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+(*
+ * copyright (c) 2005-2012 Michael Niedermayer <michaelni@gmx.at>
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2 of the License, or (at your option) any later version.
+ *
+ * This library is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this library; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ *
+ * This is a part of Pascal porting of ffmpeg.
+ * - Originally by Victor Zinetz for Delphi and Free Pascal on Windows.
+ * - For Mac OS X, some modifications were made by The Creative CAT, denoted as CAT
+ * in the source codes.
+ * - Changes and updates by the UltraStar Deluxe Team
+ *
+ * Conversion of libavutil/mathematics.h
+ * avutil version 52.38.100
+ *
+ *)
+
+const
+ M_E = 2.7182818284590452354; // e
+ M_LN2 = 0.69314718055994530942; // log_e 2
+ M_LN10 = 2.30258509299404568402; // log_e 10
+ M_LOG2_10 = 3.32192809488736234787; // log_2 10
+ M_PHI = 1.61803398874989484820; // phi / golden ratio
+ M_PI = 3.14159265358979323846; // pi
+ M_SQRT1_2 = 0.70710678118654752440; // 1/sqrt(2)
+ M_SQRT2 = 1.41421356237309504880; // sqrt(2)
+ NAN = $7fc00000;
+ INFINITY = $7f800000;
+
+(**
+ * @addtogroup lavu_math
+ * @
+ *)
+
+type
+ TAVRounding = (
+ AV_ROUND_ZERO = 0, ///< Round toward zero.
+ AV_ROUND_INF = 1, ///< Round away from zero.
+ AV_ROUND_DOWN = 2, ///< Round toward -infinity.
+ AV_ROUND_UP = 3, ///< Round toward +infinity.
+ AV_ROUND_NEAR_INF = 5, ///< Round to nearest and halfway cases away from zero.
+ AV_ROUND_PASS_MINMAX = 8192 ///< Flag to pass INT64_MIN/MAX through instead of rescaling, this avoids special cases for AV_NOPTS_VALUE
+ );
+
+(**
+ * Return the greatest common divisor of a and b.
+ * If both a or b are 0 or either or both are <0 then behavior is
+ * undefined.
+ *)
+function av_gcd(a: cint64; b: cint64): cint64;
+ cdecl; external av__util; {av_const}
+
+(**
+ * Rescale a 64-bit integer with rounding to nearest.
+ * A simple a*b/c isn't possible as it can overflow.
+ *)
+function av_rescale (a, b, c: cint64): cint64;
+ cdecl; external av__util; {av_const}
+
+(**
+ * Rescale a 64-bit integer with specified rounding.
+ * A simple a*b/c isn't possible as it can overflow.
+ *
+ * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is
+ * INT64_MIN or INT64_MAX then a is passed through unchanged.
+ *)
+function av_rescale_rnd (a, b, c: cint64; enum: TAVRounding): cint64;
+ cdecl; external av__util; {av_const}
+
+(**
+ * Rescale a 64-bit integer by 2 rational numbers.
+ *)
+function av_rescale_q (a: cint64; bq, cq: TAVRational): cint64;
+ cdecl; external av__util; {av_const}
+
+(**
+ * Rescale a 64-bit integer by 2 rational numbers with specified rounding.
+ *
+ * @return rescaled value a, or if AV_ROUND_PASS_MINMAX is set and a is
+ * INT64_MIN or INT64_MAX then a is passed through unchanged.
+ *)
+function av_rescale_q_rnd(a: cint64; bq, cq: TAVRational;
+ enum: TAVRounding): cint64;
+ cdecl; external av__util; {av_const}
+
+(**
+ * Compare 2 timestamps each in its own timebases.
+ * The result of the function is undefined if one of the timestamps
+ * is outside the int64_t range when represented in the others timebase.
+ * @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
+ *)
+function av_compare_ts(ts_a: cint64; tb_a: TAVRational; ts_b: cint64; tb_b: TAVRational): cint;
+ cdecl; external av__util;
+
+(**
+ * Compare 2 integers modulo mod.
+ * That is we compare integers a and b for which only the least
+ * significant log2(mod) bits are known.
+ *
+ * @param mod must be a power of 2
+ * @return a negative value if a is smaller than b
+ * a positiv value if a is greater than b
+ * 0 if a equals b
+ *)
+function av_compare_mod(a: cuint64; b: cuint64; modVar: cuint64): cint64;
+ cdecl; external av__util;
+
+(**
+ * Rescale a timestamp while preserving known durations.
+ *
+ * @param in_ts Input timestamp
+ * @param in_tb Input timesbase
+ * @param fs_tb Duration and *last timebase
+ * @param duration duration till the next call
+ * @param out_tb Output timesbase
+ *)
+function av_rescale_delta(in_tb: TAVRational; in_ts: cint64; fs_tb: TAVRational; duration: cint; last: Pcint64; out_tb: TAVRational): cint64;
+ cdecl; external av__util;
+