| [bb82c03] | 1 | // | 
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| [6e991d6] | 2 | // Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo | 
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|  | 3 | // | 
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|  | 4 | // The contents of this file are covered under the licence agreement in the | 
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|  | 5 | // file "LICENCE" distributed with Cforall. | 
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|  | 6 | // | 
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| [2f5ea69] | 7 | // math.hfa -- | 
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| [bb82c03] | 8 | // | 
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| [6e991d6] | 9 | // Author           : Peter A. Buhr | 
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|  | 10 | // Created On       : Mon Apr 18 23:37:04 2016 | 
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|  | 11 | // Last Modified By : Peter A. Buhr | 
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| [2f5ea69] | 12 | // Last Modified On : Thu Apr 15 11:47:56 2021 | 
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|  | 13 | // Update Count     : 132 | 
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| [bb82c03] | 14 | // | 
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| [17e5e2b] | 15 |  | 
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| [53a6c2a] | 16 | #pragma once | 
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| [17e5e2b] | 17 |  | 
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| [dab7ac7] | 18 | #include <math.h> | 
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|  | 19 | #include <complex.h> | 
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| [6e991d6] | 20 |  | 
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| [7cfef0d] | 21 | //--------------------------------------- | 
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| [dab7ac7] | 22 |  | 
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| [7cfef0d] | 23 | #include "common.hfa" | 
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| [6e991d6] | 24 |  | 
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| [7cfef0d] | 25 | //---------------------- General ---------------------- | 
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| [6e991d6] | 26 |  | 
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| [7cfef0d] | 27 | static inline { | 
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|  | 28 | float ?%?( float x, float y ) { return fmodf( x, y ); } | 
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|  | 29 | float fmod( float x, float y ) { return fmodf( x, y ); } | 
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|  | 30 | double ?%?( double x, double y ) { return fmod( x, y ); } | 
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|  | 31 | // extern "C" { double fmod( double, double ); } | 
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|  | 32 | long double ?%?( long double x, long double y ) { return fmodl( x, y ); } | 
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|  | 33 | long double fmod( long double x, long double y ) { return fmodl( x, y ); } | 
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|  | 34 |  | 
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|  | 35 | float remainder( float x, float y ) { return remainderf( x, y ); } | 
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|  | 36 | // extern "C" { double remainder( double, double ); } | 
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|  | 37 | long double remainder( long double x, long double y ) { return remainderl( x, y ); } | 
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|  | 38 |  | 
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|  | 39 | float remquo( float x, float y, int * quo ) { return remquof( x, y, quo ); } | 
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|  | 40 | // extern "C" { double remquo( double x, double y, int * quo ); } | 
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|  | 41 | long double remquo( long double x, long double y, int * quo ) { return remquol( x, y, quo ); } | 
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|  | 42 | [ int, float ] remquo( float x, float y ) { int quo; x = remquof( x, y, &quo ); return [ quo, x ]; } | 
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|  | 43 | [ int, double ] remquo( double x, double y ) { int quo; x = remquo( x, y, &quo ); return [ quo, x ]; } | 
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|  | 44 | [ int, long double ] remquo( long double x, long double y ) { int quo; x = remquol( x, y, &quo ); return [ quo, x ]; } | 
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|  | 45 |  | 
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|  | 46 | [ float, float ] div( float x, float y ) { y = modff( x / y, &x ); return [ x, y ]; } | 
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|  | 47 | [ double, double ] div( double x, double y ) { y = modf( x / y, &x ); return [ x, y ]; } | 
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|  | 48 | [ long double, long double ] div( long double x, long double y ) { y = modfl( x / y, &x ); return [ x, y ]; } | 
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|  | 49 |  | 
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|  | 50 | float fma( float x, float y, float z ) { return fmaf( x, y, z ); } | 
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|  | 51 | // extern "C" { double fma( double, double, double ); } | 
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|  | 52 | long double fma( long double x, long double y, long double z ) { return fmal( x, y, z ); } | 
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|  | 53 |  | 
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|  | 54 | float fdim( float x, float y ) { return fdimf( x, y ); } | 
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|  | 55 | // extern "C" { double fdim( double, double ); } | 
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|  | 56 | long double fdim( long double x, long double y ) { return fdiml( x, y ); } | 
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|  | 57 |  | 
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|  | 58 | float nan( const char tag[] ) { return nanf( tag ); } | 
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|  | 59 | // extern "C" { double nan( const char [] ); } | 
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|  | 60 | long double nan( const char tag[] ) { return nanl( tag ); } | 
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|  | 61 | } // distribution | 
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| [6e991d6] | 62 |  | 
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| [dc5376a] | 63 | //---------------------- Exponential ---------------------- | 
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| [6e991d6] | 64 |  | 
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| [7cfef0d] | 65 | static inline { | 
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|  | 66 | float exp( float x ) { return expf( x ); } | 
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|  | 67 | // extern "C" { double exp( double ); } | 
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|  | 68 | long double exp( long double x ) { return expl( x ); } | 
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|  | 69 | float _Complex exp( float _Complex x ) { return cexpf( x ); } | 
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|  | 70 | double _Complex exp( double _Complex x ) { return cexp( x ); } | 
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|  | 71 | long double _Complex exp( long double _Complex x ) { return cexpl( x ); } | 
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|  | 72 |  | 
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|  | 73 | float exp2( float x ) { return exp2f( x ); } | 
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|  | 74 | // extern "C" { double exp2( double ); } | 
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|  | 75 | long double exp2( long double x ) { return exp2l( x ); } | 
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|  | 76 | //float _Complex exp2( float _Complex x ) { return cexp2f( x ); } | 
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|  | 77 | //double _Complex exp2( double _Complex x ) { return cexp2( x ); } | 
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|  | 78 | //long double _Complex exp2( long double _Complex x ) { return cexp2l( x ); } | 
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|  | 79 |  | 
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|  | 80 | float expm1( float x ) { return expm1f( x ); } | 
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|  | 81 | // extern "C" { double expm1( double ); } | 
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|  | 82 | long double expm1( long double x ) { return expm1l( x ); } | 
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|  | 83 |  | 
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|  | 84 | float pow( float x, float y ) { return powf( x, y ); } | 
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|  | 85 | // extern "C" { double pow( double, double ); } | 
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|  | 86 | long double pow( long double x, long double y ) { return powl( x, y ); } | 
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|  | 87 | float _Complex pow( float _Complex x, float _Complex y ) { return cpowf( x, y ); } | 
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|  | 88 | double _Complex pow( double _Complex x, double _Complex y ) { return cpow( x, y ); } | 
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|  | 89 | long double _Complex pow( long double _Complex x, long double _Complex y ) { return cpowl( x, y ); } | 
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|  | 90 | } // distribution | 
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| [dab7ac7] | 91 |  | 
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|  | 92 | //---------------------- Logarithm ---------------------- | 
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|  | 93 |  | 
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| [7cfef0d] | 94 | static inline { | 
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|  | 95 | float log( float x ) { return logf( x ); } | 
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|  | 96 | // extern "C" { double log( double ); } | 
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|  | 97 | long double log( long double x ) { return logl( x ); } | 
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|  | 98 | float _Complex log( float _Complex x ) { return clogf( x ); } | 
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|  | 99 | double _Complex log( double _Complex x ) { return clog( x ); } | 
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|  | 100 | long double _Complex log( long double _Complex x ) { return clogl( x ); } | 
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|  | 101 |  | 
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| [4c4e444] | 102 | // O(1) polymorphic integer log2, using clz, which returns the number of leading 0-bits, starting at the most | 
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|  | 103 | // significant bit (single instruction on x86) | 
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|  | 104 | int log2( unsigned int n ) { return n == 0 ? -1 : sizeof(n) * __CHAR_BIT__ - 1 - __builtin_clz( n ); } | 
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|  | 105 | long int log2( unsigned long int n ) { return n == 0 ? -1 : sizeof(n) * __CHAR_BIT__ - 1 - __builtin_clzl( n ); } | 
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| [2f5ea69] | 106 | long long int log2( unsigned long long int n ) { return n == 0 ? -1 : sizeof(n) * __CHAR_BIT__ - 1 - __builtin_clzll( n ); } | 
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| [7cfef0d] | 107 | float log2( float x ) { return log2f( x ); } | 
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|  | 108 | // extern "C" { double log2( double ); } | 
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|  | 109 | long double log2( long double x ) { return log2l( x ); } | 
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|  | 110 | // float _Complex log2( float _Complex x ) { return clog2f( x ); } | 
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|  | 111 | // double _Complex log2( double _Complex x ) { return clog2( x ); } | 
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|  | 112 | // long double _Complex log2( long double _Complex x ) { return clog2l( x ); } | 
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|  | 113 |  | 
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|  | 114 | float log10( float x ) { return log10f( x ); } | 
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|  | 115 | // extern "C" { double log10( double ); } | 
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|  | 116 | long double log10( long double x ) { return log10l( x ); } | 
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|  | 117 | // float _Complex log10( float _Complex x ) { return clog10f( x ); } | 
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|  | 118 | // double _Complex log10( double _Complex x ) { return clog10( x ); } | 
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|  | 119 | // long double _Complex log10( long double _Complex x ) { return clog10l( x ); } | 
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|  | 120 |  | 
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|  | 121 | float log1p( float x ) { return log1pf( x ); } | 
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|  | 122 | // extern "C" { double log1p( double ); } | 
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|  | 123 | long double log1p( long double x ) { return log1pl( x ); } | 
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|  | 124 |  | 
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|  | 125 | int ilogb( float x ) { return ilogbf( x ); } | 
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|  | 126 | // extern "C" { int ilogb( double ); } | 
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|  | 127 | int ilogb( long double x ) { return ilogbl( x ); } | 
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|  | 128 |  | 
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|  | 129 | float logb( float x ) { return logbf( x ); } | 
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|  | 130 | // extern "C" { double logb( double ); } | 
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|  | 131 | long double logb( long double x ) { return logbl( x ); } | 
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|  | 132 |  | 
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|  | 133 | float sqrt( float x ) { return sqrtf( x ); } | 
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|  | 134 | // extern "C" { double sqrt( double ); } | 
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|  | 135 | long double sqrt( long double x ) { return sqrtl( x ); } | 
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|  | 136 | float _Complex sqrt( float _Complex x ) { return csqrtf( x ); } | 
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|  | 137 | double _Complex sqrt( double _Complex x ) { return csqrt( x ); } | 
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|  | 138 | long double _Complex sqrt( long double _Complex x ) { return csqrtl( x ); } | 
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|  | 139 |  | 
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|  | 140 | float cbrt( float x ) { return cbrtf( x ); } | 
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|  | 141 | // extern "C" { double cbrt( double ); } | 
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|  | 142 | long double cbrt( long double x ) { return cbrtl( x ); } | 
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|  | 143 |  | 
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|  | 144 | float hypot( float x, float y ) { return hypotf( x, y ); } | 
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|  | 145 | // extern "C" { double hypot( double, double ); } | 
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|  | 146 | long double hypot( long double x, long double y ) { return hypotl( x, y ); } | 
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|  | 147 | } // distribution | 
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| [6e991d6] | 148 |  | 
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| [dc5376a] | 149 | //---------------------- Trigonometric ---------------------- | 
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| [6e991d6] | 150 |  | 
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| [7cfef0d] | 151 | static inline { | 
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|  | 152 | float sin( float x ) { return sinf( x ); } | 
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|  | 153 | // extern "C" { double sin( double ); } | 
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|  | 154 | long double sin( long double x ) { return sinl( x ); } | 
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|  | 155 | float _Complex sin( float _Complex x ) { return csinf( x ); } | 
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|  | 156 | double _Complex sin( double _Complex x ) { return csin( x ); } | 
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|  | 157 | long double _Complex sin( long double _Complex x ) { return csinl( x ); } | 
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|  | 158 |  | 
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|  | 159 | float cos( float x ) { return cosf( x ); } | 
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|  | 160 | // extern "C" { double cos( double ); } | 
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|  | 161 | long double cos( long double x ) { return cosl( x ); } | 
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|  | 162 | float _Complex cos( float _Complex x ) { return ccosf( x ); } | 
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|  | 163 | double _Complex cos( double _Complex x ) { return ccos( x ); } | 
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|  | 164 | long double _Complex cos( long double _Complex x ) { return ccosl( x ); } | 
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|  | 165 |  | 
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|  | 166 | float tan( float x ) { return tanf( x ); } | 
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|  | 167 | // extern "C" { double tan( double ); } | 
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|  | 168 | long double tan( long double x ) { return tanl( x ); } | 
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|  | 169 | float _Complex tan( float _Complex x ) { return ctanf( x ); } | 
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|  | 170 | double _Complex tan( double _Complex x ) { return ctan( x ); } | 
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|  | 171 | long double _Complex tan( long double _Complex x ) { return ctanl( x ); } | 
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|  | 172 |  | 
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|  | 173 | float asin( float x ) { return asinf( x ); } | 
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|  | 174 | // extern "C" { double asin( double ); } | 
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|  | 175 | long double asin( long double x ) { return asinl( x ); } | 
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|  | 176 | float _Complex asin( float _Complex x ) { return casinf( x ); } | 
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|  | 177 | double _Complex asin( double _Complex x ) { return casin( x ); } | 
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|  | 178 | long double _Complex asin( long double _Complex x ) { return casinl( x ); } | 
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|  | 179 |  | 
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|  | 180 | float acos( float x ) { return acosf( x ); } | 
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|  | 181 | // extern "C" { double acos( double ); } | 
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|  | 182 | long double acos( long double x ) { return acosl( x ); } | 
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|  | 183 | float _Complex acos( float _Complex x ) { return cacosf( x ); } | 
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|  | 184 | double _Complex acos( double _Complex x ) { return cacos( x ); } | 
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|  | 185 | long double _Complex acos( long double _Complex x ) { return cacosl( x ); } | 
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|  | 186 |  | 
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|  | 187 | float atan( float x ) { return atanf( x ); } | 
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|  | 188 | // extern "C" { double atan( double ); } | 
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|  | 189 | long double atan( long double x ) { return atanl( x ); } | 
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|  | 190 | float _Complex atan( float _Complex x ) { return catanf( x ); } | 
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|  | 191 | double _Complex atan( double _Complex x ) { return catan( x ); } | 
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|  | 192 | long double _Complex atan( long double _Complex x ) { return catanl( x ); } | 
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|  | 193 |  | 
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|  | 194 | float atan2( float x, float y ) { return atan2f( x, y ); } | 
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|  | 195 | // extern "C" { double atan2( double, double ); } | 
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|  | 196 | long double atan2( long double x, long double y ) { return atan2l( x, y ); } | 
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|  | 197 |  | 
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|  | 198 | // alternative name for atan2 | 
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|  | 199 | float atan( float x, float y ) { return atan2f( x, y ); } | 
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|  | 200 | double atan( double x, double y ) { return atan2( x, y ); } | 
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|  | 201 | long double atan( long double x, long double y ) { return atan2l( x, y ); } | 
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|  | 202 | } // distribution | 
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| [6e991d6] | 203 |  | 
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| [dc5376a] | 204 | //---------------------- Hyperbolic ---------------------- | 
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| [6e991d6] | 205 |  | 
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| [7cfef0d] | 206 | static inline { | 
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|  | 207 | float sinh( float x ) { return sinhf( x ); } | 
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|  | 208 | // extern "C" { double sinh( double ); } | 
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|  | 209 | long double sinh( long double x ) { return sinhl( x ); } | 
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|  | 210 | float _Complex sinh( float _Complex x ) { return csinhf( x ); } | 
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|  | 211 | double _Complex sinh( double _Complex x ) { return csinh( x ); } | 
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|  | 212 | long double _Complex sinh( long double _Complex x ) { return csinhl( x ); } | 
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|  | 213 |  | 
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|  | 214 | float cosh( float x ) { return coshf( x ); } | 
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|  | 215 | // extern "C" { double cosh( double ); } | 
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|  | 216 | long double cosh( long double x ) { return coshl( x ); } | 
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|  | 217 | float _Complex cosh( float _Complex x ) { return ccoshf( x ); } | 
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|  | 218 | double _Complex cosh( double _Complex x ) { return ccosh( x ); } | 
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|  | 219 | long double _Complex cosh( long double _Complex x ) { return ccoshl( x ); } | 
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|  | 220 |  | 
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|  | 221 | float tanh( float x ) { return tanhf( x ); } | 
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|  | 222 | // extern "C" { double tanh( double ); } | 
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|  | 223 | long double tanh( long double x ) { return tanhl( x ); } | 
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|  | 224 | float _Complex tanh( float _Complex x ) { return ctanhf( x ); } | 
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|  | 225 | double _Complex tanh( double _Complex x ) { return ctanh( x ); } | 
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|  | 226 | long double _Complex tanh( long double _Complex x ) { return ctanhl( x ); } | 
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|  | 227 |  | 
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|  | 228 | float asinh( float x ) { return asinhf( x ); } | 
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|  | 229 | // extern "C" { double asinh( double ); } | 
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|  | 230 | long double asinh( long double x ) { return asinhl( x ); } | 
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|  | 231 | float _Complex asinh( float _Complex x ) { return casinhf( x ); } | 
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|  | 232 | double _Complex asinh( double _Complex x ) { return casinh( x ); } | 
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|  | 233 | long double _Complex asinh( long double _Complex x ) { return casinhl( x ); } | 
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|  | 234 |  | 
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|  | 235 | float acosh( float x ) { return acoshf( x ); } | 
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|  | 236 | // extern "C" { double acosh( double ); } | 
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|  | 237 | long double acosh( long double x ) { return acoshl( x ); } | 
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|  | 238 | float _Complex acosh( float _Complex x ) { return cacoshf( x ); } | 
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|  | 239 | double _Complex acosh( double _Complex x ) { return cacosh( x ); } | 
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|  | 240 | long double _Complex acosh( long double _Complex x ) { return cacoshl( x ); } | 
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|  | 241 |  | 
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|  | 242 | float atanh( float x ) { return atanhf( x ); } | 
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|  | 243 | // extern "C" { double atanh( double ); } | 
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|  | 244 | long double atanh( long double x ) { return atanhl( x ); } | 
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|  | 245 | float _Complex atanh( float _Complex x ) { return catanhf( x ); } | 
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|  | 246 | double _Complex atanh( double _Complex x ) { return catanh( x ); } | 
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|  | 247 | long double _Complex atanh( long double _Complex x ) { return catanhl( x ); } | 
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|  | 248 | } // distribution | 
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| [dc5376a] | 249 |  | 
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|  | 250 | //---------------------- Error / Gamma ---------------------- | 
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|  | 251 |  | 
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| [7cfef0d] | 252 | static inline { | 
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|  | 253 | float erf( float x ) { return erff( x ); } | 
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|  | 254 | // extern "C" { double erf( double ); } | 
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|  | 255 | long double erf( long double x ) { return erfl( x ); } | 
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|  | 256 | // float _Complex erf( float _Complex ); | 
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|  | 257 | // double _Complex erf( double _Complex ); | 
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|  | 258 | // long double _Complex erf( long double _Complex ); | 
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|  | 259 |  | 
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|  | 260 | float erfc( float x ) { return erfcf( x ); } | 
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|  | 261 | // extern "C" { double erfc( double ); } | 
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|  | 262 | long double erfc( long double x ) { return erfcl( x ); } | 
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|  | 263 | // float _Complex erfc( float _Complex ); | 
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|  | 264 | // double _Complex erfc( double _Complex ); | 
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|  | 265 | // long double _Complex erfc( long double _Complex ); | 
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|  | 266 |  | 
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|  | 267 | float lgamma( float x ) { return lgammaf( x ); } | 
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|  | 268 | // extern "C" { double lgamma( double ); } | 
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|  | 269 | long double lgamma( long double x ) { return lgammal( x ); } | 
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|  | 270 | float lgamma( float x, int * sign ) { return lgammaf_r( x, sign ); } | 
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|  | 271 | double lgamma( double x, int * sign ) { return lgamma_r( x, sign ); } | 
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|  | 272 | long double lgamma( long double x, int * sign ) { return lgammal_r( x, sign ); } | 
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|  | 273 |  | 
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|  | 274 | float tgamma( float x ) { return tgammaf( x ); } | 
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|  | 275 | // extern "C" { double tgamma( double ); } | 
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|  | 276 | long double tgamma( long double x ) { return tgammal( x ); } | 
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|  | 277 | } // distribution | 
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| [6e991d6] | 278 |  | 
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| [dc5376a] | 279 | //---------------------- Nearest Integer ---------------------- | 
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|  | 280 |  | 
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| [7cfef0d] | 281 | static inline { | 
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|  | 282 | signed char floor( signed char n, signed char align ) { return n / align * align; } | 
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|  | 283 | unsigned char floor( unsigned char n, unsigned char align ) { return n / align * align; } | 
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|  | 284 | short int floor( short int n, short int align ) { return n / align * align; } | 
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|  | 285 | unsigned short int floor( unsigned short int n, unsigned short int align ) { return n / align * align; } | 
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|  | 286 | int floor( int n, int align ) { return n / align * align; } | 
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|  | 287 | unsigned int floor( unsigned int n, unsigned int align ) { return n / align * align; } | 
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|  | 288 | long int floor( long int n, long int align ) { return n / align * align; } | 
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|  | 289 | unsigned long int floor( unsigned long int n, unsigned long int align ) { return n / align * align; } | 
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|  | 290 | long long int floor( long long int n, long long int align ) { return n / align * align; } | 
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|  | 291 | unsigned long long int floor( unsigned long long int n, unsigned long long int align ) { return n / align * align; } | 
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|  | 292 |  | 
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| [fd54fef] | 293 | // forall( T | { T ?/?( T, T ); T ?*?( T, T ); } ) | 
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| [7cfef0d] | 294 | // T floor( T n, T align ) { return n / align * align; } | 
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|  | 295 |  | 
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|  | 296 | signed char ceiling_div( signed char n, char align ) { return (n + (align - 1)) / align; } | 
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|  | 297 | unsigned char ceiling_div( unsigned char n, unsigned char align ) { return (n + (align - 1)) / align; } | 
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|  | 298 | short int ceiling_div( short int n, short int align ) { return (n + (align - 1)) / align; } | 
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|  | 299 | unsigned short int ceiling_div( unsigned short int n, unsigned short int align ) { return (n + (align - 1)) / align; } | 
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|  | 300 | int ceiling_div( int n, int align ) { return (n + (align - 1)) / align; } | 
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|  | 301 | unsigned int ceiling_div( unsigned int n, unsigned int align ) { return (n + (align - 1)) / align; } | 
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|  | 302 | long int ceiling_div( long int n, long int align ) { return (n + (align - 1)) / align; } | 
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|  | 303 | unsigned long int ceiling_div( unsigned long int n, unsigned long int align ) { return (n + (align - 1)) / align; } | 
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|  | 304 | long long int ceiling_div( long long int n, long long int align ) { return (n + (align - 1)) / align; } | 
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|  | 305 | unsigned long long int ceiling_div( unsigned long long int n, unsigned long long int align ) { return (n + (align - 1)) / align; } | 
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|  | 306 |  | 
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| [fd54fef] | 307 | // forall( T | { T ?+?( T, T ); T ?-?( T, T ); T ?%?( T, T ); } ) | 
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| [7cfef0d] | 308 | // T ceiling_div( T n, T align ) { verify( is_pow2( align ) );return (n + (align - 1)) / align; } | 
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|  | 309 |  | 
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|  | 310 | // gcc notices the div/mod pair and saves both so only one div. | 
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|  | 311 | signed char ceiling( signed char n, signed char align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 312 | unsigned char ceiling( unsigned char n, unsigned char align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 313 | short int ceiling( short int n, short int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 314 | unsigned short int ceiling( unsigned short int n, unsigned short int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 315 | int ceiling( int n, int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 316 | unsigned int ceiling( unsigned int n, unsigned int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 317 | long int ceiling( long int n, long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 318 | unsigned long int ceiling( unsigned long int n, unsigned long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0) , align); } | 
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|  | 319 | long long int ceiling( long long int n, long long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 320 | unsigned long long int ceiling( unsigned long long int n, unsigned long long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); } | 
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|  | 321 |  | 
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| [fd54fef] | 322 | // forall( T | { void ?{}( T &, one_t ); T ?+?( T, T ); T ?-?( T, T ); T ?/?( T, T ); } ) | 
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| [7cfef0d] | 323 | // T ceiling( T n, T align ) { return return floor( n + (n % align != 0 ? align - 1 : 0), align ); *} | 
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|  | 324 |  | 
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|  | 325 | float floor( float x ) { return floorf( x ); } | 
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|  | 326 | // extern "C" { double floor( double ); } | 
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|  | 327 | long double floor( long double x ) { return floorl( x ); } | 
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|  | 328 |  | 
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|  | 329 | float ceil( float x ) { return ceilf( x ); } | 
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|  | 330 | // extern "C" { double ceil( double ); } | 
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|  | 331 | long double ceil( long double x ) { return ceill( x ); } | 
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|  | 332 |  | 
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|  | 333 | float trunc( float x ) { return truncf( x ); } | 
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|  | 334 | // extern "C" { double trunc( double ); } | 
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|  | 335 | long double trunc( long double x ) { return truncl( x ); } | 
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|  | 336 |  | 
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|  | 337 | float rint( float x ) { return rintf( x ); } | 
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|  | 338 | // extern "C" { double rint( double x ); } | 
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|  | 339 | long double rint( long double x ) { return rintl( x ); } | 
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|  | 340 | long int rint( float x ) { return lrintf( x ); } | 
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|  | 341 | long int rint( double x ) { return lrint( x ); } | 
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|  | 342 | long int rint( long double x ) { return lrintl( x ); } | 
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|  | 343 | long long int rint( float x ) { return llrintf( x ); } | 
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|  | 344 | long long int rint( double x ) { return llrint( x ); } | 
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|  | 345 | long long int rint( long double x ) { return llrintl( x ); } | 
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|  | 346 |  | 
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|  | 347 | long int lrint( float x ) { return lrintf( x ); } | 
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|  | 348 | // extern "C" { long int lrint( double ); } | 
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|  | 349 | long int lrint( long double x ) { return lrintl( x ); } | 
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|  | 350 | long long int llrint( float x ) { return llrintf( x ); } | 
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|  | 351 | // extern "C" { long long int llrint( double ); } | 
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|  | 352 | long long int llrint( long double x ) { return llrintl( x ); } | 
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|  | 353 |  | 
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|  | 354 | float nearbyint( float x ) { return nearbyintf( x ); } | 
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|  | 355 | // extern "C" { double nearbyint( double ); } | 
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|  | 356 | long double nearbyint( long double x ) { return nearbyintl( x ); } | 
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|  | 357 |  | 
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|  | 358 | float round( float x ) { return roundf( x ); } | 
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|  | 359 | // extern "C" { double round( double x ); } | 
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|  | 360 | long double round( long double x ) { return roundl( x ); } | 
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|  | 361 | long int round( float x ) { return lroundf( x ); } | 
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|  | 362 | long int round( double x ) { return lround( x ); } | 
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|  | 363 | long int round( long double x ) { return lroundl( x ); } | 
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|  | 364 | long long int round( float x ) { return llroundf( x ); } | 
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|  | 365 | long long int round( double x ) { return llround( x ); } | 
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|  | 366 | long long int round( long double x ) { return llroundl( x ); } | 
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|  | 367 |  | 
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|  | 368 | long int lround( float x ) { return lroundf( x ); } | 
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|  | 369 | // extern "C" { long int lround( double ); } | 
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|  | 370 | long int lround( long double x ) { return lroundl( x ); } | 
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|  | 371 | long long int llround( float x ) { return llroundf( x ); } | 
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|  | 372 | // extern "C" { long long int llround( double ); } | 
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|  | 373 | long long int llround( long double x ) { return llroundl( x ); } | 
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|  | 374 | } // distribution | 
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| [6e991d6] | 375 |  | 
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| [dc5376a] | 376 | //---------------------- Manipulation ---------------------- | 
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| [6e991d6] | 377 |  | 
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| [7cfef0d] | 378 | static inline { | 
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|  | 379 | float copysign( float x, float y ) { return copysignf( x, y ); } | 
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|  | 380 | // extern "C" { double copysign( double, double ); } | 
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|  | 381 | long double copysign( long double x, long double y ) { return copysignl( x, y ); } | 
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|  | 382 |  | 
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|  | 383 | float frexp( float x, int * ip ) { return frexpf( x, ip ); } | 
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|  | 384 | // extern "C" { double frexp( double, int * ); } | 
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|  | 385 | long double frexp( long double x, int * ip ) { return frexpl( x, ip ); } | 
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|  | 386 |  | 
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|  | 387 | float ldexp( float x, int exp2 ) { return ldexpf( x, exp2 ); } | 
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|  | 388 | // extern "C" { double ldexp( double, int ); } | 
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|  | 389 | long double ldexp( long double x, int exp2 ) { return ldexpl( x, exp2 ); } | 
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|  | 390 |  | 
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|  | 391 | [ float, float ] modf( float x ) { float i; x = modff( x, &i ); return [ i, x ]; } | 
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|  | 392 | float modf( float x, float * i ) { return modff( x, i ); } | 
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|  | 393 | [ double, double ] modf( double x ) { double i; x = modf( x, &i ); return [ i, x ]; } | 
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|  | 394 | // extern "C" { double modf( double, double * ); } | 
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|  | 395 | [ long double, long double ] modf( long double x ) { long double i; x = modfl( x, &i ); return [ i, x ]; } | 
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|  | 396 | long double modf( long double x, long double * i ) { return modfl( x, i ); } | 
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|  | 397 |  | 
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|  | 398 | float nextafter( float x, float y ) { return nextafterf( x, y ); } | 
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|  | 399 | // extern "C" { double nextafter( double, double ); } | 
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|  | 400 | long double nextafter( long double x, long double y ) { return nextafterl( x, y ); } | 
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|  | 401 |  | 
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|  | 402 | float nexttoward( float x, long double y ) { return nexttowardf( x, y ); } | 
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|  | 403 | // extern "C" { double nexttoward( double, long double ); } | 
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|  | 404 | long double nexttoward( long double x, long double y ) { return nexttowardl( x, y ); } | 
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|  | 405 |  | 
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|  | 406 | float scalbn( float x, int exp ) { return scalbnf( x, exp ); } | 
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|  | 407 | // extern "C" { double scalbn( double, int ); } | 
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|  | 408 | long double scalbn( long double x, int exp ) { return scalbnl( x, exp ); } | 
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|  | 409 | float scalbn( float x, long int exp ) { return scalblnf( x, exp ); } | 
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|  | 410 | double scalbn( double x, long int exp ) { return scalbln( x, exp ); } | 
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|  | 411 | long double scalbn( long double x, long int exp ) { return scalblnl( x, exp ); } | 
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|  | 412 |  | 
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|  | 413 | float scalbln( float x, long int exp ) { return scalblnf( x, exp ); } | 
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|  | 414 | // extern "C" { double scalbln( double, long int ); } | 
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|  | 415 | long double scalbln( long double x, long int exp ) { return scalblnl( x, exp ); } | 
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|  | 416 | } // distribution | 
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| [0fc52b6] | 417 |  | 
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| [6b8b767] | 418 | //--------------------------------------- | 
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|  | 419 |  | 
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| [7cfef0d] | 420 | static inline { | 
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| [fd54fef] | 421 | forall( T | { void ?{}( T &, one_t ); T ?+?( T, T ); T ?-?( T, T );T ?*?( T, T ); } ) | 
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| [7cfef0d] | 422 | T lerp( T x, T y, T a ) { return x * ((T){1} - a) + y * a; } | 
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| [6b8b767] | 423 |  | 
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| [fd54fef] | 424 | forall( T | { void ?{}( T &, zero_t ); void ?{}( T &, one_t ); int ?<?( T, T ); } ) | 
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| [7cfef0d] | 425 | T step( T edge, T x ) { return x < edge ? (T){0} : (T){1}; } | 
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| [6b8b767] | 426 |  | 
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| [fd54fef] | 427 | forall( T | { void ?{}( T &, int ); T clamp( T, T, T ); T ?-?( T, T ); T ?*?( T, T ); T ?/?( T, T ); } ) | 
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| [7cfef0d] | 428 | T smoothstep( T edge0, T edge1, T x ) { T t = clamp( (x - edge0) / (edge1 - edge0), (T){0}, (T){1} ); return t * t * ((T){3} - (T){2} * t); } | 
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|  | 429 | } // distribution | 
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| [6b8b767] | 430 |  | 
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| [6e991d6] | 431 | // Local Variables: // | 
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|  | 432 | // mode: c // | 
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|  | 433 | // tab-width: 4 // | 
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|  | 434 | // End: // | 
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