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-rw-r--r--libm/double/dtestvec.c543
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diff --git a/libm/double/dtestvec.c b/libm/double/dtestvec.c
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--- /dev/null
+++ b/libm/double/dtestvec.c
@@ -0,0 +1,543 @@
+
+/* 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;
+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;
+static double INF, MINF;
+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);
+}
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