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										 |  |  | /*
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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 | 
					
						
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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 <linux/math64.h>
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										 |  |  | typedef union dfixed { | 
					
						
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										 |  |  | 	u32 full; | 
					
						
							|  |  |  | } 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)) | 
					
						
							|  |  |  | 		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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										 |  |  | { | 
					
						
							|  |  |  | 	u64 tmp = ((u64)A.full << 13); | 
					
						
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							|  |  |  | 	do_div(tmp, B.full); | 
					
						
							|  |  |  | 	tmp += 1; | 
					
						
							|  |  |  | 	tmp /= 2; | 
					
						
							|  |  |  | 	return lower_32_bits(tmp); | 
					
						
							|  |  |  | } | 
					
						
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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)
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							|  |  |  | static inline s64 drm_int2fixp(int a) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	return ((s64)a) << DRM_FIXED_POINT; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | static inline int drm_fixp2int(int64_t a) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	return ((s64)a) >> DRM_FIXED_POINT; | 
					
						
							|  |  |  | } | 
					
						
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										 |  |  | static inline unsigned drm_fixp_msbset(int64_t a) | 
					
						
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										 |  |  | { | 
					
						
							|  |  |  | 	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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							|  |  |  | static inline s64 drm_fixp_mul(s64 a, s64 b) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  | 	unsigned shift = drm_fixp_msbset(a) + drm_fixp_msbset(b); | 
					
						
							|  |  |  | 	s64 result; | 
					
						
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										 |  |  | 	if (shift > 61) { | 
					
						
							|  |  |  | 		shift = shift - 61; | 
					
						
							|  |  |  | 		a >>= (shift >> 1) + (shift & 1); | 
					
						
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										 |  |  | 		b >>= shift >> 1; | 
					
						
							|  |  |  | 	} else | 
					
						
							|  |  |  | 		shift = 0; | 
					
						
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							|  |  |  | 	result = a * b; | 
					
						
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							|  |  |  | 	if (shift > DRM_FIXED_POINT) | 
					
						
							|  |  |  | 		return result << (shift - DRM_FIXED_POINT); | 
					
						
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							|  |  |  | 	if (shift < DRM_FIXED_POINT) | 
					
						
							|  |  |  | 		return result >> (DRM_FIXED_POINT - shift); | 
					
						
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							|  |  |  | 	return result; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | static inline s64 drm_fixp_div(s64 a, s64 b) | 
					
						
							|  |  |  | { | 
					
						
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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) | 
					
						
							|  |  |  | 		b >>= (DRM_FIXED_POINT - shift); | 
					
						
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							|  |  |  | 	result = div64_s64(a, b); | 
					
						
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							|  |  |  | 	if (shift > DRM_FIXED_POINT) | 
					
						
							|  |  |  | 		return result >> (shift - DRM_FIXED_POINT); | 
					
						
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							|  |  |  | 	return result; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | 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; | 
					
						
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							|  |  |  | 	if (x < 0) | 
					
						
							|  |  |  | 		y = -1 * x; | 
					
						
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							|  |  |  | 	term = y; | 
					
						
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							|  |  |  | 	while (term >= tolerance) { | 
					
						
							|  |  |  | 		sum = sum + term; | 
					
						
							|  |  |  | 		count = count + 1; | 
					
						
							|  |  |  | 		term = drm_fixp_mul(term, div64_s64(y, count)); | 
					
						
							|  |  |  | 	} | 
					
						
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							|  |  |  | 	if (x < 0) | 
					
						
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										 |  |  | 		sum = drm_fixp_div(DRM_FIXED_ONE, sum); | 
					
						
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							|  |  |  | 	return sum; | 
					
						
							|  |  |  | } | 
					
						
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										 |  |  | #endif
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