file.\xd131 ···················the·EGraph·object·is·written·to·the·message·file.\xd
132 ··················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd132 ··················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
133 ···················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd133 ···················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd
134 ···················data.\xd134 ···················data.\xd
135 ······································EGraph·:·DRAFT··January·7,·2024····················5\xd135 ·····································EGraph·:·DRAFT···February·8,·2025···················5\xd
136 ····················The·inFile·parameter·is·the·input·file·for·the·EGraph·object.·It·must·be·of·the·form\xd136 ····················The·inFile·parameter·is·the·input·file·for·the·EGraph·object.·It·must·be·of·the·form\xd
137 ·····················*.egraphfor*.egraphb.·TheEGraphobjectisreadfromthefileviatheEGraph·readFromFile()\xd137 ·····················*.egraphfor*.egraphb.·TheEGraphobjectisreadfromthefileviatheEGraph·readFromFile()\xd
138 ·····················method.\xd138 ·····················method.\xd
139 ····················The·outFileparameter·is·the·output·file·for·the·EGraph·object.·If·outFile·is·none·then\xd139 ····················The·outFileparameter·is·the·output·file·for·the·EGraph·object.·If·outFile·is·none·then\xd
140 ·····················the·EGraphobject·is·not·written·to·a·file.·Otherwise,·the·EGraph·writeToFile()method\xd140 ·····················the·EGraphobject·is·not·written·to·a·file.·Otherwise,·the·EGraph·writeToFile()method\xd
141 ·····················is·called·to·write·the·object·to·a·formatted·file·(if·outFile·is·of·the·form·*.egraphf),\xd141 ·····················is·called·to·write·the·object·to·a·formatted·file·(if·outFile·is·of·the·form·*.egraphf),\xd
142 ·····················or·a·binary·file·(if·outFile·is·of·the·form·*.egraphb).\xd142 ·····················or·a·binary·file·(if·outFile·is·of·the·form·*.egraphb).\xd
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166 ·····················data.\xd166 ·····················data.\xd
167 ····················n1·is·the·number·of·grid·points·in·the·first·direction,·must·be·greater·than·one.\xd167 ····················n1·is·the·number·of·grid·points·in·the·first·direction,·must·be·greater·than·one.\xd
168 ····················n2·is·the·number·of·grid·points·in·the·second·direction,·must·be·greater·than·one.\xd168 ····················n2·is·the·number·of·grid·points·in·the·second·direction,·must·be·greater·than·one.\xd
169 ····················n3·is·the·number·of·grid·points·in·the·third·direction,·must·be·greater·than·or·equal·to\xd169 ····················n3·is·the·number·of·grid·points·in·the·third·direction,·must·be·greater·than·or·equal·to\xd
170 ·····················one.\xd170 ·····················one.\xd
171 ····················ncomp·is·the·number·of·components·(i.e.,·the·number·of·degrees·of·freedom)·at·each·grid\xd171 ····················ncomp·is·the·number·of·components·(i.e.,·the·number·of·degrees·of·freedom)·at·each·grid\xd
172 ·····················point,·must·be·greater·than·or·equal·to·one.\xd172 ·····················point,·must·be·greater·than·or·equal·to·one.\xd
173 ·······6··············EGraph·:·DRAFT·January·7,·2024\xd173 ·······6··············EGraph·:·DRAFT·February·8,·2025\xd
174 ············TheoutEGraphFileparameteristheoutputfilefortheEGraphobject.·IfoutEGraphFile\xd174 ············TheoutEGraphFileparameteristheoutputfilefortheEGraphobject.·IfoutEGraphFile\xd
175 ············is·nonethentheEGraphobjectisnotwrittentoafile.·Otherwise,theEGraph·writeToFile()\xd175 ············is·nonethentheEGraphobjectisnotwrittentoafile.·Otherwise,theEGraph·writeToFile()\xd
176 ············method·is·called·to·write·the·object·to·a·formatted·file·(if·outEGraphFile·is·of·the·form\xd176 ············method·is·called·to·write·the·object·to·a·formatted·file·(if·outEGraphFile·is·of·the·form\xd
177 ············*.egraphf),·or·a·binary·file·(if·outEGraphFile·is·of·the·form·*.egraphb).\xd177 ············*.egraphf),·or·a·binary·file·(if·outEGraphFile·is·of·the·form·*.egraphb).\xd
178 ·······Index\xd178 ·······Index\xd
179 ·······EGraph·clearData(),·2\xd179 ·······EGraph·clearData(),·2\xd
180 ·······EGraph·free(),·2\xd180 ·······EGraph·free(),·2\xd
104 KB
./usr/share/doc/spooles-doc/ETree.ps.gz
104 KB
ETree.ps
    
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23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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Offset 21, 15 lines modifiedOffset 21, 15 lines modified
21 ···············int·nfront·:·number·of·fronts·in·the·tree\xd21 ···············int·nfront·:·number·of·fronts·in·the·tree\xd
22 ···············int·nvtx·:·number·of·vertices·in·the·tree\xd22 ···············int·nvtx·:·number·of·vertices·in·the·tree\xd
23 ···············Tree·*tree·:·pointer·to·a·Tree·structure\xd23 ···············Tree·*tree·:·pointer·to·a·Tree·structure\xd
24 ···············IV·*nodwghtsIV·:·pointer·to·an·IV·object·to·hold·front·weights,·size·nfront\xd24 ···············IV·*nodwghtsIV·:·pointer·to·an·IV·object·to·hold·front·weights,·size·nfront\xd
25 ···············IV·*bndwghtsIV·:·pointer·to·an·IV·object·to·hold·the·weights·of·the·fronts’·boundaries,·size\xd25 ···············IV·*bndwghtsIV·:·pointer·to·an·IV·object·to·hold·the·weights·of·the·fronts’·boundaries,·size\xd
26 ···············nfront\xd26 ···············nfront\xd
27 ·············································1\xd27 ·············································1\xd
28 ··············2····························ETree·:·DRAFT·January·7,·2024\xd28 ··············2····························ETree·:·DRAFT·February·8,·2025\xd
29 ··················IV·*vtxToFrontIV·:·pointer·to·an·IV·object·to·hold·the·map·from·vertices·to·fronts,·size\xd29 ··················IV·*vtxToFrontIV·:·pointer·to·an·IV·object·to·hold·the·map·from·vertices·to·fronts,·size\xd
30 ··················nfront\xd30 ··················nfront\xd
31 ··············A·correctly·initialized·and·nontrivial·ETree·object·will·have·positive·nfront·and·nvtx·values,·a\xd31 ··············A·correctly·initialized·and·nontrivial·ETree·object·will·have·positive·nfront·and·nvtx·values,·a\xd
32 ··············valid·tree·field·and·non-NULL·nodwghtsIV,·bndwghtsIV·and·vtxToFrontIV·pointers.\xd32 ··············valid·tree·field·and·non-NULL·nodwghtsIV,·bndwghtsIV·and·vtxToFrontIV·pointers.\xd
33 ··············1.2···Prototypes·and·descriptions·of·ETree·methods\xd33 ··············1.2···Prototypes·and·descriptions·of·ETree·methods\xd
34 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd34 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
35 ··············ETree·object.\xd35 ··············ETree·object.\xd
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53 ··················This·method·releases·any·storage·by·a·call·to·ETree·clearData()·then·free’s·the·storage·for\xd53 ··················This·method·releases·any·storage·by·a·call·to·ETree·clearData()·then·free’s·the·storage·for\xd
54 ··················the·structure·with·a·call·to·free().\xd54 ··················the·structure·with·a·call·to·free().\xd
55 ··················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd55 ··················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
56 ··············1.2.2··Instance·methods\xd56 ··············1.2.2··Instance·methods\xd
57 ················1.·int·ETree_nfront·(·ETree·*etree·)·;\xd57 ················1.·int·ETree_nfront·(·ETree·*etree·)·;\xd
58 ··················This·method·returns·the·number·of·fronts.\xd58 ··················This·method·returns·the·number·of·fronts.\xd
59 ··················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd59 ··················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
60 ·············································ETree·:·DRAFT·····January·7,·2024··························3\xd60 ············································ETree·:·DRAFT·····February·8,·2025··························3\xd
61 ·················2.·int·ETree_nvtx·(·ETree·*etree·)·;\xd61 ·················2.·int·ETree_nvtx·(·ETree·*etree·)·;\xd
62 ····················This·method·returns·the·number·of·vertices.\xd62 ····················This·method·returns·the·number·of·vertices.\xd
63 ····················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd63 ····················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
64 ·················3.·Tree·*·ETree_tree·(·ETree·*etree·)·;\xd64 ·················3.·Tree·*·ETree_tree·(·ETree·*etree·)·;\xd
65 ····················This·method·returns·a·pointer·to·the·Tree·object.\xd65 ····················This·method·returns·a·pointer·to·the·Tree·object.\xd
66 ····················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd66 ····················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
67 ·················4.·int··ETree_root·(·ETree·*etree·)·;\xd67 ·················4.·int··ETree_root·(·ETree·*etree·)·;\xd
Offset 86, 15 lines modifiedOffset 86, 15 lines modified
86 ·················9.·int·*·ETree_nodwghts·(·ETree·*etree·)·;\xd86 ·················9.·int·*·ETree_nodwghts·(·ETree·*etree·)·;\xd
87 ····················This·method·returns·a·pointer·to·the·nodwghts·vector.\xd87 ····················This·method·returns·a·pointer·to·the·nodwghts·vector.\xd
88 ····················Error·checking:·If·etree·or·etree->nodwghtsIV·is·NULL,·an·error·message·is·printed·and·the\xd88 ····················Error·checking:·If·etree·or·etree->nodwghtsIV·is·NULL,·an·error·message·is·printed·and·the\xd
89 ····················program·exits.\xd89 ····················program·exits.\xd
90 ················10.·IV·*·ETree_bndwghtsIV·(·ETree·*etree·)·;\xd90 ················10.·IV·*·ETree_bndwghtsIV·(·ETree·*etree·)·;\xd
91 ····················This·method·returns·a·pointer·to·the·bndwghtsIV·object.\xd91 ····················This·method·returns·a·pointer·to·the·bndwghtsIV·object.\xd
92 ····················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd92 ····················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
93 ··············4····························ETree·:·DRAFT·January·7,·2024\xd93 ··············4····························ETree·:·DRAFT·February·8,·2025\xd
94 ···············11.·int·*·ETree_bndwghts·(·ETree·*etree·)·;\xd94 ···············11.·int·*·ETree_bndwghts·(·ETree·*etree·)·;\xd
95 ··················This·method·returns·a·pointer·to·the·bndwghts·vector.\xd95 ··················This·method·returns·a·pointer·to·the·bndwghts·vector.\xd
96 ··················Error·checking:·If·etree·or·etree->bndwghtsIV·is·NULL,·an·error·message·is·printed·and·the\xd96 ··················Error·checking:·If·etree·or·etree->bndwghtsIV·is·NULL,·an·error·message·is·printed·and·the\xd
97 ··················program·exits.\xd97 ··················program·exits.\xd
98 ···············12.·IV·*·ETree_vtxToFrontIV·(·ETree·*etree·)·;\xd98 ···············12.·IV·*·ETree_vtxToFrontIV·(·ETree·*etree·)·;\xd
99 ··················This·method·returns·a·pointer·to·the·vtxToFrontIV·object.\xd99 ··················This·method·returns·a·pointer·to·the·vtxToFrontIV·object.\xd
100 ··················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd100 ··················Error·checking:·If·etree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
Offset 121, 15 lines modifiedOffset 121, 15 lines modified
121 ··················Error·checking:·If·etree·is·NULL,·or·if·symflag·is·invalid,·an·error·message·is·printed·and·the\xd121 ··················Error·checking:·If·etree·is·NULL,·or·if·symflag·is·invalid,·an·error·message·is·printed·and·the\xd
122 ··················program·exits.\xd122 ··················program·exits.\xd
123 ··············1.2.3··Initializer·methods\xd123 ··············1.2.3··Initializer·methods\xd
124 ··············There·are·four·initializer·methods.\xd124 ··············There·are·four·initializer·methods.\xd
125 ················1.·void·ETree_init1·(·ETree·*etree,·int·nfront,·int·nvtx·)·;\xd125 ················1.·void·ETree_init1·(·ETree·*etree,·int·nfront,·int·nvtx·)·;\xd
126 ··················This·method·initializes·an·ETree·object·given·the·number·of·fronts·and·number·of·vertices.\xd126 ··················This·method·initializes·an·ETree·object·given·the·number·of·fronts·and·number·of·vertices.\xd
127 ··················Anyprevious·data·is·cleared·with·a·call·to·ETree·clearData(),·The·Tree·object·is·initialized\xd127 ··················Anyprevious·data·is·cleared·with·a·call·to·ETree·clearData(),·The·Tree·object·is·initialized\xd
128 ······································ETree·:·DRAFT···January·7,·2024····················5\xd128 ······································ETree·:·DRAFT··February·8,·2025····················5\xd
129 ·················with·a·call·to·Tree·init1().·The·nodwghtsIV,·bndwghtsIV·and·vtxToFrontIV·objects·are\xd129 ·················with·a·call·to·Tree·init1().·The·nodwghtsIV,·bndwghtsIV·and·vtxToFrontIV·objects·are\xd
130 ·················initialized·with·calls·to·IV·init().·The·entries·in·nodwghtsIV·and·bndwghtsIV·are·set·to·0,\xd130 ·················initialized·with·calls·to·IV·init().·The·entries·in·nodwghtsIV·and·bndwghtsIV·are·set·to·0,\xd
131 ·················while·the·entries·in·vtxToFrontIV·are·set·to·-1.\xd131 ·················while·the·entries·in·vtxToFrontIV·are·set·to·-1.\xd
132 ·················Error·checking:·If·etree·is·NULL,·or·if·nfront·is·negative,·or·if·nvtx·<·nfront,·an·error\xd132 ·················Error·checking:·If·etree·is·NULL,·or·if·nfront·is·negative,·or·if·nvtx·<·nfront,·an·error\xd
133 ·················message·is·printed·and·the·program·exits.\xd133 ·················message·is·printed·and·the·program·exits.\xd
134 ···············2.·void·ETree_initFromGraph·(·ETree·*etree,·Graph·*g·)·;\xd134 ···············2.·void·ETree_initFromGraph·(·ETree·*etree,·Graph·*g·)·;\xd
135 ·················This·method·generates·an·elimination·tree·from·a·graph.·The·nodwghtsIV·vector·object·is\xd135 ·················This·method·generates·an·elimination·tree·from·a·graph.·The·nodwghtsIV·vector·object·is\xd
Offset 160, 15 lines modifiedOffset 160, 15 lines modified
160 ·················permutes·to·vertex-to-front·map,·and·returns·an·IV·object·that·contains·the·old-to-new\xd160 ·················permutes·to·vertex-to-front·map,·and·returns·an·IV·object·that·contains·the·old-to-new\xd
161 ·················permutation.\xd161 ·················permutation.\xd
162 ·················Error·checking:·If·etree·is·NULL·or·inETreeFileName·is·“none”,·an·error·message·is·printed\xd162 ·················Error·checking:·If·etree·is·NULL·or·inETreeFileName·is·“none”,·an·error·message·is·printed\xd
163 ·················and·the·program·exits.\xd163 ·················and·the·program·exits.\xd
164 ···············6.·int·ETree_initFromSubtree·(·ETree·*subtree,·IV·*nodeidsIV,·ETree·*etree,·IV·*vtxIV·)·;\xd164 ···············6.·int·ETree_initFromSubtree·(·ETree·*subtree,·IV·*nodeidsIV,·ETree·*etree,·IV·*vtxIV·)·;\xd
165 ·················This·method·initializes·subtree·from·tree·using·the·nodes·of·etree·that·are·found·in\xd165 ·················This·method·initializes·subtree·from·tree·using·the·nodes·of·etree·that·are·found·in\xd
166 ·················nodeidsIV.·The·map·from·nodes·in·subtree·to·nodes·in·etree·is·returned·in·vtxIV.\xd166 ·················nodeidsIV.·The·map·from·nodes·in·subtree·to·nodes·in·etree·is·returned·in·vtxIV.\xd
167 ···············6·······························ETree·:·DRAFT·January·7,·2024\xd167 ···············6·······························ETree·:·DRAFT·February·8,·2025\xd
168 ····················Return·code:···1·for·a·normal·return,·-1·if·subtree·is·NULL,·-2·if·nodeidsIV·is·NULL,·-3·if\xd168 ····················Return·code:···1·for·a·normal·return,·-1·if·subtree·is·NULL,·-2·if·nodeidsIV·is·NULL,·-3·if\xd
169 ····················etree·is·NULL,·-4·if·nodeidsIV·is·invalid,·-5·if·vtxIV·is·NULL.\xd169 ····················etree·is·NULL,·-4·if·nodeidsIV·is·invalid,·-5·if·vtxIV·is·NULL.\xd
170 ···············1.2.4···Utility·methods\xd170 ···············1.2.4···Utility·methods\xd
171 ···············Theutility·methods·return·the·number·of·bytes·taken·by·the·object,·or·the·number·of·factor·indices,\xd171 ···············Theutility·methods·return·the·number·of·bytes·taken·by·the·object,·or·the·number·of·factor·indices,\xd
172 ···············entries·or·operations·required·by·the·object.\xd172 ···············entries·or·operations·required·by·the·object.\xd
173 ··················1.·int·ETree_sizeOf·(·ETree·*etree·)·;\xd173 ··················1.·int·ETree_sizeOf·(·ETree·*etree·)·;\xd
174 ····················This·method·returns·the·number·of·bytes·taken·by·this·object·(which·includes·the·bytes·taken\xd174 ····················This·method·returns·the·number·of·bytes·taken·by·this·object·(which·includes·the·bytes·taken\xd
Offset 195, 15 lines modifiedOffset 195, 15 lines modified
195 ····················Error·checking:·If·etree·or·tree·is·NULL,·or·if·nfront·<·1,·or·if·nvtx·<·1,·or·if·type·or\xd195 ····················Error·checking:·If·etree·or·tree·is·NULL,·or·if·nfront·<·1,·or·if·nvtx·<·1,·or·if·type·or\xd
196 ····················symflag·is·invalid,·an·error·message·is·printed·and·the·program·exits.\xd196 ····················symflag·is·invalid,·an·error·message·is·printed·and·the·program·exits.\xd
197 ··················5.·double·ETree_nFactorEntriesInFront·(·ETree·*etree,·int·symflag,·int·J·)·;\xd197 ··················5.·double·ETree_nFactorEntriesInFront·(·ETree·*etree,·int·symflag,·int·J·)·;\xd
198 ····················ThismethodreturnsthenumberofentriesinfrontJforanLU·factorization.·Thesymflagpa-\xd198 ····················ThismethodreturnsthenumberofentriesinfrontJforanLU·factorization.·Thesymflagpa-\xd
199 ····················rameter·can·be·one·of·SPOOLES·SYMMETRIC,·SPOOLES·HERMITIAN·or·SPOOLES·NONSYMMETRIC.\xd199 ····················rameter·can·be·one·of·SPOOLES·SYMMETRIC,·SPOOLES·HERMITIAN·or·SPOOLES·NONSYMMETRIC.\xd
200 ····················Error·checking:·If·etree·or·tree·is·NULL,·or·if·nfront·<·1,·or·if·symflag·is·invalid,·or·if\xd200 ····················Error·checking:·If·etree·or·tree·is·NULL,·or·if·nfront·<·1,·or·if·symflag·is·invalid,·or·if\xd
201 ····················J·<·0,·or·if·J··nfront,·an·error·message·is·printed·and·the·program·exits.\xd201 ····················J·<·0,·or·if·J··nfront,·an·error·message·is·printed·and·the·program·exits.\xd
202 ······································ETree·:·DRAFT···January·7,·2024····················7\xd202 ······································ETree·:·DRAFT··February·8,·2025····················7\xd
203 ···············6.·double·ETree_nInternalOpsInFront·(·ETree·*etree,·int·type,·int·symflag,·int·J·)·;\xd203 ···············6.·double·ETree_nInternalOpsInFront·(·ETree·*etree,·int·type,·int·symflag,·int·J·)·;\xd
204 ·················ThismethodreturnsthenumberofinternaloperationsperformedbyfrontJonits(1,1),·(2,1),\xd204 ·················ThismethodreturnsthenumberofinternaloperationsperformedbyfrontJonits(1,1),·(2,1),\xd
205 ·················and·(1,2)·blocks·during·a·factorization.·The·type·parameter·can·be·one·of·SPOOLES·REAL\xd205 ·················and·(1,2)·blocks·during·a·factorization.·The·type·parameter·can·be·one·of·SPOOLES·REAL\xd
206 ·················or·SPOOLES·COMPLEX.·symflag·must·be·one·of·SPOOLES·SYMMETRIC,·SPOOLES·HERMITIAN·or\xd206 ·················or·SPOOLES·COMPLEX.·symflag·must·be·one·of·SPOOLES·SYMMETRIC,·SPOOLES·HERMITIAN·or\xd
207 ·················SPOOLES·NONSYMMETRIC.\xd207 ·················SPOOLES·NONSYMMETRIC.\xd
208 ·················Error·checking:·If·etree·or·tree·is·NULL,·or·if·nfront·<·1,·or·if·type·or·symflag·is·invalid,\xd208 ·················Error·checking:·If·etree·or·tree·is·NULL,·or·if·nfront·<·1,·or·if·type·or·symflag·is·invalid,\xd
209 ·················or·if·J·<·0,·or·if·J··nfront,·an·error·message·is·printed·and·the·program·exits.\xd209 ·················or·if·J·<·0,·or·if·J··nfront,·an·error·message·is·printed·and·the·program·exits.\xd
Offset 233, 15 lines modifiedOffset 233, 15 lines modified
233 ·················Error·checking:·If·etree·is·NULL,·or·if·type·or·symflag·is·invalid,·an·error·message·is·printed\xd233 ·················Error·checking:·If·etree·is·NULL,·or·if·type·or·symflag·is·invalid,·an·error·message·is·printed\xd
234 ·················and·the·program·exits.\xd234 ·················and·the·program·exits.\xd
235 ··············11.·ETree·*·ETree_expand·(·ETree·*etree,·IV·*eqmapIV·)·;\xd235 ··············11.·ETree·*·ETree_expand·(·ETree·*etree,·IV·*eqmapIV·)·;\xd
236 ·················This·method·creates·and·returns·an·ETree·object·for·an·uncompressed·graph.·The·map·from\xd236 ·················This·method·creates·and·returns·an·ETree·object·for·an·uncompressed·graph.·The·map·from\xd
237 ·················compressed·vertices·to·uncompressed·vertices·is·found·in·the·eqmapIV·object.\xd237 ·················compressed·vertices·to·uncompressed·vertices·is·found·in·the·eqmapIV·object.\xd
238 ·················Error·checking:·If·etree·or·eqmapIV·is·NULL,·an·error·message·is·printed·and·the·program\xd238 ·················Error·checking:·If·etree·or·eqmapIV·is·NULL,·an·error·message·is·printed·and·the·program\xd
239 ·················exits.\xd239 ·················exits.\xd
240 ··············8····························ETree·:·DRAFT·January·7,·2024\xd240 ··············8····························ETree·:·DRAFT·February·8,·2025\xd
241 ···············12.·ETree·*·ETree_spliceTwoEtrees·(·ETree·*etree0,·Graph·*graph,·IV·*mapIV,·ETree·*etree1·)·;\xd241 ···············12.·ETree·*·ETree_spliceTwoEtrees·(·ETree·*etree0,·Graph·*graph,·IV·*mapIV,·ETree·*etree1·)·;\xd
242 ··················This·method·creates·and·returns·an·ETree·object·that·is·formed·by·splicing·together·two\xd242 ··················This·method·creates·and·returns·an·ETree·object·that·is·formed·by·splicing·together·two\xd
243 ··················front·trees,·etree0·for·the·vertices·the·eliminated·domains,·etree1·for·the·vertices·the·Schur\xd243 ··················front·trees,·etree0·for·the·vertices·the·eliminated·domains,·etree1·for·the·vertices·the·Schur\xd
244 ··················complement.·The·mapIV·object·maps·vertices·to·domains·or·the·Schur·complement··if·the\xd244 ··················complement.·The·mapIV·object·maps·vertices·to·domains·or·the·Schur·complement··if·the\xd
245 ··················entry·is·0,·the·vertex·is·in·the·Schur·complement,·otherwise·it·is·in·a·domain.\xd245 ··················entry·is·0,·the·vertex·is·in·the·Schur·complement,·otherwise·it·is·in·a·domain.\xd
246 ··················Error·checking:·If·etree0,·graph,·mapIV·or·etree1·is·NULL,·an·error·message·is·printed·and\xd246 ··················Error·checking:·If·etree0,·graph,·mapIV·or·etree1·is·NULL,·an·error·message·is·printed·and\xd
247 ··················the·program·exits.\xd247 ··················the·program·exits.\xd
Offset 266, 15 lines modifiedOffset 266, 15 lines modified
266 ················3.·DV·*·ETree_nopsMetric·(·ETree·*etree,·int·type,·int·symflag·)·;\xd266 ················3.·DV·*·ETree_nopsMetric·(·ETree·*etree,·int·type,·int·symflag·)·;\xd
267 ··················AnDVobjectofsize·nfrontis·created·and·returned.·Each·entry·of·the·vector·is·filled·with·the\xd267 ··················AnDVobjectofsize·nfrontis·created·and·returned.·Each·entry·of·the·vector·is·filled·with·the\xd
268 ··················number·of·factor·operations·associated·with·the·corresponding·front.·The·type·parameter\xd268 ··················number·of·factor·operations·associated·with·the·corresponding·front.·The·type·parameter\xd
269 ··················can·be·one·of·SPOOLES·REAL·or·SPOOLES·COMPLEX.·The·symflag·parameter·can·be·one·of\xd269 ··················can·be·one·of·SPOOLES·REAL·or·SPOOLES·COMPLEX.·The·symflag·parameter·can·be·one·of\xd
270 ··················SPOOLES·SYMMETRIC,·SPOOLES·HERMITIAN·or·SPOOLES·NONSYMMETRIC.\xd270 ··················SPOOLES·SYMMETRIC,·SPOOLES·HERMITIAN·or·SPOOLES·NONSYMMETRIC.\xd
271 ··················Error·checking:·If·etree·is·NULL,·or·if·nfront·<·1,·or·if·nvtx·<·1,·or·if·type·or·symflag·is\xd271 ··················Error·checking:·If·etree·is·NULL,·or·if·nfront·<·1,·or·if·nvtx·<·1,·or·if·type·or·symflag·is\xd
272 ··················invalid,·an·error·message·is·printed·and·the·program·exits.\xd272 ··················invalid,·an·error·message·is·printed·and·the·program·exits.\xd
273 ················································ETree·:·DRAFT·······January·7,·2024····························9\xd273 ················································ETree·:·DRAFT······February·8,·2025····························9\xd
274 ···············1.2.6····Compression·methods\xd274 ···············1.2.6····Compression·methods\xd
275 ···············Frequently·an·ETree·object·will·need·to·be·compressed·in·some·manner.·Elimination·trees·usually\xd275 ···············Frequently·an·ETree·object·will·need·to·be·compressed·in·some·manner.·Elimination·trees·usually\xd
276 ···············have·long·chains·of·vertices·at·the·higher·levels,·where·each·chain·of·vertices·corresponds·to·a\xd276 ···············have·long·chains·of·vertices·at·the·higher·levels,·where·each·chain·of·vertices·corresponds·to·a\xd
277 ···············supernode.·Liu’s·generalized·row·envelope·methods·partition·the·vertices·by·longest·chains·[?].·In\xd277 ···············supernode.·Liu’s·generalized·row·envelope·methods·partition·the·vertices·by·longest·chains·[?].·In\xd
278 ···············both·cases,·we·can·construct·a·map·from·each·node·to·a·set·of·nodes·to·define·a·smaller,·more\xd278 ···············both·cases,·we·can·construct·a·map·from·each·node·to·a·set·of·nodes·to·define·a·smaller,·more\xd
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2 ·························into·the·LANCZOS·Block-shifted·Lanczos·Eigensolver\xd2 ·························into·the·LANCZOS·Block-shifted·Lanczos·Eigensolver\xd
3 ··········································Cleve·Ashcraft·······················Jim·Patterson\xd3 ··········································Cleve·Ashcraft·······················Jim·Patterson\xd
4 ····································Boeing·Phantom·Works1················Boeing·Phantom·Works2\xd4 ····································Boeing·Phantom·Works1················Boeing·Phantom·Works2\xd
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6 ···················1P.·O.·Box·24346,·Mail·Stop·7L-22,·Seattle,·Washington·98124,·cleve.ashcraft@boeing.com.·This·research\xd6 ···················1P.·O.·Box·24346,·Mail·Stop·7L-22,·Seattle,·Washington·98124,·cleve.ashcraft@boeing.com.·This·research\xd
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1960 79B470A9E340A6985189FF8B6AF914A6B0ECF93F47903221F95DE894A8F05B051961 79B470A9E340A6985189FF8B6AF914A6B0ECF93F47903221F95DE894A8F05B05
1961 B7D99CD533EC5F931B18E6B39BECF67FA2D6DD1AEC76772B068BE06335A94C051962 B7D99CD533EC5F931B18E6B39BECF67FA2D6DD1AEC76772B068BE06335A94C05
1962 7A4DDEE77B66101DA855C17AC312600370B34E31F5EC3A01300A8EB60B4C97671963 7A4DDEE77B66101DA855C17AC312600370B34E31F5EC3A01300A8EB60B4C9767
1963 1B2FA10DF7E91D3BB34A1B1CE7A0015A57C813E0280D873ADB884400493EF7041964 1B2FA10DF7E91D3BB34A1B1CE7A0015A57C813E0280D873ADB8844004E075961
1964 AAD58B5EC7446C104E35E1BD40C2A5E8212D57F595E78782FF19251B1D373536 
1965 E1A3A3EE00CD97FC5A24DC762E7B137A39BF92FCC32B212DD98F38F58DBF529B 
1966 46E5C4DF7FCC98AF1868EFACE75B457F265EABDBED7B0B4C58B992F2C7447EFE 
1967 FBB747B040B7A00BDD7E6E1A9144C7C2A0B5FE09992FD8372689AC90494273BA 
1968 389E9AEECD921A82778626A823A88C7E731F64A920DF219678972CC33BA79221 
1969 7883F0BED070FA6336715004DE725C4438E0A4431CDB05CA0177BDEA3DFF75DB 
1970 2938B887D7EC2E7CBC13845072C39A1DA383303D39F219ABC7F6E6C99B6A4FC0 
1971 C6F170700D1A58EF5512E64926C123AAF808D1F82B4347D87457E6C42D4F2861 
1972 B15A3EDD23FA95CAE9D32CB9EE6A700CEC2EEA533EEE0F00CA439A37411A466A 
1973 F6C8B4BC37A342DA97BE768416340641DF734271EE332F3763367088C8D2F5D1 
1974 B449959619A4DAD5EE691A62AB98C9BE7746648046A1C58CE843113593A1A10F 
1975 D57F3443B8E9CA5948AC50008389EB42FA4389968616998AD134A8E2E8296CD1 
1976 EBEDAA3EB7C026D5D278CD661DE0C5458BE871894537AAD4DA1263381284D664 
1977 7CBEF442BDA369A70583951C321B8BA376849751840CC1DB0E9AE1BF1EB6A6CD 
1978 5C9CFFE491A29BFBAA81748806C0197CF02738AF64AF426C30A53A94D9761FFD 
1979 4542E058DCC4FF352A96547462BEC1CF81944498557B2EC3573F73FCA516CB9C 
1980 9A5B3FE6ABE533BF2A2174A17D54EBBEC88E48E19DAA19E677B700F7FD327CB7 
1981 B5717878035F4563A565B0C5877B4D56E9A308FD2A369A21AFDF75646FCCF89C 
1982 1B4B20B5D9FFEE1E4B2183516E0EFB339708C1612124983C0F6DFE8E02AFB817 
1983 6107350605A0FB00D54150B01CD30428376450F2DB2FD96D9E404038CBABF963 
1984 3B492FC43496E0A3A5ED18B733EE61E7EAB0BE8B647ADDD37E97C5EFC8D1C19F 
1985 0C6300218C28D632730823BACB3F26FAF7BB98A7FF62650C58BCB592E5A9A9AF 
1986 E994D93E2C5F4074A837774791F0ED09913498CDBBF10E31CFB78E83521726B6 
1987 70810BFFA1D9557FC47D0985BF6D071DA994E75BE261004DD63DCACC9C7EF276 
1988 3B5005F00675A3E389FE768A562BBF82D10A3AA6AB595233B269795A1BCA6BC0 
1989 D82E9DEA5009E56307D4F90DAB366511845328900FBD1D3A0974AAE6F3D0D082 
1990 3381F505FC1C51305685901C412A361DDB496F8457E801D20E3D25CC6B74B90D 
1991 B6188058A129D9C4646C35FCD508D7A84F4902AEF1642A7F54108F9C11F1F670 
1992 E0BB408B74DAEC3DBB23C17E173888F0B7EA4A5CBD3C6E8FC64A347B76C7D10E 
1993 DBE89E59D6967D4DE94BFF96318F25817DDF6455E6D1D0E32964A11900664ED4 
1994 E61B1C1FF2EA65ADBF64D4D3674E1D7628A01AC4CCA30269482D57629A3D147C 
1995 53CBEE45AB05290CEACE60767DE112DC3090980717A65B2CF1A2D12451185DEA 
1996 E2AA14D2E4B196311360C4961E1C45B855BC19E3FEECFA911F7BDBF14B7DC1C5 
1997 3696614AF402D7F10002A0FD428CD3F512D7332578B78E9BD03363A3A9AB86E5 
1998 D03F160D78FCDAF4FD94E2DB85504289B2DDE689C8566FC560703222FB2F7ADE 
1999 8829EF36824644D1F58F9B6F9CC4D65C77D8992BC3E6D5FA072167BCAADC243A 
2000 92C21F9184625753C637BC8752B48C0A7A5930E6B12E464EA00A2533E2F015DB 
2001 7257F5446F13EEA0F658D97529E85837E02D7CC042934230A87EFD5C672A175D 
2002 7988125337794D26B5B0CD8B8F3CDA6D520D4BC9668F66A246BCD2C288F6E00F 
2003 A8FD53180F154405E3DCC11FE918CEB1C3DFD506F0B44BD6A7195089C876914E 
2004 25BBA23A63673677BF4DC8B1198560836501398185AC11761022359013FEEFA6 
2005 8956DED15E9B181183495F49A0DDCA7CCA16F298951229BE8A48409A69D4CFC8 
2006 B160D21C16EFF2A4CE39644D6B0C5E7DC2DED8B473E1DB387551A35BD44CF201 
2007 CDEC173724C0D0EB234ACE2F65133613D70B8509BDE5B7D316F5F2C83E179E52 
2008 D5130535AB7196BEB82E61168C4EE0DF9B7232C7EE88132663A1B1FD272D74E4 
2009 A68047B5F5162045B0EB710084DBFD076808220E6BB24B0014DD4AD3AF7712B1 
2010 68FDBD0A626A5765A7F000B42148BD07DF4DAD4F302889E00CE56E7A0313107C 
2011 194D0AD8C18EA65AFC27663E3F69FE2B050FE41A8C64EA00A57FC06A519CAFA1 
2012 1D9A7603106E65293A1E38D547026691DC7C9C574A515E16304F703F9EF7EA0A 
2013 7A562239C8E4B88E004E16C81277AC968211A08024551E92F38EFF21B2252798 
2014 A5583C23D884CC4951337F0FD9D63398BBCF146F83FAC1B4C12ADE6FC1980088 
2015 A95F8921960ABB4AA44DF2F889B1DB6868314812D0D5649F44FAC3BF85B86115 
2016 5F43C0C200E7D97203DA3FA2992080B970BAFC37A7D095D8E22C07FF206E4CB2 
2017 BF4872A44C911CA31ADB4BBE42E25E058AD13DBE259F46653CC2817BC7282905 
2018 8A826684D82DA9D1C2EFA613C3D4CC1E3E870A097A8C54BCA9F21C63C38B8908 
2019 AF56126552737063C7395D8E9F415E6C748E33019DD43584BC652B70BFFAAD3F 
2020 3A4E9CEF2EDCC0435286C4F1A3EEF60F988B699A14BC349FF636AB5B298B19CE 
2021 B983E63D7F6D489951B8B717355A27FB989E90BE141150B6FAA88AA32C900792 
2022 5613408A42C291CE5C60D88D8118648688CE5B1D1AD4CC2BE2887F2AD6CDACD8 
2023 1BD31C17650283670F8880BEB6FD696679DEA623D020592AEFF17EF7903F01E9 
2024 AB054F45D1DDD4F455A2C4738AF477FBA31084335DDFD9335A4185280EF39A82 
2025 AC94D2854B9C683462C75D10114DEC0263D8AC05A333E173C752592884635EF1 
2026 124932E242F3D56580446A13C9222C70E39ABBDFDD359D0E8A445EF459C5675E 
2027 238BC1F9C8C04ADC6E9927B9E5A1911968F978F0C82C4C1DE5C8F0BBB4AC21A8 
2028 F847186E0A2B51B2B4B16B80209F7A308438F59D8397A22543DFA8A500BE7876 
2029 F88B3EC8B05753F8C6AA99695935FB9A7C9D837B17B447CE7F99CE7809501553 
2030 F2E7529000B6AEB196648E9B33AB730076E7426C097247E12D5DEB2A080F9F24 
 1965 88009C56E0A43A9F2C854AB15BE89F440EA595FC1B79E3B328B583C840EF718E
 1966 EA8EE6B6C64D7325289DCFFBDEE1D1D14B28E009E5ECBF7626D8440C676974C4
 1967 1AFCC4688D674C01A6D8AC619A4A13B1259FC65826315E692F52273D5761C841
 1968 B4D14DBE9F11DCC4AFF9A3309A4AEE4ABFCD80A3ED6EC056A499666D4E637044
 1969 38E6795EACA5B1CCB1C87577CABB7247FFED46CE6ECE2330348701D7987E6B5A
 1970 C673340DE61033E7EBE83890DEFF32BCAE034D5CF098F16F768D9A1BD46465F3
 1971 DAE58EA38E5B582263A7D86B9AD5A0AD75CA7A5A0017FF9530FF80EA907ED3CD
 1972 E05C9AB9209F8DC8447847C16AC02318B17AA985A38B2C77229F5E0E3DA8D1F3
 1973 48D6A7F86D814CCBE85133B3A304AF0A4AA647CD0E2539DFAD9604486DCCFA49
 1974 AC96130D106A8F8387633622C3809400D6E8FF9D60877C743502E4D211CEBF62
 1975 9A6F91045C22D5D20C5FF677D89983D02E5EE26C71A9EAE0E7C52465DA5A149A
 1976 9B731C27EC8366BC3E841C0CAE49A33DE164A857365B17B09CAD121C47A980CB
 1977 C75E1030F6C394EDB46C54B46880D2344127B903FB22684C9CAACE6053DC3BFA
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Offset 23, 15 lines modifiedOffset 23, 15 lines modified
23 ··········are·disjoint.·P·is·a·permutation·matrix.·If·pivoting·is·not·used,·P·is·the·identity.\xd23 ··········are·disjoint.·P·is·a·permutation·matrix.·If·pivoting·is·not·used,·P·is·the·identity.\xd
24 ········2.·(A·+·σB)·=·P(L·+·I)D(I·+·U)QT·for·a·square·nonsymmetric·matrix·A·with·symmetric\xd24 ········2.·(A·+·σB)·=·P(L·+·I)D(I·+·U)QT·for·a·square·nonsymmetric·matrix·A·with·symmetric\xd
25 ··········structure.·D·is·a·diagonal·matrix.·U·is·strictly·upper·triangular.·L·is·strictly·lower·triangular.\xd25 ··········structure.·D·is·a·diagonal·matrix.·U·is·strictly·upper·triangular.·L·is·strictly·lower·triangular.\xd
26 ··········P·and·Q·are·permutation·matrices.·If·pivoting·is·not·used,·P·and·Q·are·the·identity.\xd26 ··········P·and·Q·are·permutation·matrices.·If·pivoting·is·not·used,·P·and·Q·are·the·identity.\xd
27 ········3.·A·=·QR·for·square·or·rectangular·A.·Q·is·an·orthogonal·matrix·that·is·not·explicitly\xd27 ········3.·A·=·QR·for·square·or·rectangular·A.·Q·is·an·orthogonal·matrix·that·is·not·explicitly\xd
28 ··········computed·or·stored.·R·is·upper·triangular.\xd28 ··········computed·or·stored.·R·is·upper·triangular.\xd
29 ·····························1\xd29 ·····························1\xd
30 ············2·························FrontMtx·:·DRAFT·January·7,·2024\xd30 ············2·························FrontMtx·:·DRAFT·February·8,·2025\xd
31 ···············The·factorization·is·performed·using·a·one·dimensional·decomposition·of·the·global·sparse\xd31 ···············The·factorization·is·performed·using·a·one·dimensional·decomposition·of·the·global·sparse\xd
32 ············matrix.·A·typical·front·of·the·matrix·is·found·the·shaded·portion·of·the·figure·below.\xd32 ············matrix.·A·typical·front·of·the·matrix·is·found·the·shaded·portion·of·the·figure·below.\xd
33 ············Afront·is·indivisible,·it·is·found·on·one·processor,·and·one·processor·or·one·thread·is·responsible\xd33 ············Afront·is·indivisible,·it·is·found·on·one·processor,·and·one·processor·or·one·thread·is·responsible\xd
34 ············for·its·internal·computations.·This·is·extremely·important·if·we·want·to·support·pivoting·for\xd34 ············for·its·internal·computations.·This·is·extremely·important·if·we·want·to·support·pivoting·for\xd
35 ············stability,·for·deciding·how·to·choose·the·pivot·elements·in·the·front·requires·continuous·up-to-\xd35 ············stability,·for·deciding·how·to·choose·the·pivot·elements·in·the·front·requires·continuous·up-to-\xd
36 ············date·information·about·all·the·entries·in·the·front.·If·a·front·were·partitioned·among·threads·or\xd36 ············date·information·about·all·the·entries·in·the·front.·If·a·front·were·partitioned·among·threads·or\xd
37 ············processors,·the·cost·of·the·communication·to·select·pivot·elements·would·be·intolerable.\xd37 ············processors,·the·cost·of·the·communication·to·select·pivot·elements·would·be·intolerable.\xd
Offset 56, 15 lines modifiedOffset 56, 15 lines modified
56 ················The·linear·combination·A+σB·is·found·in·a·Pencil·object.\xd56 ················The·linear·combination·A+σB·is·found·in·a·Pencil·object.\xd
57 ················The·ETree·object·contains·the·front·tree·that·governs·the·factorization·and·solve.·Inside\xd57 ················The·ETree·object·contains·the·front·tree·that·governs·the·factorization·and·solve.·Inside\xd
58 ·················this·object·are·the·dimensions·of·each·front·(the·number·of·internal·and·external·rows·and\xd58 ·················this·object·are·the·dimensions·of·each·front·(the·number·of·internal·and·external·rows·and\xd
59 ·················columns),·the·tree·connectivity·of·the·fronts,·and·a·map·from·each·vertex·to·the·front·that\xd59 ·················columns),·the·tree·connectivity·of·the·fronts,·and·a·map·from·each·vertex·to·the·front·that\xd
60 ·················contains·it·as·an·internal·row·and·column.·The·FrontMtx·object·contains·a·pointer·to·an\xd60 ·················contains·it·as·an·internal·row·and·column.·The·FrontMtx·object·contains·a·pointer·to·an\xd
61 ·················ETree·object,·but·it·does·not·modify·the·object,·nor·does·it·own·the·storage·for·the·ETree\xd61 ·················ETree·object,·but·it·does·not·modify·the·object,·nor·does·it·own·the·storage·for·the·ETree\xd
62 ·················object.·Thus·multiple·front·matrices·can·all·point·to·the·same·ETree·object·simultaneously.\xd62 ·················object.·Thus·multiple·front·matrices·can·all·point·to·the·same·ETree·object·simultaneously.\xd
63 ·····································FrontMtx·:·DRAFT···January·7,·2024···················3\xd63 ·····································FrontMtx·:·DRAFT··February·8,·2025···················3\xd
64 ················An·IVL·object·(Integer·Vector·List),·contains·the·symbolic·factorization.·For·each·front,·it\xd64 ················An·IVL·object·(Integer·Vector·List),·contains·the·symbolic·factorization.·For·each·front,·it\xd
65 ·················gives·the·list·of·internal·and·external·rows·and·columns,·used·to·initialize·a·front·prior·to·its\xd65 ·················gives·the·list·of·internal·and·external·rows·and·columns,·used·to·initialize·a·front·prior·to·its\xd
66 ·················factorization.·For·a·factorization·without·pivoting,·this·object·stores·the·index·information\xd66 ·················factorization.·For·a·factorization·without·pivoting,·this·object·stores·the·index·information\xd
67 ·················for·the·factors,·and·so·is·used·during·the·forward·and·backsolves.·For·a·factorization·with\xd67 ·················for·the·factors,·and·so·is·used·during·the·forward·and·backsolves.·For·a·factorization·with\xd
68 ·················pivoting,·the·index·information·for·a·front·may·change,·so·this·object·is·not·used·during·the\xd68 ·················pivoting,·the·index·information·for·a·front·may·change,·so·this·object·is·not·used·during·the\xd
69 ·················solves.·As·for·the·ETree·object,·the·symbolic·factorization·is·neither·modified·or·owned·by\xd69 ·················solves.·As·for·the·ETree·object,·the·symbolic·factorization·is·neither·modified·or·owned·by\xd
70 ·················the·front·matrix·object.\xd70 ·················the·front·matrix·object.\xd
Offset 96, 15 lines modifiedOffset 96, 15 lines modified
96 ·················postponed·data·(when·pivoting·is·enabled)·or·aggregate·data·(in·a·parallel·factorization),·and\xd96 ·················postponed·data·(when·pivoting·is·enabled)·or·aggregate·data·(in·a·parallel·factorization),·and\xd
97 ·················the·factorization·of·the·fully·assembled·front,·take·place·within·the·context·of·this·object.\xd97 ·················the·factorization·of·the·fully·assembled·front,·take·place·within·the·context·of·this·object.\xd
98 ················The·SubMtx·object·is·used·to·store·a·submatrix·of·the·factor·matrices·D,·L·and·U.·Once·a\xd98 ················The·SubMtx·object·is·used·to·store·a·submatrix·of·the·factor·matrices·D,·L·and·U.·Once·a\xd
99 ·················front·is·factored·it·is·split·into·one·or·more·of·these·submatrix·objects.·After·the·factorization\xd99 ·················front·is·factored·it·is·split·into·one·or·more·of·these·submatrix·objects.·After·the·factorization\xd
100 ·················is·complete,·the·data·structures·are·postprocessed·to·yield·submatrices·that·contain·the\xd100 ·················is·complete,·the·data·structures·are·postprocessed·to·yield·submatrices·that·contain·the\xd
101 ·················coupling·between·fronts.·The·working·storage·during·the·solves·is·also·managed·by·SubMtx\xd101 ·················coupling·between·fronts.·The·working·storage·during·the·solves·is·also·managed·by·SubMtx\xd
102 ·················objects.\xd102 ·················objects.\xd
103 ···········4······················FrontMtx·:·DRAFT·January·7,·2024\xd103 ···········4·····················FrontMtx·:·DRAFT·February·8,·2025\xd
104 ···············Each·submatrix·represents·the·coupling·between·two·fronts,·I·and·J.·To·enable·rapid·random\xd104 ···············Each·submatrix·represents·the·coupling·between·two·fronts,·I·and·J.·To·enable·rapid·random\xd
105 ···············access·to·these·submatrices,·we·use·a·I2Ohash·object·that·is·a·hash·table·whose·keys·are·two\xd105 ···············access·to·these·submatrices,·we·use·a·I2Ohash·object·that·is·a·hash·table·whose·keys·are·two\xd
106 ···············integers·and·whose·data·is·a·void·*·pointer.\xd106 ···············integers·and·whose·data·is·a·void·*·pointer.\xd
107 ···············The·set·of·nonzero·submatrices,·i.e.,·the·nonzero·couplings·between·two·fronts,·is·kept·in\xd107 ···············The·set·of·nonzero·submatrices,·i.e.,·the·nonzero·couplings·between·two·fronts,·is·kept·in\xd
108 ···············one·or·two·IVL·objects.·This·information·is·necessary·for·the·factorization·and·forward·and\xd108 ···············one·or·two·IVL·objects.·This·information·is·necessary·for·the·factorization·and·forward·and\xd
109 ···············backsolves.\xd109 ···············backsolves.\xd
110 ···············The·factorization·and·solves·require·lists·of·fronts·and·submatrices·to·manage·assembly·of\xd110 ···············The·factorization·and·solves·require·lists·of·fronts·and·submatrices·to·manage·assembly·of\xd
Offset 131, 15 lines modifiedOffset 131, 15 lines modified
131 ···············int·pivotingflag·:·flag·to·specify·pivoting·for·stability,\xd131 ···············int·pivotingflag·:·flag·to·specify·pivoting·for·stability,\xd
132 ··················SPOOLES·NO·PIVOTING··pivoting·not·used\xd132 ··················SPOOLES·NO·PIVOTING··pivoting·not·used\xd
133 ··················SPOOLES·PIVOTING··pivoting·used\xd133 ··················SPOOLES·PIVOTING··pivoting·used\xd
134 ···············int·sparsityflag·:·flag·to·specify·storage·of·factors.\xd134 ···············int·sparsityflag·:·flag·to·specify·storage·of·factors.\xd
135 ··················0··each·front·is·dense\xd135 ··················0··each·front·is·dense\xd
136 ··················1··a·front·may·be·sparse·due·to·entries·dropped·because·they·are·below·a·drop\xd136 ··················1··a·front·may·be·sparse·due·to·entries·dropped·because·they·are·below·a·drop\xd
137 ···················tolerance.\xd137 ···················tolerance.\xd
138 ·····································FrontMtx·:·DRAFT···January·7,·2024···················5\xd138 ·····································FrontMtx·:·DRAFT··February·8,·2025···················5\xd
139 ················int·dataMode·:·flag·to·specify·data·storage.\xd139 ················int·dataMode·:·flag·to·specify·data·storage.\xd
140 ····················1··one-dimensional,·used·during·the·factorization.\xd140 ····················1··one-dimensional,·used·during·the·factorization.\xd
141 ····················2··two-dimensional,·used·during·the·solves.\xd141 ····················2··two-dimensional,·used·during·the·solves.\xd
142 ················int·nentD·:·number·of·entries·in·D\xd142 ················int·nentD·:·number·of·entries·in·D\xd
143 ················int·nentL·:·number·of·entries·in·L\xd143 ················int·nentL·:·number·of·entries·in·L\xd
144 ················int·nentU·:·number·of·entries·in·U\xd144 ················int·nentU·:·number·of·entries·in·U\xd
145 ················Tree·*tree:·Treeobjectthatholdsthetreeoffronts.·Note,·normallythisisfrontETree->tree,\xd145 ················Tree·*tree:·Treeobjectthatholdsthetreeoffronts.·Note,·normallythisisfrontETree->tree,\xd
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165 ·················used·only·during·a·nonsymmetric·factorization.\xd165 ·················used·only·during·a·nonsymmetric·factorization.\xd
166 ················SubMtx·**p·mtxLNJ·:·a·vector·of·pointers·to·submatrices·in·L·that·are·off·the·block·diagonal,\xd166 ················SubMtx·**p·mtxLNJ·:·a·vector·of·pointers·to·submatrices·in·L·that·are·off·the·block·diagonal,\xd
167 ·················used·only·during·a·nonsymmetric·factorization.\xd167 ·················used·only·during·a·nonsymmetric·factorization.\xd
168 ················I2Ohash·*lowerhash·:·pointer·to·a·I2Ohash·hash·table·for·submatrices·in·L,·used·during\xd168 ················I2Ohash·*lowerhash·:·pointer·to·a·I2Ohash·hash·table·for·submatrices·in·L,·used·during\xd
169 ·················the·solves.\xd169 ·················the·solves.\xd
170 ················I2Ohash·*upperhash·:·pointer·to·a·I2Ohash·hash·table·for·submatrices·in·U,·used·during\xd170 ················I2Ohash·*upperhash·:·pointer·to·a·I2Ohash·hash·table·for·submatrices·in·U,·used·during\xd
171 ·················the·solves.\xd171 ·················the·solves.\xd
172 ···········6······················FrontMtx·:·DRAFT·January·7,·2024\xd172 ···········6·····················FrontMtx·:·DRAFT·February·8,·2025\xd
173 ···············SubMtxManager·*manager·:·pointer·to·an·object·that·manages·the·instances·of·submatrices\xd173 ···············SubMtxManager·*manager·:·pointer·to·an·object·that·manages·the·instances·of·submatrices\xd
174 ···············during·the·factors·and·solves.\xd174 ···············during·the·factors·and·solves.\xd
175 ···············Lock·*lock·:·pointer·to·a·Lock·lock·used·in·a·multithreaded·environment·to·ensure·exlusive\xd175 ···············Lock·*lock·:·pointer·to·a·Lock·lock·used·in·a·multithreaded·environment·to·ensure·exlusive\xd
176 ···············access·while·allocating·storage·in·the·IV·and·IVL·objects.·This·is·not·used·in·a·serial·or·MPI\xd176 ···············access·while·allocating·storage·in·the·IV·and·IVL·objects.·This·is·not·used·in·a·serial·or·MPI\xd
177 ···············environment.\xd177 ···············environment.\xd
178 ···············int·nlocks·:·number·of·times·the·lock·has·been·locked.\xd178 ···············int·nlocks·:·number·of·times·the·lock·has·been·locked.\xd
179 ···············PatchAndGo·*info·:·this·is·a·pointer·to·an·object·that·is·used·by·the·Chv·object·during·the\xd179 ···············PatchAndGo·*info·:·this·is·a·pointer·to·an·object·that·is·used·by·the·Chv·object·during·the\xd
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196 ···············FRONTMTX·IS·1D·MODE(frontmtx)·is·1·if·the·factor·are·still·stored·as·a·one-dimensional·data\xd196 ···············FRONTMTX·IS·1D·MODE(frontmtx)·is·1·if·the·factor·are·still·stored·as·a·one-dimensional·data\xd
197 ···············decomposition·(i.e.,·the·matrix·has·not·yet·been·post-processed),·and·0·otherwise.\xd197 ···············decomposition·(i.e.,·the·matrix·has·not·yet·been·post-processed),·and·0·otherwise.\xd
198 ···············FRONTMTX·IS·2D·MODE(frontmtx)·is·1·if·the·factor·are·stored·as·a·two-dimensional·data\xd198 ···············FRONTMTX·IS·2D·MODE(frontmtx)·is·1·if·the·factor·are·stored·as·a·two-dimensional·data\xd
199 ···············decomposition·(i.e.,·the·matrix·has·been·post-processed),·and·0·otherwise.\xd199 ···············decomposition·(i.e.,·the·matrix·has·been·post-processed),·and·0·otherwise.\xd
200 ···········1.2··Prototypes·and·descriptions·of·FrontMtx·methods\xd200 ···········1.2··Prototypes·and·descriptions·of·FrontMtx·methods\xd
201 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd201 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
202 ···········FrontMtx·object.\xd202 ···········FrontMtx·object.\xd
203 ·····································FrontMtx·:·DRAFT···January·7,·2024···················7\xd203 ·····································FrontMtx·:·DRAFT··February·8,·2025···················7\xd
204 ············1.2.1··Basic·methods\xd204 ············1.2.1··Basic·methods\xd
205 ············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd205 ············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
206 ············any·allocated·data,·and·free’ing·the·object.\xd206 ············any·allocated·data,·and·free’ing·the·object.\xd
207 ···············1.·FrontMtx·*·FrontMtx_new·(·void·)·;\xd207 ···············1.·FrontMtx·*·FrontMtx_new·(·void·)·;\xd
208 ·················This·method·simply·allocates·storage·for·the·FrontMtx·structure·and·then·sets·the·default\xd208 ·················This·method·simply·allocates·storage·for·the·FrontMtx·structure·and·then·sets·the·default\xd
209 ·················fields·by·a·call·to·FrontMtx·setDefaultFields().\xd209 ·················fields·by·a·call·to·FrontMtx·setDefaultFields().\xd
210 ···············2.·void·FrontMtx_setDefaultFields·(·FrontMtx·*frontmtx·)·;\xd210 ···············2.·void·FrontMtx_setDefaultFields·(·FrontMtx·*frontmtx·)·;\xd
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231 ············1.2.2··Instance·methods\xd231 ············1.2.2··Instance·methods\xd
232 ···············1.·int·FrontMtx_nfront·(·FrontMtx·*frontmtx·)·;\xd232 ···············1.·int·FrontMtx_nfront·(·FrontMtx·*frontmtx·)·;\xd
233 ·················This·method·returns·the·number·of·fronts·in·the·matrix.\xd233 ·················This·method·returns·the·number·of·fronts·in·the·matrix.\xd
234 ·················Error·checking:·If·frontmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd234 ·················Error·checking:·If·frontmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
235 ···············2.·int·FrontMtx_neqns·(·FrontMtx·*frontmtx·)·;\xd235 ···············2.·int·FrontMtx_neqns·(·FrontMtx·*frontmtx·)·;\xd
236 ·················This·method·returns·the·number·of·equations·in·the·matrix.\xd236 ·················This·method·returns·the·number·of·equations·in·the·matrix.\xd
237 ·················Error·checking:·If·frontmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd237 ·················Error·checking:·If·frontmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
238 ···············8······························FrontMtx·:·DRAFT·January·7,·2024\xd238 ···············8······························FrontMtx·:·DRAFT·February·8,·2025\xd
239 ··················3.·Tree·*·FrontMtx_frontTree·(·FrontMtx·*frontmtx·)·;\xd239 ··················3.·Tree·*·FrontMtx_frontTree·(·FrontMtx·*frontmtx·)·;\xd
240 ·····················This·method·returns·the·Tree·object·for·the·fronts.\xd240 ·····················This·method·returns·the·Tree·object·for·the·fronts.\xd
241 ·····················Error·checking:·If·frontmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd241 ·····················Error·checking:·If·frontmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
242 ··················4.·void·FrontMtx_initialFrontDimensions·(·FrontMtx·*frontmtx,·int·J,\xd242 ··················4.·void·FrontMtx_initialFrontDimensions·(·FrontMtx·*frontmtx,·int·J,\xd
243 ···················································int·*pnD,·int·*pnL,·int·*pnU,·int·*pnbytes·)·;\xd243 ···················································int·*pnD,·int·*pnL,·int·*pnU,·int·*pnbytes·)·;\xd
244 ·····················This·method·fills·the·four·pointer·arguments·with·the·number·of·internal·rows·and·columns,\xd244 ·····················This·method·fills·the·four·pointer·arguments·with·the·number·of·internal·rows·and·columns,\xd
245 ·····················number·of·rows·in·the·lower·block,·number·of·columns·in·the·upper·block,·and·number·of\xd245 ·····················number·of·rows·in·the·lower·block,·number·of·columns·in·the·upper·block,·and·number·of\xd
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269 ·····················Error·checking:·If·frontmtx,·pnrow·or·pindices·is·NULL,·or·if·J·is·not·in·[0,nfront),·an\xd269 ·····················Error·checking:·If·frontmtx,·pnrow·or·pindices·is·NULL,·or·if·J·is·not·in·[0,nfront),·an\xd
270 ·····················error·message·is·printed·and·the·program·exits.\xd270 ·····················error·message·is·printed·and·the·program·exits.\xd
271 ··················9.·SubMtx·*·FrontMtx_diagMtx·(·FrontMtx·*frontmtx,·int·J·)·;\xd271 ··················9.·SubMtx·*·FrontMtx_diagMtx·(·FrontMtx·*frontmtx,·int·J·)·;\xd
272 ·····················This·method·returns·a·pointer·to·the·object·that·contains·submatrix·D··.\xd272 ·····················This·method·returns·a·pointer·to·the·object·that·contains·submatrix·D··.\xd
273 ··························································································J,J\xd273 ··························································································J,J\xd
274 ·····················Error·checking:·If·frontmtx·is·NULL,·or·if·J·is·not·in·[0,nfront),·an·error·message·is·printed\xd274 ·····················Error·checking:·If·frontmtx·is·NULL,·or·if·J·is·not·in·[0,nfront),·an·error·message·is·printed\xd
275 ·····················and·the·program·exits.\xd275 ·····················and·the·program·exits.\xd
276 ·····································FrontMtx·:·DRAFT···January·7,·2024···················9\xd276 ·····································FrontMtx·:·DRAFT··February·8,·2025···················9\xd
277 ··············10.·SubMtx·*·FrontMtx_upperMtx·(·FrontMtx·*frontmtx,·int·J,·int·K·)·;\xd277 ··············10.·SubMtx·*·FrontMtx_upperMtx·(·FrontMtx·*frontmtx,·int·J,·int·K·)·;\xd
278 ·················This·method·returns·a·pointer·to·the·object·that·contains·submatrix·UJ,K.·If·K·=·nfront,\xd278 ·················This·method·returns·a·pointer·to·the·object·that·contains·submatrix·UJ,K.·If·K·=·nfront,\xd
279 ·················then·the·object·containing·UJ,∂J·is·returned.\xd279 ·················then·the·object·containing·UJ,∂J·is·returned.\xd
280 ·················Error·checking:·If·frontmtx·is·NULL,·or·if·J·is·not·in·[0,nfront),·or·if·K·is·not·in·[0,nfront],\xd280 ·················Error·checking:·If·frontmtx·is·NULL,·or·if·J·is·not·in·[0,nfront),·or·if·K·is·not·in·[0,nfront],\xd
281 ·················an·error·message·is·printed·and·the·program·exits.\xd281 ·················an·error·message·is·printed·and·the·program·exits.\xd
282 ··············11.·SubMtx·*·FrontMtx_lowerMtx·(·FrontMtx·*frontmtx,·int·K,·int·J·)·;\xd282 ··············11.·SubMtx·*·FrontMtx_lowerMtx·(·FrontMtx·*frontmtx,·int·K,·int·J·)·;\xd
283 ·················This·method·returns·a·pointer·to·the·object·that·contains·submatrix·LK,J.·If·K·=·nfront,\xd283 ·················This·method·returns·a·pointer·to·the·object·that·contains·submatrix·LK,J.·If·K·=·nfront,\xd
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1 ·························Ordering·Sparse·Matrices·and·Transforming·Front·Trees\xd1 ·························Ordering·Sparse·Matrices·and·Transforming·Front·Trees\xd
2 ·······························································································\xd2 ·······························································································\xd
3 ··········································Cleve·Ashcraft,·Boeing·Shared·Services·Group\xd3 ··········································Cleve·Ashcraft,·Boeing·Shared·Services·Group\xd
4 ···························································January·7,·2024\xd4 ···························································February·8,·2025\xd
5 ················1·····Introduction\xd5 ················1·····Introduction\xd
6 ················If·the·ultimate·goal·is·to·solve·linear·systems·of·the·form·AX·=·B,·one·must·compute·an·A·=·LDU,\xd6 ················If·the·ultimate·goal·is·to·solve·linear·systems·of·the·form·AX·=·B,·one·must·compute·an·A·=·LDU,\xd
7 ················A=UTDU·orA=UHDU·factorization,·depending·on·whether·the·matrix·A·is·nonsymmetric,·symmetric\xd7 ················A=UTDU·orA=UHDU·factorization,·depending·on·whether·the·matrix·A·is·nonsymmetric,·symmetric\xd
8 ················or·Hermitian.·D·is·a·diagonal·or·block·diagonal·matrix,·L·is·unit·lower·triangular,·and·U·is·unit·upper\xd8 ················or·Hermitian.·D·is·a·diagonal·or·block·diagonal·matrix,·L·is·unit·lower·triangular,·and·U·is·unit·upper\xd
9 ················triangular.·A·is·sparse,·but·the·sparsity·structure·of·L·and·U·will·likely·be·much·larger·than·that·of·A,\xd9 ················triangular.·A·is·sparse,·but·the·sparsity·structure·of·L·and·U·will·likely·be·much·larger·than·that·of·A,\xd
10 ················i.e.,·they·will·suffer·fill-in.·It·is·crucial·to·find·a·permutation·matrix·such·that·the·factors·of·PAPT·have·as\xd10 ················i.e.,·they·will·suffer·fill-in.·It·is·crucial·to·find·a·permutation·matrix·such·that·the·factors·of·PAPT·have·as\xd
11 ················moderate·fill-in·as·can·be·reasonably·expected.\xd11 ················moderate·fill-in·as·can·be·reasonably·expected.\xd
Offset 35, 15 lines modifiedOffset 35, 15 lines modified
35 ····················Section·2·introduces·some·background·on·sparse·matrix·orderings·and·describes·the·SPOOLES·or-\xd35 ····················Section·2·introduces·some·background·on·sparse·matrix·orderings·and·describes·the·SPOOLES·or-\xd
36 ················dering·software.·Section·3·presents·the·front·tree·object·that·controls·the·factorization,·and·its·various\xd36 ················dering·software.·Section·3·presents·the·front·tree·object·that·controls·the·factorization,·and·its·various\xd
37 ················transformations·to·improve·performance.\xd37 ················transformations·to·improve·performance.\xd
38 ···················∗P.·O.·Box·24346,·Mail·Stop·7L-21,·Seattle,·Washington·98124.·This·research·was·supported·in·part·by·the·DARPA\xd38 ···················∗P.·O.·Box·24346,·Mail·Stop·7L-21,·Seattle,·Washington·98124.·This·research·was·supported·in·part·by·the·DARPA\xd
39 ················Contract·DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software\xd39 ················Contract·DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software\xd
40 ················Support·Initiative.\xd40 ················Support·Initiative.\xd
41 ····································································1\xd41 ····································································1\xd
42 ··············2········Orderings·and·Front·Trees···········································January·7,·2024\xd42 ··············2········Orderings·and·Front·Trees··········································February·8,·2025\xd
43 ··············2····Sparse·matrix·orderings\xd43 ··············2····Sparse·matrix·orderings\xd
44 ··············Thepast·few·years·have·seen·a·resurgence·of·interest·and·accompanying·improvement·in·algorithms·and·soft-\xd44 ··············Thepast·few·years·have·seen·a·resurgence·of·interest·and·accompanying·improvement·in·algorithms·and·soft-\xd
45 ··············ware·to·order·sparse·matrices.·The·minimum·degree·algorithm,·specifically·the·multiple·external·minimum\xd45 ··············ware·to·order·sparse·matrices.·The·minimum·degree·algorithm,·specifically·the·multiple·external·minimum\xd
46 ··············degree·algorithm·[19],·was·the·preferred·algorithm·of·choice·for·the·better·part·of·a·decade.·Alternative·min-\xd46 ··············degree·algorithm·[19],·was·the·preferred·algorithm·of·choice·for·the·better·part·of·a·decade.·Alternative·min-\xd
47 ··············imum·priority·codes·have·recently·pushed·multiple·minimum·degree·aside,·including·approximate·minimum\xd47 ··············imum·priority·codes·have·recently·pushed·multiple·minimum·degree·aside,·including·approximate·minimum\xd
48 ··············degree·[1]·and·approximate·deficiency·[21],·[25].·They·offer·improved·quality·or·improved·run·time,·and·on\xd48 ··············degree·[1]·and·approximate·deficiency·[21],·[25].·They·offer·improved·quality·or·improved·run·time,·and·on\xd
49 ··············occasion,·both.\xd49 ··············occasion,·both.\xd
Offset 81, 15 lines modifiedOffset 81, 15 lines modified
81 ·················One·can·construct·the·IVL·object·directly.·There·are·methods·to·set·the·number·of·lists,·to·set·the·size\xd81 ·················One·can·construct·the·IVL·object·directly.·There·are·methods·to·set·the·number·of·lists,·to·set·the·size\xd
82 ··············of·a·list,·to·copy·entries·in·a·list·into·the·object.·It·resizes·itself·as·necessary.·However,·if·one·already·has\xd82 ··············of·a·list,·to·copy·entries·in·a·list·into·the·object.·It·resizes·itself·as·necessary.·However,·if·one·already·has\xd
83 ··············the·matrix·entries·of·A·stored·in·an·InpMtx·object·(which·is·the·way·that·SPOOLES·deals·with·sparse\xd83 ··············the·matrix·entries·of·A·stored·in·an·InpMtx·object·(which·is·the·way·that·SPOOLES·deals·with·sparse\xd
84 ··············matrices),·there·is·an·easier·way.·One·can·create·an·IVL·object·from·the·InpMtx·object,·as·follows.\xd84 ··············matrices),·there·is·an·easier·way.·One·can·create·an·IVL·object·from·the·InpMtx·object,·as·follows.\xd
85 ··············InpMtx···*A·;\xd85 ··············InpMtx···*A·;\xd
86 ··············IVL······*adjIVL·;\xd86 ··············IVL······*adjIVL·;\xd
87 ··············adjIVL·=·InpMtx_fullAdjacency(A)·;\xd87 ··············adjIVL·=·InpMtx_fullAdjacency(A)·;\xd
88 ·················January·7,·2024······················································Orderings·and·Front·Trees·········3\xd88 ·················February·8,·2025·····················································Orderings·and·Front·Trees·········3\xd
89 ········································Figure·1:·A·3×4·9-point·grid·with·its·adjacency·structure\xd89 ········································Figure·1:·A·3×4·9-point·grid·with·its·adjacency·structure\xd
90 ·················································IVL·:·integer·vector·list·object·:\xd90 ·················································IVL·:·integer·vector·list·object·:\xd
91 ·················································type·1,·chunked·storage\xd91 ·················································type·1,·chunked·storage\xd
92 ·················································12·lists,·12·maximum·lists,·70·tsize,·4240·total·bytes\xd92 ·················································12·lists,·12·maximum·lists,·70·tsize,·4240·total·bytes\xd
93 ·················································1·chunks,·70·active·entries,·1024·allocated,·6.84·%·used\xd93 ·················································1·chunks,·70·active·entries,·1024·allocated,·6.84·%·used\xd
94 ·····················································0·:·0·1·3·4\xd94 ·····················································0·:·0·1·3·4\xd
95 ····························9····10···11·············1·:·0·1·2·3·4·5\xd95 ····························9····10···11·············1·:·0·1·2·3·4·5\xd
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121 ·················This·is·an·initializer·for·the·Graph·object,·one·that·takes·as·input·a·complete·IVL·adjacency·object.·The\xd121 ·················This·is·an·initializer·for·the·Graph·object,·one·that·takes·as·input·a·complete·IVL·adjacency·object.·The\xd
122 ·················0·and·NULL·fields·are·not·applicable·here.·(The·Graph·object·is·sophisticated··it·can·have·weighted·or\xd122 ·················0·and·NULL·fields·are·not·applicable·here.·(The·Graph·object·is·sophisticated··it·can·have·weighted·or\xd
123 ·················unweighted·vertices,·weighted·or·unweighted·edges,·or·both,·and·it·can·have·boundary·vertices.·Neither·is\xd123 ·················unweighted·vertices,·weighted·or·unweighted·edges,·or·both,·and·it·can·have·boundary·vertices.·Neither·is\xd
124 ·················relevant·now.)\xd124 ·················relevant·now.)\xd
125 ·················2.2···Constructing·an·ordering\xd125 ·················2.2···Constructing·an·ordering\xd
126 ·················Once·we·have·a·Graph·object,·we·can·construct·an·ordering.·There·are·four·choices:\xd126 ·················Once·we·have·a·Graph·object,·we·can·construct·an·ordering.·There·are·four·choices:\xd
127 ·····················minimum·degree,·(actually·multiple·external·minimum·degree,·from·[19]),\xd127 ·····················minimum·degree,·(actually·multiple·external·minimum·degree,·from·[19]),\xd
128 ··············4········Orderings·and·Front·Trees··········································January·7,·2024\xd128 ··············4········Orderings·and·Front·Trees·········································February·8,·2025\xd
129 ··················generalized·nested·dissection,\xd129 ··················generalized·nested·dissection,\xd
130 ··················multisection,·and\xd130 ··················multisection,·and\xd
131 ··················the·better·of·generalized·nested·dissection·and·multisection.\xd131 ··················the·better·of·generalized·nested·dissection·and·multisection.\xd
132 ··············Minimum·degree·takes·the·least·amount·of·CPU·time.·Generalized·nested·dissection·and·multisection·both\xd132 ··············Minimum·degree·takes·the·least·amount·of·CPU·time.·Generalized·nested·dissection·and·multisection·both\xd
133 ··············require·the·a·partition·of·the·graph,·which·can·be·much·more·expensive·to·compute·than·a·minimum·degree\xd133 ··············require·the·a·partition·of·the·graph,·which·can·be·much·more·expensive·to·compute·than·a·minimum·degree\xd
134 ··············ordering.·By·and·large,·for·larger·graphs·nested·dissection·generates·better·orderings·than·minimum·degree,\xd134 ··············ordering.·By·and·large,·for·larger·graphs·nested·dissection·generates·better·orderings·than·minimum·degree,\xd
135 ··············and·the·difference·in·quality·increases·as·the·graph·size·increases.·Multisection·is·an·ordering·which·almost\xd135 ··············and·the·difference·in·quality·increases·as·the·graph·size·increases.·Multisection·is·an·ordering·which·almost\xd
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161 ··············etree·=·orderViaBestOfNDandMS(graph,·maxdomainsize,·maxzeros,\xd161 ··············etree·=·orderViaBestOfNDandMS(graph,·maxdomainsize,·maxzeros,\xd
162 ············································maxsize,·seed,·msglvl,·msgFile)·;\xd162 ············································maxsize,·seed,·msglvl,·msgFile)·;\xd
163 ··············Now·let·us·describe·the·different·parameters.\xd163 ··············Now·let·us·describe·the·different·parameters.\xd
164 ··················The·msglvl·and·msgFile·parameters·are·used·to·control·output.·When·msglvl·=·0,·there·is·no\xd164 ··················The·msglvl·and·msgFile·parameters·are·used·to·control·output.·When·msglvl·=·0,·there·is·no\xd
165 ···················output.·When·msglvl·>·0,·output·goes·to·the·msgFile·file.·The·SPOOLES·library·is·a·research\xd165 ···················output.·When·msglvl·>·0,·output·goes·to·the·msgFile·file.·The·SPOOLES·library·is·a·research\xd
166 ···················code,·we·have·left·a·great·deal·of·monitoring·and·debug·code·in·the·software.·Large·values·of·msglvl\xd166 ···················code,·we·have·left·a·great·deal·of·monitoring·and·debug·code·in·the·software.·Large·values·of·msglvl\xd
167 ···················mayresult·in·large·message·files.·To·see·the·statistics·generated·during·the·ordering,·use·msglvl·=·1.\xd167 ···················mayresult·in·large·message·files.·To·see·the·statistics·generated·during·the·ordering,·use·msglvl·=·1.\xd
168 ················January·7,·2024····················································Orderings·and·Front·Trees·········5\xd168 ················February·8,·2025···················································Orderings·and·Front·Trees·········5\xd
169 ····················Theseedparameterisusedasarandomnumberseed.·(Therearemanyplacesinthegraphpartitioning\xd169 ····················Theseedparameterisusedasarandomnumberseed.·(Therearemanyplacesinthegraphpartitioning\xd
170 ······················and·minimum·degree·algorithms·where·randomness·plays·a·part.·Using·a·random·number·seed·ensures\xd170 ······················and·minimum·degree·algorithms·where·randomness·plays·a·part.·Using·a·random·number·seed·ensures\xd
171 ······················repeatability.)\xd171 ······················repeatability.)\xd
172 ····················maxdomainsize·is·used·for·the·nested·dissection·and·multisection·orderings.·This·parameter·is·used\xd172 ····················maxdomainsize·is·used·for·the·nested·dissection·and·multisection·orderings.·This·parameter·is·used\xd
173 ······················during·the·graph·partition.·Any·subgraph·that·is·larger·than·maxdomainsize·is·split.·We·recommend\xd173 ······················during·the·graph·partition.·Any·subgraph·that·is·larger·than·maxdomainsize·is·split.·We·recommend\xd
174 ······················using·a·value·of·neqns/16·or·neqns/32.·Note:·maxdomainsize·must·be·greater·than·zero.\xd174 ······················using·a·value·of·neqns/16·or·neqns/32.·Note:·maxdomainsize·must·be·greater·than·zero.\xd
175 ····················maxzeros·and·maxsize·are·used·to·transform·the·front·tree.·In·effect,·we·have·placed·the·ordering\xd175 ····················maxzeros·and·maxsize·are·used·to·transform·the·front·tree.·In·effect,·we·have·placed·the·ordering\xd
Offset 203, 15 lines modifiedOffset 203, 15 lines modified
203 ··································10102·····4.6·····210364···10651916·····6.2·····211089···10722231\xd203 ··································10102·····4.6·····210364···10651916·····6.2·····211089···10722231\xd
204 ··································10103·····4.6·····215795···11760095·····6.4·····217141···11606103\xd204 ··································10103·····4.6·····215795···11760095·····6.4·····217141···11606103\xd
205 ··································10104·····4.6·····210989···10842091·····6.1·····212828···11168728\xd205 ··································10104·····4.6·····210989···10842091·····6.1·····212828···11168728\xd
206 ··································10105·····4.8·····209201···10335761·····6.1·····210468···10582750\xd206 ··································10105·····4.8·····209201···10335761·····6.1·····210468···10582750\xd
207 ················For·the·nested·dissection·and·multisection·orderings,·we·used·maxdomainsize·=·100.·We·see·that·there·is\xd207 ················For·the·nested·dissection·and·multisection·orderings,·we·used·maxdomainsize·=·100.·We·see·that·there·is\xd
208 ················really·little·difference·in·ordering·quality,·while·the·minimum·degree·ordering·takes·much·less·time·than·the\xd208 ················really·little·difference·in·ordering·quality,·while·the·minimum·degree·ordering·takes·much·less·time·than·the\xd
209 ················other·orderings.\xd209 ················other·orderings.\xd
210 ··············6········Orderings·and·Front·Trees············································January·7,·2024\xd210 ··············6········Orderings·and·Front·Trees···········································February·8,·2025\xd
211 ·················Let·us·now·look·at·a·random·triangulation·of·a·unit·cube.·This·matrix·has·13824·rows·and·columns.\xd211 ·················Let·us·now·look·at·a·random·triangulation·of·a·unit·cube.·This·matrix·has·13824·rows·and·columns.\xd
212 ··············Each·face·of·the·cube·has·a·22×22·regular·grid·of·points.·The·remainder·of·the·vertices·are·placed·in·the\xd212 ··············Each·face·of·the·cube·has·a·22×22·regular·grid·of·points.·The·remainder·of·the·vertices·are·placed·in·the\xd
213 ··············interior·using·quasi-random·points,·and·the·Delauney·triangulation·is·computed.\xd213 ··············interior·using·quasi-random·points,·and·the·Delauney·triangulation·is·computed.\xd
214 ··········································minimum·degree···············nested·dissection\xd214 ··········································minimum·degree···············nested·dissection\xd
215 ······························seed··CPU·#entries·········#ops·CPU·#entries············#ops\xd215 ······························seed··CPU·#entries·········#ops·CPU·#entries············#ops\xd
216 ·····························10101····9.2···5783892··6119141542··27.8···3410222··1921402246\xd216 ·····························10101····9.2···5783892··6119141542··27.8···3410222··1921402246\xd
217 ·····························10102····8.8···5651678··5959584620··31.4···3470063··1998795621\xd217 ·····························10102····8.8···5651678··5959584620··31.4···3470063··1998795621\xd
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245 ··············ETree····*vetree·;\xd245 ··············ETree····*vetree·;\xd
246 ··············int······*newToOld,·*oldToNew·;\xd246 ··············int······*newToOld,·*oldToNew·;\xd
247 ··············Graph····*graph·;\xd247 ··············Graph····*graph·;\xd
248 ··············vetree·=·ETree_new()·;\xd248 ··············vetree·=·ETree_new()·;\xd
249 ··············ETree_initFromGraphWithPerms(vetree,·graph,·newToOld,·oldToNew)·;\xd249 ··············ETree_initFromGraphWithPerms(vetree,·graph,·newToOld,·oldToNew)·;\xd
250 ··············Thevetreeobjectinthecodefragmentaboveisavertex·elimination·tree·[20],·[26],·where·each·front·contains\xd250 ··············Thevetreeobjectinthecodefragmentaboveisavertex·elimination·tree·[20],·[26],·where·each·front·contains\xd
251 ··············one·vertex.\xd251 ··············one·vertex.\xd
252 ·····························January·7,·2024·············································································································Orderings·and·Front·Trees·····································7\xd252 ·····························February·8,·2025············································································································Orderings·and·Front·Trees·····································7\xd
253 ········································································Figure·2:·R2D100:·randomly·triangulated,·100·grid·points\xd253 ········································································Figure·2:·R2D100:·randomly·triangulated,·100·grid·points\xd
254 ·······························································································································48·······49······51·······50······55·······91·······8·······11·······10·······9\xd254 ·······························································································································48·······49······51·······50······55·······91·······8·······11·······10·······9\xd
255 ·············································································································································52\xd255 ·············································································································································52\xd
256 ·······························································································································53··························69······54···········17···························18\xd256 ·······························································································································53··························69······54···········17···························18\xd
257 ···································································································································································67·95\xd257 ···································································································································································67·95\xd
258 ············································································································································70················································19\xd258 ············································································································································70················································19\xd
259 ·······························································································································66····68·······························································5······3\xd259 ·······························································································································66····68·······························································5······3\xd
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300 ·····························tree·[2]·has·these·property:·any·node·in·the·tree·is\xd300 ·····························tree·[2]·has·these·property:·any·node·in·the·tree·is\xd
301 ····································either·a·leaf,\xd301 ····································either·a·leaf,\xd
302 ····································or·has·two·or·more·children,\xd302 ····································or·has·two·or·more·children,\xd
303 ····································or·its·nonzero·structure·is·not·contained·in·that·of·its·one·child.\xd303 ····································or·its·nonzero·structure·is·not·contained·in·that·of·its·one·child.\xd
304 ·····························The·top·tree·in·Figure·4·shows·the·vertex·elimination·tree·with·the·“front”·number·of·each·vertex·superim-\xd304 ·····························The·top·tree·in·Figure·4·shows·the·vertex·elimination·tree·with·the·“front”·number·of·each·vertex·superim-\xd
305 ·····························posed·on·the·vertex.·The·bottom·tree·is·the·fundamental·supernode·tree.·Figure·5·shows·the·block·partition\xd305 ·····························posed·on·the·vertex.·The·bottom·tree·is·the·fundamental·supernode·tree.·Figure·5·shows·the·block·partition\xd
306 ··································1Vertex·j·is·the·parent·of·i·if·j·is·the·first·vertex·greater·than·i·such·that·Lj,i·6=·0.\xd306 ··································1Vertex·j·is·the·parent·of·i·if·j·is·the·first·vertex·greater·than·i·such·that·Lj,i·6=·0.\xd
307 ··············8········Orderings·and·Front·Trees··········································January·7,·2024\xd307 ··············8········Orderings·and·Front·Trees·········································February·8,·2025\xd
308 ······························Figure·3:·Vertex·elimination·tree·for·R2D100,·100·rows·and·columns\xd308 ······························Figure·3:·Vertex·elimination·tree·for·R2D100,·100·rows·and·columns\xd
309 ···························································99\xd309 ···························································99\xd
310 ···························································98\xd310 ···························································98\xd
311 ···························································97\xd311 ···························································97\xd
312 ···························································96\xd312 ···························································96\xd
313 ···························································95\xd313 ···························································95\xd
314 ···························································94\xd314 ···························································94\xd
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327 ·····························7········17··········31···39·····55······65·····71······78··81\xd327 ·····························7········17··········31···39·····55······65·····71······78··81\xd
328 ·····························6·····11····16····27···30·38···53··54····64···········75·77·80\xd328 ·····························6·····11····16····27···30·38···53··54····64···········75·77·80\xd
329 ···························2··5···8·10·13·15·22·26·29·37····52······59··63············76·79\xd329 ···························2··5···8·10·13·15·22·26·29·37····52······59··63············76·79\xd
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11 %%EndComments11 %%EndComments
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14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
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22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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1789 /UnderlineThickness·50·def1789 /UnderlineThickness·50·def
1790 end·readonly·def1790 end·readonly·def
1791 /Encoding·256·array1791 /Encoding·256·array
1792 0·1·255·{1·index·exch·/.notdef·put}·for1792 0·1·255·{1·index·exch·/.notdef·put}·for
1793 dup·44·/comma·put1793 dup·44·/comma·put
1794 dup·48·/zero·put1794 dup·48·/zero·put
1795 dup·50·/two·put1795 dup·50·/two·put
1796 dup·52·/four·put 
1797 dup·55·/seven·put1796 dup·53·/five·put
 1797 dup·56·/eight·put
1798 dup·58·/colon·put1798 dup·58·/colon·put
1799 dup·74·/J·put1799 dup·70·/F·put
1800 dup·97·/a·put1800 dup·97·/a·put
 1801 dup·98·/b·put
1801 dup·110·/n·put1802 dup·101·/e·put
1802 dup·114·/r·put1803 dup·114·/r·put
1803 dup·117·/u·put1804 dup·117·/u·put
1804 dup·121·/y·put1805 dup·121·/y·put
1805 readonly·def1806 readonly·def
1806 currentdict·end1807 currentdict·end
1807 currentfile·eexec1808 currentfile·eexec
1808 D9D66F633B846AB284BCF8B0411B772DE5CE32340DC6F28AF40857E4451976E71809 D9D66F633B846AB284BCF8B0411B772DE5CE32340DC6F28AF40857E4451976E7
Offset 1986, 83 lines modifiedOffset 1987, 88 lines modified
1986 7CA1534C4D5B05FC33F83790ECFD7641DF3FB94289E2A1F6E7D29AB1228A867A1987 7CA1534C4D5B05FC33F83790ECFD7641DF3FB94289E2A1F6E7D29AB1228A867A
1987 6E1EF0E9C6F899B491DC18401C2C0A05FFFED46A72C245F7529B8EA55A0380821988 6E1EF0E9C6F899B491DC18401C2C0A05FFFED46A72C245F7529B8EA55A038082
1988 8512307217D2A233C37004085BA3AEE379269F9FA7D0ADB4B19A95CC2AFE686E1989 8512307217D2A233C37004085BA3AEE379269F9FA7D0ADB4B19A95CC2AFE686E
1989 55D88E47257C1FE6F235FEA295910569FE6DD5995512562359CC821E85A6C7A51990 55D88E47257C1FE6F235FEA295910569FE6DD5995512562359CC821E85A6C7A5
1990 79B470A9E340A6985189FF8B6AF914A6B0ECF93F47903221F95DE894A8F05B051991 79B470A9E340A6985189FF8B6AF914A6B0ECF93F47903221F95DE894A8F05B05
1991 B7D99CD533EC5F931B18E6B39BECF67FA2D6DD1AEC76772B068BE06335A94C051992 B7D99CD533EC5F931B18E6B39BECF67FA2D6DD1AEC76772B068BE06335A94C05
1992 7A4DDEE77B66101DA855C17AC312600370B34E31F5EC3A01300A8EB60B4C97671993 7A4DDEE77B66101DA855C17AC312600370B34E31F5EC3A01300A8EB60B4C9767
1993 1B2FA10DF7E91D3BB34A1B1CE7A0015A57C813E0280D873ADB884400493EF7041994 1B2FA10DF7E91D3BB34A1B1CE7A0015A57C813E0280D873ADB8844004E075961
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Offset 30, 15 lines modifiedOffset 30, 15 lines modified
30 ···············condensed·into·the·source·while·the·nodes·in·W·\Y·are·condensed·into·the·sink.·The·rest·of\xd30 ···············condensed·into·the·source·while·the·nodes·in·W·\Y·are·condensed·into·the·sink.·The·rest·of\xd
31 ···············the·network·is·formed·using·the·structure·of·the·subgraph·induced·by·Y.·Given·a·min-cut·of\xd31 ···············the·network·is·formed·using·the·structure·of·the·subgraph·induced·by·Y.·Given·a·min-cut·of\xd
32 ···········································b\xd32 ···········································b\xd
33 ···············the·network·we·can·identify·a·separator·S··Y·that·has·minimal·weight.·We·examine·two\xd33 ···············the·network·we·can·identify·a·separator·S··Y·that·has·minimal·weight.·We·examine·two\xd
34 ···············(possibly)·different·min-cuts·and·evaluate·the·partitions·induced·via·their·minimal·weight\xd34 ···············(possibly)·different·min-cuts·and·evaluate·the·partitions·induced·via·their·minimal·weight\xd
35 ···············separators,·and·accept·a·better·partition·if·present.\xd35 ···············separators,·and·accept·a·better·partition·if·present.\xd
36 ············································1\xd36 ············································1\xd
37 ···········2·······················GPart·:·DRAFT·January·7,·2024\xd37 ···········2······················GPart·:·DRAFT·February·8,·2025\xd
38 ···········This·process·we·call·DDSEP,·which·is·short·for·Domain·Decomposition·SEParator,·explained·in·more\xd38 ···········This·process·we·call·DDSEP,·which·is·short·for·Domain·Decomposition·SEParator,·explained·in·more\xd
39 ···········detail·in·[?]·and·[?].\xd39 ···········detail·in·[?]·and·[?].\xd
40 ···········1.1··Data·Structures\xd40 ···········1.1··Data·Structures\xd
41 ···········The·GPart·structure·has·a·pointer·to·a·Graph·object·and·other·fields·that·contain·information\xd41 ···········The·GPart·structure·has·a·pointer·to·a·Graph·object·and·other·fields·that·contain·information\xd
42 ···········about·the·partition·of·the·graph.\xd42 ···········about·the·partition·of·the·graph.\xd
43 ··············The·following·fields·are·always·active.\xd43 ··············The·following·fields·are·always·active.\xd
44 ··············Graph·*graph·:·pointer·to·the·Graph·object\xd44 ··············Graph·*graph·:·pointer·to·the·Graph·object\xd
Offset 61, 15 lines modifiedOffset 61, 15 lines modified
61 ··············GPart·*sib·:·pointer·to·a·sibling·GPart·object\xd61 ··············GPart·*sib·:·pointer·to·a·sibling·GPart·object\xd
62 ··············IV·vtxMapIV·:·an·IV·object·of·size·nvtx·+·nvbnd,·contains·a·map·from·the·vertices·of·the\xd62 ··············IV·vtxMapIV·:·an·IV·object·of·size·nvtx·+·nvbnd,·contains·a·map·from·the·vertices·of·the\xd
63 ···············graph·to·either·the·vertices·of·its·parent·or·to·the·vertices·of·the·root·graph\xd63 ···············graph·to·either·the·vertices·of·its·parent·or·to·the·vertices·of·the·root·graph\xd
64 ··············The·DDsepInfo·helper-object·is·used·during·the·DDSEP·recursive·bisection·process.·It·contains\xd64 ··············The·DDsepInfo·helper-object·is·used·during·the·DDSEP·recursive·bisection·process.·It·contains\xd
65 ···········input·parameters·for·the·different·stages·of·the·DDSEP·algorithm,·and·collects·statistics·about·the\xd65 ···········input·parameters·for·the·different·stages·of·the·DDSEP·algorithm,·and·collects·statistics·about·the\xd
66 ···········CPUtime·spent·in·each·stage.\xd66 ···········CPUtime·spent·in·each·stage.\xd
67 ··············These·parameters·are·used·to·generate·the·domain·decomposition.\xd67 ··············These·parameters·are·used·to·generate·the·domain·decomposition.\xd
68 ·············································GPart·:·DRAFT·····January·7,·2024··························3\xd68 ············································GPart·:·DRAFT······February·8,·2025·························3\xd
69 ·······················int·minweight:·minimum·target·weight·for·a·domain\xd69 ·······················int·minweight:·minimum·target·weight·for·a·domain\xd
70 ·······················int·maxweight:·maximum·target·weight·for·a·domain\xd70 ·······················int·maxweight:·maximum·target·weight·for·a·domain\xd
71 ·······················double·freeze:·multiplier·used·to·freeze·vertices·of·high·degree·into·the·multisector.\xd71 ·······················double·freeze:·multiplier·used·to·freeze·vertices·of·high·degree·into·the·multisector.\xd
72 ························If·the·degree·of·v·is·more·than·freeze·times·the·median·degree,·v·is·placed·into·the\xd72 ························If·the·degree·of·v·is·more·than·freeze·times·the·median·degree,·v·is·placed·into·the\xd
73 ························multisector.\xd73 ························multisector.\xd
74 ·······················int·seed:·random·number·seed\xd74 ·······················int·seed:·random·number·seed\xd
75 ·······················int·DDoption:·If·1,·a·new·domain·decomposition·is·constructed·for·each·subgraph.·If\xd75 ·······················int·DDoption:·If·1,·a·new·domain·decomposition·is·constructed·for·each·subgraph.·If\xd
Offset 98, 15 lines modifiedOffset 98, 15 lines modified
98 ·······················int·ntreeobj:·number·of·tree·objects·in·the·tree,·used·to·set·gpart->id·and·used·to\xd98 ·······················int·ntreeobj:·number·of·tree·objects·in·the·tree,·used·to·set·gpart->id·and·used·to\xd
99 ························initialize·the·DSTree·object.\xd99 ························initialize·the·DSTree·object.\xd
100 ·······················int·msglvl·:·message·level\xd100 ·······················int·msglvl·:·message·level\xd
101 ·······················FILE·*msgFile·:·message·file·pointer\xd101 ·······················FILE·*msgFile·:·message·file·pointer\xd
102 ··············1.2·····Prototypes·and·descriptions·of·GPart·methods\xd102 ··············1.2·····Prototypes·and·descriptions·of·GPart·methods\xd
103 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd103 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
104 ··············GPart·object.·There·are·no·IO·methods.\xd104 ··············GPart·object.·There·are·no·IO·methods.\xd
105 ··············4····························GPart·:·DRAFT·January·7,·2024\xd105 ··············4····························GPart·:·DRAFT·February·8,·2025\xd
106 ··············1.2.1··Basic·methods\xd106 ··············1.2.1··Basic·methods\xd
107 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd107 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
108 ··············any·allocated·data,·and·free’ing·the·object.\xd108 ··············any·allocated·data,·and·free’ing·the·object.\xd
109 ················1.·GPart·*·GPart_new·(·void·)·;\xd109 ················1.·GPart·*·GPart_new·(·void·)·;\xd
110 ···················This·method·simply·allocates·storage·for·the·GPart·structure·and·then·sets·the·default·fields\xd110 ···················This·method·simply·allocates·storage·for·the·GPart·structure·and·then·sets·the·default·fields\xd
111 ···················by·a·call·to·GPart·setDefaultFields().\xd111 ···················by·a·call·to·GPart·setDefaultFields().\xd
112 ················2.·void·GPart_setDefaultFields·(·GPart·*gpart·)·;\xd112 ················2.·void·GPart_setDefaultFields·(·GPart·*gpart·)·;\xd
Offset 132, 15 lines modifiedOffset 132, 15 lines modified
132 ···················compidsIV·and·cweightsIV·IV·objects·are·initialized.·The·remaining·fields·are·not·changed\xd132 ···················compidsIV·and·cweightsIV·IV·objects·are·initialized.·The·remaining·fields·are·not·changed\xd
133 ···················from·their·default·values.\xd133 ···················from·their·default·values.\xd
134 ···················Error·checking:·If·gpart·or·g·is·NULL,·or·if·g->nvtx··0,·an·error·message·is·printed·and·the\xd134 ···················Error·checking:·If·gpart·or·g·is·NULL,·or·if·g->nvtx··0,·an·error·message·is·printed·and·the\xd
135 ···················program·exits.\xd135 ···················program·exits.\xd
136 ················2.·void·GPart_setMessageInfo·(·GPart·*gpart,·int·msglvl,·FILE·*msgFile·)·;\xd136 ················2.·void·GPart_setMessageInfo·(·GPart·*gpart,·int·msglvl,·FILE·*msgFile·)·;\xd
137 ···················This·method·sets·the·msglvl·and·msgFile·fields.\xd137 ···················This·method·sets·the·msglvl·and·msgFile·fields.\xd
138 ···················Error·checking:·If·gpart·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd138 ···················Error·checking:·If·gpart·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
139 ······································GPart·:·DRAFT···January·7,·2024····················5\xd139 ······································GPart·:·DRAFT··February·8,·2025····················5\xd
140 ············1.2.3··Utility·methods\xd140 ············1.2.3··Utility·methods\xd
141 ···············1.·void·GPart_setCweights·(·GPart·*gpart·)·;\xd141 ···············1.·void·GPart_setCweights·(·GPart·*gpart·)·;\xd
142 ·················This·method·sets·the·component·weights·vector·cweightsIV.·We·assume·that·the·compidsIV\xd142 ·················This·method·sets·the·component·weights·vector·cweightsIV.·We·assume·that·the·compidsIV\xd
143 ·················vector·has·been·set·prior·to·entering·this·method.·The·weight·of·a·component·is·not·simply\xd143 ·················vector·has·been·set·prior·to·entering·this·method.·The·weight·of·a·component·is·not·simply\xd
144 ·················the·sum·of·the·weights·of·the·vertices·with·that·component’s·id.·We·accept·the·separator·or\xd144 ·················the·sum·of·the·weights·of·the·vertices·with·that·component’s·id.·We·accept·the·separator·or\xd
145 ·················multisector·vertices·(those·v·with·compids[v]·==·0)·but·then·find·the·connected·components\xd145 ·················multisector·vertices·(those·v·with·compids[v]·==·0)·but·then·find·the·connected·components\xd
146 ·················of·the·remaining·vertices,·renumbering·the·compidsIV·vector·where·necessary.·Thus,·ncomp\xd146 ·················of·the·remaining·vertices,·renumbering·the·compidsIV·vector·where·necessary.·Thus,·ncomp\xd
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171 ·················This·method·determines·whether·the·vertex·v·is·adjacent·to·just·one·domain·or·not.·We·use\xd171 ·················This·method·determines·whether·the·vertex·v·is·adjacent·to·just·one·domain·or·not.·We·use\xd
172 ·················this·method·to·make·a·separator·or·multisector·minimal.·If·the·vertex·is·adjacent·to·only·one\xd172 ·················this·method·to·make·a·separator·or·multisector·minimal.·If·the·vertex·is·adjacent·to·only·one\xd
173 ·················domain,·the·return·value·is·1·and·*pdomid·is·set·to·the·domain’s·id.·If·a·vertex·is·adjacent\xd173 ·················domain,·the·return·value·is·1·and·*pdomid·is·set·to·the·domain’s·id.·If·a·vertex·is·adjacent\xd
174 ·················to·zero·or·two·or·more·domains,·the·return·value·is·zero.·If·a·vertex·belongs·to·a·domain,·it\xd174 ·················to·zero·or·two·or·more·domains,·the·return·value·is·zero.·If·a·vertex·belongs·to·a·domain,·it\xd
175 ·················is·considered·adjacent·to·that·domain.\xd175 ·················is·considered·adjacent·to·that·domain.\xd
176 ·················Error·checking:·If·gpart,·g·or·domid·is·NULL,·or·if·v·is·out·of·range·(i.e.,·v·<·0·or·nvtx··v),\xd176 ·················Error·checking:·If·gpart,·g·or·domid·is·NULL,·or·if·v·is·out·of·range·(i.e.,·v·<·0·or·nvtx··v),\xd
177 ·················an·error·message·is·printed·and·the·program·exits.\xd177 ·················an·error·message·is·printed·and·the·program·exits.\xd
178 ··············6····························GPart·:·DRAFT·January·7,·2024\xd178 ··············6····························GPart·:·DRAFT·February·8,·2025\xd
179 ················6.·IV·*·GPart_bndWeightsIV·(·GPart·*gpart·)·;\xd179 ················6.·IV·*·GPart_bndWeightsIV·(·GPart·*gpart·)·;\xd
180 ···················This·method·returns·an·IV·object·that·contains·the·weights·of·the·vertices·on·the·boundaries\xd180 ···················This·method·returns·an·IV·object·that·contains·the·weights·of·the·vertices·on·the·boundaries\xd
181 ···················of·the·components.\xd181 ···················of·the·components.\xd
182 ···················Error·checking:·If·gpart·or·g·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd182 ···················Error·checking:·If·gpart·or·g·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
183 ··············1.2.4··Domain·decomposition·methods\xd183 ··············1.2.4··Domain·decomposition·methods\xd
184 ··············There·are·presently·two·methods·that·create·a·domain·decomposition·of·a·graph·or·a·subgraph.\xd184 ··············There·are·presently·two·methods·that·create·a·domain·decomposition·of·a·graph·or·a·subgraph.\xd
185 ················1.·void·GPart_DDviaFishnet·(·GPart·*gpart,·double·frac,·int·minweight,\xd185 ················1.·void·GPart_DDviaFishnet·(·GPart·*gpart,·double·frac,·int·minweight,\xd
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209 ················································double·cpus[]·)·;\xd209 ················································double·cpus[]·)·;\xd
210 ···················This·method·takes·a·domain·decomposition·{Φ,Ω·,...,Ω·}·defined·by·the·compidsIV·vector\xd210 ···················This·method·takes·a·domain·decomposition·{Φ,Ω·,...,Ω·}·defined·by·the·compidsIV·vector\xd
211 ·····························································1······m\xd211 ·····························································1······m\xd
212 ···················and·generates·a·two·set·partition·[S,B,W].·We·first·compute·the·map·from·vertices·to\xd212 ···················and·generates·a·two·set·partition·[S,B,W].·We·first·compute·the·map·from·vertices·to\xd
213 ···················domains·and·segments·(the·segments·partition·the·interface·nodes·Φ).·We·then·construct·the\xd213 ···················domains·and·segments·(the·segments·partition·the·interface·nodes·Φ).·We·then·construct·the\xd
214 ···················bipartite·graph·that·represents·the·connectivity·of·the·domains·and·segments.·Each·segment\xd214 ···················bipartite·graph·that·represents·the·connectivity·of·the·domains·and·segments.·Each·segment\xd
215 ···················is·an·“edge”·that·connects·two·“adjacent”·domains.·This·allows·us·to·use·a·variant·of·the\xd215 ···················is·an·“edge”·that·connects·two·“adjacent”·domains.·This·allows·us·to·use·a·variant·of·the\xd
216 ······································GPart·:·DRAFT···January·7,·2024····················7\xd216 ······································GPart·:·DRAFT··February·8,·2025····················7\xd
217 ·················Kernighan-Lin·algorithm·to·find·an·“edge”·separator·formed·of·segments,·which·is·really·a\xd217 ·················Kernighan-Lin·algorithm·to·find·an·“edge”·separator·formed·of·segments,·which·is·really·a\xd
218 ·················vertex·separator,·a·subset·of·Φ.·The·alpha·parameter·is·used·in·the·cost·function·evaluation\xd218 ·················vertex·separator,·a·subset·of·Φ.·The·alpha·parameter·is·used·in·the·cost·function·evaluation\xd
219 ·················for·the·partition,·cost([S,B,W])·=·|S|\x121+αmax{|B|,|W|}\x13.·The·seed·parameter·is·used\xd219 ·················for·the·partition,·cost([S,B,W])·=·|S|\x121+αmax{|B|,|W|}\x13.·The·seed·parameter·is·used\xd
220 ·····················································min{|B|,|W|}\xd220 ·····················································min{|B|,|W|}\xd
221 ·················to·randomize·the·algorithm.·One·can·make·several·runswith·different·seeds·and·chose·the·best\xd221 ·················to·randomize·the·algorithm.·One·can·make·several·runswith·different·seeds·and·chose·the·best\xd
222 ·················partition.·The·cpus[]·array·is·used·to·store·execution·times·for·segments·of·the·algorithm:\xd222 ·················partition.·The·cpus[]·array·is·used·to·store·execution·times·for·segments·of·the·algorithm:\xd
223 ·················cpus[0]·stores·the·time·to·compute·the·domain/segment·map;·cpus[2]·stores·the·time·to\xd223 ·················cpus[0]·stores·the·time·to·compute·the·domain/segment·map;·cpus[2]·stores·the·time·to\xd
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253 ·································0\xd253 ·································0\xd
254 ································Y··=·{y∈Y·|·y∈Adj(B\Y)·and·y·∈/·Adj(W·\Y)}\xd254 ································Y··=·{y∈Y·|·y∈Adj(B\Y)·and·y·∈/·Adj(W·\Y)}\xd
255 ·································1\xd255 ·································1\xd
256 ································Y··=·{y∈Y·|·y∈/·Adj(B·\Y)·and·y··Adj(W·\Y)}\xd256 ································Y··=·{y∈Y·|·y∈/·Adj(B·\Y)·and·y··Adj(W·\Y)}\xd
257 ·································2\xd257 ·································2\xd
258 ································Y··=·{y∈Y·|·y∈Adj(B\Y)·and·y·∈Adj(W·\Y)}\xd258 ································Y··=·{y∈Y·|·y∈Adj(B\Y)·and·y·∈Adj(W·\Y)}\xd
259 ·································3\xd259 ·································3\xd
260 ··················8······································GPart·:·DRAFT·January·7,·2024\xd260 ··················8·····································GPart·:·DRAFT·February·8,·2025\xd
261 ························The·YVmapIV·object·contains·the·list·of·vertices·in·the·wide·separator·Y·.·The·IV·object·that\xd261 ························The·YVmapIV·object·contains·the·list·of·vertices·in·the·wide·separator·Y·.·The·IV·object·that\xd
262 ························is·returned,·(called·YCmapIV·in·the·calling·method)·contains·the·subscripts·of·the·Y·,·Y·,·Y\xd262 ························is·returned,·(called·YCmapIV·in·the·calling·method)·contains·the·subscripts·of·the·Y·,·Y·,·Y\xd
263 ························································································································0···1···2\xd263 ························································································································0···1···2\xd
264 ························or·Y·sets·that·contains·each·vertex.\xd264 ························or·Y·sets·that·contains·each·vertex.\xd
265 ·····························3\xd265 ·····························3\xd
266 ························Error·checking:·If·gpart,·g·or·YVmapIV·is·NULL,·or·if·nvtx··0,·or·if·YVmapIV·is·empty,·an\xd266 ························Error·checking:·If·gpart,·g·or·YVmapIV·is·NULL,·or·if·nvtx··0,·or·if·YVmapIV·is·empty,·an\xd
267 ························error·message·is·printed·and·the·program·exits.\xd267 ························error·message·is·printed·and·the·program·exits.\xd
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303 ························improves·it·(if·possible).·The·methods·returns·the·cost·of·a·(possibly)·new·two-set·partition\xd303 ························improves·it·(if·possible).·The·methods·returns·the·cost·of·a·(possibly)·new·two-set·partition\xd
304 ·························b·b·c\xd304 ·························b·b·c\xd
305 ························[S,B,W]·defined·by·the·compidsIV·vector.·The·wide·separator·Y·that·is·constructed·is\xd305 ························[S,B,W]·defined·by·the·compidsIV·vector.·The·wide·separator·Y·that·is·constructed·is\xd
306 ························centered·around·S,·i.e.,·Y·includes·all·nodes·in·B·and·W·that·are·nlayer·distance·or·less\xd306 ························centered·around·S,·i.e.,·Y·includes·all·nodes·in·B·and·W·that·are·nlayer·distance·or·less\xd
307 ························from·S.·This·method·calls·GPart·smoothYSep().\xd307 ························from·S.·This·method·calls·GPart·smoothYSep().\xd
308 ························Error·checking:·If·gpart·is·NULL,·or·if·nlevel·<·0,·or·if·alpha·<·0.0,·an·error·message·is\xd308 ························Error·checking:·If·gpart·is·NULL,·or·if·nlevel·<·0,·or·if·alpha·<·0.0,·an·error·message·is\xd
309 ························printed·and·the·program·exits.\xd309 ························printed·and·the·program·exits.\xd
310 ······································GPart·:·DRAFT···January·7,·2024····················9\xd310 ······································GPart·:·DRAFT··February·8,·2025····················9\xd
311 ············1.2.7··Recursive·Bisection·method\xd311 ············1.2.7··Recursive·Bisection·method\xd
312 ············There·is·presently·one·method·to·construct·the·domain/separator·tree.\xd312 ············There·is·presently·one·method·to·construct·the·domain/separator·tree.\xd
313 ···············1.·DSTree·*·GPart_RBviaDDsep·(·GPart·*gpart,·DDsepInfo·*info·)·;\xd313 ···············1.·DSTree·*·GPart_RBviaDDsep·(·GPart·*gpart,·DDsepInfo·*info·)·;\xd
314 ·················This·method·performs·a·recursive·bisection·of·the·graph·using·the·DDSEP·algorithm·and\xd314 ·················This·method·performs·a·recursive·bisection·of·the·graph·using·the·DDSEP·algorithm·and\xd
315 ·················returns·a·DSTree·object·that·represents·the·domain/separator·tree·and·the·map·from·vertices\xd315 ·················returns·a·DSTree·object·that·represents·the·domain/separator·tree·and·the·map·from·vertices\xd
316 ·················to·domains·and·separators.·The·DDsepInfo·structure·contains·all·the·parameters·to·the\xd316 ·················to·domains·and·separators.·The·DDsepInfo·structure·contains·all·the·parameters·to·the\xd
317 ·················different·steps·of·the·DDSEP·algorithm·(the·fishnet·method·to·find·the·domain·decomposition,\xd317 ·················different·steps·of·the·DDSEP·algorithm·(the·fishnet·method·to·find·the·domain·decomposition,\xd
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27 ················weight·vertices·in·the·weighted·vertex.·The·weight·of·an·edge·is·w(u,v),·the·number·of·(u,v)·edges\xd27 ················weight·vertices·in·the·weighted·vertex.·The·weight·of·an·edge·is·w(u,v),·the·number·of·(u,v)·edges\xd
28 ················in·the·unit·weight·graph·where·u··u·and·v··v.\xd28 ················in·the·unit·weight·graph·where·u··u·and·v··v.\xd
29 ····················Thenaturalcompressedgraph[?],[?]isveryimportantformanymatricesfromstructralanalysis\xd29 ····················Thenaturalcompressedgraph[?],[?]isveryimportantformanymatricesfromstructralanalysis\xd
30 ················and·computational·fluid·mechanics.·This·type·of·graph·has·one·special·property:\xd30 ················and·computational·fluid·mechanics.·This·type·of·graph·has·one·special·property:\xd
31 ························································w(u,v)·=·w(u)·w(v)\xd31 ························································w(u,v)·=·w(u)·w(v)\xd
32 ···················1The·EGraph·object·represents·a·graph·of·the·matrix,·but·stores·a·list·of·covering·cliques·in·an·IVL·object.\xd32 ···················1The·EGraph·object·represents·a·graph·of·the·matrix,·but·stores·a·list·of·covering·cliques·in·an·IVL·object.\xd
33 ··································································1\xd33 ··································································1\xd
34 ················2·································Graph·:·DRAFT·January·7,·2024\xd34 ················2································Graph·:·DRAFT·February·8,·2025\xd
35 ················and·it·is·the·smallest·graph·with·this·property.·The·compression·is·loss-less,·for·given·G(V,E)\xd35 ················and·it·is·the·smallest·graph·with·this·property.·The·compression·is·loss-less,·for·given·G(V,E)\xd
36 ················and·φ,·we·can·reconstruct·the·unit·weight·graph·G(V,E).·In·effect,·we·can·work·with·the·natural\xd36 ················and·φ,·we·can·reconstruct·the·unit·weight·graph·G(V,E).·In·effect,·we·can·work·with·the·natural\xd
37 ················compressed·graph·to·find·separators·and·orderings·and·map·back·to·the·unit·weight·graph.·The\xd37 ················compressed·graph·to·find·separators·and·orderings·and·map·back·to·the·unit·weight·graph.·The\xd
38 ················savings·in·time·and·space·can·be·considerable.\xd38 ················savings·in·time·and·space·can·be·considerable.\xd
39 ···················The·Graph·object·has·a·method·to·find·the·φ·map·for·the·natural·compressed·graph;·it·requires\xd39 ···················The·Graph·object·has·a·method·to·find·the·φ·map·for·the·natural·compressed·graph;·it·requires\xd
40 ················O(|V|)·space·and·O(|E|)·time.·There·is·a·method·to·compress·a·graph·(i.e.,·given·G(V,E)·and\xd40 ················O(|V|)·space·and·O(|E|)·time.·There·is·a·method·to·compress·a·graph·(i.e.,·given·G(V,E)·and\xd
41 ················an·arbitrary·φ,·construct·G(V,E))·and·a·method·to·expand·a·graph·(i.e.,·given·G(V,E)·and·an\xd41 ················an·arbitrary·φ,·construct·G(V,E))·and·a·method·to·expand·a·graph·(i.e.,·given·G(V,E)·and·an\xd
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57 ····················int·totewght·:·total·edge·weight\xd57 ····················int·totewght·:·total·edge·weight\xd
58 ····················IVL·*adjIVL·:·pointer·to·IVL·object·to·hold·adjacency·lists\xd58 ····················IVL·*adjIVL·:·pointer·to·IVL·object·to·hold·adjacency·lists\xd
59 ····················int·*vwghts·:·pointer·to·a·vertex·to·hold·vertex·weights·non-NULL·if·type·%·2·==·1\xd59 ····················int·*vwghts·:·pointer·to·a·vertex·to·hold·vertex·weights·non-NULL·if·type·%·2·==·1\xd
60 ····················IVL·*ewghtIVL·:·pointer·to·IVL·object·to·hold·edge·weight·lists,·non-NULL·if·type·/·2·==·1\xd60 ····················IVL·*ewghtIVL·:·pointer·to·IVL·object·to·hold·edge·weight·lists,·non-NULL·if·type·/·2·==·1\xd
61 ················1.2····Prototypes·and·descriptions·of·Graph·methods\xd61 ················1.2····Prototypes·and·descriptions·of·Graph·methods\xd
62 ················This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd62 ················This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
63 ················Graph·object.\xd63 ················Graph·object.\xd
64 ················································Graph·:·DRAFT·······January·7,·2024····························3\xd64 ················································Graph·:·DRAFT······February·8,·2025····························3\xd
65 ···············1.2.1····Basic·methods\xd65 ···············1.2.1····Basic·methods\xd
66 ···············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd66 ···············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
67 ···············any·allocated·data,·and·free’ing·the·object.\xd67 ···············any·allocated·data,·and·free’ing·the·object.\xd
68 ··················1.·Graph·*·Graph_new·(·void·)·;\xd68 ··················1.·Graph·*·Graph_new·(·void·)·;\xd
69 ·····················This·method·simply·allocates·storage·for·the·Graph·structure·and·then·sets·the·default·fields\xd69 ·····················This·method·simply·allocates·storage·for·the·Graph·structure·and·then·sets·the·default·fields\xd
70 ·····················by·a·call·to·Graph·setDefaultFields().\xd70 ·····················by·a·call·to·Graph·setDefaultFields().\xd
71 ··················2.·void·Graph_setDefaultFields·(·Graph·*graph·)·;\xd71 ··················2.·void·Graph_setDefaultFields·(·Graph·*graph·)·;\xd
Offset 91, 15 lines modifiedOffset 91, 15 lines modified
91 ············································int·adjType,·int·ewghtType·)·;\xd91 ············································int·adjType,·int·ewghtType·)·;\xd
92 ·····················Thisisthebasicinitializer·method.·Anypreviousdataisclearedwithacall·toGraph·clearData().\xd92 ·····················Thisisthebasicinitializer·method.·Anypreviousdataisclearedwithacall·toGraph·clearData().\xd
93 ·····················Thenthescalar·fields·are·set·and·the·adjIVL·object·is·initialized.·If·type·is·1·or·3,·the·vwghts\xd93 ·····················Thenthescalar·fields·are·set·and·the·adjIVL·object·is·initialized.·If·type·is·1·or·3,·the·vwghts\xd
94 ·····················vector·is·initialized·to·zeros.·If·type·is·2·or·3,·the·ewghtIVL·object·is·initialized.\xd94 ·····················vector·is·initialized·to·zeros.·If·type·is·2·or·3,·the·ewghtIVL·object·is·initialized.\xd
95 ·····················Error·checking:·If·graph·is·NULL,·type·is·invalid·(type·must·be·in·[0,3]),·nvtx·is·non-\xd95 ·····················Error·checking:·If·graph·is·NULL,·type·is·invalid·(type·must·be·in·[0,3]),·nvtx·is·non-\xd
96 ·····················positive,·nvbnd·or·nedges·is·negative,·or·adjType·of·ewghtType·is·invalid·(they·must·be\xd96 ·····················positive,·nvbnd·or·nedges·is·negative,·or·adjType·of·ewghtType·is·invalid·(they·must·be\xd
97 ·····················IVL·CHUNKED,·IVL·SOLO·or·IVL·UNKNOWN).·an·error·message·is·printed·and·the·program·exits.\xd97 ·····················IVL·CHUNKED,·IVL·SOLO·or·IVL·UNKNOWN).·an·error·message·is·printed·and·the·program·exits.\xd
98 ··············4····························Graph·:·DRAFT·January·7,·2024\xd98 ··············4····························Graph·:·DRAFT·February·8,·2025\xd
99 ················2.·void·Graph_init2·(·Graph·*graph,·int·type,·int·nvtx,·int·nvbnd,·int·nedges,\xd99 ················2.·void·Graph_init2·(·Graph·*graph,·int·type,·int·nvtx,·int·nvbnd,·int·nedges,\xd
100 ························int·totvwght,·int·totewght,·IVL·*adjIVL,·int·*vwghts,·IVL·*ewghtIVL)\xd100 ························int·totvwght,·int·totewght,·IVL·*adjIVL,·int·*vwghts,·IVL·*ewghtIVL)\xd
101 ··················This·method·is·used·by·the·IO·read·methods.·When·a·Graph·object·is·read·from·a·file,\xd101 ··················This·method·is·used·by·the·IO·read·methods.·When·a·Graph·object·is·read·from·a·file,\xd
102 ··················the·IVL·object(s)·must·be·initialized·and·then·read·in·from·the·file.·Therefore,·we·need·an\xd102 ··················the·IVL·object(s)·must·be·initialized·and·then·read·in·from·the·file.·Therefore,·we·need·an\xd
103 ··················initialization·method·that·allows·us·to·set·pointers·to·the·IVL·objects·and·the·vwghts·vector.\xd103 ··················initialization·method·that·allows·us·to·set·pointers·to·the·IVL·objects·and·the·vwghts·vector.\xd
104 ··················Note,·adjIVL,·vwghts·and·ewghtIVL·are·owned·by·the·Graph·object·and·will·be·free’d·when\xd104 ··················Note,·adjIVL,·vwghts·and·ewghtIVL·are·owned·by·the·Graph·object·and·will·be·free’d·when\xd
105 ··················the·Graph·object·is·free’d.\xd105 ··················the·Graph·object·is·free’d.\xd
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130 ··············1.2.3··Compress·and·Expand·methods\xd130 ··············1.2.3··Compress·and·Expand·methods\xd
131 ··············These·three·methods·find·an·equivalence·map·for·the·natural·compressed·graph,·compress·a·graph,\xd131 ··············These·three·methods·find·an·equivalence·map·for·the·natural·compressed·graph,·compress·a·graph,\xd
132 ··············and·expand·a·graph.\xd132 ··············and·expand·a·graph.\xd
133 ················1.·IV·*·Graph_equivMap·(·Graph·*graph·)·;\xd133 ················1.·IV·*·Graph_equivMap·(·Graph·*graph·)·;\xd
134 ··················This·method·constructs·the·equivalence·map·from·the·graph·to·its·natural·compressed·graph.\xd134 ··················This·method·constructs·the·equivalence·map·from·the·graph·to·its·natural·compressed·graph.\xd
135 ··················The·map·φ·:·V·7→·V·is·then·constructed·(see·the·Introduction·in·this·section)·and·put·into\xd135 ··················The·map·φ·:·V·7→·V·is·then·constructed·(see·the·Introduction·in·this·section)·and·put·into\xd
136 ··················an·IV·object·that·is·then·returned.\xd136 ··················an·IV·object·that·is·then·returned.\xd
137 ······································Graph·:·DRAFT···January·7,·2024····················5\xd137 ······································Graph·:·DRAFT··February·8,·2025····················5\xd
138 ·················Error·checking:·If·graph·is·NULL·or·nvtx·<=·0,·an·error·message·is·printed·and·the·program\xd138 ·················Error·checking:·If·graph·is·NULL·or·nvtx·<=·0,·an·error·message·is·printed·and·the·program\xd
139 ·················exits.\xd139 ·················exits.\xd
140 ···············2.·Graph·*·Graph_compress·(·Graph·*graph,·int·map[],·int·coarseType·)·;\xd140 ···············2.·Graph·*·Graph_compress·(·Graph·*graph,·int·map[],·int·coarseType·)·;\xd
141 ·················Graph·*·Graph_compress2·(·Graph·*graph,·IV·*mapIV,·int·coarseType·)·;\xd141 ·················Graph·*·Graph_compress2·(·Graph·*graph,·IV·*mapIV,·int·coarseType·)·;\xd
142 ·················This·Graph·and·map·objects·(map[]·or·mapIV)·are·checked·and·if·any·errors·are·found,\xd142 ·················This·Graph·and·map·objects·(map[]·or·mapIV)·are·checked·and·if·any·errors·are·found,\xd
143 ·················the·appropriate·message·is·printed·and·the·program·exits.·The·compressed·graph·object\xd143 ·················the·appropriate·message·is·printed·and·the·program·exits.·The·compressed·graph·object\xd
144 ·················is·constructed·and·returned.·Note,·the·compressed·graph·does·not·have·a·boundary,·even\xd144 ·················is·constructed·and·returned.·Note,·the·compressed·graph·does·not·have·a·boundary,·even\xd
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164 ···············1.·int·Graph_sizeOf·(·Graph·*graph·)·;\xd164 ···············1.·int·Graph_sizeOf·(·Graph·*graph·)·;\xd
165 ·················This·method·returns·the·number·of·bytes·taken·by·this·object.\xd165 ·················This·method·returns·the·number·of·bytes·taken·by·this·object.\xd
166 ·················Error·checking:·If·graph·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd166 ·················Error·checking:·If·graph·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
167 ···············2.·Graph_externalDegree·(·Graph·*graph,·int·v·)·;\xd167 ···············2.·Graph_externalDegree·(·Graph·*graph,·int·v·)·;\xd
168 ·················This·method·returns·the·weight·of·adj(v).\xd168 ·················This·method·returns·the·weight·of·adj(v).\xd
169 ·················Error·checking:·If·graph·is·NULL,·or·v·is·out·of·range,·an·error·message·is·printed·and·the\xd169 ·················Error·checking:·If·graph·is·NULL,·or·v·is·out·of·range,·an·error·message·is·printed·and·the\xd
170 ·················program·exits.\xd170 ·················program·exits.\xd
171 ·······6··············Graph·:·DRAFT·January·7,·2024\xd171 ·······6··············Graph·:·DRAFT·February·8,·2025\xd
172 ········3.·int·Graph_adjAndSize·(·Graph·*graph,·int·u,·int·*pusize,·int·**puadj)·;\xd172 ········3.·int·Graph_adjAndSize·(·Graph·*graph,·int·u,·int·*pusize,·int·**puadj)·;\xd
173 ··········This·method·fills·*pusize·with·the·size·of·the·adjacency·list·for·u·and·*puadj·points·to·the\xd173 ··········This·method·fills·*pusize·with·the·size·of·the·adjacency·list·for·u·and·*puadj·points·to·the\xd
174 ··········start·of·the·list·vector.\xd174 ··········start·of·the·list·vector.\xd
175 ··········Error·checking:·If·graph·is·NULL,·or·if·u·<·0·or·u·>=·nvtx·or·if·pusize·or·puadj·is·NULL,·an\xd175 ··········Error·checking:·If·graph·is·NULL,·or·if·u·<·0·or·u·>=·nvtx·or·if·pusize·or·puadj·is·NULL,·an\xd
176 ··········error·message·is·printed·and·the·program·exits.\xd176 ··········error·message·is·printed·and·the·program·exits.\xd
177 ········4.·int·Graph_adjAndEweights·(·Graph·*graph,·int·u,·int·*pusize,\xd177 ········4.·int·Graph_adjAndEweights·(·Graph·*graph,·int·u,·int·*pusize,\xd
178 ························int·**puadj,·int·**puewghts)·;\xd178 ························int·**puadj,·int·**puewghts)·;\xd
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205 ··········list·for·the·vertex·in·the·parent·graph.·Each·adjacency·list·for·a·boundary·vertex·of·the\xd205 ··········list·for·the·vertex·in·the·parent·graph.·Each·adjacency·list·for·a·boundary·vertex·of·the\xd
206 ··········subgraph·is·new·storage,·and·only·these·lists·are·free’d·when·the·subgraph·is·free’d.·A·map\xd206 ··········subgraph·is·new·storage,·and·only·these·lists·are·free’d·when·the·subgraph·is·free’d.·A·map\xd
207 ··········vector·is·created·that·maps·the·subgraphs’s·vertices·(both·internal·and·boundary)·into·the\xd207 ··········vector·is·created·that·maps·the·subgraphs’s·vertices·(both·internal·and·boundary)·into·the\xd
208 ··········parent·graph’s·vertices;·the·address·of·the·map·vector·is·put·into·*pmap.·The·adjacency·lists\xd208 ··········parent·graph’s·vertices;·the·address·of·the·map·vector·is·put·into·*pmap.·The·adjacency·lists\xd
209 ··········for·the·subgraph·are·overwritten·by·the·map[]·vector.·This·renders·the·graph·object·invalid.\xd209 ··········for·the·subgraph·are·overwritten·by·the·map[]·vector.·This·renders·the·graph·object·invalid.\xd
210 ··········The·graph·partitioning·methods·map·the·vertices·back·to·their·original·values.·Presently,\xd210 ··········The·graph·partitioning·methods·map·the·vertices·back·to·their·original·values.·Presently,\xd
211 ··········only·graphs·with·unit·edge·weights·are·allowed·as·input.\xd211 ··········only·graphs·with·unit·edge·weights·are·allowed·as·input.\xd
212 ······································Graph·:·DRAFT···January·7,·2024····················7\xd212 ······································Graph·:·DRAFT··February·8,·2025····················7\xd
213 ·················Error·checking:·If·graph·is·NULL·or·icomp·<·0·or·compids·or·pmap·is·NULL,·an·error·message\xd213 ·················Error·checking:·If·graph·is·NULL·or·icomp·<·0·or·compids·or·pmap·is·NULL,·an·error·message\xd
214 ·················is·printed·and·the·program·exits.\xd214 ·················is·printed·and·the·program·exits.\xd
215 ···············8.·int·Graph_isSymmetric·(·Graph·*graph·)·;\xd215 ···············8.·int·Graph_isSymmetric·(·Graph·*graph·)·;\xd
216 ·················This·method·returns·1·if·the·graph·is·symmetric·(i.e.,·edge·(i,j)·is·present·if·and·only·if\xd216 ·················This·method·returns·1·if·the·graph·is·symmetric·(i.e.,·edge·(i,j)·is·present·if·and·only·if\xd
217 ·················edge·(j,i)·is·present)·and·0·otherwise.\xd217 ·················edge·(j,i)·is·present)·and·0·otherwise.\xd
218 ·················Error·checking:·If·graph·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd218 ·················Error·checking:·If·graph·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
219 ············1.2.6··IO·methods\xd219 ············1.2.6··IO·methods\xd
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242 ·················file·and·returns·the·value·returned·from·the·called·routine.\xd242 ·················file·and·returns·the·value·returned·from·the·called·routine.\xd
243 ·················Error·checking:·If·graph·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.graphf·(for·a·formatted\xd243 ·················Error·checking:·If·graph·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.graphf·(for·a·formatted\xd
244 ·················file)·or·*.graphb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd244 ·················file)·or·*.graphb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd
245 ···············5.·int·Graph_writeToFormattedFile·(·Graph·*graph,·FILE·*fp·)·;\xd245 ···············5.·int·Graph_writeToFormattedFile·(·Graph·*graph,·FILE·*fp·)·;\xd
246 ·················This·method·writes·a·Graph·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the\xd246 ·················This·method·writes·a·Graph·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the\xd
247 ·················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd247 ·················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd
248 ·················Error·checking:·If·graph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd248 ·················Error·checking:·If·graph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
249 ···········8·······················Graph·:·DRAFT·January·7,·2024\xd249 ···········8·······················Graph·:·DRAFT·February·8,·2025\xd
250 ·············6.·int·Graph_writeToBinaryFile·(·Graph·*graph,·FILE·*fp·)·;\xd250 ·············6.·int·Graph_writeToBinaryFile·(·Graph·*graph,·FILE·*fp·)·;\xd
251 ···············This·method·writes·a·Graph·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the·data,\xd251 ···············This·method·writes·a·Graph·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the·data,\xd
252 ···············the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd252 ···············the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd
253 ···············Error·checking:·If·graph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd253 ···············Error·checking:·If·graph·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
254 ·············7.·int·Graph_writeForHumanEye·(·Graph·*graph,·FILE·*fp·)·;\xd254 ·············7.·int·Graph_writeForHumanEye·(·Graph·*graph,·FILE·*fp·)·;\xd
255 ···············This·method·writes·a·Graph·object·to·a·file·in·a·human·readable·format.·The·method\xd255 ···············This·method·writes·a·Graph·object·to·a·file·in·a·human·readable·format.·The·method\xd
256 ···············Graph·writeStats()is·called·to·write·out·the·header·and·statistics.·The·value·1·is·returned.\xd256 ···············Graph·writeStats()is·called·to·write·out·the·header·and·statistics.·The·value·1·is·returned.\xd
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276 ···················*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd276 ···················*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd
277 ···················method.\xd277 ···················method.\xd
278 ·············2.·compressGraph·msglvl·msgFile·inGraphFile·coarseType·outMapFile·outGraphFile\xd278 ·············2.·compressGraph·msglvl·msgFile·inGraphFile·coarseType·outMapFile·outGraphFile\xd
279 ···············This·driver·program·reads·in·a·Graph·object·from·a·file,·computes·the·equivalence·map·to\xd279 ···············This·driver·program·reads·in·a·Graph·object·from·a·file,·computes·the·equivalence·map·to\xd
280 ···············its·natural·compressed·graph·(the·first·graph·need·not·be·unit·weight),·and·constructs·the\xd280 ···············its·natural·compressed·graph·(the·first·graph·need·not·be·unit·weight),·and·constructs·the\xd
281 ···············natural·compressed·graph.·The·equivalence·map·and·compressed·graph·are·optionally·written\xd281 ···············natural·compressed·graph.·The·equivalence·map·and·compressed·graph·are·optionally·written\xd
282 ···············out·to·files.\xd282 ···············out·to·files.\xd
283 ············································Graph·:·DRAFT·····January·7,·2024·························9\xd283 ············································Graph·:·DRAFT····February·8,·2025·························9\xd
284 ·······················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd284 ·······················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd
285 ························that·all·objects·are·written·to·the·message·file.\xd285 ························that·all·objects·are·written·to·the·message·file.\xd
286 ·······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd286 ·······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
287 ························message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd287 ························message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd
288 ························data.\xd288 ························data.\xd
289 ·······················TheinGraphFileparameteristheinputfilefortheGraphobject.·It·mustbeof·theform\xd289 ·······················TheinGraphFileparameteristheinputfilefortheGraphobject.·It·mustbeof·theform\xd
290 ························*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd290 ························*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd
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23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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2432 dup·55·/seven·put2431 dup·53·/five·put
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2433 dup·58·/colon·put2433 dup·58·/colon·put
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2437 dup·114·/r·put2438 dup·114·/r·put
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Offset 21, 15 lines modifiedOffset 21, 15 lines modified
21 ·······················int·nlist·:·number·of·lists·in·the·hash·table\xd21 ·······················int·nlist·:·number·of·lists·in·the·hash·table\xd
22 ·······················int·grow·:·when·no·I2OP·objects·are·available·to·insert·a·new·<key1,key2,value>·triple,\xd22 ·······················int·grow·:·when·no·I2OP·objects·are·available·to·insert·a·new·<key1,key2,value>·triple,\xd
23 ························the·object·can·allocate·grow·more·I2OP·objects·and·put·them·on·the·free·list.\xd23 ························the·object·can·allocate·grow·more·I2OP·objects·and·put·them·on·the·free·list.\xd
24 ·······················nitem·:·number·of·items·in·the·hash·table.\xd24 ·······················nitem·:·number·of·items·in·the·hash·table.\xd
25 ·······················I2OP·*baseI2OP·:·pointer·to·an·I2OP·object·that·keeps·track·of·all·the·I2OP·objects·that\xd25 ·······················I2OP·*baseI2OP·:·pointer·to·an·I2OP·object·that·keeps·track·of·all·the·I2OP·objects·that\xd
26 ························have·been·allocated·by·the·hash·table.\xd26 ························have·been·allocated·by·the·hash·table.\xd
27 ·········································································1\xd27 ·········································································1\xd
28 ··············2···························I2Ohash·:·DRAFT·January·7,·2024\xd28 ··············2···························I2Ohash·:·DRAFT·February·8,·2025\xd
29 ··················I2OP·*freeI2OP·:·pointer·to·the·first·I2OP·object·on·the·free·list.\xd29 ··················I2OP·*freeI2OP·:·pointer·to·the·first·I2OP·object·on·the·free·list.\xd
30 ··················I2OP·**heads·:·pointer·to·a·vector·of·pointers·to·I2OP·objects,·used·to·hold·a·pointer·to·the\xd30 ··················I2OP·**heads·:·pointer·to·a·vector·of·pointers·to·I2OP·objects,·used·to·hold·a·pointer·to·the\xd
31 ···················first·I2OP·object·in·each·list.\xd31 ···················first·I2OP·object·in·each·list.\xd
32 ·················Acorrectly·initialized·and·nontrivial·I2Ohash·object·will·have·nlist·>·0.·If·grow·is·zero·and\xd32 ·················Acorrectly·initialized·and·nontrivial·I2Ohash·object·will·have·nlist·>·0.·If·grow·is·zero·and\xd
33 ··············a·new·<key1,key2,value>·triple·is·given·to·the·hash·table·to·be·inserted,·a·fatal·error·occurs.\xd33 ··············a·new·<key1,key2,value>·triple·is·given·to·the·hash·table·to·be·inserted,·a·fatal·error·occurs.\xd
34 ··············1.2···Prototypes·and·descriptions·of·I2Ohash·methods\xd34 ··············1.2···Prototypes·and·descriptions·of·I2Ohash·methods\xd
35 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd35 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
Offset 51, 15 lines modifiedOffset 51, 15 lines modified
51 ···················Error·checking:·If·hashtable·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd51 ···················Error·checking:·If·hashtable·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
52 ················4.·void·I2Ohash_free·(·I2Ohash·*hashtable·)·;\xd52 ················4.·void·I2Ohash_free·(·I2Ohash·*hashtable·)·;\xd
53 ···················This·method·releases·any·storage·by·a·call·to·I2Ohash·clearData()·then·free’s·the·storage\xd53 ···················This·method·releases·any·storage·by·a·call·to·I2Ohash·clearData()·then·free’s·the·storage\xd
54 ···················for·the·structure·with·a·call·to·free().\xd54 ···················for·the·structure·with·a·call·to·free().\xd
55 ···················Error·checking:·If·hashtable·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd55 ···················Error·checking:·If·hashtable·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
56 ··············1.2.2··Initializer·methods\xd56 ··············1.2.2··Initializer·methods\xd
57 ··············There·is·one·initializer·method.\xd57 ··············There·is·one·initializer·method.\xd
58 ·················································I2Ohash·:·DRAFT·······January·7,·2024·····························3\xd58 ················································I2Ohash·:·DRAFT········February·8,·2025····························3\xd
59 ···················1.·void·I2Ohash_init·(·I2Ohash·*hashtable,·int·nlist,·int·nobj,·int·grow·)·;\xd59 ···················1.·void·I2Ohash_init·(·I2Ohash·*hashtable,·int·nlist,·int·nobj,·int·grow·)·;\xd
60 ······················This·method·is·the·basic·initializer·method.······It·clears·any·previous·data·with·a·call·to\xd60 ······················This·method·is·the·basic·initializer·method.······It·clears·any·previous·data·with·a·call·to\xd
61 ······················I2Ohash·clearData().·It·allocates·storage·for·nlist·lists·and·if·nobj·is·positive,·it·loads·the\xd61 ······················I2Ohash·clearData().·It·allocates·storage·for·nlist·lists·and·if·nobj·is·positive,·it·loads·the\xd
62 ······················free·list·with·nobj·I2OP·objects.\xd62 ······················free·list·with·nobj·I2OP·objects.\xd
63 ······················Error·checking:·If·hashtable·is·NULL,·or·if·nlist··0,·or·if·nobj·and·grow·are·both·zero,·an\xd63 ······················Error·checking:·If·hashtable·is·NULL,·or·if·nlist··0,·or·if·nobj·and·grow·are·both·zero,·an\xd
64 ······················error·message·is·printed·and·the·program·exits.\xd64 ······················error·message·is·printed·and·the·program·exits.\xd
65 ················1.2.3····Utility·methods\xd65 ················1.2.3····Utility·methods\xd
Offset 92, 15 lines modifiedOffset 92, 15 lines modified
92 ······················the·triples·are·evenly·distributed·among·nlist/k·lists,·the·value·is·√k.\xd92 ······················the·triples·are·evenly·distributed·among·nlist/k·lists,·the·value·is·√k.\xd
93 ······················Error·checking:·If·hashtable·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd93 ······················Error·checking:·If·hashtable·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
94 ················1.2.4····IO·methods\xd94 ················1.2.4····IO·methods\xd
95 ···················1.·void·I2Ohash_writeForHumanEye·(·I2Ohash·*hashtable,·FILE·*fp·)·;\xd95 ···················1.·void·I2Ohash_writeForHumanEye·(·I2Ohash·*hashtable,·FILE·*fp·)·;\xd
96 ······················This·method·prints·the·hash·table·in·a·human-readable·format.\xd96 ······················This·method·prints·the·hash·table·in·a·human-readable·format.\xd
97 ······················Error·checking:·If·hashtable·or·fp·is·NULL,·an·error·message·is·printed·and·the·program\xd97 ······················Error·checking:·If·hashtable·or·fp·is·NULL,·an·error·message·is·printed·and·the·program\xd
98 ······················exits.\xd98 ······················exits.\xd
99 ···········4······················I2Ohash·:·DRAFT·January·7,·2024\xd99 ···········4······················I2Ohash·:·DRAFT·February·8,·2025\xd
100 ···········1.3··Driver·programs·for·the·I2Ohash·object\xd100 ···········1.3··Driver·programs·for·the·I2Ohash·object\xd
101 ·············1.·test_hash·msglvl·msgFile·size·grow·maxkey·nent·seed\xd101 ·············1.·test_hash·msglvl·msgFile·size·grow·maxkey·nent·seed\xd
102 ···············This·driver·program·tests·the·I2Ohash·insert·method.·It·inserts·a·number·of·triples·into·a\xd102 ···············This·driver·program·tests·the·I2Ohash·insert·method.·It·inserts·a·number·of·triples·into·a\xd
103 ···············hash·table·and·prints·out·the·“measure”·of·how·well·distributed·the·entries·are·in·the·hash\xd103 ···············hash·table·and·prints·out·the·“measure”·of·how·well·distributed·the·entries·are·in·the·hash\xd
104 ···············table.\xd104 ···············table.\xd
105 ··················The·msglvl·parameter·determines·the·amount·of·output.·Use·msglvl·=·1·for·just\xd105 ··················The·msglvl·parameter·determines·the·amount·of·output.·Use·msglvl·=·1·for·just\xd
106 ···················timing·output.\xd106 ···················timing·output.\xd
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IIheap.ps
    
Offset 11, 15 lines modifiedOffset 11, 15 lines modified
11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
13 %%ViewingOrientation:·1·0·0·113 %%ViewingOrientation:·1·0·0·1
14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·IIheap.ps16 %DVIPSCommandLine:·dvips·main·-o·IIheap.ps
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22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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1277 /UnderlineThickness·50·def1277 /UnderlineThickness·50·def
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1292 dup·121·/y·put1293 dup·121·/y·put
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Offset 17, 15 lines modifiedOffset 17, 15 lines modified
17 ···············location·loc\xd17 ···············location·loc\xd
18 ···········A·correctly·initialized·and·nontrivial·IIheap·object·will·have·maxsize·>·0·and·0·<=·size·<\xd18 ···········A·correctly·initialized·and·nontrivial·IIheap·object·will·have·maxsize·>·0·and·0·<=·size·<\xd
19 ···········maxsize.\xd19 ···········maxsize.\xd
20 ···········1.2··Prototypes·and·descriptions·of·IIheap·methods\xd20 ···········1.2··Prototypes·and·descriptions·of·IIheap·methods\xd
21 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd21 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
22 ···········IIheap·object.\xd22 ···········IIheap·object.\xd
23 ·············································1\xd23 ·············································1\xd
24 ···············2·······························IIheap·:·DRAFT·January·7,·2024\xd24 ···············2······························IIheap·:·DRAFT·February·8,·2025\xd
25 ···············1.2.1···Basic·methods\xd25 ···············1.2.1···Basic·methods\xd
26 ···············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd26 ···············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
27 ···············any·allocated·data,·and·free’ing·the·object.\xd27 ···············any·allocated·data,·and·free’ing·the·object.\xd
28 ··················1.·IIheap·*·IIheap_new·(·void·)·;\xd28 ··················1.·IIheap·*·IIheap_new·(·void·)·;\xd
29 ····················This·method·simply·allocates·storage·for·the·IIheap·structure·and·then·sets·the·default·fields\xd29 ····················This·method·simply·allocates·storage·for·the·IIheap·structure·and·then·sets·the·default·fields\xd
30 ····················by·a·call·to·IIheap·setDefaultFields().\xd30 ····················by·a·call·to·IIheap·setDefaultFields().\xd
31 ··················2.·void·IIheap_setDefaultFields·(·IIheap·*heap·)·;\xd31 ··················2.·void·IIheap_setDefaultFields·(·IIheap·*heap·)·;\xd
Offset 49, 15 lines modifiedOffset 49, 15 lines modified
49 ····················IVinit().·The·entries·in·the·three·vectors·are·set·to·-1.\xd49 ····················IVinit().·The·entries·in·the·three·vectors·are·set·to·-1.\xd
50 ····················Error·checking:·If·heap·is·NULL,·or·if·maxsize··0,·an·error·message·is·printed·and·the\xd50 ····················Error·checking:·If·heap·is·NULL,·or·if·maxsize··0,·an·error·message·is·printed·and·the\xd
51 ····················program·exits.\xd51 ····················program·exits.\xd
52 ···············1.2.3···Utility·methods\xd52 ···············1.2.3···Utility·methods\xd
53 ··················1.·int·IIheap_sizeOf·(·IIheap·*heap·)·;\xd53 ··················1.·int·IIheap_sizeOf·(·IIheap·*heap·)·;\xd
54 ····················This·method·returns·the·number·of·bytes·taken·by·this·object.\xd54 ····················This·method·returns·the·number·of·bytes·taken·by·this·object.\xd
55 ····················Error·checking:·If·heap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd55 ····················Error·checking:·If·heap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
56 ······································IIheap·:·DRAFT··January·7,·2024····················3\xd56 ·····································IIheap·:·DRAFT···February·8,·2025···················3\xd
57 ···············2.·void·IIheap_root·(·IIheap·*heap,·int·*pkey,·int·*pvalue·)·;\xd57 ···············2.·void·IIheap_root·(·IIheap·*heap,·int·*pkey,·int·*pvalue·)·;\xd
58 ·················This·method·fills·*pid·and·*pkey·with·the·key·and·value,·respectively,·of·the·root·element,\xd58 ·················This·method·fills·*pid·and·*pkey·with·the·key·and·value,·respectively,·of·the·root·element,\xd
59 ·················an·element·with·minimum·value.·If·size·==·0·then·-1·is·returned.\xd59 ·················an·element·with·minimum·value.·If·size·==·0·then·-1·is·returned.\xd
60 ·················Error·checking:·If·heap,·pkey·or·pvalue·is·NULL,·an·error·message·is·printed·and·the·program\xd60 ·················Error·checking:·If·heap,·pkey·or·pvalue·is·NULL,·an·error·message·is·printed·and·the·program\xd
61 ·················exits.\xd61 ·················exits.\xd
62 ···············3.·void·IIheap_insert·(·IIheap·*heap,·int·key,·int·value·)·;\xd62 ···············3.·void·IIheap_insert·(·IIheap·*heap,·int·key,·int·value·)·;\xd
63 ·················This·method·inserts·the·pair·(key,value)·into·the·heap.\xd63 ·················This·method·inserts·the·pair·(key,value)·into·the·heap.\xd
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./usr/share/doc/spooles-doc/IV.ps.gz
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IV.ps
    
Offset 10, 15 lines modifiedOffset 10, 15 lines modified
10 %%EndComments10 %%EndComments
11 %%BeginDefaults11 %%BeginDefaults
12 %%ViewingOrientation:·1·0·0·112 %%ViewingOrientation:·1·0·0·1
13 %%EndDefaults13 %%EndDefaults
14 %DVIPSWebPage:·(www.radicaleye.com)14 %DVIPSWebPage:·(www.radicaleye.com)
15 %DVIPSCommandLine:·dvips·main·-o·IV.ps15 %DVIPSCommandLine:·dvips·main·-o·IV.ps
16 %DVIPSParameters:·dpi=60016 %DVIPSParameters:·dpi=600
17 %DVIPSSource:··TeX·output·2024.01.07:164517 %DVIPSSource:··TeX·output·2025.02.08:2316
18 %%BeginProcSet:·tex.pro·0·018 %%BeginProcSet:·tex.pro·0·0
19 %!19 %!
20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
21 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7221 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1609, 20 lines modifiedOffset 1609, 21 lines modified
1609 /UnderlineThickness·50·def1609 /UnderlineThickness·50·def
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1624 dup·121·/y·put1625 dup·121·/y·put
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Offset 24, 15 lines modifiedOffset 24, 15 lines modified
24 ····················IV·setMaxsize()·methods)·than·it·is·to·duplicate·code·to·work·on·an·int·vector.\xd24 ····················IV·setMaxsize()·methods)·than·it·is·to·duplicate·code·to·work·on·an·int·vector.\xd
25 ···············Onemustchoose·where·to·use·this·object.·There·is·a·substantial·performance·penalty·for·doing·the\xd25 ···············Onemustchoose·where·to·use·this·object.·There·is·a·substantial·performance·penalty·for·doing·the\xd
26 ···············simplest·operations,·and·so·when·we·need·to·manipulate·an·int·vector·inside·a·loop,·we·extract\xd26 ···············simplest·operations,·and·so·when·we·need·to·manipulate·an·int·vector·inside·a·loop,·we·extract\xd
27 ···············out·the·size·and·pointer·to·the·base·array·from·the·IV·object.·On·the·other·hand,·the·convenience\xd27 ···············out·the·size·and·pointer·to·the·base·array·from·the·IV·object.·On·the·other·hand,·the·convenience\xd
28 ···············makes·it·a·widely·used·object.·Originally·its·use·was·restricted·to·reading·and·writing·*.iv{f,b}\xd28 ···············makes·it·a·widely·used·object.·Originally·its·use·was·restricted·to·reading·and·writing·*.iv{f,b}\xd
29 ···············files,·but·now·IV·objects·appear·much·more·frequently·in·new·development.\xd29 ···············files,·but·now·IV·objects·appear·much·more·frequently·in·new·development.\xd
30 ·····························································1\xd30 ·····························································1\xd
31 ··············2······························IV·:·DRAFT·January·7,·2024\xd31 ··············2·····························IV·:·DRAFT·February·8,·2025\xd
32 ··············1.1···Data·Structure\xd32 ··············1.1···Data·Structure\xd
33 ··············The·IV·structure·has·four·fields.\xd33 ··············The·IV·structure·has·four·fields.\xd
34 ··················int·size·:·present·size·of·the·vector.\xd34 ··················int·size·:·present·size·of·the·vector.\xd
35 ··················int·maxsize·:·maximum·size·of·the·vector.\xd35 ··················int·maxsize·:·maximum·size·of·the·vector.\xd
36 ··················int·owned·:·owner·flag·for·the·data.·When·owned·=·1,·storage·for·maxsize·int’s·has·been\xd36 ··················int·owned·:·owner·flag·for·the·data.·When·owned·=·1,·storage·for·maxsize·int’s·has·been\xd
37 ···················allocated·by·this·object·and·can·be·free’d·by·the·object.·When·nowned·=·0·but·maxsize·>\xd37 ···················allocated·by·this·object·and·can·be·free’d·by·the·object.·When·nowned·=·0·but·maxsize·>\xd
38 ···················0,·this·object·points·to·entries·that·have·been·allocated·elsewhere,·and·these·entries·will·not\xd38 ···················0,·this·object·points·to·entries·that·have·been·allocated·elsewhere,·and·these·entries·will·not\xd
Offset 58, 15 lines modifiedOffset 58, 15 lines modified
58 ···················the·storage·for·vec·is·free’d·by·a·call·to·IVfree().·The·structure’s·default·fields·are·then·set\xd58 ···················the·storage·for·vec·is·free’d·by·a·call·to·IVfree().·The·structure’s·default·fields·are·then·set\xd
59 ···················with·a·call·to·IV·setDefaultFields().\xd59 ···················with·a·call·to·IV·setDefaultFields().\xd
60 ···················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd60 ···················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
61 ················4.·void·IV_free·(·IV·*iv·)·;\xd61 ················4.·void·IV_free·(·IV·*iv·)·;\xd
62 ···················This·method·releases·any·storage·by·a·call·to·IV·clearData()·then·free’s·the·storage·for·the\xd62 ···················This·method·releases·any·storage·by·a·call·to·IV·clearData()·then·free’s·the·storage·for·the\xd
63 ···················structure·with·a·call·to·free().\xd63 ···················structure·with·a·call·to·free().\xd
64 ···················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd64 ···················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
65 ········································IV·:·DRAFT··January·7,·2024······················3\xd65 ·······································IV·:·DRAFT···February·8,·2025·····················3\xd
66 ············1.2.2··Instance·methods\xd66 ············1.2.2··Instance·methods\xd
67 ············These·method·allow·access·to·information·in·the·data·fields·without·explicitly·following·pointers.\xd67 ············These·method·allow·access·to·information·in·the·data·fields·without·explicitly·following·pointers.\xd
68 ············There·is·overhead·involved·with·these·method·due·to·the·function·call·and·error·checking·inside\xd68 ············There·is·overhead·involved·with·these·method·due·to·the·function·call·and·error·checking·inside\xd
69 ············the·methods.\xd69 ············the·methods.\xd
70 ···············1.·int·IV_owned·(·IV·*iv·)·;\xd70 ···············1.·int·IV_owned·(·IV·*iv·)·;\xd
71 ·················This·method·returns·the·value·of·owned.·If·owned·=·1,·then·the·object·owns·the·data·pointed\xd71 ·················This·method·returns·the·value·of·owned.·If·owned·=·1,·then·the·object·owns·the·data·pointed\xd
72 ·················to·by·vec·and·will·free·this·data·with·a·call·to·IVfree()·when·its·data·is·cleared·by·a·call·to\xd72 ·················to·by·vec·and·will·free·this·data·with·a·call·to·IVfree()·when·its·data·is·cleared·by·a·call·to\xd
Offset 91, 15 lines modifiedOffset 91, 15 lines modified
91 ·················the·vector.\xd91 ·················the·vector.\xd
92 ·················Error·checking:·If·iv,·psize·or·pentries·is·NULL·an·error·message·is·printed·and·the·program\xd92 ·················Error·checking:·If·iv,·psize·or·pentries·is·NULL·an·error·message·is·printed·and·the·program\xd
93 ·················exits.\xd93 ·················exits.\xd
94 ···············7.·void·IV_setEntry·(·IV·*iv,·int·loc,·int·value·)·;\xd94 ···············7.·void·IV_setEntry·(·IV·*iv,·int·loc,·int·value·)·;\xd
95 ·················This·method·sets·the·loc’th·entry·of·the·vector·to·value.\xd95 ·················This·method·sets·the·loc’th·entry·of·the·vector·to·value.\xd
96 ·················Error·checking:·If·iv,·loc·<·0·or·loc·>=·size,·or·if·vec·is·NULL·an·error·message·is·printed\xd96 ·················Error·checking:·If·iv,·loc·<·0·or·loc·>=·size,·or·if·vec·is·NULL·an·error·message·is·printed\xd
97 ·················and·the·program·exits.\xd97 ·················and·the·program·exits.\xd
98 ··············4······························IV·:·DRAFT·January·7,·2024\xd98 ··············4·····························IV·:·DRAFT·February·8,·2025\xd
99 ··············1.2.3··Initializer·methods\xd99 ··············1.2.3··Initializer·methods\xd
100 ················1.·void·IV_init·(·IV·*iv,·int·size,·int·*entries·)·;\xd100 ················1.·void·IV_init·(·IV·*iv,·int·size,·int·*entries·)·;\xd
101 ···················This·method·initializes·the·object·given·a·size·for·the·vector·and·a·possible·pointer·to·the\xd101 ···················This·method·initializes·the·object·given·a·size·for·the·vector·and·a·possible·pointer·to·the\xd
102 ···················vectors·storage.·Any·previous·data·with·a·call·to·IV·clearData().·If·entries·!=·NULL·then\xd102 ···················vectors·storage.·Any·previous·data·with·a·call·to·IV·clearData().·If·entries·!=·NULL·then\xd
103 ···················the·vec·field·is·set·to·entries,·the·size·and·maxsize·fields·are·set·to·size·,·and·owned·is\xd103 ···················the·vec·field·is·set·to·entries,·the·size·and·maxsize·fields·are·set·to·size·,·and·owned·is\xd
104 ···················set·to·zero·because·the·object·does·not·own·the·entries.·If·entries·is·NULL·and·if·size·>·0\xd104 ···················set·to·zero·because·the·object·does·not·own·the·entries.·If·entries·is·NULL·and·if·size·>·0\xd
105 ···················then·a·vector·is·allocated·by·the·object,·and·the·object·owns·this·storage.\xd105 ···················then·a·vector·is·allocated·by·the·object,·and·the·object·owns·this·storage.\xd
Offset 128, 15 lines modifiedOffset 128, 15 lines modified
128 ···················Error·checking:·If·iv·is·NULL·or·newsize·<·0,·or·if·0·<·maxsize·<·newsize·and·owned·==\xd128 ···················Error·checking:·If·iv·is·NULL·or·newsize·<·0,·or·if·0·<·maxsize·<·newsize·and·owned·==\xd
129 ···················0,·an·error·message·is·printed·and·the·program·exits.\xd129 ···················0,·an·error·message·is·printed·and·the·program·exits.\xd
130 ··············1.2.4··Utility·methods\xd130 ··············1.2.4··Utility·methods\xd
131 ················1.·void·IV_shiftBase·(·IV·*iv,·int·offset·)·;\xd131 ················1.·void·IV_shiftBase·(·IV·*iv,·int·offset·)·;\xd
132 ···················This·method·shifts·the·base·entries·of·the·vector·and·decrements·the·present·size·and·max-\xd132 ···················This·method·shifts·the·base·entries·of·the·vector·and·decrements·the·present·size·and·max-\xd
133 ···················imum·size·of·the·vector·by·offset.·This·is·a·dangerous·method·to·use·because·the·state·of\xd133 ···················imum·size·of·the·vector·by·offset.·This·is·a·dangerous·method·to·use·because·the·state·of\xd
134 ···················the·vector·is·lost,·namely·vec,·the·base·of·the·entries,·is·corrupted.·If·the·object·owns·its\xd134 ···················the·vector·is·lost,·namely·vec,·the·base·of·the·entries,·is·corrupted.·If·the·object·owns·its\xd
135 ········································IV·:·DRAFT··January·7,·2024······················5\xd135 ·······································IV·:·DRAFT···February·8,·2025·····················5\xd
136 ·················entries·and·IV·free(),·IV·setSize()·or·IV·setMaxsize()·is·called·before·the·base·has·been\xd136 ·················entries·and·IV·free(),·IV·setSize()·or·IV·setMaxsize()·is·called·before·the·base·has·been\xd
137 ·················shifted·back·to·its·original·position,·a·segmentation·violation·will·likely·result.·This·is·a·very\xd137 ·················shifted·back·to·its·original·position,·a·segmentation·violation·will·likely·result.·This·is·a·very\xd
138 ·················useful·method,·but·use·with·caution.\xd138 ·················useful·method,·but·use·with·caution.\xd
139 ·················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd139 ·················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
140 ···············2.·void·IV_push·(·IV·*iv,·int·val·)·;\xd140 ···············2.·void·IV_push·(·IV·*iv,·int·val·)·;\xd
141 ·················This·method·pushes·an·entry·onto·the·vector.·If·the·vector·is·full,·i.e.,·if·size·=·maxsize\xd141 ·················This·method·pushes·an·entry·onto·the·vector.·If·the·vector·is·full,·i.e.,·if·size·=·maxsize\xd
142 ·················-·1,·then·the·size·of·the·vector·is·doubled·if·possible.·If·the·storage·cannot·grow,·i.e.,·if·the\xd142 ·················-·1,·then·the·size·of·the·vector·is·doubled·if·possible.·If·the·storage·cannot·grow,·i.e.,·if·the\xd
Offset 164, 15 lines modifiedOffset 164, 15 lines modified
164 ·················the·program·exits.\xd164 ·················the·program·exits.\xd
165 ···············7.·int·IV_sizeOf·(·IV·*iv·)·;\xd165 ···············7.·int·IV_sizeOf·(·IV·*iv·)·;\xd
166 ·················This·method·returns·the·number·of·bytes·taken·by·the·object.\xd166 ·················This·method·returns·the·number·of·bytes·taken·by·the·object.\xd
167 ·················Error·checking:·If·iv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd167 ·················Error·checking:·If·iv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
168 ···············8.·void·IV_filterKeep·(·IV·*iv,·int·tags[],·int·keepTag·)·;\xd168 ···············8.·void·IV_filterKeep·(·IV·*iv,·int·tags[],·int·keepTag·)·;\xd
169 ·················This·method·examines·the·entries·in·the·vector.·Let·k·be·entry·i·in·the·vector.·If·tags[k]·!=\xd169 ·················This·method·examines·the·entries·in·the·vector.·Let·k·be·entry·i·in·the·vector.·If·tags[k]·!=\xd
170 ·················keepTag,·the·entry·is·moved·to·the·end·of·the·vector,·otherwise·it·is·moved·to·the·beginning\xd170 ·················keepTag,·the·entry·is·moved·to·the·end·of·the·vector,·otherwise·it·is·moved·to·the·beginning\xd
171 ·······6···············IV·:·DRAFT·January·7,·2024\xd171 ·······6···············IV·:·DRAFT·February·8,·2025\xd
172 ··········of·the·vector.·The·size·of·the·vector·is·reset·to·be·the·number·of·tagged·entries·that·are·now\xd172 ··········of·the·vector.·The·size·of·the·vector·is·reset·to·be·the·number·of·tagged·entries·that·are·now\xd
173 ··········in·the·leading·locations.\xd173 ··········in·the·leading·locations.\xd
174 ··········Error·checking:·If·iv·of·tags·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd174 ··········Error·checking:·If·iv·of·tags·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
175 ········9.·void·IV_filterPurge·(·IV·*iv,·int·tags[],·int·purgeTag·)·;\xd175 ········9.·void·IV_filterPurge·(·IV·*iv,·int·tags[],·int·purgeTag·)·;\xd
176 ··········This·method·examines·the·entries·in·the·vector.·Let·k·be·entry·i·in·the·vector.·If·tags[k]·==\xd176 ··········This·method·examines·the·entries·in·the·vector.·Let·k·be·entry·i·in·the·vector.·If·tags[k]·==\xd
177 ··········purgeTag,·the·entry·is·moved·to·the·end·of·the·vector,·otherwise·it·is·moved·to·the·beginning\xd177 ··········purgeTag,·the·entry·is·moved·to·the·end·of·the·vector,·otherwise·it·is·moved·to·the·beginning\xd
178 ··········of·the·vector.·The·size·of·the·vector·is·reset·to·be·the·number·of·untagged·entries·that·are\xd178 ··········of·the·vector.·The·size·of·the·vector·is·reset·to·be·the·number·of·untagged·entries·that·are\xd
Offset 201, 15 lines modifiedOffset 201, 15 lines modified
201 ··········Error·checking:·If·iv·is·NULL·or·if·loc·is·out·of·range,·an·error·message·is·printed·and·the\xd201 ··········Error·checking:·If·iv·is·NULL·or·if·loc·is·out·of·range,·an·error·message·is·printed·and·the\xd
202 ··········program·exits.\xd202 ··········program·exits.\xd
203 ········14.·int·IV_decrement·(·IV·*iv,·int·loc·)·;\xd203 ········14.·int·IV_decrement·(·IV·*iv,·int·loc·)·;\xd
204 ··········This·method·decrements·the·loc’th·location·of·the·iv·object·by·one·and·returns·the·new\xd204 ··········This·method·decrements·the·loc’th·location·of·the·iv·object·by·one·and·returns·the·new\xd
205 ··········value.\xd205 ··········value.\xd
206 ··········Error·checking:·If·iv·is·NULL·or·if·loc·is·out·of·range,·an·error·message·is·printed·and·the\xd206 ··········Error·checking:·If·iv·is·NULL·or·if·loc·is·out·of·range,·an·error·message·is·printed·and·the\xd
207 ··········program·exits.\xd207 ··········program·exits.\xd
208 ········································IV·:·DRAFT··January·7,·2024······················7\xd208 ·······································IV·:·DRAFT···February·8,·2025·····················7\xd
209 ··············15.·int·IV_findValue·(·IV·*iv,·int·value·)·;\xd209 ··············15.·int·IV_findValue·(·IV·*iv,·int·value·)·;\xd
210 ·················This·method·looks·for·value·in·its·entries.·If·value·is·present,·the·first·location·is·returned,\xd210 ·················This·method·looks·for·value·in·its·entries.·If·value·is·present,·the·first·location·is·returned,\xd
211 ·················otherwise·-1·is·returned.·The·cost·is·linear·in·the·number·of·entries.\xd211 ·················otherwise·-1·is·returned.·The·cost·is·linear·in·the·number·of·entries.\xd
212 ·················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd212 ·················Error·checking:·If·iv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
213 ··············16.·int·IV_findValueAscending·(·IV·*iv,·int·value·)·;\xd213 ··············16.·int·IV_findValueAscending·(·IV·*iv,·int·value·)·;\xd
214 ·················Thismethodlooksforvalueinitsentries.·Ifvalueispresent,·alocation·isreturned,·otherwise\xd214 ·················Thismethodlooksforvalueinitsentries.·Ifvalueispresent,·alocation·isreturned,·otherwise\xd
215 ·················-1·is·returned.·This·method·assumes·that·the·entries·are·sorted·in·ascending·order.·The·cost\xd215 ·················-1·is·returned.·This·method·assumes·that·the·entries·are·sorted·in·ascending·order.·The·cost\xd
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238 ············is·size,·followed·by·the·size·entries·found·in·vec[].\xd238 ············is·size,·followed·by·the·size·entries·found·in·vec[].\xd
239 ···············1.·int·IV_readFromFile·(·IV·*iv,·char·*fn·)·;\xd239 ···············1.·int·IV_readFromFile·(·IV·*iv,·char·*fn·)·;\xd
240 ·················This·method·reads·an·IV·object·from·a·formatted·file.·It·tries·to·open·the·file·and·if·it·is\xd240 ·················This·method·reads·an·IV·object·from·a·formatted·file.·It·tries·to·open·the·file·and·if·it·is\xd
241 ·················successful,·it·then·calls·IV·readFromFormattedFile()·or·IV·readFromBinaryFile(),·closes\xd241 ·················successful,·it·then·calls·IV·readFromFormattedFile()·or·IV·readFromBinaryFile(),·closes\xd
242 ·················the·file·and·returns·the·value·returned·from·the·called·routine.\xd242 ·················the·file·and·returns·the·value·returned·from·the·called·routine.\xd
243 ·················Error·checking:·If·iv·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.ivf·(for·a·formatted·file)\xd243 ·················Error·checking:·If·iv·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.ivf·(for·a·formatted·file)\xd
244 ·················or·*.ivb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd244 ·················or·*.ivb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd
245 ·······8···············IV·:·DRAFT·January·7,·2024\xd245 ·······8···············IV·:·DRAFT·February·8,·2025\xd
246 ········2.·int·IV_readFromFormattedFile·(·IV·*iv,·FILE·*fp·)·;\xd246 ········2.·int·IV_readFromFormattedFile·(·IV·*iv,·FILE·*fp·)·;\xd
247 ··········This·method·reads·in·an·IV·object·from·a·formatted·file.·If·there·are·no·errors·in·reading·the\xd247 ··········This·method·reads·in·an·IV·object·from·a·formatted·file.·If·there·are·no·errors·in·reading·the\xd
248 ··········data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd248 ··········data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd
249 ··········Error·checking:·If·iv·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd249 ··········Error·checking:·If·iv·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
250 ········3.·int·IV_readFromBinaryFile·(·IV·*iv,·FILE·*fp·)·;\xd250 ········3.·int·IV_readFromBinaryFile·(·IV·*iv,·FILE·*fp·)·;\xd
251 ··········This·method·reads·in·an·IV·object·from·a·binary·file.·If·there·are·no·errors·in·reading·the\xd251 ··········This·method·reads·in·an·IV·object·from·a·binary·file.·If·there·are·no·errors·in·reading·the\xd
252 ··········data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd252 ··········data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd
Offset 274, 15 lines modifiedOffset 274, 15 lines modified
274 ··········This·method·writes·the·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd274 ··········This·method·writes·the·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd
275 ··········Error·checking:·If·iv·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd275 ··········Error·checking:·If·iv·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
276 ········9.·int·IV_fp80·(·IV·*iv,·FILE·*fp,·int·column,·int·*pierr·)·;\xd276 ········9.·int·IV_fp80·(·IV·*iv,·FILE·*fp,·int·column,·int·*pierr·)·;\xd
277 ··········This·method·is·just·a·wrapper·around·the·IVfp80()·method·for·an·int·method.·The·entries\xd277 ··········This·method·is·just·a·wrapper·around·the·IVfp80()·method·for·an·int·method.·The·entries\xd
278 ··········in·the·vector·are·found·on·lines·with·eighty·columns·and·are·separated·by·a·whitespace.·The\xd278 ··········in·the·vector·are·found·on·lines·with·eighty·columns·and·are·separated·by·a·whitespace.·The\xd
279 ··········value·1·is·returned.\xd279 ··········value·1·is·returned.\xd
280 ··········Error·checking:·If·iv·or·fp·or·pierr·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd280 ··········Error·checking:·If·iv·or·fp·or·pierr·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
281 ········································IV·:·DRAFT··January·7,·2024······················9\xd281 ·······································IV·:·DRAFT···February·8,·2025·····················9\xd
282 ··············10.·int·IV_writeForMatlab·(·IV·*iv,·char·*name,·FILE·*fp·)·;\xd282 ··············10.·int·IV_writeForMatlab·(·IV·*iv,·char·*name,·FILE·*fp·)·;\xd
283 ·················This·method·writes·the·entries·of·the·vector·to·a·file·suitable·to·be·read·by·Matlab.·The\xd283 ·················This·method·writes·the·entries·of·the·vector·to·a·file·suitable·to·be·read·by·Matlab.·The\xd
284 ·················character·string·name·is·the·name·of·the·vector,·e.g,·if·name·=·"A",·then·we·have·lines·of·the\xd284 ·················character·string·name·is·the·name·of·the·vector,·e.g,·if·name·=·"A",·then·we·have·lines·of·the\xd
285 ·················form\xd285 ·················form\xd
286 ·················A(1)·=·32·;\xd286 ·················A(1)·=·32·;\xd
287 ·················A(2)·=·-433·;\xd287 ·················A(2)·=·-433·;\xd
288 ·················...\xd288 ·················...\xd
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Offset 22, 15 lines modifiedOffset 22, 15 lines modified
22 ···················Each·list·is·allocated·separately·using·the·IVinit()·function.·When·the·IVL·object·is\xd22 ···················Each·list·is·allocated·separately·using·the·IVinit()·function.·When·the·IVL·object·is\xd
23 ···················free’d,·each·list·is·free’d·separately·using·the·IVfree()·function.\xd23 ···················free’d,·each·list·is·free’d·separately·using·the·IVfree()·function.\xd
24 ··················IVL·UNKNOWN\xd24 ··················IVL·UNKNOWN\xd
25 ···················This·storage·mode·is·available·for·the·cases·where·storage·for·a·list·is·aliased·to·another\xd25 ···················This·storage·mode·is·available·for·the·cases·where·storage·for·a·list·is·aliased·to·another\xd
26 ···················location.·Absolutely·no·free’ing·of·data·is·done·when·the·IVL·object·is·free’d.\xd26 ···················location.·Absolutely·no·free’ing·of·data·is·done·when·the·IVL·object·is·free’d.\xd
27 ···············The·storage·management·is·handled·by·IVL·setList()·and·IVL·setPointerToList().\xd27 ···············The·storage·management·is·handled·by·IVL·setList()·and·IVL·setPointerToList().\xd
28 ·············································1\xd28 ·············································1\xd
29 ··············2·····························IVL·:·DRAFT·January·7,·2024\xd29 ··············2·····························IVL·:·DRAFT·February·8,·2025\xd
30 ··················int·maxnlist·:·maximum·number·of·lists.\xd30 ··················int·maxnlist·:·maximum·number·of·lists.\xd
31 ···················int·nlist·:·number·of·lists.\xd31 ···················int·nlist·:·number·of·lists.\xd
32 ···················We·may·not·know·how·many·lists·we·will·need·for·the·object··maxnlist·is·the·dimension\xd32 ···················We·may·not·know·how·many·lists·we·will·need·for·the·object··maxnlist·is·the·dimension\xd
33 ···················of·the·sizes[]·and·p·vec[]·arrays·and·nlist·is·the·present·number·of·active·lists.·When\xd33 ···················of·the·sizes[]·and·p·vec[]·arrays·and·nlist·is·the·present·number·of·active·lists.·When\xd
34 ···················we·initialize·the·object·using·one·of·the·IVL·init{1,2,3}()·methods,·we·set·nlist·equal·to\xd34 ···················we·initialize·the·object·using·one·of·the·IVL·init{1,2,3}()·methods,·we·set·nlist·equal·to\xd
35 ···················maxnlist.·We·resize·the·object·using·IVL·setMaxnlist().\xd35 ···················maxnlist.·We·resize·the·object·using·IVL·setMaxnlist().\xd
36 ··················int·tsize·:·total·number·of·list·entries.\xd36 ··················int·tsize·:·total·number·of·list·entries.\xd
Offset 57, 15 lines modifiedOffset 57, 15 lines modified
57 ················1.·IVL·*·IVL_new·(·void·)·;\xd57 ················1.·IVL·*·IVL_new·(·void·)·;\xd
58 ···················This·method·simply·allocates·storage·for·the·IVL·structure·and·then·sets·the·default·fields·by\xd58 ···················This·method·simply·allocates·storage·for·the·IVL·structure·and·then·sets·the·default·fields·by\xd
59 ···················a·call·to·IVL·setDefaultFields().\xd59 ···················a·call·to·IVL·setDefaultFields().\xd
60 ················2.·void·IVL_setDefaultFields·(·IVL·*ivl·)·;\xd60 ················2.·void·IVL_setDefaultFields·(·IVL·*ivl·)·;\xd
61 ···················This·method·sets·the·default·fields·of·the·object··type·=·IVL·NOTYPE,·maxnlist,·nlist\xd61 ···················This·method·sets·the·default·fields·of·the·object··type·=·IVL·NOTYPE,·maxnlist,·nlist\xd
62 ···················and·tsize·are·zero,·incr·is·1024,·and·sizes,·p·vec·and·chunk·are·NULL.\xd62 ···················and·tsize·are·zero,·incr·is·1024,·and·sizes,·p·vec·and·chunk·are·NULL.\xd
63 ···················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd63 ···················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
64 ········································IVL·:·DRAFT··January·7,·2024·····················3\xd64 ·······································IVL·:·DRAFT···February·8,·2025····················3\xd
65 ···············3.·void·IVL_clearData·(·IVL·*ivl·)·;\xd65 ···············3.·void·IVL_clearData·(·IVL·*ivl·)·;\xd
66 ·················This·method·clears·any·data·allocated·by·this·object·and·then·sets·the·default·fields·with·a\xd66 ·················This·method·clears·any·data·allocated·by·this·object·and·then·sets·the·default·fields·with·a\xd
67 ·················call·to·IVL·setDefaultFields().·Any·storage·held·by·the·Ichunk·structures·is·free’d,·and\xd67 ·················call·to·IVL·setDefaultFields().·Any·storage·held·by·the·Ichunk·structures·is·free’d,·and\xd
68 ·················if·sizes·or·p·vec·are·not·NULL,·they·are·free’d.\xd68 ·················if·sizes·or·p·vec·are·not·NULL,·they·are·free’d.\xd
69 ·················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd69 ·················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
70 ···············4.·void·IVL_free·(·IVL·*ivl·)·;\xd70 ···············4.·void·IVL_free·(·IVL·*ivl·)·;\xd
71 ·················This·method·releases·any·storage·by·a·call·to·IVL·clearData()·then·free’s·the·storage·for\xd71 ·················This·method·releases·any·storage·by·a·call·to·IVL·clearData()·then·free’s·the·storage·for\xd
Offset 87, 15 lines modifiedOffset 87, 15 lines modified
87 ···············5.·int·IVL_incr·(·IVL·*ivl·)·;\xd87 ···············5.·int·IVL_incr·(·IVL·*ivl·)·;\xd
88 ·················This·method·returns·incr,·the·storage·increment.\xd88 ·················This·method·returns·incr,·the·storage·increment.\xd
89 ·················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd89 ·················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
90 ···············6.·int·IVL_setincr·(·IVL·*ivl,·int·incr·)·;\xd90 ···············6.·int·IVL_setincr·(·IVL·*ivl,·int·incr·)·;\xd
91 ·················This·method·sets·the·storage·increment·to·incr.\xd91 ·················This·method·sets·the·storage·increment·to·incr.\xd
92 ·················Error·checking:·If·ivl·is·NULL·or·incr·is·negative,·an·error·message·is·printed·and·the·program\xd92 ·················Error·checking:·If·ivl·is·NULL·or·incr·is·negative,·an·error·message·is·printed·and·the·program\xd
93 ·················exits.\xd93 ·················exits.\xd
94 ··············4·····························IVL·:·DRAFT·January·7,·2024\xd94 ··············4·····························IVL·:·DRAFT·February·8,·2025\xd
95 ··············1.2.3··Initialization·and·resizing·methods\xd95 ··············1.2.3··Initialization·and·resizing·methods\xd
96 ················1.·void·IVL_init1·(·IVL·*ivl,·int·type,·int·maxnlist·)·;\xd96 ················1.·void·IVL_init1·(·IVL·*ivl,·int·type,·int·maxnlist·)·;\xd
97 ···················This·method·is·used·when·only·the·number·of·lists·is·known.·Any·previous·data·is·cleared\xd97 ···················This·method·is·used·when·only·the·number·of·lists·is·known.·Any·previous·data·is·cleared\xd
98 ···················with·a·call·to·IVL·clearData().·The·type·field·is·set.·If·maxnlist·>·0,·storage·is·allocated\xd98 ···················with·a·call·to·IVL·clearData().·The·type·field·is·set.·If·maxnlist·>·0,·storage·is·allocated\xd
99 ···················for·the·sizes[]·and·p·vec[]·arrays·and·nlist·is·set·to·maxnlist.\xd99 ···················for·the·sizes[]·and·p·vec[]·arrays·and·nlist·is·set·to·maxnlist.\xd
100 ···················Error·checking:·If·ivl·is·NULL·or·type·is·invalid·or·maxnlist·is·negative,·an·error·message·is\xd100 ···················Error·checking:·If·ivl·is·NULL·or·type·is·invalid·or·maxnlist·is·negative,·an·error·message·is\xd
101 ···················printed·and·the·program·exits.\xd101 ···················printed·and·the·program·exits.\xd
Offset 124, 15 lines modifiedOffset 124, 15 lines modified
124 ···················newmaxnlist·==·maxnlist,nothingisdone.·Otherwise,newstorageforsizes[]andp·vec[]\xd124 ···················newmaxnlist·==·maxnlist,nothingisdone.·Otherwise,newstorageforsizes[]andp·vec[]\xd
125 ···················is·allocated,·the·information·for·the·first·nlist·lists·is·copied·over,·and·the·old·storage\xd125 ···················is·allocated,·the·information·for·the·first·nlist·lists·is·copied·over,·and·the·old·storage\xd
126 ···················free’d.·Note,·maxnlist·is·set·to·newmaxnlist·and·nlist·is·set·to·the·minimum·of·nlist·and\xd126 ···················free’d.·Note,·maxnlist·is·set·to·newmaxnlist·and·nlist·is·set·to·the·minimum·of·nlist·and\xd
127 ···················newmaxnlist.\xd127 ···················newmaxnlist.\xd
128 ···················Error·checking:·If·ivl·is·NULL·or·if·newmaxnlist·is·negative,·an·error·message·is·printed·and\xd128 ···················Error·checking:·If·ivl·is·NULL·or·if·newmaxnlist·is·negative,·an·error·message·is·printed·and\xd
129 ···················the·program·exits.\xd129 ···················the·program·exits.\xd
130 ················6.·void·IVL_setNlist·(·IVL·*ivl,·int·newnlist·)·;\xd130 ················6.·void·IVL_setNlist·(·IVL·*ivl,·int·newnlist·)·;\xd
131 ········································IVL·:·DRAFT··January·7,·2024·····················5\xd131 ·······································IVL·:·DRAFT···February·8,·2025····················5\xd
132 ·················This·method·is·used·to·change·the·number·of·lists.·If·newnlist·>·maxnlist,·storage·for\xd132 ·················This·method·is·used·to·change·the·number·of·lists.·If·newnlist·>·maxnlist,·storage·for\xd
133 ·················the·lists·is·increased·via·a·call·to·the·IVL·setMaxnlist()·method.·Then·nlist·is·set·to\xd133 ·················the·lists·is·increased·via·a·call·to·the·IVL·setMaxnlist()·method.·Then·nlist·is·set·to\xd
134 ·················newnlist.\xd134 ·················newnlist.\xd
135 ·················Error·checking:·If·ivl·is·NULL,·or·if·newnlist·is·negative,·an·error·message·is·printed·and\xd135 ·················Error·checking:·If·ivl·is·NULL,·or·if·newnlist·is·negative,·an·error·message·is·printed·and\xd
136 ·················the·program·exits.\xd136 ·················the·program·exits.\xd
137 ············1.2.4··List·manipulation·methods\xd137 ············1.2.4··List·manipulation·methods\xd
138 ···············1.·void·IVL_listAndSize·(·IVL·*ivl,·int·ilist,·int·*psize,·int·**pivec)·;\xd138 ···············1.·void·IVL_listAndSize·(·IVL·*ivl,·int·ilist,·int·*psize,·int·**pivec)·;\xd
Offset 151, 15 lines modifiedOffset 151, 15 lines modified
151 ·················if·so·an·error·message·is·printed·and·the·program·exits.·In·method·IVL·firstInList(),·if\xd151 ·················if·so·an·error·message·is·printed·and·the·program·exits.·In·method·IVL·firstInList(),·if\xd
152 ·················sizes[ilist]·>·0·and·p·vec[ilist]·=·NULL,·an·error·message·is·printed·and·the·program\xd152 ·················sizes[ilist]·>·0·and·p·vec[ilist]·=·NULL,·an·error·message·is·printed·and·the·program\xd
153 ·················exits.·In·method·IVL·nextInList(),·if·pi·is·not·in·the·valid·range·for·list·ilist,·an·error\xd153 ·················exits.·In·method·IVL·nextInList(),·if·pi·is·not·in·the·valid·range·for·list·ilist,·an·error\xd
154 ·················message·is·printed·and·the·program·exits.\xd154 ·················message·is·printed·and·the·program·exits.\xd
155 ···············3.·void·IVL_setList·(·IVL·*ivl,·int·ilist,·int·isize,·int·ivec[]·)·;\xd155 ···············3.·void·IVL_setList·(·IVL·*ivl,·int·ilist,·int·isize,·int·ivec[]·)·;\xd
156 ·················This·method·sets·the·size·and·(possibly)·pointer·to·a·list·of·entries.·The·behavior·of·the\xd156 ·················This·method·sets·the·size·and·(possibly)·pointer·to·a·list·of·entries.·The·behavior·of·the\xd
157 ·················method·depends·on·the·type·of·the·ivl·object.·Here·is·the·flow·chart:\xd157 ·················method·depends·on·the·type·of·the·ivl·object.·Here·is·the·flow·chart:\xd
158 ··············6·····························IVL·:·DRAFT·January·7,·2024\xd158 ··············6·····························IVL·:·DRAFT·February·8,·2025\xd
159 ····························if·ilist·>=·maxnlist·then\xd159 ····························if·ilist·>=·maxnlist·then\xd
160 ·································the·number·of·lists·is·increased·via·a·call·to·IVL·setMaxnlist()\xd160 ·································the·number·of·lists·is·increased·via·a·call·to·IVL·setMaxnlist()\xd
161 ····························endif\xd161 ····························endif\xd
162 ····························if·ilist·>=·nlist·then\xd162 ····························if·ilist·>=·nlist·then\xd
163 ·································nlist·is·increased\xd163 ·································nlist·is·increased\xd
164 ····························endif\xd164 ····························endif\xd
165 ····························if·isize·=·0·then\xd165 ····························if·isize·=·0·then\xd
Offset 189, 15 lines modifiedOffset 189, 15 lines modified
189 ···················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd189 ···················Error·checking:·If·ivl·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
190 ················2.·int·IVL_min·(·IVL·*ivl·)·;\xd190 ················2.·int·IVL_min·(·IVL·*ivl·)·;\xd
191 ···················int·IVL_max·(·IVL·*ivl·)·;\xd191 ···················int·IVL_max·(·IVL·*ivl·)·;\xd
192 ···················int·IVL_maxListSize·(·IVL·*ivl·)·;\xd192 ···················int·IVL_maxListSize·(·IVL·*ivl·)·;\xd
193 ···················int·IVL_sum·(·IVL·*ivl·)·;\xd193 ···················int·IVL_sum·(·IVL·*ivl·)·;\xd
194 ···················These·methods·return·some·simple·information·about·the·object.\xd194 ···················These·methods·return·some·simple·information·about·the·object.\xd
195 ···················Error·checking:·If·ivl·is·NULL·then·an·error·message·is·printed·and·the·program·exits.\xd195 ···················Error·checking:·If·ivl·is·NULL·then·an·error·message·is·printed·and·the·program·exits.\xd
196 ········································IVL·:·DRAFT··January·7,·2024·····················7\xd196 ·······································IVL·:·DRAFT···February·8,·2025····················7\xd
197 ···············3.·int·IVL_sortUp·(·IVL·*ivl·)·;\xd197 ···············3.·int·IVL_sortUp·(·IVL·*ivl·)·;\xd
198 ·················This·method·sorts·each·list·into·ascending·order.\xd198 ·················This·method·sorts·each·list·into·ascending·order.\xd
199 ·················Error·checking:·If·ivl·is·NULL·or·nlist·<·0·then·an·error·message·is·printed·and·the·program\xd199 ·················Error·checking:·If·ivl·is·NULL·or·nlist·<·0·then·an·error·message·is·printed·and·the·program\xd
200 ·················exits.\xd200 ·················exits.\xd
201 ···············4.·int·*·IVL_equivMap1·(·IVL·*ivl·)·;\xd201 ···············4.·int·*·IVL_equivMap1·(·IVL·*ivl·)·;\xd
202 ·················IV·*·IVL_equivMap2·(·IVL·*ivl·)·;\xd202 ·················IV·*·IVL_equivMap2·(·IVL·*ivl·)·;\xd
203 ·················Two·lists·are·equivalent·if·their·contents·are·identical.·These·methods·are·used·to·find·the\xd203 ·················Two·lists·are·equivalent·if·their·contents·are·identical.·These·methods·are·used·to·find·the\xd
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226 ·················and·the·program·exits.\xd226 ·················and·the·program·exits.\xd
227 ···············8.·IVL·*·IVL_expand·(·IVL·*ivl,·IV·*eqmapIV·)·;\xd227 ···············8.·IVL·*·IVL_expand·(·IVL·*ivl,·IV·*eqmapIV·)·;\xd
228 ·················This·method·was·created·in·support·of·a·symbolic·factorization.·An·IVL·object·is·constructed\xd228 ·················This·method·was·created·in·support·of·a·symbolic·factorization.·An·IVL·object·is·constructed\xd
229 ·················using·a·compressed·graph.·it·must·be·expanded·to·reflect·the·compressed·graph.·The·number\xd229 ·················using·a·compressed·graph.·it·must·be·expanded·to·reflect·the·compressed·graph.·The·number\xd
230 ·················of·lists·does·not·change·(there·is·one·list·per·front)·but·the·size·of·each·list·may·change.·so\xd230 ·················of·lists·does·not·change·(there·is·one·list·per·front)·but·the·size·of·each·list·may·change.·so\xd
231 ·················we·create·and·return·a·new·IVL·object·that·contains·entries·for·the·uncompressed·graph.\xd231 ·················we·create·and·return·a·new·IVL·object·that·contains·entries·for·the·uncompressed·graph.\xd
232 ·················Error·checking:·If·ivl·or·eqmapIV·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd232 ·················Error·checking:·If·ivl·or·eqmapIV·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
233 ··············8·····························IVL·:·DRAFT·January·7,·2024\xd233 ··············8·····························IVL·:·DRAFT·February·8,·2025\xd
234 ··············1.2.6··Miscellaneous·methods\xd234 ··············1.2.6··Miscellaneous·methods\xd
235 ················1.·IVL·*·IVL_make9P·(·int·n1,·int·n2,·int·ncomp·)·;\xd235 ················1.·IVL·*·IVL_make9P·(·int·n1,·int·n2,·int·ncomp·)·;\xd
236 ···················This·method·returns·an·IVL·object·that·contains·the·full·adjacency·structure·for·a·9-point\xd236 ···················This·method·returns·an·IVL·object·that·contains·the·full·adjacency·structure·for·a·9-point\xd
237 ···················operator·on·a·n1×n2·grid·with·ncomp·components·at·each·grid·point.\xd237 ···················operator·on·a·n1×n2·grid·with·ncomp·components·at·each·grid·point.\xd
238 ···················Error·checking:·If·n1,·n2·or·ncomp·is·less·than·or·equal·to·zero,·an·error·message·is·printed\xd238 ···················Error·checking:·If·n1,·n2·or·ncomp·is·less·than·or·equal·to·zero,·an·error·message·is·printed\xd
239 ···················and·the·program·exits.\xd239 ···················and·the·program·exits.\xd
240 ················2.·IVL·*·IVL_make13P·(·int·n1,·int·n2·)·;\xd240 ················2.·IVL·*·IVL_make13P·(·int·n1,·int·n2·)·;\xd
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261 ···················and·returns·the·value·returned·from·the·called·routine.\xd261 ···················and·returns·the·value·returned·from·the·called·routine.\xd
262 ···················Error·checking:·If·ivl·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.ivlf·(for·a·formatted·file)\xd262 ···················Error·checking:·If·ivl·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.ivlf·(for·a·formatted·file)\xd
263 ···················or·*.ivlb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd263 ···················or·*.ivlb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd
264 ················2.·int·IVL_readFromFormattedFile·(·IVL·*ivl,·FILE·*fp·)·;\xd264 ················2.·int·IVL_readFromFormattedFile·(·IVL·*ivl,·FILE·*fp·)·;\xd
265 ···················This·method·reads·an·IVL·object·from·a·formatted·file.·If·there·are·no·errors·in·reading·the\xd265 ···················This·method·reads·an·IVL·object·from·a·formatted·file.·If·there·are·no·errors·in·reading·the\xd
266 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd266 ···················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fscanf,·zero·is·returned.\xd
267 ···················Error·checking:·If·ivl·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd267 ···················Error·checking:·If·ivl·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
268 ··············································IVL·:·DRAFT·····January·7,·2024···························9\xd268 ··············································IVL·:·DRAFT····February·8,·2025···························9\xd
269 ·················3.·int·IVL_readFromBinaryFile·(·IVL·*ivl,·FILE·*fp·)·;\xd269 ·················3.·int·IVL_readFromBinaryFile·(·IVL·*ivl,·FILE·*fp·)·;\xd
270 ····················This·method·reads·an·IVL·object·from·a·binary·file.·If·there·are·no·errors·in·reading·the·data,\xd270 ····················This·method·reads·an·IVL·object·from·a·binary·file.·If·there·are·no·errors·in·reading·the·data,\xd
271 ····················the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd271 ····················the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fread,·zero·is·returned.\xd
272 ····················Error·checking:·If·ivl·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd272 ····················Error·checking:·If·ivl·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
273 ·················4.·int·IVL_writeToFile·(·IVL·*ivl,·char·*fn·)·;\xd273 ·················4.·int·IVL_writeToFile·(·IVL·*ivl,·char·*fn·)·;\xd
274 ····················This·method·writes·an·IVL·object·to·a·file.·If·the·the·file·can·be·opened·successfully,·the\xd274 ····················This·method·writes·an·IVL·object·to·a·file.·If·the·the·file·can·be·opened·successfully,·the\xd
275 ····················method·calls·IVL·writeFromFormattedFile()·or·IVL·writeFromBinaryFile(),·closes·the\xd275 ····················method·calls·IVL·writeFromFormattedFile()·or·IVL·writeFromBinaryFile(),·closes·the\xd
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22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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16 ··············IV·iv·:·an·IV·object·to·hold·the·list·vector.\xd16 ··············IV·iv·:·an·IV·object·to·hold·the·list·vector.\xd
17 ···········A·correctly·initialized·and·nontrivial·Ideq·object·will·have·maxsize·>·0.·When·the·dequeue·is\xd17 ···········A·correctly·initialized·and·nontrivial·Ideq·object·will·have·maxsize·>·0.·When·the·dequeue·is\xd
18 ···········empty,·head·=·tail·=·-1.\xd18 ···········empty,·head·=·tail·=·-1.\xd
19 ···········1.2··Prototypes·and·descriptions·of·Ideq·methods\xd19 ···········1.2··Prototypes·and·descriptions·of·Ideq·methods\xd
20 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·Ideq\xd20 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·Ideq\xd
21 ···········object.\xd21 ···········object.\xd
22 ·············································1\xd22 ·············································1\xd
23 ··············2·····························Ideq·:·DRAFT·January·7,·2024\xd23 ··············2····························Ideq·:·DRAFT·February·8,·2025\xd
24 ··············1.2.1··Basic·methods\xd24 ··············1.2.1··Basic·methods\xd
25 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd25 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
26 ··············any·allocated·data,·and·free’ing·the·object.\xd26 ··············any·allocated·data,·and·free’ing·the·object.\xd
27 ················1.·Ideq·*·Ideq_new·(·void·)·;\xd27 ················1.·Ideq·*·Ideq_new·(·void·)·;\xd
28 ···················This·method·simply·allocates·storage·for·the·Ideq·structure·and·then·sets·the·default·fields\xd28 ···················This·method·simply·allocates·storage·for·the·Ideq·structure·and·then·sets·the·default·fields\xd
29 ···················by·a·call·to·Ideq·setDefaultFields().\xd29 ···················by·a·call·to·Ideq·setDefaultFields().\xd
30 ················2.·void·Ideq_setDefaultFields·(·Ideq·*deq·)·;\xd30 ················2.·void·Ideq_setDefaultFields·(·Ideq·*deq·)·;\xd
Offset 47, 15 lines modifiedOffset 47, 15 lines modified
47 ···················initializer.\xd47 ···················initializer.\xd
48 ···················If·the·present·size·of·the·list·(the·number·of·entries·between·head·and·tail·inclusive)·is·larger\xd48 ···················If·the·present·size·of·the·list·(the·number·of·entries·between·head·and·tail·inclusive)·is·larger\xd
49 ···················than·newsize,·the·method·returns·-1.·Otherwise,·a·new·int·vector·is·allocated·and·filled\xd49 ···················than·newsize,·the·method·returns·-1.·Otherwise,·a·new·int·vector·is·allocated·and·filled\xd
50 ···················with·the·entries·in·the·list.·The·old·int·vector·is·free’d,·the·new·vector·is·spliced·into·the·IV\xd50 ···················with·the·entries·in·the·list.·The·old·int·vector·is·free’d,·the·new·vector·is·spliced·into·the·IV\xd
51 ···················object,·and·the·head,·tail·and·maxsize·fields·are·set.·The·method·then·returns·1.\xd51 ···················object,·and·the·head,·tail·and·maxsize·fields·are·set.·The·method·then·returns·1.\xd
52 ···················Error·checking:·If·deq·is·NULL,·or·if·newsize·<·0,·an·error·message·is·printed·and·the·program\xd52 ···················Error·checking:·If·deq·is·NULL,·or·if·newsize·<·0,·an·error·message·is·printed·and·the·program\xd
53 ···················exits.\xd53 ···················exits.\xd
54 ······································Ideq·:·DRAFT···January·7,·2024····················3\xd54 ······································Ideq·:·DRAFT··February·8,·2025····················3\xd
55 ············1.2.3··Utility·methods\xd55 ············1.2.3··Utility·methods\xd
56 ··············1.·void·Ideq_clear·(·Ideq·*deq·)·;\xd56 ··············1.·void·Ideq_clear·(·Ideq·*deq·)·;\xd
57 ·················This·method·clears·the·dequeue.·The·head·and·tail·fields·are·set·to·-1.\xd57 ·················This·method·clears·the·dequeue.·The·head·and·tail·fields·are·set·to·-1.\xd
58 ·················Error·checking:·If·deq·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd58 ·················Error·checking:·If·deq·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
59 ··············2.·int·Ideq_head·(·Ideq·*deq·)·;\xd59 ··············2.·int·Ideq_head·(·Ideq·*deq·)·;\xd
60 ·················This·method·returns·the·value·at·the·head·of·the·list·without·removing·that·value.·If·head\xd60 ·················This·method·returns·the·value·at·the·head·of·the·list·without·removing·that·value.·If·head\xd
61 ·················==·-1·then·-1·is·returned.·Note,·the·list·may·be·nonempty·and·the·first·value·may·be·-1,·so\xd61 ·················==·-1·then·-1·is·returned.·Note,·the·list·may·be·nonempty·and·the·first·value·may·be·-1,·so\xd
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82 ·················may·signal·an·empty·list·or·a·terminating·element.\xd82 ·················may·signal·an·empty·list·or·a·terminating·element.\xd
83 ·················Error·checking:·If·deq·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd83 ·················Error·checking:·If·deq·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
84 ··············7.·int·Ideq_insertAtTail·(·Ideq·*deq,·int·val·)·;\xd84 ··············7.·int·Ideq_insertAtTail·(·Ideq·*deq,·int·val·)·;\xd
85 ·················This·method·inserts·a·value·val·into·the·list·at·the·tail·of·the·list.·If·there·is·no·room·in\xd85 ·················This·method·inserts·a·value·val·into·the·list·at·the·tail·of·the·list.·If·there·is·no·room·in\xd
86 ·················the·list,·-1·is·returned·and·the·dequeue·must·be·resized·using·the·Ideq·resize()·method.\xd86 ·················the·list,·-1·is·returned·and·the·dequeue·must·be·resized·using·the·Ideq·resize()·method.\xd
87 ·················Otherwise,·the·item·is·placed·into·the·list·and·1·is·returned.\xd87 ·················Otherwise,·the·item·is·placed·into·the·list·and·1·is·returned.\xd
88 ·················Error·checking:·If·deq·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd88 ·················Error·checking:·If·deq·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
89 ··············4·····························Ideq·:·DRAFT·January·7,·2024\xd89 ··············4····························Ideq·:·DRAFT·February·8,·2025\xd
90 ··············1.2.4··IO·methods\xd90 ··············1.2.4··IO·methods\xd
91 ················1.·void·Ideq_writeForHumanEye·(·Ideq·*deq·)·;\xd91 ················1.·void·Ideq_writeForHumanEye·(·Ideq·*deq·)·;\xd
92 ···················This·method·write·the·state·of·the·object,·(the·size,·head·and·tail)·and·the·list·of·entries·to\xd92 ···················This·method·write·the·state·of·the·object,·(the·size,·head·and·tail)·and·the·list·of·entries·to\xd
93 ···················a·file.\xd93 ···················a·file.\xd
94 ···················Error·checking:·If·deq·or·fp·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd94 ···················Error·checking:·If·deq·or·fp·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
95 ·······Index\xd95 ·······Index\xd
96 ·······Ideq·clear(),·3\xd96 ·······Ideq·clear(),·3\xd
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11 %%EndComments11 %%EndComments
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15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
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23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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28 ·······················be·efficient·to·have·sufficient·elbow·room·to·minimize·the·number·of·sorts·and·compressions.·In·this\xd28 ·······················be·efficient·to·have·sufficient·elbow·room·to·minimize·the·number·of·sorts·and·compressions.·In·this\xd
29 ·······················case,·a·tight·upper·bound·on·the·necessary·storage·is·the·sum·of·the·sizes·of·the·elemental·matrices.\xd29 ·······················case,·a·tight·upper·bound·on·the·necessary·storage·is·the·sum·of·the·sizes·of·the·elemental·matrices.\xd
30 ·······················The·entries·are·assembled·by·a·call·to·InpMtx·changeStorageMode().\xd30 ·······················The·entries·are·assembled·by·a·call·to·InpMtx·changeStorageMode().\xd
31 ··················································································T\xd31 ··················································································T\xd
32 ····················5.·CreateanIVLobjectthatcontainsthefull·adjacencyofA+A·bycallingtheInpMtx·fullAdjacency()\xd32 ····················5.·CreateanIVLobjectthatcontainsthefull·adjacencyofA+A·bycallingtheInpMtx·fullAdjacency()\xd
33 ·······················method.\xd33 ·······················method.\xd
34 ·····································································1\xd34 ·····································································1\xd
35 ················2···································InpMtx·:·DRAFT·January·7,·2024\xd35 ················2···································InpMtx·:·DRAFT·February·8,·2025\xd
36 ···················6.·Create·a·Graph·object·using·the·Graph·init2()·method·and·the·IVL·object·as·an·input·argument.\xd36 ···················6.·Create·a·Graph·object·using·the·Graph·init2()·method·and·the·IVL·object·as·an·input·argument.\xd
37 ················A·similar·functionality·exists·for·creating·a·Graph·object·from·a·linear·combination·of·two·InpMtx·objects\xd37 ················A·similar·functionality·exists·for·creating·a·Graph·object·from·a·linear·combination·of·two·InpMtx·objects\xd
38 ················that·contains·the·matrices·A·and·B.·The·InpMtx·fullAdjacency2()·method·returns·an·IVL·object·with\xd38 ················that·contains·the·matrices·A·and·B.·The·InpMtx·fullAdjacency2()·method·returns·an·IVL·object·with\xd
39 ················the·full·adjacency·of·(A+B)+(A+B)T.·These·two·methods·are·called·by·the·DPencil·fullAdjacency()\xd39 ················the·full·adjacency·of·(A+B)+(A+B)T.·These·two·methods·are·called·by·the·DPencil·fullAdjacency()\xd
40 ················methods·to·return·the·full·adjacency·of·a·matrix·pencil.\xd40 ················methods·to·return·the·full·adjacency·of·a·matrix·pencil.\xd
41 ···················Here·is·a·common·sequence·of·events·to·use·this·object·when·we·want·to·assemble·the·entries·of·a·sparse\xd41 ···················Here·is·a·common·sequence·of·events·to·use·this·object·when·we·want·to·assemble·the·entries·of·a·sparse\xd
42 ················matrix.\xd42 ················matrix.\xd
Offset 68, 15 lines modifiedOffset 68, 15 lines modified
68 ····································j,j··j,k·········k,j\xd68 ····································j,j··j,k·········k,j\xd
69 ·························INPMTX·CUSTOM··custom·coordinates.\xd69 ·························INPMTX·CUSTOM··custom·coordinates.\xd
70 ····················int·storageMode·:·mode·of·storage\xd70 ····················int·storageMode·:·mode·of·storage\xd
71 ·························INPMTX·RAW·DATA··data·is·raw·pairs·or·triples,·two·coordinates·and·(optionally)·one·or·two\xd71 ·························INPMTX·RAW·DATA··data·is·raw·pairs·or·triples,·two·coordinates·and·(optionally)·one·or·two\xd
72 ··························double·precision·values.\xd72 ··························double·precision·values.\xd
73 ·························INPMTX·SORTED··data·is·sorted·and·distinct·triples,·the·primary·key·is·the·first·coordinate,·the\xd73 ·························INPMTX·SORTED··data·is·sorted·and·distinct·triples,·the·primary·key·is·the·first·coordinate,·the\xd
74 ··························secondary·key·is·the·second·coordinate.\xd74 ··························secondary·key·is·the·second·coordinate.\xd
75 ···········································InpMtx·:·DRAFT··January·7,·2024························3\xd75 ··········································InpMtx·:·DRAFT···February·8,·2025·······················3\xd
76 ·····················INPMTX·BY·VECTORS··data·is·sorted·and·distinct·vectors.·All·entries·in·a·vector·share·some-\xd76 ·····················INPMTX·BY·VECTORS··data·is·sorted·and·distinct·vectors.·All·entries·in·a·vector·share·some-\xd
77 ······················thing·in·common.·For·example,·when·coordType·is·INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or\xd77 ······················thing·in·common.·For·example,·when·coordType·is·INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or\xd
78 ······················INPMTX·BY·CHEVRONS,·row·vectors,·column·vectors,·or·chevron·vectors·are·stored,·respectively.\xd78 ······················INPMTX·BY·CHEVRONS,·row·vectors,·column·vectors,·or·chevron·vectors·are·stored,·respectively.\xd
79 ······················WhencoordTypeis·INPMTX·CUSTOM,·a·custom·type,·entries·in·the·same·vector·have·something·in\xd79 ······················WhencoordTypeis·INPMTX·CUSTOM,·a·custom·type,·entries·in·the·same·vector·have·something·in\xd
80 ······················common·but·it·need·not·be·a·common·row,·column·or·chevron·coordinate.\xd80 ······················common·but·it·need·not·be·a·common·row,·column·or·chevron·coordinate.\xd
81 ·················int·inputMode·:·mode·of·data·input\xd81 ·················int·inputMode·:·mode·of·data·input\xd
82 ·····················INPMTX·INDICES·ONLY··only·indices·are·stored,·not·entries.\xd82 ·····················INPMTX·INDICES·ONLY··only·indices·are·stored,·not·entries.\xd
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106 ·················INPMTX·IS·BY·COLUMNS(mtx)·returns·1·if·the·entries·are·stored·by·columns,·and·0·otherwise.\xd106 ·················INPMTX·IS·BY·COLUMNS(mtx)·returns·1·if·the·entries·are·stored·by·columns,·and·0·otherwise.\xd
107 ·················INPMTX·IS·BY·CHEVRONS(mtx)·returns·1·if·the·entries·are·stored·by·chevrons,·and·0·otherwise.\xd107 ·················INPMTX·IS·BY·CHEVRONS(mtx)·returns·1·if·the·entries·are·stored·by·chevrons,·and·0·otherwise.\xd
108 ·················INPMTX·IS·BY·CUSTOM(mtx)·returns·1·if·the·entries·are·stored·by·some·custom·coordinate,·and·0\xd108 ·················INPMTX·IS·BY·CUSTOM(mtx)·returns·1·if·the·entries·are·stored·by·some·custom·coordinate,·and·0\xd
109 ··················otherwise.\xd109 ··················otherwise.\xd
110 ·················INPMTX·IS·RAW·DATA(mtx)·returns·1·if·the·entries·are·stored·as·unsorted·pairs·or·triples,·and·0·other-\xd110 ·················INPMTX·IS·RAW·DATA(mtx)·returns·1·if·the·entries·are·stored·as·unsorted·pairs·or·triples,·and·0·other-\xd
111 ··················wise.\xd111 ··················wise.\xd
112 ·················INPMTX·IS·SORTED(mtx)·returns·1·if·the·entries·are·stored·as·sorted·pairs·or·triples,·and·0·otherwise.\xd112 ·················INPMTX·IS·SORTED(mtx)·returns·1·if·the·entries·are·stored·as·sorted·pairs·or·triples,·and·0·otherwise.\xd
113 ··············4·····························InpMtx·:·DRAFT·January·7,·2024\xd113 ··············4····························InpMtx·:·DRAFT·February·8,·2025\xd
114 ·················INPMTX·IS·BY·VECTORS(mtx)·returns·1·if·the·entries·are·stored·as·vectors,·and·0·otherwise.\xd114 ·················INPMTX·IS·BY·VECTORS(mtx)·returns·1·if·the·entries·are·stored·as·vectors,·and·0·otherwise.\xd
115 ·················INPMTX·IS·INDICES·ONLY(mtx)·returns·1·if·the·entries·are·not·stored,·and·0·otherwise.\xd115 ·················INPMTX·IS·INDICES·ONLY(mtx)·returns·1·if·the·entries·are·not·stored,·and·0·otherwise.\xd
116 ·················INPMTX·IS·REAL·ENTRIES(mtx)·returns·1·if·the·entries·are·real,·and·0·otherwise.\xd116 ·················INPMTX·IS·REAL·ENTRIES(mtx)·returns·1·if·the·entries·are·real,·and·0·otherwise.\xd
117 ·················INPMTX·IS·COMPLEX·ENTRIES(mtx)·returns·1·if·the·entries·are·complex,·and·0·otherwise.\xd117 ·················INPMTX·IS·COMPLEX·ENTRIES(mtx)·returns·1·if·the·entries·are·complex,·and·0·otherwise.\xd
118 ··············1.2···Prototypes·and·descriptions·of·InpMtx·methods\xd118 ··············1.2···Prototypes·and·descriptions·of·InpMtx·methods\xd
119 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·InpMtx·object.\xd119 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·InpMtx·object.\xd
120 ··············1.2.1··Basic·methods\xd120 ··············1.2.1··Basic·methods\xd
Offset 140, 15 lines modifiedOffset 140, 15 lines modified
140 ················1.·int·InpMtx_coordType·(·InpMtx·*inpmtx·)·;\xd140 ················1.·int·InpMtx_coordType·(·InpMtx·*inpmtx·)·;\xd
141 ··················This·method·returns·the·coordinate·type.\xd141 ··················This·method·returns·the·coordinate·type.\xd
142 ·····················INPMTX·NO·TYPE··none·specified\xd142 ·····················INPMTX·NO·TYPE··none·specified\xd
143 ·····················INPMTX·BY·ROWS··storage·by·row·triples\xd143 ·····················INPMTX·BY·ROWS··storage·by·row·triples\xd
144 ·····················INPMTX·BY·COLUMNS··storage·by·column·triples\xd144 ·····················INPMTX·BY·COLUMNS··storage·by·column·triples\xd
145 ·····················INPMTX·BY·CHEVRONS··storage·by·chevron·triples\xd145 ·····················INPMTX·BY·CHEVRONS··storage·by·chevron·triples\xd
146 ·····················INPMTX·CUSTOM··custom·type\xd146 ·····················INPMTX·CUSTOM··custom·type\xd
147 ···········································InpMtx·:·DRAFT··January·7,·2024························5\xd147 ··········································InpMtx·:·DRAFT···February·8,·2025·······················5\xd
148 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd148 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
149 ················2.·int·InpMtx_storageMode·(·InpMtx·*inpmtx·)·;\xd149 ················2.·int·InpMtx_storageMode·(·InpMtx·*inpmtx·)·;\xd
150 ··················This·method·returns·the·storage·mode.\xd150 ··················This·method·returns·the·storage·mode.\xd
151 ·····················INPMTX·NO·MODE··none·specified\xd151 ·····················INPMTX·NO·MODE··none·specified\xd
152 ·····················INPMTX·RAW·DATA··raw·triples\xd152 ·····················INPMTX·RAW·DATA··raw·triples\xd
153 ·····················INPMTX·SORTED··sorted·and·distinct·triples\xd153 ·····················INPMTX·SORTED··sorted·and·distinct·triples\xd
154 ·····················INPMTX·BY·VECTORS··vectors·by·the·first·coordinate\xd154 ·····················INPMTX·BY·VECTORS··vectors·by·the·first·coordinate\xd
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176 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd176 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
177 ················9.·int·*·InpMtx_ivec1·(·InpMtx·*inpmtx·)·;\xd177 ················9.·int·*·InpMtx_ivec1·(·InpMtx·*inpmtx·)·;\xd
178 ··················This·method·returns·the·base·address·of·the·ivec1[]·vector.\xd178 ··················This·method·returns·the·base·address·of·the·ivec1[]·vector.\xd
179 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd179 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
180 ···············10.·int·*·InpMtx_ivec2·(·InpMtx·*inpmtx·)·;\xd180 ···············10.·int·*·InpMtx_ivec2·(·InpMtx·*inpmtx·)·;\xd
181 ··················This·method·returns·the·base·address·of·the·ivec2[]·vector.\xd181 ··················This·method·returns·the·base·address·of·the·ivec2[]·vector.\xd
182 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd182 ··················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
183 ·················6·····································InpMtx·:·DRAFT·January·7,·2024\xd183 ·················6·····································InpMtx·:·DRAFT·February·8,·2025\xd
184 ···················11.·double·*·InpMtx_dvec·(·InpMtx·*inpmtx·)·;\xd184 ···················11.·double·*·InpMtx_dvec·(·InpMtx·*inpmtx·)·;\xd
185 ·······················This·method·returns·the·base·address·of·the·dvec[]·vector.\xd185 ·······················This·method·returns·the·base·address·of·the·dvec[]·vector.\xd
186 ·······················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd186 ·······················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
187 ···················12.·int·*·InpMtx_vecids·(·InpMtx·*inpmtx·)·;\xd187 ···················12.·int·*·InpMtx_vecids·(·InpMtx·*inpmtx·)·;\xd
188 ·······················This·method·returns·the·base·address·of·the·vecids[]·vector.\xd188 ·······················This·method·returns·the·base·address·of·the·vecids[]·vector.\xd
189 ·······················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd189 ·······················Error·checking:·If·inpmtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
190 ···················13.·int·*·InpMtx_sizes·(·InpMtx·*inpmtx·)·;\xd190 ···················13.·int·*·InpMtx_sizes·(·InpMtx·*inpmtx·)·;\xd
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217 ·······················This·method·sets·the·maxinum·number·of·entries·in·the·indices·and·entries·vectors.\xd217 ·······················This·method·sets·the·maxinum·number·of·entries·in·the·indices·and·entries·vectors.\xd
218 ·······················Error·checking:·If·inpmtx·is·NULL,·or·if·newmaxnent·<·0,·an·error·message·is·printed·and·the·program\xd218 ·······················Error·checking:·If·inpmtx·is·NULL,·or·if·newmaxnent·<·0,·an·error·message·is·printed·and·the·program\xd
219 ·······················exits.\xd219 ·······················exits.\xd
220 ···················18.·void·InpMtx_setNent·(·InpMtx·*inpmtx,·int·newnent·)·;\xd220 ···················18.·void·InpMtx_setNent·(·InpMtx·*inpmtx,·int·newnent·)·;\xd
221 ·······················This·method·sets·the·present·number·of·entries·in·the·indices·and·entries·vectors.\xd221 ·······················This·method·sets·the·present·number·of·entries·in·the·indices·and·entries·vectors.\xd
222 ·······················Error·checking:·If·inpmtx·is·NULL,·or·if·newnent·<·0,·an·error·message·is·printed·and·the·program\xd222 ·······················Error·checking:·If·inpmtx·is·NULL,·or·if·newnent·<·0,·an·error·message·is·printed·and·the·program\xd
223 ·······················exits.\xd223 ·······················exits.\xd
224 ···········································InpMtx·:·DRAFT··January·7,·2024························7\xd224 ··········································InpMtx·:·DRAFT···February·8,·2025·······················7\xd
225 ···············19.·void·InpMtx_setMaxnvector·(·InpMtx·*inpmtx,·int·newmaxnvector·)·;\xd225 ···············19.·void·InpMtx_setMaxnvector·(·InpMtx·*inpmtx,·int·newmaxnvector·)·;\xd
226 ··················This·method·sets·the·maxinum·number·of·vectors.\xd226 ··················This·method·sets·the·maxinum·number·of·vectors.\xd
227 ··················Error·checking:·If·inpmtx·is·NULL,·or·if·newmaxnvector·<·0,·an·error·message·is·printed·and·the\xd227 ··················Error·checking:·If·inpmtx·is·NULL,·or·if·newmaxnvector·<·0,·an·error·message·is·printed·and·the\xd
228 ··················program·exits.\xd228 ··················program·exits.\xd
229 ···············20.·void·InpMtx_setNvector·(·InpMtx·*inpmtx,·int·newnvector·)·;\xd229 ···············20.·void·InpMtx_setNvector·(·InpMtx·*inpmtx,·int·newnvector·)·;\xd
230 ··················This·method·sets·the·present·number·of·vectors.\xd230 ··················This·method·sets·the·present·number·of·vectors.\xd
231 ··················Error·checking:·If·inpmtx·is·NULL,·or·if·newnvector·<·0,·an·error·message·is·printed·and·the·program\xd231 ··················Error·checking:·If·inpmtx·is·NULL,·or·if·newnvector·<·0,·an·error·message·is·printed·and·the·program\xd
Offset 261, 15 lines modifiedOffset 261, 15 lines modified
261 ··················exits.\xd261 ··················exits.\xd
262 ················3.·void·InpMtx_changeStorageMode·(·InpMtx·*inpmtx,·int·newMode·)·;\xd262 ················3.·void·InpMtx_changeStorageMode·(·InpMtx·*inpmtx,·int·newMode·)·;\xd
263 ··················If·storageMode·=·newMode,·the·method·returns.·Otherwise,·a·translation·between·the·three·valid\xd263 ··················If·storageMode·=·newMode,·the·method·returns.·Otherwise,·a·translation·between·the·three·valid\xd
264 ··················modes·is·made·by·calling·InpMtx·sortAndCompress()and·InpMtx·convertToVectors(),as·appropri-\xd264 ··················modes·is·made·by·calling·InpMtx·sortAndCompress()and·InpMtx·convertToVectors(),as·appropri-\xd
265 ··················ate.\xd265 ··················ate.\xd
266 ··················Error·checking:·If·inpmtx·is·NULL·or·newMode·is·invalid,·an·error·message·is·printed·and·the·program\xd266 ··················Error·checking:·If·inpmtx·is·NULL·or·newMode·is·invalid,·an·error·message·is·printed·and·the·program\xd
267 ··················exits.\xd267 ··················exits.\xd
268 ··············8·····························InpMtx·:·DRAFT·January·7,·2024\xd268 ··············8····························InpMtx·:·DRAFT·February·8,·2025\xd
269 ··············1.2.4··Input·methods\xd269 ··············1.2.4··Input·methods\xd
270 ················1.·void·InpMtx_inputEntry·(·InpMtx·*inpmtx,·int·row,·int·col·)·;\xd270 ················1.·void·InpMtx_inputEntry·(·InpMtx·*inpmtx,·int·row,·int·col·)·;\xd
271 ··················void·InpMtx_inputRealEntry·(·InpMtx·*inpmtx,·int·row,·int·col,·double·value·)·;\xd271 ··················void·InpMtx_inputRealEntry·(·InpMtx·*inpmtx,·int·row,·int·col,·double·value·)·;\xd
272 ··················void·InpMtx_inputComplexEntry·(·InpMtx·*inpmtx,·int·row,·int·col,\xd272 ··················void·InpMtx_inputComplexEntry·(·InpMtx·*inpmtx,·int·row,·int·col,\xd
273 ················································double·real,·double·imag·)·;\xd273 ················································double·real,·double·imag·)·;\xd
274 ··················This·method·places·a·single·entry·into·the·matrix·object.·The·coordinate·type·of·the·object·must·be\xd274 ··················This·method·places·a·single·entry·into·the·matrix·object.·The·coordinate·type·of·the·object·must·be\xd
275 ··················INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or·INPMTX·BY·CHEVRONS.·The·triple·is·formed·and·inserted·into\xd275 ··················INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or·INPMTX·BY·CHEVRONS.·The·triple·is·formed·and·inserted·into\xd
Offset 307, 15 lines modifiedOffset 307, 15 lines modified
307 ··················Error·checking:·If·inpmtx·is·NULL,·or·chv·or·chvsize·are·negative,·or·chvind·or·chvent·are·NULL,·an\xd307 ··················Error·checking:·If·inpmtx·is·NULL,·or·chv·or·chvsize·are·negative,·or·chvind·or·chvent·are·NULL,·an\xd
308 ··················error·message·is·printed·and·the·program·exits.\xd308 ··················error·message·is·printed·and·the·program·exits.\xd
309 ················5.·void·InpMtx_inputMatrix·(·InpMtx·*inpmtx,·int·nrow,·int·col,\xd309 ················5.·void·InpMtx_inputMatrix·(·InpMtx·*inpmtx,·int·nrow,·int·col,\xd
310 ·····················int·rowstride,·int·colstride,·int·rowind[],·int·colind[]·)·;\xd310 ·····················int·rowstride,·int·colstride,·int·rowind[],·int·colind[]·)·;\xd
311 ··················void·InpMtx_inputRealMatrix·(·InpMtx·*inpmtx,·int·nrow,·int·col,\xd311 ··················void·InpMtx_inputRealMatrix·(·InpMtx·*inpmtx,·int·nrow,·int·col,\xd
312 ·····················int·rowstride,·int·colstride,·int·rowind[],·int·colind[],·double·mtxent[]·)·;\xd312 ·····················int·rowstride,·int·colstride,·int·rowind[],·int·colind[],·double·mtxent[]·)·;\xd
313 ··················void·InpMtx_inputComplexMatrix·(·InpMtx·*inpmtx,·int·nrow,·int·col,\xd313 ··················void·InpMtx_inputComplexMatrix·(·InpMtx·*inpmtx,·int·nrow,·int·col,\xd
314 ·············································InpMtx·:·DRAFT····January·7,·2024·························9\xd314 ·············································InpMtx·:·DRAFT···February·8,·2025·························9\xd
315 ······················int·rowstride,·int·colstride,·int·rowind[],·int·colind[],·double·mtxent[]·)·;\xd315 ······················int·rowstride,·int·colstride,·int·rowind[],·int·colind[],·double·mtxent[]·)·;\xd
316 ···················This·method·places·a·dense·submatrix·into·the·matrix·object.·The·coordinate·type·of·the·object·must\xd316 ···················This·method·places·a·dense·submatrix·into·the·matrix·object.·The·coordinate·type·of·the·object·must\xd
317 ···················be·INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or·INPMTX·BY·CHEVRONS.·The·individual·entries·of·the·matrix\xd317 ···················be·INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or·INPMTX·BY·CHEVRONS.·The·individual·entries·of·the·matrix\xd
318 ···················are·placed·into·the·vector·storage·as·triples,·and·the·vectors·are·resized·if·necessary.\xd318 ···················are·placed·into·the·vector·storage·as·triples,·and·the·vectors·are·resized·if·necessary.\xd
319 ···················Error·checking:·If·inpmtx·is·NULL,·or·col·or·row·are·negative,·or·rowstride·or·colstride·are·less\xd319 ···················Error·checking:·If·inpmtx·is·NULL,·or·col·or·row·are·negative,·or·rowstride·or·colstride·are·less\xd
320 ···················than·1,·or·rowind,·colind·or·mtxent·are·NULL,·an·error·message·is·printed·and·the·program·exits.\xd320 ···················than·1,·or·rowind,·colind·or·mtxent·are·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
321 ·················6.·void·InpMtx_inputTriples·(·InpMtx·*inpmtx,·int·ntriples,\xd321 ·················6.·void·InpMtx_inputTriples·(·InpMtx·*inpmtx,·int·ntriples,\xd
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3437 dup·52·/four·put 
3438 dup·55·/seven·put3437 dup·53·/five·put
 3438 dup·56·/eight·put
3439 dup·65·/A·put3439 dup·65·/A·put
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3441 dup·67·/C·put3441 dup·67·/C·put
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3442 dup·71·/G·put3443 dup·71·/G·put
3443 dup·74·/J·put 
3444 dup·80·/P·put3444 dup·80·/P·put
3445 dup·82·/R·put3445 dup·82·/R·put
3446 dup·83·/S·put3446 dup·83·/S·put
3447 dup·97·/a·put3447 dup·97·/a·put
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3448 dup·99·/c·put3449 dup·99·/c·put
3449 dup·100·/d·put3450 dup·100·/d·put
3450 dup·101·/e·put3451 dup·101·/e·put
3451 dup·102·/f·put3452 dup·102·/f·put
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Offset 1, 13 lines modifiedOffset 1, 13 lines modified
1 ············································Wrapper·Objects·for·Solving\xd1 ············································Wrapper·Objects·for·Solving\xd
2 ···········································a·Linear·System·of·Equations\xd2 ···········································a·Linear·System·of·Equations\xd
3 ·················································using·SPOOLES·2.2\xd3 ·················································using·SPOOLES·2.2\xd
4 ··········································Cleve·Ashcraft······················Peter·Schartz\xd4 ··········································Cleve·Ashcraft······················Peter·Schartz\xd
5 ·································Boeing·Shared·Services·Group1·············CSARCorporation2\xd5 ·································Boeing·Shared·Services·Group1·············CSARCorporation2\xd
6 ························································January·7,·2024\xd6 ························································February·8,·2025\xd
7 ··················1P.·O.·Box·24346,·Mail·Stop·7L-21,·Seattle,·Washington·98124.·This·research·was·supported·in·part·by·the\xd7 ··················1P.·O.·Box·24346,·Mail·Stop·7L-21,·Seattle,·Washington·98124.·This·research·was·supported·in·part·by·the\xd
8 ················DARPAContract·DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common\xd8 ················DARPAContract·DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common\xd
9 ················HPCSoftware·Support·Initiative.\xd9 ················HPCSoftware·Support·Initiative.\xd
10 ··················228035·Dorothy·Drive,·Agoura·Hills,·CA·91301.·This·research·was·supported·in·part·by·the·DARPA·Contract\xd10 ··················228035·Dorothy·Drive,·Agoura·Hills,·CA·91301.·This·research·was·supported·in·part·by·the·DARPA·Contract\xd
11 ················DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software\xd11 ················DABT63-95-C-0122·and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software\xd
12 ················Support·Initiative.\xd12 ················Support·Initiative.\xd
13 ·····························Abstract\xd13 ·····························Abstract\xd
17.0 KB
./usr/share/doc/spooles-doc/Lock.ps.gz
16.9 KB
Lock.ps
    
Offset 10, 15 lines modifiedOffset 10, 15 lines modified
10 %%EndComments10 %%EndComments
11 %%BeginDefaults11 %%BeginDefaults
12 %%ViewingOrientation:·1·0·0·112 %%ViewingOrientation:·1·0·0·1
13 %%EndDefaults13 %%EndDefaults
14 %DVIPSWebPage:·(www.radicaleye.com)14 %DVIPSWebPage:·(www.radicaleye.com)
15 %DVIPSCommandLine:·dvips·main·-o·Lock.ps15 %DVIPSCommandLine:·dvips·main·-o·Lock.ps
16 %DVIPSParameters:·dpi=60016 %DVIPSParameters:·dpi=600
17 %DVIPSSource:··TeX·output·2024.01.07:164517 %DVIPSSource:··TeX·output·2025.02.08:2316
18 %%BeginProcSet:·tex.pro·0·018 %%BeginProcSet:·tex.pro·0·0
19 %!19 %!
20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
21 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7221 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1514, 20 lines modifiedOffset 1514, 21 lines modified
1514 /UnderlineThickness·50·def1514 /UnderlineThickness·50·def
1515 end·readonly·def1515 end·readonly·def
1516 /Encoding·256·array1516 /Encoding·256·array
1517 0·1·255·{1·index·exch·/.notdef·put}·for1517 0·1·255·{1·index·exch·/.notdef·put}·for
1518 dup·44·/comma·put1518 dup·44·/comma·put
1519 dup·48·/zero·put1519 dup·48·/zero·put
1520 dup·50·/two·put1520 dup·50·/two·put
1521 dup·52·/four·put 
1522 dup·55·/seven·put1521 dup·53·/five·put
 1522 dup·56·/eight·put
1523 dup·58·/colon·put1523 dup·58·/colon·put
1524 dup·74·/J·put1524 dup·70·/F·put
1525 dup·97·/a·put1525 dup·97·/a·put
 1526 dup·98·/b·put
1526 dup·110·/n·put1527 dup·101·/e·put
1527 dup·114·/r·put1528 dup·114·/r·put
1528 dup·117·/u·put1529 dup·117·/u·put
1529 dup·121·/y·put1530 dup·121·/y·put
1530 readonly·def1531 readonly·def
1531 currentdict·end1532 currentdict·end
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ps2ascii {}
    
Offset 19, 15 lines modifiedOffset 19, 15 lines modified
19 ···············int·nlocks·:·number·of·locks·made.\xd19 ···············int·nlocks·:·number·of·locks·made.\xd
20 ···············int·nunlocks·:·number·of·unlocks·made.\xd20 ···············int·nunlocks·:·number·of·unlocks·made.\xd
21 ···············the·mutual·exclusion·lock\xd21 ···············the·mutual·exclusion·lock\xd
22 ···············For·Solaris·threads·we·have·mutex·t·*mutex.\xd22 ···············For·Solaris·threads·we·have·mutex·t·*mutex.\xd
23 ···············For·POSIX·threads·we·have·pthread·mutex·t·*mutex.\xd23 ···············For·POSIX·threads·we·have·pthread·mutex·t·*mutex.\xd
24 ···············For·no·threads·we·have·void·*mutex.\xd24 ···············For·no·threads·we·have·void·*mutex.\xd
25 ·············································1\xd25 ·············································1\xd
26 ··············2·····························Lock·:·DRAFT·January·7,·2024\xd26 ··············2····························Lock·:·DRAFT·February·8,·2025\xd
27 ··············1.2···Prototypes·and·descriptions·of·Lock·methods\xd27 ··············1.2···Prototypes·and·descriptions·of·Lock·methods\xd
28 ··············1.2.1··Basic·methods\xd28 ··············1.2.1··Basic·methods\xd
29 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd29 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
30 ··············any·allocated·data,·and·free’ing·the·object.\xd30 ··············any·allocated·data,·and·free’ing·the·object.\xd
31 ················1.·Lock·*·Lock_new·(·void·)·;\xd31 ················1.·Lock·*·Lock_new·(·void·)·;\xd
32 ··················This·method·simply·allocates·storage·for·the·Lock·structure·and·then·sets·the·default·fields\xd32 ··················This·method·simply·allocates·storage·for·the·Lock·structure·and·then·sets·the·default·fields\xd
33 ··················by·a·call·to·Lock·setDefaultFields().\xd33 ··················by·a·call·to·Lock·setDefaultFields().\xd
Offset 53, 15 lines modifiedOffset 53, 15 lines modified
53 ··················thread·package,·lockflag·!=·0·means·the·lock·will·be·initialized·to·synchronize·only·threads\xd53 ··················thread·package,·lockflag·!=·0·means·the·lock·will·be·initialized·to·synchronize·only·threads\xd
54 ··················in·this·process.\xd54 ··················in·this·process.\xd
55 ··················Error·checking:·If·lock·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd55 ··················Error·checking:·If·lock·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
56 ··············1.2.3··Utility·methods\xd56 ··············1.2.3··Utility·methods\xd
57 ················1.·void·Lock_lock·(·Lock·*lock·)·;\xd57 ················1.·void·Lock_lock·(·Lock·*lock·)·;\xd
58 ··················This·method·locks·the·lock.\xd58 ··················This·method·locks·the·lock.\xd
59 ··················Error·checking:·If·lock·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd59 ··················Error·checking:·If·lock·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
60 ······································Lock·:·DRAFT···January·7,·2024····················3\xd60 ······································Lock·:·DRAFT··February·8,·2025····················3\xd
61 ··············2.·void·Lock_unlock·(·Lock·*lock·)·;\xd61 ··············2.·void·Lock_unlock·(·Lock·*lock·)·;\xd
62 ·················This·method·unlocks·the·lock.\xd62 ·················This·method·unlocks·the·lock.\xd
63 ·················Error·checking:·If·lock·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd63 ·················Error·checking:·If·lock·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
64 ·······Index\xd64 ·······Index\xd
65 ·······Lock·clearData(),·2\xd65 ·······Lock·clearData(),·2\xd
66 ·······Lock·free(),·2\xd66 ·······Lock·free(),·2\xd
67 ·······Lock·init(),·2\xd67 ·······Lock·init(),·2\xd
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./usr/share/doc/spooles-doc/MPI.ps.gz
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MPI.ps
    
Offset 11, 15 lines modifiedOffset 11, 15 lines modified
11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
13 %%ViewingOrientation:·1·0·0·113 %%ViewingOrientation:·1·0·0·1
14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·MPI.ps16 %DVIPSCommandLine:·dvips·main·-o·MPI.ps
17 %DVIPSParameters:·dpi=60017 %DVIPSParameters:·dpi=600
18 %DVIPSSource:··TeX·output·2024.01.07:164518 %DVIPSSource:··TeX·output·2025.02.08:2316
19 %%BeginProcSet:·tex.pro·0·019 %%BeginProcSet:·tex.pro·0·0
20 %!20 %!
21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1205, 20 lines modifiedOffset 1205, 21 lines modified
1205 /UnderlineThickness·50·def1205 /UnderlineThickness·50·def
1206 end·readonly·def1206 end·readonly·def
1207 /Encoding·256·array1207 /Encoding·256·array
1208 0·1·255·{1·index·exch·/.notdef·put}·for1208 0·1·255·{1·index·exch·/.notdef·put}·for
1209 dup·44·/comma·put1209 dup·44·/comma·put
1210 dup·48·/zero·put1210 dup·48·/zero·put
1211 dup·50·/two·put1211 dup·50·/two·put
1212 dup·52·/four·put 
1213 dup·55·/seven·put1212 dup·53·/five·put
 1213 dup·56·/eight·put
1214 dup·58·/colon·put1214 dup·58·/colon·put
1215 dup·74·/J·put1215 dup·70·/F·put
1216 dup·97·/a·put1216 dup·97·/a·put
 1217 dup·98·/b·put
1217 dup·110·/n·put1218 dup·101·/e·put
1218 dup·114·/r·put1219 dup·114·/r·put
1219 dup·117·/u·put1220 dup·117·/u·put
1220 dup·121·/y·put1221 dup·121·/y·put
1221 readonly·def1222 readonly·def
1222 currentdict·end1223 currentdict·end
1223 currentfile·eexec1224 currentfile·eexec
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Offset 31, 15 lines modifiedOffset 31, 15 lines modified
31 ·················scatter/added·into·Y.\xd31 ·················scatter/added·into·Y.\xd
32 ····················TheMatMulInfoobjectstoresallthenecessaryinformationtomakethishappen.·ThereisoneMatMulInfo\xd32 ····················TheMatMulInfoobjectstoresallthenecessaryinformationtomakethishappen.·ThereisoneMatMulInfo\xd
33 ·················object·per·processor.·It·has·the·following·fields.\xd33 ·················object·per·processor.·It·has·the·following·fields.\xd
34 ·····················symflag··symmetry·flag·for·A\xd34 ·····················symflag··symmetry·flag·for·A\xd
35 ··························0·(SPOOLES·SYMMETRIC)··symmetric·matrix\xd35 ··························0·(SPOOLES·SYMMETRIC)··symmetric·matrix\xd
36 ··························1·(SPOOLES·HERMITIAN)··hermitian·matrix\xd36 ··························1·(SPOOLES·HERMITIAN)··hermitian·matrix\xd
37 ·····································································1\xd37 ·····································································1\xd
38 ·················2·······································MPI·:·DRAFT·January·7,·2024\xd38 ·················2······································MPI·:·DRAFT·February·8,·2025\xd
39 ··························2·(SPOOLES·NONSYMMETRIC)··nonsymmetric·matrix\xd39 ··························2·(SPOOLES·NONSYMMETRIC)··nonsymmetric·matrix\xd
40 ·····················opflag··operation·flag·for·the·multiply\xd40 ·····················opflag··operation·flag·for·the·multiply\xd
41 ··························0·(MMM·WITH·A)··perform·Y·:=·Y·+αAX\xd41 ··························0·(MMM·WITH·A)··perform·Y·:=·Y·+αAX\xd
42 ··························1·(MMM·WITH·AT)··perform·Y·:=·Y·+αATX\xd42 ··························1·(MMM·WITH·AT)··perform·Y·:=·Y·+αATX\xd
43 ··························2·(MMM·WITH·AH)··perform·Y·:=·Y·+αAHX\xd43 ··························2·(MMM·WITH·AH)··perform·Y·:=·Y·+αAHX\xd
44 ·····················IV·*XownedIV··list·of·rows·of·X·that·are·owned·by·this·processor,·these·form·the·rows·of·Xq.\xd44 ·····················IV·*XownedIV··list·of·rows·of·X·that·are·owned·by·this·processor,·these·form·the·rows·of·Xq.\xd
45 ·····················IV·*XsupIV··list·of·rows·of·X·that·are·accessed·by·this·processor,·these·form·the·rows·of·Xq\xd45 ·····················IV·*XsupIV··list·of·rows·of·X·that·are·accessed·by·this·processor,·these·form·the·rows·of·Xq\xd
Offset 73, 15 lines modifiedOffset 73, 15 lines modified
73 ·················In·a·distributed·environment,·data·must·be·distributed,·and·sometimes·during·a·computation,·data·must·be\xd73 ·················In·a·distributed·environment,·data·must·be·distributed,·and·sometimes·during·a·computation,·data·must·be\xd
74 ·················re-distributed.·These·methods·split·and·redistribute·four·data·objects.\xd74 ·················re-distributed.·These·methods·split·and·redistribute·four·data·objects.\xd
75 ····················1.·void·DenseMtx_MPI_splitByRows·(·DenseMtx·*mtx,·IV·*mapIV,·int·stats[],·int·msglvl,\xd75 ····················1.·void·DenseMtx_MPI_splitByRows·(·DenseMtx·*mtx,·IV·*mapIV,·int·stats[],·int·msglvl,\xd
76 ·····························································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd76 ·····························································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd
77 ·······················This·method·splits·and·redistributes·the·DenseMtx·object·based·on·the·mapIV·object·that·maps·rows·to\xd77 ·······················This·method·splits·and·redistributes·the·DenseMtx·object·based·on·the·mapIV·object·that·maps·rows·to\xd
78 ·······················processes.·The·messages·that·will·be·sent·require·nproc·consecutive·tags··the·first·is·the·parameter\xd78 ·······················processes.·The·messages·that·will·be·sent·require·nproc·consecutive·tags··the·first·is·the·parameter\xd
79 ·······················firsttag.·On·return,·the·stats[]·vector·contains·the·following·information.\xd79 ·······················firsttag.·On·return,·the·stats[]·vector·contains·the·following·information.\xd
80 ············································MPI·:·DRAFT···January·7,·2024·························3\xd80 ············································MPI·:·DRAFT··February·8,·2025·························3\xd
81 ··························stats[0]··#ofmessagessent··········stats[1]···#ofbytessent\xd81 ··························stats[0]··#ofmessagessent··········stats[1]···#ofbytessent\xd
82 ··························stats[2]··#ofmessagesreceived······stats[3]···#ofbytesreceived\xd82 ··························stats[2]··#ofmessagesreceived······stats[3]···#ofbytesreceived\xd
83 ··················Note,·the·values·in·stats[]·are·incremented,·i.e.,·the·stats[]·vector·is·not·zeroed·at·the·start·of·the\xd83 ··················Note,·the·values·in·stats[]·are·incremented,·i.e.,·the·stats[]·vector·is·not·zeroed·at·the·start·of·the\xd
84 ··················method,·and·so·can·be·used·to·accumulated·information·with·multiple·calls.\xd84 ··················method,·and·so·can·be·used·to·accumulated·information·with·multiple·calls.\xd
85 ··················Error·checking:·If·mtx·or·rowmapIV·is·NULL,·or·if·msglvl·>·0·and·msgFile·is·NULL,·or·if·firsttag·<\xd85 ··················Error·checking:·If·mtx·or·rowmapIV·is·NULL,·or·if·msglvl·>·0·and·msgFile·is·NULL,·or·if·firsttag·<\xd
86 ··················0·or·firsttag·+·nproc·is·larger·than·the·largest·available·tag,·an·error·message·is·printed·and·the\xd86 ··················0·or·firsttag·+·nproc·is·larger·than·the·largest·available·tag,·an·error·message·is·printed·and·the\xd
87 ··················program·exits.\xd87 ··················program·exits.\xd
Offset 117, 15 lines modifiedOffset 117, 15 lines modified
117 ··················use·the·chevron·coordinate·type·to·store·the·matrix·entries.·This·method·will·redistribute·a·matrix\xd117 ··················use·the·chevron·coordinate·type·to·store·the·matrix·entries.·This·method·will·redistribute·a·matrix\xd
118 ··················by·rows·if·the·coordinate·type·is·1·(for·rows)·and·mapIV·is·a·row·map.·Similarly,·this·method·will\xd118 ··················by·rows·if·the·coordinate·type·is·1·(for·rows)·and·mapIV·is·a·row·map.·Similarly,·this·method·will\xd
119 ··················redistribute·a·matrix·by·columns·if·the·coordinate·type·is·2·(for·columns)·and·mapIV·is·a·column·map.\xd119 ··················redistribute·a·matrix·by·columns·if·the·coordinate·type·is·2·(for·columns)·and·mapIV·is·a·column·map.\xd
120 ··················See·the·InpMtx·object·for·details.·The·messages·that·will·be·sent·require·nproc·consecutive·tags··the\xd120 ··················See·the·InpMtx·object·for·details.·The·messages·that·will·be·sent·require·nproc·consecutive·tags··the\xd
121 ··················first·is·the·parameter·firsttag.·On·return,·the·stats[]·vector·contains·the·following·information.\xd121 ··················first·is·the·parameter·firsttag.·On·return,·the·stats[]·vector·contains·the·following·information.\xd
122 ··························stats[0]··#ofmessagessent··········stats[1]···#ofbytessent\xd122 ··························stats[0]··#ofmessagessent··········stats[1]···#ofbytessent\xd
123 ··························stats[2]··#ofmessagesreceived······stats[3]···#ofbytesreceived\xd123 ··························stats[2]··#ofmessagesreceived······stats[3]···#ofbytesreceived\xd
124 ··············4································MPI·:·DRAFT·January·7,·2024\xd124 ··············4································MPI·:·DRAFT·February·8,·2025\xd
125 ···················Note,·the·values·in·stats[]·are·incremented,·i.e.,·the·stats[]·vector·is·not·zeroed·at·the·start·of·the\xd125 ···················Note,·the·values·in·stats[]·are·incremented,·i.e.,·the·stats[]·vector·is·not·zeroed·at·the·start·of·the\xd
126 ···················method,·and·so·can·be·used·to·accumulated·information·with·multiple·calls.\xd126 ···················method,·and·so·can·be·used·to·accumulated·information·with·multiple·calls.\xd
127 ···················Error·checking:·If·firsttag·<·0·or·firsttag·+·nproc·is·larger·than·the·largest·available·tag,·an\xd127 ···················Error·checking:·If·firsttag·<·0·or·firsttag·+·nproc·is·larger·than·the·largest·available·tag,·an\xd
128 ···················error·message·is·printed·and·the·program·exits.\xd128 ···················error·message·is·printed·and·the·program·exits.\xd
129 ················5.·InpMtx·*·InpMtx_MPI_splitFromGlobal·(·InpMtx·*Aglobal,·InpMtx·*Alocal,\xd129 ················5.·InpMtx·*·InpMtx_MPI_splitFromGlobal·(·InpMtx·*Aglobal,·InpMtx·*Alocal,\xd
130 ·························································IV·*mapIV,·int·root,·int·stats[],·int·msglvl,\xd130 ·························································IV·*mapIV,·int·root,·int·stats[],·int·msglvl,\xd
131 ·························································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd131 ·························································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd
Offset 158, 15 lines modifiedOffset 158, 15 lines modified
158 ···················knownpriortoenteringthis·method.·Onreturn,·the·stats[]vectorcontainsthe·followinginformation.\xd158 ···················knownpriortoenteringthis·method.·Onreturn,·the·stats[]vectorcontainsthe·followinginformation.\xd
159 ···························stats[0]···#ofmessagessent···········stats[1]···#ofbytessent\xd159 ···························stats[0]···#ofmessagessent···········stats[1]···#ofbytessent\xd
160 ···························stats[2]···#ofmessagesreceived·······stats[3]···#ofbytesreceived\xd160 ···························stats[2]···#ofmessagesreceived·······stats[3]···#ofbytesreceived\xd
161 ···················Note,·the·values·in·stats[]·are·incremented,·i.e.,·the·stats[]·vector·is·not·zeroed·at·the·start·of·the\xd161 ···················Note,·the·values·in·stats[]·are·incremented,·i.e.,·the·stats[]·vector·is·not·zeroed·at·the·start·of·the\xd
162 ···················method,·and·so·can·be·used·to·accumulated·information·with·multiple·calls.\xd162 ···················method,·and·so·can·be·used·to·accumulated·information·with·multiple·calls.\xd
163 ···················Error·checking:·If·mtx·or·rowmapIV·is·NULL,·or·if·msglvl·>·0·and·msgFile·is·NULL,·or·if·firsttag·<\xd163 ···················Error·checking:·If·mtx·or·rowmapIV·is·NULL,·or·if·msglvl·>·0·and·msgFile·is·NULL,·or·if·firsttag·<\xd
164 ···················0·is·larger·than·the·largest·available·tag,·an·error·message·is·printed·and·the·program·exits.\xd164 ···················0·is·larger·than·the·largest·available·tag,·an·error·message·is·printed·and·the·program·exits.\xd
165 ························································MPI·:·DRAFT······January·7,·2024····································5\xd165 ························································MPI·:·DRAFT······February·8,·2025···································5\xd
166 ·················1.2.2·····Gather·and·scatter·methods\xd166 ·················1.2.2·····Gather·and·scatter·methods\xd
167 ·················These·method·gather·and·scatter/add·rows·of·DenseMtx·objects.·These·operations·are·performed·during·the\xd167 ·················These·method·gather·and·scatter/add·rows·of·DenseMtx·objects.·These·operations·are·performed·during·the\xd
168 ·················distributed·matrix-matrixmultiply.·ThegatheroperationXq·········←XisperformedbyDenseMtx·MPI·gatherRows(),\xd168 ·················distributed·matrix-matrixmultiply.·ThegatheroperationXq·········←XisperformedbyDenseMtx·MPI·gatherRows(),\xd
169 ······························································P·············supp\xd169 ······························································P·············supp\xd
170 ·················while·the·scatter/add·operation·Y·q·:=·Y·q·+·····Yr····is·performed·by·DenseMtx·MPI·scatterAddRows().\xd170 ·················while·the·scatter/add·operation·Y·q·:=·Y·q·+·····Yr····is·performed·by·DenseMtx·MPI·scatterAddRows().\xd
171 ································································r··supp\xd171 ································································r··supp\xd
172 ····················1.·void·DenseMtx_MPI_gatherRows·(·DenseMtx·*Y,·DenseMtx·*X,·IVL·*sendIVL,\xd172 ····················1.·void·DenseMtx_MPI_gatherRows·(·DenseMtx·*Y,·DenseMtx·*X,·IVL·*sendIVL,\xd
Offset 202, 15 lines modifiedOffset 202, 15 lines modified
202 ·················1.2.3·····Symbolic·Factorization·methods\xd202 ·················1.2.3·····Symbolic·Factorization·methods\xd
203 ····················1.·IVL·*·SymbFac_MPI_initFromInpMtx·(·ETree·*etree,·IV·*frontOwnersIV,\xd203 ····················1.·IVL·*·SymbFac_MPI_initFromInpMtx·(·ETree·*etree,·IV·*frontOwnersIV,\xd
204 ·································································InpMtx·*inpmtx,·int·stats[],·int·msglvl,\xd204 ·································································InpMtx·*inpmtx,·int·stats[],·int·msglvl,\xd
205 ·································································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd205 ·································································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd
206 ·······················IVL·*·SymbFac_MPI_initFromPencil·(·ETree·*etree,·IV·*frontOwnersIV,\xd206 ·······················IVL·*·SymbFac_MPI_initFromPencil·(·ETree·*etree,·IV·*frontOwnersIV,\xd
207 ·································································Pencil·*pencil,·int·stats[],·int·msglvl,\xd207 ·································································Pencil·*pencil,·int·stats[],·int·msglvl,\xd
208 ·································································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd208 ·································································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd
209 ················6·····································MPI·:·DRAFT·January·7,·2024\xd209 ················6·····································MPI·:·DRAFT·February·8,·2025\xd
210 ······················ThesemethodsareusedinplaceoftheSymbfac·initFrom{InpMtx,Pencil}()methodstocomputethe\xd210 ······················ThesemethodsareusedinplaceoftheSymbfac·initFrom{InpMtx,Pencil}()methodstocomputethe\xd
211 ······················symbolic·factorization.·The·ETree·object·is·assumed·to·be·replicated·over·the·processes.·The·InpMtx\xd211 ······················symbolic·factorization.·The·ETree·object·is·assumed·to·be·replicated·over·the·processes.·The·InpMtx\xd
212 ······················and·Pencil·objects·are·partitioned·among·the·processes.·Therefore,·to·compute·the·IVL·object·that\xd212 ······················and·Pencil·objects·are·partitioned·among·the·processes.·Therefore,·to·compute·the·IVL·object·that\xd
213 ······················contains·the·symbolic·factorization·is·a·distributed,·cooperative·process.·At·the·end·of·the·symbolic\xd213 ······················contains·the·symbolic·factorization·is·a·distributed,·cooperative·process.·At·the·end·of·the·symbolic\xd
214 ······················factorization,·each·process·will·own·a·portion·of·the·IVL·object.·The·IVL·object·is·neither·replicated\xd214 ······················factorization,·each·process·will·own·a·portion·of·the·IVL·object.·The·IVL·object·is·neither·replicated\xd
215 ······················nor·partitioned·(except·in·trivial·cases),·but·the·IVL·object·on·each·process·contains·just·a·portion,\xd215 ······················nor·partitioned·(except·in·trivial·cases),·but·the·IVL·object·on·each·process·contains·just·a·portion,\xd
216 ······················usually·not·much·more·than·what·it·needs·to·know·for·its·part·of·the·factorization·and·solves.\xd216 ······················usually·not·much·more·than·what·it·needs·to·know·for·its·part·of·the·factorization·and·solves.\xd
Offset 247, 15 lines modifiedOffset 247, 15 lines modified
247 ·····························cpus[0]······initialize·fronts···········cpus[7]·······extract·postponed·data\xd247 ·····························cpus[0]······initialize·fronts···········cpus[7]·······extract·postponed·data\xd
248 ·····························cpus[1]······load·original·entries·······cpus[8]·······store·factor·entries\xd248 ·····························cpus[1]······load·original·entries·······cpus[8]·······store·factor·entries\xd
249 ·····························cpus[2]······update·fronts···············cpus[9]·······post·initial·receives\xd249 ·····························cpus[2]······update·fronts···············cpus[9]·······post·initial·receives\xd
250 ·····························cpus[3]······insert·aggregate·data······cpus[10]·······check·for·received·messages\xd250 ·····························cpus[3]······insert·aggregate·data······cpus[10]·······check·for·received·messages\xd
251 ·····························cpus[4]······assemble·aggregate·data····cpus[11]·······post·initial·sends\xd251 ·····························cpus[4]······assemble·aggregate·data····cpus[11]·······post·initial·sends\xd
252 ·····························cpus[5]······assemble·postponed·data····cpus[12]·······check·for·sent·messages\xd252 ·····························cpus[5]······assemble·postponed·data····cpus[12]·······check·for·sent·messages\xd
253 ·····························cpus[6]······factor·fronts\xd253 ·····························cpus[6]······factor·fronts\xd
254 ············································MPI·:·DRAFT···January·7,·2024·························7\xd254 ············································MPI·:·DRAFT··February·8,·2025·························7\xd
255 ··················Onreturn,·the·stats[]·vector·has·the·following·information.\xd255 ··················Onreturn,·the·stats[]·vector·has·the·following·information.\xd
256 ···································stats[0]···#ofpivots\xd256 ···································stats[0]···#ofpivots\xd
257 ···································stats[1]···#ofpivot·tests\xd257 ···································stats[1]···#ofpivot·tests\xd
258 ···································stats[2]···#ofdelayed·rows·and·columns\xd258 ···································stats[2]···#ofdelayed·rows·and·columns\xd
259 ···································stats[3]···#ofentries·in·D\xd259 ···································stats[3]···#ofentries·in·D\xd
260 ···································stats[4]···#ofentries·in·L\xd260 ···································stats[4]···#ofentries·in·L\xd
261 ···································stats[5]···#ofentries·in·U\xd261 ···································stats[5]···#ofentries·in·U\xd
Offset 293, 15 lines modifiedOffset 293, 15 lines modified
293 ··················Error·checking:·If·frontmtx,·frontOwnersIV·or·stats·is·NULL,·or·if·firsttag·<·0·or·firsttag·+\xd293 ··················Error·checking:·If·frontmtx,·frontOwnersIV·or·stats·is·NULL,·or·if·firsttag·<·0·or·firsttag·+\xd
294 ··················nproc,·is·larger·than·the·largest·available·tag,·or·if·msglvl·>·0·and·msgFile·is·NULL,·an·error·message\xd294 ··················nproc,·is·larger·than·the·largest·available·tag,·or·if·msglvl·>·0·and·msgFile·is·NULL,·an·error·message\xd
295 ··················is·printed·and·the·program·exits.\xd295 ··················is·printed·and·the·program·exits.\xd
296 ················3.·void·IV_MPI_allgather·(·IV·*iv,·IV·*ownersIV,·int·stats[],·int·msglvl,\xd296 ················3.·void·IV_MPI_allgather·(·IV·*iv,·IV·*ownersIV,·int·stats[],·int·msglvl,\xd
297 ·········································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd297 ·········································FILE·*msgFile,·int·firsttag,·MPI_Comm·comm·)·;\xd
298 ··················After·a·factorization·with·pivoting,·the·frontsizesIVobject·needs·to·be·made·globalon·eachprocessor.\xd298 ··················After·a·factorization·with·pivoting,·the·frontsizesIVobject·needs·to·be·made·globalon·eachprocessor.\xd
299 ··················This·methods·takes·the·individual·entries·of·an·IV·object·whose·owners·are·specified·by·the·ownersIV\xd299 ··················This·methods·takes·the·individual·entries·of·an·IV·object·whose·owners·are·specified·by·the·ownersIV\xd
300 ···············8···································MPI·:·DRAFT·January·7,·2024\xd300 ···············8··································MPI·:·DRAFT·February·8,·2025\xd
301 ····················object,·and·communicates·the·entries·around·the·processors·until·the·global·IV·object·is·present·on\xd301 ····················object,·and·communicates·the·entries·around·the·processors·until·the·global·IV·object·is·present·on\xd
302 ····················each.·The·messagesthat·will·be·sent·require·at·most·nprocconsecutive·tags··the·first·is·the·parameter\xd302 ····················each.·The·messagesthat·will·be·sent·require·at·most·nprocconsecutive·tags··the·first·is·the·parameter\xd
303 ····················firsttag.\xd303 ····················firsttag.\xd
304 ····················Error·checking:·If·iv,·ownersIV·or·stats·is·NULL,·or·if·firsttag·<·0·or·firsttag·+·nproc,·is·larger\xd304 ····················Error·checking:·If·iv,·ownersIV·or·stats·is·NULL,·or·if·firsttag·<·0·or·firsttag·+·nproc,·is·larger\xd
305 ····················than·the·largest·available·tag,·or·if·msglvl·>·0·and·msgFile·is·NULL,·an·error·message·is·printed·and\xd305 ····················than·the·largest·available·tag,·or·if·msglvl·>·0·and·msgFile·is·NULL,·an·error·message·is·printed·and\xd
306 ····················the·program·exits.\xd306 ····················the·program·exits.\xd
307 ··················4.·void·IVL_MPI_allgather·(·IVL·*ivl,·IV·*ownersIV,·int·stats[],·int·msglvl,\xd307 ··················4.·void·IVL_MPI_allgather·(·IVL·*ivl,·IV·*ownersIV,·int·stats[],·int·msglvl,\xd
Offset 334, 15 lines modifiedOffset 334, 15 lines modified
334 ···········································stats[4]····#ofsolution·messages·received\xd334 ···········································stats[4]····#ofsolution·messages·received\xd
335 ···········································stats[5]····#ofaggregatemessages·received\xd335 ···········································stats[5]····#ofaggregatemessages·received\xd
336 ···········································stats[6]····#ofsolution·bytes·received\xd336 ···········································stats[6]····#ofsolution·bytes·received\xd
337 ···········································stats[7]····#ofaggregatebytes·received\xd337 ···········································stats[7]····#ofaggregatebytes·received\xd
338 ····················Error·checking:·If·frontmtx,·mtxX,mtxB,·mtxmanager,solvemap,cpusorstatsisNULL,oriffirsttag\xd338 ····················Error·checking:·If·frontmtx,·mtxX,mtxB,·mtxmanager,solvemap,cpusorstatsisNULL,oriffirsttag\xd
339 ····················<·0·or·firsttag·+·2*nfront·is·larger·than·the·largest·available·tag,·or·if·msglvl·>·0·and·msgFile\xd339 ····················<·0·or·firsttag·+·2*nfront·is·larger·than·the·largest·available·tag,·or·if·msglvl·>·0·and·msgFile\xd
340 ····················is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd340 ····················is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
341 ············································MPI·:·DRAFT···January·7,·2024·························9\xd341 ············································MPI·:·DRAFT··February·8,·2025·························9\xd
342 ··············1.2.7··Matrix-matrix·multiply·methods\xd342 ··············1.2.7··Matrix-matrix·multiply·methods\xd
343 ··············The·usual·sequence·of·events·is·as·follows.\xd343 ··············The·usual·sequence·of·events·is·as·follows.\xd
344 ·················Set·up·the·data·structure·via·a·call·to·MatMul·MPI·setup().\xd344 ·················Set·up·the·data·structure·via·a·call·to·MatMul·MPI·setup().\xd
345 ·················Convert·the·local·Aq·matrix·to·local·indices·via·a·call·to·MatMul·setLocalIndices().\xd345 ·················Convert·the·local·Aq·matrix·to·local·indices·via·a·call·to·MatMul·setLocalIndices().\xd
346 ·················Compute·the·matrix-matrix·multiply·with·a·call·to·MatMul·MPI·mmm().·Inside·this·method,·the·MPI\xd346 ·················Compute·the·matrix-matrix·multiply·with·a·call·to·MatMul·MPI·mmm().·Inside·this·method,·the·MPI\xd
347 ··················methods·DenseMtx·MPI·gatherRows()and·DenseMtx·MPI·scatterAddRows()are·called,·along·with·a\xd347 ··················methods·DenseMtx·MPI·gatherRows()and·DenseMtx·MPI·scatterAddRows()are·called,·along·with·a\xd
348 ··················serial·InpMtx·matrix-matrix·multiply·method.\xd348 ··················serial·InpMtx·matrix-matrix·multiply·method.\xd
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11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
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14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·MSMD.ps16 %DVIPSCommandLine:·dvips·main·-o·MSMD.ps
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19 %%BeginProcSet:·tex.pro·0·019 %%BeginProcSet:·tex.pro·0·0
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21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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1228 /UnderlineThickness·50·def1228 /UnderlineThickness·50·def
1229 end·readonly·def1229 end·readonly·def
1230 /Encoding·256·array1230 /Encoding·256·array
1231 0·1·255·{1·index·exch·/.notdef·put}·for1231 0·1·255·{1·index·exch·/.notdef·put}·for
1232 dup·44·/comma·put1232 dup·44·/comma·put
1233 dup·48·/zero·put1233 dup·48·/zero·put
1234 dup·50·/two·put1234 dup·50·/two·put
1235 dup·52·/four·put 
1236 dup·55·/seven·put1235 dup·53·/five·put
 1236 dup·56·/eight·put
1237 dup·58·/colon·put1237 dup·58·/colon·put
1238 dup·74·/J·put1238 dup·70·/F·put
1239 dup·97·/a·put1239 dup·97·/a·put
 1240 dup·98·/b·put
1240 dup·110·/n·put1241 dup·101·/e·put
1241 dup·114·/r·put1242 dup·114·/r·put
1242 dup·117·/u·put1243 dup·117·/u·put
1243 dup·121·/y·put1244 dup·121·/y·put
1244 readonly·def1245 readonly·def
1245 currentdict·end1246 currentdict·end
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Offset 21, 15 lines modifiedOffset 21, 15 lines modified
21 ·····················approximate·external·degree,·(d·from·[?])·and·[?],·or\xd21 ·····················approximate·external·degree,·(d·from·[?])·and·[?],·or\xd
22 ······························································˜\xd22 ······························································˜\xd
23 ·····················half·external·and·half·approximate,·(d·from·[?]),·or\xd23 ·····················half·external·and·half·approximate,·(d·from·[?]),·or\xd
24 ·····················a·constant·priority·(to·induce·maximal·independent·set·elimination).\xd24 ·····················a·constant·priority·(to·induce·maximal·independent·set·elimination).\xd
25 ···················1The·ETree·object·has·the·Tree·object·that·defines·the·connectivity·of·the·fronts,·knows·the·internal·and·external\xd25 ···················1The·ETree·object·has·the·Tree·object·that·defines·the·connectivity·of·the·fronts,·knows·the·internal·and·external\xd
26 ················size·of·each·front,·and·has·a·map·from·the·vertices·to·the·fronts.\xd26 ················size·of·each·front,·and·has·a·map·from·the·vertices·to·the·fronts.\xd
27 ···································································1\xd27 ···································································1\xd
28 ···········2·······················MSMD·:·DRAFT·January·7,·2024\xd28 ···········2·······················MSMD·:·DRAFT·February·8,·2025\xd
29 ···········We·intend·to·add·more·priorities,·e.g.,·approximate·deficiency·from·[?],·[?]·and·[?].\xd29 ···········We·intend·to·add·more·priorities,·e.g.,·approximate·deficiency·from·[?],·[?]·and·[?].\xd
30 ··············Choose·a·priority,·then·specify·the·definition·of·a·step,·how·to·choose·an·independent·set·of\xd30 ··············Choose·a·priority,·then·specify·the·definition·of·a·step,·how·to·choose·an·independent·set·of\xd
31 ···········vertices·to·eliminate·at·a·time.·Then·provide·a·map·from·each·vertex·to·the·stage·at·which·it·will\xd31 ···········vertices·to·eliminate·at·a·time.·Then·provide·a·map·from·each·vertex·to·the·stage·at·which·it·will\xd
32 ···········be·eliminated.\xd32 ···········be·eliminated.\xd
33 ··············Presently·there·is·one·ordering·method,·MSMD·order().·It·orders·the·vertices·by·stages,·i.e.\xd33 ··············Presently·there·is·one·ordering·method,·MSMD·order().·It·orders·the·vertices·by·stages,·i.e.\xd
34 ···········vertices·in·stage·k·will·be·ordered·before·vertices·in·stage·k·+·1.·Inside·each·stage·the·vertices·are\xd34 ···········vertices·in·stage·k·will·be·ordered·before·vertices·in·stage·k·+·1.·Inside·each·stage·the·vertices·are\xd
35 ···········ordered·by·steps.·At·each·step·an·independent·set·of·vertices·is·eliminated,·and·the·choice·is·based\xd35 ···········ordered·by·steps.·At·each·step·an·independent·set·of·vertices·is·eliminated,·and·the·choice·is·based\xd
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57 ···········The·tools·are·largely·written·so·any·of·these·three·algorithms·can·be·prototyped·in·a·small·amount\xd57 ···········The·tools·are·largely·written·so·any·of·these·three·algorithms·can·be·prototyped·in·a·small·amount\xd
58 ···········of·time·and·effort.\xd58 ···········of·time·and·effort.\xd
59 ···········1.1··Data·Structure\xd59 ···········1.1··Data·Structure\xd
60 ···········There·are·four·typed·objects.\xd60 ···········There·are·four·typed·objects.\xd
61 ··············MSMD·:·the·main·object.\xd61 ··············MSMD·:·the·main·object.\xd
62 ··············MSMDinfo·:·an·object·that·communicate·parameter·choices·from·the·caller·to·the·MSMD·object\xd62 ··············MSMDinfo·:·an·object·that·communicate·parameter·choices·from·the·caller·to·the·MSMD·object\xd
63 ···············and·information·and·statistics·from·the·MSMD·object·to·the·caller.\xd63 ···············and·information·and·statistics·from·the·MSMD·object·to·the·caller.\xd
64 ·······································MSMD·:·DRAFT···January·7,·2024····················3\xd64 ·······································MSMD·:·DRAFT··February·8,·2025····················3\xd
65 ················MSMDstageInfo·:·an·object·that·contains·statistics·for·a·stage·of·elimination,·e.g.,·number·of\xd65 ················MSMDstageInfo·:·an·object·that·contains·statistics·for·a·stage·of·elimination,·e.g.,·number·of\xd
66 ·················steps,·number·of·vertices·eliminated,·weight·of·vertices·eliminated,·etc.\xd66 ·················steps,·number·of·vertices·eliminated,·weight·of·vertices·eliminated,·etc.\xd
67 ················MSMDvtx·:·an·object·that·models·a·vertex.\xd67 ················MSMDvtx·:·an·object·that·models·a·vertex.\xd
68 ············Auser·needs·to·understand·the·MSMDinfo·object,·so·this·is·where·we·will·start·our·description.\xd68 ············Auser·needs·to·understand·the·MSMDinfo·object,·so·this·is·where·we·will·start·our·description.\xd
69 ············1.1.1··MSMDinfo·:·define·your·algorithm\xd69 ············1.1.1··MSMDinfo·:·define·your·algorithm\xd
70 ················int·compressFlag··define·initial·and·subsequent·compressions·of·the·graph.\xd70 ················int·compressFlag··define·initial·and·subsequent·compressions·of·the·graph.\xd
71 ·················Wecompress·a·graph·using·a·checksum·technique.·At·some·point·in·the·elimination,·vertices\xd71 ·················Wecompress·a·graph·using·a·checksum·technique.·At·some·point·in·the·elimination,·vertices\xd
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93 ················double·stepType··define·the·elimination·steps.\xd93 ················double·stepType··define·the·elimination·steps.\xd
94 ····················stepType·==·0··only·one·vertex·of·minimum·priority·is·eliminated·at·each·step,·e.g.,\xd94 ····················stepType·==·0··only·one·vertex·of·minimum·priority·is·eliminated·at·each·step,·e.g.,\xd
95 ·····················as·used·in·SPARSPAK’s·GENQMD,·YSMP’s·ordering,·and·AMD·[?].\xd95 ·····················as·used·in·SPARSPAK’s·GENQMD,·YSMP’s·ordering,·and·AMD·[?].\xd
96 ····················stepType·==·1··an·independent·set·of·vertices·of·minimum·priority·is·eliminated·at\xd96 ····················stepType·==·1··an·independent·set·of·vertices·of·minimum·priority·is·eliminated·at\xd
97 ·····················each·step,·e.g.,·as·used·in·GENMMD,·multiple·minimum·degree.\xd97 ·····················each·step,·e.g.,·as·used·in·GENMMD,·multiple·minimum·degree.\xd
98 ····················stepType·>·1—anindependentsetofvertices·iseliminated·whoseprioritieslie·between\xd98 ····················stepType·>·1—anindependentsetofvertices·iseliminated·whoseprioritieslie·between\xd
99 ·····················the·minimum·priority·and·the·minimum·priority·multiplied·by·stepType.\xd99 ·····················the·minimum·priority·and·the·minimum·priority·multiplied·by·stepType.\xd
100 ··············4·····························MSMD·:·DRAFT·January·7,·2024\xd100 ··············4····························MSMD·:·DRAFT·February·8,·2025\xd
101 ···················The·default·value·is·1,·multiple·elimination·of·vertices·with·minimum·priority.\xd101 ···················The·default·value·is·1,·multiple·elimination·of·vertices·with·minimum·priority.\xd
102 ··················int·seed··a·seed·used·for·a·random·number·generator,·this·introduces·a·necessary·random\xd102 ··················int·seed··a·seed·used·for·a·random·number·generator,·this·introduces·a·necessary·random\xd
103 ···················element·to·the·ordering.\xd103 ···················element·to·the·ordering.\xd
104 ··················int·msglvl··message·level·for·statistics,·diagnostics·and·monitoring.·The·default·value·is\xd104 ··················int·msglvl··message·level·for·statistics,·diagnostics·and·monitoring.·The·default·value·is\xd
105 ···················zero,·no·statistics.·Set·msglvl·to·one·and·get·elimination·monitoring.·Increase·msglvl·slowly\xd105 ···················zero,·no·statistics.·Set·msglvl·to·one·and·get·elimination·monitoring.·Increase·msglvl·slowly\xd
106 ···················to·get·more·mostly·debug·information.\xd106 ···················to·get·more·mostly·debug·information.\xd
107 ··················FILE·*msgFile··message·file,·default·is·stdout.\xd107 ··················FILE·*msgFile··message·file,·default·is·stdout.\xd
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119 ··················IIheap·*heap··pointer·to·a·IIheap·object·that·maintains·the·priority·queue.\xd119 ··················IIheap·*heap··pointer·to·a·IIheap·object·that·maintains·the·priority·queue.\xd
120 ··················IP·*baseIP··pointer·to·the·base·IP·objects,·used·to·hold·subtree·lists\xd120 ··················IP·*baseIP··pointer·to·the·base·IP·objects,·used·to·hold·subtree·lists\xd
121 ··················IP·*freeIP··pointer·to·the·list·of·free·IP·objects\xd121 ··················IP·*freeIP··pointer·to·the·list·of·free·IP·objects\xd
122 ··················int·incrIP··integer·that·holds·the·increment·factor·for·the·IP·objects.\xd122 ··················int·incrIP··integer·that·holds·the·increment·factor·for·the·IP·objects.\xd
123 ··················MSMDvtx·*vertices··pointer·to·vector·of·MSMDvtx·objects·that·represent·the·vertices.\xd123 ··················MSMDvtx·*vertices··pointer·to·vector·of·MSMDvtx·objects·that·represent·the·vertices.\xd
124 ··················IV·ivtmpIV··IV·object·that·holds·an·integer·temporary·vector.\xd124 ··················IV·ivtmpIV··IV·object·that·holds·an·integer·temporary·vector.\xd
125 ··················IV·reachIV··IV·object·that·holds·the·reach·vector.\xd125 ··················IV·reachIV··IV·object·that·holds·the·reach·vector.\xd
126 ·······································MSMD·:·DRAFT···January·7,·2024····················5\xd126 ·······································MSMD·:·DRAFT··February·8,·2025····················5\xd
127 ············1.1.3··MSMDstageInfo·:·statistics·object·for·a·stage·of·the·elimination\xd127 ············1.1.3··MSMDstageInfo·:·statistics·object·for·a·stage·of·the·elimination\xd
128 ············This·object·stores·information·about·the·elimination·process·at·a·stage·of·the·elimination.\xd128 ············This·object·stores·information·about·the·elimination·process·at·a·stage·of·the·elimination.\xd
129 ················int·nstep··number·of·elimination·steps·in·this·stage\xd129 ················int·nstep··number·of·elimination·steps·in·this·stage\xd
130 ················int·nfront··number·of·fronts·created·at·this·stage\xd130 ················int·nfront··number·of·fronts·created·at·this·stage\xd
131 ················int·welim··weight·of·the·vertices·eliminated·at·this·stage\xd131 ················int·welim··weight·of·the·vertices·eliminated·at·this·stage\xd
132 ················int·nfind··number·of·front·indices\xd132 ················int·nfind··number·of·front·indices\xd
133 ················int·nzf··number·of·factor·entries·(for·a·Cholesky·factorization)\xd133 ················int·nzf··number·of·factor·entries·(for·a·Cholesky·factorization)\xd
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148 ····················’L’··eliminated·leaf·vertex\xd148 ····················’L’··eliminated·leaf·vertex\xd
149 ····················’E’··eliminated·interior·vertex\xd149 ····················’E’··eliminated·interior·vertex\xd
150 ····················’O’··outmatched·vertex\xd150 ····················’O’··outmatched·vertex\xd
151 ····················’D’··vertex·on·degree·(priority)·heap\xd151 ····················’D’··vertex·on·degree·(priority)·heap\xd
152 ····················’R’··vertex·on·reach·set\xd152 ····················’R’··vertex·on·reach·set\xd
153 ····················’I’··vertex·found·to·be·indistinguishable·to·another\xd153 ····················’I’··vertex·found·to·be·indistinguishable·to·another\xd
154 ····················’B’··boundary·vertex,·to·be·eliminated·in·another·stage\xd154 ····················’B’··boundary·vertex,·to·be·eliminated·in·another·stage\xd
155 ··············6·····························MSMD·:·DRAFT·January·7,·2024\xd155 ··············6····························MSMD·:·DRAFT·February·8,·2025\xd
156 ··················int·stage··stage·of·the·vertex.·Stage·0·nodes·are·eliminated·before·stage·1·nodes,·etc.\xd156 ··················int·stage··stage·of·the·vertex.·Stage·0·nodes·are·eliminated·before·stage·1·nodes,·etc.\xd
157 ··················int·wght··weight·of·the·vertex\xd157 ··················int·wght··weight·of·the·vertex\xd
158 ··················int·nadj··size·of·the·adj·vector\xd158 ··················int·nadj··size·of·the·adj·vector\xd
159 ··················int·*adj··for·an·uneliminated·vertex,·adj·points·to·a·list·of·uncovered·adjacent·edges;·for\xd159 ··················int·*adj··for·an·uneliminated·vertex,·adj·points·to·a·list·of·uncovered·adjacent·edges;·for\xd
160 ···················an·eliminated·vertex,·adj·points·points·to·a·list·of·its·boundary·vertices·(only·valid·when·the\xd160 ···················an·eliminated·vertex,·adj·points·points·to·a·list·of·its·boundary·vertices·(only·valid·when·the\xd
161 ···················vertex·is·a·leaf·of·the·elimination·tree·or·a·root·of·a·subtree·of·uneliminated·vertices).\xd161 ···················vertex·is·a·leaf·of·the·elimination·tree·or·a·root·of·a·subtree·of·uneliminated·vertices).\xd
162 ··················int·bndwght··for·an·eliminated·vertex,·the·weight·of·the·vertices·on·its·boundary.\xd162 ··················int·bndwght··for·an·eliminated·vertex,·the·weight·of·the·vertices·on·its·boundary.\xd
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181 ···················This·method·clears·any·data·owned·by·the·object·and·then·sets·the·structure’s·default·fields\xd181 ···················This·method·clears·any·data·owned·by·the·object·and·then·sets·the·structure’s·default·fields\xd
182 ···················with·a·call·to·MSMDinfo·setDefaultFields().\xd182 ···················with·a·call·to·MSMDinfo·setDefaultFields().\xd
183 ···················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd183 ···················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
184 ················4.·void·MSMDinfo_free·(·MSMDinfo·*info·)·;\xd184 ················4.·void·MSMDinfo_free·(·MSMDinfo·*info·)·;\xd
185 ···················This·method·releases·any·storage·by·a·call·to·MSMDinfo·clearData()·then·free’s·the·storage\xd185 ···················This·method·releases·any·storage·by·a·call·to·MSMDinfo·clearData()·then·free’s·the·storage\xd
186 ···················for·the·structure·with·a·call·to·free().\xd186 ···················for·the·structure·with·a·call·to·free().\xd
187 ···················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd187 ···················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
188 ·······································MSMD·:·DRAFT···January·7,·2024····················7\xd188 ·······································MSMD·:·DRAFT··February·8,·2025····················7\xd
189 ············1.2.2··Utility·methods\xd189 ············1.2.2··Utility·methods\xd
190 ············There·are·two·utility·methods,·one·to·print·the·object,·one·to·check·to·see·if·it·is·valid.\xd190 ············There·are·two·utility·methods,·one·to·print·the·object,·one·to·check·to·see·if·it·is·valid.\xd
191 ···············1.·void·MSMDinfo_print·(·MSMDinfo·*info,·FILE·*fp·)·;\xd191 ···············1.·void·MSMDinfo_print·(·MSMDinfo·*info,·FILE·*fp·)·;\xd
192 ·················This·method·prints·out·the·information·to·a·file.\xd192 ·················This·method·prints·out·the·information·to·a·file.\xd
193 ·················Error·checking:·If·info·or·fp·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd193 ·················Error·checking:·If·info·or·fp·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
194 ···············2.·int·MSMDinfo_isValid·(·MSMDinfo·*info·)·;\xd194 ···············2.·int·MSMDinfo_isValid·(·MSMDinfo·*info·)·;\xd
195 ·················This·method·checks·that·the·object·is·valid.·The·return·value·is·1·for·a·valid·object,·0·for·an\xd195 ·················This·method·checks·that·the·object·is·valid.·The·return·value·is·1·for·a·valid·object,·0·for·an\xd
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213 ·················This·method·clears·any·data·owned·by·the·object,·then·sets·the·structure’s·default·fields·with\xd213 ·················This·method·clears·any·data·owned·by·the·object,·then·sets·the·structure’s·default·fields·with\xd
214 ·················a·call·to·MSMD·setDefaultFields().\xd214 ·················a·call·to·MSMD·setDefaultFields().\xd
215 ·················Error·checking:·If·msmd·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd215 ·················Error·checking:·If·msmd·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
216 ···············4.·void·MSMD_free·(·MSMD·*msmd·)·;\xd216 ···············4.·void·MSMD_free·(·MSMD·*msmd·)·;\xd
217 ·················This·method·releases·any·storage·by·a·call·to·MSMD·clearData()·then·free’s·the·storage·for\xd217 ·················This·method·releases·any·storage·by·a·call·to·MSMD·clearData()·then·free’s·the·storage·for\xd
218 ·················the·structure·with·a·call·to·free().\xd218 ·················the·structure·with·a·call·to·free().\xd
219 ·················Error·checking:·If·msmd·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd219 ·················Error·checking:·If·msmd·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
220 ···············8·································MSMD·:·DRAFT·January·7,·2024\xd220 ···············8································MSMD·:·DRAFT·February·8,·2025\xd
221 ···············1.3.2···Initialization·methods··public\xd221 ···············1.3.2···Initialization·methods··public\xd
222 ···············There·is·one·initialization·method.\xd222 ···············There·is·one·initialization·method.\xd
223 ··················1.·void·MSMD_init·(·MSMD·*msmd,·Graph·*graph,·int·stages[],·MSMD·*info·)·;\xd223 ··················1.·void·MSMD_init·(·MSMD·*msmd,·Graph·*graph,·int·stages[],·MSMD·*info·)·;\xd
224 ·····················This·method·initializes·the·MSMD·object·prior·to·an·ordering.·It·is·called·by·MSMD·order()\xd224 ·····················This·method·initializes·the·MSMD·object·prior·to·an·ordering.·It·is·called·by·MSMD·order()\xd
225 ·····················method,·and·so·it·is·currently·a·private·method·for·the·object.·However,·when·designing·more\xd225 ·····················method,·and·so·it·is·currently·a·private·method·for·the·object.·However,·when·designing·more\xd
226 ·····················complicated·ordering·methods,·this·object·is·necessary·to·set·up·the·data·structures.·There\xd226 ·····················complicated·ordering·methods,·this·object·is·necessary·to·set·up·the·data·structures.·There\xd
227 ·····················are·two·input·arguments:·graph·is·a·pointer·to·a·Graph·object·that·holds·the·adjacency·lists\xd227 ·····················are·two·input·arguments:·graph·is·a·pointer·to·a·Graph·object·that·holds·the·adjacency·lists\xd
Offset 249, 15 lines modifiedOffset 249, 15 lines modified
249 ···············1.3.4···Extraction·methods··public\xd249 ···············1.3.4···Extraction·methods··public\xd
250 ···············There·are·two·methods·to·extract·the·ordering.·The·first·fills·one·or·two·IV·objects·with·the\xd250 ···············There·are·two·methods·to·extract·the·ordering.·The·first·fills·one·or·two·IV·objects·with·the\xd
251 ···············permutation·vector(s).··The·second·returns·an·ETree·object·that·holds·the·front·tree·for·the\xd251 ···············permutation·vector(s).··The·second·returns·an·ETree·object·that·holds·the·front·tree·for·the\xd
252 ···············ordering.\xd252 ···············ordering.\xd
253 ··················1.·void·MSMD_fillPerms·(·MSMD·*msmd,·IV·*newToOldIV,·IV·*oldToNewIV·)·;\xd253 ··················1.·void·MSMD_fillPerms·(·MSMD·*msmd,·IV·*newToOldIV,·IV·*oldToNewIV·)·;\xd
254 ·····················If·newToOldIV·is·not·NULL,·this·method·fills·the·IV·object·with·the·new-to-old·permutation\xd254 ·····················If·newToOldIV·is·not·NULL,·this·method·fills·the·IV·object·with·the·new-to-old·permutation\xd
255 ·····················of·the·vertices,·resizing·the·IV·object·if·necessary.·If·oldToNewIV·is·not·NULL,·this·method\xd255 ·····················of·the·vertices,·resizing·the·IV·object·if·necessary.·If·oldToNewIV·is·not·NULL,·this·method\xd
256 ·······································MSMD·:·DRAFT···January·7,·2024····················9\xd256 ·······································MSMD·:·DRAFT··February·8,·2025····················9\xd
257 ·················fills·the·IV·object·with·the·old-to-new·permutation·of·the·vertices,·resizing·the·IV·object·if\xd257 ·················fills·the·IV·object·with·the·old-to-new·permutation·of·the·vertices,·resizing·the·IV·object·if\xd
258 ·················necessary.\xd258 ·················necessary.\xd
259 ·················Error·checking:·If·msmd·is·NULL,·or·if·newToOldIV·and·oldToNewIV·is·NULL,·an·error·message\xd259 ·················Error·checking:·If·msmd·is·NULL,·or·if·newToOldIV·and·oldToNewIV·is·NULL,·an·error·message\xd
260 ·················is·printed·and·the·program·exits.\xd260 ·················is·printed·and·the·program·exits.\xd
261 ···············2.·ETree·*·MSMD_frontETree·(·MSMD·*msmd·)·;\xd261 ···············2.·ETree·*·MSMD_frontETree·(·MSMD·*msmd·)·;\xd
262 ·················This·method·constructs·and·returns·a·ETree·object·that·contains·the·front·tree·for·the\xd262 ·················This·method·constructs·and·returns·a·ETree·object·that·contains·the·front·tree·for·the\xd
263 ·················ordering.\xd263 ·················ordering.\xd
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Offset 35, 15 lines modifiedOffset 35, 15 lines modified
35 ················by·independent·topological·traversals·of·the·front·tree.·It·is·the·list·and·working·storage·data·structures·(the\xd35 ················by·independent·topological·traversals·of·the·front·tree.·It·is·the·list·and·working·storage·data·structures·(the\xd
36 ················ChvList,·ChvManager·and·SubMtxManager·objects)·that·have·locks.·What·is·done·is·common·code·between\xd36 ················ChvList,·ChvManager·and·SubMtxManager·objects)·that·have·locks.·What·is·done·is·common·code·between\xd
37 ················the·serial·and·multithreaded·environments,·it·is·the·choreography,·i.e.,·who·does·what,·that·differs.\xd37 ················the·serial·and·multithreaded·environments,·it·is·the·choreography,·i.e.,·who·does·what,·that·differs.\xd
38 ···················Most·of·these·same·comments·apply·to·the·multithreaded·solve·methods.·The·calling·sequences·between\xd38 ···················Most·of·these·same·comments·apply·to·the·multithreaded·solve·methods.·The·calling·sequences·between\xd
39 ················the·serial·and·multithreaded·solves·differs·by·one·parameter,·a·SolveMap·object·that·maps·the·submatrices\xd39 ················the·serial·and·multithreaded·solves·differs·by·one·parameter,·a·SolveMap·object·that·maps·the·submatrices\xd
40 ················of·the·factor·matrix·to·the·threads·that·will·compute·with·them.\xd40 ················of·the·factor·matrix·to·the·threads·that·will·compute·with·them.\xd
41 ·································································1\xd41 ·································································1\xd
42 ··············2····························Multithreaded·:·DRAFT·January·7,·2024\xd42 ··············2···························Multithreaded·:·DRAFT·February·8,·2025\xd
43 ··············1.1····Data·Structure\xd43 ··············1.1····Data·Structure\xd
44 ··············There·are·no·multithreaded·specific·data·structures.·See·the·Lock·object·which·is·used·to·hide·the·particular\xd44 ··············There·are·no·multithreaded·specific·data·structures.·See·the·Lock·object·which·is·used·to·hide·the·particular\xd
45 ··············mutual·exclusion·device·used·by·a·thread·library.\xd45 ··············mutual·exclusion·device·used·by·a·thread·library.\xd
46 ··············1.2····Prototypes·and·descriptions·of·MT·methods\xd46 ··············1.2····Prototypes·and·descriptions·of·MT·methods\xd
47 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·found·in·the·MT·source·directory.\xd47 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·found·in·the·MT·source·directory.\xd
48 ··············1.2.1···Matrix-matrix·multiply·methods\xd48 ··············1.2.1···Matrix-matrix·multiply·methods\xd
49 ··············Therearefivemethodstomultiplyavectortimesadensematrix.·Thefirstthreemethods,calledInpMtx·MT·nonsym·mmm*(),\xd49 ··············Therearefivemethodstomultiplyavectortimesadensematrix.·Thefirstthreemethods,calledInpMtx·MT·nonsym·mmm*(),\xd
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79 ···················This·method·computes·the·matrix-vector·product·y·:=·y+αA·x,·where·y·is·found·in·the·Y·DenseMtx\xd79 ···················This·method·computes·the·matrix-vector·product·y·:=·y+αA·x,·where·y·is·found·in·the·Y·DenseMtx\xd
80 ···················object,·α·is·real·or·complex·in·alpha[],·A·is·found·in·the·A·Inpmtx·object,·and·x·is·found·in·the·X\xd80 ···················object,·α·is·real·or·complex·in·alpha[],·A·is·found·in·the·A·Inpmtx·object,·and·x·is·found·in·the·X\xd
81 ···················DenseMtx·object.·If·any·of·the·input·objects·are·NULL,·an·error·message·is·printed·and·the·program\xd81 ···················DenseMtx·object.·If·any·of·the·input·objects·are·NULL,·an·error·message·is·printed·and·the·program\xd
82 ···················exits.·A,·X·and·Y·must·all·be·real·or·all·be·complex.·When·A·is·real,·then·α·=·alpha[0].·When·A\xd82 ···················exits.·A,·X·and·Y·must·all·be·real·or·all·be·complex.·When·A·is·real,·then·α·=·alpha[0].·When·A\xd
83 ···················is·complex,·then·α·=·alpha[0]·+·i*·alpha[1].·This·means·that·one·cannot·call·the·methods·with\xd83 ···················is·complex,·then·α·=·alpha[0]·+·i*·alpha[1].·This·means·that·one·cannot·call·the·methods·with\xd
84 ···················a·constant·as·the·third·parameter,·e.g.,·InpMtx·MT·nonsym·mmm(A,·Y,·3.22,·X,·nthread,·msglvl,\xd84 ···················a·constant·as·the·third·parameter,·e.g.,·InpMtx·MT·nonsym·mmm(A,·Y,·3.22,·X,·nthread,·msglvl,\xd
85 ···················msgFile),·for·this·may·result·in·a·segmentation·violation.·The·values·of·α·must·be·loaded·into·an\xd85 ···················msgFile),·for·this·may·result·in·a·segmentation·violation.·The·values·of·α·must·be·loaded·into·an\xd
86 ········································Multithreaded·:·DRAFT···January·7,·2024····················3\xd86 ········································Multithreaded·:·DRAFT··February·8,·2025····················3\xd
87 ··················array·of·length·1·or·2.·The·number·of·threads·is·specified·by·the·nthread·parameter;·if,·nthread·is·1,\xd87 ··················array·of·length·1·or·2.·The·number·of·threads·is·specified·by·the·nthread·parameter;·if,·nthread·is·1,\xd
88 ··················the·serial·method·is·called.·The·msglvl·and·msgFile·parameters·are·used·for·diagnostics·during·the\xd88 ··················the·serial·method·is·called.·The·msglvl·and·msgFile·parameters·are·used·for·diagnostics·during·the\xd
89 ··················creation·of·the·threads’·individual·data·structures.\xd89 ··················creation·of·the·threads’·individual·data·structures.\xd
90 ··················Error·checking:·If·A,·Y·or·X·are·NULL,·or·if·coordType·is·not·INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or\xd90 ··················Error·checking:·If·A,·Y·or·X·are·NULL,·or·if·coordType·is·not·INPMTX·BY·ROWS,·INPMTX·BY·COLUMNS·or\xd
91 ··················INPMTX·BY·CHEVRONS,orifstorageModeisnotoneofINPMTX·RAW·DATA,INPMTX·SORTEDorINPMTX·BY·VECTORS,\xd91 ··················INPMTX·BY·CHEVRONS,orifstorageModeisnotoneofINPMTX·RAW·DATA,INPMTX·SORTEDorINPMTX·BY·VECTORS,\xd
92 ··················or·if·inputModeis·not·SPOOLES·REAL·or·SPOOLES·COMPLEX,an·error·message·is·printed·and·the·program\xd92 ··················or·if·inputModeis·not·SPOOLES·REAL·or·SPOOLES·COMPLEX,an·error·message·is·printed·and·the·program\xd
93 ··················exits.\xd93 ··················exits.\xd
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124 ······················cpus[1]··time·spent·initializing·the·fronts·and·loading·the·original·entries.\xd124 ······················cpus[1]··time·spent·initializing·the·fronts·and·loading·the·original·entries.\xd
125 ······················cpus[2]··time·spent·accumulating·updates·from·descendents.\xd125 ······················cpus[2]··time·spent·accumulating·updates·from·descendents.\xd
126 ······················cpus[3]··time·spent·inserting·aggregate·fronts.\xd126 ······················cpus[3]··time·spent·inserting·aggregate·fronts.\xd
127 ······················cpus[4]··time·spent·removing·and·assembling·aggregate·fronts.\xd127 ······················cpus[4]··time·spent·removing·and·assembling·aggregate·fronts.\xd
128 ······················cpus[5]··time·spent·assembling·postponed·data.\xd128 ······················cpus[5]··time·spent·assembling·postponed·data.\xd
129 ······················cpus[6]··time·spent·to·factor·the·fronts.\xd129 ······················cpus[6]··time·spent·to·factor·the·fronts.\xd
130 ······················cpus[7]··time·spent·to·extract·postponed·data.\xd130 ······················cpus[7]··time·spent·to·extract·postponed·data.\xd
131 ················4······························Multithreaded·:·DRAFT·January·7,·2024\xd131 ················4·····························Multithreaded·:·DRAFT·February·8,·2025\xd
132 ························cpus[8]··time·spent·to·store·the·factor·entries.\xd132 ························cpus[8]··time·spent·to·store·the·factor·entries.\xd
133 ························cpus[9]··miscellaneous·time.\xd133 ························cpus[9]··miscellaneous·time.\xd
134 ·····················Onreturn,·the·stats[]·vector·is·filled·with·the·following·information.\xd134 ·····················Onreturn,·the·stats[]·vector·is·filled·with·the·following·information.\xd
135 ························stats[0]··number·of·pivots.\xd135 ························stats[0]··number·of·pivots.\xd
136 ························stats[1]··number·of·pivot·tests.\xd136 ························stats[1]··number·of·pivot·tests.\xd
137 ························stats[2]··number·of·delayed·rows·and·columns.\xd137 ························stats[2]··number·of·delayed·rows·and·columns.\xd
138 ························stats[3]··number·of·entries·in·D.\xd138 ························stats[3]··number·of·entries·in·D.\xd
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164 ·····················an·error·message·is·printed·and·the·program·exits.\xd164 ·····················an·error·message·is·printed·and·the·program·exits.\xd
165 ················1.2.4···Multithreaded·Solve·method\xd165 ················1.2.4···Multithreaded·Solve·method\xd
166 ··················1.·void·FrontMtx_MT_solve·(·FrontMtx·*frontmtx,·DenseMtx·*mtxX,·DenseMtx·*mtxB,\xd166 ··················1.·void·FrontMtx_MT_solve·(·FrontMtx·*frontmtx,·DenseMtx·*mtxX,·DenseMtx·*mtxB,\xd
167 ················································SubMtxManager·*mtxmanager,·SolveMap·*solvemap,\xd167 ················································SubMtxManager·*mtxmanager,·SolveMap·*solvemap,\xd
168 ················································double·cpus[],·int·msglvl,·FILE·*msgFile·)·;\xd168 ················································double·cpus[],·int·msglvl,·FILE·*msgFile·)·;\xd
169 ·····················This·method·is·used·to·solve·one·of·three·linear·systems·of·equations·using·a·multithreaded·solve·\xd169 ·····················This·method·is·used·to·solve·one·of·three·linear·systems·of·equations·using·a·multithreaded·solve·\xd
170 ·····················(UT·+I)D(I·+U)X·=B,·(UH·+I)D(I·+U)X·=B·or·(L+I)D(I+U)X·=B.·Entries·of·B·are·read\xd170 ·····················(UT·+I)D(I·+U)X·=B,·(UH·+I)D(I·+U)X·=B·or·(L+I)D(I+U)X·=B.·Entries·of·B·are·read\xd
171 ··········································Multithreaded·:·DRAFT···January·7,·2024······················5\xd171 ·········································Multithreaded·:·DRAFT····February·8,·2025·····················5\xd
172 ···················from·mtxB·and·entries·of·X·are·written·to·mtxX.·Therefore,·mtxX·and·mtxB·can·be·the·same·object.\xd172 ···················from·mtxB·and·entries·of·X·are·written·to·mtxX.·Therefore,·mtxX·and·mtxB·can·be·the·same·object.\xd
173 ···················(Note,·this·does·not·hold·true·for·an·MPI·factorization·with·pivoting.)·The·submatrix·manager·object\xd173 ···················(Note,·this·does·not·hold·true·for·an·MPI·factorization·with·pivoting.)·The·submatrix·manager·object\xd
174 ···················manages·the·working·storage.·The·solvemap·object·contains·the·map·from·submatrices·to·threads.\xd174 ···················manages·the·working·storage.·The·solvemap·object·contains·the·map·from·submatrices·to·threads.\xd
175 ···················The·map·from·fronts·to·processes·that·own·them·is·given·in·the·ownersIV·object.·On·return·the\xd175 ···················The·map·from·fronts·to·processes·that·own·them·is·given·in·the·ownersIV·object.·On·return·the\xd
176 ···················cpus[]·vector·is·filled·with·the·following.·The·stats[]·vector·is·not·currently·used.\xd176 ···················cpus[]·vector·is·filled·with·the·following.·The·stats[]·vector·is·not·currently·used.\xd
177 ······················cpus[0]··set·up·the·solves\xd177 ······················cpus[0]··set·up·the·solves\xd
178 ······················cpus[1]··fetch·right·hand·side·and·store·solution\xd178 ······················cpus[1]··fetch·right·hand·side·and·store·solution\xd
Offset 206, 15 lines modifiedOffset 206, 15 lines modified
206 ···················¿·0·and·msgFile·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd206 ···················¿·0·and·msgFile·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
207 ··············1.3····Driver·programs·for·the·multithreaded·functions\xd207 ··············1.3····Driver·programs·for·the·multithreaded·functions\xd
208 ·················1.·allInOneMT·msglvl·msgFile·type·symmetryflag·pivotingflag\xd208 ·················1.·allInOneMT·msglvl·msgFile·type·symmetryflag·pivotingflag\xd
209 ······························matrixFileName·rhsFileName·seed·nthread\xd209 ······························matrixFileName·rhsFileName·seed·nthread\xd
210 ···················This·driver·program·reads·in·a·matrix·A·and·right·hand·side·B,·generates·the·graph·for·A·and·orders\xd210 ···················This·driver·program·reads·in·a·matrix·A·and·right·hand·side·B,·generates·the·graph·for·A·and·orders\xd
211 ···················the·matrix,·factors·A·and·solves·the·linear·system·AX·=·B·for·X·using·multithreaded·factors·and\xd211 ···················the·matrix,·factors·A·and·solves·the·linear·system·AX·=·B·for·X·using·multithreaded·factors·and\xd
212 ···················solves.·Use·the·script·file·do·gridMT·for·testing.\xd212 ···················solves.·Use·the·script·file·do·gridMT·for·testing.\xd
213 ·············6·······················Multithreaded·:·DRAFT·January·7,·2024\xd213 ·············6·······················Multithreaded·:·DRAFT·February·8,·2025\xd
214 ····················The·msglvlparameterdetermines·the·amount·of·output.·Use·msglvl·=·1·for·just·timing·output.\xd214 ····················The·msglvlparameterdetermines·the·amount·of·output.·Use·msglvl·=·1·for·just·timing·output.\xd
215 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd215 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd
216 ····················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd216 ····················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd
217 ····················The·type·parameter·specifies·a·real·or·complex·linear·system.\xd217 ····················The·type·parameter·specifies·a·real·or·complex·linear·system.\xd
218 ·······················type·=·1·(SPOOLES·REAL)·for·real,\xd218 ·······················type·=·1·(SPOOLES·REAL)·for·real,\xd
219 ·······················type·=·2·(SPOOLES·COMPLEX)·for·complex.\xd219 ·······················type·=·2·(SPOOLES·COMPLEX)·for·complex.\xd
220 ····················The·symmetryflag·parameter·specifies·the·symmetry·of·the·matrix.\xd220 ····················The·symmetryflag·parameter·specifies·the·symmetry·of·the·matrix.\xd
Offset 249, 15 lines modifiedOffset 249, 15 lines modified
249 ·················Thisdriverprogramisusedtotestthe“patch-and-go”functionalityforafactorizationwithoutpivoting.\xd249 ·················Thisdriverprogramisusedtotestthe“patch-and-go”functionalityforafactorizationwithoutpivoting.\xd
250 ·················Whensmalldiagonalpivotelements·are·found,·one·of·three·actions·are·taken.·See·the·PatchAndGoInfo\xd250 ·················Whensmalldiagonalpivotelements·are·found,·one·of·three·actions·are·taken.·See·the·PatchAndGoInfo\xd
251 ·················object·for·more·information.\xd251 ·················object·for·more·information.\xd
252 ·················The·program·reads·in·a·matrix·A·and·right·hand·side·B,·generates·the·graph·for·A·and·orders·the\xd252 ·················The·program·reads·in·a·matrix·A·and·right·hand·side·B,·generates·the·graph·for·A·and·orders·the\xd
253 ·················matrix,·factors·A·and·solves·the·linear·system·AX·=·B·for·X·using·multithreaded·factors·and·solves.\xd253 ·················matrix,·factors·A·and·solves·the·linear·system·AX·=·B·for·X·using·multithreaded·factors·and·solves.\xd
254 ·················Use·the·script·file·do·patchAndGo·for·testing.\xd254 ·················Use·the·script·file·do·patchAndGo·for·testing.\xd
255 ····················The·msglvlparameterdetermines·the·amount·of·output.·Use·msglvl·=·1·for·just·timing·output.\xd255 ····················The·msglvlparameterdetermines·the·amount·of·output.·Use·msglvl·=·1·for·just·timing·output.\xd
256 ··········································Multithreaded·:·DRAFT···January·7,·2024······················7\xd256 ·········································Multithreaded·:·DRAFT····February·8,·2025·····················7\xd
257 ······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd257 ······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd
258 ·······················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd258 ·······················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd
259 ······················The·type·parameter·specifies·a·real·or·complex·linear·system.\xd259 ······················The·type·parameter·specifies·a·real·or·complex·linear·system.\xd
260 ··························type·=·1·(SPOOLES·REAL)·for·real,\xd260 ··························type·=·1·(SPOOLES·REAL)·for·real,\xd
261 ··························type·=·2·(SPOOLES·COMPLEX)·for·complex.\xd261 ··························type·=·2·(SPOOLES·COMPLEX)·for·complex.\xd
262 ······················The·symmetryflag·parameter·specifies·the·symmetry·of·the·matrix.\xd262 ······················The·symmetryflag·parameter·specifies·the·symmetry·of·the·matrix.\xd
263 ··························type·=·0·(SPOOLES·SYMMETRIC)·for·A·real·or·complex·symmetric,\xd263 ··························type·=·0·(SPOOLES·SYMMETRIC)·for·A·real·or·complex·symmetric,\xd
Offset 294, 15 lines modifiedOffset 294, 15 lines modified
294 ······················The·nthread·parameter·is·the·number·of·threads.\xd294 ······················The·nthread·parameter·is·the·number·of·threads.\xd
295 ·················3.·testMMM·msglvl·msgFile·dataType·symflag·storageMode·transpose\xd295 ·················3.·testMMM·msglvl·msgFile·dataType·symflag·storageMode·transpose\xd
296 ···························nrow·ncol·nitem·nrhs·seed·alphaReal·alphaImag·nthread\xd296 ···························nrow·ncol·nitem·nrhs·seed·alphaReal·alphaImag·nthread\xd
297 ···················ThisdriverprogramgeneratesA,·anrow×ncolmatrixusingniteminputentries,X·andY,nrow×nrhs\xd297 ···················ThisdriverprogramgeneratesA,·anrow×ncolmatrixusingniteminputentries,X·andY,nrow×nrhs\xd
298 ·····················································································T·············H\xd298 ·····················································································T·············H\xd
299 ···················matrices,·is·filled·with·random·numbers.·It·then·computes·Y·+α∗A∗X,Y·+α∗A·∗X·orY·+α∗A·∗X.\xd299 ···················matrices,·is·filled·with·random·numbers.·It·then·computes·Y·+α∗A∗X,Y·+α∗A·∗X·orY·+α∗A·∗X.\xd
300 ···················The·program’s·output·is·a·file·which·when·sent·into·Matlab,·outputs·the·error·in·the·computation.\xd300 ···················The·program’s·output·is·a·file·which·when·sent·into·Matlab,·outputs·the·error·in·the·computation.\xd
301 ··············8····························Multithreaded·:·DRAFT·January·7,·2024\xd301 ··············8···························Multithreaded·:·DRAFT·February·8,·2025\xd
302 ······················Themsglvlparameterdeterminestheamountofoutput—takingmsglvl·>=·3meanstheInpMtx\xd302 ······················Themsglvlparameterdeterminestheamountofoutput—takingmsglvl·>=·3meanstheInpMtx\xd
303 ·······················object·is·written·to·the·message·file.\xd303 ·······················object·is·written·to·the·message·file.\xd
304 ······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd304 ······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd
305 ·······················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd305 ·······················file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output·data.\xd
306 ······················dataType·is·the·type·of·entries,·0·for·real,·1·for·complex.\xd306 ······················dataType·is·the·type·of·entries,·0·for·real,·1·for·complex.\xd
307 ······················symflag·is·the·symmetry·flag,·0·for·symmetric,·1·for·Hermitian,·2·for·nonsymmetric.\xd307 ······················symflag·is·the·symmetry·flag,·0·for·symmetric,·1·for·Hermitian,·2·for·nonsymmetric.\xd
308 ······················storageModeisthestoragemodefortheentries,1forbyrows,2forbycolumns,·3forbychevrons.\xd308 ······················storageModeisthestoragemodefortheentries,1forbyrows,2forbycolumns,·3forbychevrons.\xd
Offset 336, 15 lines modifiedOffset 336, 15 lines modified
336 ··························type·=·2·(SPOOLES·COMPLEX)·for·complex.\xd336 ··························type·=·2·(SPOOLES·COMPLEX)·for·complex.\xd
337 ······················The·symmetryflag·parameter·specifies·the·symmetry·of·the·matrix.\xd337 ······················The·symmetryflag·parameter·specifies·the·symmetry·of·the·matrix.\xd
338 ··························type·=·0·(SPOOLES·SYMMETRIC)·for·A·real·or·complex·symmetric,\xd338 ··························type·=·0·(SPOOLES·SYMMETRIC)·for·A·real·or·complex·symmetric,\xd
339 ··························type·=·1·(SPOOLES·HERMITIAN)·for·A·complex·Hermitian,\xd339 ··························type·=·1·(SPOOLES·HERMITIAN)·for·A·complex·Hermitian,\xd
340 ··························type·=·2·(SPOOLES·NONSYMMETRIC)\xd340 ··························type·=·2·(SPOOLES·NONSYMMETRIC)\xd
341 ·······················for·A·real·or·complex·nonsymmetric.\xd341 ·······················for·A·real·or·complex·nonsymmetric.\xd
342 ······················The·sparsityflag·parameter·signals·a·direct·or·approximate·factorization.\xd342 ······················The·sparsityflag·parameter·signals·a·direct·or·approximate·factorization.\xd
343 ················································Multithreaded·:·DRAFT········January·7,·2024···························9\xd343 ················································Multithreaded·:·DRAFT·······February·8,·2025···························9\xd
344 ······························sparsityflag·=·0·(FRONTMTX·DENSE·FRONTS)·implies·a·direct·factorization,·the·fronts·will\xd344 ······························sparsityflag·=·0·(FRONTMTX·DENSE·FRONTS)·implies·a·direct·factorization,·the·fronts·will\xd
345 ·······························be·stored·as·dense·submatrices.\xd345 ·······························be·stored·as·dense·submatrices.\xd
346 ······························sparsityflag·=·1·(FRONTMTX·SPARSE·FRONTS)·implies·an·approximate·factorization.·The\xd346 ······························sparsityflag·=·1·(FRONTMTX·SPARSE·FRONTS)·implies·an·approximate·factorization.·The\xd
347 ·······························fronts·will·be·stored·as·sparse·submatrices,·where·the·entries·in·the·triangular·factors·will·be\xd347 ·······························fronts·will·be·stored·as·sparse·submatrices,·where·the·entries·in·the·triangular·factors·will·be\xd
348 ·······························subjected·to·a·drop·tolerance·test··if·the·magnitude·of·an·entry·is·droptol·or·larger,·it·will\xd348 ·······························subjected·to·a·drop·tolerance·test··if·the·magnitude·of·an·entry·is·droptol·or·larger,·it·will\xd
349 ·······························be·stored,·otherwise·it·will·be·dropped.\xd349 ·······························be·stored,·otherwise·it·will·be·dropped.\xd
350 ··························The·pivotingflag·parameter·signals·whether·pivoting·for·stability·will·be·enabled·or·not.\xd350 ··························The·pivotingflag·parameter·signals·whether·pivoting·for·stability·will·be·enabled·or·not.\xd
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Network.ps
    
Offset 11, 15 lines modifiedOffset 11, 15 lines modified
11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
13 %%ViewingOrientation:·1·0·0·113 %%ViewingOrientation:·1·0·0·1
14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·Network.ps16 %DVIPSCommandLine:·dvips·main·-o·Network.ps
17 %DVIPSParameters:·dpi=60017 %DVIPSParameters:·dpi=600
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19 %%BeginProcSet:·tex.pro·0·019 %%BeginProcSet:·tex.pro·0·0
20 %!20 %!
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23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1542, 20 lines modifiedOffset 1542, 21 lines modified
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1555 dup·114·/r·put1556 dup·114·/r·put
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ps2ascii {}
    
Offset 31, 15 lines modifiedOffset 31, 15 lines modified
31 ················································B···········B\xd31 ················································B···········B\xd
32 ·····················Similarly,·an·edge·(x,y)·where·x··Y··and·y··Y····is·not·found·in·the·network.\xd32 ·····················Similarly,·an·edge·(x,y)·where·x··Y··and·y··Y····is·not·found·in·the·network.\xd
33 ·························································W···········W\xd33 ·························································W···········W\xd
34 ····················An·edge·(x,y)·where·x··Y····and·y··Y·becomes·two·edges,·(x,y−)·and·(y+,x),·both·with\xd34 ····················An·edge·(x,y)·where·x··Y····and·y··Y·becomes·two·edges,·(x,y−)·and·(y+,x),·both·with\xd
35 ················································B···········I\xd35 ················································B···········I\xd
36 ·····················infinite·capacity.\xd36 ·····················infinite·capacity.\xd
37 ·······························································1\xd37 ·······························································1\xd
38 ··············2·····························Network·:·DRAFT·January·7,·2024\xd38 ··············2····························Network·:·DRAFT·February·8,·2025\xd
39 ··················An·edge·(y,z)·where·y··Y·and·z··Y···becomes·two·edges,·(y+,z)·and·(z,y−),·both·with\xd39 ··················An·edge·(y,z)·where·y··Y·and·z··Y···becomes·two·edges,·(y+,z)·and·(z,y−),·both·with\xd
40 ············································I·········W\xd40 ············································I·········W\xd
41 ···················infinite·capacity.\xd41 ···················infinite·capacity.\xd
42 ···········································································+··········+·\xd42 ···········································································+··········+·\xd
43 ··················An·edge·(x,y)·where·x··Y·and·y··Y·becomes·two·edges,·(x·,y·)·and·(y·,x·),·both·with\xd43 ··················An·edge·(x,y)·where·x··Y·and·y··Y·becomes·two·edges,·(x·,y·)·and·(y·,x·),·both·with\xd
44 ···········································I·········I\xd44 ···········································I·········I\xd
45 ···················infinite·capacity.\xd45 ···················infinite·capacity.\xd
Offset 71, 15 lines modifiedOffset 71, 15 lines modified
71 ··················ArcChunk··a·structure·that·holds·the·storage·for·a·number·of·arcs.·Since·we·do·not·require\xd71 ··················ArcChunk··a·structure·that·holds·the·storage·for·a·number·of·arcs.·Since·we·do·not·require\xd
72 ···················the·number·of·arcs·to·be·known·in·advance·when·initializing·the·Network·object,·we·allo-\xd72 ···················the·number·of·arcs·to·be·known·in·advance·when·initializing·the·Network·object,·we·allo-\xd
73 ···················cate·chunks·of·space·to·hold·the·arcs·as·necessary.·Each·chunks·holds·space·for·nnode·arc\xd73 ···················cate·chunks·of·space·to·hold·the·arcs·as·necessary.·Each·chunks·holds·space·for·nnode·arc\xd
74 ···················structures.\xd74 ···················structures.\xd
75 ·················The·Network·object·has·six·fields.\xd75 ·················The·Network·object·has·six·fields.\xd
76 ··················int·nnode··the·number·of·nodes·in·the·network,·including·the·source·(node·0)·and·the·sink\xd76 ··················int·nnode··the·number·of·nodes·in·the·network,·including·the·source·(node·0)·and·the·sink\xd
77 ···················(node·nnode-1).\xd77 ···················(node·nnode-1).\xd
78 ······································Network·:·DRAFT··January·7,·2024···················3\xd78 ·····································Network·:·DRAFT···February·8,·2025··················3\xd
79 ················int·narc··the·number·of·arcs·in·the·network\xd79 ················int·narc··the·number·of·arcs·in·the·network\xd
80 ················int·ntrav··the·number·of·arc·traversals·that·we·made·to·find·a·max·flow.\xd80 ················int·ntrav··the·number·of·arc·traversals·that·we·made·to·find·a·max·flow.\xd
81 ················Arc·**inheads··pointer·to·a·vector·of·pointers·to·Arc,·inheads[v]·points·to·the·first·arc\xd81 ················Arc·**inheads··pointer·to·a·vector·of·pointers·to·Arc,·inheads[v]·points·to·the·first·arc\xd
82 ·················in·the·in-list·for·node·v.\xd82 ·················in·the·in-list·for·node·v.\xd
83 ················Arc·**outheads··pointer·to·a·vector·of·pointers·to·Arc,·outheads[v]·points·to·the·first\xd83 ················Arc·**outheads··pointer·to·a·vector·of·pointers·to·Arc,·outheads[v]·points·to·the·first\xd
84 ·················arc·in·the·out-list·for·node·v.\xd84 ·················arc·in·the·out-list·for·node·v.\xd
85 ················ArcChunk·*chunk··pointer·to·the·first·ArcChunk·structure.\xd85 ················ArcChunk·*chunk··pointer·to·the·first·ArcChunk·structure.\xd
Offset 99, 15 lines modifiedOffset 99, 15 lines modified
99 ················int·size··the·total·number·of·Arc·structures·in·this·chunk.\xd99 ················int·size··the·total·number·of·Arc·structures·in·this·chunk.\xd
100 ················int·inuse··the·number·of·active·Arc·structures·in·this·chunk.\xd100 ················int·inuse··the·number·of·active·Arc·structures·in·this·chunk.\xd
101 ················Arc·*base··pointer·to·the·first·Arc·structure·in·this·chunk.\xd101 ················Arc·*base··pointer·to·the·first·Arc·structure·in·this·chunk.\xd
102 ················ArcChunk·*next··pointer·to·the·next·ArcChunk·structure·in·the·list·of·chunks.\xd102 ················ArcChunk·*next··pointer·to·the·next·ArcChunk·structure·in·the·list·of·chunks.\xd
103 ············1.2····Prototypes·and·descriptions·of·Network·methods\xd103 ············1.2····Prototypes·and·descriptions·of·Network·methods\xd
104 ············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd104 ············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
105 ············Network·object.\xd105 ············Network·object.\xd
106 ··············4···························Network·:·DRAFT·January·7,·2024\xd106 ··············4···························Network·:·DRAFT·February·8,·2025\xd
107 ··············1.2.1··Basic·methods\xd107 ··············1.2.1··Basic·methods\xd
108 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd108 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
109 ··············any·allocated·data,·and·free’ing·the·object.\xd109 ··············any·allocated·data,·and·free’ing·the·object.\xd
110 ················1.·Network·*·Network_new·(·void·)·;\xd110 ················1.·Network·*·Network_new·(·void·)·;\xd
111 ···················This·method·simply·allocates·storage·for·the·Network·structure·and·then·sets·the·default\xd111 ···················This·method·simply·allocates·storage·for·the·Network·structure·and·then·sets·the·default\xd
112 ···················fields·by·a·call·to·Network·setDefaultFields().\xd112 ···················fields·by·a·call·to·Network·setDefaultFields().\xd
113 ················2.·void·Network_setDefaultFields·(·Network·*network·)·;\xd113 ················2.·void·Network_setDefaultFields·(·Network·*network·)·;\xd
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135 ················3.·void·Network_addArc·(·Network·*network,·int·firstNode,·secondNode,\xd135 ················3.·void·Network_addArc·(·Network·*network,·int·firstNode,·secondNode,\xd
136 ·········································int·capacity,·int·flow·)·;\xd136 ·········································int·capacity,·int·flow·)·;\xd
137 ···················This·method·adds·an·arc·from·firstNode·to·secondNode·with·flow·flow·and·capacity\xd137 ···················This·method·adds·an·arc·from·firstNode·to·secondNode·with·flow·flow·and·capacity\xd
138 ···················capacity.·The·arc·is·inserted·in·the·out-list·for·firstNode·and·the·in-list·for·secondNode.\xd138 ···················capacity.·The·arc·is·inserted·in·the·out-list·for·firstNode·and·the·in-list·for·secondNode.\xd
139 ···················Error·checking:·If·network·is·NULL,·or·if·nnode··0,·or·if·firstNode··0,·or·if·nnode·\xd139 ···················Error·checking:·If·network·is·NULL,·or·if·nnode··0,·or·if·firstNode··0,·or·if·nnode·\xd
140 ···················firstNode,·or·if·secondNode··0,·or·if·nnode··secondNode,·or·if·capacity··0,·an·error\xd140 ···················firstNode,·or·if·secondNode··0,·or·if·nnode··secondNode,·or·if·capacity··0,·an·error\xd
141 ···················message·is·printed·and·the·program·exits.\xd141 ···················message·is·printed·and·the·program·exits.\xd
142 ······································Network·:·DRAFT··January·7,·2024···················5\xd142 ·····································Network·:·DRAFT···February·8,·2025··················5\xd
143 ············1.2.3··Utility·methods\xd143 ············1.2.3··Utility·methods\xd
144 ···············1.·void·Network_findMaxFlow·(·Network·*network·)·;\xd144 ···············1.·void·Network_findMaxFlow·(·Network·*network·)·;\xd
145 ·················This·method·finds·a·maximum·flow·over·the·network·by·repeatedly·calling·the·method·to\xd145 ·················This·method·finds·a·maximum·flow·over·the·network·by·repeatedly·calling·the·method·to\xd
146 ·················find·an·augmenting·path·and·then·the·method·to·augment·the·path.·It·uses·an·Ideq·object\xd146 ·················find·an·augmenting·path·and·then·the·method·to·augment·the·path.·It·uses·an·Ideq·object\xd
147 ·················to·maintain·a·priority·dequeue.\xd147 ·················to·maintain·a·priority·dequeue.\xd
148 ·················Error·checking:·If·network·is·NULL,·or·if·nnode··0,·an·error·message·is·printed·and·the\xd148 ·················Error·checking:·If·network·is·NULL,·or·if·nnode··0,·an·error·message·is·printed·and·the\xd
149 ·················program·exits.\xd149 ·················program·exits.\xd
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172 ·················and·the·program·exits.\xd172 ·················and·the·program·exits.\xd
173 ···············5.·void·Network_findMincutFromSink·(·Network·*network,·Ideq·deq,·int·mark[])·;\xd173 ···············5.·void·Network_findMincutFromSink·(·Network·*network,·Ideq·deq,·int·mark[])·;\xd
174 ·················This·method·finds·the·min-cut·closest·to·the·sink·by·traversing·a·tree·of·flow-alternating\xd174 ·················This·method·finds·the·min-cut·closest·to·the·sink·by·traversing·a·tree·of·flow-alternating\xd
175 ·················paths·into·the·sink.·On·return,·mark[v]·=·1·if·the·node·v·is·in·the·component·that·contains\xd175 ·················paths·into·the·sink.·On·return,·mark[v]·=·1·if·the·node·v·is·in·the·component·that·contains\xd
176 ·················the·source.·If·the·node·v·is·in·the·component·that·contains·the·sink,·then·mark[v]·=·2.\xd176 ·················the·source.·If·the·node·v·is·in·the·component·that·contains·the·sink,·then·mark[v]·=·2.\xd
177 ·················Error·checking:·If·network,·deq·or·mark·is·NULL,·or·if·nnode··0,·an·error·message·is·printed\xd177 ·················Error·checking:·If·network,·deq·or·mark·is·NULL,·or·if·nnode··0,·an·error·message·is·printed\xd
178 ·················and·the·program·exits.\xd178 ·················and·the·program·exits.\xd
179 ··············6···························Network·:·DRAFT·January·7,·2024\xd179 ··············6···························Network·:·DRAFT·February·8,·2025\xd
180 ··············1.2.4··IO·methods\xd180 ··············1.2.4··IO·methods\xd
181 ··············There·are·two·IO·routines·for·debugging·purposes.\xd181 ··············There·are·two·IO·routines·for·debugging·purposes.\xd
182 ················1.·void·Network_writeForHumanEye·(·Network·*network,·FILE·*fp·)·;\xd182 ················1.·void·Network_writeForHumanEye·(·Network·*network,·FILE·*fp·)·;\xd
183 ···················Thismethodwritesthenetworktoafileinahumanreadableformat.·ThemethodNetwork·writeStats()\xd183 ···················Thismethodwritesthenetworktoafileinahumanreadableformat.·ThemethodNetwork·writeStats()\xd
184 ···················is·called·to·write·out·the·header·and·statistics.·Then·the·in-list·and·out-lists·for·the·nodes·in\xd184 ···················is·called·to·write·out·the·header·and·statistics.·Then·the·in-list·and·out-lists·for·the·nodes·in\xd
185 ···················the·network·are·printed.\xd185 ···················the·network·are·printed.\xd
186 ···················Error·checking:·If·network·or·fp·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd186 ···················Error·checking:·If·network·or·fp·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
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Offset 26, 15 lines modifiedOffset 26, 15 lines modified
26 ····························If·A······is·singular,·the·solution·X·=·0·and·X·=·A−1B·is·perfectly·acceptable.·In·other\xd26 ····························If·A······is·singular,·the·solution·X·=·0·and·X·=·A−1B·is·perfectly·acceptable.·In·other\xd
27 ··································1,1·····································1················2·······2,2···2\xd27 ··································1,1·····································1················2·······2,2···2\xd
28 ····························cases,·the·location·of·the·singularity·can·be·communicated·back·to·the·user·to·supply·useful\xd28 ····························cases,·the·location·of·the·singularity·can·be·communicated·back·to·the·user·to·supply·useful\xd
29 ····························information·about·the·finite·element·model.·One·common·practice·is·to·not·use·pivoting,·but\xd29 ····························information·about·the·finite·element·model.·One·common·practice·is·to·not·use·pivoting,·but\xd
30 ····························to·check·the·magnitude·of·the·diagonal·entry·as·a·row·and·column·is·to·be·eliminated.·If\xd30 ····························to·check·the·magnitude·of·the·diagonal·entry·as·a·row·and·column·is·to·be·eliminated.·If\xd
31 ····························the·magnitude·is·smaller·than·a·user-supplied·parameter,·the·diagonal·entry·is·set·to·some\xd31 ····························the·magnitude·is·smaller·than·a·user-supplied·parameter,·the·diagonal·entry·is·set·to·some\xd
32 ·····················································································1\xd32 ·····················································································1\xd
33 ···············2···························PatchAndGoInfo·:·DRAFT·January·7,·2024\xd33 ···············2··························PatchAndGoInfo·:·DRAFT·February·8,·2025\xd
34 ·····················multiple·of·the·largest·offdiagonal·entry·in·that·row·and·column·of·the·front,·the·location·and\xd34 ·····················multiple·of·the·largest·offdiagonal·entry·in·that·row·and·column·of·the·front,·the·location·and\xd
35 ·····················perturbation·is·noted,·and·the·factorization·proceeds.\xd35 ·····················perturbation·is·noted,·and·the·factorization·proceeds.\xd
36 ··················Other·strategies·can·be·added·to·the·PatchAndGoInfo·object.·For·example,·if·a·matrix·is·being\xd36 ··················Other·strategies·can·be·added·to·the·PatchAndGoInfo·object.·For·example,·if·a·matrix·is·being\xd
37 ···············factored·that·is·believed·to·be·positive·definite,·and·a·negative·value·is·found·in·a·pivot·element,\xd37 ···············factored·that·is·believed·to·be·positive·definite,·and·a·negative·value·is·found·in·a·pivot·element,\xd
38 ···············one·could·abort·the·factorization,·or·perturb·the·element·so·that·it·is·positive.\xd38 ···············one·could·abort·the·factorization,·or·perturb·the·element·so·that·it·is·positive.\xd
39 ···············1.1····Data·Structure\xd39 ···············1.1····Data·Structure\xd
40 ···············The·PatchAndGoInfo·structure·has·five·fields.\xd40 ···············The·PatchAndGoInfo·structure·has·five·fields.\xd
Offset 58, 15 lines modifiedOffset 58, 15 lines modified
58 ··················1.·PatchAndGoInfo·*·PatchAndGoInfo_new·(·void·)·;\xd58 ··················1.·PatchAndGoInfo·*·PatchAndGoInfo_new·(·void·)·;\xd
59 ·····················This·method·simply·allocates·storage·for·the·PatchAndGoInfo·structure·and·then·sets·the\xd59 ·····················This·method·simply·allocates·storage·for·the·PatchAndGoInfo·structure·and·then·sets·the\xd
60 ·····················default·fields·by·a·call·to·PatchAndGoInfo·setDefaultFields().\xd60 ·····················default·fields·by·a·call·to·PatchAndGoInfo·setDefaultFields().\xd
61 ··················2.·void·PatchAndGoInfo_setDefaultFields·(·PatchAndGoInfo·*info·)·;\xd61 ··················2.·void·PatchAndGoInfo_setDefaultFields·(·PatchAndGoInfo·*info·)·;\xd
62 ·····················This·method·sets·the·structure’s·fields·to·default·values:·strategy·=·-1,·toosmall·=·fudge\xd62 ·····················This·method·sets·the·structure’s·fields·to·default·values:·strategy·=·-1,·toosmall·=·fudge\xd
63 ·····················=0.0,·and·fudgeIV·=·fudgeDV·=·NULL·.\xd63 ·····················=0.0,·and·fudgeIV·=·fudgeDV·=·NULL·.\xd
64 ·····················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd64 ·····················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
65 ···································PatchAndGoInfo·:·DRAFT··January·7,·2024················3\xd65 ··································PatchAndGoInfo·:·DRAFT···February·8,·2025···············3\xd
66 ···············3.·void·PatchAndGoInfo_clearData·(·PatchAndGoInfo·*info·)·;\xd66 ···············3.·void·PatchAndGoInfo_clearData·(·PatchAndGoInfo·*info·)·;\xd
67 ·················This·method·clears·any·data·owned·by·the·object.·If·fudgeIV·is·not·NULL·it·is·free’d·by·a\xd67 ·················This·method·clears·any·data·owned·by·the·object.·If·fudgeIV·is·not·NULL·it·is·free’d·by·a\xd
68 ·················call·to·IV·free().·If·fudgeDV·is·not·NULL·it·is·free’d·by·a·call·to·DV·free().·The·structure’s\xd68 ·················call·to·IV·free().·If·fudgeDV·is·not·NULL·it·is·free’d·by·a·call·to·DV·free().·The·structure’s\xd
69 ·················default·fields·are·then·set·with·a·call·to·PatchAndGoInfo·setDefaultFields().\xd69 ·················default·fields·are·then·set·with·a·call·to·PatchAndGoInfo·setDefaultFields().\xd
70 ·················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd70 ·················Error·checking:·If·info·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
71 ···············4.·void·PatchAndGoInfo_free·(·PatchAndGoInfo·*info·)·;\xd71 ···············4.·void·PatchAndGoInfo_free·(·PatchAndGoInfo·*info·)·;\xd
72 ·················This·method·releases·any·storage·by·a·call·to·PatchAndGoInfo·clearData()·then·free’s·the\xd72 ·················This·method·releases·any·storage·by·a·call·to·PatchAndGoInfo·clearData()·then·free’s·the\xd
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./usr/share/doc/spooles-doc/Pencil.ps.gz
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Pencil.ps
    
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11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
13 %%ViewingOrientation:·1·0·0·113 %%ViewingOrientation:·1·0·0·1
14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·Pencil.ps16 %DVIPSCommandLine:·dvips·main·-o·Pencil.ps
17 %DVIPSParameters:·dpi=60017 %DVIPSParameters:·dpi=600
18 %DVIPSSource:··TeX·output·2024.01.07:164518 %DVIPSSource:··TeX·output·2025.02.08:2316
19 %%BeginProcSet:·tex.pro·0·019 %%BeginProcSet:·tex.pro·0·0
20 %!20 %!
21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1881, 20 lines modifiedOffset 1881, 21 lines modified
1881 /UnderlineThickness·50·def1881 /UnderlineThickness·50·def
1882 end·readonly·def1882 end·readonly·def
1883 /Encoding·256·array1883 /Encoding·256·array
1884 0·1·255·{1·index·exch·/.notdef·put}·for1884 0·1·255·{1·index·exch·/.notdef·put}·for
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1895 dup·117·/u·put1896 dup·117·/u·put
1896 dup·121·/y·put1897 dup·121·/y·put
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16 ···············InpMtx·*inpmtxB·:·pointer·to·the·matrix·object·for·B.·If·inpmtxB·is·NULL,·then·B·is·the\xd16 ···············InpMtx·*inpmtxB·:·pointer·to·the·matrix·object·for·B.·If·inpmtxB·is·NULL,·then·B·is·the\xd
17 ···············identity·matrix.\xd17 ···············identity·matrix.\xd
18 ···············double·sigma[2]·:·real·or·complex·scalar·shift·value.\xd18 ···············double·sigma[2]·:·real·or·complex·scalar·shift·value.\xd
19 ···········1.2··Prototypes·and·descriptions·of·Pencil·methods\xd19 ···········1.2··Prototypes·and·descriptions·of·Pencil·methods\xd
20 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd20 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
21 ···········Pencil·object.\xd21 ···········Pencil·object.\xd
22 ·············································1\xd22 ·············································1\xd
23 ··············2·····························Chv·:·DRAFT·January·7,·2024\xd23 ··············2·····························Chv·:·DRAFT·February·8,·2025\xd
24 ··············1.2.1··Basic·methods\xd24 ··············1.2.1··Basic·methods\xd
25 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd25 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
26 ··············any·allocated·data,·and·free’ing·the·object.\xd26 ··············any·allocated·data,·and·free’ing·the·object.\xd
27 ················1.·Pencil·*·Pencil_new·(·void·)·;\xd27 ················1.·Pencil·*·Pencil_new·(·void·)·;\xd
28 ··················This·method·simply·allocates·storage·for·the·Pencil·structure·and·then·sets·the·default·fields\xd28 ··················This·method·simply·allocates·storage·for·the·Pencil·structure·and·then·sets·the·default·fields\xd
29 ··················by·a·call·to·Pencil·setDefaultFields().\xd29 ··················by·a·call·to·Pencil·setDefaultFields().\xd
30 ················2.·void·Pencil_setDefaultFields·(·Pencil·*pencil·)·;\xd30 ················2.·void·Pencil_setDefaultFields·(·Pencil·*pencil·)·;\xd
Offset 48, 15 lines modifiedOffset 48, 15 lines modified
48 ················1.·void·Pencil_changeCoordType·(·Pencil·*pencil,·int·newType·)·;\xd48 ················1.·void·Pencil_changeCoordType·(·Pencil·*pencil,·int·newType·)·;\xd
49 ··················ThismethodsimplycallstheInpMtx·changeCoordType()methodforeachofitstwomatrices.\xd49 ··················ThismethodsimplycallstheInpMtx·changeCoordType()methodforeachofitstwomatrices.\xd
50 ··················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd50 ··················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
51 ················2.·void·Pencil_changeStorageMode·(·Pencil·*pencil,·int·newMode·)·;\xd51 ················2.·void·Pencil_changeStorageMode·(·Pencil·*pencil,·int·newMode·)·;\xd
52 ··················This·method·simply·calls·the·InpMtx·changeStorageMode()·method·for·each·of·its·two·ma-\xd52 ··················This·method·simply·calls·the·InpMtx·changeStorageMode()·method·for·each·of·its·two·ma-\xd
53 ··················trices.\xd53 ··················trices.\xd
54 ··················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd54 ··················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
55 ·············································Chv·:·DRAFT·····January·7,·2024···························3\xd55 ·············································Chv·:·DRAFT·····February·8,·2025··························3\xd
56 ·················3.·void·Pencil_sortAndCompress·(·Pencil·*pencil·)·;\xd56 ·················3.·void·Pencil_sortAndCompress·(·Pencil·*pencil·)·;\xd
57 ···················ThismethodsimplycallstheInpMtx·sortAndCompress()methodforeachofitstwomatrices.\xd57 ···················ThismethodsimplycallstheInpMtx·sortAndCompress()methodforeachofitstwomatrices.\xd
58 ···················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd58 ···················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
59 ·················4.·void·Pencil_convertToVectors·(·Pencil·*pencil·)·;\xd59 ·················4.·void·Pencil_convertToVectors·(·Pencil·*pencil·)·;\xd
60 ···················ThismethodsimplycallstheInpMtx·sortAndCompress()methodforeachofitstwomatrices.\xd60 ···················ThismethodsimplycallstheInpMtx·sortAndCompress()methodforeachofitstwomatrices.\xd
61 ···················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd61 ···················Error·checking:·If·pencil·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
62 ·················5.·void·Pencil_mapToLowerTriangle·(·Pencil·*pencil·)·;\xd62 ·················5.·void·Pencil_mapToLowerTriangle·(·Pencil·*pencil·)·;\xd
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83 ·················1.·Pencil·*·Pencil_setup·(·int·myid,·int·symflag,·char·*inpmtxAfile,\xd83 ·················1.·Pencil·*·Pencil_setup·(·int·myid,·int·symflag,·char·*inpmtxAfile,\xd
84 ·······················double·sigma[],·char·*inpmtxBfile,·int·randomflag,·Drand·*drand,\xd84 ·······················double·sigma[],·char·*inpmtxBfile,·int·randomflag,·Drand·*drand,\xd
85 ·······················int·msglvl,·FILE·*msgFile·)·;\xd85 ·······················int·msglvl,·FILE·*msgFile·)·;\xd
86 ···················This·method·is·used·to·read·in·the·matrices·from·two·files·and·initialize·the·objects.·If\xd86 ···················This·method·is·used·to·read·in·the·matrices·from·two·files·and·initialize·the·objects.·If\xd
87 ···················the·file·name·is·“none”,·then·no·matrix·is·read.···If·symflag·is·SPOOLES·SYMMETRIC·or\xd87 ···················the·file·name·is·“none”,·then·no·matrix·is·read.···If·symflag·is·SPOOLES·SYMMETRIC·or\xd
88 ···················SPOOLES·HERMITIAN,·entries·in·the·lower·triangle·are·dropped.·If·randomflag·is·one,·the\xd88 ···················SPOOLES·HERMITIAN,·entries·in·the·lower·triangle·are·dropped.·If·randomflag·is·one,·the\xd
89 ···················entries·are·filled·with·random·numbers·using·the·Drand·random·number·generator·drand.\xd89 ···················entries·are·filled·with·random·numbers·using·the·Drand·random·number·generator·drand.\xd
90 ·······4···············Chv·:·DRAFT·January·7,·2024\xd90 ·······4···············Chv·:·DRAFT·February·8,·2025\xd
91 ··········Note:·this·method·was·created·for·an·MPI·application.·If·myid·is·zero,·then·the·files·are\xd91 ··········Note:·this·method·was·created·for·an·MPI·application.·If·myid·is·zero,·then·the·files·are\xd
92 ··········read·in,·otherwise·just·stubs·are·created·for·the·internal·matrix·objects.·In·our·MPI·drivers,\xd92 ··········read·in,·otherwise·just·stubs·are·created·for·the·internal·matrix·objects.·In·our·MPI·drivers,\xd
93 ··········process·zero·reads·in·the·matrices·and·then·starts·the·process·to·distribute·them·to·the·other\xd93 ··········process·zero·reads·in·the·matrices·and·then·starts·the·process·to·distribute·them·to·the·other\xd
94 ··········processes.\xd94 ··········processes.\xd
95 ··········Error·checking:·If·pencil·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd95 ··········Error·checking:·If·pencil·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
96 ········2.·int·Pencil_readFromFiles·(·Pencil·*pencil,·char·*fnA,·char·*fnB·)·;\xd96 ········2.·int·Pencil_readFromFiles·(·Pencil·*pencil,·char·*fnA,·char·*fnB·)·;\xd
97 ··········This·method·reads·the·two·InpMtx·objects·from·two·files.·If·fnA·is·“none”,·then·A·is·not\xd97 ··········This·method·reads·the·two·InpMtx·objects·from·two·files.·If·fnA·is·“none”,·then·A·is·not\xd
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./usr/share/doc/spooles-doc/Perm.ps.gz
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Perm.ps
    
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22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
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14 ··············int·size·:·dimension·of·the·vectors\xd14 ··············int·size·:·dimension·of·the·vectors\xd
15 ··············int·*newToOld·:·pointer·to·the·new-to-old·vector\xd15 ··············int·*newToOld·:·pointer·to·the·new-to-old·vector\xd
16 ··············int·*oldToNew·:·pointer·to·the·old-to-new·vector\xd16 ··············int·*oldToNew·:·pointer·to·the·old-to-new·vector\xd
17 ···········1.2··Prototypes·and·descriptions·of·Perm·methods\xd17 ···········1.2··Prototypes·and·descriptions·of·Perm·methods\xd
18 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·Perm\xd18 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·Perm\xd
19 ···········object.\xd19 ···········object.\xd
20 ·············································1\xd20 ·············································1\xd
21 ··············2·····························PERM·:·DRAFT·January·7,·2024\xd21 ··············2····························PERM·:·DRAFT·February·8,·2025\xd
22 ··············1.2.1··Basic·methods\xd22 ··············1.2.1··Basic·methods\xd
23 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd23 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
24 ··············any·allocated·data,·and·free’ing·the·object.\xd24 ··············any·allocated·data,·and·free’ing·the·object.\xd
25 ················1.·Perm·*·Perm_new·(·void·)·;\xd25 ················1.·Perm·*·Perm_new·(·void·)·;\xd
26 ···················This·method·simply·allocates·storage·for·the·Perm·structure·and·then·sets·the·default·fields\xd26 ···················This·method·simply·allocates·storage·for·the·Perm·structure·and·then·sets·the·default·fields\xd
27 ···················by·a·call·to·Perm·setDefaultFields().\xd27 ···················by·a·call·to·Perm·setDefaultFields().\xd
28 ················2.·void·Perm_setDefaultFields·(·Perm·*perm·)·;\xd28 ················2.·void·Perm_setDefaultFields·(·Perm·*perm·)·;\xd
Offset 46, 15 lines modifiedOffset 46, 15 lines modified
46 ···················isPresent·==·3·then·newToOld·and·newToOld·are·set·with·calls·to·IVinit().\xd46 ···················isPresent·==·3·then·newToOld·and·newToOld·are·set·with·calls·to·IVinit().\xd
47 ···················Error·checking:·If·perm·is·NULL,·or·if·isPresent·is·invalid,·or·if·size·<=·0,·an·error·message\xd47 ···················Error·checking:·If·perm·is·NULL,·or·if·isPresent·is·invalid,·or·if·size·<=·0,·an·error·message\xd
48 ···················is·printed·and·the·program·exits.\xd48 ···················is·printed·and·the·program·exits.\xd
49 ··············1.2.3··Utility·methods\xd49 ··············1.2.3··Utility·methods\xd
50 ················1.·int·Perm_sizeOf·(·Perm·*perm·)·;\xd50 ················1.·int·Perm_sizeOf·(·Perm·*perm·)·;\xd
51 ···················This·method·returns·the·number·of·bytes·taken·by·this·object.\xd51 ···················This·method·returns·the·number·of·bytes·taken·by·this·object.\xd
52 ···················Error·checking:·If·perm·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd52 ···················Error·checking:·If·perm·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
53 ·······································PERM·:·DRAFT···January·7,·2024····················3\xd53 ·······································PERM·:·DRAFT··February·8,·2025····················3\xd
54 ···············2.·int·Perm_checkPerm·(·Perm·*perm·)·;\xd54 ···············2.·int·Perm_checkPerm·(·Perm·*perm·)·;\xd
55 ·················This·method·checks·the·validity·of·the·Perm·object.·If·oldToNew·is·present,·it·is·checked\xd55 ·················This·method·checks·the·validity·of·the·Perm·object.·If·oldToNew·is·present,·it·is·checked\xd
56 ·················to·see·that·it·is·a·true·permutation·vector,·i.e.,·a·one-one·and·onto·map·from·[0,size)·to\xd56 ·················to·see·that·it·is·a·true·permutation·vector,·i.e.,·a·one-one·and·onto·map·from·[0,size)·to\xd
57 ·················[0,size),·and·similarly·for·newToOld·if·it·is·present.·If·the·permutation·vector(s)·are·valid,\xd57 ·················[0,size),·and·similarly·for·newToOld·if·it·is·present.·If·the·permutation·vector(s)·are·valid,\xd
58 ·················1·is·returned,·otherwise·0·is·returned.\xd58 ·················1·is·returned,·otherwise·0·is·returned.\xd
59 ·················Error·checking:·If·perm·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd59 ·················Error·checking:·If·perm·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
60 ···············3.·void·Perm_fillOldToNew·(·Perm·*perm·)·;\xd60 ···············3.·void·Perm_fillOldToNew·(·Perm·*perm·)·;\xd
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80 ·················compressed·graph.\xd80 ·················compressed·graph.\xd
81 ·················Error·checking:·If·perm·or·eqmapIV·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd81 ·················Error·checking:·If·perm·or·eqmapIV·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
82 ············1.2.4··IO·methods\xd82 ············1.2.4··IO·methods\xd
83 ············There·are·the·usual·eight·IO·routines.·The·file·structure·of·a·Perm·object·is·simple:\xd83 ············There·are·the·usual·eight·IO·routines.·The·file·structure·of·a·Perm·object·is·simple:\xd
84 ············isPresent·size\xd84 ············isPresent·size\xd
85 ············oldToNew[size]·(if·present)\xd85 ············oldToNew[size]·(if·present)\xd
86 ············newToOld[size]·(if·present)\xd86 ············newToOld[size]·(if·present)\xd
87 ·······4···············PERM·:·DRAFT·January·7,·2024\xd87 ·······4··············PERM·:·DRAFT·February·8,·2025\xd
88 ········1.·int·Perm_readFromFile·(·Perm·*perm,·char·*fn·)·;\xd88 ········1.·int·Perm_readFromFile·(·Perm·*perm,·char·*fn·)·;\xd
89 ··········This·method·reads·a·Perm·object·from·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,·it\xd89 ··········This·method·reads·a·Perm·object·from·a·file.·It·tries·to·open·the·file·and·if·it·is·successful,·it\xd
90 ··········then·calls·Perm·readFromFormattedFile()·or·Perm·readFromBinaryFile(),·closes·the·file\xd90 ··········then·calls·Perm·readFromFormattedFile()·or·Perm·readFromBinaryFile(),·closes·the·file\xd
91 ··········and·returns·the·value·returned·from·the·called·routine.\xd91 ··········and·returns·the·value·returned·from·the·called·routine.\xd
92 ··········Error·checking:·If·perm·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.permf·(for·a·formatted\xd92 ··········Error·checking:·If·perm·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.permf·(for·a·formatted\xd
93 ··········file)·or·*.permb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd93 ··········file)·or·*.permb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd
94 ········2.·int·Perm_readFromFormattedFile·(·Perm·*perm,·FILE·*fp·)·;\xd94 ········2.·int·Perm_readFromFormattedFile·(·Perm·*perm,·FILE·*fp·)·;\xd
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117 ··········This·method·writes·out·a·Perm·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd117 ··········This·method·writes·out·a·Perm·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd
118 ··········data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd118 ··········data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd
119 ··········Error·checking:·If·perm·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd119 ··········Error·checking:·If·perm·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
120 ········7.·int·Perm_writeForHumanEye·(·Perm·*perm,·FILE·*fp·)·;\xd120 ········7.·int·Perm_writeForHumanEye·(·Perm·*perm,·FILE·*fp·)·;\xd
121 ··········This·method·writes·out·a·Perm·object·to·a·file·in·a·human·readable·format.·The·method\xd121 ··········This·method·writes·out·a·Perm·object·to·a·file·in·a·human·readable·format.·The·method\xd
122 ··········Perm·writeStats()·is·called·to·write·out·the·header·and·statistics.·The·value·1·is·returned.\xd122 ··········Perm·writeStats()·is·called·to·write·out·the·header·and·statistics.·The·value·1·is·returned.\xd
123 ··········Error·checking:·If·perm·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd123 ··········Error·checking:·If·perm·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
124 ·······································PERM·:·DRAFT···January·7,·2024····················5\xd124 ·······································PERM·:·DRAFT··February·8,·2025····················5\xd
125 ···············8.·int·Perm_writeStats·(·Perm·*perm,·FILE·*fp·)·;\xd125 ···············8.·int·Perm_writeStats·(·Perm·*perm,·FILE·*fp·)·;\xd
126 ·················This·method·writes·out·a·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd126 ·················This·method·writes·out·a·header·and·statistics·to·a·file.·The·value·1·is·returned.\xd
127 ·················Error·checking:·If·perm·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd127 ·················Error·checking:·If·perm·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
128 ·······Index\xd128 ·······Index\xd
129 ·······Perm·checkPerm(),·4\xd129 ·······Perm·checkPerm(),·4\xd
130 ·······Perm·clearData(),·3\xd130 ·······Perm·clearData(),·3\xd
131 ·······Perm·compress(),·4\xd131 ·······Perm·compress(),·4\xd
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3852 dup·44·/comma·put3852 dup·44·/comma·put
3853 dup·46·/period·put3853 dup·46·/period·put
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3857 dup·55·/seven·put3856 dup·53·/five·put
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3860 dup·68·/D·put3860 dup·68·/D·put
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3862 dup·75·/K·put3863 dup·75·/K·put
3863 dup·80·/P·put3864 dup·80·/P·put
3864 dup·87·/W·put3865 dup·87·/W·put
3865 dup·97·/a·put3866 dup·97·/a·put
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3866 dup·99·/c·put3868 dup·99·/c·put
3867 dup·100·/d·put3869 dup·100·/d·put
3868 dup·101·/e·put3870 dup·101·/e·put
3869 dup·102·/f·put3871 dup·102·/f·put
3870 dup·104·/h·put3872 dup·104·/h·put
3871 dup·105·/i·put3873 dup·105·/i·put
3872 dup·108·/l·put3874 dup·108·/l·put
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2 ·······························An·Object·Oriented·Software·Library·for·Solving\xd2 ·······························An·Object·Oriented·Software·Library·for·Solving\xd
3 ·········································Sparse·Linear·Systems·of·Equations\xd3 ·········································Sparse·Linear·Systems·of·Equations\xd
4 ············································1······················2·······················3··················4\xd4 ············································1······················2·······················3··················4\xd
5 ···························Cleve·Ashcraft··········Daniel·Pierce···········David·K.·Wah············Jason·Wu\xd5 ···························Cleve·Ashcraft··········Daniel·Pierce···········David·K.·Wah············Jason·Wu\xd
6 ····························································January·7,·2024\xd6 ···························································February·8,·2025\xd
7 ···················1Boeing·Shared·Services·Group,·P.·O.·Box·24346,·Mail·Stop·7L-22,·Seattle,·Washington·98124,\xd7 ···················1Boeing·Shared·Services·Group,·P.·O.·Box·24346,·Mail·Stop·7L-22,·Seattle,·Washington·98124,\xd
8 ·················cleve.ashcraft@boeing.com.·This·research·was·supported·in·part·by·the·DARPA·Contract·DABT63-95-C-0122\xd8 ·················cleve.ashcraft@boeing.com.·This·research·was·supported·in·part·by·the·DARPA·Contract·DABT63-95-C-0122\xd
9 ·················and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software·Support·Initiative.\xd9 ·················and·the·DoD·High·Performance·Computing·Modernization·Program·Common·HPC·Software·Support·Initiative.\xd
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11 ·················dpierce@redwood.rt.cs.boeing.com.···This·research·was·supported·in·part·by·the·DARPA·Contract·DABT63-\xd11 ·················dpierce@redwood.rt.cs.boeing.com.···This·research·was·supported·in·part·by·the·DARPA·Contract·DABT63-\xd
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13 ·················Initiative.\xd13 ·················Initiative.\xd
24.6 KB
./usr/share/doc/spooles-doc/SemiImplMtx.ps.gz
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SemiImplMtx.ps
    
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51 ·····················in·a·semi-implicit·form)·can·pay·off··storage·can·be·saved·when·the·number·of·entries·in·L····································and·U\xd51 ·····················in·a·semi-implicit·form)·can·pay·off··storage·can·be·saved·when·the·number·of·entries·in·L····································and·U\xd
52 ··············································································································································2,1·········1,2\xd52 ··············································································································································2,1·········1,2\xd
53 ·····················are·larger·than·the·number·of·entries·in·A····················and·A·.·The·number·of·solve·operations·is·reduced·by\xd53 ·····················are·larger·than·the·number·of·entries·in·A····················and·A·.·The·number·of·solve·operations·is·reduced·by\xd
54 ··············································································2,1··········1,2\xd54 ··············································································2,1··········1,2\xd
55 ·····················|L····|·+·|U·····|··2|D·····|··|A····|··|A·····|,·where·|···|·denotes·the·number·of·nonzeroes·in·a·matrix.\xd55 ·····················|L····|·+·|U·····|··2|D·····|··|A····|··|A·····|,·where·|···|·denotes·the·number·of·nonzeroes·in·a·matrix.\xd
56 ························2,1·······1,2··········1,1·······2,1········1,2\xd56 ························2,1·······1,2··········1,1·······2,1········1,2\xd
57 ·························································································1\xd57 ·························································································1\xd
58 ················2··································SemiImplMtx·:·DRAFT·January·7,·2024\xd58 ················2·································SemiImplMtx·:·DRAFT·February·8,·2025\xd
59 ················1.1······Data·Structure\xd59 ················1.1······Data·Structure\xd
60 ················The·SemiImplMtx·structure·has·the·following·fields.\xd60 ················The·SemiImplMtx·structure·has·the·following·fields.\xd
61 ·····················int·neqns·:·number·of·equations.\xd61 ·····················int·neqns·:·number·of·equations.\xd
62 ·····················int·type·:·type·of·entries,·SPOOLES·REAL·or·SPOOLES·COMPLEX.\xd62 ·····················int·type·:·type·of·entries,·SPOOLES·REAL·or·SPOOLES·COMPLEX.\xd
63 ·····················int·symmetryflag:·typeofmatrixsymmetry,SPOOLES·SYMMETRIC,SPOOLES·HERMITIANorSPOOLES·NONSYMMETRIC.\xd63 ·····················int·symmetryflag:·typeofmatrixsymmetry,SPOOLES·SYMMETRIC,SPOOLES·HERMITIANorSPOOLES·NONSYMMETRIC.\xd
64 ·····················int·ndomeqns·:·number·of·equations·in·the·domains,·or·(1,1)·block.\xd64 ·····················int·ndomeqns·:·number·of·equations·in·the·domains,·or·(1,1)·block.\xd
65 ·····················int·nschureqns·:·number·of·equations·in·the·Schur·complement,·or·(2,2)·block.\xd65 ·····················int·nschureqns·:·number·of·equations·in·the·Schur·complement,·or·(2,2)·block.\xd
Offset 95, 15 lines modifiedOffset 95, 15 lines modified
95 ······················Thismethodsetsthestructure’sfieldstodefaultvalues:·neqns=0,type=SPOOLES·REAL,symmetryflag\xd95 ······················Thismethodsetsthestructure’sfieldstodefaultvalues:·neqns=0,type=SPOOLES·REAL,symmetryflag\xd
96 ······················=SPOOLES·SYMMETRIC,ndomeqns=nschureqns=0,anddomainMtx,schurMtx,A21,A12,domRowsIV,\xd96 ······················=SPOOLES·SYMMETRIC,ndomeqns=nschureqns=0,anddomainMtx,schurMtx,A21,A12,domRowsIV,\xd
97 ······················schurRowsIV,·domColumnsIV·and·schurColumnsIV·are·all·set·to·NULL.\xd97 ······················schurRowsIV,·domColumnsIV·and·schurColumnsIV·are·all·set·to·NULL.\xd
98 ······················Return·codes:·1·means·a·normal·return,·-1·means·mtx·is·NULL.\xd98 ······················Return·codes:·1·means·a·normal·return,·-1·means·mtx·is·NULL.\xd
99 ···················3.·int·SemiImplMtx_clearData·(·SemiImplMtx·*mtx·)·;\xd99 ···················3.·int·SemiImplMtx_clearData·(·SemiImplMtx·*mtx·)·;\xd
100 ······················This·method·releases·all·storage·held·by·the·object.\xd100 ······················This·method·releases·all·storage·held·by·the·object.\xd
101 ······················Return·codes:·1·means·a·normal·return,·-1·means·mtx·is·NULL.\xd101 ······················Return·codes:·1·means·a·normal·return,·-1·means·mtx·is·NULL.\xd
102 ·················································SemiImplMtx·:·DRAFT······January·7,·2024·····························3\xd102 ················································SemiImplMtx·:·DRAFT·······February·8,·2025····························3\xd
103 ···················4.·int·SemiImplMtx_free·(·SemiImplMtx·*mtx·)·;\xd103 ···················4.·int·SemiImplMtx_free·(·SemiImplMtx·*mtx·)·;\xd
104 ······················This·method·releases·all·storage·held·by·the·object·via·a·call·to·SemiImplMtx·clearData(),·then·free’d\xd104 ······················This·method·releases·all·storage·held·by·the·object·via·a·call·to·SemiImplMtx·clearData(),·then·free’d\xd
105 ······················the·storage·for·the·object.\xd105 ······················the·storage·for·the·object.\xd
106 ······················Return·codes:·1·means·a·normal·return,·-1·means·mtx·is·NULL.\xd106 ······················Return·codes:·1·means·a·normal·return,·-1·means·mtx·is·NULL.\xd
107 ················1.2.2····Initialization·Methods\xd107 ················1.2.2····Initialization·Methods\xd
108 ···················1.·int·SemiImplMtx_initFromFrontMtx·(·SemiImplMtx·*semimtx,·FrontMtx·*frontmtx,\xd108 ···················1.·int·SemiImplMtx_initFromFrontMtx·(·SemiImplMtx·*semimtx,·FrontMtx·*frontmtx,\xd
109 ········································InpMtx·*inpmtx,·IV·*frontmapIV,·int·msglvl,·FILE·*msgFile)·;\xd109 ········································InpMtx·*inpmtx,·IV·*frontmapIV,·int·msglvl,·FILE·*msgFile)·;\xd
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140 ················1.2.3····Solve·Methods\xd140 ················1.2.3····Solve·Methods\xd
141 ···················1.·int·SemiImplMtx_solve·(·SemiImplMtx·*mtx,·DenseMtx·*X,·DenseMtx·*B,\xd141 ···················1.·int·SemiImplMtx_solve·(·SemiImplMtx·*mtx,·DenseMtx·*X,·DenseMtx·*B,\xd
142 ································SubMtxManager·*mtxmanager,·double·cpus[],·int·msglvl,·FILE·*msgFile·)·;\xd142 ································SubMtxManager·*mtxmanager,·double·cpus[],·int·msglvl,·FILE·*msgFile·)·;\xd
143 ······················This·methods·solves·a·linear·system·(L·+·I)D(I·+·U)X·=·B,·(UT·+·I)D(I·+·U)X·=·B·or·(UH·+\xd143 ······················This·methods·solves·a·linear·system·(L·+·I)D(I·+·U)X·=·B,·(UT·+·I)D(I·+·U)X·=·B·or·(UH·+\xd
144 ······················I)D(I·+·U)X·=·B,·where·X·and·B·are·DenseMtx·objects.·mtxmanager·is·an·object·to·handle·the\xd144 ······················I)D(I·+·U)X·=·B,·where·X·and·B·are·DenseMtx·objects.·mtxmanager·is·an·object·to·handle·the\xd
145 ······················working·SubMtx·objects·during·the·solve.·One·can·have·X·and·B·point·to·the·same·object,·for·entries\xd145 ······················working·SubMtx·objects·during·the·solve.·One·can·have·X·and·B·point·to·the·same·object,·for·entries\xd
146 ······················are·read·from·B·and·written·to·X.·On·return,·the·cpus[]·vector·contains·the·following·information.\xd146 ······················are·read·from·B·and·written·to·X.·On·return,·the·cpus[]·vector·contains·the·following·information.\xd
147 ··············4·····························SemiImplMtx·:·DRAFT·January·7,·2024\xd147 ··············4····························SemiImplMtx·:·DRAFT·February·8,·2025\xd
148 ·······················cpus[0]··initialize·working·matrices···cpus[5]···compute·domains’·right·hand·side\xd148 ·······················cpus[0]··initialize·working·matrices···cpus[5]···compute·domains’·right·hand·side\xd
149 ·······················cpus[1]··load·right·hand·side··········cpus[6]···second·solve·with·domains\xd149 ·······················cpus[1]··load·right·hand·side··········cpus[6]···second·solve·with·domains\xd
150 ·······················cpus[2]··first·solve·with·domains·······cpus[7]···store·solution\xd150 ·······················cpus[2]··first·solve·with·domains·······cpus[7]···store·solution\xd
151 ·······················cpus[3]··compute·Schur·right·hand·side·cpus[8]···miscellaneous·time\xd151 ·······················cpus[3]··compute·Schur·right·hand·side·cpus[8]···miscellaneous·time\xd
152 ·······················cpus[4]··Schur·solve···················cpus[9]···total·time\xd152 ·······················cpus[4]··Schur·solve···················cpus[9]···total·time\xd
153 ···················Return·codes:\xd153 ···················Return·codes:\xd
154 ··········································1··normal·return···-3··B·is·NULL\xd154 ··········································1··normal·return···-3··B·is·NULL\xd
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181 ··············This·section·contains·brief·descriptions·of·the·driver·programs.\xd181 ··············This·section·contains·brief·descriptions·of·the·driver·programs.\xd
182 ·················1.·testGrid·msglvl·msgFile·n1·n2·n3·maxzeros·maxsize·seed·type·symmetryflag\xd182 ·················1.·testGrid·msglvl·msgFile·n1·n2·n3·maxzeros·maxsize·seed·type·symmetryflag\xd
183 ····························sparsityflag·pivotingflag·tau·droptol·nrhs·depth\xd183 ····························sparsityflag·pivotingflag·tau·droptol·nrhs·depth\xd
184 ···················This·driver·program·tests·the·SemiImplMtx·creation·and·solve·methods·for·a·matrix·from·a·regular\xd184 ···················This·driver·program·tests·the·SemiImplMtx·creation·and·solve·methods·for·a·matrix·from·a·regular\xd
185 ···················2-D·or·3-D·grid.·The·matrix·can·be·real·or·complex·and·is·loaded·with·random·entries.·The·linear\xd185 ···················2-D·or·3-D·grid.·The·matrix·can·be·real·or·complex·and·is·loaded·with·random·entries.·The·linear\xd
186 ···················system·AX·=B·is·solved·as·follows.\xd186 ···················system·AX·=B·is·solved·as·follows.\xd
187 ······················First·A·is·factored,·and·a·FrontMtx·object·is·created·to·hold·the·factorization.\xd187 ······················First·A·is·factored,·and·a·FrontMtx·object·is·created·to·hold·the·factorization.\xd
188 ·········································SemiImplMtx·:·DRAFT··January·7,·2024·····················5\xd188 ········································SemiImplMtx·:·DRAFT···February·8,·2025····················5\xd
189 ·····················The·system·is·solved·using·the·FrontMtx·object.\xd189 ·····················The·system·is·solved·using·the·FrontMtx·object.\xd
190 ·····················A·SemiImplMtx·matrix·object·is·constructed·from·the·FrontMtx·object·and·A.\xd190 ·····················A·SemiImplMtx·matrix·object·is·constructed·from·the·FrontMtx·object·and·A.\xd
191 ·····················The·system·is·solved·using·the·SemiImplMtx·object.\xd191 ·····················The·system·is·solved·using·the·SemiImplMtx·object.\xd
192 ··················Various·statistics·and·CPU·timings·are·written·to·the·message·file·to·compare·the·two·solution·pro-\xd192 ··················Various·statistics·and·CPU·timings·are·written·to·the·message·file·to·compare·the·two·solution·pro-\xd
193 ··················cesses.·Use·the·do·grid·shell·script·for·testing.\xd193 ··················cesses.·Use·the·do·grid·shell·script·for·testing.\xd
194 ·····················The·msglvl·parameter·determines·the·amount·of·output.\xd194 ·····················The·msglvl·parameter·determines·the·amount·of·output.\xd
195 ·····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd195 ·····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the·message\xd
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11 %%EndComments11 %%EndComments
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22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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1445 dup·50·/two·put1445 dup·50·/two·put
1446 dup·52·/four·put 
1447 dup·55·/seven·put1446 dup·53·/five·put
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1452 dup·114·/r·put1453 dup·114·/r·put
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Offset 19, 15 lines modifiedOffset 19, 15 lines modified
19 ·················int·nproc··number·of·threads·or·processes\xd19 ·················int·nproc··number·of·threads·or·processes\xd
20 ·················int·*owners··vector·mapping·fronts·to·owning·threads·or·processes\xd20 ·················int·*owners··vector·mapping·fronts·to·owning·threads·or·processes\xd
21 ·················int·nblockUpper··number·of·submatrices·in·the·upper·triangle\xd21 ·················int·nblockUpper··number·of·submatrices·in·the·upper·triangle\xd
22 ·················int·*rowidsUpper··vector·of·row·ids·for·the·upper·triangle\xd22 ·················int·*rowidsUpper··vector·of·row·ids·for·the·upper·triangle\xd
23 ·················int·*colidsUpper··vector·of·column·ids·for·the·upper·triangle\xd23 ·················int·*colidsUpper··vector·of·column·ids·for·the·upper·triangle\xd
24 ·················int·*mapUpper··map·from·submatrices·to·threads·or·processes\xd24 ·················int·*mapUpper··map·from·submatrices·to·threads·or·processes\xd
25 ·······················································1\xd25 ·······················································1\xd
26 ··············2···························SolveMap·:·DRAFT·January·7,·2024\xd26 ··············2··························SolveMap·:·DRAFT·February·8,·2025\xd
27 ··················int·nblockLower··number·of·submatrices·in·the·lower·triangle\xd27 ··················int·nblockLower··number·of·submatrices·in·the·lower·triangle\xd
28 ··················int·*rowidsLower··vector·of·row·ids·for·the·lower·triangle\xd28 ··················int·*rowidsLower··vector·of·row·ids·for·the·lower·triangle\xd
29 ··················int·*colidsLower··vector·of·column·ids·for·the·lower·triangle\xd29 ··················int·*colidsLower··vector·of·column·ids·for·the·lower·triangle\xd
30 ··················int·*mapLower··map·from·submatrices·to·threads·or·processes·processes\xd30 ··················int·*mapLower··map·from·submatrices·to·threads·or·processes·processes\xd
31 ··············1.2···Prototypes·and·descriptions·of·SolveMap·methods\xd31 ··············1.2···Prototypes·and·descriptions·of·SolveMap·methods\xd
32 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd32 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
33 ··············SolveMap·object.\xd33 ··············SolveMap·object.\xd
Offset 50, 15 lines modifiedOffset 50, 15 lines modified
50 ···················This·method·releases·any·storage·by·a·call·to·SolveMap·clearData()·then·free’s·the·storage\xd50 ···················This·method·releases·any·storage·by·a·call·to·SolveMap·clearData()·then·free’s·the·storage\xd
51 ···················for·the·structure·with·a·call·to·free().\xd51 ···················for·the·structure·with·a·call·to·free().\xd
52 ···················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd52 ···················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
53 ··············1.2.2··Instance·methods\xd53 ··············1.2.2··Instance·methods\xd
54 ················1.·int·SolveMap_symmetryflag·(·SolveMap·*solvemap·)·;\xd54 ················1.·int·SolveMap_symmetryflag·(·SolveMap·*solvemap·)·;\xd
55 ···················This·method·returns·symmetryflag,·the·symmetry·flag.\xd55 ···················This·method·returns·symmetryflag,·the·symmetry·flag.\xd
56 ···················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd56 ···················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
57 ·····································SolveMap·:·DRAFT···January·7,·2024··················3\xd57 ·····································SolveMap·:·DRAFT··February·8,·2025··················3\xd
58 ···············2.·int·SolveMap_nfront·(·SolveMap·*solvemap·)·;\xd58 ···············2.·int·SolveMap_nfront·(·SolveMap·*solvemap·)·;\xd
59 ·················This·method·returns·nfront,·the·number·of·fronts.\xd59 ·················This·method·returns·nfront,·the·number·of·fronts.\xd
60 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd60 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
61 ···············3.·int·SolveMap_nproc·(·SolveMap·*solvemap·)·;\xd61 ···············3.·int·SolveMap_nproc·(·SolveMap·*solvemap·)·;\xd
62 ·················This·method·returns·nproc,·the·number·of·threads·or·processes.\xd62 ·················This·method·returns·nproc,·the·number·of·threads·or·processes.\xd
63 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd63 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
64 ···············4.·int·SolveMap_nblockUpper·(·SolveMap·*solvemap·)·;\xd64 ···············4.·int·SolveMap_nblockUpper·(·SolveMap·*solvemap·)·;\xd
Offset 84, 15 lines modifiedOffset 84, 15 lines modified
84 ·················This·method·returns·mapUpper,·a·pointer·to·the·vector·that·maps·the·submatrices·in·the\xd84 ·················This·method·returns·mapUpper,·a·pointer·to·the·vector·that·maps·the·submatrices·in·the\xd
85 ·················upper·triangle·to·threads·or·processes.\xd85 ·················upper·triangle·to·threads·or·processes.\xd
86 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd86 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
87 ··············10.·int·*·SolveMap_rowidsLower·(·SolveMap·*solvemap·)·;\xd87 ··············10.·int·*·SolveMap_rowidsLower·(·SolveMap·*solvemap·)·;\xd
88 ·················This·method·returns·rowidsLower,·a·pointer·to·the·vector·of·row·ids·of·the·submatrices·in\xd88 ·················This·method·returns·rowidsLower,·a·pointer·to·the·vector·of·row·ids·of·the·submatrices·in\xd
89 ·················the·lower·triangle.\xd89 ·················the·lower·triangle.\xd
90 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd90 ·················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
91 ··············4···························SolveMap·:·DRAFT·January·7,·2024\xd91 ··············4··························SolveMap·:·DRAFT·February·8,·2025\xd
92 ···············11.·int·*·SolveMap_colidsLower·(·SolveMap·*solvemap·)·;\xd92 ···············11.·int·*·SolveMap_colidsLower·(·SolveMap·*solvemap·)·;\xd
93 ···················This·method·returns·colidsLower,·a·pointer·to·the·vector·of·column·ids·of·the·submatrices\xd93 ···················This·method·returns·colidsLower,·a·pointer·to·the·vector·of·column·ids·of·the·submatrices\xd
94 ···················in·the·upper·triangle.\xd94 ···················in·the·upper·triangle.\xd
95 ···················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd95 ···················Error·checking:·If·solvemap·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
96 ···············12.·int·*·SolveMap_mapLower·(·SolveMap·*solvemap·)·;\xd96 ···············12.·int·*·SolveMap_mapLower·(·SolveMap·*solvemap·)·;\xd
97 ···················This·method·returns·mapLower,·a·pointer·to·the·vector·that·maps·the·submatrices·in·the\xd97 ···················This·method·returns·mapLower,·a·pointer·to·the·vector·that·maps·the·submatrices·in·the\xd
98 ···················upper·triangle·to·threads·or·processes.\xd98 ···················upper·triangle·to·threads·or·processes.\xd
Offset 118, 15 lines modifiedOffset 118, 15 lines modified
118 ···················fashion.·A·domain·is·a·subtree·of·fronts·that·are·owned·by·the·same·thread·or·process.\xd118 ···················fashion.·A·domain·is·a·subtree·of·fronts·that·are·owned·by·the·same·thread·or·process.\xd
119 ···················Furthermore,·a·domain·is·maximal,·i.e.,·the·parent·of·the·root·domain·(if·it·exists)·is·owned\xd119 ···················Furthermore,·a·domain·is·maximal,·i.e.,·the·parent·of·the·root·domain·(if·it·exists)·is·owned\xd
120 ···················by·a·different·process.·If·J·belongs·to·a·domain,·then·for·all·K,·LK,J·and·UJ,K·are·owned·by\xd120 ···················by·a·different·process.·If·J·belongs·to·a·domain,·then·for·all·K,·LK,J·and·UJ,K·are·owned·by\xd
121 ···················the·thread·or·process·that·owns·the·domain.·All·other·submatrices·are·mapped·to·threads·or\xd121 ···················the·thread·or·process·that·owns·the·domain.·All·other·submatrices·are·mapped·to·threads·or\xd
122 ···················processes·in·a·random·fashion.\xd122 ···················processes·in·a·random·fashion.\xd
123 ···················Error·checking:·If·solvemap,·upperBlockIVL·or·ownersIV·is·NULL,·or·if·symmetryflag·is\xd123 ···················Error·checking:·If·solvemap,·upperBlockIVL·or·ownersIV·is·NULL,·or·if·symmetryflag·is\xd
124 ···················invalid,·an·error·message·is·printed·and·the·program·exits.\xd124 ···················invalid,·an·error·message·is·printed·and·the·program·exits.\xd
125 ··············································SolveMap·:·DRAFT·······January·7,·2024···························5\xd125 ··············································SolveMap·:·DRAFT·······February·8,·2025··························5\xd
126 ···············1.2.5····Solve·setup·methods\xd126 ···············1.2.5····Solve·setup·methods\xd
127 ··················1.·IP·**·SolveMap_forwardSetup·(·SolveMap·*solvemap,·int·myid,\xd127 ··················1.·IP·**·SolveMap_forwardSetup·(·SolveMap·*solvemap,·int·myid,\xd
128 ·························································int·msglvl,·FILE·*msgFile·)·;\xd128 ·························································int·msglvl,·FILE·*msgFile·)·;\xd
129 ·····················IP·**·SolveMap_backwardSetup·(·SolveMap·*solvemap,·int·myid,\xd129 ·····················IP·**·SolveMap_backwardSetup·(·SolveMap·*solvemap,·int·myid,\xd
130 ·························································int·msglvl,·FILE·*msgFile·)·;\xd130 ·························································int·msglvl,·FILE·*msgFile·)·;\xd
131 ·····················ThesetwomethodsreturnavectorofpointerstoIPobjectsthatcontainthelistofsubmatrices\xd131 ·····················ThesetwomethodsreturnavectorofpointerstoIPobjectsthatcontainthelistofsubmatrices\xd
132 ·····················that·thread·or·process·myid·will·use·during·the·forward·or·backward·solves.\xd132 ·····················that·thread·or·process·myid·will·use·during·the·forward·or·backward·solves.\xd
Offset 157, 15 lines modifiedOffset 157, 15 lines modified
157 ·····················submatrices·process·myid·expects·for·front·J.\xd157 ·····················submatrices·process·myid·expects·for·front·J.\xd
158 ·····················Error·checking:·If·solvemap·is·NULL·or·nlist·<·0·then·an·error·message·is·printed·and·the\xd158 ·····················Error·checking:·If·solvemap·is·NULL·or·nlist·<·0·then·an·error·message·is·printed·and·the\xd
159 ·····················program·exits.\xd159 ·····················program·exits.\xd
160 ··················5.·IV·*·SolveMap_lowerAggregateIV·(·SolveMap·*solvemap,·int·myid\xd160 ··················5.·IV·*·SolveMap_lowerAggregateIV·(·SolveMap·*solvemap,·int·myid\xd
161 ··························································int·msglvl,·FILE·*msgFile·)·;\xd161 ··························································int·msglvl,·FILE·*msgFile·)·;\xd
162 ·····················This·method·returns·an·IV·object·that·contains·the·aggregate·count·for·a·forward·solve.·If\xd162 ·····················This·method·returns·an·IV·object·that·contains·the·aggregate·count·for·a·forward·solve.·If\xd
163 ·····················myid·owns·front·J,·then·entry·J·of·the·returned·IV·object·contains·the·number·of·processes\xd163 ·····················myid·owns·front·J,·then·entry·J·of·the·returned·IV·object·contains·the·number·of·processes\xd
164 ···············6······························SolveMap·:·DRAFT·January·7,·2024\xd164 ···············6·····························SolveMap·:·DRAFT·February·8,·2025\xd
165 ····················(other·than·myid)·that·own·an·L···submatrix,·(or·U···submatrix·if·symmetric·or·hermitian)\xd165 ····················(other·than·myid)·that·own·an·L···submatrix,·(or·U···submatrix·if·symmetric·or·hermitian)\xd
166 ···················································J,I················I,J\xd166 ···················································J,I················I,J\xd
167 ····················and·so·is·the·number·of·incoming·aggregate·submatrices·process·myid·expects·for·front·J.\xd167 ····················and·so·is·the·number·of·incoming·aggregate·submatrices·process·myid·expects·for·front·J.\xd
168 ····················Error·checking:·If·solvemap·is·NULL·or·nlist·<·0·then·an·error·message·is·printed·and·the\xd168 ····················Error·checking:·If·solvemap·is·NULL·or·nlist·<·0·then·an·error·message·is·printed·and·the\xd
169 ····················program·exits.\xd169 ····················program·exits.\xd
170 ···············1.2.7···IO·methods\xd170 ···············1.2.7···IO·methods\xd
171 ···············TherearetheusualeightIOroutines.·ThefilestructureofaSolveMapobjectissimple:·symmetryflag,\xd171 ···············TherearetheusualeightIOroutines.·ThefilestructureofaSolveMapobjectissimple:·symmetryflag,\xd
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194 ····················Error·checking:·If·solvemap·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.solvemapf·(for·a\xd194 ····················Error·checking:·If·solvemap·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.solvemapf·(for·a\xd
195 ····················formatted·file)·or·*.solvemapb·(for·a·binary·file),·an·error·message·is·printed·and·the·method\xd195 ····················formatted·file)·or·*.solvemapb·(for·a·binary·file),·an·error·message·is·printed·and·the·method\xd
196 ····················returns·zero.\xd196 ····················returns·zero.\xd
197 ··················5.·int·SolveMap_writeToFormattedFile·(·SolveMap·*solvemap,·FILE·*fp·)·;\xd197 ··················5.·int·SolveMap_writeToFormattedFile·(·SolveMap·*solvemap,·FILE·*fp·)·;\xd
198 ····················This·method·writes·an·SolveMap·object·to·a·formatted·file.·If·there·are·no·errors·in·writing\xd198 ····················This·method·writes·an·SolveMap·object·to·a·formatted·file.·If·there·are·no·errors·in·writing\xd
199 ····················the·data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd199 ····················the·data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd
200 ····················Error·checking:·If·solvemap·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd200 ····················Error·checking:·If·solvemap·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
201 ·····································SolveMap·:·DRAFT···January·7,·2024··················7\xd201 ·····································SolveMap·:·DRAFT··February·8,·2025··················7\xd
202 ···············6.·int·SolveMap_writeToBinaryFile·(·SolveMap·*solvemap,·FILE·*fp·)·;\xd202 ···············6.·int·SolveMap_writeToBinaryFile·(·SolveMap·*solvemap,·FILE·*fp·)·;\xd
203 ·················This·method·writes·an·SolveMap·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd203 ·················This·method·writes·an·SolveMap·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the\xd
204 ·················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd204 ·················data,·the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd
205 ·················Error·checking:·If·solvemap·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd205 ·················Error·checking:·If·solvemap·or·fp·are·NULL·an·error·message·is·printed·and·zero·is·returned.\xd
206 ···············7.·int·SolveMap_writeForHumanEye·(·SolveMap·*solvemap,·FILE·*fp·)·;\xd206 ···············7.·int·SolveMap_writeForHumanEye·(·SolveMap·*solvemap,·FILE·*fp·)·;\xd
207 ·················This·method·writes·an·SolveMap·object·to·a·file·in·an·easily·readable·format.·The·method\xd207 ·················This·method·writes·an·SolveMap·object·to·a·file·in·an·easily·readable·format.·The·method\xd
208 ·················SolveMap·writeStats()·is·called·to·write·out·the·header·and·statistics.·The·value·1·is\xd208 ·················SolveMap·writeStats()·is·called·to·write·out·the·header·and·statistics.·The·value·1·is\xd
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SubMtx.ps
    
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2132 dup·114·/r·put2133 dup·114·/r·put
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Offset 23, 15 lines modifiedOffset 23, 15 lines modified
23 ············dense·by·columns,·i.e.,·dense·and·column·major\xd23 ············dense·by·columns,·i.e.,·dense·and·column·major\xd
24 ············sparse·using·dense·subrows\xd24 ············sparse·using·dense·subrows\xd
25 ············sparse·using·dense·subcolumns\xd25 ············sparse·using·dense·subcolumns\xd
26 ············sparse·using·sparse·rows\xd26 ············sparse·using·sparse·rows\xd
27 ············sparse·using·sparse·columns\xd27 ············sparse·using·sparse·columns\xd
28 ············sparse·using·(i,j,ai,j)·triples\xd28 ············sparse·using·(i,j,ai,j)·triples\xd
29 ·····························1\xd29 ·····························1\xd
30 ···········2·······················SubMtx·:·DRAFT·January·7,·2024\xd30 ···········2······················SubMtx·:·DRAFT·February·8,·2025\xd
31 ··················a·diagonal·matrix\xd31 ··················a·diagonal·matrix\xd
32 ··················a·block·diagonal·symmetric·matrix·where·the·blocks·are·1·×·1·or·2·×·2,·used·in·the\xd32 ··················a·block·diagonal·symmetric·matrix·where·the·blocks·are·1·×·1·or·2·×·2,·used·in·the\xd
33 ···················symmetric·indefinite·factorization.\xd33 ···················symmetric·indefinite·factorization.\xd
34 ··················a·block·diagonal·Hermitian·matrix·where·the·blocks·are·1·×·1·or·2·×·2,·used·in·the\xd34 ··················a·block·diagonal·Hermitian·matrix·where·the·blocks·are·1·×·1·or·2·×·2,·used·in·the\xd
35 ···················hermitian·indefinite·factorization.\xd35 ···················hermitian·indefinite·factorization.\xd
36 ···············The·SubMtx·object·can·be·self-contained,·in·the·sense·that·its·structure·contains·a·DV·object\xd36 ···············The·SubMtx·object·can·be·self-contained,·in·the·sense·that·its·structure·contains·a·DV·object\xd
37 ···············that·manages·a·contiguous·vector·of·workspace·that·is·used·to·store·all·information·about·the\xd37 ···············that·manages·a·contiguous·vector·of·workspace·that·is·used·to·store·all·information·about·the\xd
Offset 60, 15 lines modifiedOffset 60, 15 lines modified
60 ···········information·is·better·than·using·explicit·structure·fields.·For·example,·if·we·want·to·extend·the\xd60 ···········information·is·better·than·using·explicit·structure·fields.·For·example,·if·we·want·to·extend·the\xd
61 ···········object·by·allowing·another·storage·format,·we·do·not·need·to·increase·the·size·of·the·structure·at\xd61 ···········object·by·allowing·another·storage·format,·we·do·not·need·to·increase·the·size·of·the·structure·at\xd
62 ···········all··it·is·only·necessary·to·provide·one·or·more·instance·methods·to·return·the·new·information.\xd62 ···········all··it·is·only·necessary·to·provide·one·or·more·instance·methods·to·return·the·new·information.\xd
63 ···········1.1··Data·Structure\xd63 ···········1.1··Data·Structure\xd
64 ···········The·SubMtx·structure·has·the·following·fields.\xd64 ···········The·SubMtx·structure·has·the·following·fields.\xd
65 ···············int·type·:·type·of·entries.\xd65 ···············int·type·:·type·of·entries.\xd
66 ··················SPOOLES·REAL·:·double·precision·real·entries.\xd66 ··················SPOOLES·REAL·:·double·precision·real·entries.\xd
67 ······································SubMtx·:·DRAFT··January·7,·2024····················3\xd67 ·····································SubMtx·:·DRAFT···February·8,·2025···················3\xd
68 ····················SPOOLES·COMPLEX·:·double·precision·complex·entries.\xd68 ····················SPOOLES·COMPLEX·:·double·precision·complex·entries.\xd
69 ················int·mode·:·storage·mode.\xd69 ················int·mode·:·storage·mode.\xd
70 ····················SUBMTX·DENSE·ROWS·:·dense,·storage·by·rows.\xd70 ····················SUBMTX·DENSE·ROWS·:·dense,·storage·by·rows.\xd
71 ····················SUBMTX·DENSE·COLUMNS·:·dense,·storage·by·columns.\xd71 ····················SUBMTX·DENSE·COLUMNS·:·dense,·storage·by·columns.\xd
72 ····················SUBMTX·SPARSE·ROWS·:·sparse,·storage·by·rows.\xd72 ····················SUBMTX·SPARSE·ROWS·:·sparse,·storage·by·rows.\xd
73 ····················SUBMTX·SPARSE·COLUMNS·:·sparse,·storage·by·columns.\xd73 ····················SUBMTX·SPARSE·COLUMNS·:·sparse,·storage·by·columns.\xd
74 ····················SUBMTX·SPARSE·TRIPLES·:·sparse,·storage·by·(i,j,ai,j)·triples.\xd74 ····················SUBMTX·SPARSE·TRIPLES·:·sparse,·storage·by·(i,j,ai,j)·triples.\xd
Offset 92, 15 lines modifiedOffset 92, 15 lines modified
92 ················SUBMTX·IS·DENSE·ROWS(mtx)is·1·if·mtx·has·dense·rows·as·its·storage·format,·and·0·otherwise.\xd92 ················SUBMTX·IS·DENSE·ROWS(mtx)is·1·if·mtx·has·dense·rows·as·its·storage·format,·and·0·otherwise.\xd
93 ················SUBMTX·IS·DENSE·COLUMNS(mtx)·is·1·if·mtx·has·dense·columns·as·its·storage·format,·and·0\xd93 ················SUBMTX·IS·DENSE·COLUMNS(mtx)·is·1·if·mtx·has·dense·columns·as·its·storage·format,·and·0\xd
94 ·················otherwise.\xd94 ·················otherwise.\xd
95 ················SUBMTX·IS·SPARSE·ROWS(mtx)·is·1·if·mtx·has·sparse·rows·as·its·storage·format,·and·0·other-\xd95 ················SUBMTX·IS·SPARSE·ROWS(mtx)·is·1·if·mtx·has·sparse·rows·as·its·storage·format,·and·0·other-\xd
96 ·················wise.\xd96 ·················wise.\xd
97 ················SUBMTX·IS·SPARSE·COLUMNS(mtx)·is·1·if·mtx·has·sparse·columns·as·its·storage·format,·and·0\xd97 ················SUBMTX·IS·SPARSE·COLUMNS(mtx)·is·1·if·mtx·has·sparse·columns·as·its·storage·format,·and·0\xd
98 ·················otherwise.\xd98 ·················otherwise.\xd
99 ··············4····························SubMtx·:·DRAFT·January·7,·2024\xd99 ··············4···························SubMtx·:·DRAFT·February·8,·2025\xd
100 ··················SUBMTX·IS·SPARSE·TRIPLES(mtx)·is·1·if·mtx·has·sparse·triples·as·its·storage·format,·0·other-\xd100 ··················SUBMTX·IS·SPARSE·TRIPLES(mtx)·is·1·if·mtx·has·sparse·triples·as·its·storage·format,·0·other-\xd
101 ··················wise.\xd101 ··················wise.\xd
102 ··················SUBMTX·IS·DENSE·SUBROWS(mtx)·is·1·if·mtx·has·dense·subrows·as·its·storage·format,·0·other-\xd102 ··················SUBMTX·IS·DENSE·SUBROWS(mtx)·is·1·if·mtx·has·dense·subrows·as·its·storage·format,·0·other-\xd
103 ··················wise.\xd103 ··················wise.\xd
104 ··················SUBMTX·IS·DENSE·SUBCOLUMNS(mtx)·is·1·if·mtx·has·dense·subcolumns·as·its·storage·format,\xd104 ··················SUBMTX·IS·DENSE·SUBCOLUMNS(mtx)·is·1·if·mtx·has·dense·subcolumns·as·its·storage·format,\xd
105 ··················0·otherwise.\xd105 ··················0·otherwise.\xd
106 ··················SUBMTX·IS·DIAGONAL(mtx)·is·1·if·mtx·is·diagonal,·0·otherwise.\xd106 ··················SUBMTX·IS·DIAGONAL(mtx)·is·1·if·mtx·is·diagonal,·0·otherwise.\xd
Offset 126, 15 lines modifiedOffset 126, 15 lines modified
126 ··················This·method·clears·the·object·and·free’s·any·owned·data·by·invoking·the·clearData()\xd126 ··················This·method·clears·the·object·and·free’s·any·owned·data·by·invoking·the·clearData()\xd
127 ··················methodsforitsinternal·DVobject.·Thereis·a·concluding·call·to·SubMtx·setDefaultFields().\xd127 ··················methodsforitsinternal·DVobject.·Thereis·a·concluding·call·to·SubMtx·setDefaultFields().\xd
128 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd128 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
129 ················4.·void·SubMtx_free·(·SubMtx·*mtx·)·;\xd129 ················4.·void·SubMtx_free·(·SubMtx·*mtx·)·;\xd
130 ··················This·method·releases·any·storage·by·a·call·to·SubMtx·clearData()·and·then·frees·the·space\xd130 ··················This·method·releases·any·storage·by·a·call·to·SubMtx·clearData()·and·then·frees·the·space\xd
131 ··················for·mtx.\xd131 ··················for·mtx.\xd
132 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd132 ··················Error·checking:·If·mtx·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
133 ······································SubMtx·:·DRAFT··January·7,·2024····················5\xd133 ·····································SubMtx·:·DRAFT···February·8,·2025···················5\xd
134 ············1.2.2··Instance·methods\xd134 ············1.2.2··Instance·methods\xd
135 ···············1.·void·SubMtx_ids·(·SubMtx·*mtx,·int·*prowid,·int·*pcolid·)·;\xd135 ···············1.·void·SubMtx_ids·(·SubMtx·*mtx,·int·*prowid,·int·*pcolid·)·;\xd
136 ·················This·method·fills·*prowid·with·the·row·id·and·*pcolid·with·the·column·id·of·the·object.\xd136 ·················This·method·fills·*prowid·with·the·row·id·and·*pcolid·with·the·column·id·of·the·object.\xd
137 ·················Error·checking:·If·mtx,·prowid·or·pcolid·is·NULL,·an·error·message·is·printed·and·the·program\xd137 ·················Error·checking:·If·mtx,·prowid·or·pcolid·is·NULL,·an·error·message·is·printed·and·the·program\xd
138 ·················exits.\xd138 ·················exits.\xd
139 ···············2.·void·SubMtx_setIds·(·SubMtx·*mtx,·int·rowid,·int·colid·)·;\xd139 ···············2.·void·SubMtx_setIds·(·SubMtx·*mtx,·int·rowid,·int·colid·)·;\xd
140 ·················This·method·sets·the·row·and·column·id’s·of·the·matrix.\xd140 ·················This·method·sets·the·row·and·column·id’s·of·the·matrix.\xd
Offset 163, 15 lines modifiedOffset 163, 15 lines modified
163 ·················the·program·exits.\xd163 ·················the·program·exits.\xd
164 ···············7.·void·SubMtx_sparseRowsInfo·(·SubMtx·*mtx,·int·*pnrow,·int·*pnent,\xd164 ···············7.·void·SubMtx_sparseRowsInfo·(·SubMtx·*mtx,·int·*pnrow,·int·*pnent,\xd
165 ··········································int·**psizes,·int·**pindices,·double·**pentries·)·;\xd165 ··········································int·**psizes,·int·**pindices,·double·**pentries·)·;\xd
166 ·················This·method·is·used·when·the·storage·mode·is·sparse·rows.·It·fills·*pnrow·with·the·number\xd166 ·················This·method·is·used·when·the·storage·mode·is·sparse·rows.·It·fills·*pnrow·with·the·number\xd
167 ·················of·rows,·*pnent·with·the·number·of·matrix·entries,·*psizes·with·the·base·address·of·the\xd167 ·················of·rows,·*pnent·with·the·number·of·matrix·entries,·*psizes·with·the·base·address·of·the\xd
168 ·················sizes[nrow]vector·that·contains·the·number·of·entries·in·each·row,·*indices·with·the·base\xd168 ·················sizes[nrow]vector·that·contains·the·number·of·entries·in·each·row,·*indices·with·the·base\xd
169 ·················address·of·the·indices[nent]·vector·that·contains·the·column·index·for·each·entry,·and\xd169 ·················address·of·the·indices[nent]·vector·that·contains·the·column·index·for·each·entry,·and\xd
170 ·······6··············SubMtx·:·DRAFT·January·7,·2024\xd170 ·······6··············SubMtx·:·DRAFT·February·8,·2025\xd
171 ··········*pentries·with·the·base·address·of·entries[nent]·vector.·The·indices·and·entries·for·the\xd171 ··········*pentries·with·the·base·address·of·entries[nent]·vector.·The·indices·and·entries·for·the\xd
172 ··········rows·are·stored·contiguously.\xd172 ··········rows·are·stored·contiguously.\xd
173 ··········Error·checking:·If·mtx,·pnrow,·pnent,·psizes,·pindices·or·pentries·is·NULL,·or·if·the·matrix\xd173 ··········Error·checking:·If·mtx,·pnrow,·pnent,·psizes,·pindices·or·pentries·is·NULL,·or·if·the·matrix\xd
174 ··········type·is·not·SUBMTX·SPARSE·ROWS,·an·error·message·is·printed·and·the·program·exits.\xd174 ··········type·is·not·SUBMTX·SPARSE·ROWS,·an·error·message·is·printed·and·the·program·exits.\xd
175 ········8.·void·SubMtx_sparseColumnsInfo·(·SubMtx·*mtx,·int·*pncol,·int·*pnent,\xd175 ········8.·void·SubMtx_sparseColumnsInfo·(·SubMtx·*mtx,·int·*pncol,·int·*pnent,\xd
176 ························int·**psizes,·int·**pindices,·double·**pentries·)·;\xd176 ························int·**psizes,·int·**pindices,·double·**pentries·)·;\xd
177 ··········Thismethodisusedwhenthestoragemodeissparsecolumns.·Itfills*pncolwiththenumber\xd177 ··········Thismethodisusedwhenthestoragemodeissparsecolumns.·Itfills*pncolwiththenumber\xd
Offset 204, 15 lines modifiedOffset 204, 15 lines modified
204 ··········exits.\xd204 ··········exits.\xd
205 ········11.·void·SubMtx_denseSubcolumnsInfo·(·SubMtx·*mtx,·int·*pncol,·int·*pnent,\xd205 ········11.·void·SubMtx_denseSubcolumnsInfo·(·SubMtx·*mtx,·int·*pncol,·int·*pnent,\xd
206 ··················int·**pfirstlocs,·int·**plastlocs,·double·**pentries·)·;\xd206 ··················int·**pfirstlocs,·int·**plastlocs,·double·**pentries·)·;\xd
207 ··········This·method·is·used·when·the·storage·mode·is·dense·subcolumns.·It·fills·*pncol·with\xd207 ··········This·method·is·used·when·the·storage·mode·is·dense·subcolumns.·It·fills·*pncol·with\xd
208 ··········the·number·of·columns,·*pnent·with·the·number·of·matrix·entries,·*pfirstlocs·with·the\xd208 ··········the·number·of·columns,·*pnent·with·the·number·of·matrix·entries,·*pfirstlocs·with·the\xd
209 ··········base·address·of·the·firstlocs[ncol]·vector,·*plastlocs·with·the·base·address·of·the\xd209 ··········base·address·of·the·firstlocs[ncol]·vector,·*plastlocs·with·the·base·address·of·the\xd
210 ··········lastlocs[ncol]vector,·and·*pentries·with·the·base·address·of·entries[nent]·vector.·For\xd210 ··········lastlocs[ncol]vector,·and·*pentries·with·the·base·address·of·entries[nent]·vector.·For\xd
211 ············································SubMtx·:·DRAFT·····January·7,·2024··························7\xd211 ············································SubMtx·:·DRAFT·····February·8,·2025·························7\xd
212 ····················column·jcol,·the·nonzero·entries·are·found·in·rows·[firstlocs[jcol],lastlocs[jcol]]\xd212 ····················column·jcol,·the·nonzero·entries·are·found·in·rows·[firstlocs[jcol],lastlocs[jcol]]\xd
213 ····················when·firstlocs[jcol]··0·and·firstlocs[jcol]··lastlocs[jcol].·The·entries·for·the\xd213 ····················when·firstlocs[jcol]··0·and·firstlocs[jcol]··lastlocs[jcol].·The·entries·for·the\xd
214 ····················columns·are·stored·contiguously.\xd214 ····················columns·are·stored·contiguously.\xd
215 ····················Error·checking:·If·mtx,·pnrow,·pnent,·pfirstlocs,·plastlocs·or·pentries·is·NULL,·or·if·the\xd215 ····················Error·checking:·If·mtx,·pnrow,·pnent,·pfirstlocs,·plastlocs·or·pentries·is·NULL,·or·if·the\xd
216 ····················matrix·type·is·not·SUBMTX·DENSE·SUBCOLUMNS,·an·error·message·is·printed·and·the·program\xd216 ····················matrix·type·is·not·SUBMTX·DENSE·SUBCOLUMNS,·an·error·message·is·printed·and·the·program\xd
217 ····················exits.\xd217 ····················exits.\xd
218 ················12.·void·SubMtx_diagonalInfo·(·SubMtx·*mtx,·int·*pncol,·double·**pentries·)·;\xd218 ················12.·void·SubMtx_diagonalInfo·(·SubMtx·*mtx,·int·*pncol,·double·**pentries·)·;\xd
Offset 242, 15 lines modifiedOffset 242, 15 lines modified
242 ····················and·0··jcol··ncol.·If·the·(irow,jcol)·entry·is·present,·the·return·value·is·the·offset\xd242 ····················and·0··jcol··ncol.·If·the·(irow,jcol)·entry·is·present,·the·return·value·is·the·offset\xd
243 ····················from·the·start·of·the·entries·vector.·(The·offset·is·in·terms·of·complex·entries,·not·double\xd243 ····················from·the·start·of·the·entries·vector.·(The·offset·is·in·terms·of·complex·entries,·not·double\xd
244 ····················entries.)·Otherwise,·-1·is·returned.\xd244 ····················entries.)·Otherwise,·-1·is·returned.\xd
245 ····················Error·checking:·If·mtx,·pReal·or·pImag·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error\xd245 ····················Error·checking:·If·mtx,·pReal·or·pImag·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error\xd
246 ····················message·is·printed·and·the·program·exits.\xd246 ····················message·is·printed·and·the·program·exits.\xd
247 ················16.·void··SubMtx_locationOfRealEntry·(·SubMtx·*mtx,·int·irow,·int·jcol,\xd247 ················16.·void··SubMtx_locationOfRealEntry·(·SubMtx·*mtx,·int·irow,·int·jcol,\xd
248 ··························································double·**ppValue·)·;\xd248 ··························································double·**ppValue·)·;\xd
249 ··············8·····························SubMtx·:·DRAFT·January·7,·2024\xd249 ··············8·····························SubMtx·:·DRAFT·February·8,·2025\xd
250 ···················If·the·(irow,jcol)·entry·is·present,·this·method·fills·*ppValue·with·a·pointer·to·the·entry\xd250 ···················If·the·(irow,jcol)·entry·is·present,·this·method·fills·*ppValue·with·a·pointer·to·the·entry\xd
251 ···················in·row·irow·and·columnjcol.·Otherwise,·*ppValue·is·set·to·NULL.·Note,·irow·and·jcol·are\xd251 ···················in·row·irow·and·columnjcol.·Otherwise,·*ppValue·is·set·to·NULL.·Note,·irow·and·jcol·are\xd
252 ···················local·indices,·i.e.,·0··irow··nrow·and·0··jcol··ncol.\xd252 ···················local·indices,·i.e.,·0··irow··nrow·and·0··jcol··ncol.\xd
253 ···················Error·checking:·If·mtx·or·ppValue·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error·message\xd253 ···················Error·checking:·If·mtx·or·ppValue·is·NULL,·or·if·irow·or·jcol·is·out·of·range,·an·error·message\xd
254 ···················is·printed·and·the·program·exits.\xd254 ···················is·printed·and·the·program·exits.\xd
255 ················17.·void··SubMtx_locationOfComplexEntry·(·SubMtx·*mtx,·int·irow,·int·jcol,\xd255 ················17.·void··SubMtx_locationOfComplexEntry·(·SubMtx·*mtx,·int·irow,·int·jcol,\xd
256 ·····························································double·**ppReal,·double·**ppImag·)·;\xd256 ·····························································double·**ppReal,·double·**ppImag·)·;\xd
Offset 278, 15 lines modifiedOffset 278, 15 lines modified
278 ·············································int·nrow,·int·ncol,·int·nent,·int·seed·)·;\xd278 ·············································int·nrow,·int·ncol,·int·nent,·int·seed·)·;\xd
279 ···················This·is·used·to·initialize·an·object·to·have·random·entries·and·(possibly)·random·structure.\xd279 ···················This·is·used·to·initialize·an·object·to·have·random·entries·and·(possibly)·random·structure.\xd
280 ···················The·object·is·first·initialized·via·a·call·to·SubMtx·init().·Its·matrix·entries·are·then·filled\xd280 ···················The·object·is·first·initialized·via·a·call·to·SubMtx·init().·Its·matrix·entries·are·then·filled\xd
281 ···················with·random·numbers.·If·the·matrix·is·sparse,·its·sparsity·pattern·is·sparse·and·random,\xd281 ···················with·random·numbers.·If·the·matrix·is·sparse,·its·sparsity·pattern·is·sparse·and·random,\xd
282 ···················using·nent·when·applicable.·The·row·and·column·indices·are·ascending·starting·from·zero.\xd282 ···················using·nent·when·applicable.·The·row·and·column·indices·are·ascending·starting·from·zero.\xd
283 ···················Error·checking:·If·mtx·is·NULL,·or·if·nrow,·ncol,·inc1·or·inc2·is·less·than·or·equal·to·zero,\xd283 ···················Error·checking:·If·mtx·is·NULL,·or·if·nrow,·ncol,·inc1·or·inc2·is·less·than·or·equal·to·zero,\xd
284 ···················or·if·neither·inc1·nor·inc2·are·1,·an·error·message·is·printed·and·the·program·exits.\xd284 ···················or·if·neither·inc1·nor·inc2·are·1,·an·error·message·is·printed·and·the·program·exits.\xd
285 ······································SubMtx·:·DRAFT··January·7,·2024····················9\xd285 ·····································SubMtx·:·DRAFT···February·8,·2025···················9\xd
286 ···············4.·void·SubMtx_initRandomLowerTriangle·(·SubMtx·*mtx,·int·type,·int·mode,\xd286 ···············4.·void·SubMtx_initRandomLowerTriangle·(·SubMtx·*mtx,·int·type,·int·mode,\xd
287 ····················int·rowid,·int·colid,·int·nrow,·int·ncol,·int·nent,·int·seed,·int·strict·)·;\xd287 ····················int·rowid,·int·colid,·int·nrow,·int·ncol,·int·nent,·int·seed,·int·strict·)·;\xd
288 ·················void·SubMtx_initRandomUpperTriangle·(·SubMtx·*mtx,·int·type,·int·mode,\xd288 ·················void·SubMtx_initRandomUpperTriangle·(·SubMtx·*mtx,·int·type,·int·mode,\xd
289 ····················int·rowid,·int·colid,·int·nrow,·int·ncol,·int·nent,·int·seed,·int·strict·)·;\xd289 ····················int·rowid,·int·colid,·int·nrow,·int·ncol,·int·nent,·int·seed,·int·strict·)·;\xd
290 ·················This·is·used·to·initialize·an·object·to·have·random·entries·and·(possibly)·random·struc-\xd290 ·················This·is·used·to·initialize·an·object·to·have·random·entries·and·(possibly)·random·struc-\xd
291 ·················ture.·The·matrix·type·may·not·be·diagonal,·block·diagonal,·or·triples.·If·strict·=·1,·the\xd291 ·················ture.·The·matrix·type·may·not·be·diagonal,·block·diagonal,·or·triples.·If·strict·=·1,·the\xd
292 ·················matrix·will·be·strict·lower·or·upper·triangular.·The·object·is·first·initialized·via·a·call·to\xd292 ·················matrix·will·be·strict·lower·or·upper·triangular.·The·object·is·first·initialized·via·a·call·to\xd
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SubMtxList.ps
    
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10 %%EndComments10 %%EndComments
11 %%BeginDefaults11 %%BeginDefaults
12 %%ViewingOrientation:·1·0·0·112 %%ViewingOrientation:·1·0·0·1
13 %%EndDefaults13 %%EndDefaults
14 %DVIPSWebPage:·(www.radicaleye.com)14 %DVIPSWebPage:·(www.radicaleye.com)
15 %DVIPSCommandLine:·dvips·main·-o·SubMtxList.ps15 %DVIPSCommandLine:·dvips·main·-o·SubMtxList.ps
16 %DVIPSParameters:·dpi=60016 %DVIPSParameters:·dpi=600
17 %DVIPSSource:··TeX·output·2024.01.07:164517 %DVIPSSource:··TeX·output·2025.02.08:2316
18 %%BeginProcSet:·tex.pro·0·018 %%BeginProcSet:·tex.pro·0·0
19 %!19 %!
20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S20 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
21 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7221 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
22 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·022 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{23 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize24 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 1777, 20 lines modifiedOffset 1777, 21 lines modified
1777 /UnderlineThickness·50·def1777 /UnderlineThickness·50·def
1778 end·readonly·def1778 end·readonly·def
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1780 0·1·255·{1·index·exch·/.notdef·put}·for1780 0·1·255·{1·index·exch·/.notdef·put}·for
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1782 dup·48·/zero·put1782 dup·48·/zero·put
1783 dup·50·/two·put1783 dup·50·/two·put
1784 dup·52·/four·put 
1785 dup·55·/seven·put1784 dup·53·/five·put
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1790 dup·114·/r·put1791 dup·114·/r·put
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1792 dup·121·/y·put1793 dup·121·/y·put
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Offset 22, 15 lines modifiedOffset 22, 15 lines modified
22 ·······The·first·two·operations·are·queries,·and·can·be·done·without·locking·the·list.·The·third·operation\xd22 ·······The·first·two·operations·are·queries,·and·can·be·done·without·locking·the·list.·The·third·operation\xd
23 ·······needs·a·lock·only·when·two·or·more·threads·will·be·inserting·objects·into·the·list.·The·fourth\xd23 ·······needs·a·lock·only·when·two·or·more·threads·will·be·inserting·objects·into·the·list.·The·fourth\xd
24 ·······operation·requires·a·lock·only·when·one·thread·will·add·an·object·while·another·thread·removes\xd24 ·······operation·requires·a·lock·only·when·one·thread·will·add·an·object·while·another·thread·removes\xd
25 ·······the·object·and·the·incoming·count·is·not·yet·zero.\xd25 ·······the·object·and·the·incoming·count·is·not·yet·zero.\xd
26 ·········Having·a·lock·associated·with·a·SubMtxList·object·is·optional,·for·example,·it·is·not·needed\xd26 ·········Having·a·lock·associated·with·a·SubMtxList·object·is·optional,·for·example,·it·is·not·needed\xd
27 ·······during·a·serial·factorization·nor·a·MPI·solve.·In·the·latter·case·there·is·one·SubMtxList·per·process.\xd27 ·······during·a·serial·factorization·nor·a·MPI·solve.·In·the·latter·case·there·is·one·SubMtxList·per·process.\xd
28 ·····························1\xd28 ·····························1\xd
29 ··············2·························SubMtxList·:·DRAFT·January·7,·2024\xd29 ··············2·························SubMtxList·:·DRAFT·February·8,·2025\xd
30 ··············For·a·multithreaded·solve·there·is·one·SubMtxList·object·that·is·shared·by·all·threads.·The·mutual\xd30 ··············For·a·multithreaded·solve·there·is·one·SubMtxList·object·that·is·shared·by·all·threads.·The·mutual\xd
31 ··············exclusion·lock·that·is·(optionally)·embedded·in·the·SubMtxList·object·is·a·Lock·object·from·this\xd31 ··············exclusion·lock·that·is·(optionally)·embedded·in·the·SubMtxList·object·is·a·Lock·object·from·this\xd
32 ··············library.·It·is·inside·the·Lock·object·that·we·have·a·mutual·exclusion·lock.·Presently·we·support·the\xd32 ··············library.·It·is·inside·the·Lock·object·that·we·have·a·mutual·exclusion·lock.·Presently·we·support·the\xd
33 ··············Solaris·and·POSIX·thread·packages.·Porting·the·multithreaded·codes·to·another·platform·should\xd33 ··············Solaris·and·POSIX·thread·packages.·Porting·the·multithreaded·codes·to·another·platform·should\xd
34 ··············be·simple·if·the·POSIX·thread·package·is·present.·Another·type·of·thread·package·will·require\xd34 ··············be·simple·if·the·POSIX·thread·package·is·present.·Another·type·of·thread·package·will·require\xd
35 ··············some·modifications·to·the·Lock·object,·but·none·to·the·SubMtxList·objects.\xd35 ··············some·modifications·to·the·Lock·object,·but·none·to·the·SubMtxList·objects.\xd
36 ··············1.1···Data·Structure\xd36 ··············1.1···Data·Structure\xd
Offset 52, 15 lines modifiedOffset 52, 15 lines modified
52 ················1.·SubMtxList·*·SubMtxList_new·(·void·)·;\xd52 ················1.·SubMtxList·*·SubMtxList_new·(·void·)·;\xd
53 ··················This·method·simply·allocates·storage·for·the·SubMtxList·structure·and·then·sets·the·default\xd53 ··················This·method·simply·allocates·storage·for·the·SubMtxList·structure·and·then·sets·the·default\xd
54 ··················fields·by·a·call·to·SubMtxList·setDefaultFields().\xd54 ··················fields·by·a·call·to·SubMtxList·setDefaultFields().\xd
55 ················2.·void·SubMtxList_setDefaultFields·(·SubMtxList·*list·)·;\xd55 ················2.·void·SubMtxList_setDefaultFields·(·SubMtxList·*list·)·;\xd
56 ··················The·structure’s·fields·are·set·to·default·values:·nlist·and·nlocks·set·to·zero,·and·heads,\xd56 ··················The·structure’s·fields·are·set·to·default·values:·nlist·and·nlocks·set·to·zero,·and·heads,\xd
57 ··················counts,·lock·and·flags·are·set·to·NULL·.\xd57 ··················counts,·lock·and·flags·are·set·to·NULL·.\xd
58 ··················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd58 ··················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
59 ····································SubMtxList·:·DRAFT···January·7,·2024··················3\xd59 ····································SubMtxList·:·DRAFT··February·8,·2025··················3\xd
60 ···············3.·void·SubMtxList_clearData·(·SubMtxList·*list·)·;\xd60 ···············3.·void·SubMtxList_clearData·(·SubMtxList·*list·)·;\xd
61 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·SubMtx·free()·for·each\xd61 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·SubMtx·free()·for·each\xd
62 ·················object·on·the·free·list.·If·heads·is·not·NULL,·it·is·free’d.·If·counts·is·not·NULL,·it·is·free’d·via\xd62 ·················object·on·the·free·list.·If·heads·is·not·NULL,·it·is·free’d.·If·counts·is·not·NULL,·it·is·free’d·via\xd
63 ·················a·call·to·IVfree().·If·flags·is·not·NULL,·it·is·free’d·via·a·call·to·CVfree().·If·the·lock·is·not\xd63 ·················a·call·to·IVfree().·If·flags·is·not·NULL,·it·is·free’d·via·a·call·to·CVfree().·If·the·lock·is·not\xd
64 ·················NULL,·it·is·destroyed·via·a·call·to·mutex·destroy()·and·then·free’d.·There·is·a·concluding\xd64 ·················NULL,·it·is·destroyed·via·a·call·to·mutex·destroy()·and·then·free’d.·There·is·a·concluding\xd
65 ·················call·to·SubMtxList·setDefaultFields().\xd65 ·················call·to·SubMtxList·setDefaultFields().\xd
66 ·················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd66 ·················Error·checking:·If·list·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
Offset 87, 15 lines modifiedOffset 87, 15 lines modified
87 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd87 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd
88 ·················is·printed·and·zero·is·returned.\xd88 ·················is·printed·and·zero·is·returned.\xd
89 ···············2.·int·SubMtxList_isCountZero·(·SubMtxList·*list,·int·ilist·)·;\xd89 ···············2.·int·SubMtxList_isCountZero·(·SubMtxList·*list,·int·ilist·)·;\xd
90 ·················If·counts·is·NULL,·or·if·counts[ilist]·equal·to·zero,·the·method·returns·1.·Otherwise,·the\xd90 ·················If·counts·is·NULL,·or·if·counts[ilist]·equal·to·zero,·the·method·returns·1.·Otherwise,·the\xd
91 ·················method·returns·0.\xd91 ·················method·returns·0.\xd
92 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd92 ·················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd
93 ·················is·printed·and·zero·is·returned.\xd93 ·················is·printed·and·zero·is·returned.\xd
94 ··············4·························SubMtxList·:·DRAFT·January·7,·2024\xd94 ··············4·························SubMtxList·:·DRAFT·February·8,·2025\xd
95 ················3.·SubMtx·*·SubMtxList_getList·(·SubMtxList·*list,·int·ilist·)·;\xd95 ················3.·SubMtx·*·SubMtxList_getList·(·SubMtxList·*list,·int·ilist·)·;\xd
96 ··················If·list·ilist·is·empty,·the·method·returns·NULL.·Otherwise,·if·the·list·needs·to·be·locked,·the\xd96 ··················If·list·ilist·is·empty,·the·method·returns·NULL.·Otherwise,·if·the·list·needs·to·be·locked,·the\xd
97 ··················lock·is·locked.·The·head·of·the·list·is·saved·to·a·pointer·and·then·the·head·is·set·to·NULL.\xd97 ··················lock·is·locked.·The·head·of·the·list·is·saved·to·a·pointer·and·then·the·head·is·set·to·NULL.\xd
98 ··················If·the·list·was·locked,·the·number·of·locks·is·incremented·and·the·lock·unlocked.·The·saved\xd98 ··················If·the·list·was·locked,·the·number·of·locks·is·incremented·and·the·lock·unlocked.·The·saved\xd
99 ··················pointer·is·returned.\xd99 ··················pointer·is·returned.\xd
100 ··················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd100 ··················Error·checking:·If·list·is·NULL,·or·if·ilist·is·not·in·the·range·[0,nlist),·an·error·message\xd
101 ··················is·printed·and·zero·is·returned.\xd101 ··················is·printed·and·zero·is·returned.\xd
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./usr/share/doc/spooles-doc/SubMtxManager.ps.gz
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SubMtxManager.ps
    
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Offset 27, 15 lines modifiedOffset 27, 15 lines modified
27 ···············with·sufficient·work·space,·and·returns·a·pointer·to·the·object.·When·a·SubMtx·object·is·no·longer\xd27 ···············with·sufficient·work·space,·and·returns·a·pointer·to·the·object.·When·a·SubMtx·object·is·no·longer\xd
28 ···············necessary,·it·is·released·to·the·manager·object,·which·then·inserts·it·into·the·free·list.·A·list·of\xd28 ···············necessary,·it·is·released·to·the·manager·object,·which·then·inserts·it·into·the·free·list.·A·list·of\xd
29 ···············SubMtx·objects·can·be·released·in·one·call.\xd29 ···············SubMtx·objects·can·be·released·in·one·call.\xd
30 ···················One·can·specify·whether·the·object·is·to·be·locked·via·a·mutual·exclusion·lock.·This·is·not\xd30 ···················One·can·specify·whether·the·object·is·to·be·locked·via·a·mutual·exclusion·lock.·This·is·not\xd
31 ···············necessary·for·a·serial·or·MPI·factorization·or·solve·(where·there·is·one·SubMtxManager·object·for\xd31 ···············necessary·for·a·serial·or·MPI·factorization·or·solve·(where·there·is·one·SubMtxManager·object·for\xd
32 ···············each·processor),·but·it·is·necessary·for·in·a·multithreaded·environment.\xd32 ···············each·processor),·but·it·is·necessary·for·in·a·multithreaded·environment.\xd
33 ·······························································1\xd33 ·······························································1\xd
34 ··············2························SubMtxManager·:·DRAFT·January·7,·2024\xd34 ··············2························SubMtxManager·:·DRAFT·February·8,·2025\xd
35 ·················Eachmanagerobjectkeepstrackofcertainstatistics,·bytesintheirworkspaces,·thetotal·number\xd35 ·················Eachmanagerobjectkeepstrackofcertainstatistics,·bytesintheirworkspaces,·thetotal·number\xd
36 ··············of·bytes·requested,·the·number·of·requests·for·a·SubMtx·objects,·the·number·of·releases,·and·the\xd36 ··············of·bytes·requested,·the·number·of·requests·for·a·SubMtx·objects,·the·number·of·releases,·and·the\xd
37 ··············number·of·locks·and·unlocks.\xd37 ··············number·of·locks·and·unlocks.\xd
38 ··············1.1···Data·Structure\xd38 ··············1.1···Data·Structure\xd
39 ··············The·SubMtxManager·structure·has·the·following·fields.\xd39 ··············The·SubMtxManager·structure·has·the·following·fields.\xd
40 ··················SubMtx·*head·:·head·of·the·free·list·of·SubMtx·objects.\xd40 ··················SubMtx·*head·:·head·of·the·free·list·of·SubMtx·objects.\xd
41 ··················Lock·*lock·:·mutual·exclusion·lock.\xd41 ··················Lock·*lock·:·mutual·exclusion·lock.\xd
Offset 55, 15 lines modifiedOffset 55, 15 lines modified
55 ··············SubMtxManager·object.\xd55 ··············SubMtxManager·object.\xd
56 ··············1.2.1··Basic·methods\xd56 ··············1.2.1··Basic·methods\xd
57 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd57 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
58 ··············any·allocated·data,·and·free’ing·the·object.\xd58 ··············any·allocated·data,·and·free’ing·the·object.\xd
59 ················1.·SubMtxManager·*·SubMtxManager_new·(·void·)·;\xd59 ················1.·SubMtxManager·*·SubMtxManager_new·(·void·)·;\xd
60 ··················This·method·simply·allocates·storage·for·the·SubMtxManager·structure·and·then·sets·the\xd60 ··················This·method·simply·allocates·storage·for·the·SubMtxManager·structure·and·then·sets·the\xd
61 ··················default·fields·by·a·call·to·SubMtxManager·setDefaultFields().\xd61 ··················default·fields·by·a·call·to·SubMtxManager·setDefaultFields().\xd
62 ···································SubMtxManager·:·DRAFT···January·7,·2024················3\xd62 ···································SubMtxManager·:·DRAFT··February·8,·2025················3\xd
63 ···············2.·void·SubMtxManager_setDefaultFields·(·SubMtxManager·*manager·)·;\xd63 ···············2.·void·SubMtxManager_setDefaultFields·(·SubMtxManager·*manager·)·;\xd
64 ·················Thestructure’sfieldsaresettodefaultvalues:·mode,nactive,nbytesactive,nbytesrequested,\xd64 ·················Thestructure’sfieldsaresettodefaultvalues:·mode,nactive,nbytesactive,nbytesrequested,\xd
65 ·················nbytesalloc,·nrequests,·nreleases,·nlocks·and·nunlocks·are·set·to·zero,·and·head·and\xd65 ·················nbytesalloc,·nrequests,·nreleases,·nlocks·and·nunlocks·are·set·to·zero,·and·head·and\xd
66 ·················lock·are·set·to·NULL·.\xd66 ·················lock·are·set·to·NULL·.\xd
67 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd67 ·················Error·checking:·If·manager·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
68 ···············3.·void·SubMtxManager_clearData·(·SubMtxManager·*manager·)·;\xd68 ···············3.·void·SubMtxManager_clearData·(·SubMtxManager·*manager·)·;\xd
69 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·SubMtx·free()·for·each\xd69 ·················This·method·clears·the·object·and·free’s·any·owned·data·by·calling·SubMtx·free()·for·each\xd
Offset 89, 15 lines modifiedOffset 89, 15 lines modified
89 ·················its·workspace.\xd89 ·················its·workspace.\xd
90 ·················Error·checking:·If·manager·is·NULL,·or·if·nbytesNeeded··0,·an·error·message·is·printed·and\xd90 ·················Error·checking:·If·manager·is·NULL,·or·if·nbytesNeeded··0,·an·error·message·is·printed·and\xd
91 ·················zero·is·returned.\xd91 ·················zero·is·returned.\xd
92 ···············2.·void·SubMtxManager_releaseObject·(·SubMtxManager·*manager,·SubMtx·*mtx·)·;\xd92 ···············2.·void·SubMtxManager_releaseObject·(·SubMtxManager·*manager,·SubMtx·*mtx·)·;\xd
93 ·················This·method·releases·the·mtx·instance,·either·free’ing·it·(if·mode·=·0),·or·returning·it·to·the\xd93 ·················This·method·releases·the·mtx·instance,·either·free’ing·it·(if·mode·=·0),·or·returning·it·to·the\xd
94 ·················free·list·(if·mode·=·1).\xd94 ·················free·list·(if·mode·=·1).\xd
95 ·················Error·checking:·If·manager·or·mtx·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd95 ·················Error·checking:·If·manager·or·mtx·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
96 ··············4························SubMtxManager·:·DRAFT·January·7,·2024\xd96 ··············4························SubMtxManager·:·DRAFT·February·8,·2025\xd
97 ················3.·void·SubMtxManager_releaseListOfObjects·(·SubMtxManager·*manager,·SubMtx·*first·)·;\xd97 ················3.·void·SubMtxManager_releaseListOfObjects·(·SubMtxManager·*manager,·SubMtx·*first·)·;\xd
98 ··················This·method·releases·a·list·of·SubMtx·objects·whose·head·is·first,·either·free’ing·them·(if\xd98 ··················This·method·releases·a·list·of·SubMtx·objects·whose·head·is·first,·either·free’ing·them·(if\xd
99 ··················mode·=·0),·or·returning·them·to·the·free·list·(if·mode·=·1).\xd99 ··················mode·=·0),·or·returning·them·to·the·free·list·(if·mode·=·1).\xd
100 ··················Error·checking:·If·manager·or·head·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd100 ··················Error·checking:·If·manager·or·head·is·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
101 ··············1.2.4··IO·methods\xd101 ··············1.2.4··IO·methods\xd
102 ················1.·void·SubMtxManager_writeForHumanEye·(·SubMtxManager·*manager,·FILE·*fp·)·;\xd102 ················1.·void·SubMtxManager_writeForHumanEye·(·SubMtxManager·*manager,·FILE·*fp·)·;\xd
103 ··················This·method·writes·a·SubMtxManager·object·to·a·file·in·an·easily·readable·format.\xd103 ··················This·method·writes·a·SubMtxManager·object·to·a·file·in·an·easily·readable·format.\xd
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22 ···········to·have·chevron·coordinate·type·and·storage·mode·must·be·by·vectors.\xd22 ···········to·have·chevron·coordinate·type·and·storage·mode·must·be·by·vectors.\xd
23 ···········1.1··Data·Structure\xd23 ···········1.1··Data·Structure\xd
24 ···········There·is·no·struct·or·data·associated·with·the·SymbFac·object.\xd24 ···········There·is·no·struct·or·data·associated·with·the·SymbFac·object.\xd
25 ···········1.2··Prototypes·and·descriptions·of·SymbFac·methods\xd25 ···········1.2··Prototypes·and·descriptions·of·SymbFac·methods\xd
26 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd26 ···········This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
27 ···········SymbFac·object.\xd27 ···········SymbFac·object.\xd
28 ·············································1\xd28 ·············································1\xd
29 ··············2···························SymbFac·:·DRAFT·January·7,·2024\xd29 ··············2···························SymbFac·:·DRAFT·February·8,·2025\xd
30 ··············1.2.1··Symbolic·factorization·methods\xd30 ··············1.2.1··Symbolic·factorization·methods\xd
31 ················1.·IVL·*·SymbFac_initFromGraph·(·ETree·*etree,·Graph·*graph·)·;\xd31 ················1.·IVL·*·SymbFac_initFromGraph·(·ETree·*etree,·Graph·*graph·)·;\xd
32 ···················This·symbolic·factorization·method·takes·a·Graph·object·as·input.·This·method·constructs\xd32 ···················This·symbolic·factorization·method·takes·a·Graph·object·as·input.·This·method·constructs\xd
33 ···················an·IVL·object·that·contains·one·list·per·front.·List·ilist·contains·the·internal·and·external\xd33 ···················an·IVL·object·that·contains·one·list·per·front.·List·ilist·contains·the·internal·and·external\xd
34 ···················vertices·for·front·ilist.·If·the·input·graph·is·a·compressed·graph,·then·the·lists·of·compressed\xd34 ···················vertices·for·front·ilist.·If·the·input·graph·is·a·compressed·graph,·then·the·lists·of·compressed\xd
35 ···················vertices·make·little·sense;·they·must·be·converted·to·original·vertices.·To·do·this,·see·the\xd35 ···················vertices·make·little·sense;·they·must·be·converted·to·original·vertices.·To·do·this,·see·the\xd
36 ···················IVL·expand()·method.·The·nodwghtsIV·and·bndwghtsIV·objects·for·the·ETree·object·are\xd36 ···················IVL·expand()·method.·The·nodwghtsIV·and·bndwghtsIV·objects·for·the·ETree·object·are\xd
Offset 61, 15 lines modifiedOffset 61, 15 lines modified
61 ················1.·testSymbFacInpMtx·msglvl·msgFile·inETreeFile·inDInpMtxFile\xd61 ················1.·testSymbFacInpMtx·msglvl·msgFile·inETreeFile·inDInpMtxFile\xd
62 ·····································outETreeFile·outIVfile·outIVLfile\xd62 ·····································outETreeFile·outIVfile·outIVLfile\xd
63 ···················This·driver·program·reads·in·an·ETree·object·and·a·InpMtx·object·and·computes·the·symbolic\xd63 ···················This·driver·program·reads·in·an·ETree·object·and·a·InpMtx·object·and·computes·the·symbolic\xd
64 ···················factorization.·The·ETree·object·is·updated·(the·front·sizes·and·boundary·sizes·may·change)\xd64 ···················factorization.·The·ETree·object·is·updated·(the·front·sizes·and·boundary·sizes·may·change)\xd
65 ···················andisoptionally·written·out·to·outETreeFile.·The·old-to-new·IV·object·is·optionally·written\xd65 ···················andisoptionally·written·out·to·outETreeFile.·The·old-to-new·IV·object·is·optionally·written\xd
66 ···················to·outIVfile.·The·IVL·object·that·contains·the·symbolic·factorization·is·optionally·written\xd66 ···················to·outIVfile.·The·IVL·object·that·contains·the·symbolic·factorization·is·optionally·written\xd
67 ···················to·outIVLfile.\xd67 ···················to·outIVLfile.\xd
68 ························································SymbFac·:·DRAFT···········January·7,·2024····································3\xd68 ························································SymbFac·:·DRAFT···········February·8,·2025···································3\xd
69 ·····························The·msglvl·parameter·determines·the·amount·of·output.\xd69 ·····························The·msglvl·parameter·determines·the·amount·of·output.\xd
70 ·····························The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd70 ·····························The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
71 ·······························message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd71 ·······························message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd
72 ·······························data.\xd72 ·······························data.\xd
73 ·····························TheinETreeFileparameteristheinputfilefortheETreeobject.·It·mustbeof·theform\xd73 ·····························TheinETreeFileparameteristheinputfilefortheETreeobject.·It·mustbeof·theform\xd
74 ·······························*.etreefor*.etreeb.·TheETreeobjectisreadfromthefileviatheETree·readFromFile()\xd74 ·······························*.etreefor*.etreeb.·TheETreeobjectisreadfromthefileviatheETree·readFromFile()\xd
75 ·······························method.\xd75 ·······························method.\xd
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101 ·······························data.\xd101 ·······························data.\xd
102 ·····························TheinETreeFileparameteristheinputfilefortheETreeobject.·It·mustbeof·theform\xd102 ·····························TheinETreeFileparameteristheinputfilefortheETreeobject.·It·mustbeof·theform\xd
103 ·······························*.etreefor*.etreeb.·TheETreeobjectisreadfromthefileviatheETree·readFromFile()\xd103 ·······························*.etreefor*.etreeb.·TheETreeobjectisreadfromthefileviatheETree·readFromFile()\xd
104 ·······························method.\xd104 ·······························method.\xd
105 ·····························TheinGraphFileparameteristheinputfilefortheGraphobject.·It·mustbeof·theform\xd105 ·····························TheinGraphFileparameteristheinputfilefortheGraphobject.·It·mustbeof·theform\xd
106 ·······························*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd106 ·······························*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd
107 ·······························method.\xd107 ·······························method.\xd
108 ··················4······································SymbFac·:·DRAFT·January·7,·2024\xd108 ··················4······································SymbFac·:·DRAFT·February·8,·2025\xd
109 ·····························TheoutETreeFileparameter·is·the·output·file·for·the·ETree·object.·If·outETreeFileis\xd109 ·····························TheoutETreeFileparameter·is·the·output·file·for·the·ETree·object.·If·outETreeFileis\xd
110 ·······························nonethentheETreeobjectisnotwrittentoafile.·Otherwise,theETree·writeToFile()\xd110 ·······························nonethentheETreeobjectisnotwrittentoafile.·Otherwise,theETree·writeToFile()\xd
111 ·······························method·is·called·to·write·the·object·to·a·formatted·file·(if·outETreeFile·is·of·the·form\xd111 ·······························method·is·called·to·write·the·object·to·a·formatted·file·(if·outETreeFile·is·of·the·form\xd
112 ·······························*.etreef),·or·a·binary·file·(if·outETreeFile·is·of·the·form·*.etreeb).\xd112 ·······························*.etreef),·or·a·binary·file·(if·outETreeFile·is·of·the·form·*.etreeb).\xd
113 ·····························The·outIVfile·parameter·is·the·output·file·for·the·vertex-to-front·map·IV·object.\xd113 ·····························The·outIVfile·parameter·is·the·output·file·for·the·vertex-to-front·map·IV·object.\xd
114 ·······························If·outIVfile·is·none·then·the·IV·object·is·not·written·to·a·file.······················Otherwise,·the\xd114 ·······························If·outIVfile·is·none·then·the·IV·object·is·not·written·to·a·file.······················Otherwise,·the\xd
115 ·······························IV·writeToFile()methodis·called·to·write·the·object·to·a·formatted·file·(if·outIVfile\xd115 ·······························IV·writeToFile()methodis·called·to·write·the·object·to·a·formatted·file·(if·outIVfile\xd
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Tree.ps
    
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15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
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22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
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2228 /UnderlineThickness·50·def2228 /UnderlineThickness·50·def
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2233 dup·48·/zero·put2233 dup·48·/zero·put
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20 ···············int·*sib·:·pointer·to·sibling·vector,·size·n,·entries·in·the·range·[-1,n-1]\xd20 ···············int·*sib·:·pointer·to·sibling·vector,·size·n,·entries·in·the·range·[-1,n-1]\xd
21 ···········The·user·should·rarely·if·ever·change·these·five·fields.·In·particular,·throughout·the·code·we\xd21 ···········The·user·should·rarely·if·ever·change·these·five·fields.·In·particular,·throughout·the·code·we\xd
22 ···········assume·that·the·Tree·object·was·correctly·initialized·using·one·of·the·three·initializer·methods.\xd22 ···········assume·that·the·Tree·object·was·correctly·initialized·using·one·of·the·three·initializer·methods.\xd
23 ···········Inside·almost·every·method·we·check·to·ensure·n·>·0.·If·n·>·0·then·we·assume·that·the·structure\xd23 ···········Inside·almost·every·method·we·check·to·ensure·n·>·0.·If·n·>·0·then·we·assume·that·the·structure\xd
24 ···········was·intialized·correctly·and·that·the·par,·fch·and·sib·fields·point·to·storage·that·was·allocated·by\xd24 ···········was·intialized·correctly·and·that·the·par,·fch·and·sib·fields·point·to·storage·that·was·allocated·by\xd
25 ···········the·initializer·method.\xd25 ···········the·initializer·method.\xd
26 ·············································1\xd26 ·············································1\xd
27 ··············2·····························Tree·:·DRAFT·January·7,·2024\xd27 ··············2····························Tree·:·DRAFT·February·8,·2025\xd
28 ··············1.2···Prototypes·and·descriptions·of·Tree·methods\xd28 ··············1.2···Prototypes·and·descriptions·of·Tree·methods\xd
29 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·Tree\xd29 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the·Tree\xd
30 ··············object.\xd30 ··············object.\xd
31 ··············1.2.1··Basic·methods\xd31 ··············1.2.1··Basic·methods\xd
32 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd32 ··············As·usual,·there·are·four·basic·methods·to·support·object·creation,·setting·default·fields,·clearing\xd
33 ··············any·allocated·data,·and·free’ing·the·object.\xd33 ··············any·allocated·data,·and·free’ing·the·object.\xd
34 ················1.·Tree·*·Tree_new·(·void·)·;\xd34 ················1.·Tree·*·Tree_new·(·void·)·;\xd
Offset 52, 15 lines modifiedOffset 52, 15 lines modified
52 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd52 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
53 ················2.·int·Tree_root·(·Tree·*tree·)·;\xd53 ················2.·int·Tree_root·(·Tree·*tree·)·;\xd
54 ··················This·method·returns·the·root·of·the·tree.\xd54 ··················This·method·returns·the·root·of·the·tree.\xd
55 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd55 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
56 ················3.·int·*·Tree_par·(·Tree·*tree·)·;\xd56 ················3.·int·*·Tree_par·(·Tree·*tree·)·;\xd
57 ··················This·method·returns·a·pointer·to·the·parent·vector.\xd57 ··················This·method·returns·a·pointer·to·the·parent·vector.\xd
58 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd58 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
59 ······································Tree·:·DRAFT···January·7,·2024····················3\xd59 ······································Tree·:·DRAFT··February·8,·2025····················3\xd
60 ··············4.·int·*·Tree_fch·(·Tree·*tree·)·;\xd60 ··············4.·int·*·Tree_fch·(·Tree·*tree·)·;\xd
61 ·················This·method·returns·a·pointer·to·the·first·child·vector.\xd61 ·················This·method·returns·a·pointer·to·the·first·child·vector.\xd
62 ·················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd62 ·················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
63 ··············5.·int·*·Tree_sib·(·Tree·*tree·)·;\xd63 ··············5.·int·*·Tree_sib·(·Tree·*tree·)·;\xd
64 ·················This·method·returns·a·pointer·to·the·sibling·vector.\xd64 ·················This·method·returns·a·pointer·to·the·sibling·vector.\xd
65 ·················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd65 ·················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
66 ············1.2.3··Initializer·methods\xd66 ············1.2.3··Initializer·methods\xd
Offset 88, 15 lines modifiedOffset 88, 15 lines modified
88 ·················The·subtree·object·is·initialized·from·the·tree·object,·the·nodes·that·are·included·are·those\xd88 ·················The·subtree·object·is·initialized·from·the·tree·object,·the·nodes·that·are·included·are·those\xd
89 ·················found·in·nodeidsIV.·A·parent-child·link·in·the·subtree·means·that·the·two·nodes·have·a\xd89 ·················found·in·nodeidsIV.·A·parent-child·link·in·the·subtree·means·that·the·two·nodes·have·a\xd
90 ·················parent-child·link·in·the·tree.\xd90 ·················parent-child·link·in·the·tree.\xd
91 ·················Return·codes:\xd91 ·················Return·codes:\xd
92 ································1··normal·return······-3··tree·is·NULL\xd92 ································1··normal·return······-3··tree·is·NULL\xd
93 ································-1·subtree·is·NULL····-4··nodeidsIV·is·invalid\xd93 ································-1·subtree·is·NULL····-4··nodeidsIV·is·invalid\xd
94 ································-2·nodeidsIV·is·NULL\xd94 ································-2·nodeidsIV·is·NULL\xd
95 ··············4·····························Tree·:·DRAFT·January·7,·2024\xd95 ··············4····························Tree·:·DRAFT·February·8,·2025\xd
96 ················5.·void·Tree_setFchSibRoot·(·Tree·*tree·)·;\xd96 ················5.·void·Tree_setFchSibRoot·(·Tree·*tree·)·;\xd
97 ··················Theroot·and·the·entries·in·the·fch[]·and·sib[]·vectors·are·set·using·the·entries·in·the·par[]\xd97 ··················Theroot·and·the·entries·in·the·fch[]·and·sib[]·vectors·are·set·using·the·entries·in·the·par[]\xd
98 ··················vector.\xd98 ··················vector.\xd
99 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd99 ··················Error·checking:·If·tree·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
100 ················6.·void·Tree_setRoot·(·Tree·*tree·)·;\xd100 ················6.·void·Tree_setRoot·(·Tree·*tree·)·;\xd
101 ··················The·vertices·that·are·roots·in·the·tree·are·linked·by·their·sib[]·field·and·the·root·of·the·tree\xd101 ··················The·vertices·that·are·roots·in·the·tree·are·linked·by·their·sib[]·field·and·the·root·of·the·tree\xd
102 ··················is·set·to·the·head·of·the·list.\xd102 ··················is·set·to·the·head·of·the·list.\xd
Offset 122, 15 lines modifiedOffset 122, 15 lines modified
122 ··················This·method·returns·the·first·node·in·a·pre-order·traversal.\xd122 ··················This·method·returns·the·first·node·in·a·pre-order·traversal.\xd
123 ··················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·an·error·message·is·printed·and·the\xd123 ··················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·an·error·message·is·printed·and·the\xd
124 ··················program·exits.\xd124 ··················program·exits.\xd
125 ················5.·int·Tree_preOTnext·(·Tree·*tree,·int·v·)·;\xd125 ················5.·int·Tree_preOTnext·(·Tree·*tree,·int·v·)·;\xd
126 ··················This·method·returns·the·node·that·follows·v·in·a·pre-order·traversal.\xd126 ··················This·method·returns·the·node·that·follows·v·in·a·pre-order·traversal.\xd
127 ··················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·or·v·is·not·in·[0,tree->n-1],·an·error\xd127 ··················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·or·v·is·not·in·[0,tree->n-1],·an·error\xd
128 ··················message·is·printed·and·the·program·exits.\xd128 ··················message·is·printed·and·the·program·exits.\xd
129 ······································Tree·:·DRAFT···January·7,·2024····················5\xd129 ······································Tree·:·DRAFT··February·8,·2025····················5\xd
130 ··············6.·int·Tree_nleaves·(·Tree·*tree·)·;\xd130 ··············6.·int·Tree_nleaves·(·Tree·*tree·)·;\xd
131 ·················This·method·returns·the·number·of·leaves·of·the·tree.\xd131 ·················This·method·returns·the·number·of·leaves·of·the·tree.\xd
132 ·················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·an·error·message·is·printed·and·the\xd132 ·················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·an·error·message·is·printed·and·the\xd
133 ·················program·exits.\xd133 ·················program·exits.\xd
134 ··············7.·int·Tree_nroots·(·Tree·*tree·)·;\xd134 ··············7.·int·Tree_nroots·(·Tree·*tree·)·;\xd
135 ·················This·method·returns·the·number·of·roots·of·the·tree·(really·a·forest).\xd135 ·················This·method·returns·the·number·of·roots·of·the·tree·(really·a·forest).\xd
136 ·················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·an·error·message·is·printed·and·the\xd136 ·················Error·checking:·If·tree·is·NULL,·or·if·tree->n·<·1,·an·error·message·is·printed·and·the\xd
Offset 155, 15 lines modifiedOffset 155, 15 lines modified
155 ··············12.·IV·*·Tree_maximizeGainIV·(·Tree·*tree,·IV·*gainIV,·int·*ptotalgain,\xd155 ··············12.·IV·*·Tree_maximizeGainIV·(·Tree·*tree,·IV·*gainIV,·int·*ptotalgain,\xd
156 ··········································int·msglvl,·FILE·*msgFile·)·;\xd156 ··········································int·msglvl,·FILE·*msgFile·)·;\xd
157 ·················Given·a·gain·value·assigned·to·each·node,·find·a·set·of·nodes,·no·two·in·a·child-ancestor\xd157 ·················Given·a·gain·value·assigned·to·each·node,·find·a·set·of·nodes,·no·two·in·a·child-ancestor\xd
158 ·················relationship,·that·maximizes·the·total·gain.·This·problem·arises·in·finding·the·optimal·do-\xd158 ·················relationship,·that·maximizes·the·total·gain.·This·problem·arises·in·finding·the·optimal·do-\xd
159 ·················main/Schur·complement·partition·for·a·semi-implicit·factorization.\xd159 ·················main/Schur·complement·partition·for·a·semi-implicit·factorization.\xd
160 ·················Error·checking:·If·tree,·gainIV·or·ptotalgain·is·NULL,·an·error·message·is·printed·and·the\xd160 ·················Error·checking:·If·tree,·gainIV·or·ptotalgain·is·NULL,·an·error·message·is·printed·and·the\xd
161 ·················program·exits.\xd161 ·················program·exits.\xd
162 ··············6·····························Tree·:·DRAFT·January·7,·2024\xd162 ··············6····························Tree·:·DRAFT·February·8,·2025\xd
163 ··············1.2.5··Metrics·methods\xd163 ··············1.2.5··Metrics·methods\xd
164 ··············Manyoperations·need·to·know·some·metric·defined·on·the·nodes·in·a·tree.·Here·are·three·examples:\xd164 ··············Manyoperations·need·to·know·some·metric·defined·on·the·nodes·in·a·tree.·Here·are·three·examples:\xd
165 ··············the·height·of·a·node·(the·minimum·distance·from·a·descendant·leaf),·the·depth·of·a·node·(the\xd165 ··············the·height·of·a·node·(the·minimum·distance·from·a·descendant·leaf),·the·depth·of·a·node·(the\xd
166 ··············distance·from·its·root·ancestor),·or·the·weight·associated·with·a·subtree·rooted·at·a·node.·Of\xd166 ··············distance·from·its·root·ancestor),·or·the·weight·associated·with·a·subtree·rooted·at·a·node.·Of\xd
167 ··············course,·a·weight·could·be·associated·with·each·node,·so·the·height·or·depth·becomes·the·weight·of\xd167 ··············course,·a·weight·could·be·associated·with·each·node,·so·the·height·or·depth·becomes·the·weight·of\xd
168 ··············the·nodes·on·the·path.\xd168 ··············the·nodes·on·the·path.\xd
169 ·················Metrics·can·be·int·or·double.·Because·of·the·limitations·of·C,·we·need·two·separate·methods\xd169 ·················Metrics·can·be·int·or·double.·Because·of·the·limitations·of·C,·we·need·two·separate·methods\xd
Offset 191, 15 lines modifiedOffset 191, 15 lines modified
191 ··················These·methods·create·and·return·IV·or·DV·objects·that·contain·height·metrics·using·as·input\xd191 ··················These·methods·create·and·return·IV·or·DV·objects·that·contain·height·metrics·using·as·input\xd
192 ··················an·IV·or·DV·object·that·contains·the·metric·for·each·of·the·nodes.·If·hmetric[]·is·the·vector\xd192 ··················an·IV·or·DV·object·that·contains·the·metric·for·each·of·the·nodes.·If·hmetric[]·is·the·vector\xd
193 ··················in·the·returned·IV·or·DV·object,·then\xd193 ··················in·the·returned·IV·or·DV·object,·then\xd
194 ··················hmetric[v]·=·vmetric[v]·if·fch[v]·==·-1\xd194 ··················hmetric[v]·=·vmetric[v]·if·fch[v]·==·-1\xd
195 ······························=·vmetric[v]·+·max_{par[u]·=·v}·hmetric[par[v]]\xd195 ······························=·vmetric[v]·+·max_{par[u]·=·v}·hmetric[par[v]]\xd
196 ··················Error·checking:·If·tree·or·vmetric{I,D}V·is·NULL,·an·error·message·is·printed·and·the\xd196 ··················Error·checking:·If·tree·or·vmetric{I,D}V·is·NULL,·an·error·message·is·printed·and·the\xd
197 ··················program·exits.\xd197 ··················program·exits.\xd
198 ··················································Tree·:·DRAFT·······January·7,·2024·······························7\xd198 ··················································Tree·:·DRAFT·······February·8,·2025······························7\xd
199 ················1.2.6····Compression·methods\xd199 ················1.2.6····Compression·methods\xd
200 ················Frequently·a·tree·will·need·to·be·compressed·in·some·manner.·Elimination·trees·usually·have·long\xd200 ················Frequently·a·tree·will·need·to·be·compressed·in·some·manner.·Elimination·trees·usually·have·long\xd
201 ················chains·of·nodes·at·the·higher·levels,·where·each·chain·of·nodes·corresponds·to·a·supernode.·Liu’s\xd201 ················chains·of·nodes·at·the·higher·levels,·where·each·chain·of·nodes·corresponds·to·a·supernode.·Liu’s\xd
202 ················generalized·row·envelope·methods·partition·the·vertices·by·longest·chains·[?].·In·both·cases,·we·can\xd202 ················generalized·row·envelope·methods·partition·the·vertices·by·longest·chains·[?].·In·both·cases,·we·can\xd
203 ················construct·a·map·from·each·node·to·a·set·of·nodes·to·define·a·smaller,·more·compact·tree.·Given\xd203 ················construct·a·map·from·each·node·to·a·set·of·nodes·to·define·a·smaller,·more·compact·tree.·Given\xd
204 ················such·a·map,·we·construct·the·smaller·tree.\xd204 ················such·a·map,·we·construct·the·smaller·tree.\xd
205 ····················Afundamental·chain·is·a·set·of·nodes·v·,...,v·····such·that·(1)·v·is·a·leaf·or·has·two·or·more\xd205 ····················Afundamental·chain·is·a·set·of·nodes·v·,...,v·····such·that·(1)·v·is·a·leaf·or·has·two·or·more\xd
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232 ······················Error·checking:·If·tree·or·map·is·NULL,·or·if·n·<·1,·an·error·message·is·printed·and·the\xd232 ······················Error·checking:·If·tree·or·map·is·NULL,·or·if·n·<·1,·an·error·message·is·printed·and·the\xd
233 ······················program·exits.\xd233 ······················program·exits.\xd
234 ···················2.·void·Tree_leftJustifyI·(·Tree·*tree,·IV·*metricIV·)·;\xd234 ···················2.·void·Tree_leftJustifyI·(·Tree·*tree,·IV·*metricIV·)·;\xd
235 ······················void·Tree_leftJustifyD·(·Tree·*tree,·DV·*metricIV·)·;\xd235 ······················void·Tree_leftJustifyD·(·Tree·*tree,·DV·*metricIV·)·;\xd
236 ······················This·method·justifies·the·tree,·reordering·the·children·of·each·node·as·necessary.·If·u·and·v\xd236 ······················This·method·justifies·the·tree,·reordering·the·children·of·each·node·as·necessary.·If·u·and·v\xd
237 ······················are·siblings,·and·u·comes·before·v·in·a·post-order·traversal,·then·the·weight·of·the·subtree\xd237 ······················are·siblings,·and·u·comes·before·v·in·a·post-order·traversal,·then·the·weight·of·the·subtree\xd
238 ······················rooted·at·u·is·as·large·or·larger·than·the·weight·of·the·subtree·rooted·at·v.\xd238 ······················rooted·at·u·is·as·large·or·larger·than·the·weight·of·the·subtree·rooted·at·v.\xd
239 ··············8·····························Tree·:·DRAFT·January·7,·2024\xd239 ··············8····························Tree·:·DRAFT·February·8,·2025\xd
240 ··················Error·checking:·If·tree·or·metricIV·is·NULL,·or·if·n·<·1,·or·if·n·is·not·the·size·of·metricIV,\xd240 ··················Error·checking:·If·tree·or·metricIV·is·NULL,·or·if·n·<·1,·or·if·n·is·not·the·size·of·metricIV,\xd
241 ··················an·error·message·is·printed·and·the·program·exits.\xd241 ··················an·error·message·is·printed·and·the·program·exits.\xd
242 ··············1.2.8··Permutation·methods\xd242 ··············1.2.8··Permutation·methods\xd
243 ··············Often·we·need·to·extract·a·permutation·from·a·tree,·e.g.,·a·post-order·traversal·of·an·elimination\xd243 ··············Often·we·need·to·extract·a·permutation·from·a·tree,·e.g.,·a·post-order·traversal·of·an·elimination\xd
244 ··············tree·gives·an·ordering·for·a·sparse·matrix.·On·other·occasions,·we·need·to·permute·a·tree,·i.e.\xd244 ··············tree·gives·an·ordering·for·a·sparse·matrix.·On·other·occasions,·we·need·to·permute·a·tree,·i.e.\xd
245 ··············re-label·the·nodes.\xd245 ··············re-label·the·nodes.\xd
246 ················1.·void·Tree_fillNewToOldPerm·(·Tree·*tree,·int·newToOld[]·)·;\xd246 ················1.·void·Tree_fillNewToOldPerm·(·Tree·*tree,·int·newToOld[]·)·;\xd
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269 ··················Return·codes:\xd269 ··················Return·codes:\xd
270 ···································1··normal·return··········-3··coordflag·is·invalid\xd270 ···································1··normal·return··········-3··coordflag·is·invalid\xd
271 ··································-1··tree·is·NULL···········-3··xDV·is·NULL\xd271 ··································-1··tree·is·NULL···········-3··xDV·is·NULL\xd
272 ··································-2··heightflag·is·invalid··-4··yDV·is·NULL\xd272 ··································-2··heightflag·is·invalid··-4··yDV·is·NULL\xd
273 ················2.·int·Tree_drawToEPS·(·Tree·*tree,·FILE·*filename,·DV·*xDV,·DV·*yDV,\xd273 ················2.·int·Tree_drawToEPS·(·Tree·*tree,·FILE·*filename,·DV·*xDV,·DV·*yDV,\xd
274 ········································double·rscale,·DV·*radiusDV,·int·labelflag,\xd274 ········································double·rscale,·DV·*radiusDV,·int·labelflag,\xd
275 ········································double·fontscale,·IV·*labelsIV,·double·bbox[],\xd275 ········································double·fontscale,·IV·*labelsIV,·double·bbox[],\xd
276 ······································Tree·:·DRAFT···January·7,·2024····················9\xd276 ······································Tree·:·DRAFT··February·8,·2025····················9\xd
277 ····································double·frame[],·double·bounds[]·)·;\xd277 ····································double·frame[],·double·bounds[]·)·;\xd
278 ·················This·method·draws·a·tree.·The·coordinates·of·the·nodes·are·found·in·the·xDV·and·yDV·vectors.\xd278 ·················This·method·draws·a·tree.·The·coordinates·of·the·nodes·are·found·in·the·xDV·and·yDV·vectors.\xd
279 ·················The·nodes·will·have·circles·of·constant·radius·(if·radiusDV·is·NULL)·or·each·circle·can·have·a\xd279 ·················The·nodes·will·have·circles·of·constant·radius·(if·radiusDV·is·NULL)·or·each·circle·can·have·a\xd
280 ·················different·radius·found·in·radiusDV·when·radiusDV·is·not·NULL.·The·value·rscale·is·used·to\xd280 ·················different·radius·found·in·radiusDV·when·radiusDV·is·not·NULL.·The·value·rscale·is·used·to\xd
281 ·················scale·all·the·radii.·(If·radiusDV·is·NULL,·then·all·radii·are·equal·to·one·point··there·are·72\xd281 ·················scale·all·the·radii.·(If·radiusDV·is·NULL,·then·all·radii·are·equal·to·one·point··there·are·72\xd
282 ·················points·to·the·inch.)\xd282 ·················points·to·the·inch.)\xd
283 ·················If·labelflag·=·1,·the·nodes·will·have·a·numeric·label.·If·labelsIV·is·NULL,·then·the·label\xd283 ·················If·labelflag·=·1,·the·nodes·will·have·a·numeric·label.·If·labelsIV·is·NULL,·then·the·label\xd
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Offset 22, 15 lines modifiedOffset 22, 15 lines modified
22 ·····················struct·_I2OP·{\xd22 ·····················struct·_I2OP·{\xd
23 ·······················int···value0·;\xd23 ·······················int···value0·;\xd
24 ·······················int···value1·;\xd24 ·······················int···value1·;\xd
25 ·······················void··*value2·;\xd25 ·······················void··*value2·;\xd
26 ·······················I2OP··*next··;\xd26 ·······················I2OP··*next··;\xd
27 ·····················}·;\xd27 ·····················}·;\xd
28 ·············································1\xd28 ·············································1\xd
29 ··············2··························Utilities·:·DRAFT·January·7,·2024\xd29 ··············2··························Utilities·:·DRAFT·February·8,·2025\xd
30 ··············1.2···Prototypes·and·descriptions·of·Utilities·methods\xd30 ··············1.2···Prototypes·and·descriptions·of·Utilities·methods\xd
31 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd31 ··············This·section·contains·brief·descriptions·including·prototypes·of·all·methods·that·belong·to·the\xd
32 ··············Utilities·directory.\xd32 ··············Utilities·directory.\xd
33 ··············1.2.1··CV·:·char·vector·methods\xd33 ··············1.2.1··CV·:·char·vector·methods\xd
34 ················1.·char·*·CVinit·(·int·n,·char·c·)·;\xd34 ················1.·char·*·CVinit·(·int·n,·char·c·)·;\xd
35 ···················This·is·the·allocator·and·initializer·method·for·char·vectors.·Storage·for·an·array·with·size\xd35 ···················This·is·the·allocator·and·initializer·method·for·char·vectors.·Storage·for·an·array·with·size\xd
36 ···················n·is·found·and·each·entry·is·filled·with·character·c.·A·pointer·to·the·array·is·returned.\xd36 ···················n·is·found·and·each·entry·is·filled·with·character·c.·A·pointer·to·the·array·is·returned.\xd
Offset 54, 15 lines modifiedOffset 54, 15 lines modified
54 ················8.·int·CVfscanf·(·FILE·*fp,·int·n,·char·y[]·)·;\xd54 ················8.·int·CVfscanf·(·FILE·*fp,·int·n,·char·y[]·)·;\xd
55 ···················This·method·scans·in·characters·from·file·fp·and·places·them·in·the·array·y[].·It·tries·to\xd55 ···················This·method·scans·in·characters·from·file·fp·and·places·them·in·the·array·y[].·It·tries·to\xd
56 ···················read·in·n·characters,·and·returns·the·number·that·were·actually·read.\xd56 ···················read·in·n·characters,·and·returns·the·number·that·were·actually·read.\xd
57 ··············1.2.2··DV·:·double·vector·methods\xd57 ··············1.2.2··DV·:·double·vector·methods\xd
58 ················1.·double·*·DVinit·(·int·n,·double·val·)·;\xd58 ················1.·double·*·DVinit·(·int·n,·double·val·)·;\xd
59 ···················This·is·the·allocator·and·initializer·method·for·double·vectors.·Storage·for·an·array·with·size\xd59 ···················This·is·the·allocator·and·initializer·method·for·double·vectors.·Storage·for·an·array·with·size\xd
60 ···················n·is·found·and·each·entry·is·filled·with·val.·A·pointer·to·the·array·is·returned.\xd60 ···················n·is·found·and·each·entry·is·filled·with·val.·A·pointer·to·the·array·is·returned.\xd
61 ·····································Utilities·:·DRAFT··January·7,·2024··················3\xd61 ····································Utilities·:·DRAFT···February·8,·2025·················3\xd
62 ···············2.·double·*·DVinit2·(·int·n·)·;\xd62 ···············2.·double·*·DVinit2·(·int·n·)·;\xd
63 ·················This·is·an·allocator·method·for·double·vectors.·Storage·for·an·array·with·size·n·is·found.·A\xd63 ·················This·is·an·allocator·method·for·double·vectors.·Storage·for·an·array·with·size·n·is·found.·A\xd
64 ·················pointer·to·the·array·is·returned.·Note,·on·return,·there·will·likely·be·garbage·in·the·array.\xd64 ·················pointer·to·the·array·is·returned.·Note,·on·return,·there·will·likely·be·garbage·in·the·array.\xd
65 ···············3.·void·DVfree·(·int·vec[]·)·;\xd65 ···············3.·void·DVfree·(·int·vec[]·)·;\xd
66 ·················This·method·releases·the·storage·taken·by·vec[].\xd66 ·················This·method·releases·the·storage·taken·by·vec[].\xd
67 ···············4.·void·DVfprintf·(·FILE·*fp,·int·n,·double·y[]·)·;\xd67 ···············4.·void·DVfprintf·(·FILE·*fp,·int·n,·double·y[]·)·;\xd
68 ·················This·method·prints·n·entries·in·y[]·to·file·fp.·The·format·is·new·line·followed·by·lines·of·six\xd68 ·················This·method·prints·n·entries·in·y[]·to·file·fp.·The·format·is·new·line·followed·by·lines·of·six\xd
Offset 90, 15 lines modifiedOffset 90, 15 lines modified
90 ·················This·method·computes·this·computation.\xd90 ·················This·method·computes·this·computation.\xd
91 ·················y0[]·=·y0[]·+·alpha[0]·*·x0[]·+·alpha[1]·*·x1[]\xd91 ·················y0[]·=·y0[]·+·alpha[0]·*·x0[]·+·alpha[1]·*·x1[]\xd
92 ·················y1[]·=·y1[]·+·alpha[2]·*·x0[]·+·alpha[3]·*·x1[]\xd92 ·················y1[]·=·y1[]·+·alpha[2]·*·x0[]·+·alpha[3]·*·x1[]\xd
93 ·················y2[]·=·y2[]·+·alpha[4]·*·x0[]·+·alpha[5]·*·x1[]\xd93 ·················y2[]·=·y2[]·+·alpha[4]·*·x0[]·+·alpha[5]·*·x1[]\xd
94 ··············11.·void·DVaxpy31·(·int·n,·double·y0[],·double·y1[],·double·y2[],\xd94 ··············11.·void·DVaxpy31·(·int·n,·double·y0[],·double·y1[],·double·y2[],\xd
95 ································double·alpha,·double·x0[],·double·x1[]·)·;\xd95 ································double·alpha,·double·x0[],·double·x1[]·)·;\xd
96 ·················This·method·computes·this·computation.\xd96 ·················This·method·computes·this·computation.\xd
97 ·······4·············Utilities·:·DRAFT·January·7,·2024\xd97 ·······4·············Utilities·:·DRAFT·February·8,·2025\xd
98 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]\xd98 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]\xd
99 ··········y1[]·=·y1[]·+·alpha[1]·*·x0[]\xd99 ··········y1[]·=·y1[]·+·alpha[1]·*·x0[]\xd
100 ··········y2[]·=·y2[]·+·alpha[2]·*·x0[]\xd100 ··········y2[]·=·y2[]·+·alpha[2]·*·x0[]\xd
101 ········12.·void·DVaxpy23·(·int·n,·double·y0[],·double·y1[],\xd101 ········12.·void·DVaxpy23·(·int·n,·double·y0[],·double·y1[],\xd
102 ··················double·alpha,·double·x0[],·double·x1[],·double·x2[]·)·;\xd102 ··················double·alpha,·double·x0[],·double·x1[],·double·x2[]·)·;\xd
103 ··········This·method·computes·this·computation.\xd103 ··········This·method·computes·this·computation.\xd
104 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]·+·alpha[1]·*·x1[]·+·alpha[2]·*·x2[]\xd104 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]·+·alpha[1]·*·x1[]·+·alpha[2]·*·x2[]\xd
Offset 121, 15 lines modifiedOffset 121, 15 lines modified
121 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]·+·alpha[1]·*·x1[]\xd121 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]·+·alpha[1]·*·x1[]\xd
122 ········17.·void·DVaxpy11·(·int·n,·double·y0[],·double·alpha,·double·x0[]·)·;\xd122 ········17.·void·DVaxpy11·(·int·n,·double·y0[],·double·alpha,·double·x0[]·)·;\xd
123 ··········This·method·computes·this·computation.\xd123 ··········This·method·computes·this·computation.\xd
124 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]\xd124 ··········y0[]·=·y0[]·+·alpha[0]·*·x0[]\xd
125 ········18.·void·DVaxpyi·(·int·n,·double·y[],·int·index[],·double·alpha,·double·x[]·)·;\xd125 ········18.·void·DVaxpyi·(·int·n,·double·y[],·int·index[],·double·alpha,·double·x[]·)·;\xd
126 ··········This·method·scatteradds·a·scaled·multiple·of·n·entries·from·x[]·into·y[],·i.e.,·y[index[i]]\xd126 ··········This·method·scatteradds·a·scaled·multiple·of·n·entries·from·x[]·into·y[],·i.e.,·y[index[i]]\xd
127 ··········+=·alpha·*·x[i]·for·0·<=·i·<·n.\xd127 ··········+=·alpha·*·x[i]·for·0·<=·i·<·n.\xd
128 ········································Utilities·:·DRAFT····January·7,·2024·····················5\xd128 ·······································Utilities·:·DRAFT····February·8,·2025·····················5\xd
129 ···············19.·void·DVcompress·(·int·n1,·double·x1[],·double·y1[],\xd129 ···············19.·void·DVcompress·(·int·n1,·double·x1[],·double·y1[],\xd
130 ·····································int·n2,·double·x2[],·double·y2[]·)·;\xd130 ·····································int·n2,·double·x2[],·double·y2[]·)·;\xd
131 ··················Given·a·pair·of·arrays·x1[n1]·and·y1[n1],·fill·x2[n2]·and·y2[n2]·with·a·subset·of·the\xd131 ··················Given·a·pair·of·arrays·x1[n1]·and·y1[n1],·fill·x2[n2]·and·y2[n2]·with·a·subset·of·the\xd
132 ··················(x1[j],y1[j]·entries·whose·distribution·is·an·approximation.\xd132 ··················(x1[j],y1[j]·entries·whose·distribution·is·an·approximation.\xd
133 ···············20.·void·DVcopy·(·int·n,·double·y[],·double·x[]·)·;\xd133 ···············20.·void·DVcopy·(·int·n,·double·y[],·double·x[]·)·;\xd
134 ··················This·method·copies·n·entries·from·x[]·to·y[],·i.e.,·y[i]·=·x[i]·for·0·<=·i·<·n.\xd134 ··················This·method·copies·n·entries·from·x[]·to·y[],·i.e.,·y[i]·=·x[i]·for·0·<=·i·<·n.\xd
135 ···············21.·int·DVdot·(·int·n,·double·y[],·double·x[]·)·;\xd135 ···············21.·int·DVdot·(·int·n,·double·y[],·double·x[]·)·;\xd
Offset 167, 15 lines modifiedOffset 167, 15 lines modified
167 ····························i=0\xd167 ····························i=0\xd
168 ····························n−1\xd168 ····························n−1\xd
169 ···················sums[1]·=·Xrow1[i]∗col0[i]\xd169 ···················sums[1]·=·Xrow1[i]∗col0[i]\xd
170 ····························i=0\xd170 ····························i=0\xd
171 ····························n−1\xd171 ····························n−1\xd
172 ···················sums[2]·=·Xrow2[i]∗col0[i]\xd172 ···················sums[2]·=·Xrow2[i]∗col0[i]\xd
173 ····························i=0\xd173 ····························i=0\xd
174 ·············6···························Utilities·:·DRAFT·January·7,·2024\xd174 ·············6··························Utilities·:·DRAFT·February·8,·2025\xd
175 ···············25.·int·DVdot23·(·int·n,·double·row0[],·double·row1[],\xd175 ···············25.·int·DVdot23·(·int·n,·double·row0[],·double·row1[],\xd
176 ·································double·col0[],·double·col1[],·double·col2[],·double·sums[]·)·;\xd176 ·································double·col0[],·double·col1[],·double·col2[],·double·sums[]·)·;\xd
177 ··················This·method·computes·six·dot·products.\xd177 ··················This·method·computes·six·dot·products.\xd
178 ····························n−1··························n−1·························n−1\xd178 ····························n−1··························n−1·························n−1\xd
179 ···················sums[0]·=·Xrow0[i]∗col0[i]···sums[1]·=·Xrow0[i]∗col1[i]··sums[2]·=·Xrow0[i]∗col2[i]\xd179 ···················sums[0]·=·Xrow0[i]∗col0[i]···sums[1]·=·Xrow0[i]∗col1[i]··sums[2]·=·Xrow0[i]∗col2[i]\xd
180 ····························i=0··························i=0·························i=0\xd180 ····························i=0··························i=0·························i=0\xd
181 ····························n−1··························n−1·························n−1\xd181 ····························n−1··························n−1·························n−1\xd
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212 ···················sums[0]·=·Xrow0[i]∗col0[i]···sums[1]·=·Xrow0[i]∗col1[i]\xd212 ···················sums[0]·=·Xrow0[i]∗col0[i]···sums[1]·=·Xrow0[i]∗col1[i]\xd
213 ····························i=0··························i=0\xd213 ····························i=0··························i=0\xd
214 ···············30.·int·DVdot11·(·int·n,·double·row0[],·double·col0[],·double·sums[]·)·;\xd214 ···············30.·int·DVdot11·(·int·n,·double·row0[],·double·col0[],·double·sums[]·)·;\xd
215 ··················This·method·computes·one·dot·product.\xd215 ··················This·method·computes·one·dot·product.\xd
216 ····························n−1\xd216 ····························n−1\xd
217 ···················sums[0]·=·Xrow0[i]∗col0[i]\xd217 ···················sums[0]·=·Xrow0[i]∗col0[i]\xd
218 ····························i=0\xd218 ····························i=0\xd
219 ·····································Utilities·:·DRAFT··January·7,·2024··················7\xd219 ····································Utilities·:·DRAFT···February·8,·2025·················7\xd
220 ··············31.·int·DVdoti·(·int·n,·double·y[],·int·index[],·double·x[]·)·;\xd220 ··············31.·int·DVdoti·(·int·n,·double·y[],·int·index[],·double·x[]·)·;\xd
221 ······················································n−1\xd221 ······················································n−1\xd
222 ·················This·method·returns·the·indexed·dot·product·Xy[index[i]]∗x[i].\xd222 ·················This·method·returns·the·indexed·dot·product·Xy[index[i]]∗x[i].\xd
223 ······················································i=0\xd223 ······················································i=0\xd
224 ··············32.·void·DVfill·(·int·n,·double·y[],·double·val·)·;\xd224 ··············32.·void·DVfill·(·int·n,·double·y[],·double·val·)·;\xd
225 ·················This·method·fills·n·entries·in·y[]·with·val,·i.e.,·y[i]·=·val·for·0·<=·i·<·n.\xd225 ·················This·method·fills·n·entries·in·y[]·with·val,·i.e.,·y[i]·=·val·for·0·<=·i·<·n.\xd
226 ··············33.·void·DVgather·(·int·n,·double·y[],·double·x[],·int·index[]·)·;\xd226 ··············33.·void·DVgather·(·int·n,·double·y[],·double·x[],·int·index[]·)·;\xd
Offset 248, 15 lines modifiedOffset 248, 15 lines modified
248 ·················This·method·permutes·the·vector·y·as·follows.·i.e.,·y[i]·:=·y[index[i]].·See·DVinvPerm()\xd248 ·················This·method·permutes·the·vector·y·as·follows.·i.e.,·y[i]·:=·y[index[i]].·See·DVinvPerm()\xd
249 ·················for·a·similar·function.\xd249 ·················for·a·similar·function.\xd
250 ··············42.·void·DVramp·(·int·n,·double·y[],·double·start,·double·inc·)·;\xd250 ··············42.·void·DVramp·(·int·n,·double·y[],·double·start,·double·inc·)·;\xd
251 ·················This·method·fills·n·entries·in·y[]·with·values·start,·start·+·inc,·start·+·2*inc,·start\xd251 ·················This·method·fills·n·entries·in·y[]·with·values·start,·start·+·inc,·start·+·2*inc,·start\xd
252 ·················+·3*inc,·etc.\xd252 ·················+·3*inc,·etc.\xd
253 ··············43.·void·DVscale·(·int·n,·double·y[],·double·alpha·)·;\xd253 ··············43.·void·DVscale·(·int·n,·double·y[],·double·alpha·)·;\xd
254 ·················This·method·scales·a·vector·y[]·by·alpha,·i.e.,·y[i]·*=·alpha.·for·0·<=·i·<·n.\xd254 ·················This·method·scales·a·vector·y[]·by·alpha,·i.e.,·y[i]·*=·alpha.·for·0·<=·i·<·n.\xd
255 ·····························8···························································Utilities·:·DRAFT·January·7,·2024\xd255 ·····························8··························································Utilities·:·DRAFT·February·8,·2025\xd
256 ································44.·void·DVscale2·(·int·n,·double·x[],·double·y[],\xd256 ································44.·void·DVscale2·(·int·n,·double·x[],·double·y[],\xd
257 ·············································································double·a,·double·b,·double·c,·double·d·)·;\xd257 ·············································································double·a,·double·b,·double·c,·double·d·)·;\xd
258 ········································This·method·scales·two·vectors·y[]·by·a·2·×2·matrix,·i.e.,\xd258 ········································This·method·scales·two·vectors·y[]·by·a·2·×2·matrix,·i.e.,\xd
259 ·······································································"·x[0]··········.·.·.····x[n−1]·#·:=·"·a·b·#"·x[0]·...·x[n−1]·#.\xd259 ·······································································"·x[0]··········.·.·.····x[n−1]·#·:=·"·a·b·#"·x[0]·...·x[n−1]·#.\xd
260 ············································································y[0]·······.·.·.····y[n−1]························c·d···············y[0]·······.·.·.····y[n−1]\xd260 ············································································y[0]·······.·.·.····y[n−1]························c·d···············y[0]·······.·.·.····y[n−1]\xd
261 ································45.·void·DVscatter·(·int·n,·double·y[],·int·index[],·double·x[]·)·;\xd261 ································45.·void·DVscatter·(·int·n,·double·y[],·int·index[],·double·x[]·)·;\xd
262 ········································This·method·scatters·n·entries·of·x[]·into·y[]·as·follows,·y[index[i]]·=·x[i]·for·0·<=·i\xd262 ········································This·method·scatters·n·entries·of·x[]·into·y[]·as·follows,·y[index[i]]·=·x[i]·for·0·<=·i\xd
Offset 284, 15 lines modifiedOffset 284, 15 lines modified
284 ········································This·method·swaps·the·x[]·and·y[]·vectors·as·follows.·i.e.,·y[i]·:=·x[i]·and·x[i]·:=\xd284 ········································This·method·swaps·the·x[]·and·y[]·vectors·as·follows.·i.e.,·y[i]·:=·x[i]·and·x[i]·:=\xd
285 ········································y[i]·for·0·<=·i·<·n.\xd285 ········································y[i]·for·0·<=·i·<·n.\xd
286 ································53.·void·DVzero·(·int·n,·double·y[]·)·;\xd286 ································53.·void·DVzero·(·int·n,·double·y[]·)·;\xd
287 ········································This·method·zeroes·n·entries·in·y[],·i.e.,·y[i]·=·0·for·0·<=·i·<·n.\xd287 ········································This·method·zeroes·n·entries·in·y[],·i.e.,·y[i]·=·0·for·0·<=·i·<·n.\xd
288 ································54.·void·DVshuffle·(·int·n,·double·y[],·int·seed·)·;\xd288 ································54.·void·DVshuffle·(·int·n,·double·y[],·int·seed·)·;\xd
289 ········································This·method·shuffles·the·first·n·entries·in·y[].·The·value·seed·is·the·seed·to·a·random·number\xd289 ········································This·method·shuffles·the·first·n·entries·in·y[].·The·value·seed·is·the·seed·to·a·random·number\xd
290 ········································generator,·and·one·can·get·repeatable·behavior·by·repeating·seed.\xd290 ········································generator,·and·one·can·get·repeatable·behavior·by·repeating·seed.\xd
291 ·····································Utilities·:·DRAFT··January·7,·2024··················9\xd291 ····································Utilities·:·DRAFT···February·8,·2025·················9\xd
292 ············1.2.3··ZV·:·double·complex·vector·methods\xd292 ············1.2.3··ZV·:·double·complex·vector·methods\xd
293 ············Adoubleprecisioncomplexvector·oflengthnissimplya·doubleprecisionvector·oflength2n.·There\xd293 ············Adoubleprecisioncomplexvector·oflengthnissimplya·doubleprecisionvector·oflength2n.·There\xd
294 ············is·a·separate·ZVinit()·allocator·and·initializer·method,·since·it·requires·a·real·and·imaginary·part\xd294 ············is·a·separate·ZVinit()·allocator·and·initializer·method,·since·it·requires·a·real·and·imaginary·part\xd
295 ············to·fill·the·vector.·However,·there·is·no·ZVinit2()·method·(which·allocates·without·initializing·the\xd295 ············to·fill·the·vector.·However,·there·is·no·ZVinit2()·method·(which·allocates·without·initializing·the\xd
296 ············entries)·nor·a·ZVfree()·method·to·free·the·entries;·the·DVinit2()·and·DVfree()·methods·can·be\xd296 ············entries)·nor·a·ZVfree()·method·to·free·the·entries;·the·DVinit2()·and·DVfree()·methods·can·be\xd
297 ············used.·Similarly,·there·is·no·ZVfscanf()·method,·instead·the·DVfscanf()·method·can·be·used.\xd297 ············used.·Similarly,·there·is·no·ZVfscanf()·method,·instead·the·DVfscanf()·method·can·be·used.\xd
298 ···············1.·double·*·ZVinit·(·int·n,·double·real,·double·imag·)·;\xd298 ···············1.·double·*·ZVinit·(·int·n,·double·real,·double·imag·)·;\xd
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Offset 22, 15 lines modifiedOffset 22, 15 lines modified
22 ···············Onemustchoose·where·to·use·this·object.·There·is·a·substantial·performance·penalty·for·doing·the\xd22 ···············Onemustchoose·where·to·use·this·object.·There·is·a·substantial·performance·penalty·for·doing·the\xd
23 ···············simplest·operations,·and·so·when·we·need·to·manipulate·an·double·vector·inside·a·loop,·we·extract\xd23 ···············simplest·operations,·and·so·when·we·need·to·manipulate·an·double·vector·inside·a·loop,·we·extract\xd
24 ···············out·the·size·and·pointer·to·the·base·array·from·the·ZV·object.·On·the·other·hand,·the·convenience\xd24 ···············out·the·size·and·pointer·to·the·base·array·from·the·ZV·object.·On·the·other·hand,·the·convenience\xd
25 ···············makes·it·a·widely·used·object.\xd25 ···············makes·it·a·widely·used·object.\xd
26 ···············1.1····Data·Structure\xd26 ···············1.1····Data·Structure\xd
27 ···············The·ZV·structure·has·three·fields.\xd27 ···············The·ZV·structure·has·three·fields.\xd
28 ·····························································1\xd28 ·····························································1\xd
29 ··············2······························ZV·:·DRAFT·January·7,·2024\xd29 ··············2·····························ZV·:·DRAFT·February·8,·2025\xd
30 ··················int·size·:·present·size·of·the·vector.\xd30 ··················int·size·:·present·size·of·the·vector.\xd
31 ··················int·maxsize·:·maximum·size·of·the·vector.\xd31 ··················int·maxsize·:·maximum·size·of·the·vector.\xd
32 ··················int·owned·:·owner·flag·for·the·data.·When·owned·=·1,·storage·for·owned·double’s·has·been\xd32 ··················int·owned·:·owner·flag·for·the·data.·When·owned·=·1,·storage·for·owned·double’s·has·been\xd
33 ···················allocated·by·this·object·and·can·be·free’d·by·the·object.·When·owned·==·0·but·size·>·0·,\xd33 ···················allocated·by·this·object·and·can·be·free’d·by·the·object.·When·owned·==·0·but·size·>·0·,\xd
34 ···················this·object·points·to·entries·that·have·been·allocated·elsewhere,·and·these·entries·will·not·be\xd34 ···················this·object·points·to·entries·that·have·been·allocated·elsewhere,·and·these·entries·will·not·be\xd
35 ···················free’d·by·this·object.\xd35 ···················free’d·by·this·object.\xd
36 ··················double·*vec·:·pointer·to·the·base·address·of·the·double·vector\xd36 ··················double·*vec·:·pointer·to·the·base·address·of·the·double·vector\xd
Offset 54, 15 lines modifiedOffset 54, 15 lines modified
54 ···················the·storage·for·vec·is·free’d·by·a·call·to·ZVfree().·The·structure’s·default·fields·are·then·set\xd54 ···················the·storage·for·vec·is·free’d·by·a·call·to·ZVfree().·The·structure’s·default·fields·are·then·set\xd
55 ···················with·a·call·to·ZV·setDefaultFields().\xd55 ···················with·a·call·to·ZV·setDefaultFields().\xd
56 ···················Error·checking:·If·zv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd56 ···················Error·checking:·If·zv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
57 ················4.·void·ZV_free·(·ZV·*zv·)·;\xd57 ················4.·void·ZV_free·(·ZV·*zv·)·;\xd
58 ···················This·method·releases·any·storage·by·a·call·to·ZV·clearData()·then·free’s·the·storage·for·the\xd58 ···················This·method·releases·any·storage·by·a·call·to·ZV·clearData()·then·free’s·the·storage·for·the\xd
59 ···················structure·with·a·call·to·free().\xd59 ···················structure·with·a·call·to·free().\xd
60 ···················Error·checking:·If·zv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd60 ···················Error·checking:·If·zv·is·NULL·an·error·message·is·printed·and·the·program·exits.\xd
61 ········································ZV·:·DRAFT··January·7,·2024······················3\xd61 ·······································ZV·:·DRAFT···February·8,·2025·····················3\xd
62 ············1.2.2··Instance·methods\xd62 ············1.2.2··Instance·methods\xd
63 ············These·method·allow·access·to·information·in·the·data·fields·without·explicitly·following·pointers.\xd63 ············These·method·allow·access·to·information·in·the·data·fields·without·explicitly·following·pointers.\xd
64 ············There·is·overhead·involved·with·these·method·due·to·the·function·call·and·error·checking·inside\xd64 ············There·is·overhead·involved·with·these·method·due·to·the·function·call·and·error·checking·inside\xd
65 ············the·methods.\xd65 ············the·methods.\xd
66 ···············1.·int·ZV_owned·(·ZV·*zv·)·;\xd66 ···············1.·int·ZV_owned·(·ZV·*zv·)·;\xd
67 ·················This·method·returns·the·value·of·owned.·If·owned·>·0,·then·the·object·owns·the·data·pointed\xd67 ·················This·method·returns·the·value·of·owned.·If·owned·>·0,·then·the·object·owns·the·data·pointed\xd
68 ·················to·by·vec·and·will·free·this·data·with·a·call·to·ZVfree()·when·its·data·is·cleared·by·a·call·to\xd68 ·················to·by·vec·and·will·free·this·data·with·a·call·to·ZVfree()·when·its·data·is·cleared·by·a·call·to\xd
Offset 91, 15 lines modifiedOffset 91, 15 lines modified
91 ·················This·method·returns·vec,·a·pointer·to·the·base·address·of·the·vector.\xd91 ·················This·method·returns·vec,·a·pointer·to·the·base·address·of·the·vector.\xd
92 ·················Error·checking:·If·zv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd92 ·················Error·checking:·If·zv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
93 ···············7.·void·ZV_sizeAndEntries·(·ZV·*zv,·int·*psize,·double·**pentries·)·;\xd93 ···············7.·void·ZV_sizeAndEntries·(·ZV·*zv,·int·*psize,·double·**pentries·)·;\xd
94 ·················This·method·fills·*psize·with·the·size·of·the·vector·and·**pentries·with·the·base·address\xd94 ·················This·method·fills·*psize·with·the·size·of·the·vector·and·**pentries·with·the·base·address\xd
95 ·················of·the·vector.\xd95 ·················of·the·vector.\xd
96 ·················Error·checking:·If·zv,·psize·or·pentriesis·NULL,·an·error·message·is·printed·and·the·program\xd96 ·················Error·checking:·If·zv,·psize·or·pentriesis·NULL,·an·error·message·is·printed·and·the·program\xd
97 ·················exits.\xd97 ·················exits.\xd
98 ··············4······························ZV·:·DRAFT·January·7,·2024\xd98 ··············4·····························ZV·:·DRAFT·February·8,·2025\xd
99 ················8.·void·ZV_setEntry·(·ZV·*zv,·int·loc,·double·real,·double·imag·)·;\xd99 ················8.·void·ZV_setEntry·(·ZV·*zv,·int·loc,·double·real,·double·imag·)·;\xd
100 ···················This·method·sets·the·loc’th·entry·of·the·vector·to·(real,imag).\xd100 ···················This·method·sets·the·loc’th·entry·of·the·vector·to·(real,imag).\xd
101 ···················Error·checking:·If·zv·is·NULL·or·loc·<·0,·an·error·message·is·printed·and·the·program·exits.\xd101 ···················Error·checking:·If·zv·is·NULL·or·loc·<·0,·an·error·message·is·printed·and·the·program·exits.\xd
102 ··············1.2.3··Initializer·methods\xd102 ··············1.2.3··Initializer·methods\xd
103 ··············There·are·three·initializer·methods.\xd103 ··············There·are·three·initializer·methods.\xd
104 ················1.·void·ZV_init·(·ZV·*zv,·int·size,·double·*entries·)·;\xd104 ················1.·void·ZV_init·(·ZV·*zv,·int·size,·double·*entries·)·;\xd
105 ···················This·method·initializes·the·object·given·a·size·for·the·vector·and·a·possible·pointer·to·the\xd105 ···················This·method·initializes·the·object·given·a·size·for·the·vector·and·a·possible·pointer·to·the\xd
Offset 128, 15 lines modifiedOffset 128, 15 lines modified
128 ···················Error·checking:·If·zv·is·NULL·or·newmaxsize·<·0,·or·if·0·<·maxsize·and·owned·==·0,·an\xd128 ···················Error·checking:·If·zv·is·NULL·or·newmaxsize·<·0,·or·if·0·<·maxsize·and·owned·==·0,·an\xd
129 ···················error·message·is·printed·and·the·program·exits.\xd129 ···················error·message·is·printed·and·the·program·exits.\xd
130 ················5.·void·ZV_setSize·(·ZV·*zv,·int·newsize·)·;\xd130 ················5.·void·ZV_setSize·(·ZV·*zv,·int·newsize·)·;\xd
131 ···················This·method·sets·the·size·of·the·vector.·If·newsize·>·maxsize,·the·length·of·the·vector·is\xd131 ···················This·method·sets·the·size·of·the·vector.·If·newsize·>·maxsize,·the·length·of·the·vector·is\xd
132 ···················increased·with·a·call·to·ZV·setMaxsize().·The·size·field·is·set·to·newsize.\xd132 ···················increased·with·a·call·to·ZV·setMaxsize().·The·size·field·is·set·to·newsize.\xd
133 ···················Error·checking:·If·zv·is·NULL,·or·newsize·<·0,·or·if·0·<·maxsize·<·newsize·and·owned·=\xd133 ···················Error·checking:·If·zv·is·NULL,·or·newsize·<·0,·or·if·0·<·maxsize·<·newsize·and·owned·=\xd
134 ···················0,·an·error·message·is·printed·and·the·program·exits.\xd134 ···················0,·an·error·message·is·printed·and·the·program·exits.\xd
135 ········································ZV·:·DRAFT··January·7,·2024······················5\xd135 ·······································ZV·:·DRAFT···February·8,·2025·····················5\xd
136 ············1.2.4··Utility·methods\xd136 ············1.2.4··Utility·methods\xd
137 ···············1.·void·ZV_shiftBase·(·ZV·*zv,·int·offset·)·;\xd137 ···············1.·void·ZV_shiftBase·(·ZV·*zv,·int·offset·)·;\xd
138 ·················This·method·shifts·the·base·entries·of·the·vector·and·decrements·the·present·size·and·max-\xd138 ·················This·method·shifts·the·base·entries·of·the·vector·and·decrements·the·present·size·and·max-\xd
139 ·················imum·size·of·the·vector·by·offset.·This·is·a·dangerous·method·to·use·because·the·state·of\xd139 ·················imum·size·of·the·vector·by·offset.·This·is·a·dangerous·method·to·use·because·the·state·of\xd
140 ·················the·vector·is·lost,·namely·vec,·the·base·of·the·entries,·is·corrupted.·If·the·object·owns·its\xd140 ·················the·vector·is·lost,·namely·vec,·the·base·of·the·entries,·is·corrupted.·If·the·object·owns·its\xd
141 ·················entries·and·ZV·free(),·ZV·setSize()·or·ZV·setMaxsize()·is·called·before·the·base·has·been\xd141 ·················entries·and·ZV·free(),·ZV·setSize()·or·ZV·setMaxsize()·is·called·before·the·base·has·been\xd
142 ·················shifted·back·to·its·original·position,·a·segmentation·violation·will·likely·result.·This·is·a·very\xd142 ·················shifted·back·to·its·original·position,·a·segmentation·violation·will·likely·result.·This·is·a·very\xd
Offset 162, 15 lines modifiedOffset 162, 15 lines modified
162 ·················This·method·fills·the·vector·with·zeros.\xd162 ·················This·method·fills·the·vector·with·zeros.\xd
163 ·················Error·checking:·If·zv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd163 ·················Error·checking:·If·zv·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
164 ···············7.·void·ZV_copy·(·ZV·*zv1,·ZV·*zv2·)·;\xd164 ···············7.·void·ZV_copy·(·ZV·*zv1,·ZV·*zv2·)·;\xd
165 ·················This·method·fills·the·zv1·object·with·entries·in·the·iv2·object.·Note,·this·is·a·mapped·copy,\xd165 ·················This·method·fills·the·zv1·object·with·entries·in·the·iv2·object.·Note,·this·is·a·mapped·copy,\xd
166 ·················zv1·and·zv2·need·not·have·the·same·size.·The·number·of·entries·that·are·copied·is·the·smaller\xd166 ·················zv1·and·zv2·need·not·have·the·same·size.·The·number·of·entries·that·are·copied·is·the·smaller\xd
167 ·················of·the·two·sizes.\xd167 ·················of·the·two·sizes.\xd
168 ·················Error·checking:·If·zv1·or·zv2·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd168 ·················Error·checking:·If·zv1·or·zv2·is·NULL,·an·error·message·is·printed·and·the·program·exits.\xd
169 ··············6······························ZV·:·DRAFT·January·7,·2024\xd169 ··············6·····························ZV·:·DRAFT·February·8,·2025\xd
170 ················8.·void·ZV_log10profile·(·ZV·*zv,·int·npts,·DV·*xDV,·DV·*yDV,·double·tausmall,\xd170 ················8.·void·ZV_log10profile·(·ZV·*zv,·int·npts,·DV·*xDV,·DV·*yDV,·double·tausmall,\xd
171 ··········································double·taubig,·int·*pnzero,·int·*pnsmall,·int·*pnbig·)·;\xd171 ··········································double·taubig,·int·*pnzero,·int·*pnsmall,·int·*pnbig·)·;\xd
172 ···················This·method·scans·the·entries·in·the·ZV·object·and·fills·xDV·and·yDV·with·data·that·allows\xd172 ···················This·method·scans·the·entries·in·the·ZV·object·and·fills·xDV·and·yDV·with·data·that·allows\xd
173 ···················a·simple·log10·distribution·plot.·Only·entries·whose·magnitudes·lie·in·the·range·[tausmall,\xd173 ···················a·simple·log10·distribution·plot.·Only·entries·whose·magnitudes·lie·in·the·range·[tausmall,\xd
174 ···················taubig]·contribute·to·the·distribution.·The·number·of·entries·whose·magnitudes·are·zero,\xd174 ···················taubig]·contribute·to·the·distribution.·The·number·of·entries·whose·magnitudes·are·zero,\xd
175 ···················smaller·than·tausmall,·or·larger·than·taubig·are·placed·into·pnzero,·*pnsmall·and·*pnbig,\xd175 ···················smaller·than·tausmall,·or·larger·than·taubig·are·placed·into·pnzero,·*pnsmall·and·*pnbig,\xd
176 ···················respectively.·On·return,·the·size·of·the·xDV·and·yDV·objects·is·npts.\xd176 ···················respectively.·On·return,·the·size·of·the·xDV·and·yDV·objects·is·npts.\xd
Offset 199, 15 lines modifiedOffset 199, 15 lines modified
199 ···················and·returns·the·value·returned·from·the·called·routine.\xd199 ···················and·returns·the·value·returned·from·the·called·routine.\xd
200 ···················Error·checking:·If·zv·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.zvf·(for·a·formatted·file)\xd200 ···················Error·checking:·If·zv·or·fn·are·NULL,·or·if·fn·is·not·of·the·form·*.zvf·(for·a·formatted·file)\xd
201 ···················or·*.zvb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd201 ···················or·*.zvb·(for·a·binary·file),·an·error·message·is·printed·and·the·method·returns·zero.\xd
202 ················5.·int·ZV_writeToFormattedFile·(·ZV·*zv,·FILE·*fp·)·;\xd202 ················5.·int·ZV_writeToFormattedFile·(·ZV·*zv,·FILE·*fp·)·;\xd
203 ···················This·method·writes·a·ZV·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the·data,\xd203 ···················This·method·writes·a·ZV·object·to·a·formatted·file.·If·there·are·no·errors·in·writing·the·data,\xd
204 ···················the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd204 ···················the·value·1·is·returned.·If·an·IO·error·is·encountered·from·fprintf,·zero·is·returned.\xd
205 ···················Error·checking:·If·zv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd205 ···················Error·checking:·If·zv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
206 ········································ZV·:·DRAFT··January·7,·2024······················7\xd206 ·······································ZV·:·DRAFT···February·8,·2025·····················7\xd
207 ···············6.·int·ZV_writeToBinaryFile·(·ZV·*zv,·FILE·*fp·)·;\xd207 ···············6.·int·ZV_writeToBinaryFile·(·ZV·*zv,·FILE·*fp·)·;\xd
208 ·················This·method·writes·a·ZV·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the·data,·the\xd208 ·················This·method·writes·a·ZV·object·to·a·binary·file.·If·there·are·no·errors·in·writing·the·data,·the\xd
209 ·················value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd209 ·················value·1·is·returned.·If·an·IO·error·is·encountered·from·fwrite,·zero·is·returned.\xd
210 ·················Error·checking:·If·zv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd210 ·················Error·checking:·If·zv·or·fp·are·NULL,·an·error·message·is·printed·and·zero·is·returned.\xd
211 ···············7.·int·ZV_writeForHumanEye·(·ZV·*zv,·FILE·*fp·)·;\xd211 ···············7.·int·ZV_writeForHumanEye·(·ZV·*zv,·FILE·*fp·)·;\xd
212 ·················This·method·writes·a·ZV·object·to·a·file·in·a·human·readable·format.·is·called·to·write·out\xd212 ·················This·method·writes·a·ZV·object·to·a·file·in·a·human·readable·format.·is·called·to·write·out\xd
213 ·················the·header·and·statistics.·The·entries·of·the·vector·then·follow·in·eighty·column·format·using\xd213 ·················the·header·and·statistics.·The·entries·of·the·vector·then·follow·in·eighty·column·format·using\xd
Offset 232, 15 lines modifiedOffset 232, 15 lines modified
232 ····················The·msglvl·parameter·determines·the·amount·of·output.·Use·msglvl·=·1·for·just\xd232 ····················The·msglvl·parameter·determines·the·amount·of·output.·Use·msglvl·=·1·for·just\xd
233 ·····················timing·output.\xd233 ·····················timing·output.\xd
234 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd234 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
235 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd235 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd
236 ·····················data.\xd236 ·····················data.\xd
237 ····················The·inFile·parameter·is·the·name·of·the·file·from·which·to·read·in·the·object.·inFile\xd237 ····················The·inFile·parameter·is·the·name·of·the·file·from·which·to·read·in·the·object.·inFile\xd
238 ·····················must·be·of·the·form·*.zvf·for·a·formatted·file·or·*.zvb·for·a·binary·file.\xd238 ·····················must·be·of·the·form·*.zvf·for·a·formatted·file·or·*.zvb·for·a·binary·file.\xd
239 ·······8···············ZV·:·DRAFT·January·7,·2024\xd239 ·······8···············ZV·:·DRAFT·February·8,·2025\xd
240 ············The·outFile·parameter·is·the·name·of·the·file·to·which·to·write·out·the·object.·If\xd240 ············The·outFile·parameter·is·the·name·of·the·file·to·which·to·write·out·the·object.·If\xd
241 ············outfile·is·of·the·form·*.zvf,·the·object·is·written·to·a·formatted·file.·If·outfile·is·of\xd241 ············outfile·is·of·the·form·*.zvf,·the·object·is·written·to·a·formatted·file.·If·outfile·is·of\xd
242 ············the·form·*.zvb,·the·object·is·written·to·a·binary·file.·When·outFile·is·not·"none",·the\xd242 ············the·form·*.zvb,·the·object·is·written·to·a·binary·file.·When·outFile·is·not·"none",·the\xd
243 ············object·is·written·to·the·file·in·a·human·readable·format.·When·outFile·is·"none",·the\xd243 ············object·is·written·to·the·file·in·a·human·readable·format.·When·outFile·is·"none",·the\xd
244 ············object·is·not·written·out.\xd244 ············object·is·not·written·out.\xd
245 ·······Index\xd245 ·······Index\xd
246 ·······ZV·clearData(),·2\xd246 ·······ZV·clearData(),·2\xd
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./usr/share/doc/spooles-doc/misc.ps.gz
56.6 KB
misc.ps
    
Offset 11, 15 lines modifiedOffset 11, 15 lines modified
11 %%EndComments11 %%EndComments
12 %%BeginDefaults12 %%BeginDefaults
13 %%ViewingOrientation:·1·0·0·113 %%ViewingOrientation:·1·0·0·1
14 %%EndDefaults14 %%EndDefaults
15 %DVIPSWebPage:·(www.radicaleye.com)15 %DVIPSWebPage:·(www.radicaleye.com)
16 %DVIPSCommandLine:·dvips·main·-o·misc.ps16 %DVIPSCommandLine:·dvips·main·-o·misc.ps
17 %DVIPSParameters:·dpi=60017 %DVIPSParameters:·dpi=600
18 %DVIPSSource:··TeX·output·2024.01.07:164518 %DVIPSSource:··TeX·output·2025.02.08:2316
19 %%BeginProcSet:·tex.pro·0·019 %%BeginProcSet:·tex.pro·0·0
20 %!20 %!
21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S21 /TeXDict·300·dict·def·TeXDict·begin/N{def}def/B{bind·def}N/S{exch}N/X{S
22 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·7222 N}B/A{dup}B/TR{translate}N/isls·false·N/vsize·11·72·mul·N/hsize·8.5·72
23 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·023 mul·N/landplus90{false}def/@rigin{isls{[0·landplus90{1·-1}{-1·1}ifelse·0
24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{24 0·0]concat}if·72·Resolution·div·72·VResolution·div·neg·scale·isls{
25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize25 landplus90{VResolution·72·div·vsize·mul·0·exch}{Resolution·-72·div·hsize
Offset 2251, 20 lines modifiedOffset 2251, 21 lines modified
2251 /UnderlineThickness·50·def2251 /UnderlineThickness·50·def
2252 end·readonly·def2252 end·readonly·def
2253 /Encoding·256·array2253 /Encoding·256·array
2254 0·1·255·{1·index·exch·/.notdef·put}·for2254 0·1·255·{1·index·exch·/.notdef·put}·for
2255 dup·44·/comma·put2255 dup·44·/comma·put
2256 dup·48·/zero·put2256 dup·48·/zero·put
2257 dup·50·/two·put2257 dup·50·/two·put
2258 dup·52·/four·put 
2259 dup·55·/seven·put2258 dup·53·/five·put
 2259 dup·56·/eight·put
2260 dup·58·/colon·put2260 dup·58·/colon·put
2261 dup·74·/J·put2261 dup·70·/F·put
2262 dup·97·/a·put2262 dup·97·/a·put
 2263 dup·98·/b·put
2263 dup·110·/n·put2264 dup·101·/e·put
2264 dup·114·/r·put2265 dup·114·/r·put
2265 dup·117·/u·put2266 dup·117·/u·put
2266 dup·121·/y·put2267 dup·121·/y·put
2267 readonly·def2268 readonly·def
2268 currentdict·end2269 currentdict·end
2269 currentfile·eexec2270 currentfile·eexec
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Offset 17, 15 lines modifiedOffset 17, 15 lines modified
17 ··················The·method·calls·itself·recursively.·To·find·the·permutation·for·an·n1·x·n2·x·n3·grid,·call\xd17 ··················The·method·calls·itself·recursively.·To·find·the·permutation·for·an·n1·x·n2·x·n3·grid,·call\xd
18 ··················mkNDperm(n1,·n2,·n3,·newToOld,·0,·n1-1,·0,·n2-1,·0,·n3-1)·;\xd18 ··················mkNDperm(n1,·n2,·n3,·newToOld,·0,·n1-1,·0,·n2-1,·0,·n3-1)·;\xd
19 ··················from·a·driver·program.\xd19 ··················from·a·driver·program.\xd
20 ··················Error·checking:·If·n1,·n2·or·n3·are·less·than·or·equal·to·zero,·or·if·newToOld·is·NULL,·or·if\xd20 ··················Error·checking:·If·n1,·n2·or·n3·are·less·than·or·equal·to·zero,·or·if·newToOld·is·NULL,·or·if\xd
21 ··················west,·south·or·bottom·are·less·than·or·equal·to·zero,·of·if·east··n1,·of·if·north··n2,·of·if\xd21 ··················west,·south·or·bottom·are·less·than·or·equal·to·zero,·of·if·east··n1,·of·if·north··n2,·of·if\xd
22 ··················top··n3,·an·error·message·is·printed·and·the·program·exits.\xd22 ··················top··n3,·an·error·message·is·printed·and·the·program·exits.\xd
23 ·······················································1\xd23 ·······················································1\xd
24 ·······2···············Misc·:·DRAFT·January·7,·2024\xd24 ·······2··············Misc·:·DRAFT·February·8,·2025\xd
25 ········2.·void·mkNDperm2·(·int·n1,·int·n2,·int·n3,·int·newToOld[],·int·west,\xd25 ········2.·void·mkNDperm2·(·int·n1,·int·n2,·int·n3,·int·newToOld[],·int·west,\xd
26 ···················int·east,·int·south,·int·north,·int·bottom,·int·top·)·;\xd26 ···················int·east,·int·south,·int·north,·int·bottom,·int·top·)·;\xd
27 ··········This·method·this·vector·fills·a·permutation·vector·with·the·nested·dissection·new-to-old\xd27 ··········This·method·this·vector·fills·a·permutation·vector·with·the·nested·dissection·new-to-old\xd
28 ··········ordering·of·the·vertices·for·the·subgrid·defined·by·nodes·whose·coordinates·lie·in\xd28 ··········ordering·of·the·vertices·for·the·subgrid·defined·by·nodes·whose·coordinates·lie·in\xd
29 ··········[west,·east]·x·[south,·north]·x·[bottom,·top].\xd29 ··········[west,·east]·x·[south,·north]·x·[bottom,·top].\xd
30 ··········There·is·one·important·difference·between·this·method·and·mkNDperm()·above;·this·method\xd30 ··········There·is·one·important·difference·between·this·method·and·mkNDperm()·above;·this·method\xd
31 ··········finds·double-wide·separators,·necessary·for·an·operator·with·more·than·nearest·neighbor·grid\xd31 ··········finds·double-wide·separators,·necessary·for·an·operator·with·more·than·nearest·neighbor·grid\xd
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58 ··········tains·a·dsizes1[q1]·x·dsizes2[q2]·x·disizes3[q3]·subgrid·of·points.\xd58 ··········tains·a·dsizes1[q1]·x·dsizes2[q2]·x·disizes3[q3]·subgrid·of·points.\xd
59 ··········Error·checking:·If·n1,·n2·or·n3·are·less·than·or·equal·to·zero,·or·if·p1,·p2·or·p3·are·less·than·or\xd59 ··········Error·checking:·If·n1,·n2·or·n3·are·less·than·or·equal·to·zero,·or·if·p1,·p2·or·p3·are·less·than·or\xd
60 ··········equal·to·zero,·or·if·2p1−1·>·n1,·or·if·2p2−1·>·n2,·or·if·2p3−1·>·n3,·or·if·oldToNew·is·NULL,\xd60 ··········equal·to·zero,·or·if·2p1−1·>·n1,·or·if·2p2−1·>·n2,·or·if·2p3−1·>·n3,·or·if·oldToNew·is·NULL,\xd
61 ··········or·if·dsizes1[],·disizes2[]·and·dsizes3[]·are·not·NULL·but·have·invalid·entries·(all·entries\xd61 ··········or·if·dsizes1[],·disizes2[]·and·dsizes3[]·are·not·NULL·but·have·invalid·entries·(all·entries\xd
62 ··········must·be·positive,·entries·in·dsizes1[]·must·sum·to·n1·-·p1·+·1,·entries·in·dsizes2[]·must\xd62 ··········must·be·positive,·entries·in·dsizes1[]·must·sum·to·n1·-·p1·+·1,·entries·in·dsizes2[]·must\xd
63 ··········sum·to·n2·-·p2·+·1,·and·entries·in·dsizes3[]·must·sum·to·n3·-·p3·+·1,·an·error·message\xd63 ··········sum·to·n2·-·p2·+·1,·and·entries·in·dsizes3[]·must·sum·to·n3·-·p3·+·1,·an·error·message\xd
64 ··········is·printed·and·the·program·exits.\xd64 ··········is·printed·and·the·program·exits.\xd
65 ······································Misc·:·DRAFT···January·7,·2024····················3\xd65 ······································Misc·:·DRAFT··February·8,·2025····················3\xd
66 ··············5.·void·fp2DGrid·(·int·n1,·int·n2,·int·ivec[],·FILE·*fp·)·;\xd66 ··············5.·void·fp2DGrid·(·int·n1,·int·n2,·int·ivec[],·FILE·*fp·)·;\xd
67 ·················This·method·writes·the·ivec[]·vector·onto·an·n1·x·n2·grid·to·file·fp.·This·is·useful·to\xd67 ·················This·method·writes·the·ivec[]·vector·onto·an·n1·x·n2·grid·to·file·fp.·This·is·useful·to\xd
68 ·················visualize·an·ordering·or·a·metric·on·a·grid.\xd68 ·················visualize·an·ordering·or·a·metric·on·a·grid.\xd
69 ·················Error·checking:·If·n1·or·n2·are·less·than·or·equal·to·zero,·or·if·ivec·or·fp·are·NULL,·an·error\xd69 ·················Error·checking:·If·n1·or·n2·are·less·than·or·equal·to·zero,·or·if·ivec·or·fp·are·NULL,·an·error\xd
70 ·················message·is·printed·and·the·program·exits.\xd70 ·················message·is·printed·and·the·program·exits.\xd
71 ··············6.·void·fp3DGrid·(·int·n1,·int·n2,·int·n3,·int·ivec[],·FILE·*fp·)·;\xd71 ··············6.·void·fp3DGrid·(·int·n1,·int·n2,·int·n3,·int·ivec[],·FILE·*fp·)·;\xd
72 ·················This·method·writes·the·ivec[]·vector·onto·an·n1·x·n2·x·n3·grid·to·file·fp.·This·is·useful\xd72 ·················This·method·writes·the·ivec[]·vector·onto·an·n1·x·n2·x·n3·grid·to·file·fp.·This·is·useful\xd
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96 ·················This·method·returns·a·front·tree·ETree·object·for·a·multiple·minimum·degree·ordering·of\xd96 ·················This·method·returns·a·front·tree·ETree·object·for·a·multiple·minimum·degree·ordering·of\xd
97 ·················the·graph·graph.·The·seed·parameter·is·a·random·number·seed.·The·msglvl·and·msgFile\xd97 ·················the·graph·graph.·The·seed·parameter·is·a·random·number·seed.·The·msglvl·and·msgFile\xd
98 ·················parameters·govern·the·diagnostics·output.·Use·msglvl·=·0·for·no·output,·msglvl·=·1·for\xd98 ·················parameters·govern·the·diagnostics·output.·Use·msglvl·=·0·for·no·output,·msglvl·=·1·for\xd
99 ·················timings·and·scalar·statistics,·and·use·msglvl·>·1·with·care,·for·it·can·generate·huge·amounts\xd99 ·················timings·and·scalar·statistics,·and·use·msglvl·>·1·with·care,·for·it·can·generate·huge·amounts\xd
100 ·················of·output.\xd100 ·················of·output.\xd
101 ·················Error·checking:·If·graph·is·NULL,·or·if·msglvl·>·0·and·msgFile·is·NULL,·an·error·message·is\xd101 ·················Error·checking:·If·graph·is·NULL,·or·if·msglvl·>·0·and·msgFile·is·NULL,·an·error·message·is\xd
102 ·················printed·and·the·program·exits.\xd102 ·················printed·and·the·program·exits.\xd
103 ··············4·····························Misc·:·DRAFT·January·7,·2024\xd103 ··············4····························Misc·:·DRAFT·February·8,·2025\xd
104 ················2.·ETree·*·orderViaND·(·Graph·*graph,·int·maxdomainsize,·int·seed,\xd104 ················2.·ETree·*·orderViaND·(·Graph·*graph,·int·maxdomainsize,·int·seed,\xd
105 ········································int·msglvl,·FILE·*msgFile·)·;\xd105 ········································int·msglvl,·FILE·*msgFile·)·;\xd
106 ··················This·method·returns·a·front·tree·ETree·object·for·a·nested·dissection·ordering·of·the·graph\xd106 ··················This·method·returns·a·front·tree·ETree·object·for·a·nested·dissection·ordering·of·the·graph\xd
107 ··················graph.·If·a·subgraph·has·more·vertices·than·the·maxdomainsize·parameter,·it·is·split.·The\xd107 ··················graph.·If·a·subgraph·has·more·vertices·than·the·maxdomainsize·parameter,·it·is·split.·The\xd
108 ··················seed·parameter·is·a·random·number·seed.·The·msglvl·and·msgFile·parameters·govern\xd108 ··················seed·parameter·is·a·random·number·seed.·The·msglvl·and·msgFile·parameters·govern\xd
109 ··················the·diagnostics·output.·Use·msglvl·=·0·for·no·output,·msglvl·=·1·for·timings·and·scalar\xd109 ··················the·diagnostics·output.·Use·msglvl·=·0·for·no·output,·msglvl·=·1·for·timings·and·scalar\xd
110 ··················statistics,·and·use·msglvl·>·1·with·care,·for·it·can·generate·huge·amounts·of·output.\xd110 ··················statistics,·and·use·msglvl·>·1·with·care,·for·it·can·generate·huge·amounts·of·output.\xd
Offset 136, 15 lines modifiedOffset 136, 15 lines modified
136 ·······································double·linewidth2,·double·radius,·char·*epsFileName,\xd136 ·······································double·linewidth2,·double·radius,·char·*epsFileName,\xd
137 ·······································int·msglvl,·FILE·*msgFile·)·;\xd137 ·······································int·msglvl,·FILE·*msgFile·)·;\xd
138 ··················This·method·is·used·to·create·an·EPS·(Encapsulated·Postscript)·file·that·contains·a·picture\xd138 ··················This·method·is·used·to·create·an·EPS·(Encapsulated·Postscript)·file·that·contains·a·picture\xd
139 ··················of·a·graph·in·two·dimensions.·We·use·this·to·visualize·separators·and·domain·decompositions,\xd139 ··················of·a·graph·in·two·dimensions.·We·use·this·to·visualize·separators·and·domain·decompositions,\xd
140 ··················mostly·of·regular·grids·and·triangulations·of·a·planar·region.\xd140 ··················mostly·of·regular·grids·and·triangulations·of·a·planar·region.\xd
141 ··················The·graph·object·defines·the·connectivity·of·the·vertices.·The·coords·object·defines·the\xd141 ··················The·graph·object·defines·the·connectivity·of·the·vertices.·The·coords·object·defines·the\xd
142 ··················locations·of·the·vertices.·The·tagsIV·object·is·used·to·define·whether·or·not·an·edge·is\xd142 ··················locations·of·the·vertices.·The·tagsIV·object·is·used·to·define·whether·or·not·an·edge·is\xd
143 ······································Misc·:·DRAFT···January·7,·2024····················5\xd143 ······································Misc·:·DRAFT··February·8,·2025····················5\xd
144 ·················drawn·between·two·vertices·adjacent·in·the·graph.·When·tagsIV·is·not·NULL,·if·there·is·an\xd144 ·················drawn·between·two·vertices·adjacent·in·the·graph.·When·tagsIV·is·not·NULL,·if·there·is·an\xd
145 ·················edge·(u,v)·in·the·graph·and·tags[u]·=·tags[v],·then·the·edge·with·width·linewidth1·is\xd145 ·················edge·(u,v)·in·the·graph·and·tags[u]·=·tags[v],·then·the·edge·with·width·linewidth1·is\xd
146 ·················drawn.·For·edges·(u,v)·in·the·graph·and·tags[u]·!=·tags[v],·then·the·edge·with·width\xd146 ·················drawn.·For·edges·(u,v)·in·the·graph·and·tags[u]·!=·tags[v],·then·the·edge·with·width\xd
147 ·················linewidth2is·drawn,·assuming·linewidth2>·0.·If·tagsIV·is·NULL,·than·all·edges·are·drawn\xd147 ·················linewidth2is·drawn,·assuming·linewidth2>·0.·If·tagsIV·is·NULL,·than·all·edges·are·drawn\xd
148 ·················with·width·linewidth1.·Each·vertex·is·draw·with·a·filled·circle·with·radius·radius.\xd148 ·················with·width·linewidth1.·Each·vertex·is·draw·with·a·filled·circle·with·radius·radius.\xd
149 ·················The·graph·and·its·Coords·object·occupy·a·certain·area·in·2-D·space.·We·try·to·plot·the\xd149 ·················The·graph·and·its·Coords·object·occupy·a·certain·area·in·2-D·space.·We·try·to·plot·the\xd
150 ·················graph·inside·the·area·defined·by·the·rect[]·array·in·such·a·manner·that·the·relative·scales\xd150 ·················graph·inside·the·area·defined·by·the·rect[]·array·in·such·a·manner·that·the·relative·scales\xd
Offset 177, 15 lines modifiedOffset 177, 15 lines modified
177 ·······························InpMtx·**pmtxA,·DenseMtx·**pmtxX,·DenseMtx·**pmtxB·)·;\xd177 ·······························InpMtx·**pmtxA,·DenseMtx·**pmtxX,·DenseMtx·**pmtxB·)·;\xd
178 ·················This·method·creates·a·linear·system·AX·=·B·for·a·natural·factor·formulation·of·a·n1×n2×n3\xd178 ·················This·method·creates·a·linear·system·AX·=·B·for·a·natural·factor·formulation·of·a·n1×n2×n3\xd
179 ·················grid.·If·n1,·n2·and·n3·are·all·greater·than·1,·the·grid·is·formed·of·linear·hexahedral·elements\xd179 ·················grid.·If·n1,·n2·and·n3·are·all·greater·than·1,·the·grid·is·formed·of·linear·hexahedral·elements\xd
180 ·················andthematrixAhas8*n1*n2*n3rows.·Ifoneofn1,n2andn3isequalto1,thegridisformed\xd180 ·················andthematrixAhas8*n1*n2*n3rows.·Ifoneofn1,n2andn3isequalto1,thegridisformed\xd
181 ·················of·linear·quadrilateral·elements·and·the·matrix·A·has·4*n1*n2*n3·rows.·The·entries·in·A·and\xd181 ·················of·linear·quadrilateral·elements·and·the·matrix·A·has·4*n1*n2*n3·rows.·The·entries·in·A·and\xd
182 ·················X·are·random·numbers,·B·is·computed·as·the·product·of·A·with·X.·A·can·be·real·(type·=\xd182 ·················X·are·random·numbers,·B·is·computed·as·the·product·of·A·with·X.·A·can·be·real·(type·=\xd
183 ·················1)·or·complex·(type·=·2).·The·number·of·columns·of·X·is·given·by·nrhs.·The·linear·system\xd183 ·················1)·or·complex·(type·=·2).·The·number·of·columns·of·X·is·given·by·nrhs.·The·linear·system\xd
184 ···········6·······················Misc·:·DRAFT·January·7,·2024\xd184 ···········6·······················Misc·:·DRAFT·February·8,·2025\xd
185 ···············is·ordered·using·theoretical·nested·dissection,·and·the·front·tree·is·transformed·using·the\xd185 ···············is·ordered·using·theoretical·nested·dissection,·and·the·front·tree·is·transformed·using·the\xd
186 ···············maxzeros·and·maxsize·parameters.·The·addresses·of·the·front·tree,·symbolic·factorization,\xd186 ···············maxzeros·and·maxsize·parameters.·The·addresses·of·the·front·tree,·symbolic·factorization,\xd
187 ···············and·three·matrix·objects·are·returned·in·the·last·five·arguments·of·the·calling·sequence.\xd187 ···············and·three·matrix·objects·are·returned·in·the·last·five·arguments·of·the·calling·sequence.\xd
188 ···············Error·checking:·None·presently.\xd188 ···············Error·checking:·None·presently.\xd
189 ···········1.2··Driver·programs·found·in·the·Misc·directory\xd189 ···········1.2··Driver·programs·found·in·the·Misc·directory\xd
190 ···········This·section·contains·brief·descriptions·of·the·driver·programs.\xd190 ···········This·section·contains·brief·descriptions·of·the·driver·programs.\xd
191 ·············1.·testNDperm·msglvl·msgFile·n1·n2·n3·outPermFile\xd191 ·············1.·testNDperm·msglvl·msgFile·n1·n2·n3·outPermFile\xd
Offset 215, 15 lines modifiedOffset 215, 15 lines modified
215 ···················*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd215 ···················*.graphfor*.graphb.·TheGraphobjectisreadfromthefileviatheGraph·readFromFile()\xd
216 ···················method.\xd216 ···················method.\xd
217 ··················The·seed·parameter·is·a·random·number·seed.\xd217 ··················The·seed·parameter·is·a·random·number·seed.\xd
218 ··················The·ETreeFile·parameter·is·the·output·file·for·the·ETree·object.·If·ETreeFile·is·none\xd218 ··················The·ETreeFile·parameter·is·the·output·file·for·the·ETree·object.·If·ETreeFile·is·none\xd
219 ···················then·the·ETree·object·is·not·written·to·a·file.·Otherwise,·the·ETree·writeToFile()\xd219 ···················then·the·ETree·object·is·not·written·to·a·file.·Otherwise,·the·ETree·writeToFile()\xd
220 ···················method·is·called·to·write·the·object·to·a·formatted·file·(if·ETreeFile·is·of·the·form\xd220 ···················method·is·called·to·write·the·object·to·a·formatted·file·(if·ETreeFile·is·of·the·form\xd
221 ···················*.etreef),·or·a·binary·file·(if·ETreeFile·is·of·the·form·*.etreeb).\xd221 ···················*.etreef),·or·a·binary·file·(if·ETreeFile·is·of·the·form·*.etreeb).\xd
222 ······································Misc·:·DRAFT···January·7,·2024····················7\xd222 ······································Misc·:·DRAFT··February·8,·2025····················7\xd
223 ··············3.·testOrderViaND·msglvl·msgFile·GraphFile·maxdomainsize·seed·ETreeFile\xd223 ··············3.·testOrderViaND·msglvl·msgFile·GraphFile·maxdomainsize·seed·ETreeFile\xd
224 ·················This·program·reads·in·a·Graph·object·from·a·file·and·computes·a·generalized·nested·dissection\xd224 ·················This·program·reads·in·a·Graph·object·from·a·file·and·computes·a·generalized·nested·dissection\xd
225 ·················ordering·of·the·graph.\xd225 ·················ordering·of·the·graph.\xd
226 ····················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd226 ····················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd
227 ·····················the·Perm·object·is·written·to·the·output·file.\xd227 ·····················the·Perm·object·is·written·to·the·output·file.\xd
228 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd228 ····················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
229 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd229 ·····················message·file·is·stdout,·otherwise·a·file·is·opened·with·append·status·to·receive·any·output\xd
Offset 254, 15 lines modifiedOffset 254, 15 lines modified
254 ····················The·seed·parameter·is·a·random·number·seed.\xd254 ····················The·seed·parameter·is·a·random·number·seed.\xd
255 ····················The·ETreeFile·parameter·is·the·output·file·for·the·ETree·object.·If·ETreeFile·is·none\xd255 ····················The·ETreeFile·parameter·is·the·output·file·for·the·ETree·object.·If·ETreeFile·is·none\xd
256 ·····················then·the·ETree·object·is·not·written·to·a·file.·Otherwise,·the·ETree·writeToFile()\xd256 ·····················then·the·ETree·object·is·not·written·to·a·file.·Otherwise,·the·ETree·writeToFile()\xd
257 ·····················method·is·called·to·write·the·object·to·a·formatted·file·(if·ETreeFile·is·of·the·form\xd257 ·····················method·is·called·to·write·the·object·to·a·formatted·file·(if·ETreeFile·is·of·the·form\xd
258 ·····················*.etreef),·or·a·binary·file·(if·ETreeFile·is·of·the·form·*.etreeb).\xd258 ·····················*.etreef),·or·a·binary·file·(if·ETreeFile·is·of·the·form·*.etreeb).\xd
259 ··············5.·drawGraph·msglvl·msgFile·inGraphFile·inCoordsFile·inTagsIVfile\xd259 ··············5.·drawGraph·msglvl·msgFile·inGraphFile·inCoordsFile·inTagsIVfile\xd
260 ··························outEPSfile·linewidth1·linewidth2·bbox[4]·rect[4]·radius\xd260 ··························outEPSfile·linewidth1·linewidth2·bbox[4]·rect[4]·radius\xd
261 ··············8·······························Misc·:·DRAFT·January·7,·2024\xd261 ··············8······························Misc·:·DRAFT·February·8,·2025\xd
262 ···················This·driver·program·generates·a·Encapsulated·Postscript·file·outEPSfile·of·a·2-D·graph\xd262 ···················This·driver·program·generates·a·Encapsulated·Postscript·file·outEPSfile·of·a·2-D·graph\xd
263 ···················using·a·Graph·object,·a·Coords·object·and·a·tags·IV·object·that·contains·the·component·ids\xd263 ···················using·a·Graph·object,·a·Coords·object·and·a·tags·IV·object·that·contains·the·component·ids\xd
264 ···················of·the·vertices.\xd264 ···················of·the·vertices.\xd
265 ···················See·the·doDraw·script·file·in·this·directory·for·an·example·calling·sequence.\xd265 ···················See·the·doDraw·script·file·in·this·directory·for·an·example·calling·sequence.\xd
266 ·······················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd266 ·······················The·msglvl·parameter·determines·the·amount·of·output··taking·msglvl·>=·3·means\xd
267 ························that·all·objects·are·written·to·the·output·file.\xd267 ························that·all·objects·are·written·to·the·output·file.\xd
268 ·······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd268 ·······················The·msgFile·parameter·determines·the·message·file··if·msgFile·is·stdout,·then·the\xd
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293 ···················See·Figure·1.1·for·a·plot·of·the·graph·of·R2D100,·a·randomly·triangulated·grid·with·100\xd293 ···················See·Figure·1.1·for·a·plot·of·the·graph·of·R2D100,·a·randomly·triangulated·grid·with·100\xd
294 ···················vertices·with·linewidth1·=·3.·Figure·1.2·illustrates·a·domain·decomposition·obtained·from\xd294 ···················vertices·with·linewidth1·=·3.·Figure·1.2·illustrates·a·domain·decomposition·obtained·from\xd
295 ···················the·fishnet·algorithm·of·Chapter·??·with·linewidth1·=·3·and·linewidth2·=·0.1.\xd295 ···················the·fishnet·algorithm·of·Chapter·??·with·linewidth1·=·3·and·linewidth2·=·0.1.\xd
296 ·················6.·testSemi·msglvl·msgFile·GraphFile·ETreeFile·mapFile\xd296 ·················6.·testSemi·msglvl·msgFile·GraphFile·ETreeFile·mapFile\xd
297 ···················This·program·is·used·to·compute·the·effect·of·using·a·semi-implicit·factorization·to·solve\xd297 ···················This·program·is·used·to·compute·the·effect·of·using·a·semi-implicit·factorization·to·solve\xd
298 ·········································AX="·A0,0·A0,1·#"·X0·#="·B0·#=B.\xd298 ·········································AX="·A0,0·A0,1·#"·X0·#="·B0·#=B.\xd
299 ·················································A1,0··A1,1····X1········B1\xd299 ·················································A1,0··A1,1····X1········B1\xd
300 ······································Misc·:·DRAFT···January·7,·2024····················9\xd300 ······································Misc·:·DRAFT··February·8,·2025····················9\xd
301 ··········································Figure·1.1:·R2D100\xd301 ··········································Figure·1.1:·R2D100\xd
302 ··············10····························Misc·:·DRAFT·January·7,·2024\xd302 ··············10····························Misc·:·DRAFT·February·8,·2025\xd
303 ································Figure·1.2:·R2D100:·fishnet·domain·decomposition\xd303 ································Figure·1.2:·R2D100:·fishnet·domain·decomposition\xd
304 ································3····3·····3····3····3·····3····3·····0····0·····5\xd304 ································3····3·····3····3·····3····3·····3····0·····0·····5\xd
305 ·········································3\xd305 ·········································3\xd
306 ································3················3····3·······0··················0\xd306 ································3·················3····3·······0··················0\xd
307 ·······················································3·3\xd307 ·······················································3·3\xd
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