drm_fixed.h 3.9 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_ONE (1ULL << DRM_FIXED_POINT)
  63. #define DRM_FIXED_DECIMAL_MASK (DRM_FIXED_ONE - 1)
  64. #define DRM_FIXED_DIGITS_MASK (~DRM_FIXED_DECIMAL_MASK)
  65. static inline s64 drm_int2fixp(int a)
  66. {
  67. return ((s64)a) << DRM_FIXED_POINT;
  68. }
  69. static inline int drm_fixp2int(int64_t a)
  70. {
  71. return ((s64)a) >> DRM_FIXED_POINT;
  72. }
  73. static inline unsigned drm_fixp_msbset(int64_t a)
  74. {
  75. unsigned shift, sign = (a >> 63) & 1;
  76. for (shift = 62; shift > 0; --shift)
  77. if (((a >> shift) & 1) != sign)
  78. return shift;
  79. return 0;
  80. }
  81. static inline s64 drm_fixp_mul(s64 a, s64 b)
  82. {
  83. unsigned shift = drm_fixp_msbset(a) + drm_fixp_msbset(b);
  84. s64 result;
  85. if (shift > 61) {
  86. shift = shift - 61;
  87. a >>= (shift >> 1) + (shift & 1);
  88. b >>= shift >> 1;
  89. } else
  90. shift = 0;
  91. result = a * b;
  92. if (shift > DRM_FIXED_POINT)
  93. return result << (shift - DRM_FIXED_POINT);
  94. if (shift < DRM_FIXED_POINT)
  95. return result >> (DRM_FIXED_POINT - shift);
  96. return result;
  97. }
  98. static inline s64 drm_fixp_div(s64 a, s64 b)
  99. {
  100. unsigned shift = 62 - drm_fixp_msbset(a);
  101. s64 result;
  102. a <<= shift;
  103. if (shift < DRM_FIXED_POINT)
  104. b >>= (DRM_FIXED_POINT - shift);
  105. result = div64_s64(a, b);
  106. if (shift > DRM_FIXED_POINT)
  107. return result >> (shift - DRM_FIXED_POINT);
  108. return result;
  109. }
  110. static inline s64 drm_fixp_exp(s64 x)
  111. {
  112. s64 tolerance = div64_s64(DRM_FIXED_ONE, 1000000);
  113. s64 sum = DRM_FIXED_ONE, term, y = x;
  114. u64 count = 1;
  115. if (x < 0)
  116. y = -1 * x;
  117. term = y;
  118. while (term >= tolerance) {
  119. sum = sum + term;
  120. count = count + 1;
  121. term = drm_fixp_mul(term, div64_s64(y, count));
  122. }
  123. if (x < 0)
  124. sum = drm_fixp_div(DRM_FIXED_ONE, sum);
  125. return sum;
  126. }
  127. #endif