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* Mesa 3-D graphics library
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* Copyright (C) 1999-2003 Brian Paul All Rights Reserved.
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* Permission is hereby granted, free of charge, to any person obtaining a
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* copy of this software and associated documentation files (the "Software"),
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* to deal in the Software without restriction, including without limitation
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* the rights to use, copy, modify, merge, publish, distribute, sublicense,
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* and/or sell copies of the Software, and to permit persons to whom the
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* Software is furnished to do so, subject to the following conditions:
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* The above copyright notice and this permission notice shall be included
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* in all copies or substantial portions of the Software.
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR
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* OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
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* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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* OTHER DEALINGS IN THE SOFTWARE.
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#include "main/glheader.h"
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#include "main/context.h"
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#include "main/macros.h"
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#include "m_debug_util.h"
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/* The linker doesn't like empty files */
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#ifdef DEBUG_MATH /* This code only used for debugging */
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static int m_norm_identity[16] = {
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static int m_norm_general[16] = {
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static int m_norm_no_rot[16] = {
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static int *norm_templates[8] = {
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static int norm_types[8] = {
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NORM_TRANSFORM_NO_ROT,
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NORM_TRANSFORM_NO_ROT | NORM_RESCALE,
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NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE,
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NORM_TRANSFORM | NORM_RESCALE,
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NORM_TRANSFORM | NORM_NORMALIZE,
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static int norm_scale_types[8] = { /* rescale factor */
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NIL, /* NIL disables rescaling */
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static int norm_normalize_types[8] = { /* normalizing ?? (no = 0) */
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static char *norm_strings[8] = {
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"NORM_TRANSFORM_NO_ROT",
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"NORM_TRANSFORM_NO_ROT | NORM_RESCALE",
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"NORM_TRANSFORM_NO_ROT | NORM_NORMALIZE",
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"NORM_TRANSFORM | NORM_RESCALE",
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"NORM_TRANSFORM | NORM_NORMALIZE",
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/* =============================================================
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* Reference transformations
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static void ref_norm_transform_rescale( const GLmatrix *mat,
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const GLvector4f *in,
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const GLfloat *lengths,
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const GLfloat *s = in->start;
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const GLfloat *m = mat->inv;
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GLfloat (*out)[4] = (GLfloat (*)[4]) dest->start;
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for ( i = 0 ; i < in->count ; i++ ) {
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TRANSFORM_NORMAL( t, s, m );
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SCALE_SCALAR_3V( out[i], scale, t );
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s = (GLfloat *)((char *)s + in->stride);
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static void ref_norm_transform_normalize( const GLmatrix *mat,
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const GLvector4f *in,
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const GLfloat *lengths,
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const GLfloat *s = in->start;
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const GLfloat *m = mat->inv;
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GLfloat (*out)[4] = (GLfloat (*)[4]) dest->start;
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for ( i = 0 ; i < in->count ; i++ ) {
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TRANSFORM_NORMAL( t, s, m );
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GLfloat len = LEN_SQUARED_3FV( t );
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/* Hmmm, don't know how we could test the precalculated
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scale = 1.0f / sqrtf(len);
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SCALE_SCALAR_3V( out[i], scale, t );
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out[i][0] = out[i][1] = out[i][2] = 0;
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SCALE_SCALAR_3V( out[i], scale, t );
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s = (GLfloat *)((char *)s + in->stride);
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/* =============================================================
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* Normal transformation tests
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static void init_matrix( GLfloat *m )
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m[0] = 63.0; m[4] = 43.0; m[ 8] = 29.0; m[12] = 43.0;
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m[1] = 55.0; m[5] = 17.0; m[ 9] = 31.0; m[13] = 7.0;
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m[2] = 44.0; m[6] = 9.0; m[10] = 7.0; m[14] = 3.0;
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m[3] = 11.0; m[7] = 23.0; m[11] = 91.0; m[15] = 9.0;
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static int test_norm_function( normal_func func, int mtype, long *cycles )
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GLvector4f source[1], dest[1], dest2[1], ref[1], ref2[1];
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GLfloat s[TEST_COUNT][5], d[TEST_COUNT][4], r[TEST_COUNT][4];
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GLfloat d2[TEST_COUNT][4], r2[TEST_COUNT][4], length[TEST_COUNT];
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#ifdef RUN_DEBUG_BENCHMARK
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int cycle_i; /* the counter for the benchmarks we run */
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mat->m = align_malloc( 16 * sizeof(GLfloat), 16 );
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mat->inv = m = mat->m;
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scale = 1.0F + rnd () * norm_scale_types[mtype];
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for ( i = 0 ; i < 4 ; i++ ) {
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for ( j = 0 ; j < 4 ; j++ ) {
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switch ( norm_templates[mtype][i * 4 + j] ) {
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for ( i = 0 ; i < TEST_COUNT ; i++ ) {
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ASSIGN_3V( d[i], 0.0, 0.0, 0.0 );
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ASSIGN_3V( s[i], 0.0, 0.0, 0.0 );
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ASSIGN_3V( d2[i], 0.0, 0.0, 0.0 );
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for ( j = 0 ; j < 3 ; j++ )
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length[i] = 1.0f / sqrtf( LEN_SQUARED_3FV( s[i] ) );
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source->data = (GLfloat(*)[4]) s;
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source->start = (GLfloat *) s;
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source->count = TEST_COUNT;
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source->stride = sizeof(s[0]);
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dest->start = (GLfloat *) d;
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dest->count = TEST_COUNT;
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dest->stride = sizeof(float[4]);
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dest2->start = (GLfloat *) d2;
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dest2->count = TEST_COUNT;
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dest2->stride = sizeof(float[4]);
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ref->start = (GLfloat *) r;
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ref->count = TEST_COUNT;
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ref->stride = sizeof(float[4]);
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ref2->start = (GLfloat *) r2;
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ref2->count = TEST_COUNT;
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ref2->stride = sizeof(float[4]);
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if ( norm_normalize_types[mtype] == 0 ) {
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ref_norm_transform_rescale( mat, scale, source, NULL, ref );
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ref_norm_transform_normalize( mat, scale, source, NULL, ref );
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ref_norm_transform_normalize( mat, scale, source, length, ref2 );
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if ( mesa_profile ) {
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BEGIN_RACE( *cycles );
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func( mat, scale, source, NULL, dest );
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func( mat, scale, source, length, dest2 );
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func( mat, scale, source, NULL, dest );
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func( mat, scale, source, length, dest2 );
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for ( i = 0 ; i < TEST_COUNT ; i++ ) {
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for ( j = 0 ; j < 3 ; j++ ) {
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if ( significand_match( d[i][j], r[i][j] ) < REQUIRED_PRECISION ) {
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printf( "-----------------------------\n" );
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printf( "(i = %i, j = %i)\n", i, j );
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printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
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d[i][0], r[i][0], r[i][0]/d[i][0],
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MAX_PRECISION - significand_match( d[i][0], r[i][0] ) );
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printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
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d[i][1], r[i][1], r[i][1]/d[i][1],
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MAX_PRECISION - significand_match( d[i][1], r[i][1] ) );
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printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
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d[i][2], r[i][2], r[i][2]/d[i][2],
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MAX_PRECISION - significand_match( d[i][2], r[i][2] ) );
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if ( norm_normalize_types[mtype] != 0 ) {
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if ( significand_match( d2[i][j], r2[i][j] ) < REQUIRED_PRECISION ) {
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printf( "------------------- precalculated length case ------\n" );
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printf( "(i = %i, j = %i)\n", i, j );
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printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
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d2[i][0], r2[i][0], r2[i][0]/d2[i][0],
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MAX_PRECISION - significand_match( d2[i][0], r2[i][0] ) );
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printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
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d2[i][1], r2[i][1], r2[i][1]/d2[i][1],
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MAX_PRECISION - significand_match( d2[i][1], r2[i][1] ) );
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printf( "%f \t %f \t [ratio = %e - %i bit missed]\n",
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d2[i][2], r2[i][2], r2[i][2]/d2[i][2],
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MAX_PRECISION - significand_match( d2[i][2], r2[i][2] ) );
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align_free( mat->m );
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void _math_test_all_normal_transform_functions( char *description )
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long benchmark_tab[0xf];
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static int first_time = 1;
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mesa_profile = getenv( "MESA_PROFILE" );
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#ifdef RUN_DEBUG_BENCHMARK
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if ( mesa_profile ) {
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if ( !counter_overhead ) {
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printf( "counter overhead: %ld cycles\n\n", counter_overhead );
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printf( "normal transform results after hooking in %s functions:\n",
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printf( "\n-------------------------------------------------------\n" );
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for ( mtype = 0 ; mtype < 8 ; mtype++ ) {
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normal_func func = _mesa_normal_tab[norm_types[mtype]];
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long *cycles = &benchmark_tab[mtype];
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if ( test_norm_function( func, mtype, cycles ) == 0 ) {
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sprintf( buf, "_mesa_normal_tab[0][%s] failed test (%s)",
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norm_strings[mtype], description );
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_mesa_problem( NULL, "%s", buf );
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#ifdef RUN_DEBUG_BENCHMARK
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if ( mesa_profile ) {
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printf( " %li\t", benchmark_tab[mtype] );
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printf( " | [%s]\n", norm_strings[mtype] );
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#ifdef RUN_DEBUG_BENCHMARK
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if ( mesa_profile ) {
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#endif /* DEBUG_MATH */