From 27d8eeed808afec4b319cea040d62365b65d49bc Mon Sep 17 00:00:00 2001 From: Richard Kreckel Date: Wed, 15 Mar 2000 21:22:03 +0000 Subject: [PATCH] - New file exam_inifcns.cpp holds some functions that really do not belong to the checks. --- check/Makefile.am | 6 +- check/Makefile.in | 22 ++--- check/check_inifcns.cpp | 182 ++-------------------------------- check/exam_inifcns.cpp | 210 ++++++++++++++++++++++++++++++++++++++++ check/exams.cpp | 7 ++ check/exams.h | 1 + check/exams.ref | 2 + 7 files changed, 241 insertions(+), 189 deletions(-) create mode 100644 check/exam_inifcns.cpp diff --git a/check/Makefile.am b/check/Makefile.am index b27d37ef..6b3919f6 100644 --- a/check/Makefile.am +++ b/check/Makefile.am @@ -2,9 +2,9 @@ TESTS = run_exams run_checks run_times check_PROGRAMS = exams checks times exams_SOURCES = exam_paranoia.cpp exam_numeric.cpp exam_powerlaws.cpp \ - exam_differentiation.cpp exam_polygcd.cpp exam_normalization.cpp \ - exam_pseries.cpp exam_matrices.cpp exam_lsolve.cpp exam_noncommut.cpp \ - exam_misc.cpp exams.cpp exams.h + exam_inifcns.cpp exam_differentiation.cpp exam_polygcd.cpp \ + exam_normalization.cpp exam_pseries.cpp exam_matrices.cpp exam_lsolve.cpp \ + exam_noncommut.cpp exam_misc.cpp exams.cpp exams.h exams_LDADD = ../ginac/libginac.la checks_SOURCES = check_numeric.cpp check_inifcns.cpp check_matrices.cpp \ check_lsolve.cpp genex.cpp checks.cpp checks.h diff --git a/check/Makefile.in b/check/Makefile.in index 318e2191..80a3d076 100644 --- a/check/Makefile.in +++ b/check/Makefile.in @@ -105,7 +105,7 @@ YACC = @YACC@ TESTS = run_exams run_checks run_times check_PROGRAMS = exams checks times -exams_SOURCES = exam_paranoia.cpp exam_numeric.cpp exam_powerlaws.cpp exam_differentiation.cpp exam_polygcd.cpp exam_normalization.cpp exam_pseries.cpp exam_matrices.cpp exam_lsolve.cpp exam_noncommut.cpp exam_misc.cpp exams.cpp exams.h +exams_SOURCES = exam_paranoia.cpp exam_numeric.cpp exam_powerlaws.cpp exam_inifcns.cpp exam_differentiation.cpp exam_polygcd.cpp exam_normalization.cpp exam_pseries.cpp exam_matrices.cpp exam_lsolve.cpp exam_noncommut.cpp exam_misc.cpp exams.cpp exams.h exams_LDADD = ../ginac/libginac.la checks_SOURCES = check_numeric.cpp check_inifcns.cpp check_matrices.cpp check_lsolve.cpp genex.cpp checks.cpp checks.h @@ -126,9 +126,9 @@ CPPFLAGS = @CPPFLAGS@ LDFLAGS = @LDFLAGS@ LIBS = @LIBS@ exams_OBJECTS = exam_paranoia.o exam_numeric.o exam_powerlaws.o \ -exam_differentiation.o exam_polygcd.o exam_normalization.o \ -exam_pseries.o exam_matrices.o exam_lsolve.o exam_noncommut.o \ -exam_misc.o exams.o +exam_inifcns.o exam_differentiation.o exam_polygcd.o \ +exam_normalization.o exam_pseries.o exam_matrices.o exam_lsolve.o \ +exam_noncommut.o exam_misc.o exams.o exams_DEPENDENCIES = ../ginac/libginac.la exams_LDFLAGS = checks_OBJECTS = check_numeric.o check_inifcns.o check_matrices.o \ @@ -158,13 +158,13 @@ TAR = tar GZIP_ENV = --best DEP_FILES = .deps/check_inifcns.P .deps/check_lsolve.P \ .deps/check_matrices.P .deps/check_numeric.P .deps/checks.P \ -.deps/exam_differentiation.P .deps/exam_lsolve.P .deps/exam_matrices.P \ -.deps/exam_misc.P .deps/exam_noncommut.P .deps/exam_normalization.P \ -.deps/exam_numeric.P .deps/exam_paranoia.P .deps/exam_polygcd.P \ -.deps/exam_powerlaws.P .deps/exam_pseries.P .deps/exams.P .deps/genex.P \ -.deps/time_dennyfliegner.P .deps/time_gammaseries.P \ -.deps/time_toeplitz.P .deps/time_vandermonde.P .deps/timer.P \ -.deps/times.P +.deps/exam_differentiation.P .deps/exam_inifcns.P .deps/exam_lsolve.P \ +.deps/exam_matrices.P .deps/exam_misc.P .deps/exam_noncommut.P \ +.deps/exam_normalization.P .deps/exam_numeric.P .deps/exam_paranoia.P \ +.deps/exam_polygcd.P .deps/exam_powerlaws.P .deps/exam_pseries.P \ +.deps/exams.P .deps/genex.P .deps/time_dennyfliegner.P \ +.deps/time_gammaseries.P .deps/time_toeplitz.P .deps/time_vandermonde.P \ +.deps/timer.P .deps/times.P SOURCES = $(exams_SOURCES) $(checks_SOURCES) $(times_SOURCES) OBJECTS = $(exams_OBJECTS) $(checks_OBJECTS) $(times_OBJECTS) diff --git a/check/check_inifcns.cpp b/check/check_inifcns.cpp index fb7d9993..b9e1f9f8 100644 --- a/check/check_inifcns.cpp +++ b/check/check_inifcns.cpp @@ -24,7 +24,7 @@ #include "checks.h" /* Some tests on the sine trigonometric function. */ -static unsigned inifcns_consist_sin(void) +static unsigned inifcns_check_sin(void) { unsigned result = 0; bool errorflag = false; @@ -80,7 +80,7 @@ static unsigned inifcns_consist_sin(void) } /* Simple tests on the cosine trigonometric function. */ -static unsigned inifcns_consist_cos(void) +static unsigned inifcns_check_cos(void) { unsigned result = 0; bool errorflag; @@ -135,7 +135,7 @@ static unsigned inifcns_consist_cos(void) } /* Simple tests on the tangent trigonometric function. */ -static unsigned inifcns_consist_tan(void) +static unsigned inifcns_check_tan(void) { unsigned result = 0; bool errorflag; @@ -164,170 +164,6 @@ static unsigned inifcns_consist_tan(void) return result; } -/* Assorted tests on other transcendental functions. */ -static unsigned inifcns_consist_trans(void) -{ - unsigned result = 0; - symbol x("x"); - ex chk; - - chk = asin(1)-acos(0); - if (!chk.is_zero()) { - clog << "asin(1)-acos(0) erroneously returned " << chk - << " instead of 0" << endl; - ++result; - } - - // arbitrary check of type sin(f(x)): - chk = pow(sin(acos(x)),2) + pow(sin(asin(x)),2) - - (1+pow(x,2))*pow(sin(atan(x)),2); - if (chk != 1-pow(x,2)) { - clog << "sin(acos(x))^2 + sin(asin(x))^2 - (1+x^2)*sin(atan(x))^2 " - << "erroneously returned " << chk << " instead of 1-x^2" << endl; - ++result; - } - - // arbitrary check of type cos(f(x)): - chk = pow(cos(acos(x)),2) + pow(cos(asin(x)),2) - - (1+pow(x,2))*pow(cos(atan(x)),2); - if (!chk.is_zero()) { - clog << "cos(acos(x))^2 + cos(asin(x))^2 - (1+x^2)*cos(atan(x))^2 " - << "erroneously returned " << chk << " instead of 0" << endl; - ++result; - } - - // arbitrary check of type tan(f(x)): - chk = tan(acos(x))*tan(asin(x)) - tan(atan(x)); - if (chk != 1-x) { - clog << "tan(acos(x))*tan(asin(x)) - tan(atan(x)) " - << "erroneously returned " << chk << " instead of -x+1" << endl; - ++result; - } - - // arbitrary check of type sinh(f(x)): - chk = -pow(sinh(acosh(x)),2).expand()*pow(sinh(atanh(x)),2) - - pow(sinh(asinh(x)),2); - if (!chk.is_zero()) { - clog << "expand(-(sinh(acosh(x)))^2)*(sinh(atanh(x))^2) - sinh(asinh(x))^2 " - << "erroneously returned " << chk << " instead of 0" << endl; - ++result; - } - - // arbitrary check of type cosh(f(x)): - chk = (pow(cosh(asinh(x)),2) - 2*pow(cosh(acosh(x)),2)) - * pow(cosh(atanh(x)),2); - if (chk != 1) { - clog << "(cosh(asinh(x))^2 - 2*cosh(acosh(x))^2) * cosh(atanh(x))^2 " - << "erroneously returned " << chk << " instead of 1" << endl; - ++result; - } - - // arbitrary check of type tanh(f(x)): - chk = (pow(tanh(asinh(x)),-2) - pow(tanh(acosh(x)),2)).expand() - * pow(tanh(atanh(x)),2); - if (chk != 2) { - clog << "expand(tanh(acosh(x))^2 - tanh(asinh(x))^(-2)) * tanh(atanh(x))^2 " - << "erroneously returned " << chk << " instead of 2" << endl; - ++result; - } - - return result; -} - -/* Simple tests on the Gamma function. We stuff in arguments where the results - * exists in closed form and check if it's ok. */ -static unsigned inifcns_consist_gamma(void) -{ - unsigned result = 0; - ex e; - - e = gamma(ex(1)); - for (int i=2; i<8; ++i) - e += gamma(ex(i)); - if (e != numeric(874)) { - clog << "gamma(1)+...+gamma(7) erroneously returned " - << e << " instead of 874" << endl; - ++result; - } - - e = gamma(ex(1)); - for (int i=2; i<8; ++i) - e *= gamma(ex(i)); - if (e != numeric(24883200)) { - clog << "gamma(1)*...*gamma(7) erroneously returned " - << e << " instead of 24883200" << endl; - ++result; - } - - e = gamma(ex(numeric(5, 2)))*gamma(ex(numeric(9, 2)))*64; - if (e != 315*Pi) { - clog << "64*gamma(5/2)*gamma(9/2) erroneously returned " - << e << " instead of 315*Pi" << endl; - ++result; - } - - e = gamma(ex(numeric(-13, 2))); - for (int i=-13; i<7; i=i+2) - e += gamma(ex(numeric(i, 2))); - e = (e*gamma(ex(numeric(15, 2)))*numeric(512)); - if (e != numeric(633935)*Pi) { - clog << "512*(gamma(-13/2)+...+gamma(5/2))*gamma(15/2) erroneously returned " - << e << " instead of 633935*Pi" << endl; - ++result; - } - - return result; -} - -/* Simple tests on the Psi-function (aka polygamma-function). We stuff in - arguments where the result exists in closed form and check if it's ok. */ -static unsigned inifcns_consist_psi(void) -{ - unsigned result = 0; - symbol x; - ex e, f; - - // We check psi(1) and psi(1/2) implicitly by calculating the curious - // little identity gamma(1)'/gamma(1) - gamma(1/2)'/gamma(1/2) == 2*log(2). - e += (gamma(x).diff(x)/gamma(x)).subs(x==numeric(1)); - e -= (gamma(x).diff(x)/gamma(x)).subs(x==numeric(1,2)); - if (e!=2*log(2)) { - clog << "gamma(1)'/gamma(1) - gamma(1/2)'/gamma(1/2) erroneously returned " - << e << " instead of 2*log(2)" << endl; - ++result; - } - - return result; -} - -/* Simple tests on the Riemann Zeta function. We stuff in arguments where the - * result exists in closed form and check if it's ok. Of course, this checks - * the Bernoulli numbers as a side effect. */ -static unsigned inifcns_consist_zeta(void) -{ - unsigned result = 0; - ex e; - - for (int i=0; i<13; i+=2) - e += zeta(i)/pow(Pi,i); - if (e!=numeric(-204992279,638512875)) { - clog << "zeta(0) + zeta(2) + ... + zeta(12) erroneously returned " - << e << " instead of -204992279/638512875" << endl; - ++result; - } - - e = 0; - for (int i=-1; i>-16; i--) - e += zeta(i); - if (e!=numeric(487871,1633632)) { - clog << "zeta(-1) + zeta(-2) + ... + zeta(-15) erroneously returned " - << e << " instead of 487871/1633632" << endl; - ++result; - } - - return result; -} - unsigned check_inifcns(void) { unsigned result = 0; @@ -335,14 +171,10 @@ unsigned check_inifcns(void) cout << "checking consistency of symbolic functions" << flush; clog << "---------consistency of symbolic functions:" << endl; - result += inifcns_consist_sin(); cout << '.' << flush; - result += inifcns_consist_cos(); cout << '.' << flush; - result += inifcns_consist_tan(); cout << '.' << flush; - result += inifcns_consist_trans(); cout << '.' << flush; - result += inifcns_consist_gamma(); cout << '.' << flush; - result += inifcns_consist_psi(); cout << '.' << flush; - result += inifcns_consist_zeta(); cout << '.' << flush; - + result += inifcns_check_sin(); cout << '.' << flush; + result += inifcns_check_cos(); cout << '.' << flush; + result += inifcns_check_tan(); cout << '.' << flush; + if (!result) { cout << " passed " << endl; clog << "(no output)" << endl; diff --git a/check/exam_inifcns.cpp b/check/exam_inifcns.cpp new file mode 100644 index 00000000..d91c02c0 --- /dev/null +++ b/check/exam_inifcns.cpp @@ -0,0 +1,210 @@ +/** @file exam_inifcns.cpp + * + * This test routine applies assorted tests on initially known higher level + * functions. */ + +/* + * GiNaC Copyright (C) 1999-2000 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 + * the Free Software Foundation; either version 2 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * 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 + */ + +#include "exams.h" + +/* Assorted tests on other transcendental functions. */ +static unsigned inifcns_consist_trans(void) +{ + unsigned result = 0; + symbol x("x"); + ex chk; + + chk = asin(1)-acos(0); + if (!chk.is_zero()) { + clog << "asin(1)-acos(0) erroneously returned " << chk + << " instead of 0" << endl; + ++result; + } + + // arbitrary check of type sin(f(x)): + chk = pow(sin(acos(x)),2) + pow(sin(asin(x)),2) + - (1+pow(x,2))*pow(sin(atan(x)),2); + if (chk != 1-pow(x,2)) { + clog << "sin(acos(x))^2 + sin(asin(x))^2 - (1+x^2)*sin(atan(x))^2 " + << "erroneously returned " << chk << " instead of 1-x^2" << endl; + ++result; + } + + // arbitrary check of type cos(f(x)): + chk = pow(cos(acos(x)),2) + pow(cos(asin(x)),2) + - (1+pow(x,2))*pow(cos(atan(x)),2); + if (!chk.is_zero()) { + clog << "cos(acos(x))^2 + cos(asin(x))^2 - (1+x^2)*cos(atan(x))^2 " + << "erroneously returned " << chk << " instead of 0" << endl; + ++result; + } + + // arbitrary check of type tan(f(x)): + chk = tan(acos(x))*tan(asin(x)) - tan(atan(x)); + if (chk != 1-x) { + clog << "tan(acos(x))*tan(asin(x)) - tan(atan(x)) " + << "erroneously returned " << chk << " instead of -x+1" << endl; + ++result; + } + + // arbitrary check of type sinh(f(x)): + chk = -pow(sinh(acosh(x)),2).expand()*pow(sinh(atanh(x)),2) + - pow(sinh(asinh(x)),2); + if (!chk.is_zero()) { + clog << "expand(-(sinh(acosh(x)))^2)*(sinh(atanh(x))^2) - sinh(asinh(x))^2 " + << "erroneously returned " << chk << " instead of 0" << endl; + ++result; + } + + // arbitrary check of type cosh(f(x)): + chk = (pow(cosh(asinh(x)),2) - 2*pow(cosh(acosh(x)),2)) + * pow(cosh(atanh(x)),2); + if (chk != 1) { + clog << "(cosh(asinh(x))^2 - 2*cosh(acosh(x))^2) * cosh(atanh(x))^2 " + << "erroneously returned " << chk << " instead of 1" << endl; + ++result; + } + + // arbitrary check of type tanh(f(x)): + chk = (pow(tanh(asinh(x)),-2) - pow(tanh(acosh(x)),2)).expand() + * pow(tanh(atanh(x)),2); + if (chk != 2) { + clog << "expand(tanh(acosh(x))^2 - tanh(asinh(x))^(-2)) * tanh(atanh(x))^2 " + << "erroneously returned " << chk << " instead of 2" << endl; + ++result; + } + + return result; +} + +/* Simple tests on the Gamma function. We stuff in arguments where the results + * exists in closed form and check if it's ok. */ +static unsigned inifcns_consist_gamma(void) +{ + unsigned result = 0; + ex e; + + e = gamma(ex(1)); + for (int i=2; i<8; ++i) + e += gamma(ex(i)); + if (e != numeric(874)) { + clog << "gamma(1)+...+gamma(7) erroneously returned " + << e << " instead of 874" << endl; + ++result; + } + + e = gamma(ex(1)); + for (int i=2; i<8; ++i) + e *= gamma(ex(i)); + if (e != numeric(24883200)) { + clog << "gamma(1)*...*gamma(7) erroneously returned " + << e << " instead of 24883200" << endl; + ++result; + } + + e = gamma(ex(numeric(5, 2)))*gamma(ex(numeric(9, 2)))*64; + if (e != 315*Pi) { + clog << "64*gamma(5/2)*gamma(9/2) erroneously returned " + << e << " instead of 315*Pi" << endl; + ++result; + } + + e = gamma(ex(numeric(-13, 2))); + for (int i=-13; i<7; i=i+2) + e += gamma(ex(numeric(i, 2))); + e = (e*gamma(ex(numeric(15, 2)))*numeric(512)); + if (e != numeric(633935)*Pi) { + clog << "512*(gamma(-13/2)+...+gamma(5/2))*gamma(15/2) erroneously returned " + << e << " instead of 633935*Pi" << endl; + ++result; + } + + return result; +} + +/* Simple tests on the Psi-function (aka polygamma-function). We stuff in + arguments where the result exists in closed form and check if it's ok. */ +static unsigned inifcns_consist_psi(void) +{ + unsigned result = 0; + symbol x; + ex e, f; + + // We check psi(1) and psi(1/2) implicitly by calculating the curious + // little identity gamma(1)'/gamma(1) - gamma(1/2)'/gamma(1/2) == 2*log(2). + e += (gamma(x).diff(x)/gamma(x)).subs(x==numeric(1)); + e -= (gamma(x).diff(x)/gamma(x)).subs(x==numeric(1,2)); + if (e!=2*log(2)) { + clog << "gamma(1)'/gamma(1) - gamma(1/2)'/gamma(1/2) erroneously returned " + << e << " instead of 2*log(2)" << endl; + ++result; + } + + return result; +} + +/* Simple tests on the Riemann Zeta function. We stuff in arguments where the + * result exists in closed form and check if it's ok. Of course, this checks + * the Bernoulli numbers as a side effect. */ +static unsigned inifcns_consist_zeta(void) +{ + unsigned result = 0; + ex e; + + for (int i=0; i<13; i+=2) + e += zeta(i)/pow(Pi,i); + if (e!=numeric(-204992279,638512875)) { + clog << "zeta(0) + zeta(2) + ... + zeta(12) erroneously returned " + << e << " instead of -204992279/638512875" << endl; + ++result; + } + + e = 0; + for (int i=-1; i>-16; i--) + e += zeta(i); + if (e!=numeric(487871,1633632)) { + clog << "zeta(-1) + zeta(-2) + ... + zeta(-15) erroneously returned " + << e << " instead of 487871/1633632" << endl; + ++result; + } + + return result; +} + +unsigned exam_inifcns(void) +{ + unsigned result = 0; + + cout << "examining consistency of symbolic functions" << flush; + clog << "----------consistency of symbolic functions:" << endl; + + result += inifcns_consist_trans(); cout << '.' << flush; + result += inifcns_consist_gamma(); cout << '.' << flush; + result += inifcns_consist_psi(); cout << '.' << flush; + result += inifcns_consist_zeta(); cout << '.' << flush; + + if (!result) { + cout << " passed " << endl; + clog << "(no output)" << endl; + } else { + cout << " failed " << endl; + } + + return result; +} diff --git a/check/exams.cpp b/check/exams.cpp index 01453c40..5aa327ae 100644 --- a/check/exams.cpp +++ b/check/exams.cpp @@ -50,6 +50,13 @@ int main() ++result; } + try { + result += exam_inifcns(); + } catch (const exception &e) { + cout << "Error: caught exception " << e.what() << endl; + ++result; + } + try { result += exam_differentiation(); } catch (const exception &e) { diff --git a/check/exams.h b/check/exams.h index 3582d538..cd5f4b9b 100644 --- a/check/exams.h +++ b/check/exams.h @@ -33,6 +33,7 @@ using namespace GiNaC; unsigned exam_paranoia(); unsigned exam_numeric(); unsigned exam_powerlaws(); +unsigned exam_inifcns(); unsigned exam_differentiation(); unsigned exam_polygcd(); unsigned exam_normalization(); diff --git a/check/exams.ref b/check/exams.ref index e15e241a..51e47b22 100644 --- a/check/exams.ref +++ b/check/exams.ref @@ -4,6 +4,8 @@ (no output) ----------power laws: (no output) +----------consistency of symbolic functions: +(no output) ----------symbolic differentiation: (no output) ----------polynomial GCD computation: -- 2.44.0