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* ox_pariについて | ||
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2 ox_pari函数 | ||
Index |
ox_pari は数論システム pari のサーバである. pari 函数の呼び出し方法は
pari(函数名, 引数1, ...);
サーバーに登録されている函数名は次節を参照.
Pari/gp は Bordeaux 大学で開発されている数論システムである. 次の web サイトを参照.
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2.1 ox_pari |
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ox_pari
:: pari 函数 func を呼び出す.
Pari 函数による計算結果
Pari 函数への引数
/* type=1 : one num/poly/mat arg */ /* type=2 : 1starg=num/poly/mat arg, 2ndarg=0(flag) */ struct parif parif_tab[] = { /* (ulong)allocatemoremem(ulong) */ {"allocatemem",(GEN (*)())allocatemoremem,0}, /* num/num */ {"abs",gabs,1}, {"erfc",gerfc,1}, {"arg",garg,1}, {"isqrt",racine,1}, {"gamma",ggamma,1}, {"zeta",gzeta,1}, {"floor",gfloor,1}, {"frac",gfrac,1}, {"imag",gimag,1}, {"conj",gconj,1}, {"ceil",gceil,1}, {"isprime",gisprime,2}, {"bigomega",gbigomega,1}, {"denom",denom,1}, {"numer",numer,1}, {"lngamma",glngamma,1}, {"logagm",glogagm,1}, {"classno",classno,1}, {"dilog",dilog,1}, {"disc",discsr,1}, {"discf",discf,1}, {"nextprime",nextprime,1}, {"eintg1",eint1,1}, {"eta",eta,1}, {"issqfree",gissquarefree,1}, {"issquare",gcarreparfait,1}, {"gamh",ggamd,1}, {"hclassno",classno3,1}, /* num/array */ {"binary",binaire,1}, {"factorint",factorint,2}, {"factor",Z_factor,1}, {"cf",gcf,1}, {"divisors",divisors,1}, {"smallfact",smallfact,1}, /* poly/poly */ {"centerlift",centerlift,1}, {"content",content,1}, /* poly/array */ {"galois",galois,1}, {"roots",roots,1}, {"factpol",factpol,1}, /* mat/mat */ {"adj",adj,1}, {"lll",lll,1}, {"lllgen",lllgen,1}, {"lllgram",lllgram,1}, {"lllgramgen",lllgramgen,1}, {"lllgramint",lllgramint,1}, {"lllgramkerim",lllgramkerim,1}, {"lllgramkerimgen",lllgramkerimgen,1}, {"lllint",lllint,1}, {"lllkerim",lllkerim,1}, {"lllkerimgen",lllkerimgen,1}, {"trans",gtrans,1}, {"eigen",eigen,1}, {"hermite",hnf,1}, {"mat",gtomat,1}, {"matrixqz2",matrixqz2,1}, {"matrixqz3",matrixqz3,1}, {"hess",hess,1}, {"ker",ker,1}, {"keri",keri,1}, {"kerint",kerint,1}, {"kerintg1",kerint1,1}, /* mat/poly */ {"det",det,1}, {"det2",det2,1}, /* not examined yet */ {"image",image,1}, {"image2",image2,1}, {"indexrank",indexrank,1}, {"indsort",indexsort,1}, {"initalg",initalg,1}, {"isfund",gisfundamental,1}, {"ispsp",gispsp,1}, {"jacobi",jacobi,1}, {"jell",jell,1}, {"length",(GEN(*)())glength,1}, {"lexsort",lexsort,1}, {"lift",lift,1}, {"lindep",lindep,1}, {"modreverse",polymodrecip,1}, {"mu",gmu,1}, {"norm",gnorm,1}, {"norml2",gnorml2,1}, {"numdiv",numbdiv,1}, {"omega",gomega,1}, {"order",order,1}, {"ordred",ordred,1}, {"phi",phi,1}, {"pnqn",pnqn,1}, {"primroot",gener,1}, {"psi",gpsi,1}, {"quadgen",quadgen ,1}, {"quadpoly",quadpoly ,1}, {"recip",polrecip ,1}, {"redreal",redreal ,1}, {"regula",regula ,1}, {"reorder",reorder ,1}, {"rhoreal",rhoreal ,1}, {"sigma",sumdiv,1}, {"signat",signat,1}, {"simplify",simplify,1}, {"smith",smith,1}, {"smith2",smith2,1}, {"sort",sort,1}, {"sqr",gsqr,1}, {"sqred",sqred,1}, {"sqrt",gsqrt,1}, {"supplement",suppl,1}, {"trace",gtrace,1}, {"trunc",gtrunc,1}, {"unit",fundunit,1}, {"wf",wf,1}, {"wf2",wf2,1}, };
呼び出し例, Ker(P: Z^4 —> Z^2) の Z 基底を求める.
pari(kerint,newmat(2,4,[[1,1,1],[0,1,3,4]]));
kerint についての情報は https://pari.math.u-bordeaux.fr/dochtml/html/ を見よ (gp での函数名は matkerint).
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