From: Christian Bauer Date: Mon, 22 Nov 1999 19:16:33 +0000 (+0000) Subject: - is_zero() is now called on expanded expressions in gcd() X-Git-Tag: release_0-5-0~139 X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=commitdiff_plain;h=f50359e46371c8f9ece3c0fcf0d226b9e649baad;hp=68a7044bf956a75b6bd70aefa21ffe358e648e19 - is_zero() is now called on expanded expressions in gcd() --- diff --git a/ginac/normal.cpp b/ginac/normal.cpp index 82fcaf84..70447acf 100644 --- a/ginac/normal.cpp +++ b/ginac/normal.cpp @@ -1050,21 +1050,22 @@ static ex heur_gcd(const ex &a, const ex &b, ex *ca, ex *cb, sym_desc_vec::const ex gcd(const ex &a, const ex &b, ex *ca, ex *cb, bool check_args) { // Some trivial cases - if (a.is_zero()) { + ex aex = a.expand(), bex = b.expand(); + if (aex.is_zero()) { if (ca) *ca = exZERO(); if (cb) *cb = exONE(); return b; } - if (b.is_zero()) { + if (bex.is_zero()) { if (ca) *ca = exONE(); if (cb) *cb = exZERO(); return a; } - if (a.is_equal(exONE()) || b.is_equal(exONE())) { + if (aex.is_equal(exONE()) || bex.is_equal(exONE())) { if (ca) *ca = a; if (cb) @@ -1080,17 +1081,15 @@ ex gcd(const ex &a, const ex &b, ex *ca, ex *cb, bool check_args) return a; } #endif - if (is_ex_exactly_of_type(a, numeric) && is_ex_exactly_of_type(b, numeric)) { - numeric g = gcd(ex_to_numeric(a), ex_to_numeric(b)); + if (is_ex_exactly_of_type(aex, numeric) && is_ex_exactly_of_type(bex, numeric)) { + numeric g = gcd(ex_to_numeric(aex), ex_to_numeric(bex)); if (ca) - *ca = ex_to_numeric(a) / g; + *ca = ex_to_numeric(aex) / g; if (cb) - *cb = ex_to_numeric(b) / g; + *cb = ex_to_numeric(bex) / g; return g; } if (check_args && !a.info(info_flags::rational_polynomial) || !b.info(info_flags::rational_polynomial)) { - cerr << "a=" << a << endl; - cerr << "b=" << b << endl; throw(std::invalid_argument("gcd: arguments must be polynomials over the rationals")); } @@ -1109,40 +1108,40 @@ ex gcd(const ex &a, const ex &b, ex *ca, ex *cb, bool check_args) if (min_ldeg > 0) { ex common = power(*x, min_ldeg); //clog << "trivial common factor " << common << endl; - return gcd((a / common).expand(), (b / common).expand(), ca, cb, false) * common; + return gcd((aex / common).expand(), (bex / common).expand(), ca, cb, false) * common; } // Try to eliminate variables if (var->deg_a == 0) { //clog << "eliminating variable " << *x << " from b" << endl; - ex c = b.content(*x); - ex g = gcd(a, c, ca, cb, false); + ex c = bex.content(*x); + ex g = gcd(aex, c, ca, cb, false); if (cb) - *cb *= b.unit(*x) * b.primpart(*x, c); + *cb *= bex.unit(*x) * bex.primpart(*x, c); return g; } else if (var->deg_b == 0) { //clog << "eliminating variable " << *x << " from a" << endl; - ex c = a.content(*x); - ex g = gcd(c, b, ca, cb, false); + ex c = aex.content(*x); + ex g = gcd(c, bex, ca, cb, false); if (ca) - *ca *= a.unit(*x) * a.primpart(*x, c); + *ca *= aex.unit(*x) * aex.primpart(*x, c); return g; } // Try heuristic algorithm first, fall back to PRS if that failed ex g; try { - g = heur_gcd(a.expand(), b.expand(), ca, cb, var); + g = heur_gcd(aex, bex, ca, cb, var); } catch (gcdheu_failed) { g = *new ex(fail()); } if (is_ex_exactly_of_type(g, fail)) { //clog << "heuristics failed\n"; - g = sr_gcd(a, b, x); + g = sr_gcd(aex, bex, x); if (ca) - divide(a, g, *ca, false); + divide(aex, g, *ca, false); if (cb) - divide(b, g, *cb, false); + divide(bex, g, *cb, false); } return g; }