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/*
* Copyright 2009 Red Hat Inc.
*
* 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, sublicense,
* 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 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 NONINFRINGEMENT. IN NO EVENT SHALL
* THE COPYRIGHT HOLDER(S) OR AUTHOR(S) 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.
*
* Authors: Dave Airlie
* Christian König
*/
#ifndef DRM_FIXED_H
#define DRM_FIXED_H
#ifdef __linux__
#include <linux/math64.h>
#endif
typedef union dfixed {
u32 full;
} fixed20_12;
#define dfixed_const(A) (u32)(((A) << 12))/* + ((B + 0.000122)*4096)) */
#define dfixed_const_half(A) (u32)(((A) << 12) + 2048)
#define dfixed_const_666(A) (u32)(((A) << 12) + 2731)
#define dfixed_const_8(A) (u32)(((A) << 12) + 3277)
#define dfixed_mul(A, B) ((u64)((u64)(A).full * (B).full + 2048) >> 12)
#define dfixed_init(A) { .full = dfixed_const((A)) }
#define dfixed_init_half(A) { .full = dfixed_const_half((A)) }
#define dfixed_trunc(A) ((A).full >> 12)
#define dfixed_frac(A) ((A).full & ((1 << 12) - 1))
static inline u32 dfixed_floor(fixed20_12 A)
{
u32 non_frac = dfixed_trunc(A);
return dfixed_const(non_frac);
}
static inline u32 dfixed_ceil(fixed20_12 A)
{
u32 non_frac = dfixed_trunc(A);
if (A.full > dfixed_const(non_frac))
return dfixed_const(non_frac + 1);
else
return dfixed_const(non_frac);
}
static inline u32 dfixed_div(fixed20_12 A, fixed20_12 B)
{
u64 tmp = ((u64)A.full << 13);
do_div(tmp, B.full);
tmp += 1;
tmp /= 2;
return lower_32_bits(tmp);
}
#define DRM_FIXED_POINT 32
#define DRM_FIXED_ONE (1ULL << DRM_FIXED_POINT)
#define DRM_FIXED_DECIMAL_MASK (DRM_FIXED_ONE - 1)
#define DRM_FIXED_DIGITS_MASK (~DRM_FIXED_DECIMAL_MASK)
#define DRM_FIXED_EPSILON 1LL
#define DRM_FIXED_ALMOST_ONE (DRM_FIXED_ONE - DRM_FIXED_EPSILON)
static inline s64 drm_int2fixp(int a)
{
return ((s64)a) << DRM_FIXED_POINT;
}
static inline int drm_fixp2int(s64 a)
{
return ((s64)a) >> DRM_FIXED_POINT;
}
static inline int drm_fixp2int_ceil(s64 a)
{
if (a > 0)
return drm_fixp2int(a + DRM_FIXED_ALMOST_ONE);
else
return drm_fixp2int(a - DRM_FIXED_ALMOST_ONE);
}
static inline unsigned drm_fixp_msbset(s64 a)
{
unsigned shift, sign = (a >> 63) & 1;
for (shift = 62; shift > 0; --shift)
if (((a >> shift) & 1) != sign)
return shift;
return 0;
}
static inline s64 drm_fixp_mul(s64 a, s64 b)
{
unsigned shift = drm_fixp_msbset(a) + drm_fixp_msbset(b);
s64 result;
if (shift > 61) {
shift = shift - 61;
a >>= (shift >> 1) + (shift & 1);
b >>= shift >> 1;
} else
shift = 0;
result = a * b;
if (shift > DRM_FIXED_POINT)
return result << (shift - DRM_FIXED_POINT);
if (shift < DRM_FIXED_POINT)
return result >> (DRM_FIXED_POINT - shift);
return result;
}
static inline s64 drm_fixp_div(s64 a, s64 b)
{
unsigned shift = 62 - drm_fixp_msbset(a);
s64 result;
a <<= shift;
if (shift < DRM_FIXED_POINT)
b >>= (DRM_FIXED_POINT - shift);
result = div64_s64(a, b);
if (shift > DRM_FIXED_POINT)
return result >> (shift - DRM_FIXED_POINT);
return result;
}
static inline s64 drm_fixp_from_fraction(s64 a, s64 b)
{
s64 res;
bool a_neg = a < 0;
bool b_neg = b < 0;
u64 a_abs = a_neg ? -a : a;
u64 b_abs = b_neg ? -b : b;
u64 rem;
/* determine integer part */
u64 res_abs = div64_u64_rem(a_abs, b_abs, &rem);
/* determine fractional part */
{
u32 i = DRM_FIXED_POINT;
do {
rem <<= 1;
res_abs <<= 1;
if (rem >= b_abs) {
res_abs |= 1;
rem -= b_abs;
}
} while (--i != 0);
}
/* round up LSB */
{
u64 summand = (rem << 1) >= b_abs;
res_abs += summand;
}
res = (s64) res_abs;
if (a_neg ^ b_neg)
res = -res;
return res;
}
static inline s64 drm_fixp_exp(s64 x)
{
s64 tolerance = div64_s64(DRM_FIXED_ONE, 1000000);
s64 sum = DRM_FIXED_ONE, term, y = x;
u64 count = 1;
if (x < 0)
y = -1 * x;
term = y;
while (term >= tolerance) {
sum = sum + term;
count = count + 1;
term = drm_fixp_mul(term, div64_s64(y, count));
}
if (x < 0)
sum = drm_fixp_div(DRM_FIXED_ONE, sum);
return sum;
}
#endif
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