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/*
* Copyright (C) 2005 The Android Open Source Project
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#ifndef ANDROID_GGL_FIXED_H
#define ANDROID_GGL_FIXED_H
#include <math.h>
#include <pixelflinger/pixelflinger.h>
// ----------------------------------------------------------------------------
#define CONST __attribute__((const))
#define ALWAYS_INLINE __attribute__((always_inline))
const GGLfixed FIXED_BITS = 16;
const GGLfixed FIXED_EPSILON = 1;
const GGLfixed FIXED_ONE = 1L<<FIXED_BITS;
const GGLfixed FIXED_HALF = 1L<<(FIXED_BITS-1);
const GGLfixed FIXED_MIN = 0x80000000L;
const GGLfixed FIXED_MAX = 0x7FFFFFFFL;
inline GGLfixed gglIntToFixed(GGLfixed i) ALWAYS_INLINE ;
inline GGLfixed gglFixedToIntRound(GGLfixed f) ALWAYS_INLINE ;
inline GGLfixed gglFixedToIntFloor(GGLfixed f) ALWAYS_INLINE ;
inline GGLfixed gglFixedToIntCeil(GGLfixed f) ALWAYS_INLINE ;
inline GGLfixed gglFracx(GGLfixed v) ALWAYS_INLINE ;
inline GGLfixed gglFloorx(GGLfixed v) ALWAYS_INLINE ;
inline GGLfixed gglCeilx(GGLfixed v) ALWAYS_INLINE ;
inline GGLfixed gglCenterx(GGLfixed v) ALWAYS_INLINE ;
inline GGLfixed gglRoundx(GGLfixed v) ALWAYS_INLINE ;
GGLfixed gglIntToFixed(GGLfixed i) {
return i<<FIXED_BITS;
}
GGLfixed gglFixedToIntRound(GGLfixed f) {
return (f + FIXED_HALF)>>FIXED_BITS;
}
GGLfixed gglFixedToIntFloor(GGLfixed f) {
return f>>FIXED_BITS;
}
GGLfixed gglFixedToIntCeil(GGLfixed f) {
return (f + ((1<<FIXED_BITS) - 1))>>FIXED_BITS;
}
GGLfixed gglFracx(GGLfixed v) {
return v & ((1<<FIXED_BITS)-1);
}
GGLfixed gglFloorx(GGLfixed v) {
return gglFixedToIntFloor(v)<<FIXED_BITS;
}
GGLfixed gglCeilx(GGLfixed v) {
return gglFixedToIntCeil(v)<<FIXED_BITS;
}
GGLfixed gglCenterx(GGLfixed v) {
return gglFloorx(v + FIXED_HALF) | FIXED_HALF;
}
GGLfixed gglRoundx(GGLfixed v) {
return gglFixedToIntRound(v)<<FIXED_BITS;
}
// conversion from (unsigned) int, short, byte to fixed...
#define GGL_B_TO_X(_x) GGLfixed( ((int32_t(_x)+1)>>1)<<10 )
#define GGL_S_TO_X(_x) GGLfixed( ((int32_t(_x)+1)>>1)<<2 )
#define GGL_I_TO_X(_x) GGLfixed( ((int32_t(_x)>>1)+1)>>14 )
#define GGL_UB_TO_X(_x) GGLfixed( uint32_t(_x) + \
(uint32_t(_x)<<8) + \
(uint32_t(_x)>>7) )
#define GGL_US_TO_X(_x) GGLfixed( (_x) + ((_x)>>15) )
#define GGL_UI_TO_X(_x) GGLfixed( (((_x)>>1)+1)>>15 )
// ----------------------------------------------------------------------------
GGLfixed gglPowx(GGLfixed x, GGLfixed y) CONST;
GGLfixed gglSqrtx(GGLfixed a) CONST;
GGLfixed gglSqrtRecipx(GGLfixed x) CONST;
GGLfixed gglFastDivx(GGLfixed n, GGLfixed d) CONST;
int32_t gglMulDivi(int32_t a, int32_t b, int32_t c);
int32_t gglRecipQNormalized(int32_t x, int* exponent);
int32_t gglRecipQ(GGLfixed x, int q) CONST;
inline GGLfixed gglRecip(GGLfixed x) CONST;
inline GGLfixed gglRecip(GGLfixed x) {
return gglRecipQ(x, 16);
}
inline GGLfixed gglRecip28(GGLfixed x) CONST;
int32_t gglRecip28(GGLfixed x) {
return gglRecipQ(x, 28);
}
// ----------------------------------------------------------------------------
#if defined(__arm__) && !defined(__thumb__)
// inline ARM implementations
inline GGLfixed gglMulx(GGLfixed x, GGLfixed y, int shift) CONST;
inline GGLfixed gglMulx(GGLfixed x, GGLfixed y, int shift) {
GGLfixed result, t;
if (__builtin_constant_p(shift)) {
asm("smull %[lo], %[hi], %[x], %[y] \n"
"movs %[lo], %[lo], lsr %[rshift] \n"
"adc %[lo], %[lo], %[hi], lsl %[lshift] \n"
: [lo]"=r"(result), [hi]"=r"(t), [x]"=r"(x)
: "%[x]"(x), [y]"r"(y), [lshift] "I"(32-shift), [rshift] "I"(shift)
: "cc"
);
} else {
asm("smull %[lo], %[hi], %[x], %[y] \n"
"movs %[lo], %[lo], lsr %[rshift] \n"
"adc %[lo], %[lo], %[hi], lsl %[lshift] \n"
: [lo]"=&r"(result), [hi]"=&r"(t), [x]"=&r"(x)
: "%[x]"(x), [y]"r"(y), [lshift] "r"(32-shift), [rshift] "r"(shift)
: "cc"
);
}
return result;
}
inline GGLfixed gglMulAddx(GGLfixed x, GGLfixed y, GGLfixed a, int shift) CONST;
inline GGLfixed gglMulAddx(GGLfixed x, GGLfixed y, GGLfixed a, int shift) {
GGLfixed result, t;
if (__builtin_constant_p(shift)) {
asm("smull %[lo], %[hi], %[x], %[y] \n"
"add %[lo], %[a], %[lo], lsr %[rshift] \n"
"add %[lo], %[lo], %[hi], lsl %[lshift] \n"
: [lo]"=&r"(result), [hi]"=&r"(t), [x]"=&r"(x)
: "%[x]"(x), [y]"r"(y), [a]"r"(a), [lshift] "I"(32-shift), [rshift] "I"(shift)
);
} else {
asm("smull %[lo], %[hi], %[x], %[y] \n"
"add %[lo], %[a], %[lo], lsr %[rshift] \n"
"add %[lo], %[lo], %[hi], lsl %[lshift] \n"
: [lo]"=&r"(result), [hi]"=&r"(t), [x]"=&r"(x)
: "%[x]"(x), [y]"r"(y), [a]"r"(a), [lshift] "r"(32-shift), [rshift] "r"(shift)
);
}
return result;
}
inline GGLfixed gglMulSubx(GGLfixed x, GGLfixed y, GGLfixed a, int shift) CONST;
inline GGLfixed gglMulSubx(GGLfixed x, GGLfixed y, GGLfixed a, int shift) {
GGLfixed result, t;
if (__builtin_constant_p(shift)) {
asm("smull %[lo], %[hi], %[x], %[y] \n"
"rsb %[lo], %[a], %[lo], lsr %[rshift] \n"
"add %[lo], %[lo], %[hi], lsl %[lshift] \n"
: [lo]"=&r"(result), [hi]"=&r"(t), [x]"=&r"(x)
: "%[x]"(x), [y]"r"(y), [a]"r"(a), [lshift] "I"(32-shift), [rshift] "I"(shift)
);
} else {
asm("smull %[lo], %[hi], %[x], %[y] \n"
"rsb %[lo], %[a], %[lo], lsr %[rshift] \n"
"add %[lo], %[lo], %[hi], lsl %[lshift] \n"
: [lo]"=&r"(result), [hi]"=&r"(t), [x]"=&r"(x)
: "%[x]"(x), [y]"r"(y), [a]"r"(a), [lshift] "r"(32-shift), [rshift] "r"(shift)
);
}
return result;
}
inline int64_t gglMulii(int32_t x, int32_t y) CONST;
inline int64_t gglMulii(int32_t x, int32_t y)
{
// 64-bits result: r0=low, r1=high
union {
struct {
int32_t lo;
int32_t hi;
} s;
int64_t res;
};
asm("smull %0, %1, %2, %3 \n"
: "=r"(s.lo), "=&r"(s.hi)
: "%r"(x), "r"(y)
:
);
return res;
}
#else // ----------------------------------------------------------------------
inline GGLfixed gglMulx(GGLfixed a, GGLfixed b, int shift) CONST;
inline GGLfixed gglMulx(GGLfixed a, GGLfixed b, int shift) {
return GGLfixed((int64_t(a)*b + (1<<(shift-1)))>>shift);
}
inline GGLfixed gglMulAddx(GGLfixed a, GGLfixed b, GGLfixed c, int shift) CONST;
inline GGLfixed gglMulAddx(GGLfixed a, GGLfixed b, GGLfixed c, int shift) {
return GGLfixed((int64_t(a)*b)>>shift) + c;
}
inline GGLfixed gglMulSubx(GGLfixed a, GGLfixed b, GGLfixed c, int shift) CONST;
inline GGLfixed gglMulSubx(GGLfixed a, GGLfixed b, GGLfixed c, int shift) {
return GGLfixed((int64_t(a)*b)>>shift) - c;
}
inline int64_t gglMulii(int32_t a, int32_t b) CONST;
inline int64_t gglMulii(int32_t a, int32_t b) {
return int64_t(a)*b;
}
#endif
// ------------------------------------------------------------------------
inline GGLfixed gglMulx(GGLfixed a, GGLfixed b) CONST;
inline GGLfixed gglMulx(GGLfixed a, GGLfixed b) {
return gglMulx(a, b, 16);
}
inline GGLfixed gglMulAddx(GGLfixed a, GGLfixed b, GGLfixed c) CONST;
inline GGLfixed gglMulAddx(GGLfixed a, GGLfixed b, GGLfixed c) {
return gglMulAddx(a, b, c, 16);
}
inline GGLfixed gglMulSubx(GGLfixed a, GGLfixed b, GGLfixed c) CONST;
inline GGLfixed gglMulSubx(GGLfixed a, GGLfixed b, GGLfixed c) {
return gglMulSubx(a, b, c, 16);
}
// ------------------------------------------------------------------------
inline int32_t gglClz(int32_t x) CONST;
inline int32_t gglClz(int32_t x)
{
#if defined(__arm__) && !defined(__thumb__)
return __builtin_clz(x);
#else
if (!x) return 32;
int32_t exp = 31;
if (x & 0xFFFF0000) { exp -=16; x >>= 16; }
if (x & 0x0000ff00) { exp -= 8; x >>= 8; }
if (x & 0x000000f0) { exp -= 4; x >>= 4; }
if (x & 0x0000000c) { exp -= 2; x >>= 2; }
if (x & 0x00000002) { exp -= 1; }
return exp;
#endif
}
// ------------------------------------------------------------------------
int32_t gglDivQ(GGLfixed n, GGLfixed d, int32_t i) CONST;
inline int32_t gglDivQ16(GGLfixed n, GGLfixed d) CONST;
inline int32_t gglDivQ16(GGLfixed n, GGLfixed d) {
return gglDivQ(n, d, 16);
}
inline int32_t gglDivx(GGLfixed n, GGLfixed d) CONST;
inline int32_t gglDivx(GGLfixed n, GGLfixed d) {
return gglDivQ(n, d, 16);
}
// ------------------------------------------------------------------------
inline GGLfixed gglRecipFast(GGLfixed x) CONST;
inline GGLfixed gglRecipFast(GGLfixed x)
{
// This is a really bad approximation of 1/x, but it's also
// very fast. x must be strictly positive.
// if x between [0.5, 1[ , then 1/x = 3-2*x
// (we use 2.30 fixed-point)
const int32_t lz = gglClz(x);
return (0xC0000000 - (x << (lz - 1))) >> (30-lz);
}
// ------------------------------------------------------------------------
inline GGLfixed gglClampx(GGLfixed c) CONST;
inline GGLfixed gglClampx(GGLfixed c)
{
#if defined(__thumb__)
// clamp without branches
c &= ~(c>>31); c = FIXED_ONE - c;
c &= ~(c>>31); c = FIXED_ONE - c;
#else
#if defined(__arm__)
// I don't know why gcc thinks its smarter than me! The code below
// clamps to zero in one instruction, but gcc won't generate it and
// replace it by a cmp + movlt (it's quite amazing actually).
asm("bic %0, %1, %1, asr #31\n" : "=r"(c) : "r"(c));
#else
c &= ~(c>>31);
#endif
if (c>FIXED_ONE)
c = FIXED_ONE;
#endif
return c;
}
// ------------------------------------------------------------------------
#endif // ANDROID_GGL_FIXED_H
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