/*
* 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"
"adc %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;
}