/* * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 2 of the License, or * (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ // Fixed-point math routines (signed 19.12) // Largest positive value: 524287.999755859375 // Smallest positive value: 0.000244140625 #define FRAC_BITS 12 #define INT_MASK 0x7FFFF000 // 20 bits #define FIXED_1 4096 // (1 << FRAC_BITS) #define FIXED_255 1044480 // (255 << FRAC_BITS) #define FIXED_HALF 2048 // (fixed_t)(0.5 * (float)(1L << FRAC_BITS) + 0.5) #define FIXED_EPSILON 1 #define ROUND_FIXED_TO_INT(x) ((int)(x < 0 ? 0 : (x > FIXED_255) ? 255 : fixed_to_int(x + FIXED_HALF))) typedef int32_t fixed_t; static inline fixed_t int_to_fixed(int32_t x) { return x << FRAC_BITS; } static inline int32_t fixed_to_int(fixed_t x) { return x >> FRAC_BITS; } static inline fixed_t float_to_fixed(float x) { return ((fixed_t)((x) * (float)(1L << FRAC_BITS) + 0.5)); } static inline float fixed_to_float(fixed_t x) { return ((float)((x) / (float)(1L << FRAC_BITS))); } #if defined(__GNUC__) # if defined(__arm__) static inline fixed_t fixed_mul(fixed_t x, fixed_t y) { fixed_t __hi, __lo, __result; __asm__ __volatile__( "smull %0, %1, %3, %4\n\t" "movs %0, %0, lsr %5\n\t" "add %2, %0, %1, lsl %6" : "=&r" (__lo), "=&r" (__hi), "=r" (__result) : "%r" (x), "r" (y), "M" (FRAC_BITS), "M" (32 - (FRAC_BITS)) : "cc" ); return __result; } # elif defined(__i386__) || defined(__x86_64__) // This improves fixed-point performance about 15-20% on x86 static inline fixed_t fixed_mul(fixed_t x, fixed_t y) { fixed_t __hi, __lo; __asm__ __volatile__( "imull %3\n" "shrdl %4, %1, %0" : "=a"(__lo), "=d"(__hi) : "%a"(x), "rm"(y), "I"(FRAC_BITS) : "cc" ); return __lo; } # elif defined(PADRE) // Sparc ReadyNAS static inline fixed_t fixed_mul(fixed_t x, fixed_t y) { fixed_t __hi, __lo, __result; __asm__ __volatile__( " nop\n" " nop\n" " smul %3, %4, %0\n" " mov %%y, %1\n" " srl %0, %5, %0\n" " sll %1, %6, %1\n" " add %0, %1, %2\n" : "=&r" (__lo), "=&r" (__hi), "=r" (__result) : "%r" (x), "r" (y), "M" (FRAC_BITS), "M" (32 - (FRAC_BITS)) : "cc" ); return __result; } # else // Other gcc platform static inline fixed_t fixed_mul(fixed_t x, fixed_t y) { return (fixed_t)(((int64_t)x * y) >> FRAC_BITS); } # endif #elif defined(_MSC_VER) // x86 Windows static inline fixed_t fixed_mul(fixed_t x, fixed_t y) { enum { fracbits = FRAC_BITS }; __asm { mov eax, x imul y shrd eax, edx, fracbits } // eax is returned automatically } #else // Other non-gcc platform static inline fixed_t fixed_mul(fixed_t x, fixed_t y) { return (fixed_t)(((int64_t)x * y) >> FRAC_BITS); } #endif // XXX ARM version from http://me.henri.net/fp-div.html ? static inline fixed_t fixed_div(fixed_t x, fixed_t y) { return (fixed_t)(((int64_t)x << FRAC_BITS) / y); } static inline fixed_t fixed_floor(fixed_t x) { return x & INT_MASK; }