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4103 Serge 1
/*
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 * Copyright 2009 Red Hat Inc.
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 *
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 * Permission is hereby granted, free of charge, to any person obtaining a
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 * copy of this software and associated documentation files (the "Software"),
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 * to deal in the Software without restriction, including without limitation
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 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
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 * and/or sell copies of the Software, and to permit persons to whom the
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 * Software is furnished to do so, subject to the following conditions:
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 *
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 * The above copyright notice and this permission notice shall be included in
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 * all copies or substantial portions of the Software.
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 *
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 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL
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 * THE COPYRIGHT HOLDER(S) OR AUTHOR(S) BE LIABLE FOR ANY CLAIM, DAMAGES OR
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 * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
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 * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
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 * OTHER DEALINGS IN THE SOFTWARE.
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 *
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 * Authors: Dave Airlie
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 *          Christian König
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 */
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#ifndef DRM_FIXED_H
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#define DRM_FIXED_H
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#include 
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typedef union dfixed {
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	u32 full;
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} fixed20_12;
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#define dfixed_const(A) (u32)(((A) << 12))/*  + ((B + 0.000122)*4096)) */
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#define dfixed_const_half(A) (u32)(((A) << 12) + 2048)
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#define dfixed_const_666(A) (u32)(((A) << 12) + 2731)
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#define dfixed_const_8(A) (u32)(((A) << 12) + 3277)
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#define dfixed_mul(A, B) ((u64)((u64)(A).full * (B).full + 2048) >> 12)
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#define dfixed_init(A) { .full = dfixed_const((A)) }
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#define dfixed_init_half(A) { .full = dfixed_const_half((A)) }
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#define dfixed_trunc(A) ((A).full >> 12)
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#define dfixed_frac(A) ((A).full & ((1 << 12) - 1))
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static inline u32 dfixed_floor(fixed20_12 A)
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{
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	u32 non_frac = dfixed_trunc(A);
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	return dfixed_const(non_frac);
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}
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static inline u32 dfixed_ceil(fixed20_12 A)
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{
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	u32 non_frac = dfixed_trunc(A);
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	if (A.full > dfixed_const(non_frac))
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		return dfixed_const(non_frac + 1);
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	else
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		return dfixed_const(non_frac);
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}
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static inline u32 dfixed_div(fixed20_12 A, fixed20_12 B)
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{
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	u64 tmp = ((u64)A.full << 13);
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	do_div(tmp, B.full);
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	tmp += 1;
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	tmp /= 2;
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	return lower_32_bits(tmp);
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}
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#define DRM_FIXED_POINT		32
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#define DRM_FIXED_ONE		(1ULL << DRM_FIXED_POINT)
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#define DRM_FIXED_DECIMAL_MASK	(DRM_FIXED_ONE - 1)
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#define DRM_FIXED_DIGITS_MASK	(~DRM_FIXED_DECIMAL_MASK)
6336 serge 76
#define DRM_FIXED_EPSILON	1LL
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#define DRM_FIXED_ALMOST_ONE	(DRM_FIXED_ONE - DRM_FIXED_EPSILON)
4103 Serge 78
 
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static inline s64 drm_int2fixp(int a)
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{
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	return ((s64)a) << DRM_FIXED_POINT;
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}
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6336 serge 84
static inline int drm_fixp2int(s64 a)
4103 Serge 85
{
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	return ((s64)a) >> DRM_FIXED_POINT;
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}
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6336 serge 89
static inline int drm_fixp2int_ceil(s64 a)
4103 Serge 90
{
6336 serge 91
	if (a > 0)
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		return drm_fixp2int(a + DRM_FIXED_ALMOST_ONE);
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	else
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		return drm_fixp2int(a - DRM_FIXED_ALMOST_ONE);
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}
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static inline unsigned drm_fixp_msbset(s64 a)
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{
4103 Serge 99
	unsigned shift, sign = (a >> 63) & 1;
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	for (shift = 62; shift > 0; --shift)
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		if (((a >> shift) & 1) != sign)
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			return shift;
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	return 0;
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}
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static inline s64 drm_fixp_mul(s64 a, s64 b)
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{
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	unsigned shift = drm_fixp_msbset(a) + drm_fixp_msbset(b);
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	s64 result;
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	if (shift > 61) {
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		shift = shift - 61;
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		a >>= (shift >> 1) + (shift & 1);
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		b >>= shift >> 1;
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	} else
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		shift = 0;
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	result = a * b;
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	if (shift > DRM_FIXED_POINT)
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		return result << (shift - DRM_FIXED_POINT);
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	if (shift < DRM_FIXED_POINT)
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		return result >> (DRM_FIXED_POINT - shift);
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	return result;
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}
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static inline s64 drm_fixp_div(s64 a, s64 b)
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{
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	unsigned shift = 62 - drm_fixp_msbset(a);
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	s64 result;
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	a <<= shift;
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	if (shift < DRM_FIXED_POINT)
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		b >>= (DRM_FIXED_POINT - shift);
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	result = div64_s64(a, b);
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	if (shift > DRM_FIXED_POINT)
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		return result >> (shift - DRM_FIXED_POINT);
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	return result;
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}
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6336 serge 149
static inline s64 drm_fixp_from_fraction(s64 a, s64 b)
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{
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	s64 res;
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	bool a_neg = a < 0;
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	bool b_neg = b < 0;
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	u64 a_abs = a_neg ? -a : a;
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	u64 b_abs = b_neg ? -b : b;
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	u64 rem;
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	/* determine integer part */
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	u64 res_abs  = div64_u64_rem(a_abs, b_abs, &rem);
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	/* determine fractional part */
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	{
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		u32 i = DRM_FIXED_POINT;
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		do {
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			rem <<= 1;
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			res_abs <<= 1;
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			if (rem >= b_abs) {
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				res_abs |= 1;
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				rem -= b_abs;
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			}
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		} while (--i != 0);
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	}
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	/* round up LSB */
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	{
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		u64 summand = (rem << 1) >= b_abs;
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		res_abs += summand;
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	}
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	res = (s64) res_abs;
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	if (a_neg ^ b_neg)
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		res = -res;
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	return res;
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}
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4103 Serge 188
static inline s64 drm_fixp_exp(s64 x)
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{
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	s64 tolerance = div64_s64(DRM_FIXED_ONE, 1000000);
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	s64 sum = DRM_FIXED_ONE, term, y = x;
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	u64 count = 1;
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	if (x < 0)
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		y = -1 * x;
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	term = y;
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	while (term >= tolerance) {
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		sum = sum + term;
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		count = count + 1;
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		term = drm_fixp_mul(term, div64_s64(y, count));
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	}
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205
	if (x < 0)
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		sum = drm_fixp_div(DRM_FIXED_ONE, sum);
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208
	return sum;
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}
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#endif