add test file for pow

git-svn-id: svn://scm.gforge.inria.fr/svn/mpfr/trunk@1314 280ebfd0-de03-0410-8827-d642c229c3f4

1 files changed, 423 insertions, 0 deletions

diff --git a/tests/tpow3.c b/tests/tpow3.c
new file mode 100644
index 000000000..7555871c5
--- /dev/null
+++ b/tests/tpow3.c
@@ -0,0 +1,423 @@
+/* Test file for mpfr_ui_pow.
+
+Copyright (C) 2001 Free Software Foundation.
+Adapted from tarctan.c.
+
+This file is part of the MPFR Library.
+
+The MPFR Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Library General Public License as published by
+the Free Software Foundation; either version 2 of the License, or (at your
+option) any later version.
+
+The MPFR Library 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the MPFR Library; see the file COPYING.LIB.  If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include <stdio.h>
+#include <limits.h>
+#include <stdlib.h>
+#include <gmp.h>
+#include "gmp-impl.h"
+#include <mpfr.h>
+#include "mpfr-impl.h"
+
+
+int
+main (int argc, char *argv[])
+{
+  mpfr_t x, y,z,ax;
+  long int iy;
+  mpfr_init (x);
+  mpfr_init (ax);
+  mpfr_init2 (y,sizeof(unsigned long int)*CHAR_BIT);
+  mpfr_init (z);
+
+
+  MPFR_SET_NAN(x);
+  mpfr_random(y);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if(!MPFR_IS_NAN(z))
+    {
+      printf ("evaluation of function in x=NAN does not return NAN");
+      exit (1);
+    }
+
+  MPFR_SET_NAN(y);
+  mpfr_random(x);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if(!MPFR_IS_NAN(z))
+    {
+      printf ("evaluation of function in y=NAN does not return NAN");
+      exit (1);
+    }
+
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  MPFR_SET_ZERO(y);
+  mpfr_random(x);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if(mpfr_cmp_ui(z,1)!=0 && !(MPFR_IS_NAN(x)))
+    {
+      printf ("evaluation of function in y=0 does not return 1\n");
+      printf ("x =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      exit (1);
+    }
+
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  MPFR_SET_INF(y); 
+  if (MPFR_SIGN(y) < 0)
+    MPFR_CHANGE_SIGN(y);
+  mpfr_random(x);
+  mpfr_init2(ax,MPFR_PREC(x));
+  mpfr_abs(ax,x,GMP_RNDN);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if( !MPFR_IS_INF(z) && (mpfr_cmp_ui(ax,1) > 0) )
+    {
+      printf ("evaluation of function in y=INF (|x|>1) does not return INF");
+      exit (1);
+    }
+  if( !MPFR_IS_ZERO(z) && (mpfr_cmp_ui(ax,1) < 0) )
+    {
+      printf ("\nevaluation of function in y=INF (|x|<1) does not return 0");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+      exit (1);
+    }
+
+
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  MPFR_SET_INF(y); 
+  if (MPFR_SIGN(y) > 0)
+    MPFR_CHANGE_SIGN(y);
+  mpfr_random(x);
+  mpfr_init2(ax,MPFR_PREC(x));
+  mpfr_abs(ax,x,GMP_RNDN);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if( !MPFR_IS_INF(z) && (mpfr_cmp_ui(ax,1) < 0) )
+    {
+      printf ("evaluation of function in y=INF (for |x| <0) does not return INF");
+      exit (1);
+    }
+  if( !MPFR_IS_ZERO(z) && (mpfr_cmp_ui(ax,1) > 0) )
+    {
+      printf ("evaluation of function in y=INF (for |x| >0) does not return 0");
+      exit (1);
+    }
+
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  MPFR_SET_INF(x);
+  if (MPFR_SIGN(x) < 0)
+    MPFR_CHANGE_SIGN(x);
+  mpfr_random(y);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0))
+    {
+      printf ("evaluation of function in INF does not return INF");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+      exit (1);
+    }
+  if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0))
+    {
+      printf ("evaluation of function in INF does not return INF");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+      exit (1);
+    }
+
+
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  MPFR_SET_INF(x);
+  if (MPFR_SIGN(x) > 0)
+    MPFR_CHANGE_SIGN(x);
+  mpfr_random(y);
+  if (random() % 2)
+    mpfr_neg (y, y, GMP_RNDN);
+   mpfr_pow (z, x,y, GMP_RNDN);
+  if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y)))
+    {
+      printf ("evaluation of function in x=-INF does not return INF");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+      if(mpfr_isinteger(y))
+        printf("y is an integer\n");
+      else
+        printf("y is not an integer\n");
+        
+      exit (1);
+    }
+  if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y)))
+    {
+      printf ("evaluation of function in x=-INF does not return 0");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+
+      if(mpfr_isinteger(y))
+        printf("y is an integer\n");
+      else
+        printf("y is not an integer\n");
+
+      exit (1);
+    }
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  MPFR_SET_INF(x);
+  if (MPFR_SIGN(x) > 0)
+    MPFR_CHANGE_SIGN(x);
+
+  iy=random();
+  mpfr_random(y);
+  if (random() % 2)
+    iy=-iy;
+  mpfr_set_d(y,iy,GMP_RNDN);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y)))
+    {
+      printf ("evaluation of function in x=-INF does not return INF");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+      if(mpfr_isinteger(y))
+        printf("y is an integer\n");
+      else
+        printf("y is not an integer\n");
+        
+      exit (1);
+    }
+  if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y)))
+    {
+      printf ("evaluation of function in x=-INF does not return 0");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+
+      if(mpfr_isinteger(y))
+        printf("y is an integer\n");
+      else
+        printf("y is not an integer\n");
+
+      exit (1);
+    }
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  mpfr_set_ui(x,1,GMP_RNDN);
+  MPFR_SET_INF(y);
+  mpfr_pow (z, x,y, GMP_RNDN);
+  if(!MPFR_IS_NAN(z))
+    {
+      printf ("evaluation of function in x=1, y=INF does not return NAN");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+
+      exit (1);
+    }
+
+  MPFR_CLEAR_FLAGS(z); 
+  MPFR_CLEAR_FLAGS(y); 
+  MPFR_CLEAR_FLAGS(x); 
+
+  MPFR_SET_ZERO(x);
+  mpfr_random(y);
+  if (random() % 2)
+    mpfr_neg (y, y, GMP_RNDN);
+
+  mpfr_pow (z, x,y, GMP_RNDN);
+
+  if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && !(mpfr_isinteger(y)))
+    {
+      printf ("evaluation of function in y<0 does not return 0");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+
+      exit (1);
+    }
+  if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y)))
+    {
+      printf ("evaluation of function in y<0 (y integer) does not return INF");
+      printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+      exit (1);
+    }
+  if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y)))
+    {
+      printf ("evaluation of function in y<0 (y integer) does not return 0");
+       printf ("\nx =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN);
+      printf ("\n y =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN);
+      printf ("\n result =");
+      mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN);
+      putchar('\n');
+     exit (1);
+    }
+
+ 
+  {
+  mp_prec_t prec, yprec;
+  mpfr_t x, y, z, t,s;
+  mp_rnd_t rnd;
+  int inexact, compare, compare2;
+  unsigned int n, err;
+
+  int p0=1;
+  int p1=100;
+  int N=100;
+
+  mpfr_init (x);
+  mpfr_init (s);
+  mpfr_init (y);
+  mpfr_init (z);
+  mpfr_init (t);
+
+  /* generic test */
+  for (prec = p0; prec <= p1; prec++)
+    {
+      mpfr_set_prec (x, prec);
+      mpfr_set_prec (s, sizeof(unsigned long int)*CHAR_BIT);
+      mpfr_set_prec (z, prec);
+      mpfr_set_prec (t, prec);
+      yprec = prec + 10;
+
+      for (n=0; n<N; n++)
+	{
+         
+	  mpfr_random (x);
+
+	  mpfr_random (s);
+          if (random() % 2)
+            mpfr_neg (s, s, GMP_RNDN);
+	  rnd = random () % 4;
+	  mpfr_set_prec (y, yprec);
+	  compare = mpfr_pow (y, x, s, rnd);
+	  err = (rnd == GMP_RNDN) ? yprec + 1 : yprec;
+	  if (mpfr_can_round (y, err, rnd, rnd, prec))
+	    {
+	      mpfr_set (t, y, rnd);
+	      inexact = mpfr_pow (z,x, s, rnd);	
+	      if (mpfr_cmp (t, z))
+		{
+		  printf ("results differ for x=");
+		  mpfr_out_str (stdout, 2, prec, x, GMP_RNDN);
+                  printf (" values of the exponential=");
+		  mpfr_out_str (stdout, 2, prec, s, GMP_RNDN);
+		  printf (" prec=%u rnd_mode=%s\n", (unsigned) prec,
+			  mpfr_print_rnd_mode (rnd));
+		  printf ("got      ");
+		  mpfr_out_str (stdout, 2, prec, z, GMP_RNDN);
+		  putchar ('\n');
+		  printf ("expected ");
+		  mpfr_out_str (stdout, 2, prec, t, GMP_RNDN);
+		  putchar ('\n');
+		  printf ("approx  ");
+		  mpfr_print_raw (y);
+		  putchar ('\n');
+		  exit (1);
+		}
+	      compare2 = mpfr_cmp (t, y);
+	      /* if rounding to nearest, cannot know the sign of t - f(x)
+		 because of composed rounding: y = o(f(x)) and t = o(y) */
+	      if ((rnd != GMP_RNDN) && (compare * compare2 >= 0))
+		compare = compare + compare2;
+	      else
+		compare = inexact; /* cannot determine sign(t-f(x)) */
+	      if (((inexact == 0) && (compare != 0)) ||
+		  ((inexact > 0) && (compare <= 0)) ||
+		  ((inexact < 0) && (compare >= 0)))
+		{
+		  fprintf (stderr, "Wrong inexact flag for rnd=%s: expected %d, got %d\n",
+			   mpfr_print_rnd_mode (rnd), compare, inexact);
+		  printf ("x="); mpfr_print_raw (x); putchar ('\n');
+		  printf ("y="); mpfr_print_raw (y); putchar ('\n');
+		  printf ("t="); mpfr_print_raw (t); putchar ('\n');
+		  exit (1);
+		}
+	    }
+	}
+    }
+
+
+  }
+  mpfr_clear (x);
+  mpfr_clear (y);
+
+  return 0;
+}