mathematics.h 4.6 KB

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  1. /*
  2. * copyright (c) 2005-2012 Michael Niedermayer <michaelni@gmx.at>
  3. *
  4. * This file is part of FFmpeg.
  5. *
  6. * FFmpeg is free software; you can redistribute it and/or
  7. * modify it under the terms of the GNU Lesser General Public
  8. * License as published by the Free Software Foundation; either
  9. * version 2.1 of the License, or (at your option) any later version.
  10. *
  11. * FFmpeg is distributed in the hope that it will be useful,
  12. * but WITHOUT ANY WARRANTY; without even the implied warranty of
  13. * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
  14. * Lesser General Public License for more details.
  15. *
  16. * You should have received a copy of the GNU Lesser General Public
  17. * License along with FFmpeg; if not, write to the Free Software
  18. * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
  19. */
  20. #ifndef AVUTIL_MATHEMATICS_H
  21. #define AVUTIL_MATHEMATICS_H
  22. #include <stdint.h>
  23. #include <math.h>
  24. #include "attributes.h"
  25. #include "rational.h"
  26. #include "intfloat.h"
  27. #ifndef M_E
  28. #define M_E 2.7182818284590452354 /* e */
  29. #endif
  30. #ifndef M_LN2
  31. #define M_LN2 0.69314718055994530942 /* log_e 2 */
  32. #endif
  33. #ifndef M_LN10
  34. #define M_LN10 2.30258509299404568402 /* log_e 10 */
  35. #endif
  36. #ifndef M_LOG2_10
  37. #define M_LOG2_10 3.32192809488736234787 /* log_2 10 */
  38. #endif
  39. #ifndef M_PHI
  40. #define M_PHI 1.61803398874989484820 /* phi / golden ratio */
  41. #endif
  42. #ifndef M_PI
  43. #define M_PI 3.14159265358979323846 /* pi */
  44. #endif
  45. #ifndef M_SQRT1_2
  46. #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */
  47. #endif
  48. #ifndef M_SQRT2
  49. #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */
  50. #endif
  51. #ifndef NAN
  52. #define NAN av_int2float(0x7fc00000)
  53. #endif
  54. #ifndef INFINITY
  55. #define INFINITY av_int2float(0x7f800000)
  56. #endif
  57. /**
  58. * @addtogroup lavu_math
  59. * @{
  60. */
  61. enum AVRounding {
  62. AV_ROUND_ZERO = 0, ///< Round toward zero.
  63. AV_ROUND_INF = 1, ///< Round away from zero.
  64. AV_ROUND_DOWN = 2, ///< Round toward -infinity.
  65. AV_ROUND_UP = 3, ///< Round toward +infinity.
  66. AV_ROUND_NEAR_INF = 5, ///< Round to nearest and halfway cases away from zero.
  67. AV_ROUND_PASS_MINMAX = 8192, ///< Flag to pass INT64_MIN/MAX through instead of rescaling, this avoids special cases for AV_NOPTS_VALUE
  68. };
  69. /**
  70. * Return the greatest common divisor of a and b.
  71. * If both a and b are 0 or either or both are <0 then behavior is
  72. * undefined.
  73. */
  74. int64_t av_const av_gcd(int64_t a, int64_t b);
  75. /**
  76. * Rescale a 64-bit integer with rounding to nearest.
  77. * A simple a*b/c isn't possible as it can overflow.
  78. */
  79. int64_t av_rescale(int64_t a, int64_t b, int64_t c) av_const;
  80. /**
  81. * Rescale a 64-bit integer with specified rounding.
  82. * A simple a*b/c isn't possible as it can overflow.
  83. *
  84. * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is
  85. * INT64_MIN or INT64_MAX then a is passed through unchanged.
  86. */
  87. int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding) av_const;
  88. /**
  89. * Rescale a 64-bit integer by 2 rational numbers.
  90. */
  91. int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq) av_const;
  92. /**
  93. * Rescale a 64-bit integer by 2 rational numbers with specified rounding.
  94. *
  95. * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is
  96. * INT64_MIN or INT64_MAX then a is passed through unchanged.
  97. */
  98. int64_t av_rescale_q_rnd(int64_t a, AVRational bq, AVRational cq,
  99. enum AVRounding) av_const;
  100. /**
  101. * Compare 2 timestamps each in its own timebases.
  102. * The result of the function is undefined if one of the timestamps
  103. * is outside the int64_t range when represented in the others timebase.
  104. * @return -1 if ts_a is before ts_b, 1 if ts_a is after ts_b or 0 if they represent the same position
  105. */
  106. int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b);
  107. /**
  108. * Compare 2 integers modulo mod.
  109. * That is we compare integers a and b for which only the least
  110. * significant log2(mod) bits are known.
  111. *
  112. * @param mod must be a power of 2
  113. * @return a negative value if a is smaller than b
  114. * a positive value if a is greater than b
  115. * 0 if a equals b
  116. */
  117. int64_t av_compare_mod(uint64_t a, uint64_t b, uint64_t mod);
  118. /**
  119. * Rescale a timestamp while preserving known durations.
  120. *
  121. * @param in_ts Input timestamp
  122. * @param in_tb Input timesbase
  123. * @param fs_tb Duration and *last timebase
  124. * @param duration duration till the next call
  125. * @param out_tb Output timesbase
  126. */
  127. int64_t av_rescale_delta(AVRational in_tb, int64_t in_ts, AVRational fs_tb, int duration, int64_t *last, AVRational out_tb);
  128. /**
  129. * @}
  130. */
  131. #endif /* AVUTIL_MATHEMATICS_H */