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/srv/reproducible-results/rbuild-debian/tmp.Bk0COndCjl/b1/giac_1.4.9.69+dfsg1-2_arm64.changes vs.
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1276 drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/doc/fr/1276 drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/doc/fr/
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1441 -rw-r--r--···0·root·········(0)·root·········(0)····12949·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/prog/conformal.xws1441 -rw-r--r--···0·root·········(0)·root·········(0)····12949·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/prog/conformal.xws
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1444 drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/1444 drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/
1445 -rw-r--r--···0·root·········(0)·root·········(0)·····8807·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/pagerank.xws1445 -rw-r--r--···0·root·········(0)·root·········(0)·····8807·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/pagerank.xws
1446 -rw-r--r--···0·root·········(0)·root·········(0)····76242·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/spec_proie.xws1446 -rw-r--r--···0·root·········(0)·root·········(0)····76242·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/spec_proie.xws
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1449 -rw-r--r--···0·root·········(0)·root·········(0)·····6577·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Makefile.am1449 -rw-r--r--···0·root·········(0)·root·········(0)·····6577·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Makefile.am
1450 -rw-r--r--···0·root·········(0)·root·········(0)····23881·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Makefile.in1450 -rw-r--r--···0·root·········(0)·root·········(0)····23881·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Makefile.in
1451 drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/1451 drwxr-xr-x···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/
1452 -rw-r--r--···0·root·········(0)·root·········(0)······726·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/codage.cas1452 -rw-r--r--···0·root·········(0)·root·········(0)······726·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/codage.cas
1453 -rw-r--r--···0·root·········(0)·root·········(0)······631·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/estpremier1453 -rw-r--r--···0·root·········(0)·root·········(0)······631·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/estpremier
1454 -rw-r--r--···0·root·········(0)·root·········(0)······385·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/horner1454 -rw-r--r--···0·root·········(0)·root·········(0)······385·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/horner
1455 -rw-r--r--···0·root·········(0)·root·········(0)·····1352·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/inpg.cas1455 -rw-r--r--···0·root·········(0)·root·········(0)·····1352·2018-09-06·04:45:13.000000·./usr/share/giac/examples/arit/inpg.cas
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1203 (sum(m)/20,-1,0.1);·plot(normald(0,0.57),-2..2)1203 (sum(m)/20,-1,0.1);·plot(normald(0,0.57),-2..2)
  
1204 \xc241204 \xc24
  
1205 CHAPITRE·3.·CALCULER·SUR·ORDINATEUR1205 CHAPITRE·3.·CALCULER·SUR·ORDINATEUR
  
1206 y1206 y
1207 0.8 
1208 0.71207 0.7
1209 0.61208 0.6
1210 0.51209 0.5
1211 0.41210 0.4
1212 0.31211 0.3
1213 0.21212 0.2
1214 0.11213 0.1
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2380 Il·peut·être·interessant·de·tester·ces·exercices·en·parallèle·avec·Xcas·et·des2379 Il·peut·être·interessant·de·tester·ces·exercices·en·parallèle·avec·Xcas·et·des
2381 calculatrices·formelles....2380 calculatrices·formelles....
2382 1.·À·quelle·vitesse·votre·logiciel·multiplie-t-il·des·grands·entiers·(en·fonction2381 1.·À·quelle·vitesse·votre·logiciel·multiplie-t-il·des·grands·entiers·(en·fonction
2383 du·nombre·de·chiffres)·?·On·pourra·tester·le·temps·de·calcul·du·produit·de2382 du·nombre·de·chiffres)·?·On·pourra·tester·le·temps·de·calcul·du·produit·de
2384 a(a·+·1)·où·a·=·10000!,·a·=·15000!,·etc.·.·Même·question·pour·des·polynômes·en·une·variable·(à·générer·par·exemple·avec·symb2poly(randpoly(n))2383 a(a·+·1)·où·a·=·10000!,·a·=·15000!,·etc.·.·Même·question·pour·des·polynômes·en·une·variable·(à·générer·par·exemple·avec·symb2poly(randpoly(n))
2385 ou·avec·poly1[op(ranm(.))]).2384 ou·avec·poly1[op(ranm(.))]).
2386 n:=100;·p:=symb2poly(randpoly(n)):;·time(p*p);2385 n:=100;·p:=symb2poly(randpoly(n)):;·time(p*p);
2387 100,·Done,·[7e·−·05,·6.8650556e·−·05]2386 100,·Done,·[7e·−·05,·7.476992e·−·05]
2388 2.·Comparer·le·temps·de·calcul·de·an·(mod·m)·par·la·fonction·powmod·et2387 2.·Comparer·le·temps·de·calcul·de·an·(mod·m)·par·la·fonction·powmod·et
2389 la·méthode·prendre·le·reste·modulo·m·après·avoir·calculé·an·.2388 la·méthode·prendre·le·reste·modulo·m·après·avoir·calculé·an·.
2390 a:=123;·n:=456;·m:=789;·time(powmod(a,n,m2389 a:=123;·n:=456;·m:=789;·time(powmod(a,n,m
2391 ));·time(irem(a^n,m));2390 ));·time(irem(a^n,m));
2392 123,·456,·789,·[1.7e−06,·2.31793076e−06],·[1.3e−05,·1.52425184e−05]2391 123,·456,·789,·[1.8e·−·06,·2.2245316e·−·06],·[1.3e·−·05,·1.2659866e·−·05]
2393 Programmez·la·méthode·rapide·et·la·méthode·lente.·Refaites·la·comparaison.·Pour·la·méthode·rapide,·programmer·aussi·la·version·itérative·utilisant2392 Programmez·la·méthode·rapide·et·la·méthode·lente.·Refaites·la·comparaison.·Pour·la·méthode·rapide,·programmer·aussi·la·version·itérative·utilisant
2394 la·décomposition·en·base·2·de·l’exposant·:·on·stocke·dans·une·variable2393 la·décomposition·en·base·2·de·l’exposant·:·on·stocke·dans·une·variable
2395 02394 0
2396 12395 1
2397 k2396 k
2398 locale·b·les·puissances·successives·a2·(mod·m),·a2·(mod·m),·...,·a22397 locale·b·les·puissances·successives·a2·(mod·m),·a2·(mod·m),·...,·a2
2399 (mod·m),·...,·on·forme·an·(mod·n)·en·prenant·le·produit·modulo·m·de2398 (mod·m),·...,·on·forme·an·(mod·n)·en·prenant·le·produit·modulo·m·de
Offset 2424, 15 lines modifiedOffset 2423, 15 lines modified
2424 (c)·l’inverse·modulaire·en·ne·calculant·que·ce·qui·est·nécessaire·dans·l’algorithme·de·Bézout2423 (c)·l’inverse·modulaire·en·ne·calculant·que·ce·qui·est·nécessaire·dans·l’algorithme·de·Bézout
2425 (d)·les·restes·chinois2424 (d)·les·restes·chinois
2426 6.·Construire·un·corps·fini·de·cardinal·128·(GF),·puis·factoriser·le·polynôme2425 6.·Construire·un·corps·fini·de·cardinal·128·(GF),·puis·factoriser·le·polynôme
2427 x2·−·y·où·y·est·un·élément·quelconque·du·corps·fini.·Comparer·avec·la2426 x2·−·y·où·y·est·un·élément·quelconque·du·corps·fini.·Comparer·avec·la
2428 √2427 √
2429 valeur·de·y.2428 valeur·de·y.
2430 GF(2,7);2429 GF(2,7);
2431 GF·(2,·k·7·+·k·6·+·k·5·+·k·4·+·1,·[k,·K,·g],·undef·)2430 GF·(2,·k·7·+·k·6·+·k·4·+·k·2·+·1,·[k,·K,·g],·undef·)
2432 7.·Utiliser·la·commande·type·ou·whattype·ou·équivalent·pour·déterminer2431 7.·Utiliser·la·commande·type·ou·whattype·ou·équivalent·pour·déterminer
2433 la·représentation·utilisée·par·le·logiciel·pour·représenter·une·fraction,·un2432 la·représentation·utilisée·par·le·logiciel·pour·représenter·une·fraction,·un
2434 nombre·complexe,·un·flottant·en·précision·machine,·un·flottant·avec·1002433 nombre·complexe,·un·flottant·en·précision·machine,·un·flottant·avec·100
2435 décimales,·la·variable·x,·l’expression·sin(x)·+·2,·la·fonction·x->sin(x),2434 décimales,·la·variable·x,·l’expression·sin(x)·+·2,·la·fonction·x->sin(x),
2436 une·liste,·une·séquence,·un·vecteur,·une·matrice.·Essayez·d’accéder·aux2435 une·liste,·une·séquence,·un·vecteur,·une·matrice.·Essayez·d’accéder·aux
2437 parties·de·l’objet·pour·les·objets·composites·(en·utilisant·op·par·exemple).2436 parties·de·l’objet·pour·les·objets·composites·(en·utilisant·op·par·exemple).
2438 a:=sin(x)+2;·type(a);·a[0];·a[1]2437 a:=sin(x)+2;·type(a);·a[0];·a[1]
Offset 2515, 15 lines modifiedOffset 2514, 15 lines modified
2515 CHAPITRE·3.·CALCULER·SUR·ORDINATEUR2514 CHAPITRE·3.·CALCULER·SUR·ORDINATEUR
2516 14.·Que·se·passe-t-il·si·on·essaie·d’appliquer·l’algorithme·de·la·puissance·rapide·pour·calculer·(x·+·y·+·z·+·1)k·par·exemple·pour·k·=·64·?·Calculer·le2515 14.·Que·se·passe-t-il·si·on·essaie·d’appliquer·l’algorithme·de·la·puissance·rapide·pour·calculer·(x·+·y·+·z·+·1)k·par·exemple·pour·k·=·64·?·Calculer·le
2517 nombre·de·termes·dans·le·développement·de·(x·+·y·+·z·+·1)n·et·expliquez.2516 nombre·de·termes·dans·le·développement·de·(x·+·y·+·z·+·1)n·et·expliquez.
  
2518 time(normal((x+y+z+1)^30));·a:=normal((x+y+z+12517 time(normal((x+y+z+1)^30));·a:=normal((x+y+z+1
2519 )^15):;·time(normal(a*a));2518 )^15):;·time(normal(a*a));
  
2520 [0.016,·0.0216583165],·Done,·[0.034,·0.0342462662]2519 [0.017,·0.01659081],·Done,·[0.034,·0.033012168]
  
2521 15.·Programmation·de·la·méthode·de·Horner2520 15.·Programmation·de·la·méthode·de·Horner
2522 Il·s’agit·d’évaluer·efficacement·un·polynôme2521 Il·s’agit·d’évaluer·efficacement·un·polynôme
  
2523 P·(X)·=·an·X·n·+·...·+·a02522 P·(X)·=·an·X·n·+·...·+·a0
  
2524 en·un·point.·On·pose·b0·=·P·(α)·et·on·écrit·:2523 en·un·point.·On·pose·b0·=·P·(α)·et·on·écrit·:
Offset 4898, 21 lines modifiedOffset 4897, 19 lines modified
4898 approchée.·On·a·alors·au·moins·une·racine·de·Q·dans·le·disque·de·centre4897 approchée.·On·a·alors·au·moins·une·racine·de·Q·dans·le·disque·de·centre
4899 z·et·de·rayon·degre(Q)/m,·Si·les·disques·obtenus·sont·disjoints,·on·a·ainsi4898 z·et·de·rayon·degre(Q)/m,·Si·les·disques·obtenus·sont·disjoints,·on·a·ainsi
4900 une·localisation·certifiée·des·racines·complexes.4899 une·localisation·certifiée·des·racines·complexes.
4901 Q:=randpoly(5);·M:=companion(Q);·P,S:=schur(M):;·S4900 Q:=randpoly(5);·M:=companion(Q);·P,S:=schur(M):;·S
4902 4901
4903 4902
4904 4903
4905 x·−50·x·−67·x·−65·x·−5·x+23,·4904 x·+48·x·+46·x·+28·x−67,·
4906 4905
4907 4906
4908 54907 5
  
4909 4 
  
4910 34908 3
  
4911 24909 2
  
4912 04910 0
4913 14911 1
4914 04912 0
Offset 4929, 77 lines modifiedOffset 4926, 77 lines modified
4929 04926 0
4930 04927 0
4931 14928 1
4932 04929 0
  
4933 4930
4934 4931
 4932 0.747978915085
 4933 −0.153772
 4934 0·67
 4935 ·5.73473148437e·−·21
 4936 −0.735758
 4937 0·−28·
4935 0.44546608884 
4936 −0.4 
4937 0·−23 
4938 ·1.71997051168e·−·12 
4939 −0.2 
4940 0 
4941 5· 
4942 4938
4943 4939
4944 4940
4945 0.04941 0.0
4946 1.54942 −0.701467
4947 0·65·4943 0·−46·
4948 ,4944 ,
4949 Done,4945 Done,
4950 4946
4951 4947
4952 4948
4953 ·9.08609347759e·−·21·−6.031 
4954 0·67 
4955 1·50 
4956 −4.04904184448e·−·27·4.35564949 ·−1.46988928737e·−·17·−1.37264453
 4950 0·−48
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381 B
./usr/share/giac/examples/Makefile
    
Offset 282, 15 lines modifiedOffset 282, 15 lines modified
282 PARI_LIBS·=·-lpari282 PARI_LIBS·=·-lpari
283 PATH_SEPARATOR·=·:283 PATH_SEPARATOR·=·:
284 PDFLATEX·=·/usr/bin/pdflatex284 PDFLATEX·=·/usr/bin/pdflatex
285 POSUB·=·po285 POSUB·=·po
286 RANLIB·=·ranlib286 RANLIB·=·ranlib
287 SED·=·/bin/sed287 SED·=·/bin/sed
288 SET_MAKE·=·288 SET_MAKE·=·
289 SHELL·=·/bin/bash289 SHELL·=·/bin/sh
290 STRIP·=·strip290 STRIP·=·strip
291 USE_INCLUDED_LIBINTL·=·no291 USE_INCLUDED_LIBINTL·=·no
292 USE_NLS·=·yes292 USE_NLS·=·yes
293 VERSION·=·1.4.9293 VERSION·=·1.4.9
294 XGETTEXT·=·/usr/bin/xgettext294 XGETTEXT·=·/usr/bin/xgettext
295 XMKMF·=·295 XMKMF·=·
296 X_CFLAGS·=·296 X_CFLAGS·=·
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