1 | // -*- C++ -*- |
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2 | /*************************************************************************** |
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3 | * blitz/mathf2.h Declaration of additional math functions |
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4 | * |
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5 | * $Id: mathf2.h,v 1.5 2004/03/09 21:56:48 julianc Exp $ |
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6 | * |
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7 | * Copyright (C) 1997-2001 Todd Veldhuizen <tveldhui@oonumerics.org> |
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8 | * |
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9 | * This program is free software; you can redistribute it and/or |
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10 | * modify it under the terms of the GNU General Public License |
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11 | * as published by the Free Software Foundation; either version 2 |
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12 | * of the License, or (at your option) any later version. |
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13 | * |
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14 | * This program is distributed in the hope that it will be useful, |
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15 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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16 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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17 | * GNU General Public License for more details. |
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18 | * |
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19 | * Suggestions: blitz-dev@oonumerics.org |
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20 | * Bugs: blitz-bugs@oonumerics.org |
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21 | * |
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22 | * For more information, please see the Blitz++ Home Page: |
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23 | * http://oonumerics.org/blitz/ |
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24 | * |
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25 | ***************************************************************************/ |
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26 | |
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27 | #ifndef BZ_MATHF2_H |
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28 | #define BZ_MATHF2_H |
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29 | |
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30 | #ifndef BZ_APPLICS_H |
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31 | #error <blitz/mathf2.h> should be included via <blitz/applics.h> |
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32 | #endif |
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33 | |
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34 | #include <blitz/prettyprint.h> |
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35 | |
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36 | BZ_NAMESPACE(blitz) |
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37 | |
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38 | // cexp(z) Complex exponential |
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39 | template<typename P_numtype1> |
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40 | class _bz_cexp : public OneOperandApplicativeTemplatesBase { |
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41 | public: |
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42 | typedef P_numtype1 T_numtype1; |
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43 | typedef P_numtype1 T_numtype; |
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44 | |
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45 | static inline T_numtype apply(T_numtype1 x) |
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46 | { return _bz_exp<T_numtype1>::apply(x); } |
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47 | |
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48 | template<typename T1> |
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49 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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50 | const T1& a) |
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51 | { |
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52 | str += "cexp("; |
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53 | a.prettyPrint(str,format); |
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54 | str += ")"; |
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55 | } |
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56 | }; |
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57 | |
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58 | // csqrt(z) Complex square root |
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59 | template<typename P_numtype1> |
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60 | class _bz_csqrt : public OneOperandApplicativeTemplatesBase { |
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61 | public: |
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62 | typedef P_numtype1 T_numtype1; |
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63 | typedef P_numtype1 T_numtype; |
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64 | |
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65 | static inline T_numtype apply(T_numtype1 x) |
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66 | { return _bz_sqrt<T_numtype1>::apply(x); } |
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67 | |
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68 | template<typename T1> |
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69 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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70 | const T1& a) |
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71 | { |
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72 | str += "csqrt("; |
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73 | a.prettyPrint(str,format); |
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74 | str += ")"; |
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75 | } |
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76 | }; |
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77 | |
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78 | // pow2 Square |
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79 | template<typename P_numtype1> |
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80 | class _bz_pow2 : public OneOperandApplicativeTemplatesBase { |
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81 | public: |
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82 | typedef P_numtype1 T_numtype1; |
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83 | typedef P_numtype1 T_numtype; |
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84 | |
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85 | static inline T_numtype apply(T_numtype1 x) |
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86 | { |
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87 | return BZ_NO_PROPAGATE(x) * BZ_NO_PROPAGATE(x); |
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88 | } |
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89 | |
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90 | template<typename T1> |
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91 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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92 | const T1& a) |
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93 | { |
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94 | str += "pow2("; |
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95 | a.prettyPrint(str,format); |
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96 | str += ")"; |
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97 | } |
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98 | }; |
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99 | |
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100 | // pow3 Cube |
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101 | template<typename P_numtype1> |
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102 | class _bz_pow3 : public OneOperandApplicativeTemplatesBase { |
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103 | public: |
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104 | typedef P_numtype1 T_numtype1; |
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105 | typedef P_numtype1 T_numtype; |
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106 | |
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107 | static inline T_numtype apply(T_numtype1 x) |
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108 | { |
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109 | return BZ_NO_PROPAGATE(x) * BZ_NO_PROPAGATE(x) * |
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110 | BZ_NO_PROPAGATE(x); |
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111 | } |
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112 | |
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113 | template<typename T1> |
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114 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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115 | const T1& a) |
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116 | { |
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117 | str += "pow3("; |
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118 | a.prettyPrint(str,format); |
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119 | str += ")"; |
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120 | } |
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121 | }; |
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122 | |
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123 | // pow4 Fourth power |
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124 | template<typename P_numtype1> |
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125 | class _bz_pow4 : public OneOperandApplicativeTemplatesBase { |
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126 | public: |
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127 | typedef P_numtype1 T_numtype1; |
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128 | typedef P_numtype1 T_numtype; |
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129 | |
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130 | static inline T_numtype apply(T_numtype1 x) |
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131 | { |
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132 | T_numtype t1 = BZ_NO_PROPAGATE(x) * BZ_NO_PROPAGATE(x); |
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133 | return BZ_NO_PROPAGATE(t1) * BZ_NO_PROPAGATE(t1); |
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134 | } |
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135 | |
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136 | template<typename T1> |
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137 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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138 | const T1& a) |
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139 | { |
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140 | str += "pow4("; |
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141 | a.prettyPrint(str,format); |
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142 | str += ")"; |
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143 | } |
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144 | }; |
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145 | |
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146 | // pow5 Fifth power |
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147 | template<typename P_numtype1> |
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148 | class _bz_pow5 : public OneOperandApplicativeTemplatesBase { |
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149 | public: |
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150 | typedef P_numtype1 T_numtype1; |
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151 | typedef P_numtype1 T_numtype; |
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152 | |
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153 | static inline T_numtype apply(T_numtype1 x) |
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154 | { |
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155 | T_numtype t1 = BZ_NO_PROPAGATE(x) * BZ_NO_PROPAGATE(x); |
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156 | return BZ_NO_PROPAGATE(t1) * BZ_NO_PROPAGATE(t1) |
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157 | * BZ_NO_PROPAGATE(t1); |
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158 | } |
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159 | |
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160 | template<typename T1> |
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161 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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162 | const T1& a) |
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163 | { |
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164 | str += "pow5("; |
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165 | a.prettyPrint(str,format); |
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166 | str += ")"; |
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167 | } |
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168 | }; |
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169 | |
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170 | // pow6 Sixth power |
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171 | template<typename P_numtype1> |
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172 | class _bz_pow6 : public OneOperandApplicativeTemplatesBase { |
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173 | public: |
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174 | typedef P_numtype1 T_numtype1; |
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175 | typedef P_numtype1 T_numtype; |
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176 | |
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177 | static inline T_numtype apply(T_numtype1 x) |
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178 | { |
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179 | T_numtype t1 = BZ_NO_PROPAGATE(x) * BZ_NO_PROPAGATE(x) |
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180 | * BZ_NO_PROPAGATE(x); |
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181 | return BZ_NO_PROPAGATE(t1) * BZ_NO_PROPAGATE(t1); |
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182 | } |
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183 | |
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184 | template<typename T1> |
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185 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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186 | const T1& a) |
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187 | { |
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188 | str += "pow6("; |
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189 | a.prettyPrint(str,format); |
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190 | str += ")"; |
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191 | } |
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192 | }; |
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193 | |
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194 | |
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195 | // pow7 Seventh power |
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196 | template<typename P_numtype1> |
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197 | class _bz_pow7 : public OneOperandApplicativeTemplatesBase { |
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198 | public: |
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199 | typedef P_numtype1 T_numtype1; |
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200 | typedef P_numtype1 T_numtype; |
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201 | |
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202 | static inline T_numtype apply(T_numtype1 x) |
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203 | { |
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204 | T_numtype t1 = BZ_NO_PROPAGATE(x) * BZ_NO_PROPAGATE(x) |
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205 | * BZ_NO_PROPAGATE(x); |
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206 | return BZ_NO_PROPAGATE(t1) * BZ_NO_PROPAGATE(t1) |
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207 | * BZ_NO_PROPAGATE(x); |
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208 | } |
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209 | |
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210 | template<typename T1> |
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211 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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212 | const T1& a) |
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213 | { |
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214 | str += "pow7("; |
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215 | a.prettyPrint(str,format); |
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216 | str += ")"; |
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217 | } |
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218 | }; |
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219 | |
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220 | // pow8 Eighth power |
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221 | template<typename P_numtype1> |
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222 | class _bz_pow8 : public OneOperandApplicativeTemplatesBase { |
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223 | public: |
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224 | typedef P_numtype1 T_numtype1; |
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225 | typedef P_numtype1 T_numtype; |
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226 | |
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227 | static inline T_numtype apply(T_numtype1 x) |
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228 | { |
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229 | T_numtype t1 = BZ_NO_PROPAGATE(x) * BZ_NO_PROPAGATE(x); |
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230 | T_numtype t2 = BZ_NO_PROPAGATE(t1) * BZ_NO_PROPAGATE(t1); |
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231 | return BZ_NO_PROPAGATE(t2) * BZ_NO_PROPAGATE(t2); |
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232 | } |
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233 | |
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234 | template<typename T1> |
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235 | static void prettyPrint(BZ_STD_SCOPE(string) &str, prettyPrintFormat& format, |
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236 | const T1& a) |
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237 | { |
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238 | str += "pow8("; |
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239 | a.prettyPrint(str,format); |
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240 | str += ")"; |
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241 | } |
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242 | }; |
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243 | |
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244 | /* |
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245 | * These scalar versions of pow2, pow3, ..., pow8 are provided for |
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246 | * convenience. |
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247 | * |
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248 | * NEEDS_WORK -- include BZ_NO_PROPAGATE for these scalar versions. |
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249 | */ |
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250 | |
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251 | // NEEDS_WORK -- make these templates. Rely on specialization to |
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252 | // handle expression template versions. |
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253 | |
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254 | #define BZ_DECLARE_POW(T) \ |
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255 | inline T pow2(T x) { return x*x; } \ |
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256 | inline T pow3(T x) { return x*x*x; } \ |
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257 | inline T pow4(T x) { T t1 = x*x; return t1*t1; } \ |
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258 | inline T pow5(T x) { T t1 = x*x; return t1*t1*x; } \ |
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259 | inline T pow6(T x) { T t1 = x*x*x; return t1*t1; } \ |
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260 | inline T pow7(T x) { T t1 = x*x; return t1*t1*t1*x; } \ |
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261 | inline T pow8(T x) { T t1 = x*x, t2=t1*t1; return t2*t2; } |
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262 | |
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263 | BZ_DECLARE_POW(int) |
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264 | BZ_DECLARE_POW(float) |
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265 | BZ_DECLARE_POW(double) |
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266 | BZ_DECLARE_POW(long double) |
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267 | |
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268 | #ifdef BZ_HAVE_COMPLEX |
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269 | BZ_DECLARE_POW(complex<float>) |
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270 | BZ_DECLARE_POW(complex<double>) |
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271 | BZ_DECLARE_POW(complex<long double>) |
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272 | #endif |
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273 | |
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274 | BZ_NAMESPACE_END |
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275 | |
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276 | #endif |
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