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1271 -rw-r--r--···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/doc/es/html_mtt1271 -rw-r--r--···0·root·········(0)·root·········(0)········0·2018-09-06·04:45:13.000000·./usr/share/giac/doc/es/html_mtt
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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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1443 -rw-r--r--···0·root·········(0)·root·········(0)·····6007·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/prog/gauss_jordan.xws1443 -rw-r--r--···0·root·········(0)·root·········(0)·····6007·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/prog/gauss_jordan.xws
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
1447 -rw-r--r--···0·root·········(0)·root·········(0)····11863·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/tpi.xws1447 -rw-r--r--···0·root·········(0)·root·········(0)····11863·2018-09-06·04:45:13.000000·./usr/share/giac/examples/Exemples/spects/tpi.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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2377 Il·peut·être·interessant·de·tester·ces·exercices·en·parallèle·avec·Xcas·et·des2377 Il·peut·être·interessant·de·tester·ces·exercices·en·parallèle·avec·Xcas·et·des
2378 calculatrices·formelles....2378 calculatrices·formelles....
2379 1.·À·quelle·vitesse·votre·logiciel·multiplie-t-il·des·grands·entiers·(en·fonction2379 1.·À·quelle·vitesse·votre·logiciel·multiplie-t-il·des·grands·entiers·(en·fonction
2380 du·nombre·de·chiffres)·?·On·pourra·tester·le·temps·de·calcul·du·produit·de2380 du·nombre·de·chiffres)·?·On·pourra·tester·le·temps·de·calcul·du·produit·de
2381 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))2381 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))
2382 ou·avec·poly1[op(ranm(.))]).2382 ou·avec·poly1[op(ranm(.))]).
2383 n:=100;·p:=symb2poly(randpoly(n)):;·time(p*p);2383 n:=100;·p:=symb2poly(randpoly(n)):;·time(p*p);
2384 100,·Done,·[0.00013,·0.000132235875]2384 100,·Done,·[5.5e·−·05,·5.09797695e·−·05]
2385 2.·Comparer·le·temps·de·calcul·de·an·(mod·m)·par·la·fonction·powmod·et2385 2.·Comparer·le·temps·de·calcul·de·an·(mod·m)·par·la·fonction·powmod·et
2386 la·méthode·prendre·le·reste·modulo·m·après·avoir·calculé·an·.2386 la·méthode·prendre·le·reste·modulo·m·après·avoir·calculé·an·.
2387 a:=123;·n:=456;·m:=789;·time(powmod(a,n,m2387 a:=123;·n:=456;·m:=789;·time(powmod(a,n,m
2388 ));·time(irem(a^n,m));2388 ));·time(irem(a^n,m));
2389 123,·456,·789,·[2.2e−06,·2.14195112e−06],·[1.3e−05,·1.35299174e−05]2389 123,·456,·789,·[7e·−·07,·7.3876105e·−·07],·[5e·−·06,·4.809939875e·−·06]
2390 Programmez·la·méthode·rapide·et·la·méthode·lente.·Refaites·la·comparaison.·Pour·la·méthode·rapide,·programmer·aussi·la·version·itérative·utilisant2390 Programmez·la·méthode·rapide·et·la·méthode·lente.·Refaites·la·comparaison.·Pour·la·méthode·rapide,·programmer·aussi·la·version·itérative·utilisant
2391 la·décomposition·en·base·2·de·l’exposant·:·on·stocke·dans·une·variable2391 la·décomposition·en·base·2·de·l’exposant·:·on·stocke·dans·une·variable
2392 02392 0
2393 12393 1
2394 k2394 k
2395 locale·b·les·puissances·successives·a2·(mod·m),·a2·(mod·m),·...,·a22395 locale·b·les·puissances·successives·a2·(mod·m),·a2·(mod·m),·...,·a2
2396 (mod·m),·...,·on·forme·an·(mod·n)·en·prenant·le·produit·modulo·m·de2396 (mod·m),·...,·on·forme·an·(mod·n)·en·prenant·le·produit·modulo·m·de
Offset 2421, 15 lines modifiedOffset 2421, 15 lines modified
2421 (c)·l’inverse·modulaire·en·ne·calculant·que·ce·qui·est·nécessaire·dans·l’algorithme·de·Bézout2421 (c)·l’inverse·modulaire·en·ne·calculant·que·ce·qui·est·nécessaire·dans·l’algorithme·de·Bézout
2422 (d)·les·restes·chinois2422 (d)·les·restes·chinois
2423 6.·Construire·un·corps·fini·de·cardinal·128·(GF),·puis·factoriser·le·polynôme2423 6.·Construire·un·corps·fini·de·cardinal·128·(GF),·puis·factoriser·le·polynôme
2424 x2·−·y·où·y·est·un·élément·quelconque·du·corps·fini.·Comparer·avec·la2424 x2·−·y·où·y·est·un·élément·quelconque·du·corps·fini.·Comparer·avec·la
2425 √2425 √
2426 valeur·de·y.2426 valeur·de·y.
2427 GF(2,7);2427 GF(2,7);
2428 GF·(2,·k·7·+·k·6·+·k·5·+·k·3·+·k·2·+·k·+·1,·[k,·K,·g],·undef·)2428 GF·(2,·k·7·+·k·6·+·k·4·+·k·2·+·1,·[k,·K,·g],·undef·)
2429 7.·Utiliser·la·commande·type·ou·whattype·ou·équivalent·pour·déterminer2429 7.·Utiliser·la·commande·type·ou·whattype·ou·équivalent·pour·déterminer
2430 la·représentation·utilisée·par·le·logiciel·pour·représenter·une·fraction,·un2430 la·représentation·utilisée·par·le·logiciel·pour·représenter·une·fraction,·un
2431 nombre·complexe,·un·flottant·en·précision·machine,·un·flottant·avec·1002431 nombre·complexe,·un·flottant·en·précision·machine,·un·flottant·avec·100
2432 décimales,·la·variable·x,·l’expression·sin(x)·+·2,·la·fonction·x->sin(x),2432 décimales,·la·variable·x,·l’expression·sin(x)·+·2,·la·fonction·x->sin(x),
2433 une·liste,·une·séquence,·un·vecteur,·une·matrice.·Essayez·d’accéder·aux2433 une·liste,·une·séquence,·un·vecteur,·une·matrice.·Essayez·d’accéder·aux
2434 parties·de·l’objet·pour·les·objets·composites·(en·utilisant·op·par·exemple).2434 parties·de·l’objet·pour·les·objets·composites·(en·utilisant·op·par·exemple).
2435 a:=sin(x)+2;·type(a);·a[0];·a[1]2435 a:=sin(x)+2;·type(a);·a[0];·a[1]
Offset 2512, 15 lines modifiedOffset 2512, 15 lines modified
2512 CHAPITRE·3.·CALCULER·SUR·ORDINATEUR2512 CHAPITRE·3.·CALCULER·SUR·ORDINATEUR
2513 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·le2513 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
2514 nombre·de·termes·dans·le·développement·de·(x·+·y·+·z·+·1)n·et·expliquez.2514 nombre·de·termes·dans·le·développement·de·(x·+·y·+·z·+·1)n·et·expliquez.
  
2515 time(normal((x+y+z+1)^30));·a:=normal((x+y+z+12515 time(normal((x+y+z+1)^30));·a:=normal((x+y+z+1
2516 )^15):;·time(normal(a*a));2516 )^15):;·time(normal(a*a));
  
2517 [0.015,·0.0145645466],·Done,·[0.032,·0.0322160338]2517 [0.006,·0.0058377317],·Done,·[0.014,·0.014584815]
  
2518 15.·Programmation·de·la·méthode·de·Horner2518 15.·Programmation·de·la·méthode·de·Horner
2519 Il·s’agit·d’évaluer·efficacement·un·polynôme2519 Il·s’agit·d’évaluer·efficacement·un·polynôme
  
2520 P·(X)·=·an·X·n·+·...·+·a02520 P·(X)·=·an·X·n·+·...·+·a0
  
2521 en·un·point.·On·pose·b0·=·P·(α)·et·on·écrit·:2521 en·un·point.·On·pose·b0·=·P·(α)·et·on·écrit·:
Offset 4895, 24 lines modifiedOffset 4895, 21 lines modified
4895 approchée.·On·a·alors·au·moins·une·racine·de·Q·dans·le·disque·de·centre4895 approchée.·On·a·alors·au·moins·une·racine·de·Q·dans·le·disque·de·centre
4896 z·et·de·rayon·degre(Q)/m,·Si·les·disques·obtenus·sont·disjoints,·on·a·ainsi4896 z·et·de·rayon·degre(Q)/m,·Si·les·disques·obtenus·sont·disjoints,·on·a·ainsi
4897 une·localisation·certifiée·des·racines·complexes.4897 une·localisation·certifiée·des·racines·complexes.
4898 Q:=randpoly(5);·M:=companion(Q);·P,S:=schur(M):;·S4898 Q:=randpoly(5);·M:=companion(Q);·P,S:=schur(M):;·S
4899 4899
4900 4900
4901 4901
4902 x·+6·x·+54·x·+21·x·+27·x−27,· 
4903  
4904  
4905 54902 5
  
4906 44903 4
  
4907 34904 3
  
4908 24905 2
 4906 x·+29·x·+64·x·−50·x·−72·x+9,·
 4907
 4908
  
4909 04909 0
4910 14910 1
4911 04911 0
4912 04912 0
4913 04913 0
  
Offset 4924, 80 lines modifiedOffset 4921, 83 lines modified
  
4924 04921 0
4925 04922 0
4926 04923 0
4927 14924 1
4928 04925 0
  
4929 4926 0·−9
 4927 0·72
 4928 0·50
 4929 0·−64
 4930 1·−29
  
4930 4931
4931 0.511743060015 
 4932
  
 4933 1.10673958414
 4934 0.45
 4935 ·−9.20486585649e·−·21
 4936
4932 0.1064937 0.1
4933 0·27 
4934 ·2.89199676703e·−·15 
4935 −0.442 
4936 0·−27· 
4937 4938
4938 4939
 4940 ·,·Done,··7.98356245126e·−·23·−1.476
4939  
4940 0.0 
4941 0.890 
4942 0·−21· 
4943 , 
4944 Done, 
4945 4941
4946 4942
4947 4943
 4944 ·1.86085137606e·−·20·−2.112
 4945 −3.83696194444e·−·15·−2.801
4948 ·1.71469329106e·−·20·−1.42303 
4949 0·−54 
4950 1·−6 
4951 0.0 
  
4952 P*S*trn(P);·P*trn(P);4946 P*S*trn(P);·P*trn(P);
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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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