to the checks.
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
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
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 \
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)
#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;
}
/* Simple tests on the cosine trigonometric function. */
-static unsigned inifcns_consist_cos(void)
+static unsigned inifcns_check_cos(void)
{
unsigned result = 0;
bool errorflag;
}
/* Simple tests on the tangent trigonometric function. */
-static unsigned inifcns_consist_tan(void)
+static unsigned inifcns_check_tan(void)
{
unsigned result = 0;
bool errorflag;
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;
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;
--- /dev/null
+/** @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;
+}
++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) {
unsigned exam_paranoia();
unsigned exam_numeric();
unsigned exam_powerlaws();
+unsigned exam_inifcns();
unsigned exam_differentiation();
unsigned exam_polygcd();
unsigned exam_normalization();
(no output)
----------power laws:
(no output)
+----------consistency of symbolic functions:
+(no output)
----------symbolic differentiation:
(no output)
----------polynomial GCD computation:
git://www.ginac.de / ginac.git / commitdiff