diff options
author | marha <marha@users.sourceforge.net> | 2011-05-16 08:06:12 +0000 |
---|---|---|
committer | marha <marha@users.sourceforge.net> | 2011-05-16 08:06:12 +0000 |
commit | 08cbf3b50bfe713044f36b363c73768cd042f13c (patch) | |
tree | 6be4c5dd7f5bc2f058228b2a2fa747a4d7666dc5 /mesalib/src/gallium/auxiliary/util/u_math.h | |
parent | d8c3e3d2ba88d6b87a718aef7f4fb4627113eb52 (diff) | |
download | vcxsrv-08cbf3b50bfe713044f36b363c73768cd042f13c.tar.gz vcxsrv-08cbf3b50bfe713044f36b363c73768cd042f13c.tar.bz2 vcxsrv-08cbf3b50bfe713044f36b363c73768cd042f13c.zip |
xserver xkeyboar-config mesa git update 16 May 2011
Diffstat (limited to 'mesalib/src/gallium/auxiliary/util/u_math.h')
-rw-r--r-- | mesalib/src/gallium/auxiliary/util/u_math.h | 1304 |
1 files changed, 644 insertions, 660 deletions
diff --git a/mesalib/src/gallium/auxiliary/util/u_math.h b/mesalib/src/gallium/auxiliary/util/u_math.h index 16a9eab6d..2ecade5f7 100644 --- a/mesalib/src/gallium/auxiliary/util/u_math.h +++ b/mesalib/src/gallium/auxiliary/util/u_math.h @@ -1,660 +1,644 @@ -/**************************************************************************
- *
- * Copyright 2008 Tungsten Graphics, Inc., Cedar Park, Texas.
- * 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, sub license, 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 (including the
- * next paragraph) 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 NON-INFRINGEMENT.
- * IN NO EVENT SHALL TUNGSTEN GRAPHICS AND/OR ITS SUPPLIERS 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.
- *
- **************************************************************************/
-
-
-/**
- * Math utilities and approximations for common math functions.
- * Reduced precision is usually acceptable in shaders...
- *
- * "fast" is used in the names of functions which are low-precision,
- * or at least lower-precision than the normal C lib functions.
- */
-
-
-#ifndef U_MATH_H
-#define U_MATH_H
-
-
-#include "pipe/p_compiler.h"
-#include "util/u_debug.h"
-
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-
-#if defined(PIPE_SUBSYSTEM_WINDOWS_MINIPORT)
-__inline double ceil(double val)
-{
- double ceil_val;
-
- if ((val - (long) val) == 0) {
- ceil_val = val;
- }
- else {
- if (val > 0) {
- ceil_val = (long) val + 1;
- }
- else {
- ceil_val = (long) val;
- }
- }
-
- return ceil_val;
-}
-
-#ifndef PIPE_SUBSYSTEM_WINDOWS_CE_OGL
-__inline double floor(double val)
-{
- double floor_val;
-
- if ((val - (long) val) == 0) {
- floor_val = val;
- }
- else {
- if (val > 0) {
- floor_val = (long) val;
- }
- else {
- floor_val = (long) val - 1;
- }
- }
-
- return floor_val;
-}
-#endif
-
-#pragma function(pow)
-__inline double __cdecl pow(double val, double exponent)
-{
- /* XXX */
- assert(0);
- return 0;
-}
-
-#pragma function(log)
-__inline double __cdecl log(double val)
-{
- /* XXX */
- assert(0);
- return 0;
-}
-
-#pragma function(atan2)
-__inline double __cdecl atan2(double val)
-{
- /* XXX */
- assert(0);
- return 0;
-}
-#else
-#include <math.h>
-#include <stdarg.h>
-#endif
-
-
-#ifndef M_SQRT2
-#define M_SQRT2 1.41421356237309504880
-#endif
-
-
-#if defined(_MSC_VER)
-
-#if _MSC_VER < 1400 && !defined(__cplusplus) || defined(PIPE_SUBSYSTEM_WINDOWS_CE)
-
-static INLINE float cosf( float f )
-{
- return (float) cos( (double) f );
-}
-
-static INLINE float sinf( float f )
-{
- return (float) sin( (double) f );
-}
-
-static INLINE float ceilf( float f )
-{
- return (float) ceil( (double) f );
-}
-
-static INLINE float floorf( float f )
-{
- return (float) floor( (double) f );
-}
-
-static INLINE float powf( float f, float g )
-{
- return (float) pow( (double) f, (double) g );
-}
-
-static INLINE float sqrtf( float f )
-{
- return (float) sqrt( (double) f );
-}
-
-static INLINE float fabsf( float f )
-{
- return (float) fabs( (double) f );
-}
-
-static INLINE float logf( float f )
-{
- return (float) log( (double) f );
-}
-
-#else
-/* Work-around an extra semi-colon in VS 2005 logf definition */
-#ifdef logf
-#undef logf
-#define logf(x) ((float)log((double)(x)))
-#endif /* logf */
-
-#define isfinite(x) _finite((double)(x))
-#define isnan(x) _isnan((double)(x))
-#endif /* _MSC_VER < 1400 && !defined(__cplusplus) */
-
-static INLINE double log2( double x )
-{
- const double invln2 = 1.442695041;
- return log( x ) * invln2;
-}
-
-static INLINE double
-round(double x)
-{
- return x >= 0.0 ? floor(x + 0.5) : ceil(x - 0.5);
-}
-
-static INLINE float
-roundf(float x)
-{
- return x >= 0.0f ? floorf(x + 0.5f) : ceilf(x - 0.5f);
-}
-
-#endif /* _MSC_VER */
-
-
-
-
-
-#define POW2_TABLE_SIZE_LOG2 9
-#define POW2_TABLE_SIZE (1 << POW2_TABLE_SIZE_LOG2)
-#define POW2_TABLE_OFFSET (POW2_TABLE_SIZE/2)
-#define POW2_TABLE_SCALE ((float)(POW2_TABLE_SIZE/2))
-extern float pow2_table[POW2_TABLE_SIZE];
-
-
-/**
- * Initialize math module. This should be called before using any
- * other functions in this module.
- */
-extern void
-util_init_math(void);
-
-
-union fi {
- float f;
- int32_t i;
- uint32_t ui;
-};
-
-
-/**
- * Fast version of 2^x
- * Identity: exp2(a + b) = exp2(a) * exp2(b)
- * Let ipart = int(x)
- * Let fpart = x - ipart;
- * So, exp2(x) = exp2(ipart) * exp2(fpart)
- * Compute exp2(ipart) with i << ipart
- * Compute exp2(fpart) with lookup table.
- */
-static INLINE float
-util_fast_exp2(float x)
-{
- int32_t ipart;
- float fpart, mpart;
- union fi epart;
-
- if(x > 129.00000f)
- return 3.402823466e+38f;
-
- if (x < -126.99999f)
- return 0.0f;
-
- ipart = (int32_t) x;
- fpart = x - (float) ipart;
-
- /* same as
- * epart.f = (float) (1 << ipart)
- * but faster and without integer overflow for ipart > 31
- */
- epart.i = (ipart + 127 ) << 23;
-
- mpart = pow2_table[POW2_TABLE_OFFSET + (int)(fpart * POW2_TABLE_SCALE)];
-
- return epart.f * mpart;
-}
-
-
-/**
- * Fast approximation to exp(x).
- */
-static INLINE float
-util_fast_exp(float x)
-{
- const float k = 1.44269f; /* = log2(e) */
- return util_fast_exp2(k * x);
-}
-
-
-#define LOG2_TABLE_SIZE_LOG2 16
-#define LOG2_TABLE_SCALE (1 << LOG2_TABLE_SIZE_LOG2)
-#define LOG2_TABLE_SIZE (LOG2_TABLE_SCALE + 1)
-extern float log2_table[LOG2_TABLE_SIZE];
-
-
-/**
- * Fast approximation to log2(x).
- */
-static INLINE float
-util_fast_log2(float x)
-{
- union fi num;
- float epart, mpart;
- num.f = x;
- epart = (float)(((num.i & 0x7f800000) >> 23) - 127);
- /* mpart = log2_table[mantissa*LOG2_TABLE_SCALE + 0.5] */
- mpart = log2_table[((num.i & 0x007fffff) + (1 << (22 - LOG2_TABLE_SIZE_LOG2))) >> (23 - LOG2_TABLE_SIZE_LOG2)];
- return epart + mpart;
-}
-
-
-/**
- * Fast approximation to x^y.
- */
-static INLINE float
-util_fast_pow(float x, float y)
-{
- return util_fast_exp2(util_fast_log2(x) * y);
-}
-
-/* Note that this counts zero as a power of two.
- */
-static INLINE boolean
-util_is_power_of_two( unsigned v )
-{
- return (v & (v-1)) == 0;
-}
-
-
-/**
- * Floor(x), returned as int.
- */
-static INLINE int
-util_ifloor(float f)
-{
- int ai, bi;
- double af, bf;
- union fi u;
- af = (3 << 22) + 0.5 + (double) f;
- bf = (3 << 22) + 0.5 - (double) f;
- u.f = (float) af; ai = u.i;
- u.f = (float) bf; bi = u.i;
- return (ai - bi) >> 1;
-}
-
-
-/**
- * Round float to nearest int.
- */
-static INLINE int
-util_iround(float f)
-{
-#if defined(PIPE_CC_GCC) && defined(PIPE_ARCH_X86)
- int r;
- __asm__ ("fistpl %0" : "=m" (r) : "t" (f) : "st");
- return r;
-#elif defined(PIPE_CC_MSVC) && defined(PIPE_ARCH_X86)
- int r;
- _asm {
- fld f
- fistp r
- }
- return r;
-#else
- if (f >= 0.0f)
- return (int) (f + 0.5f);
- else
- return (int) (f - 0.5f);
-#endif
-}
-
-
-/**
- * Approximate floating point comparison
- */
-static INLINE boolean
-util_is_approx(float a, float b, float tol)
-{
- return fabs(b - a) <= tol;
-}
-
-
-/**
- * Test if x is NaN or +/- infinity.
- */
-static INLINE boolean
-util_is_inf_or_nan(float x)
-{
- union fi tmp;
- tmp.f = x;
- return !(int)((unsigned int)((tmp.i & 0x7fffffff)-0x7f800000) >> 31);
-}
-
-
-/**
- * Find first bit set in word. Least significant bit is 1.
- * Return 0 if no bits set.
- */
-#if defined(_MSC_VER) && _MSC_VER >= 1300 && (_M_IX86 || _M_AMD64 || _M_IA64)
-unsigned char _BitScanForward(unsigned long* Index, unsigned long Mask);
-#pragma intrinsic(_BitScanForward)
-static INLINE
-unsigned long ffs( unsigned long u )
-{
- unsigned long i;
- if (_BitScanForward(&i, u))
- return i + 1;
- else
- return 0;
-}
-#elif defined(PIPE_CC_MSVC) && defined(PIPE_ARCH_X86)
-static INLINE
-unsigned ffs( unsigned u )
-{
- unsigned i;
-
- if (u == 0) {
- return 0;
- }
-
- __asm bsf eax, [u]
- __asm inc eax
- __asm mov [i], eax
-
- return i;
-}
-#elif defined(__MINGW32__)
-#define ffs __builtin_ffs
-#endif
-
-#ifdef __MINGW32__
-#define ffs __builtin_ffs
-#endif
-
-
-/* Could also binary search for the highest bit.
- */
-static INLINE unsigned
-util_unsigned_logbase2(unsigned n)
-{
- unsigned log2 = 0;
- while (n >>= 1)
- ++log2;
- return log2;
-}
-
-
-/**
- * Return float bits.
- */
-static INLINE unsigned
-fui( float f )
-{
- union fi fi;
- fi.f = f;
- return fi.ui;
-}
-
-
-/**
- * Convert ubyte to float in [0, 1].
- * XXX a 256-entry lookup table would be slightly faster.
- */
-static INLINE float
-ubyte_to_float(ubyte ub)
-{
- return (float) ub * (1.0f / 255.0f);
-}
-
-
-/**
- * Convert float in [0,1] to ubyte in [0,255] with clamping.
- */
-static INLINE ubyte
-float_to_ubyte(float f)
-{
- const int ieee_0996 = 0x3f7f0000; /* 0.996 or so */
- union fi tmp;
-
- tmp.f = f;
- if (tmp.i < 0) {
- return (ubyte) 0;
- }
- else if (tmp.i >= ieee_0996) {
- return (ubyte) 255;
- }
- else {
- tmp.f = tmp.f * (255.0f/256.0f) + 32768.0f;
- return (ubyte) tmp.i;
- }
-}
-
-static INLINE float
-byte_to_float_tex(int8_t b)
-{
- return (b == -128) ? -1.0F : b * 1.0F / 127.0F;
-}
-
-static INLINE int8_t
-float_to_byte_tex(float f)
-{
- return (int8_t) (127.0F * f);
-}
-
-/**
- * Calc log base 2
- */
-static INLINE unsigned
-util_logbase2(unsigned n)
-{
- unsigned log2 = 0;
- while (n >>= 1)
- ++log2;
- return log2;
-}
-
-
-/**
- * Returns the smallest power of two >= x
- */
-static INLINE unsigned
-util_next_power_of_two(unsigned x)
-{
- unsigned i;
-
- if (x == 0)
- return 1;
-
- --x;
-
- for (i = 1; i < sizeof(unsigned) * 8; i <<= 1)
- x |= x >> i;
-
- return x + 1;
-}
-
-
-/**
- * Return number of bits set in n.
- */
-static INLINE unsigned
-util_bitcount(unsigned n)
-{
-#if defined(PIPE_CC_GCC)
- return __builtin_popcount(n);
-#else
- /* K&R classic bitcount.
- *
- * For each iteration, clear the LSB from the bitfield.
- * Requires only one iteration per set bit, instead of
- * one iteration per bit less than highest set bit.
- */
- unsigned bits = 0;
- for (bits; n; bits++) {
- n &= n - 1;
- }
- return bits;
-#endif
-}
-
-
-/**
- * Reverse byte order of a 32 bit word.
- */
-static INLINE uint32_t
-util_bswap32(uint32_t n)
-{
-#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 403)
- return __builtin_bswap32(n);
-#else
- return (n >> 24) |
- ((n >> 8) & 0x0000ff00) |
- ((n << 8) & 0x00ff0000) |
- (n << 24);
-#endif
-}
-
-
-/**
- * Reverse byte order of a 16 bit word.
- */
-static INLINE uint16_t
-util_bswap16(uint16_t n)
-{
- return (n >> 8) |
- (n << 8);
-}
-
-
-/**
- * Clamp X to [MIN, MAX].
- * This is a macro to allow float, int, uint, etc. types.
- */
-#define CLAMP( X, MIN, MAX ) ( (X)<(MIN) ? (MIN) : ((X)>(MAX) ? (MAX) : (X)) )
-
-#define MIN2( A, B ) ( (A)<(B) ? (A) : (B) )
-#define MAX2( A, B ) ( (A)>(B) ? (A) : (B) )
-
-#define MIN3( A, B, C ) ((A) < (B) ? MIN2(A, C) : MIN2(B, C))
-#define MAX3( A, B, C ) ((A) > (B) ? MAX2(A, C) : MAX2(B, C))
-
-#define MIN4( A, B, C, D ) ((A) < (B) ? MIN3(A, C, D) : MIN3(B, C, D))
-#define MAX4( A, B, C, D ) ((A) > (B) ? MAX3(A, C, D) : MAX3(B, C, D))
-
-
-/**
- * Align a value, only works pot alignemnts.
- */
-static INLINE int
-align(int value, int alignment)
-{
- return (value + alignment - 1) & ~(alignment - 1);
-}
-
-/**
- * Works like align but on npot alignments.
- */
-static INLINE size_t
-util_align_npot(size_t value, size_t alignment)
-{
- if (value % alignment)
- return value + (alignment - (value % alignment));
- return value;
-}
-
-static INLINE unsigned
-u_minify(unsigned value, unsigned levels)
-{
- return MAX2(1, value >> levels);
-}
-
-#ifndef COPY_4V
-#define COPY_4V( DST, SRC ) \
-do { \
- (DST)[0] = (SRC)[0]; \
- (DST)[1] = (SRC)[1]; \
- (DST)[2] = (SRC)[2]; \
- (DST)[3] = (SRC)[3]; \
-} while (0)
-#endif
-
-
-#ifndef COPY_4FV
-#define COPY_4FV( DST, SRC ) COPY_4V(DST, SRC)
-#endif
-
-
-#ifndef ASSIGN_4V
-#define ASSIGN_4V( DST, V0, V1, V2, V3 ) \
-do { \
- (DST)[0] = (V0); \
- (DST)[1] = (V1); \
- (DST)[2] = (V2); \
- (DST)[3] = (V3); \
-} while (0)
-#endif
-
-
-static INLINE uint32_t util_unsigned_fixed(float value, unsigned frac_bits)
-{
- return value < 0 ? 0 : (uint32_t)(value * (1<<frac_bits));
-}
-
-static INLINE int32_t util_signed_fixed(float value, unsigned frac_bits)
-{
- return (int32_t)(value * (1<<frac_bits));
-}
-
-
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif /* U_MATH_H */
+/************************************************************************** + * + * Copyright 2008 Tungsten Graphics, Inc., Cedar Park, Texas. + * 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, sub license, 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 (including the + * next paragraph) 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 NON-INFRINGEMENT. + * IN NO EVENT SHALL TUNGSTEN GRAPHICS AND/OR ITS SUPPLIERS 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. + * + **************************************************************************/ + + +/** + * Math utilities and approximations for common math functions. + * Reduced precision is usually acceptable in shaders... + * + * "fast" is used in the names of functions which are low-precision, + * or at least lower-precision than the normal C lib functions. + */ + + +#ifndef U_MATH_H +#define U_MATH_H + + +#include "pipe/p_compiler.h" +#include "util/u_debug.h" + + +#ifdef __cplusplus +extern "C" { +#endif + + +#if defined(PIPE_SUBSYSTEM_WINDOWS_MINIPORT) +__inline double ceil(double val) +{ + double ceil_val; + + if ((val - (long) val) == 0) { + ceil_val = val; + } + else { + if (val > 0) { + ceil_val = (long) val + 1; + } + else { + ceil_val = (long) val; + } + } + + return ceil_val; +} + +#ifndef PIPE_SUBSYSTEM_WINDOWS_CE_OGL +__inline double floor(double val) +{ + double floor_val; + + if ((val - (long) val) == 0) { + floor_val = val; + } + else { + if (val > 0) { + floor_val = (long) val; + } + else { + floor_val = (long) val - 1; + } + } + + return floor_val; +} +#endif + +#pragma function(pow) +__inline double __cdecl pow(double val, double exponent) +{ + /* XXX */ + assert(0); + return 0; +} + +#pragma function(log) +__inline double __cdecl log(double val) +{ + /* XXX */ + assert(0); + return 0; +} + +#pragma function(atan2) +__inline double __cdecl atan2(double val) +{ + /* XXX */ + assert(0); + return 0; +} +#else +#include <math.h> +#include <stdarg.h> +#endif + + +#ifndef M_SQRT2 +#define M_SQRT2 1.41421356237309504880 +#endif + + +#if defined(_MSC_VER) + +#if _MSC_VER < 1400 && !defined(__cplusplus) || defined(PIPE_SUBSYSTEM_WINDOWS_CE) + +static INLINE float cosf( float f ) +{ + return (float) cos( (double) f ); +} + +static INLINE float sinf( float f ) +{ + return (float) sin( (double) f ); +} + +static INLINE float ceilf( float f ) +{ + return (float) ceil( (double) f ); +} + +static INLINE float floorf( float f ) +{ + return (float) floor( (double) f ); +} + +static INLINE float powf( float f, float g ) +{ + return (float) pow( (double) f, (double) g ); +} + +static INLINE float sqrtf( float f ) +{ + return (float) sqrt( (double) f ); +} + +static INLINE float fabsf( float f ) +{ + return (float) fabs( (double) f ); +} + +static INLINE float logf( float f ) +{ + return (float) log( (double) f ); +} + +#else +/* Work-around an extra semi-colon in VS 2005 logf definition */ +#ifdef logf +#undef logf +#define logf(x) ((float)log((double)(x))) +#endif /* logf */ + +#define isfinite(x) _finite((double)(x)) +#define isnan(x) _isnan((double)(x)) +#endif /* _MSC_VER < 1400 && !defined(__cplusplus) */ + +static INLINE double log2( double x ) +{ + const double invln2 = 1.442695041; + return log( x ) * invln2; +} + +static INLINE double +round(double x) +{ + return x >= 0.0 ? floor(x + 0.5) : ceil(x - 0.5); +} + +static INLINE float +roundf(float x) +{ + return x >= 0.0f ? floorf(x + 0.5f) : ceilf(x - 0.5f); +} + +#endif /* _MSC_VER */ + + + + + +#define POW2_TABLE_SIZE_LOG2 9 +#define POW2_TABLE_SIZE (1 << POW2_TABLE_SIZE_LOG2) +#define POW2_TABLE_OFFSET (POW2_TABLE_SIZE/2) +#define POW2_TABLE_SCALE ((float)(POW2_TABLE_SIZE/2)) +extern float pow2_table[POW2_TABLE_SIZE]; + + +/** + * Initialize math module. This should be called before using any + * other functions in this module. + */ +extern void +util_init_math(void); + + +union fi { + float f; + int32_t i; + uint32_t ui; +}; + + +/** + * Fast version of 2^x + * Identity: exp2(a + b) = exp2(a) * exp2(b) + * Let ipart = int(x) + * Let fpart = x - ipart; + * So, exp2(x) = exp2(ipart) * exp2(fpart) + * Compute exp2(ipart) with i << ipart + * Compute exp2(fpart) with lookup table. + */ +static INLINE float +util_fast_exp2(float x) +{ + int32_t ipart; + float fpart, mpart; + union fi epart; + + if(x > 129.00000f) + return 3.402823466e+38f; + + if (x < -126.99999f) + return 0.0f; + + ipart = (int32_t) x; + fpart = x - (float) ipart; + + /* same as + * epart.f = (float) (1 << ipart) + * but faster and without integer overflow for ipart > 31 + */ + epart.i = (ipart + 127 ) << 23; + + mpart = pow2_table[POW2_TABLE_OFFSET + (int)(fpart * POW2_TABLE_SCALE)]; + + return epart.f * mpart; +} + + +/** + * Fast approximation to exp(x). + */ +static INLINE float +util_fast_exp(float x) +{ + const float k = 1.44269f; /* = log2(e) */ + return util_fast_exp2(k * x); +} + + +#define LOG2_TABLE_SIZE_LOG2 16 +#define LOG2_TABLE_SCALE (1 << LOG2_TABLE_SIZE_LOG2) +#define LOG2_TABLE_SIZE (LOG2_TABLE_SCALE + 1) +extern float log2_table[LOG2_TABLE_SIZE]; + + +/** + * Fast approximation to log2(x). + */ +static INLINE float +util_fast_log2(float x) +{ + union fi num; + float epart, mpart; + num.f = x; + epart = (float)(((num.i & 0x7f800000) >> 23) - 127); + /* mpart = log2_table[mantissa*LOG2_TABLE_SCALE + 0.5] */ + mpart = log2_table[((num.i & 0x007fffff) + (1 << (22 - LOG2_TABLE_SIZE_LOG2))) >> (23 - LOG2_TABLE_SIZE_LOG2)]; + return epart + mpart; +} + + +/** + * Fast approximation to x^y. + */ +static INLINE float +util_fast_pow(float x, float y) +{ + return util_fast_exp2(util_fast_log2(x) * y); +} + +/* Note that this counts zero as a power of two. + */ +static INLINE boolean +util_is_power_of_two( unsigned v ) +{ + return (v & (v-1)) == 0; +} + + +/** + * Floor(x), returned as int. + */ +static INLINE int +util_ifloor(float f) +{ + int ai, bi; + double af, bf; + union fi u; + af = (3 << 22) + 0.5 + (double) f; + bf = (3 << 22) + 0.5 - (double) f; + u.f = (float) af; ai = u.i; + u.f = (float) bf; bi = u.i; + return (ai - bi) >> 1; +} + + +/** + * Round float to nearest int. + */ +static INLINE int +util_iround(float f) +{ +#if defined(PIPE_CC_GCC) && defined(PIPE_ARCH_X86) + int r; + __asm__ ("fistpl %0" : "=m" (r) : "t" (f) : "st"); + return r; +#elif defined(PIPE_CC_MSVC) && defined(PIPE_ARCH_X86) + int r; + _asm { + fld f + fistp r + } + return r; +#else + if (f >= 0.0f) + return (int) (f + 0.5f); + else + return (int) (f - 0.5f); +#endif +} + + +/** + * Approximate floating point comparison + */ +static INLINE boolean +util_is_approx(float a, float b, float tol) +{ + return fabs(b - a) <= tol; +} + + +/** + * Test if x is NaN or +/- infinity. + */ +static INLINE boolean +util_is_inf_or_nan(float x) +{ + union fi tmp; + tmp.f = x; + return !(int)((unsigned int)((tmp.i & 0x7fffffff)-0x7f800000) >> 31); +} + + +/** + * Find first bit set in word. Least significant bit is 1. + * Return 0 if no bits set. + */ +#if defined(_MSC_VER) && _MSC_VER >= 1300 && (_M_IX86 || _M_AMD64 || _M_IA64) +unsigned char _BitScanForward(unsigned long* Index, unsigned long Mask); +#pragma intrinsic(_BitScanForward) +static INLINE +unsigned long ffs( unsigned long u ) +{ + unsigned long i; + if (_BitScanForward(&i, u)) + return i + 1; + else + return 0; +} +#elif defined(PIPE_CC_MSVC) && defined(PIPE_ARCH_X86) +static INLINE +unsigned ffs( unsigned u ) +{ + unsigned i; + + if (u == 0) { + return 0; + } + + __asm bsf eax, [u] + __asm inc eax + __asm mov [i], eax + + return i; +} +#elif defined(__MINGW32__) +#define ffs __builtin_ffs +#endif + + +/** + * Return float bits. + */ +static INLINE unsigned +fui( float f ) +{ + union fi fi; + fi.f = f; + return fi.ui; +} + + +/** + * Convert ubyte to float in [0, 1]. + * XXX a 256-entry lookup table would be slightly faster. + */ +static INLINE float +ubyte_to_float(ubyte ub) +{ + return (float) ub * (1.0f / 255.0f); +} + + +/** + * Convert float in [0,1] to ubyte in [0,255] with clamping. + */ +static INLINE ubyte +float_to_ubyte(float f) +{ + const int ieee_0996 = 0x3f7f0000; /* 0.996 or so */ + union fi tmp; + + tmp.f = f; + if (tmp.i < 0) { + return (ubyte) 0; + } + else if (tmp.i >= ieee_0996) { + return (ubyte) 255; + } + else { + tmp.f = tmp.f * (255.0f/256.0f) + 32768.0f; + return (ubyte) tmp.i; + } +} + +static INLINE float +byte_to_float_tex(int8_t b) +{ + return (b == -128) ? -1.0F : b * 1.0F / 127.0F; +} + +static INLINE int8_t +float_to_byte_tex(float f) +{ + return (int8_t) (127.0F * f); +} + +/** + * Calc log base 2 + */ +static INLINE unsigned +util_logbase2(unsigned n) +{ + unsigned log2 = 0; + while (n >>= 1) + ++log2; + return log2; +} + + +/** + * Returns the smallest power of two >= x + */ +static INLINE unsigned +util_next_power_of_two(unsigned x) +{ + unsigned i; + + if (x == 0) + return 1; + + --x; + + for (i = 1; i < sizeof(unsigned) * 8; i <<= 1) + x |= x >> i; + + return x + 1; +} + + +/** + * Return number of bits set in n. + */ +static INLINE unsigned +util_bitcount(unsigned n) +{ +#if defined(PIPE_CC_GCC) + return __builtin_popcount(n); +#else + /* K&R classic bitcount. + * + * For each iteration, clear the LSB from the bitfield. + * Requires only one iteration per set bit, instead of + * one iteration per bit less than highest set bit. + */ + unsigned bits = 0; + for (bits; n; bits++) { + n &= n - 1; + } + return bits; +#endif +} + + +/** + * Reverse byte order of a 32 bit word. + */ +static INLINE uint32_t +util_bswap32(uint32_t n) +{ +#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 403) + return __builtin_bswap32(n); +#else + return (n >> 24) | + ((n >> 8) & 0x0000ff00) | + ((n << 8) & 0x00ff0000) | + (n << 24); +#endif +} + + +/** + * Reverse byte order of a 16 bit word. + */ +static INLINE uint16_t +util_bswap16(uint16_t n) +{ + return (n >> 8) | + (n << 8); +} + + +/** + * Clamp X to [MIN, MAX]. + * This is a macro to allow float, int, uint, etc. types. + */ +#define CLAMP( X, MIN, MAX ) ( (X)<(MIN) ? (MIN) : ((X)>(MAX) ? (MAX) : (X)) ) + +#define MIN2( A, B ) ( (A)<(B) ? (A) : (B) ) +#define MAX2( A, B ) ( (A)>(B) ? (A) : (B) ) + +#define MIN3( A, B, C ) ((A) < (B) ? MIN2(A, C) : MIN2(B, C)) +#define MAX3( A, B, C ) ((A) > (B) ? MAX2(A, C) : MAX2(B, C)) + +#define MIN4( A, B, C, D ) ((A) < (B) ? MIN3(A, C, D) : MIN3(B, C, D)) +#define MAX4( A, B, C, D ) ((A) > (B) ? MAX3(A, C, D) : MAX3(B, C, D)) + + +/** + * Align a value, only works pot alignemnts. + */ +static INLINE int +align(int value, int alignment) +{ + return (value + alignment - 1) & ~(alignment - 1); +} + +/** + * Works like align but on npot alignments. + */ +static INLINE size_t +util_align_npot(size_t value, size_t alignment) +{ + if (value % alignment) + return value + (alignment - (value % alignment)); + return value; +} + +static INLINE unsigned +u_minify(unsigned value, unsigned levels) +{ + return MAX2(1, value >> levels); +} + +#ifndef COPY_4V +#define COPY_4V( DST, SRC ) \ +do { \ + (DST)[0] = (SRC)[0]; \ + (DST)[1] = (SRC)[1]; \ + (DST)[2] = (SRC)[2]; \ + (DST)[3] = (SRC)[3]; \ +} while (0) +#endif + + +#ifndef COPY_4FV +#define COPY_4FV( DST, SRC ) COPY_4V(DST, SRC) +#endif + + +#ifndef ASSIGN_4V +#define ASSIGN_4V( DST, V0, V1, V2, V3 ) \ +do { \ + (DST)[0] = (V0); \ + (DST)[1] = (V1); \ + (DST)[2] = (V2); \ + (DST)[3] = (V3); \ +} while (0) +#endif + + +static INLINE uint32_t util_unsigned_fixed(float value, unsigned frac_bits) +{ + return value < 0 ? 0 : (uint32_t)(value * (1<<frac_bits)); +} + +static INLINE int32_t util_signed_fixed(float value, unsigned frac_bits) +{ + return (int32_t)(value * (1<<frac_bits)); +} + + + +#ifdef __cplusplus +} +#endif + +#endif /* U_MATH_H */ |