2008-08-22 22:13:47 +01:00
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/**************************************************************************
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*
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* Copyright 2008 Tungsten Graphics, Inc., Cedar Park, Texas.
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* All Rights Reserved.
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*
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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
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* "Software"), to deal in the Software without restriction, including
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* without limitation the rights to use, copy, modify, merge, publish,
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* distribute, sub license, and/or sell copies of the Software, and to
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* permit persons to whom the Software is furnished to do so, subject to
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* the following conditions:
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*
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* The above copyright notice and this permission notice (including the
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* next paragraph) shall be included in all copies or substantial portions
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* of the Software.
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*
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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
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT.
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* IN NO EVENT SHALL TUNGSTEN GRAPHICS AND/OR ITS SUPPLIERS BE LIABLE FOR
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* ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
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* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
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* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
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*
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**************************************************************************/
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/**
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* Math utilities and approximations for common math functions.
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* Reduced precision is usually acceptable in shaders...
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2008-08-22 22:51:38 +01:00
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*
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* "fast" is used in the names of functions which are low-precision,
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* or at least lower-precision than the normal C lib functions.
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2008-08-22 22:13:47 +01:00
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*/
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#ifndef U_MATH_H
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#define U_MATH_H
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2008-08-22 22:51:38 +01:00
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#include "pipe/p_compiler.h"
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2008-09-18 14:24:45 +01:00
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#include "pipe/p_debug.h"
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2008-08-22 22:13:47 +01:00
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2008-08-22 22:53:28 +01:00
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#ifdef __cplusplus
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extern "C" {
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#endif
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2008-08-22 22:13:47 +01:00
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2008-08-25 00:48:55 +01:00
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#if defined(PIPE_SUBSYSTEM_WINDOWS_MINIPORT)
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__inline double ceil(double val)
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{
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double ceil_val;
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if((val - (long) val) == 0) {
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ceil_val = val;
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}
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else {
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if(val > 0) {
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ceil_val = (long) val + 1;
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}
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else {
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ceil_val = (long) val;
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}
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}
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return ceil_val;
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}
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#ifndef PIPE_SUBSYSTEM_WINDOWS_CE
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__inline double floor(double val)
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{
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double floor_val;
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if((val - (long) val) == 0) {
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floor_val = val;
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}
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else {
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if(val > 0) {
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floor_val = (long) val;
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}
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else {
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floor_val = (long) val - 1;
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}
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}
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return floor_val;
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}
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#endif
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#pragma function(pow)
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__inline double __cdecl pow(double val, double exponent)
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{
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/* XXX */
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assert(0);
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return 0;
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}
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#pragma function(log)
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__inline double __cdecl log(double val)
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{
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/* XXX */
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assert(0);
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return 0;
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}
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#pragma function(atan2)
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__inline double __cdecl atan2(double val)
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{
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/* XXX */
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assert(0);
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return 0;
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}
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#else
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#include <math.h>
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#include <stdarg.h>
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#endif
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#if defined(_MSC_VER)
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#if _MSC_VER < 1400 && !defined(__cplusplus) || defined(PIPE_SUBSYSTEM_WINDOWS_CE)
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static INLINE float cosf( float f )
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{
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return (float) cos( (double) f );
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}
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static INLINE float sinf( float f )
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{
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return (float) sin( (double) f );
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}
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static INLINE float ceilf( float f )
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{
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return (float) ceil( (double) f );
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}
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static INLINE float floorf( float f )
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{
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return (float) floor( (double) f );
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}
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static INLINE float powf( float f, float g )
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{
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return (float) pow( (double) f, (double) g );
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}
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static INLINE float sqrtf( float f )
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{
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return (float) sqrt( (double) f );
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}
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static INLINE float fabsf( float f )
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{
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return (float) fabs( (double) f );
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}
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static INLINE float logf( float f )
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{
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return (float) log( (double) f );
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}
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2008-11-12 16:14:07 +00:00
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static INLINE double log2( double x )
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{
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2008-11-12 18:02:41 +00:00
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const double invln2 = 1.442695041;
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return log( x ) * invln2;
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2008-11-12 16:14:07 +00:00
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}
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2008-08-25 00:48:55 +01:00
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#else
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/* Work-around an extra semi-colon in VS 2005 logf definition */
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#ifdef logf
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#undef logf
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#define logf(x) ((float)log((double)(x)))
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#endif /* logf */
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#endif
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#endif /* _MSC_VER */
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2008-11-09 17:15:32 +00:00
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#define POW2_TABLE_SIZE_LOG2 9
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#define POW2_TABLE_SIZE (1 << POW2_TABLE_SIZE_LOG2)
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#define POW2_TABLE_OFFSET (POW2_TABLE_SIZE/2)
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#define POW2_TABLE_SCALE ((float)(POW2_TABLE_SIZE/2))
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2008-08-22 22:13:47 +01:00
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extern float pow2_table[POW2_TABLE_SIZE];
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2008-08-22 22:53:28 +01:00
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2008-08-22 22:13:47 +01:00
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extern void
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util_init_math(void);
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2008-08-25 00:48:55 +01:00
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union fi {
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float f;
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2008-11-09 17:15:32 +00:00
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int32_t i;
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uint32_t ui;
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2008-08-25 00:48:55 +01:00
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};
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2008-08-22 22:13:47 +01:00
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/**
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2008-11-09 17:15:32 +00:00
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* Fast version of 2^x
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2008-08-22 22:13:47 +01:00
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* Identity: exp2(a + b) = exp2(a) * exp2(b)
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2008-11-09 17:15:32 +00:00
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* Let ipart = int(x)
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* Let fpart = x - ipart;
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* So, exp2(x) = exp2(ipart) * exp2(fpart)
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2008-08-22 22:13:47 +01:00
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* Compute exp2(ipart) with i << ipart
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* Compute exp2(fpart) with lookup table.
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*/
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static INLINE float
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2008-11-09 17:15:32 +00:00
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util_fast_exp2(float x)
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2008-08-22 22:13:47 +01:00
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{
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2008-11-09 17:15:32 +00:00
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int32_t ipart;
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float fpart, mpart;
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union fi epart;
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if(x > 129.00000f)
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return 3.402823466e+38f;
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if(x < -126.99999f)
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return 0.0f;
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ipart = (int32_t) x;
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fpart = x - (float) ipart;
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/* same as
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* epart.f = (float) (1 << ipart)
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* but faster and without integer overflow for ipart > 31 */
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epart.i = (ipart + 127 ) << 23;
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mpart = pow2_table[POW2_TABLE_OFFSET + (int)(fpart * POW2_TABLE_SCALE)];
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return epart.f * mpart;
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2008-08-22 22:13:47 +01:00
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}
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/**
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2008-11-09 17:15:32 +00:00
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* Fast approximation to exp(x).
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2008-08-22 22:13:47 +01:00
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*/
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static INLINE float
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2008-11-09 17:15:32 +00:00
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util_fast_exp(float x)
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2008-08-22 22:13:47 +01:00
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{
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2008-11-09 17:15:32 +00:00
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const float k = 1.44269f; /* = log2(e) */
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return util_fast_exp2(k * x);
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2008-08-22 22:13:47 +01:00
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}
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2008-11-09 17:15:32 +00:00
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#define LOG2_TABLE_SIZE_LOG2 8
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#define LOG2_TABLE_SIZE (1 << LOG2_TABLE_SIZE_LOG2)
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extern float log2_table[LOG2_TABLE_SIZE];
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2008-08-22 22:13:47 +01:00
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static INLINE float
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2008-11-09 17:15:32 +00:00
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util_fast_log2(float x)
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2008-08-22 22:13:47 +01:00
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{
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union fi num;
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2008-11-09 17:15:32 +00:00
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float epart, mpart;
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num.f = x;
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epart = (float)(((num.i & 0x7f800000) >> 23) - 127);
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mpart = log2_table[(num.i & 0x007fffff) >> (23 - LOG2_TABLE_SIZE_LOG2)];
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return epart + mpart;
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2008-08-22 22:13:47 +01:00
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}
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static INLINE float
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util_fast_pow(float x, float y)
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{
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return util_fast_exp2(util_fast_log2(x) * y);
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}
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2008-08-22 22:51:38 +01:00
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/**
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* Floor(x), returned as int.
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*/
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static INLINE int
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util_ifloor(float f)
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{
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int ai, bi;
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double af, bf;
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union fi u;
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af = (3 << 22) + 0.5 + (double)f;
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bf = (3 << 22) + 0.5 - (double)f;
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u.f = (float) af; ai = u.i;
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u.f = (float) bf; bi = u.i;
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return (ai - bi) >> 1;
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}
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/**
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* Round float to nearest int.
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*/
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static INLINE int
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util_iround(float f)
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{
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#if defined(PIPE_CC_GCC) && defined(PIPE_ARCH_X86)
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int r;
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__asm__ ("fistpl %0" : "=m" (r) : "t" (f) : "st");
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return r;
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#elif defined(PIPE_CC_MSVC) && defined(PIPE_ARCH_X86)
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int r;
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_asm {
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fld f
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fistp r
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}
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return r;
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#else
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if (f >= 0.0f)
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return (int) (f + 0.5f);
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else
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return (int) (f - 0.5f);
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#endif
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}
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2008-08-25 00:48:55 +01:00
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#if defined(PIPE_CC_MSVC) && defined(PIPE_ARCH_X86)
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/**
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* Find first bit set in word. Least significant bit is 1.
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* Return 0 if no bits set.
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*/
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static INLINE
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unsigned ffs( unsigned u )
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{
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unsigned i;
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if( u == 0 ) {
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return 0;
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}
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__asm bsf eax, [u]
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__asm inc eax
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__asm mov [i], eax
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return i;
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}
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#endif
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/**
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* Return float bits.
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*/
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static INLINE unsigned
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fui( float f )
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{
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union fi fi;
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fi.f = f;
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return fi.ui;
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}
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static INLINE float
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ubyte_to_float(ubyte ub)
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{
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return (float) ub * (1.0f / 255.0f);
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}
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/**
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* Convert float in [0,1] to ubyte in [0,255] with clamping.
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*/
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static INLINE ubyte
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float_to_ubyte(float f)
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{
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const int ieee_0996 = 0x3f7f0000; /* 0.996 or so */
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union fi tmp;
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tmp.f = f;
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if (tmp.i < 0) {
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return (ubyte) 0;
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}
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else if (tmp.i >= ieee_0996) {
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return (ubyte) 255;
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}
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else {
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tmp.f = tmp.f * (255.0f/256.0f) + 32768.0f;
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return (ubyte) tmp.i;
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}
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}
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#define CLAMP( X, MIN, MAX ) ( (X)<(MIN) ? (MIN) : ((X)>(MAX) ? (MAX) : (X)) )
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#define MIN2( A, B ) ( (A)<(B) ? (A) : (B) )
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#define MAX2( A, B ) ( (A)>(B) ? (A) : (B) )
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static INLINE int
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align(int value, int alignment)
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{
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return (value + alignment - 1) & ~(alignment - 1);
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}
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#ifndef COPY_4V
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#define COPY_4V( DST, SRC ) \
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do { \
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(DST)[0] = (SRC)[0]; \
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(DST)[1] = (SRC)[1]; \
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(DST)[2] = (SRC)[2]; \
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(DST)[3] = (SRC)[3]; \
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} while (0)
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#endif
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#ifndef COPY_4FV
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#define COPY_4FV( DST, SRC ) COPY_4V(DST, SRC)
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#endif
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#ifndef ASSIGN_4V
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#define ASSIGN_4V( DST, V0, V1, V2, V3 ) \
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do { \
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(DST)[0] = (V0); \
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(DST)[1] = (V1); \
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(DST)[2] = (V2); \
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(DST)[3] = (V3); \
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} while (0)
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#endif
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2008-08-22 22:53:28 +01:00
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#ifdef __cplusplus
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}
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#endif
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2008-08-22 22:13:47 +01:00
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#endif /* U_MATH_H */
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