Synchronised line endinge with release branch

1 files changed, 673 insertions, 673 deletions

diff --git a/mesalib/src/gallium/auxiliary/util/u_math.h b/mesalib/src/gallium/auxiliary/util/u_math.h
index eb3fc4cb6..46d932293 100644
--- a/mesalib/src/gallium/auxiliary/util/u_math.h
+++ b/mesalib/src/gallium/auxiliary/util/u_math.h
@@ -1,673 +1,673 @@
-/**************************************************************************

- * 

- * 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 */

-

-

-#ifdef PIPE_OS_ANDROID

-

-static INLINE

-double log2(double d)

-{

-   return log(d) * (1.0 / M_LN2);

-}

-

-#endif

-

-

-

-

-#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__) || defined(PIPE_OS_ANDROID)

-#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)

-{

-#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 304)

-   return ((sizeof(unsigned) * 8 - 1) - __builtin_clz(n | 1));

-#else

-   unsigned pos = 0;

-   if (n >= 1<<16) { n >>= 16; pos += 16; }

-   if (n >= 1<< 8) { n >>=  8; pos +=  8; }

-   if (n >= 1<< 4) { n >>=  4; pos +=  4; }

-   if (n >= 1<< 2) { n >>=  2; pos +=  2; }

-   if (n >= 1<< 1) {           pos +=  1; }

-   return pos;

-#endif

-}

-

-

-/**

- * Returns the smallest power of two >= x

- */

-static INLINE unsigned

-util_next_power_of_two(unsigned x)

-{

-#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 304)

-   if (x <= 1)

-       return 1;

-

-   return (1 << ((sizeof(unsigned) * 8) - __builtin_clz(x - 1)));

-#else

-   unsigned val = x;

-

-   if (x <= 1)

-      return 1;

-

-   if (util_is_power_of_two(x))

-      return x;

-

-   val--;

-   val = (val >> 1) | val;

-   val = (val >> 2) | val;

-   val = (val >> 4) | val;

-   val = (val >> 8) | val;

-   val = (val >> 16) | val;

-   val++;

-   return val;

-#endif

-}

-

-

-/**

- * Return number of bits set in n.

- */

-static INLINE unsigned

-util_bitcount(unsigned n)

-{

-#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 304)

-   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 */
+
+
+#ifdef PIPE_OS_ANDROID
+
+static INLINE
+double log2(double d)
+{
+   return log(d) * (1.0 / M_LN2);
+}
+
+#endif
+
+
+
+
+#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__) || defined(PIPE_OS_ANDROID)
+#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)
+{
+#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 304)
+   return ((sizeof(unsigned) * 8 - 1) - __builtin_clz(n | 1));
+#else
+   unsigned pos = 0;
+   if (n >= 1<<16) { n >>= 16; pos += 16; }
+   if (n >= 1<< 8) { n >>=  8; pos +=  8; }
+   if (n >= 1<< 4) { n >>=  4; pos +=  4; }
+   if (n >= 1<< 2) { n >>=  2; pos +=  2; }
+   if (n >= 1<< 1) {           pos +=  1; }
+   return pos;
+#endif
+}
+
+
+/**
+ * Returns the smallest power of two >= x
+ */
+static INLINE unsigned
+util_next_power_of_two(unsigned x)
+{
+#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 304)
+   if (x <= 1)
+       return 1;
+
+   return (1 << ((sizeof(unsigned) * 8) - __builtin_clz(x - 1)));
+#else
+   unsigned val = x;
+
+   if (x <= 1)
+      return 1;
+
+   if (util_is_power_of_two(x))
+      return x;
+
+   val--;
+   val = (val >> 1) | val;
+   val = (val >> 2) | val;
+   val = (val >> 4) | val;
+   val = (val >> 8) | val;
+   val = (val >> 16) | val;
+   val++;
+   return val;
+#endif
+}
+
+
+/**
+ * Return number of bits set in n.
+ */
+static INLINE unsigned
+util_bitcount(unsigned n)
+{
+#if defined(PIPE_CC_GCC) && (PIPE_CC_GCC_VERSION >= 304)
+   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 */