rtt-f030/components/external/espruino/libs/math/dtestvec.c

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2014-02-25 01:47:49 +08:00
/* Test vectors for math functions.
See C9X section F.9. */
/*
Cephes Math Library Release 2.8: June, 2000
Copyright 1998, 2000 by Stephen L. Moshier
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int isfinite (double);
/* C9X spells lgam lgamma. */
#define GLIBC2 0
extern double PI;
const static double MPI, PIO2, MPIO2, PIO4, MPIO4, THPIO4, MTHPIO4;
#if 0
#define PI 3.141592653589793238463E0
#define PIO2 1.570796326794896619231E0
#define PIO4 7.853981633974483096157E-1
#define THPIO4 2.35619449019234492884698
#define SQRT2 1.414213562373095048802E0
#define SQRTH 7.071067811865475244008E-1
#define INF (1.0/0.0)
#define MINF (-1.0/0.0)
#endif
extern double MACHEP, SQRTH, SQRT2;
extern double NAN, INFINITY, NEGZERO;
const static double INF, MINF;
const static double ZERO, MZERO, HALF, MHALF, ONE, MONE, TWO, MTWO, THREE, MTHREE;
/* #define NAN (1.0/0.0 - 1.0/0.0) */
/* Functions of one variable. */
double log (double);
double exp ( double);
double atan (double);
double sin (double);
double cos (double);
double tan (double);
double acos (double);
double asin (double);
double acosh (double);
double asinh (double);
double atanh (double);
double sinh (double);
double cosh (double);
double tanh (double);
double exp2 (double);
double expm1 (double);
double log10 (double);
double log1p (double);
double log2 (double);
double fabs (double);
double erf (double);
double erfc (double);
double gamma (double);
double floor (double);
double ceil (double);
double cbrt (double);
#if GLIBC2
double lgamma (double);
#else
double lgam (double);
#endif
struct oneargument
{
char *name; /* Name of the function. */
double (*func) (double);
double *arg1;
double *answer;
int thresh; /* Error report threshold. */
};
struct oneargument test1[] =
{
{"atan", atan, &ONE, &PIO4, 0},
{"sin", sin, &PIO2, &ONE, 0},
#if 0
{"cos", cos, &PIO4, &SQRTH, 0},
{"sin", sin, 32767., 1.8750655394138942394239E-1, 0},
{"cos", cos, 32767., 9.8226335176928229845654E-1, 0},
{"tan", tan, 32767., 1.9089234430221485740826E-1, 0},
{"sin", sin, 8388607., 9.9234509376961249835628E-1, 0},
{"cos", cos, 8388607., -1.2349580912475928183718E-1, 0},
{"tan", tan, 8388607., -8.0354556223613614748329E0, 0},
/*
{"sin", sin, 2147483647., -7.2491655514455639054829E-1, 0},
{"cos", cos, 2147483647., -6.8883669187794383467976E-1, 0},
{"tan", tan, 2147483647., 1.0523779637351339136698E0, 0},
*/
{"cos", cos, &PIO2, 6.1232339957367574e-17, 1},
{"sin", sin, &PIO4, &SQRTH, 1},
#endif
{"acos", acos, &NAN, &NAN, 0},
{"acos", acos, &ONE, &ZERO, 0},
{"acos", acos, &TWO, &NAN, 0},
{"acos", acos, &MTWO, &NAN, 0},
{"asin", asin, &NAN, &NAN, 0},
{"asin", asin, &ZERO, &ZERO, 0},
{"asin", asin, &MZERO, &MZERO, 0},
{"asin", asin, &TWO, &NAN, 0},
{"asin", asin, &MTWO, &NAN, 0},
{"atan", atan, &NAN, &NAN, 0},
{"atan", atan, &ZERO, &ZERO, 0},
{"atan", atan, &MZERO, &MZERO, 0},
{"atan", atan, &INF, &PIO2, 0},
{"atan", atan, &MINF, &MPIO2, 0},
{"cos", cos, &NAN, &NAN, 0},
{"cos", cos, &ZERO, &ONE, 0},
{"cos", cos, &MZERO, &ONE, 0},
{"cos", cos, &INF, &NAN, 0},
{"cos", cos, &MINF, &NAN, 0},
{"sin", sin, &NAN, &NAN, 0},
{"sin", sin, &MZERO, &MZERO, 0},
{"sin", sin, &ZERO, &ZERO, 0},
{"sin", sin, &INF, &NAN, 0},
{"sin", sin, &MINF, &NAN, 0},
{"tan", tan, &NAN, &NAN, 0},
{"tan", tan, &ZERO, &ZERO, 0},
{"tan", tan, &MZERO, &MZERO, 0},
{"tan", tan, &INF, &NAN, 0},
{"tan", tan, &MINF, &NAN, 0},
{"acosh", acosh, &NAN, &NAN, 0},
{"acosh", acosh, &ONE, &ZERO, 0},
{"acosh", acosh, &INF, &INF, 0},
{"acosh", acosh, &HALF, &NAN, 0},
{"acosh", acosh, &MONE, &NAN, 0},
{"asinh", asinh, &NAN, &NAN, 0},
{"asinh", asinh, &ZERO, &ZERO, 0},
{"asinh", asinh, &MZERO, &MZERO, 0},
{"asinh", asinh, &INF, &INF, 0},
{"asinh", asinh, &MINF, &MINF, 0},
{"atanh", atanh, &NAN, &NAN, 0},
{"atanh", atanh, &ZERO, &ZERO, 0},
{"atanh", atanh, &MZERO, &MZERO, 0},
{"atanh", atanh, &ONE, &INF, 0},
{"atanh", atanh, &MONE, &MINF, 0},
{"atanh", atanh, &TWO, &NAN, 0},
{"atanh", atanh, &MTWO, &NAN, 0},
{"cosh", cosh, &NAN, &NAN, 0},
{"cosh", cosh, &ZERO, &ONE, 0},
{"cosh", cosh, &MZERO, &ONE, 0},
{"cosh", cosh, &INF, &INF, 0},
{"cosh", cosh, &MINF, &INF, 0},
{"sinh", sinh, &NAN, &NAN, 0},
{"sinh", sinh, &ZERO, &ZERO, 0},
{"sinh", sinh, &MZERO, &MZERO, 0},
{"sinh", sinh, &INF, &INF, 0},
{"sinh", sinh, &MINF, &MINF, 0},
{"tanh", tanh, &NAN, &NAN, 0},
{"tanh", tanh, &ZERO, &ZERO, 0},
{"tanh", tanh, &MZERO, &MZERO, 0},
{"tanh", tanh, &INF, &ONE, 0},
{"tanh", tanh, &MINF, &MONE, 0},
{"exp", exp, &NAN, &NAN, 0},
{"exp", exp, &ZERO, &ONE, 0},
{"exp", exp, &MZERO, &ONE, 0},
{"exp", exp, &INF, &INF, 0},
{"exp", exp, &MINF, &ZERO, 0},
#if !GLIBC2
{"exp2", exp2, &NAN, &NAN, 0},
{"exp2", exp2, &ZERO, &ONE, 0},
{"exp2", exp2, &MZERO, &ONE, 0},
{"exp2", exp2, &INF, &INF, 0},
{"exp2", exp2, &MINF, &ZERO, 0},
#endif
{"expm1", expm1, &NAN, &NAN, 0},
{"expm1", expm1, &ZERO, &ZERO, 0},
{"expm1", expm1, &MZERO, &MZERO, 0},
{"expm1", expm1, &INF, &INF, 0},
{"expm1", expm1, &MINF, &MONE, 0},
{"log", log, &NAN, &NAN, 0},
{"log", log, &ZERO, &MINF, 0},
{"log", log, &MZERO, &MINF, 0},
{"log", log, &ONE, &ZERO, 0},
{"log", log, &MONE, &NAN, 0},
{"log", log, &INF, &INF, 0},
{"log10", log10, &NAN, &NAN, 0},
{"log10", log10, &ZERO, &MINF, 0},
{"log10", log10, &MZERO, &MINF, 0},
{"log10", log10, &ONE, &ZERO, 0},
{"log10", log10, &MONE, &NAN, 0},
{"log10", log10, &INF, &INF, 0},
{"log1p", log1p, &NAN, &NAN, 0},
{"log1p", log1p, &ZERO, &ZERO, 0},
{"log1p", log1p, &MZERO, &MZERO, 0},
{"log1p", log1p, &MONE, &MINF, 0},
{"log1p", log1p, &MTWO, &NAN, 0},
{"log1p", log1p, &INF, &INF, 0},
#if !GLIBC2
{"log2", log2, &NAN, &NAN, 0},
{"log2", log2, &ZERO, &MINF, 0},
{"log2", log2, &MZERO, &MINF, 0},
{"log2", log2, &MONE, &NAN, 0},
{"log2", log2, &INF, &INF, 0},
#endif
/* {"fabs", fabs, NAN, NAN, 0}, */
{"fabs", fabs, &ONE, &ONE, 0},
{"fabs", fabs, &MONE, &ONE, 0},
{"fabs", fabs, &ZERO, &ZERO, 0},
{"fabs", fabs, &MZERO, &ZERO, 0},
{"fabs", fabs, &INF, &INF, 0},
{"fabs", fabs, &MINF, &INF, 0},
{"cbrt", cbrt, &NAN, &NAN, 0},
{"cbrt", cbrt, &ZERO, &ZERO, 0},
{"cbrt", cbrt, &MZERO, &MZERO, 0},
{"cbrt", cbrt, &INF, &INF, 0},
{"cbrt", cbrt, &MINF, &MINF, 0},
{"erf", erf, &NAN, &NAN, 0},
{"erf", erf, &ZERO, &ZERO, 0},
{"erf", erf, &MZERO, &MZERO, 0},
{"erf", erf, &INF, &ONE, 0},
{"erf", erf, &MINF, &MONE, 0},
{"erfc", erfc, &NAN, &NAN, 0},
{"erfc", erfc, &INF, &ZERO, 0},
{"erfc", erfc, &MINF, &TWO, 0},
{"gamma", gamma, &NAN, &NAN, 0},
{"gamma", gamma, &INF, &INF, 0},
{"gamma", gamma, &MONE, &NAN, 0},
{"gamma", gamma, &ZERO, &NAN, 0},
{"gamma", gamma, &MINF, &NAN, 0},
#if GLIBC2
{"lgamma", lgamma, &NAN, &NAN, 0},
{"lgamma", lgamma, &INF, &INF, 0},
{"lgamma", lgamma, &MONE, &INF, 0},
{"lgamma", lgamma, &ZERO, &INF, 0},
{"lgamma", lgamma, &MINF, &INF, 0},
#else
{"lgam", lgam, &NAN, &NAN, 0},
{"lgam", lgam, &INF, &INF, 0},
{"lgam", lgam, &MONE, &INF, 0},
{"lgam", lgam, &ZERO, &INF, 0},
{"lgam", lgam, &MINF, &INF, 0},
#endif
{"ceil", ceil, &NAN, &NAN, 0},
{"ceil", ceil, &ZERO, &ZERO, 0},
{"ceil", ceil, &MZERO, &MZERO, 0},
{"ceil", ceil, &INF, &INF, 0},
{"ceil", ceil, &MINF, &MINF, 0},
{"floor", floor, &NAN, &NAN, 0},
{"floor", floor, &ZERO, &ZERO, 0},
{"floor", floor, &MZERO, &MZERO, 0},
{"floor", floor, &INF, &INF, 0},
{"floor", floor, &MINF, &MINF, 0},
{"null", NULL, &ZERO, &ZERO, 0},
};
/* Functions of two variables. */
double atan2 (double, double);
double pow (double, double);
struct twoarguments
{
char *name; /* Name of the function. */
double (*func) (double, double);
double *arg1;
double *arg2;
double *answer;
int thresh;
};
struct twoarguments test2[] =
{
{"atan2", atan2, &ZERO, &ONE, &ZERO, 0},
{"atan2", atan2, &MZERO, &ONE, &MZERO, 0},
{"atan2", atan2, &ZERO, &ZERO, &ZERO, 0},
{"atan2", atan2, &MZERO, &ZERO, &MZERO, 0},
{"atan2", atan2, &ZERO, &MONE, &PI, 0},
{"atan2", atan2, &MZERO, &MONE, &MPI, 0},
{"atan2", atan2, &ZERO, &MZERO, &PI, 0},
{"atan2", atan2, &MZERO, &MZERO, &MPI, 0},
{"atan2", atan2, &ONE, &ZERO, &PIO2, 0},
{"atan2", atan2, &ONE, &MZERO, &PIO2, 0},
{"atan2", atan2, &MONE, &ZERO, &MPIO2, 0},
{"atan2", atan2, &MONE, &MZERO, &MPIO2, 0},
{"atan2", atan2, &ONE, &INF, &ZERO, 0},
{"atan2", atan2, &MONE, &INF, &MZERO, 0},
{"atan2", atan2, &INF, &ONE, &PIO2, 0},
{"atan2", atan2, &INF, &MONE, &PIO2, 0},
{"atan2", atan2, &MINF, &ONE, &MPIO2, 0},
{"atan2", atan2, &MINF, &MONE, &MPIO2, 0},
{"atan2", atan2, &ONE, &MINF, &PI, 0},
{"atan2", atan2, &MONE, &MINF, &MPI, 0},
{"atan2", atan2, &INF, &INF, &PIO4, 0},
{"atan2", atan2, &MINF, &INF, &MPIO4, 0},
{"atan2", atan2, &INF, &MINF, &THPIO4, 0},
{"atan2", atan2, &MINF, &MINF, &MTHPIO4, 0},
{"atan2", atan2, &ONE, &ONE, &PIO4, 0},
{"atan2", atan2, &NAN, &ONE, &NAN, 0},
{"atan2", atan2, &ONE, &NAN, &NAN, 0},
{"atan2", atan2, &NAN, &NAN, &NAN, 0},
{"pow", pow, &ONE, &ZERO, &ONE, 0},
{"pow", pow, &ONE, &MZERO, &ONE, 0},
{"pow", pow, &MONE, &ZERO, &ONE, 0},
{"pow", pow, &MONE, &MZERO, &ONE, 0},
{"pow", pow, &INF, &ZERO, &ONE, 0},
{"pow", pow, &INF, &MZERO, &ONE, 0},
{"pow", pow, &NAN, &ZERO, &ONE, 0},
{"pow", pow, &NAN, &MZERO, &ONE, 0},
{"pow", pow, &TWO, &INF, &INF, 0},
{"pow", pow, &MTWO, &INF, &INF, 0},
{"pow", pow, &HALF, &INF, &ZERO, 0},
{"pow", pow, &MHALF, &INF, &ZERO, 0},
{"pow", pow, &TWO, &MINF, &ZERO, 0},
{"pow", pow, &MTWO, &MINF, &ZERO, 0},
{"pow", pow, &HALF, &MINF, &INF, 0},
{"pow", pow, &MHALF, &MINF, &INF, 0},
{"pow", pow, &INF, &HALF, &INF, 0},
{"pow", pow, &INF, &TWO, &INF, 0},
{"pow", pow, &INF, &MHALF, &ZERO, 0},
{"pow", pow, &INF, &MTWO, &ZERO, 0},
{"pow", pow, &MINF, &THREE, &MINF, 0},
{"pow", pow, &MINF, &TWO, &INF, 0},
{"pow", pow, &MINF, &MTHREE, &MZERO, 0},
{"pow", pow, &MINF, &MTWO, &ZERO, 0},
{"pow", pow, &NAN, &ONE, &NAN, 0},
{"pow", pow, &ONE, &NAN, &NAN, 0},
{"pow", pow, &NAN, &NAN, &NAN, 0},
{"pow", pow, &ONE, &INF, &NAN, 0},
{"pow", pow, &MONE, &INF, &NAN, 0},
{"pow", pow, &ONE, &MINF, &NAN, 0},
{"pow", pow, &MONE, &MINF, &NAN, 0},
{"pow", pow, &MTWO, &HALF, &NAN, 0},
{"pow", pow, &ZERO, &MTHREE, &INF, 0},
{"pow", pow, &MZERO, &MTHREE, &MINF, 0},
{"pow", pow, &ZERO, &MHALF, &INF, 0},
{"pow", pow, &MZERO, &MHALF, &INF, 0},
{"pow", pow, &ZERO, &THREE, &ZERO, 0},
{"pow", pow, &MZERO, &THREE, &MZERO, 0},
{"pow", pow, &ZERO, &HALF, &ZERO, 0},
{"pow", pow, &MZERO, &HALF, &ZERO, 0},
{"null", NULL, &ZERO, &ZERO, &ZERO, 0},
};
/* Integer functions of one variable. */
int isnan (double);
int signbit (double);
struct intans
{
char *name; /* Name of the function. */
int (*func) (double);
double *arg1;
int ianswer;
};
struct intans test3[] =
{
{"isfinite", isfinite, &ZERO, 1},
{"isfinite", isfinite, &INF, 0},
{"isfinite", isfinite, &MINF, 0},
{"isnan", isnan, &NAN, 1},
{"isnan", isnan, &INF, 0},
{"isnan", isnan, &ZERO, 0},
{"isnan", isnan, &MZERO, 0},
{"signbit", signbit, &MZERO, 1},
{"signbit", signbit, &MONE, 1},
{"signbit", signbit, &ZERO, 0},
{"signbit", signbit, &ONE, 0},
{"signbit", signbit, &MINF, 1},
{"signbit", signbit, &INF, 0},
{"null", NULL, &ZERO, 0},
};
static volatile double x1;
static volatile double x2;
static volatile double y;
static volatile double answer;
void
pvec(x)
double x;
{
union
{
double d;
unsigned short s[4];
} u;
int i;
u.d = x;
for (i = 0; i < 4; i++)
printf ("0x%04x ", u.s[i]);
printf ("\n");
}
int
main ()
{
int i, nerrors, k, ianswer, ntests;
double (*fun1) (double);
double (*fun2) (double, double);
int (*fun3) (double);
double e;
union
{
double d;
char c[8];
} u, v;
ZERO = 0.0;
MZERO = NEGZERO;
HALF = 0.5;
MHALF = -HALF;
ONE = 1.0;
MONE = -ONE;
TWO = 2.0;
MTWO = -TWO;
THREE = 3.0;
MTHREE = -THREE;
INF = INFINITY;
MINF = -INFINITY;
MPI = -PI;
PIO2 = 0.5 * PI;
MPIO2 = -PIO2;
PIO4 = 0.5 * PIO2;
MPIO4 = -PIO4;
THPIO4 = 3.0 * PIO4;
MTHPIO4 = -THPIO4;
nerrors = 0;
ntests = 0;
i = 0;
for (;;)
{
fun1 = test1[i].func;
if (fun1 == NULL)
break;
x1 = *(test1[i].arg1);
y = (*(fun1)) (x1);
answer = *(test1[i].answer);
if (test1[i].thresh == 0)
{
v.d = answer;
u.d = y;
if (memcmp(u.c, v.c, 8) != 0)
{
if( isnan(v.d) && isnan(u.d) )
goto nxttest1;
goto wrongone;
}
else
goto nxttest1;
}
if (y != answer)
{
e = y - answer;
if (answer != 0.0)
e = e / answer;
if (e < 0)
e = -e;
if (e > test1[i].thresh * MACHEP)
{
wrongone:
printf ("%s (%.16e) = %.16e\n should be %.16e\n",
test1[i].name, x1, y, answer);
nerrors += 1;
}
}
nxttest1:
ntests += 1;
i += 1;
}
i = 0;
for (;;)
{
fun2 = test2[i].func;
if (fun2 == NULL)
break;
x1 = *(test2[i].arg1);
x2 = *(test2[i].arg2);
y = (*(fun2)) (x1, x2);
answer = *(test2[i].answer);
if (test2[i].thresh == 0)
{
v.d = answer;
u.d = y;
if (memcmp(u.c, v.c, 8) != 0)
{
if( isnan(v.d) && isnan(u.d) )
goto nxttest2;
#if 0
if( isnan(v.d) )
pvec(v.d);
if( isnan(u.d) )
pvec(u.d);
#endif
goto wrongtwo;
}
else
goto nxttest2;
}
if (y != answer)
{
e = y - answer;
if (answer != 0.0)
e = e / answer;
if (e < 0)
e = -e;
if (e > test2[i].thresh * MACHEP)
{
wrongtwo:
printf ("%s (%.16e, %.16e) = %.16e\n should be %.16e\n",
test2[i].name, x1, x2, y, answer);
nerrors += 1;
}
}
nxttest2:
ntests += 1;
i += 1;
}
i = 0;
for (;;)
{
fun3 = test3[i].func;
if (fun3 == NULL)
break;
x1 = *(test3[i].arg1);
k = (*(fun3)) (x1);
ianswer = test3[i].ianswer;
if (k != ianswer)
{
printf ("%s (%.16e) = %d\n should be. %d\n",
test3[i].name, x1, k, ianswer);
nerrors += 1;
}
ntests += 1;
i += 1;
}
printf ("testvect: %d errors in %d tests\n", nerrors, ntests);
exit (0);
}