78 lignes
2.7 KiB
C
78 lignes
2.7 KiB
C
#ifndef cmMath_h
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#define cmMath_h
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double cmX80ToDouble( unsigned char s[10] );
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void cmDoubleToX80( double v, unsigned char s[10] );
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bool cmIsPowerOfTwo( unsigned i );
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unsigned cmNextPowerOfTwo( unsigned i );
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unsigned cmNearPowerOfTwo( unsigned i );
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bool cmIsOddU( unsigned v );
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bool cmIsEvenU( unsigned v );
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unsigned cmNextOddU( unsigned v );
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unsigned cmPrevOddU( unsigned v );
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unsigned cmNextEvenU( unsigned v );
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unsigned cmPrevEvenU( unsigned v );
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// modified bessel function of first kind, order 0
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// ref: orfandis appendix B io.m
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double cmBessel0( double x );
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//=================================================================
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// The following elliptic-related function approximations come from
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// Parks & Burrus, Digital Filter Design, Appendix program 9, pp. 317-326
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// which in turn draws directly on other sources
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// calculate complete elliptic integral (quarter period) K
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// given *complimentary* modulus kc
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cmReal_t cmEllipK( cmReal_t kc );
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// calculate elliptic modulus k
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// given ratio of complete elliptic integrals r = K/K'
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// (solves the "degree equation" for fixed N = K*K1'/K'K1)
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cmReal_t cmEllipDeg( cmReal_t r );
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// calculate arc elliptic tangent u (elliptic integral of the 1st kind)
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// given argument x = sc(u,k) and *complimentary* modulus kc
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cmReal_t cmEllipArcSc( cmReal_t x, cmReal_t kc );
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// calculate Jacobi elliptic functions sn, cn, and dn
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// given argument u and *complimentary* modulus kc
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cmRC_t cmEllipJ( cmReal_t u, cmReal_t kc, cmReal_t* sn, cmReal_t* cn, cmReal_t* dn );
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//=================================================================
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// bilinear transform
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// z = (2*sr + s)/(2*sr - s)
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cmRC_t cmBlt( unsigned n, cmReal_t sr, cmReal_t* rp, cmReal_t* ip );
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//=================================================================
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// Pitch conversion
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unsigned cmHzToMidi( double hz );
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float cmMidiToHz( unsigned midi );
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//=================================================================
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// Floating point byte swapping
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unsigned cmFfSwapFloatToUInt( float v );
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float cmFfSwapUIntToFloat( unsigned v );
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unsigned long long cmFfSwapDoubleToULLong( double v );
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double cmFfSwapULLongToDouble( unsigned long long v );
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//=================================================================
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int cmRandInt( int min, int max );
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unsigned cmRandUInt( unsigned min, unsigned max );
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float cmRandFloat( float min, float max );
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double cmRandDouble( double min, double max );
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//=================================================================
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bool cmIsCloseD( double x0, double x1, double eps );
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bool cmIsCloseF( float x0, float x1, double eps );
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bool cmIsCloseI( int x0, int x1, double eps );
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bool cmIsCloseU( unsigned x0, unsigned x1, double eps );
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#endif
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