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