/* $Id: debug_xform.c,v 1.3 1999/11/11 01:22:26 brianp Exp $ */

/*
 * Mesa 3-D graphics library
 * Version:  3.3
 * 
 * Copyright (C) 1999  Brian Paul   All Rights Reserved.
 * 
 * Permission is hereby granted, free of charge, to any person obtaining a
 * copy of this software and associated documentation files (the "Software"),
 * to deal in the Software without restriction, including without limitation
 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
 * and/or sell copies of the Software, and to permit persons to whom the
 * Software is furnished to do so, subject to the following conditions:
 * 
 * The above copyright notice and this permission notice shall be included
 * in all copies or substantial portions of the Software.
 * 
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
 * BRIAN PAUL BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
 * AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
 * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 */


#ifdef PC_HEADER
#include "all.h"
#else
#include "glheader.h"
#include "context.h"
#include "types.h"
#include "xform.h"
#include "debug_xform.h"
#endif


/*  comment this out to deactivate the cycle counter.
 *  NOTE: it works only on CPUs which know the 'rdtsc' command (586 or higher) 
 *  (hope, you don't try to debug Mesa on a 386 ;) 
 */
#if defined(__GNUC__) && defined(__i386__) && defined(USE_X86_ASM)
#define  RUN_XFORM_BENCHMARK
#endif

#define  TEST_COUNT  100                 /* size of the tested vector array   */

#define  REQUIRED_PRECISION  10          /* allow 4 bits to miss              */
#define  MAX_PRECISION       24          /* max. precision possible           */


#ifdef  RUN_XFORM_BENCHMARK
/*  Modify the the number of tests if you like.
 *  We take the minimum of all results, because every error should be 
 *  positive (time used by other processes, task switches etc).
 *  It is assumed that all calculations are done in the cache.
 */
#define  BEGIN_RACE(x)                                                        \
x = 16000000;                                         /*  hope it's enough-*/ \
for (cycle_i = 0; cycle_i <10; cycle_i++) {                                   \
   long cycle_tmp1, cycle_tmp2, dummy;                                        \
   __asm__ ("mov %%eax, %0":"=a" (cycle_tmp1));       /*  cache cycle_tmp1 */ \
   __asm__ ("mov %%eax, %0":"=a" (cycle_tmp2));       /*  cache cycle_tmp2 */ \
   __asm__ ("cdq");                                   /*  stall pipeline   */ \
   __asm__ ("cdq");                                   /*  to avoid pairing */ \
   __asm__ ("rdtsc":"=a" (cycle_tmp1), "=d" (dummy)); /*  save timestamp   */


#define END_RACE(x)                                                           \
   __asm__ ("cdq");                                                           \
   __asm__ ("cdq");                                                           \
   __asm__ ("rdtsc":"=a" (cycle_tmp2), "=d" (dummy));                         \
   if (x > (cycle_tmp2-cycle_tmp1)) x = cycle_tmp2 - cycle_tmp1;              \
}                                                                             \
x -= 13;                      /*   sub the overhead of the counter procedure */

#else
#define BEGIN_RACE(x) 
#define END_RACE(x)
#endif


static char *mesa_profile = NULL;


static GLfloat rnd(void)
{
   GLfloat f = (GLfloat)rand() / (GLfloat)RAND_MAX;
   GLfloat gran = (GLfloat)(1 << 13);

   f = (GLfloat)(GLint)(f * gran) / gran;

   return f * 2.0 - 1.0;
}



static int significand_match( GLfloat a, GLfloat b )
{
   GLfloat d = a - b;
   int a_ex, b_ex, d_ex;

   if (d == 0.0F) {
      return MAX_PRECISION;   /* Exact match */
   }

   if (a == 0.0F || b == 0.0F) {
      /*
       * It would probably be better to check if the
       * non-zero number is denormalized and return
       * the index of the highest set bit here.
       */
      return 0;
   }

   frexp(a, &a_ex);
   frexp(b, &b_ex);
   frexp(d, &d_ex);

   if (a_ex < b_ex)
      return a_ex - d_ex;
   else
      return b_ex - d_ex;
}





static void ref_transform( GLvector4f *dst, 
                           const GLmatrix *mat, 
                           const GLvector4f *src,
                           const GLubyte *clipmask, 
                           const GLubyte flag )
{
   int i;
   GLfloat *s = (GLfloat *)src->start;
   GLfloat (*d)[4] = (GLfloat (*)[4])dst->start;
   const GLfloat *m = mat->m;

   (void) clipmask;
   (void) flag;

   for (i = 0; i < src->count; ++i) {
      GLfloat x = s[0], y = s[1], z = s[2], w = s[3];
      d[i][0] = m[0]*x + m[4]*y + m[ 8]*z + m[12]*w;
      d[i][1] = m[1]*x + m[5]*y + m[ 9]*z + m[13]*w;
      d[i][2] = m[2]*x + m[6]*y + m[10]*z + m[14]*w;
      d[i][3] = m[3]*x + m[7]*y + m[11]*z + m[15]*w;
      s = (GLfloat *)((char *)s + src->stride);
   }
}


enum { NIL=0, ONE=1, NEG=-1, VAR=2 };

static int m_general[16] = {
   VAR, VAR, VAR, VAR,
   VAR, VAR, VAR, VAR,
   VAR, VAR, VAR, VAR,
   VAR, VAR, VAR, VAR
};
static int m_identity[16] = {
   ONE, NIL, NIL, NIL,
   NIL, ONE, NIL, NIL,
   NIL, NIL, ONE, NIL,
   NIL, NIL, NIL, ONE
};
static int m_2d[16] = {
   VAR, VAR, NIL, VAR,
   VAR, VAR, NIL, VAR,
   NIL, NIL, ONE, NIL,
   NIL, NIL, NIL, ONE
};
static int m_2d_no_rot[16] = {
   VAR, NIL, NIL, VAR,
   NIL, VAR, NIL, VAR,
   NIL, NIL, ONE, NIL,
   NIL, NIL, NIL, ONE
};
static int m_3d[16] = {
   VAR, VAR, VAR, VAR,
   VAR, VAR, VAR, VAR,
   VAR, VAR, VAR, VAR,
   NIL, NIL, NIL, ONE
};
static int m_3d_no_rot[16] = {
   VAR, NIL, NIL, VAR,
   NIL, VAR, NIL, VAR,
   NIL, NIL, VAR, VAR,
   NIL, NIL, NIL, ONE
};
static int m_perspective[16] = {
   VAR, NIL, VAR, NIL,
   NIL, VAR, VAR, NIL,
   NIL, NIL, VAR, VAR,
   NIL, NIL, NEG, NIL
};
static int *templates[7] = {
   m_general,
   m_identity,
   m_3d_no_rot,
   m_perspective,
   m_2d,
   m_2d_no_rot,
   m_3d
};
static int mtypes[7] = {
   MATRIX_GENERAL,
   MATRIX_IDENTITY,
   MATRIX_3D_NO_ROT,
   MATRIX_PERSPECTIVE,
   MATRIX_2D,
   MATRIX_2D_NO_ROT,
   MATRIX_3D
};
static char *mstrings[7] = {
   "MATRIX_GENERAL",
   "MATRIX_IDENTITY",
   "MATRIX_3D_NO_ROT",
   "MATRIX_PERSPECTIVE",
   "MATRIX_2D",
   "MATRIX_2D_NO_ROT",
   "MATRIX_3D"
};


static int test_transform_function( transform_func fn, int psize, int mtype,
                                    int masked, long* cycles )
{
   GLvector4f source[1], dest[1], ref[1];
   GLmatrix mat[1];
   GLfloat s[TEST_COUNT][5], d[TEST_COUNT][4], r[TEST_COUNT][4];
   GLfloat *m = mat->m;
   GLubyte mask[TEST_COUNT];
   int i, j;
#ifdef  RUN_XFORM_BENCHMARK
   int cycle_i;                /* the counter for the benchmarks we run     */
#endif

   (void) cycles;

   if (psize > 4) {
      gl_problem( NULL, "test_transform_function called with psize > 4\n");
      return 0;
   }

   mat->type = mtypes[mtype];

   m[0] = 63.0; m[4] = 43.0; m[ 8] = 29.0; m[12] = 43.0;
   m[1] = 55.0; m[5] = 17.0; m[ 9] = 31.0; m[13] =  7.0;
   m[2] = 44.0; m[6] =  9.0; m[10] =  7.0; m[14] =  3.0;
   m[3] = 11.0; m[7] = 23.0; m[11] = 91.0; m[15] =  9.0;

   for (i = 0; i < 4; i++) {
      for (j = 0; j < 4; j++) {
         switch (templates[mtype][i * 4 + j]) {
         case NIL:
            m[j * 4 + i] = 0.0;
            break;
         case ONE:
            m[j * 4 + i] = 1.0;
            break;
         case NEG:
            m[j * 4 + i] = -1.0;
            break;
         case VAR:
            break;
         default:
            abort();
         }
      }
   }

   for (i = 0; i < TEST_COUNT; ++i) {
      mask[i] = i % 2;            /*  mask every 2nd element          */
      d[i][0] = s[i][0] = 0.0;
      d[i][1] = s[i][1] = 0.0;
      d[i][2] = s[i][2] = 0.0;
      d[i][3] = s[i][3] = 1.0;
      for (j = 0; j < psize; j++)
         s[i][j] = rnd();
   }

   source->data = (GLfloat(*)[4])s;
   source->start = (GLfloat *)s;
   source->count = TEST_COUNT;
   source->stride = sizeof(s[0]);
   source->size = 4;
   source->flags = 0;

   dest->data = (GLfloat(*)[4])d;
   dest->start = (GLfloat *)d;
   dest->count = TEST_COUNT;
   dest->stride = sizeof(float[4]);
   dest->size = 0;
   dest->flags = 0;

   ref->data = (GLfloat(*)[4])r;
   ref->start = (GLfloat *)r;
   ref->count = TEST_COUNT;
   ref->stride = sizeof(float[4]);
   ref->size = 0;
   ref->flags = 0;

   ref_transform(ref, mat, source, NULL, 0);

   if (mesa_profile) {
      if (masked) {
         BEGIN_RACE (*cycles);
         fn(dest, mat, source, mask, 1);
         END_RACE (*cycles);
      } else {
         BEGIN_RACE (*cycles);
         fn(dest, mat, source, NULL, 0);
         END_RACE (*cycles);
      }
   }
   else {
      if (masked) {
         fn(dest, mat, source, mask, 1);
      } else {
         fn(dest, mat, source, NULL, 0);
      }
   }

   for (i = 0; i < TEST_COUNT; ++i) {
      if (masked && mask[i] & 1)
         continue;

      for (j = 0; j < 4; j++) {
         if (significand_match (d[i][j], r[i][j]) < REQUIRED_PRECISION) {
            printf("-----------------------------\n");
            printf ("(i = %i, j = %i)\n", i, j);
            printf ("%f \t %f \t [diff = %e - %i bit missed]\n",
                         d[i][0], r[i][0], r[i][0]-d[i][0],
                         MAX_PRECISION - significand_match (d[i][0], r[i][0]));
            printf ("%f \t %f \t [diff = %e - %i bit missed]\n",
                         d[i][1], r[i][1], r[i][1]-d[i][1], 
                         MAX_PRECISION - significand_match (d[i][1], r[i][1]));
            printf ("%f \t %f \t [diff = %e - %i bit missed]\n",
                         d[i][2], r[i][2], r[i][2]-d[i][2], 
                         MAX_PRECISION - significand_match (d[i][2], r[i][2]));
            printf ("%f \t %f \t [diff = %e - %i bit missed]\n",
                         d[i][3], r[i][3], r[i][3]-d[i][3], 
                         MAX_PRECISION - significand_match (d[i][3], r[i][3]));
            return 0;
         }
      }
   }
   return 1;
}




void gl_test_all_transform_functions( char *description )
{
   int masked, psize, mtype;
   long benchmark_tab [2][4][7];
   static int first_time = 1;

   if (first_time) {
      first_time = 0;
      mesa_profile = getenv("MESA_PROFILE");
   }

#ifdef RUN_XFORM_BENCHMARK
   if (mesa_profile) {
      printf("transform results after hooking in %s functions:\n", description);
   }
#endif

   for (masked = 0; masked <= 1; masked++) {
      int cma = masked ? CULL_MASK_ACTIVE : 0;
      char *cmastring = masked ? "CULL_MASK_ACTIVE" : "0";

#ifdef RUN_XFORM_BENCHMARK
      if (mesa_profile) {
         printf ("\n culling: %s \n", masked ? "CULL_MASK_ACTIVE" : "0");
         for (psize = 1; psize <= 4; psize++) {
            printf(" p%d\t", psize );
         }
         printf("\n--------------------------------------------------------\n");
      }
#endif

      for (mtype = 0; mtype < 7; mtype++) {
         for (psize = 1; psize <= 4; psize++) {
            transform_func fn = gl_transform_tab[cma][psize][mtypes[mtype]];
            long* cycles = &(benchmark_tab [cma][psize-1][mtype]);

            if (test_transform_function (fn,psize,mtype,masked,cycles) == 0 ) {
               char buf[100];
               sprintf( buf, "gl_transform_tab[%s][%d][%s] failed test (%s)",
                        cmastring, psize, mstrings[mtype], description );
               gl_problem( NULL, buf );
            } else {
/*             printf("gl_transform_tab[%s][%d][%s] passed test in %i cycles\n",
	       cmastring, psize, mstrings[mtype],
	       benchmark_tab [cma][psize-1][mtype]); 
*/          }
#ifdef RUN_XFORM_BENCHMARK
            if (mesa_profile)
               printf(" %li\t", benchmark_tab [cma][psize-1][mtype] );
#endif
         }
#ifdef RUN_XFORM_BENCHMARK
         if (mesa_profile)
            printf (" | [%s]\n", mstrings[mtype] );
#endif
      }
#ifdef RUN_XFORM_BENCHMARK
      if (mesa_profile)
         printf ("\n");
#endif
   }
}








static void ref_norm_transform_rescale ( const GLmatrix *mat,
                                    GLfloat scale,
                                    const GLvector3f *in,
                                    const GLfloat *lengths,
                                    const GLubyte mask[],
                                    GLvector3f *dest )
{
   int i;
   const GLfloat *s = in->start;
   const GLfloat *m = mat->inv;
   GLfloat (*out)[3] = (GLfloat (*)[3])dest->start;

   (void) mask;
   (void) lengths;

   for (i = 0; i < in->count; ++i) {
      GLfloat x = s[0], y = s[1], z = s[2] ;
      GLfloat tx = m[0]*x + m[1]*y + m[ 2]*z ;
      GLfloat ty = m[4]*x + m[5]*y + m[ 6]*z ;
      GLfloat tz = m[8]*x + m[9]*y + m[10]*z ;

      out[i][0] = tx * scale;
      out[i][1] = ty * scale;
      out[i][2] = tz * scale;

      s = (GLfloat *)((char *)s + in->stride);
   }
}


static void ref_norm_transform_normalize ( const GLmatrix *mat,
                                      GLfloat scale,
                                      const GLvector3f *in,
                                      const GLfloat *lengths,
                                      const GLubyte mask[],
                                      GLvector3f *dest )
{
   int i;
   const GLfloat *s = in->start;
   const GLfloat *m = mat->inv;
   GLfloat (*out)[3] = (GLfloat (*)[3])dest->start;

   (void) mask;

   for (i = 0; i < in->count; ++i) {
      GLfloat x = s[0], y = s[1], z = s[2] ;
      GLfloat tx = m[0]*x + m[1]*y + m[ 2]*z ;
      GLfloat ty = m[4]*x + m[5]*y + m[ 6]*z ;
      GLfloat tz = m[8]*x + m[9]*y + m[10]*z ;

      if (!lengths) {
         GLfloat len = tx*tx + ty*ty + tz*tz;
         if (len > 1e-20) {
            scale = 1.0 / sqrt (len);           /*  hmmm, don't know how we   */
                                                /*  could test the precalcu-  */
                                                /*  lated length case ...     */
            out[i][0] = tx * scale;
            out[i][1] = ty * scale;
            out[i][2] = tz * scale;
         } else {
            out[i][0] = out[i][1] = out[i][2] = 0;
         }
      } else {
         scale = lengths [i];;
         out[i][0] = tx * scale;
         out[i][1] = ty * scale;
         out[i][2] = tz * scale;
      }

      s = (GLfloat *)((char *)s + in->stride);
   }
}



static int m_norm_identity[16] = {
   ONE, NIL, NIL, NIL,
   NIL, ONE, NIL, NIL,
   NIL, NIL, ONE, NIL,
   NIL, NIL, NIL, NIL
};
static int m_norm_general[16] = {
   VAR, VAR, VAR, NIL,
   VAR, VAR, VAR, NIL,
   VAR, VAR, VAR, NIL,
   NIL, NIL, NIL, NIL
};
static int m_norm_no_rot[16] = {
   VAR, NIL, NIL, NIL,
   NIL, VAR, NIL, NIL,
   NIL, NIL, VAR, NIL,
   NIL, NIL, NIL, NIL
};
static int *norm_templates[8] = {
   m_norm_no_rot,
   m_norm_no_rot,
   m_norm_no_rot,
   m_norm_general,
   m_norm_general,
   m_norm_general,
   m_norm_identity,
   m_norm_identity
};
static int norm_types[8] = {
   NORM_TRANSFORM_NO_ROT,
   NORM_TRANSFORM_NO_ROT | NORM_RESCALE,
   NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE,
   NORM_TRANSFORM,
   NORM_TRANSFORM | NORM_RESCALE,
   NORM_TRANSFORM | NORM_NORMALIZE,
   NORM_RESCALE,
   NORM_NORMALIZE
};
static int norm_scale_types[8] = {               /*  rescale factor           */
   NIL,                                          /*  NIL disables rescaling   */
   VAR,
   NIL,
   NIL,
   VAR,
   NIL,
   VAR,
   NIL
};
static int norm_normalize_types[8] = {           /*  normalizing ??  (no = 0) */
   0,
   0,
   1,
   0,
   0,
   1,
   0,
   1
};
static char *norm_strings[8] = {
   "NORM_TRANSFORM_NO_ROT",
   "NORM_TRANSFORM_NO_ROT | NORM_RESCALE",
   "NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE",
   "NORM_TRANSFORM",
   "NORM_TRANSFORM | NORM_RESCALE",
   "NORM_TRANSFORM | NORM_NORMALIZE",
   "NORM_RESCALE",
   "NORM_NORMALIZE"
};





static int test_norm_function( normal_func fn, int mtype,
                                    int masked, long* cycles )
{
   GLvector3f source[1], dest[1], dest2[1], ref[1], ref2[1];
   GLmatrix mat[1];
   GLfloat s [TEST_COUNT][5], d [TEST_COUNT][3], r [TEST_COUNT][3];
   GLfloat d2 [TEST_COUNT][3], r2 [TEST_COUNT][3], length [TEST_COUNT];
   GLfloat scale;
   GLfloat *m = mat->m;
   GLubyte mask[TEST_COUNT];
   int i, j;
#ifdef  RUN_XFORM_BENCHMARK
   int cycle_i;                /* the counter for the benchmarks we run     */
#endif

   (void) cycles;

   mat->inv = mat->m;

   m[0] = 63.0; m[4] = 43.0; m[ 8] = 29.0; m[12] = 43.0;
   m[1] = 55.0; m[5] = 17.0; m[ 9] = 31.0; m[13] =  7.0;
   m[2] = 44.0; m[6] =  9.0; m[10] =  7.0; m[14] =  3.0;
   m[3] = 11.0; m[7] = 23.0; m[11] = 91.0; m[15] =  9.0;

   scale = 1.0F + rnd () * norm_scale_types[mtype];

   for (i = 0; i < 4; i++) {
      for (j = 0; j < 4; j++) {
         switch (norm_templates[mtype][i * 4 + j]) {
         case NIL:
            m[j * 4 + i] = 0.0;
            break;
         case ONE:
            m[j * 4 + i] = 1.0;
            break;
         case NEG:
            m[j * 4 + i] = -1.0;
            break;
         case VAR:
            break;
         default:
            abort();
         }
      }
   }

   for (i = 0; i < TEST_COUNT; ++i) {
      mask[i] = i % 2;                         /*  mask every 2nd element     */
      d[i][0] = s[i][0] = d2[i][0] = 0.0;
      d[i][1] = s[i][1] = d2[i][1] = 0.0;
      d[i][2] = s[i][2] = d2[i][2] = 0.0;
      for (j = 0; j < 3; j++)
         s[i][j] = rnd();
      length[i] = 1 / sqrt(s[i][0]*s[i][0] + s[i][1]*s[i][1] + s[i][2]*s[i][2]);
   }

   source->data = (GLfloat(*)[3])s;
   source->start = (GLfloat *)s;
   source->count = TEST_COUNT;
   source->stride = sizeof(s[0]);
   source->flags = 0;

   dest->data = (GLfloat(*)[3])d;
   dest->start = (GLfloat *)d;
   dest->count = TEST_COUNT;
   dest->stride = sizeof(float[3]);
   dest->flags = 0;

   dest2->data = (GLfloat(*)[3])d2;
   dest2->start = (GLfloat *)d2;
   dest2->count = TEST_COUNT;
   dest2->stride = sizeof(float[3]);
   dest2->flags = 0;

   ref->data = (GLfloat(*)[3])r;
   ref->start = (GLfloat *)r;
   ref->count = TEST_COUNT;
   ref->stride = sizeof(float[3]);
   ref->flags = 0;

   ref2->data = (GLfloat(*)[3])r2;
   ref2->start = (GLfloat *)r2;
   ref2->count = TEST_COUNT;
   ref2->stride = sizeof(float[3]);
   ref2->flags = 0;

   if (norm_normalize_types [mtype] == 0) {
      ref_norm_transform_rescale (mat, scale, source, NULL, NULL, ref);
   } else {
      ref_norm_transform_normalize (mat, scale, source, NULL, NULL, ref);
      ref_norm_transform_normalize (mat, scale, source, length, NULL, ref2);
   }

   if (mesa_profile) {
      if (masked) {
         BEGIN_RACE (*cycles);
         fn (mat, scale, source, NULL, mask, dest);
         END_RACE (*cycles);
         fn (mat, scale, source, length, mask, dest2);
      } else {
         BEGIN_RACE (*cycles);
         fn (mat, scale, source, NULL, NULL, dest);
         END_RACE (*cycles);
         fn (mat, scale, source, length, NULL, dest2);
      }
   } else {
      if (masked) {
         fn (mat, scale, source, NULL, mask, dest);
         fn (mat, scale, source, length, mask, dest2);
      } else {
         fn (mat, scale, source, NULL, NULL, dest);
         fn (mat, scale, source, length, NULL, dest2);
      }
   }

   for (i = 0; i < TEST_COUNT; ++i) {
      if (masked && !(mask[i] & 1))
         continue;

      for (j = 0; j < 3; j++) {
         if (significand_match (d[i][j], r[i][j]) < REQUIRED_PRECISION) {
            printf("-----------------------------\n");
            printf ("(i = %i, j = %i)\n", i, j);
            printf ("%f \t %f \t [ratio = %e - %i bit missed]\n",
                         d[i][0], r[i][0], r[i][0]/d[i][0],
                         MAX_PRECISION - significand_match (d[i][0], r[i][0]));
            printf ("%f \t %f \t [ratio = %e - %i bit missed]\n",
                         d[i][1], r[i][1], r[i][1]/d[i][1],
                         MAX_PRECISION - significand_match (d[i][1], r[i][1]));
            printf ("%f \t %f \t [ratio = %e - %i bit missed]\n",
                         d[i][2], r[i][2], r[i][2]/d[i][2],
                         MAX_PRECISION - significand_match (d[i][2], r[i][2]));
            return 0;
         }

         if (norm_normalize_types [mtype] != 0) {
            if (significand_match (d2[i][j], r2[i][j]) < REQUIRED_PRECISION) {
               printf("------------------- precalculated length case ------\n");
               printf ("(i = %i, j = %i)\n", i, j);
               printf ("%f \t %f \t [ratio = %e - %i bit missed]\n",
                         d2[i][0], r2[i][0], r2[i][0]/d2[i][0],
                         MAX_PRECISION - significand_match (d2[i][0],r2[i][0]));
               printf ("%f \t %f \t [ratio = %e - %i bit missed]\n",
                         d2[i][1], r2[i][1], r2[i][1]/d2[i][1], 
                         MAX_PRECISION - significand_match (d2[i][1],r2[i][1]));
               printf ("%f \t %f \t [ratio = %e - %i bit missed]\n",
                         d2[i][2], r2[i][2], r2[i][2]/d2[i][2], 
                         MAX_PRECISION - significand_match (d2[i][2],r2[i][2]));
               return 0;
            }
         }
      }
   }
   return 1;
}



void gl_test_all_normal_transform_functions( char *description )
{
   int masked;
   int mtype;
   long benchmark_tab [0xf][0x4];
   static int first_time = 1;


   if (first_time) {
      first_time = 0;
      mesa_profile = getenv("MESA_PROFILE");
   }

#ifdef RUN_XFORM_BENCHMARK
   if (mesa_profile) {
      printf ("normal transform results after hooking in %s functions:\n", 
                                                                description);
   }
#endif


   for (masked = 0; masked <= 1; masked++) {
      int cma = masked ? CULL_MASK_ACTIVE : 0;
      char *cmastring = masked ? "CULL_MASK_ACTIVE" : "0";

#ifdef RUN_XFORM_BENCHMARK
      if (mesa_profile) {
         printf ("\n culling: %s \n", masked ? "CULL_MASK_ACTIVE" : "0");
         printf ("\n-------------------------------------------------------\n");
      }
#endif

      for (mtype = 0; mtype < 8; mtype++) {
         normal_func fn = gl_normal_tab [norm_types[mtype]][cma];
         long* cycles = &(benchmark_tab [mtype][cma]);

         if (test_norm_function (fn, mtype, masked, cycles) == 0 ) {
            char buf[100];
            sprintf( buf, "gl_normal_tab[%s][%s] failed test (%s)",
                     cmastring, norm_strings[mtype], description );
            gl_problem( NULL, buf );
         } else {
/*          printf("gl_normal_tab[%s][%s] passed test in %li cycles (%s)\n",
                     cmastring, norm_strings[mtype],
                     benchmark_tab [mtype][cma], description);
*/       }

#ifdef RUN_XFORM_BENCHMARK
         if (mesa_profile) {
            printf (" %li\t", benchmark_tab [mtype][cma] );
            printf (" | [%s]\n", norm_strings[mtype] );
         }
      }
      if (mesa_profile) { printf ("\n"); }
#else
      }
#endif
   }
}



