uClibc now has a math library. muahahahaha!

 -Erik

1 files changed, 543 insertions, 0 deletions

diff --git a/libm/double/dtestvec.c b/libm/double/dtestvec.c
new file mode 100644
index 000000000..ea494029b
--- /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);
+}