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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