X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_differentiation.cpp;h=dac69e3dd26d77dde58e3961a1b45c4147cb76d4;hp=b99c022b1caa28b2210b7cf69f30fc0262d5954c;hb=74bc832973cda4204e349396c9f4f7d056f16366;hpb=383d5eb3b0f0506810d9105a268f939125bfc347 diff --git a/check/exam_differentiation.cpp b/check/exam_differentiation.cpp index b99c022b..dac69e3d 100644 --- a/check/exam_differentiation.cpp +++ b/check/exam_differentiation.cpp @@ -3,7 +3,7 @@ * Tests for symbolic differentiation, including various functions. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2020 Johannes Gutenberg University Mainz, Germany * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by @@ -17,16 +17,20 @@ * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software - * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ -#include "exams.h" +#include "ginac.h" +using namespace GiNaC; + +#include +using namespace std; static unsigned check_diff(const ex &e, const symbol &x, const ex &d, unsigned nth=1) { ex ed = e.diff(x, nth); - if ((ed - d).compare(ex(0)) != 0) { + if (!(ed - d).is_zero()) { switch (nth) { case 0: clog << "zeroth "; @@ -45,9 +49,7 @@ static unsigned check_diff(const ex &e, const symbol &x, clog << "derivative of " << e << " by " << x << " returned " << ed << " instead of " << d << endl; clog << "returned:" << endl; - ed.printtree(clog); - clog << endl << "instead of" << endl; - d.printtree(clog); + clog << tree << ed << "instead of\n" << d << dflt; return 1; } @@ -55,7 +57,7 @@ static unsigned check_diff(const ex &e, const symbol &x, } // Simple (expanded) polynomials -static unsigned exam_differentiation1(void) +static unsigned exam_differentiation1() { unsigned result = 0; symbol x("x"), y("y"); @@ -67,26 +69,26 @@ static unsigned exam_differentiation1(void) e = (e1 * e2).expand(); // d e / dx: - d = ex("121-55/x^2-66/x^3-30/x^3/y^2-42/x^3/y-78/x^3*y-102/x^3*y^2-25/x^2/y^2-35/x^2/y-65/x^2*y-85/x^2*y^2+77/y+143*y+187*y^2+130*x/y^2+182/y*x+338*x*y+442*x*y^2+55/y^2+286*x",lst(x,y)); + d = ex("121-55/x^2-66/x^3-30/x^3/y^2-42/x^3/y-78/x^3*y-102/x^3*y^2-25/x^2/y^2-35/x^2/y-65/x^2*y-85/x^2*y^2+77/y+143*y+187*y^2+130*x/y^2+182/y*x+338*x*y+442*x*y^2+55/y^2+286*x",lst{x,y}); result += check_diff(e, x, d); // d e / dy: - d = ex("91-30/x^2/y^3-21/x^2/y^2+39/x^2+102/x^2*y-50/x/y^3-35/x/y^2+65/x+170/x*y-77*x/y^2+143*x+374*x*y-130/y^3*x^2-91/y^2*x^2+169*x^2+442*x^2*y-110/y^3*x-70/y^3+238*y-49/y^2",lst(x,y)); + d = ex("91-30/x^2/y^3-21/x^2/y^2+39/x^2+102/x^2*y-50/x/y^3-35/x/y^2+65/x+170/x*y-77*x/y^2+143*x+374*x*y-130/y^3*x^2-91/y^2*x^2+169*x^2+442*x^2*y-110/y^3*x-70/y^3+238*y-49/y^2",lst{x,y}); result += check_diff(e, y, d); // d^2 e / dx^2: - d = ex("286+90/x^4/y^2+126/x^4/y+234/x^4*y+306/x^4*y^2+50/x^3/y^2+70/x^3/y+130/x^3*y+170/x^3*y^2+130/y^2+182/y+338*y+442*y^2+198/x^4+110/x^3",lst(x,y)); + d = ex("286+90/x^4/y^2+126/x^4/y+234/x^4*y+306/x^4*y^2+50/x^3/y^2+70/x^3/y+130/x^3*y+170/x^3*y^2+130/y^2+182/y+338*y+442*y^2+198/x^4+110/x^3",lst{x,y}); result += check_diff(e, x, d, 2); // d^2 e / dy^2: - d = ex("238+90/x^2/y^4+42/x^2/y^3+102/x^2+150/x/y^4+70/x/y^3+170/x+330*x/y^4+154*x/y^3+374*x+390*x^2/y^4+182*x^2/y^3+442*x^2+210/y^4+98/y^3",lst(x,y)); + d = ex("238+90/x^2/y^4+42/x^2/y^3+102/x^2+150/x/y^4+70/x/y^3+170/x+330*x/y^4+154*x/y^3+374*x+390*x^2/y^4+182*x^2/y^3+442*x^2+210/y^4+98/y^3",lst{x,y}); result += check_diff(e, y, d, 2); return result; } // Trigonometric functions -static unsigned exam_differentiation2(void) +static unsigned exam_differentiation2() { unsigned result = 0; symbol x("x"), y("y"), a("a"), b("b"); @@ -135,7 +137,7 @@ static unsigned exam_differentiation2(void) } // exp function -static unsigned exam_differentiation3(void) +static unsigned exam_differentiation3() { unsigned result = 0; symbol x("x"), y("y"), a("a"), b("b"); @@ -163,7 +165,7 @@ static unsigned exam_differentiation3(void) } // log functions -static unsigned exam_differentiation4(void) +static unsigned exam_differentiation4() { unsigned result = 0; symbol x("x"), y("y"), a("a"), b("b"); @@ -193,7 +195,7 @@ static unsigned exam_differentiation4(void) } // Functions with two variables -static unsigned exam_differentiation5(void) +static unsigned exam_differentiation5() { unsigned result = 0; symbol x("x"), y("y"), a("a"), b("b"); @@ -214,7 +216,7 @@ static unsigned exam_differentiation5(void) } // Series -static unsigned exam_differentiation6(void) +static unsigned exam_differentiation6() { symbol x("x"); ex e, d, ed; @@ -225,7 +227,7 @@ static unsigned exam_differentiation6(void) ed = series_to_poly(ed); d = series_to_poly(d); - if ((ed - d).compare(ex(0)) != 0) { + if (!(ed - d).is_zero()) { clog << "derivative of " << e << " by " << x << " returned " << ed << " instead of " << d << ")" << endl; return 1; @@ -234,7 +236,7 @@ static unsigned exam_differentiation6(void) } // Hashing can help a lot, if differentiation is done cleverly -static unsigned exam_differentiation7(void) +static unsigned exam_differentiation7() { symbol x("x"); ex P = x + pow(x,3); @@ -257,12 +259,11 @@ static unsigned exam_differentiation7(void) return 0; } -unsigned exam_differentiation(void) +unsigned exam_differentiation() { unsigned result = 0; cout << "examining symbolic differentiation" << flush; - clog << "----------symbolic differentiation:" << endl; result += exam_differentiation1(); cout << '.' << flush; result += exam_differentiation2(); cout << '.' << flush; @@ -272,11 +273,10 @@ unsigned exam_differentiation(void) result += exam_differentiation6(); cout << '.' << flush; result += exam_differentiation7(); cout << '.' << flush; - if (!result) { - cout << " passed " << endl; - clog << "(no output)" << endl; - } else { - cout << " failed " << endl; - } return result; } + +int main(int argc, char** argv) +{ + return exam_differentiation(); +}