drm_fixed.h 4.9 KB

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  1. /*
  2. * Copyright 2009 Red Hat Inc.
  3. *
  4. * Permission is hereby granted, free of charge, to any person obtaining a
  5. * copy of this software and associated documentation files (the "Software"),
  6. * to deal in the Software without restriction, including without limitation
  7. * the rights to use, copy, modify, merge, publish, distribute, sublicense,
  8. * and/or sell copies of the Software, and to permit persons to whom the
  9. * Software is furnished to do so, subject to the following conditions:
  10. *
  11. * The above copyright notice and this permission notice shall be included in
  12. * all copies or substantial portions of the Software.
  13. *
  14. * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
  15. * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  16. * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  17. * THE COPYRIGHT HOLDER(S) OR AUTHOR(S) BE LIABLE FOR ANY CLAIM, DAMAGES OR
  18. * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
  19. * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
  20. * OTHER DEALINGS IN THE SOFTWARE.
  21. *
  22. * Authors: Dave Airlie
  23. * Christian König
  24. */
  25. #ifndef DRM_FIXED_H
  26. #define DRM_FIXED_H
  27. #include <linux/math64.h>
  28. typedef union dfixed {
  29. u32 full;
  30. } fixed20_12;
  31. #define dfixed_const(A) (u32)(((A) << 12))/* + ((B + 0.000122)*4096)) */
  32. #define dfixed_const_half(A) (u32)(((A) << 12) + 2048)
  33. #define dfixed_const_666(A) (u32)(((A) << 12) + 2731)
  34. #define dfixed_const_8(A) (u32)(((A) << 12) + 3277)
  35. #define dfixed_mul(A, B) ((u64)((u64)(A).full * (B).full + 2048) >> 12)
  36. #define dfixed_init(A) { .full = dfixed_const((A)) }
  37. #define dfixed_init_half(A) { .full = dfixed_const_half((A)) }
  38. #define dfixed_trunc(A) ((A).full >> 12)
  39. #define dfixed_frac(A) ((A).full & ((1 << 12) - 1))
  40. static inline u32 dfixed_floor(fixed20_12 A)
  41. {
  42. u32 non_frac = dfixed_trunc(A);
  43. return dfixed_const(non_frac);
  44. }
  45. static inline u32 dfixed_ceil(fixed20_12 A)
  46. {
  47. u32 non_frac = dfixed_trunc(A);
  48. if (A.full > dfixed_const(non_frac))
  49. return dfixed_const(non_frac + 1);
  50. else
  51. return dfixed_const(non_frac);
  52. }
  53. static inline u32 dfixed_div(fixed20_12 A, fixed20_12 B)
  54. {
  55. u64 tmp = ((u64)A.full << 13);
  56. do_div(tmp, B.full);
  57. tmp += 1;
  58. tmp /= 2;
  59. return lower_32_bits(tmp);
  60. }
  61. #define DRM_FIXED_POINT 32
  62. #define DRM_FIXED_POINT_HALF 16
  63. #define DRM_FIXED_ONE (1ULL << DRM_FIXED_POINT)
  64. #define DRM_FIXED_DECIMAL_MASK (DRM_FIXED_ONE - 1)
  65. #define DRM_FIXED_DIGITS_MASK (~DRM_FIXED_DECIMAL_MASK)
  66. #define DRM_FIXED_EPSILON 1LL
  67. #define DRM_FIXED_ALMOST_ONE (DRM_FIXED_ONE - DRM_FIXED_EPSILON)
  68. static inline s64 drm_int2fixp(int a)
  69. {
  70. return ((s64)a) << DRM_FIXED_POINT;
  71. }
  72. static inline int drm_fixp2int(s64 a)
  73. {
  74. return ((s64)a) >> DRM_FIXED_POINT;
  75. }
  76. static inline int drm_fixp2int_round(s64 a)
  77. {
  78. return drm_fixp2int(a + (1 << (DRM_FIXED_POINT_HALF - 1)));
  79. }
  80. static inline int drm_fixp2int_ceil(s64 a)
  81. {
  82. if (a > 0)
  83. return drm_fixp2int(a + DRM_FIXED_ALMOST_ONE);
  84. else
  85. return drm_fixp2int(a - DRM_FIXED_ALMOST_ONE);
  86. }
  87. static inline unsigned drm_fixp_msbset(s64 a)
  88. {
  89. unsigned shift, sign = (a >> 63) & 1;
  90. for (shift = 62; shift > 0; --shift)
  91. if (((a >> shift) & 1) != sign)
  92. return shift;
  93. return 0;
  94. }
  95. static inline s64 drm_fixp_mul(s64 a, s64 b)
  96. {
  97. unsigned shift = drm_fixp_msbset(a) + drm_fixp_msbset(b);
  98. s64 result;
  99. if (shift > 61) {
  100. shift = shift - 61;
  101. a >>= (shift >> 1) + (shift & 1);
  102. b >>= shift >> 1;
  103. } else
  104. shift = 0;
  105. result = a * b;
  106. if (shift > DRM_FIXED_POINT)
  107. return result << (shift - DRM_FIXED_POINT);
  108. if (shift < DRM_FIXED_POINT)
  109. return result >> (DRM_FIXED_POINT - shift);
  110. return result;
  111. }
  112. static inline s64 drm_fixp_div(s64 a, s64 b)
  113. {
  114. unsigned shift = 62 - drm_fixp_msbset(a);
  115. s64 result;
  116. a <<= shift;
  117. if (shift < DRM_FIXED_POINT)
  118. b >>= (DRM_FIXED_POINT - shift);
  119. result = div64_s64(a, b);
  120. if (shift > DRM_FIXED_POINT)
  121. return result >> (shift - DRM_FIXED_POINT);
  122. return result;
  123. }
  124. static inline s64 drm_fixp_from_fraction(s64 a, s64 b)
  125. {
  126. s64 res;
  127. bool a_neg = a < 0;
  128. bool b_neg = b < 0;
  129. u64 a_abs = a_neg ? -a : a;
  130. u64 b_abs = b_neg ? -b : b;
  131. u64 rem;
  132. /* determine integer part */
  133. u64 res_abs = div64_u64_rem(a_abs, b_abs, &rem);
  134. /* determine fractional part */
  135. {
  136. u32 i = DRM_FIXED_POINT;
  137. do {
  138. rem <<= 1;
  139. res_abs <<= 1;
  140. if (rem >= b_abs) {
  141. res_abs |= 1;
  142. rem -= b_abs;
  143. }
  144. } while (--i != 0);
  145. }
  146. /* round up LSB */
  147. {
  148. u64 summand = (rem << 1) >= b_abs;
  149. res_abs += summand;
  150. }
  151. res = (s64) res_abs;
  152. if (a_neg ^ b_neg)
  153. res = -res;
  154. return res;
  155. }
  156. static inline s64 drm_fixp_exp(s64 x)
  157. {
  158. s64 tolerance = div64_s64(DRM_FIXED_ONE, 1000000);
  159. s64 sum = DRM_FIXED_ONE, term, y = x;
  160. u64 count = 1;
  161. if (x < 0)
  162. y = -1 * x;
  163. term = y;
  164. while (term >= tolerance) {
  165. sum = sum + term;
  166. count = count + 1;
  167. term = drm_fixp_mul(term, div64_s64(y, count));
  168. }
  169. if (x < 0)
  170. sum = drm_fixp_div(DRM_FIXED_ONE, sum);
  171. return sum;
  172. }
  173. #endif