| 1 | /*************************************************************************** | 
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| 2 | * blitz/applics.h      Applicative template classes | 
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| 3 | * | 
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| 4 | * $Id: applics.h,v 1.1.1.1 1999-11-26 16:37:02 ansari Exp $ | 
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| 5 | * | 
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| 6 | * Copyright (C) 1997,1998 Todd Veldhuizen <tveldhui@seurat.uwaterloo.ca> | 
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| 7 | * | 
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| 8 | * This program is free software; you can redistribute it and/or | 
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| 9 | * modify it under the terms of the GNU General Public License | 
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| 10 | * as published by the Free Software Foundation; either version 2 | 
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| 11 | * of the License, or (at your option) any later version. | 
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| 12 | * | 
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| 13 | * This program is distributed in the hope that it will be useful, | 
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| 14 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | 
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| 15 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
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| 16 | * GNU General Public License for more details. | 
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| 17 | * | 
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| 18 | * Suggestions:          blitz-suggest@cybervision.com | 
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| 19 | * Bugs:                 blitz-bugs@cybervision.com | 
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| 20 | * | 
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| 21 | * For more information, please see the Blitz++ Home Page: | 
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| 22 | *    http://seurat.uwaterloo.ca/blitz/ | 
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| 23 | * | 
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| 24 | *************************************************************************** | 
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| 25 | * $Log: not supported by cvs2svn $ | 
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| 26 | * Revision 1.1.1.1  1999/04/09  17:58:58  ansari | 
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| 27 | * Creation module DPC/Blitz (blitz 0.4) Reza 09/04/99 | 
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| 28 | * | 
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| 29 | * Revision 1.5  1998/03/14 00:04:47  tveldhui | 
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| 30 | * 0.2-alpha-05 | 
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| 31 | * | 
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| 32 | * Revision 1.4  1997/07/16 14:51:20  tveldhui | 
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| 33 | * Update: Alpha release 0.2 (Arrays) | 
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| 34 | * | 
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| 35 | * Revision 1.3  1997/01/24 14:42:00  tveldhui | 
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| 36 | * Periodic RCS update | 
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| 37 | * | 
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| 38 | * Revision 1.2  1997/01/13 22:19:58  tveldhui | 
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| 39 | * Periodic RCS update | 
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| 40 | * | 
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| 41 | * | 
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| 42 | */ | 
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| 43 |  | 
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| 44 | #ifndef BZ_APPLICS_H | 
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| 45 | #define BZ_APPLICS_H | 
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| 46 |  | 
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| 47 | #ifndef BZ_BLITZ_H | 
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| 48 | #include <blitz/blitz.h> | 
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| 49 | #endif | 
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| 50 |  | 
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| 51 | #ifndef BZ_PROMOTE_H | 
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| 52 | #include <blitz/promote.h> | 
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| 53 | #endif | 
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| 54 |  | 
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| 55 | #ifndef BZ_NUMTRAIT_H | 
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| 56 | #include <blitz/numtrait.h> | 
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| 57 | #endif | 
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| 58 |  | 
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| 59 | BZ_NAMESPACE(blitz) | 
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| 60 |  | 
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| 61 | // These base classes are included for no other reason than to keep | 
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| 62 | // the applicative templates clustered together in a graphical | 
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| 63 | // class browser. | 
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| 64 | class ApplicativeTemplatesBase { }; | 
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| 65 | class TwoOperandApplicativeTemplatesBase : public ApplicativeTemplatesBase { }; | 
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| 66 | class OneOperandApplicativeTemplatesBase : public ApplicativeTemplatesBase { }; | 
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| 67 |  | 
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| 68 | template<class P_numtype1, class P_numtype2> | 
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| 69 | class _bz_Add : public TwoOperandApplicativeTemplatesBase { | 
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| 70 | public: | 
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| 71 | typedef P_numtype1 T_numtype1; | 
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| 72 | typedef P_numtype2 T_numtype2; | 
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| 73 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 74 | typedef T_promote  T_numtype; | 
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| 75 |  | 
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| 76 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 77 | { return x + y; } | 
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| 78 | }; | 
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| 79 |  | 
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| 80 | template<class P_numtype1, class P_numtype2> | 
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| 81 | class _bz_Subtract : public TwoOperandApplicativeTemplatesBase { | 
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| 82 | public: | 
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| 83 | typedef P_numtype1 T_numtype1; | 
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| 84 | typedef P_numtype2 T_numtype2; | 
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| 85 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 86 | typedef T_promote  T_numtype; | 
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| 87 |  | 
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| 88 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 89 | { return x - y; } | 
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| 90 | }; | 
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| 91 |  | 
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| 92 | template<class P_numtype1, class P_numtype2> | 
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| 93 | class _bz_Multiply : public TwoOperandApplicativeTemplatesBase { | 
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| 94 | public: | 
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| 95 | typedef P_numtype1 T_numtype1; | 
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| 96 | typedef P_numtype2 T_numtype2; | 
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| 97 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 98 | typedef T_promote  T_numtype; | 
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| 99 |  | 
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| 100 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 101 | { return x * y; } | 
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| 102 | }; | 
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| 103 |  | 
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| 104 | template<class P_numtype1, class P_numtype2> | 
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| 105 | class _bz_Divide : public TwoOperandApplicativeTemplatesBase { | 
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| 106 | public: | 
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| 107 | typedef P_numtype1 T_numtype1; | 
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| 108 | typedef P_numtype2 T_numtype2; | 
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| 109 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 110 | typedef T_promote  T_numtype; | 
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| 111 |  | 
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| 112 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 113 | { return x / y; } | 
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| 114 | }; | 
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| 115 |  | 
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| 116 | template<class P_numtype1, class P_numtype2> | 
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| 117 | class _bz_Mod : public TwoOperandApplicativeTemplatesBase { | 
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| 118 | public: | 
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| 119 | typedef P_numtype1 T_numtype1; | 
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| 120 | typedef P_numtype2 T_numtype2; | 
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| 121 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 122 | typedef T_promote  T_numtype; | 
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| 123 |  | 
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| 124 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 125 | { return x % y; } | 
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| 126 | }; | 
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| 127 |  | 
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| 128 | template<class P_numtype1, class P_numtype2> | 
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| 129 | class _bz_BitwiseXOR : public TwoOperandApplicativeTemplatesBase { | 
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| 130 | public: | 
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| 131 | typedef P_numtype1 T_numtype1; | 
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| 132 | typedef P_numtype2 T_numtype2; | 
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| 133 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 134 | typedef T_promote  T_numtype; | 
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| 135 |  | 
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| 136 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 137 | { return x ^ y; } | 
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| 138 | }; | 
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| 139 |  | 
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| 140 | template<class P_numtype1, class P_numtype2> | 
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| 141 | class _bz_BitwiseAnd : public TwoOperandApplicativeTemplatesBase { | 
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| 142 | public: | 
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| 143 | typedef P_numtype1 T_numtype1; | 
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| 144 | typedef P_numtype2 T_numtype2; | 
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| 145 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 146 | typedef T_promote  T_numtype; | 
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| 147 |  | 
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| 148 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 149 | { return x & y; } | 
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| 150 | }; | 
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| 151 |  | 
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| 152 | template<class P_numtype1, class P_numtype2> | 
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| 153 | class _bz_BitwiseOr : public TwoOperandApplicativeTemplatesBase { | 
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| 154 | public: | 
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| 155 | typedef P_numtype1 T_numtype1; | 
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| 156 | typedef P_numtype2 T_numtype2; | 
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| 157 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 158 | typedef T_promote  T_numtype; | 
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| 159 |  | 
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| 160 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 161 | { return x | y; } | 
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| 162 | }; | 
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| 163 |  | 
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| 164 | template<class P_numtype1, class P_numtype2> | 
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| 165 | class _bz_ShiftRight : public TwoOperandApplicativeTemplatesBase { | 
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| 166 | public: | 
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| 167 | typedef P_numtype1 T_numtype1; | 
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| 168 | typedef P_numtype2 T_numtype2; | 
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| 169 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 170 | typedef T_promote  T_numtype; | 
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| 171 |  | 
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| 172 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 173 | { return x >> y; } | 
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| 174 | }; | 
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| 175 |  | 
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| 176 | template<class P_numtype1, class P_numtype2> | 
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| 177 | class _bz_ShiftLeft : public TwoOperandApplicativeTemplatesBase { | 
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| 178 | public: | 
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| 179 | typedef P_numtype1 T_numtype1; | 
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| 180 | typedef P_numtype2 T_numtype2; | 
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| 181 | typedef BZ_PROMOTE(T_numtype1,T_numtype2) T_promote; | 
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| 182 | typedef T_promote  T_numtype; | 
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| 183 |  | 
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| 184 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 185 | { return x << y; } | 
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| 186 | }; | 
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| 187 |  | 
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| 188 | template<class P_numtype1, class P_numtype2> | 
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| 189 | class _bz_Greater : public TwoOperandApplicativeTemplatesBase { | 
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| 190 | public: | 
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| 191 | typedef P_numtype1 T_numtype1; | 
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| 192 | typedef P_numtype2 T_numtype2; | 
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| 193 | typedef _bz_bool   T_promote; | 
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| 194 | typedef T_promote  T_numtype; | 
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| 195 |  | 
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| 196 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 197 | { return x > y; } | 
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| 198 | }; | 
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| 199 |  | 
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| 200 | template<class P_numtype1, class P_numtype2> | 
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| 201 | class _bz_Less : public TwoOperandApplicativeTemplatesBase { | 
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| 202 | public: | 
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| 203 | typedef P_numtype1 T_numtype1; | 
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| 204 | typedef P_numtype2 T_numtype2; | 
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| 205 | typedef _bz_bool   T_promote; | 
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| 206 | typedef T_promote  T_numtype; | 
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| 207 |  | 
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| 208 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 209 | { return x < y; } | 
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| 210 | }; | 
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| 211 |  | 
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| 212 | template<class P_numtype1, class P_numtype2> | 
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| 213 | class _bz_GreaterOrEqual : public TwoOperandApplicativeTemplatesBase { | 
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| 214 | public: | 
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| 215 | typedef P_numtype1 T_numtype1; | 
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| 216 | typedef P_numtype2 T_numtype2; | 
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| 217 | typedef _bz_bool   T_promote; | 
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| 218 | typedef T_promote  T_numtype; | 
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| 219 |  | 
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| 220 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 221 | { return x >= y; } | 
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| 222 | }; | 
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| 223 |  | 
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| 224 | template<class P_numtype1, class P_numtype2> | 
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| 225 | class _bz_LessOrEqual : public TwoOperandApplicativeTemplatesBase { | 
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| 226 | public: | 
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| 227 | typedef P_numtype1 T_numtype1; | 
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| 228 | typedef P_numtype2 T_numtype2; | 
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| 229 | typedef _bz_bool   T_promote; | 
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| 230 | typedef T_promote  T_numtype; | 
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| 231 |  | 
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| 232 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 233 | { return x <= y; } | 
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| 234 | }; | 
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| 235 |  | 
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| 236 | template<class P_numtype1, class P_numtype2> | 
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| 237 | class _bz_Equal : public TwoOperandApplicativeTemplatesBase { | 
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| 238 | public: | 
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| 239 | typedef P_numtype1 T_numtype1; | 
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| 240 | typedef P_numtype2 T_numtype2; | 
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| 241 | typedef _bz_bool   T_promote; | 
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| 242 | typedef T_promote  T_numtype; | 
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| 243 |  | 
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| 244 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 245 | { return x == y; } | 
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| 246 | }; | 
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| 247 |  | 
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| 248 | template<class P_numtype1, class P_numtype2> | 
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| 249 | class _bz_NotEqual : public TwoOperandApplicativeTemplatesBase { | 
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| 250 | public: | 
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| 251 | typedef P_numtype1 T_numtype1; | 
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| 252 | typedef P_numtype2 T_numtype2; | 
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| 253 | typedef _bz_bool   T_promote; | 
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| 254 | typedef T_promote  T_numtype; | 
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| 255 |  | 
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| 256 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 257 | { return x != y; } | 
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| 258 | }; | 
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| 259 |  | 
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| 260 | template<class P_numtype1, class P_numtype2> | 
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| 261 | class _bz_LogicalAnd : public TwoOperandApplicativeTemplatesBase { | 
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| 262 | public: | 
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| 263 | typedef P_numtype1 T_numtype1; | 
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| 264 | typedef P_numtype2 T_numtype2; | 
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| 265 | typedef _bz_bool   T_promote; | 
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| 266 | typedef T_promote  T_numtype; | 
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| 267 |  | 
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| 268 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 269 | { return x && y; } | 
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| 270 | }; | 
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| 271 |  | 
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| 272 | template<class P_numtype1, class P_numtype2> | 
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| 273 | class _bz_LogicalOr : public TwoOperandApplicativeTemplatesBase { | 
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| 274 | public: | 
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| 275 | typedef P_numtype1 T_numtype1; | 
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| 276 | typedef P_numtype2 T_numtype2; | 
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| 277 | typedef _bz_bool   T_promote; | 
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| 278 | typedef T_promote  T_numtype; | 
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| 279 |  | 
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| 280 | static inline T_promote apply(P_numtype1 x, P_numtype2 y) | 
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| 281 | { return x || y; } | 
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| 282 | }; | 
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| 283 |  | 
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| 284 | template<class P_numtype_in, class P_numtype_out> | 
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| 285 | class _bz_Cast : public OneOperandApplicativeTemplatesBase { | 
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| 286 | public: | 
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| 287 | typedef P_numtype_in T_numtype1; | 
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| 288 | typedef P_numtype_out T_promote; | 
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| 289 | typedef T_promote     T_numtype; | 
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| 290 |  | 
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| 291 | static inline P_numtype_out apply(P_numtype_in x) | 
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| 292 | { return P_numtype_out(x); } | 
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| 293 | }; | 
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| 294 |  | 
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| 295 | template<class P_numtype> | 
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| 296 | class _bz_LogicalNot : public OneOperandApplicativeTemplatesBase { | 
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| 297 | public: | 
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| 298 | typedef P_numtype     T_numtype1; | 
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| 299 | typedef _bz_bool      T_promote; | 
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| 300 | typedef T_promote     T_numtype; | 
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| 301 |  | 
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| 302 | static inline P_numtype apply(P_numtype x) | 
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| 303 | { return !x; } | 
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| 304 | }; | 
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| 305 |  | 
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| 306 | template<class P_numtype> | 
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| 307 | class _bz_BitwiseNot : public OneOperandApplicativeTemplatesBase { | 
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| 308 | public: | 
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| 309 | typedef P_numtype     T_numtype1; | 
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| 310 | typedef T_numtype1    T_promote; | 
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| 311 | typedef T_promote     T_numtype; | 
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| 312 |  | 
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| 313 | static inline P_numtype apply(P_numtype x) | 
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| 314 | { return ~x; } | 
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| 315 | }; | 
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| 316 |  | 
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| 317 | /***************************************************************************** | 
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| 318 | * Math Functions | 
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| 319 | *****************************************************************************/ | 
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| 320 |  | 
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| 321 | // Applicative templates for these functions are defined in | 
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| 322 | // <blitz/mathfunc.h>, which is included below: | 
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| 323 | // | 
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| 324 | // abs(i), labs(l)                     Absolute value | 
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| 325 | // acos(d), acols(ld)                  Inverse cosine | 
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| 326 | // acosh(d)                            Inverse hyperbolic cosine | 
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| 327 | // asin(d), asinl(ld)                  Inverse sine | 
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| 328 | // asinh(d)                            Inverse hyperbolic sine | 
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| 329 | // atan(d), atanl(ld)                  Inverse tangent | 
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| 330 | // atan2(d,d), atan2l(ld,ld)           Inverse tangent | 
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| 331 | // atanh(d)                            Inverse hyperbolic tangent | 
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| 332 | // cbrt(x)                             Cube root | 
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| 333 | // ceil(d), ceill(ld)                  Smallest f-int not less than x | 
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| 334 | // int class(d)                        Classification of x (FP_XXXXX) | 
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| 335 | // cos(d), cosl(ld)                    Cosine | 
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| 336 | // cosh(d), coshl(ld)                  Hyperbolic cosine | 
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| 337 | // copysign(d,d)                       Return 1st arg with same sign as 2nd | 
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| 338 | // drem(x,x)                           IEEE remainder | 
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| 339 | // exp(d), expl(ld)                    Exponential | 
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| 340 | // expm1(d)                            Exp(x)-1 | 
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| 341 | // erf(d), erfl(ld)                    Error function | 
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| 342 | // erfc(d), erfcl(ld)                  Complementary error function | 
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| 343 | // fabs(d), fabsl(ld)                  Floating point absolute value | 
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| 344 | // int finite(d)                       Nonzero if finite | 
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| 345 | // floor(d), floor(ld)                 Largest f-int not greater than x | 
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| 346 | // fmod(d,d), fmodl(ld,ld)             Floating point remainder | 
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| 347 | // frexp(d, int* e)                    Break into mantissa/exponent  (*) | 
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| 348 | // frexpl(ld, int* e)                  Break into mantissa/exponent  (*) | 
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| 349 | // gammaFunc(d)                        Gamma function (** needs special | 
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| 350 | //                                     implementation using lgamma) | 
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| 351 | // hypot(d,d)                          Hypotenuse: sqrt(x*x+y*y) | 
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| 352 | // int ilogb(d)                        Integer unbiased exponent | 
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| 353 | // int isnan(d)                        Nonzero if NaNS or NaNQ | 
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| 354 | // int itrunc(d)                       Truncate and convert to integer | 
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| 355 | // j0(d)                               Bessel function first kind, order 0 | 
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| 356 | // j1(d)                               Bessel function first kind, order 1 | 
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| 357 | // jn(int, double)                     Bessel function first kind, order i | 
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| 358 | // ldexp(d,i), ldexpl(ld,i)            Compute d * 2^i | 
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| 359 | // lgamma(d), lgammald(ld)             Log absolute gamma | 
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| 360 | // log(d), logl(ld)                    Natural logarithm | 
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| 361 | // logb(d)                             Unbiased exponent (IEEE) | 
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| 362 | // log1p(d)                            Compute log(1 + x) | 
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| 363 | // log10(d), log10l(ld)                Logarithm base 10 | 
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| 364 | // modf(d, int* i), modfl(ld, int* i)  Break into integral/fractional part | 
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| 365 | // double nearest(double)              Nearest floating point integer | 
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| 366 | // nextafter(d, d)                     Next representable neighbor of 1st | 
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| 367 | //                                     in direction of 2nd | 
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| 368 | // pow(d,d), pow(ld,ld)                Computes x ^ y | 
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| 369 | // d remainder(d,d)                    IEEE remainder | 
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| 370 | // d rint(d)                           Round to f-integer (depends on mode) | 
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| 371 | // d rsqrt(d)                          Reciprocal square root | 
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| 372 | // d scalb(d,d)                        Return x * (2^y) | 
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| 373 | // sin(d), sinl(ld)                    Sine | 
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| 374 | // sinh(d), sinhl(ld)                  Hyperbolic sine | 
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| 375 | // sqr(x)                              Return x * x | 
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| 376 | // sqrt(d), sqrtl(ld)                  Square root | 
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| 377 | // tan(d), tanl(ld)                    Tangent | 
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| 378 | // tanh(d), tanhl(ld)                  Hyperbolic tangent | 
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| 379 | // trunc(d)                            Nearest f-int in the direction of 0 | 
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| 380 | // unsigned uitrunc(d)                 Truncate and convert to unsigned | 
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| 381 | // int unordered(d,d)                  Nonzero if comparison is unordered | 
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| 382 | // y0(d)                               Bessel function 2nd kind, order 0 | 
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| 383 | // y1(d)                               Bessel function 2nd kind, order 1 | 
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| 384 | // yn(i,d)                             Bessel function 2nd kind, order d | 
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| 385 |  | 
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| 386 |  | 
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| 387 | BZ_NAMESPACE_END | 
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| 388 |  | 
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| 389 | #ifndef BZ_MATHFUNC_H | 
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| 390 | #include <blitz/mathfunc.h> | 
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| 391 | #endif | 
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| 392 |  | 
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| 393 | #ifndef BZ_MATHF2_H | 
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| 394 | #include <blitz/mathf2.h> | 
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| 395 | #endif | 
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| 396 |  | 
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| 397 | #endif // BZ_APPLICS_H | 
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