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#include <goffice/goffice.h>
#define REFTEST(a_,f_,r_, txt_) \
do { \
double a = (a_); \
double r = (r_); \
double fa = f_(a); \
g_printerr ("%s(%g) = %g [%g]\n", \
txt_, a, fa, r); \
g_assert (copysign (1,r) == copysign (1,fa)); \
if (isnan (r)) \
g_assert (isnan (fa)); \
else if (r == floor (r)) \
g_assert (r == fa); \
else \
g_assert (fabs (r - fa) / fabs (r) < 1e-14); \
} while (0)
#define REFTEST2(a_,b_,f_,r_, txt_) \
do { \
double a = (a_); \
double b = (b_); \
double r = (r_); \
double fab = f_(a, b); \
g_printerr ("%s(%g,%g) = %g [%g]\n", \
txt_, a, b, fab, r); \
g_assert (copysign (1,r) == copysign(1,fab)); \
if (r * 256 == floor (r * 256)) \
g_assert (r == fab); \
else \
g_assert (fabs (r - fab) / fabs (r) < 1e-14); \
} while (0)
#ifdef GOFFICE_WITH_LONG_DOUBLE
#define REFTESTl(a_,f_,r_, txt_) \
do { \
long double a = (a_); \
long double r = (r_); \
long double fa = f_(a); \
g_printerr ("%s(%Lg) = %Lg [%Lg]\n", \
txt_, a, fa, r); \
g_assert (copysignl (1,r) == copysignl (1,fa)); \
if (isnanl (r)) \
g_assert (isnanl (fa)); \
else if (r == floorl (r)) \
g_assert (r == fa); \
else \
g_assert (fabsl (r - fa) / fabsl (r) < 1e-14); \
} while (0)
#define REFTEST2l(a_,b_,f_,r_, txt_) \
do { \
long double a = (a_); \
long double b = (b_); \
long double r = (r_); \
long double fab = f_(a, b); \
g_printerr ("%s(%Lg,%Lg) = %Lg [%Lg]\n", \
txt_, a, b, fab, r); \
g_assert (copysignl (1,r) == copysignl(1,fab)); \
if (r * 256 == floorl (r * 256)) \
g_assert (r == fab); \
else \
g_assert (fabsl (r - fab) / fabsl (r) < 1e-14); \
} while (0)
#else
#define REFTESTl(a_,f_,r_, txt_)
#define REFTEST2l(a_,b_,f_,r_, txt_)
#endif
/* ------------------------------------------------------------------------- */
static double fake_sinpi (double x) { return x == floor (x) ? copysign(0,x) : sin (x * M_PI); }
static double fake_cospi (double x) { return x + 0.5 == floor (x + 0.5) ? +0 : cos (x * M_PI); }
static double fake_tanpi (double x) { x = fmod(x,1); return x + 0.5 == floor (x + 0.5) ? copysign (go_nan,x) : tan (x * M_PI); }
static double fake_cotpi (double x) { x = fmod(x,1); return x == 0 ? copysign (go_nan,x) : fake_cospi (x) / fake_sinpi (x); }
static double fake_atanpi (double x) { return atan (x) / M_PI; }
static double fake_atan2pi (double y, double x) { return atan2 (y,x) / M_PI; }
#define TEST1(a_) do { \
REFTEST(a_,go_sinpi,fake_sinpi(a_),"sinpi"); \
REFTEST(a_,go_cospi,fake_cospi(a_),"cospi"); \
REFTEST(a_,go_tanpi,fake_tanpi(a_),"tanpi"); \
REFTEST(a_,go_cotpi,fake_cotpi(a_),"cotpi"); \
REFTEST(a_,go_atanpi,fake_atanpi(a_),"atanpi"); \
\
REFTESTl(a_,go_sinpil,fake_sinpi(a_),"sinpil"); \
REFTESTl(a_,go_cospil,fake_cospi(a_),"cospil"); \
REFTESTl(a_,go_tanpil,fake_tanpi(a_),"tanpil"); \
REFTESTl(a_,go_cotpil,fake_cotpi(a_),"cotpil"); \
REFTESTl(a_,go_atanpil,fake_atanpi(a_),"atanpil"); \
} while (0)
#define TEST2(a_,b_) do { \
REFTEST2(a_,b_,go_atan2pi,fake_atan2pi(a_,b_),"atan2pi"); \
REFTEST2l(a_,b_,go_atan2pil,fake_atan2pi(a_,b_),"atan2pil"); \
} while (0)
static void
trig_tests (void)
{
double d;
for (d = 0; d < 5; d += 0.125) {
TEST1(d);
TEST1(-d);
}
TEST2 (0, +2);
TEST2 (0, -2);
TEST2 (3, 0);
TEST2 (-3, 0);
TEST2 (0, 0);
TEST2 (+1, +1);
TEST2 (-1, +1);
TEST2 (+1, -1);
TEST2 (-1, -1);
TEST2 (+2.3, +1.2);
TEST2 (+2.3, -1.2);
TEST2 (+2.3, +0.2);
TEST2 (+2.3, -0.2);
TEST2 (+0.2, +2.3);
TEST2 (+0.2, -2.3);
TEST2 (+2.3, +3);
TEST2 (+2.3, -3);
TEST2 (-2.3, +3);
TEST2 (-2.3, -3);
TEST2 (+2.3, +4);
TEST2 (+2.3, -4);
TEST2 (-2.3, +4);
TEST2 (-2.3, -4);
TEST2 (2, 100);
TEST2 (2, -100);
TEST2 (1.0/256, 1.0/1024);
TEST2 (exp(1), 1);
TEST2 (exp(1), -1);
TEST2 (exp(1), log(2));
TEST2 (exp(1), -log(2));
/* Since the results are n/4 these are tested exactly. */
REFTEST2(0,1,go_atan2pi,0,"atan2pi");
REFTEST2(1,1,go_atan2pi,0.25,"atan2pi");
REFTEST2(1,0,go_atan2pi,0.5,"atan2pi");
REFTEST2(1,-1,go_atan2pi,0.75,"atan2pi");
REFTEST2(0,-1,go_atan2pi,1,"atan2pi");
REFTEST2(-1,1,go_atan2pi,-0.25,"atan2pi");
REFTEST2(-1,0,go_atan2pi,-0.5,"atan2pi");
REFTEST2(-1,-1,go_atan2pi,-0.75,"atan2pi");
/* Since the results are n/4 these are tested exactly. */
REFTEST2l(0,1,go_atan2pil,0,"atan2pil");
REFTEST2l(1,1,go_atan2pil,0.25,"atan2pil");
REFTEST2l(1,0,go_atan2pil,0.5,"atan2pil");
REFTEST2l(1,-1,go_atan2pil,0.75,"atan2pil");
REFTEST2l(0,-1,go_atan2pil,1,"atan2pil");
REFTEST2l(-1,1,go_atan2pil,-0.25,"atan2pil");
REFTEST2l(-1,0,go_atan2pil,-0.5,"atan2pil");
REFTEST2l(-1,-1,go_atan2pil,-0.75,"atan2pil");
}
#undef TEST1
#undef TEST2
/* ------------------------------------------------------------------------- */
int
main (int argc, char **argv)
{
libgoffice_init ();
trig_tests ();
libgoffice_shutdown ();
return 0;
}
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