mathematics.h 3.3 KB

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  1. /*
  2. * copyright (c) 2005 Michael Niedermayer <michaelni@gmx.at>
  3. *
  4. * This file is part of Libav.
  5. *
  6. * Libav 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. * Libav 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 Libav; 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_LOG2_10
  28. #define M_LOG2_10 3.32192809488736234787 /* log_2 10 */
  29. #endif
  30. #ifndef M_PHI
  31. #define M_PHI 1.61803398874989484820 /* phi / golden ratio */
  32. #endif
  33. #ifndef NAN
  34. #define NAN av_int2float(0x7fc00000)
  35. #endif
  36. #ifndef INFINITY
  37. #define INFINITY av_int2float(0x7f800000)
  38. #endif
  39. /**
  40. * @addtogroup lavu_math
  41. * @{
  42. */
  43. enum AVRounding {
  44. AV_ROUND_ZERO = 0, ///< Round toward zero.
  45. AV_ROUND_INF = 1, ///< Round away from zero.
  46. AV_ROUND_DOWN = 2, ///< Round toward -infinity.
  47. AV_ROUND_UP = 3, ///< Round toward +infinity.
  48. AV_ROUND_NEAR_INF = 5, ///< Round to nearest and halfway cases away from zero.
  49. };
  50. /**
  51. * Return the greatest common divisor of a and b.
  52. * If both a and b are 0 or either or both are <0 then behavior is
  53. * undefined.
  54. */
  55. int64_t av_const av_gcd(int64_t a, int64_t b);
  56. /**
  57. * Rescale a 64-bit integer with rounding to nearest.
  58. * A simple a*b/c isn't possible as it can overflow.
  59. */
  60. int64_t av_rescale(int64_t a, int64_t b, int64_t c) av_const;
  61. /**
  62. * Rescale a 64-bit integer with specified rounding.
  63. * A simple a*b/c isn't possible as it can overflow.
  64. */
  65. int64_t av_rescale_rnd(int64_t a, int64_t b, int64_t c, enum AVRounding) av_const;
  66. /**
  67. * Rescale a 64-bit integer by 2 rational numbers.
  68. */
  69. int64_t av_rescale_q(int64_t a, AVRational bq, AVRational cq) av_const;
  70. /**
  71. * Rescale a 64-bit integer by 2 rational numbers with specified rounding.
  72. */
  73. int64_t av_rescale_q_rnd(int64_t a, AVRational bq, AVRational cq,
  74. enum AVRounding) av_const;
  75. /**
  76. * Compare 2 timestamps each in its own timebases.
  77. * The result of the function is undefined if one of the timestamps
  78. * is outside the int64_t range when represented in the others timebase.
  79. * @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
  80. */
  81. int av_compare_ts(int64_t ts_a, AVRational tb_a, int64_t ts_b, AVRational tb_b);
  82. /**
  83. * Compare 2 integers modulo mod.
  84. * That is we compare integers a and b for which only the least
  85. * significant log2(mod) bits are known.
  86. *
  87. * @param mod must be a power of 2
  88. * @return a negative value if a is smaller than b
  89. * a positive value if a is greater than b
  90. * 0 if a equals b
  91. */
  92. int64_t av_compare_mod(uint64_t a, uint64_t b, uint64_t mod);
  93. /**
  94. * @}
  95. */
  96. #endif /* AVUTIL_MATHEMATICS_H */