1 | /* |
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2 | * Complex.java |
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3 | * |
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4 | * Copyright (C) 2003-2006 Peter Graves |
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5 | * $Id: Complex.java 14757 2015-04-11 07:44:42Z mevenson $ |
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6 | * |
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7 | * This program is free software; you can redistribute it and/or |
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8 | * modify it under the terms of the GNU General Public License |
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9 | * as published by the Free Software Foundation; either version 2 |
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10 | * of the License, or (at your option) any later version. |
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11 | * |
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12 | * This program is distributed in the hope that it will be useful, |
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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15 | * GNU General Public License for more details. |
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16 | * |
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17 | * You should have received a copy of the GNU General Public License |
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18 | * along with this program; if not, write to the Free Software |
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19 | * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 | * |
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21 | * As a special exception, the copyright holders of this library give you |
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22 | * permission to link this library with independent modules to produce an |
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23 | * executable, regardless of the license terms of these independent |
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24 | * modules, and to copy and distribute the resulting executable under |
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25 | * terms of your choice, provided that you also meet, for each linked |
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26 | * independent module, the terms and conditions of the license of that |
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27 | * module. An independent module is a module which is not derived from |
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28 | * or based on this library. If you modify this library, you may extend |
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29 | * this exception to your version of the library, but you are not |
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30 | * obligated to do so. If you do not wish to do so, delete this |
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31 | * exception statement from your version. |
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32 | */ |
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33 | |
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34 | package org.armedbear.lisp; |
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35 | |
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36 | import static org.armedbear.lisp.Lisp.*; |
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37 | |
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38 | public final class Complex extends LispObject |
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39 | { |
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40 | public final LispObject realpart; |
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41 | public final LispObject imagpart; |
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42 | |
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43 | private Complex(LispObject realpart, LispObject imagpart) |
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44 | { |
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45 | this.realpart = realpart; |
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46 | this.imagpart = imagpart; |
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47 | } |
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48 | |
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49 | public static LispObject getInstance(LispObject realpart, |
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50 | LispObject imagpart) |
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51 | |
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52 | { |
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53 | if (!realpart.realp()) |
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54 | return type_error(realpart, Symbol.REAL); |
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55 | if (!imagpart.realp()) |
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56 | return type_error(imagpart, Symbol.REAL); |
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57 | if (realpart instanceof DoubleFloat) |
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58 | imagpart = DoubleFloat.coerceToFloat(imagpart); |
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59 | else if (imagpart instanceof DoubleFloat) |
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60 | realpart = DoubleFloat.coerceToFloat(realpart); |
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61 | else if (realpart instanceof SingleFloat) |
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62 | imagpart = SingleFloat.coerceToFloat(imagpart); |
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63 | else if (imagpart instanceof SingleFloat) |
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64 | realpart = SingleFloat.coerceToFloat(realpart); |
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65 | if (imagpart instanceof Fixnum) |
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66 | { |
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67 | if (((Fixnum)imagpart).value == 0) |
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68 | return realpart; |
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69 | } |
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70 | return new Complex(realpart, imagpart); |
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71 | } |
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72 | |
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73 | public LispObject getRealPart() |
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74 | { |
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75 | return realpart; |
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76 | } |
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77 | |
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78 | public LispObject getImaginaryPart() |
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79 | { |
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80 | return imagpart; |
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81 | } |
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82 | |
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83 | /** Coerces the complex parts into DoubleFloats |
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84 | * |
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85 | * @return a new complex with double-float real and imaginary parts |
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86 | */ |
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87 | public LispObject coerceToDoubleFloat() { |
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88 | return getInstance(DoubleFloat.coerceToFloat(realpart), |
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89 | DoubleFloat.coerceToFloat(imagpart)); |
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90 | } |
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91 | |
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92 | @Override |
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93 | public LispObject typeOf() |
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94 | { |
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95 | return Symbol.COMPLEX; |
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96 | } |
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97 | |
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98 | @Override |
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99 | public LispObject classOf() |
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100 | { |
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101 | return BuiltInClass.COMPLEX; |
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102 | } |
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103 | |
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104 | @Override |
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105 | public LispObject typep(LispObject type) |
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106 | { |
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107 | if (type == Symbol.COMPLEX) |
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108 | return T; |
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109 | if (type == Symbol.NUMBER) |
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110 | return T; |
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111 | if (type == BuiltInClass.COMPLEX) |
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112 | return T; |
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113 | if (type == BuiltInClass.NUMBER) |
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114 | return T; |
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115 | return super.typep(type); |
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116 | } |
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117 | |
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118 | @Override |
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119 | public boolean numberp() |
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120 | { |
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121 | return true; |
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122 | } |
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123 | |
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124 | @Override |
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125 | public boolean eql(LispObject obj) |
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126 | { |
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127 | if (this == obj) |
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128 | return true; |
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129 | if (obj instanceof Complex) |
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130 | { |
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131 | Complex c = (Complex) obj; |
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132 | return realpart.eql(c.realpart) && imagpart.eql(c.imagpart); |
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133 | } |
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134 | return false; |
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135 | } |
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136 | |
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137 | @Override |
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138 | public boolean equal(LispObject obj) |
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139 | { |
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140 | return eql(obj); |
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141 | } |
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142 | |
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143 | @Override |
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144 | public boolean equalp(LispObject obj) |
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145 | { |
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146 | if (obj != null && obj.numberp()) |
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147 | return isEqualTo(obj); |
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148 | return false; |
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149 | } |
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150 | |
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151 | @Override |
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152 | public final LispObject incr() |
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153 | { |
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154 | return new Complex(realpart.add(Fixnum.ONE), imagpart); |
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155 | } |
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156 | |
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157 | @Override |
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158 | public final LispObject decr() |
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159 | { |
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160 | return new Complex(realpart.subtract(Fixnum.ONE), imagpart); |
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161 | } |
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162 | |
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163 | @Override |
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164 | public LispObject add(LispObject obj) |
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165 | { |
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166 | if (obj instanceof Complex) |
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167 | { |
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168 | Complex c = (Complex) obj; |
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169 | return getInstance(realpart.add(c.realpart), imagpart.add(c.imagpart)); |
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170 | } |
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171 | return getInstance(realpart.add(obj), imagpart); |
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172 | } |
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173 | |
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174 | @Override |
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175 | public LispObject subtract(LispObject obj) |
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176 | { |
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177 | if (obj instanceof Complex) |
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178 | { |
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179 | Complex c = (Complex) obj; |
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180 | return getInstance(realpart.subtract(c.realpart), |
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181 | imagpart.subtract(c.imagpart)); |
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182 | } |
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183 | return getInstance(realpart.subtract(obj), imagpart); |
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184 | } |
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185 | |
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186 | @Override |
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187 | public LispObject multiplyBy(LispObject obj) |
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188 | { |
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189 | if (obj instanceof Complex) |
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190 | { |
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191 | LispObject a = realpart; |
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192 | LispObject b = imagpart; |
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193 | LispObject c = ((Complex)obj).getRealPart(); |
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194 | LispObject d = ((Complex)obj).getImaginaryPart(); |
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195 | // xy = (ac - bd) + i(ad + bc) |
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196 | // real part = ac - bd |
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197 | // imag part = ad + bc |
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198 | LispObject ac = a.multiplyBy(c); |
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199 | LispObject bd = b.multiplyBy(d); |
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200 | LispObject ad = a.multiplyBy(d); |
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201 | LispObject bc = b.multiplyBy(c); |
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202 | return Complex.getInstance(ac.subtract(bd), ad.add(bc)); |
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203 | } |
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204 | return Complex.getInstance(realpart.multiplyBy(obj), |
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205 | imagpart.multiplyBy(obj)); |
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206 | } |
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207 | |
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208 | @Override |
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209 | public LispObject divideBy(LispObject obj) |
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210 | { |
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211 | if (obj instanceof Complex) |
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212 | { |
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213 | LispObject a = realpart; |
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214 | LispObject b = imagpart; |
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215 | LispObject c = ((Complex)obj).getRealPart(); |
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216 | LispObject d = ((Complex)obj).getImaginaryPart(); |
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217 | LispObject ac = a.multiplyBy(c); |
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218 | LispObject bd = b.multiplyBy(d); |
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219 | LispObject bc = b.multiplyBy(c); |
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220 | LispObject ad = a.multiplyBy(d); |
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221 | LispObject denominator = c.multiplyBy(c).add(d.multiplyBy(d)); |
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222 | return Complex.getInstance(ac.add(bd).divideBy(denominator), |
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223 | bc.subtract(ad).divideBy(denominator)); |
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224 | } |
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225 | return Complex.getInstance(realpart.divideBy(obj), |
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226 | imagpart.divideBy(obj)); |
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227 | } |
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228 | |
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229 | @Override |
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230 | public boolean isEqualTo(LispObject obj) |
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231 | { |
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232 | if (obj instanceof Complex) |
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233 | { |
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234 | Complex c = (Complex) obj; |
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235 | return (realpart.isEqualTo(c.realpart) && |
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236 | imagpart.isEqualTo(c.imagpart)); |
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237 | } |
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238 | if (obj.numberp()) |
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239 | { |
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240 | // obj is a number, but not complex. |
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241 | if (imagpart instanceof SingleFloat) |
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242 | { |
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243 | if (((SingleFloat)imagpart).value == 0) |
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244 | { |
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245 | if (obj instanceof Fixnum) |
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246 | return ((Fixnum)obj).value == ((SingleFloat)realpart).value; |
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247 | if (obj instanceof SingleFloat) |
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248 | return ((SingleFloat)obj).value == ((SingleFloat)realpart).value; |
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249 | if (obj instanceof DoubleFloat) |
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250 | return ((DoubleFloat)obj).value == ((SingleFloat)realpart).value; |
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251 | } |
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252 | } |
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253 | if (imagpart instanceof DoubleFloat) |
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254 | { |
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255 | if (((DoubleFloat)imagpart).value == 0) |
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256 | { |
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257 | if (obj instanceof Fixnum) |
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258 | return ((Fixnum)obj).value == ((DoubleFloat)realpart).value; |
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259 | if (obj instanceof SingleFloat) |
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260 | return ((SingleFloat)obj).value == ((DoubleFloat)realpart).value; |
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261 | if (obj instanceof DoubleFloat) |
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262 | return ((DoubleFloat)obj).value == ((DoubleFloat)realpart).value; |
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263 | } |
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264 | } |
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265 | return false; |
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266 | } |
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267 | type_error(obj, Symbol.NUMBER); |
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268 | // Not reached. |
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269 | return false; |
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270 | } |
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271 | |
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272 | @Override |
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273 | public boolean isNotEqualTo(LispObject obj) |
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274 | { |
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275 | return !isEqualTo(obj); |
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276 | } |
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277 | |
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278 | @Override |
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279 | public LispObject ABS() |
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280 | { |
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281 | if (realpart.zerop()) |
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282 | return imagpart.ABS(); |
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283 | double real = DoubleFloat.coerceToFloat(realpart).value; |
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284 | double imag = DoubleFloat.coerceToFloat(imagpart).value; |
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285 | if (realpart instanceof DoubleFloat) |
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286 | return new DoubleFloat(Math.hypot(real, imag)); |
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287 | else |
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288 | return new SingleFloat((float)Math.hypot(real, imag)); |
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289 | } |
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290 | |
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291 | @Override |
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292 | public boolean zerop() |
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293 | { |
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294 | return realpart.zerop() && imagpart.zerop(); |
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295 | } |
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296 | |
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297 | @Override |
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298 | public LispObject COMPLEXP() |
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299 | { |
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300 | return T; |
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301 | } |
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302 | |
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303 | @Override |
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304 | public int sxhash() |
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305 | { |
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306 | return (mix(realpart.sxhash(), imagpart.sxhash()) & 0x7fffffff); |
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307 | } |
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308 | |
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309 | @Override |
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310 | public int psxhash() |
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311 | { |
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312 | return (mix(realpart.psxhash(), imagpart.psxhash()) & 0x7fffffff); |
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313 | } |
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314 | |
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315 | @Override |
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316 | public String printObject() |
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317 | { |
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318 | StringBuilder sb = new StringBuilder("#C("); |
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319 | sb.append(realpart.printObject()); |
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320 | sb.append(' '); |
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321 | sb.append(imagpart.printObject()); |
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322 | sb.append(')'); |
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323 | return sb.toString(); |
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324 | } |
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325 | } |
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