1 | /* |
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2 | Copyright (C) 2015 |
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3 | Alejandro Mujica (amujica en cenditel.gob.ve) |
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4 | José Angel Contreras (jancontreras en cenditel.gob.ve) |
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5 | Antonio Araujo (aaraujo en cenditel.gob.ve) |
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6 | Pedro Buitrago (pbuitrago en cenditel.gob.ve) |
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7 | |
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8 | CENDITEL Fundación Centro Nacional de Desarrollo e Investigación en |
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9 | Tecnologías Libres |
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10 | |
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11 | Este programa es software libre; Usted puede usarlo bajo los términos de la |
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12 | licencia de software GPL versión 2.0 de la Free Software Foundation. |
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13 | |
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14 | Este programa se distribuye con la esperanza de que sea útil, pero SIN |
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15 | NINGUNA GARANTÍA; tampoco las implícitas garantías de MERCANTILIDAD o |
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16 | ADECUACIÓN A UN PROPÓSITO PARTICULAR. |
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17 | Consulte la licencia GPL para más detalles. Usted debe recibir una copia |
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18 | de la GPL junto con este programa; si no, escriba a la Free Software |
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19 | Foundation Inc. 51 Franklin Street,5 Piso, Boston, MA 02110-1301, USA. |
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20 | */ |
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21 | |
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22 | /* |
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23 | Este archivo contiene la definición e implementación de una plantilla de clase |
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24 | para representar números enteros restringidos a un campo finito. |
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25 | |
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26 | Creado por: Alejandro J. Mujica |
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27 | Fecha de creación: |
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28 | */ |
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29 | |
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30 | |
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31 | # ifndef FIELDNUMBER_H |
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32 | # define FIELDNUMBER_H |
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33 | |
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34 | # include <iostream> |
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35 | |
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36 | /** |
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37 | * Plantilla que representa un número restringido a un campo. |
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38 | * |
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39 | * @tparam FieldT Tipo de campo a utilizar. |
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40 | * |
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41 | * @pre FieldT debe ser base de la plantilla FiniteField. |
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42 | * |
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43 | * @see FiniteField FiniteField2. |
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44 | * |
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45 | * @author Alejandro J. Mujica (amujica en cenditel punto gob punto ve). |
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46 | */ |
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47 | template <class FieldT> |
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48 | class FieldNumber |
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49 | { |
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50 | public: |
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51 | /// Tipo de campo que restringe al número. |
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52 | using FieldType = FieldT; |
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53 | /// Tipo de número restringido. |
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54 | using NumberType = typename FieldType::NumberType; |
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55 | |
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56 | private: |
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57 | FieldType field; |
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58 | |
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59 | NumberType value; |
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60 | |
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61 | public: |
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62 | /// Constructor que funge de paramétrico y por omisión. |
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63 | FieldNumber(const NumberType & _value = NumberType(0)); |
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64 | |
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65 | FieldNumber operator + (const FieldNumber &) const; |
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66 | |
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67 | FieldNumber & operator += (const FieldNumber &); |
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68 | |
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69 | FieldNumber operator - (const FieldNumber &) const; |
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70 | |
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71 | FieldNumber & operator -= (const FieldNumber &); |
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72 | |
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73 | FieldNumber operator * (const FieldNumber &) const; |
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74 | |
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75 | FieldNumber & operator *= (const FieldNumber &); |
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76 | |
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77 | FieldNumber operator / (const FieldNumber &) const; |
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78 | |
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79 | FieldNumber & operator /= (const FieldNumber &); |
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80 | |
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81 | bool operator == (const FieldNumber &) const; |
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82 | |
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83 | bool operator != (const FieldNumber &) const; |
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84 | |
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85 | bool operator < (const FieldNumber &) const; |
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86 | |
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87 | bool operator <= (const FieldNumber &) const; |
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88 | |
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89 | bool operator > (const FieldNumber &) const; |
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90 | |
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91 | bool operator >= (const FieldNumber &) const; |
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92 | |
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93 | bool operator ! () const; |
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94 | |
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95 | friend std::ostream & operator << (std::ostream & out, const FieldNumber & fn) |
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96 | { |
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97 | out << (NumberType) fn.value; |
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98 | return out; |
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99 | } |
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100 | |
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101 | FieldNumber & operator ++ (); |
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102 | |
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103 | FieldNumber & operator -- (); |
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104 | |
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105 | /// Operador de casting para el tipo numérico base. |
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106 | operator NumberType & () |
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107 | { |
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108 | return value; |
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109 | } |
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110 | }; |
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111 | |
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112 | template <class FieldT> |
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113 | FieldNumber<FieldT>::FieldNumber(const NumberType & _value) |
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114 | : field(), value(field(_value)) |
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115 | { |
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116 | // Empty |
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117 | } |
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118 | |
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119 | template <class FieldT> FieldNumber<FieldT> |
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120 | FieldNumber<FieldT>::operator + (const FieldNumber & fn) const |
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121 | { |
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122 | FieldNumber ret; |
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123 | ret.value = field.sum(value, fn.value); |
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124 | return ret; |
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125 | } |
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126 | |
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127 | template <class FieldT> FieldNumber<FieldT> & |
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128 | FieldNumber<FieldT>::operator += (const FieldNumber & fn) |
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129 | { |
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130 | *this = *this + fn; |
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131 | return *this; |
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132 | } |
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133 | |
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134 | template <class FieldT> FieldNumber<FieldT> |
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135 | FieldNumber<FieldT>::operator - (const FieldNumber & fn) const |
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136 | { |
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137 | FieldNumber ret; |
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138 | ret.value = field.sub(value, fn.value); |
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139 | return ret; |
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140 | } |
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141 | |
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142 | template <class FieldT> FieldNumber<FieldT> & |
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143 | FieldNumber<FieldT>::operator -= (const FieldNumber & fn) |
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144 | { |
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145 | *this = *this - fn; |
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146 | return *this; |
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147 | } |
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148 | |
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149 | template <class FieldT> FieldNumber<FieldT> |
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150 | FieldNumber<FieldT>::operator * (const FieldNumber & fn) const |
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151 | |
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152 | { |
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153 | FieldNumber ret; |
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154 | ret.value = field.mul(value, fn.value); |
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155 | return ret; |
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156 | } |
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157 | |
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158 | template <class FieldT> FieldNumber<FieldT> & |
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159 | FieldNumber<FieldT>::operator *= (const FieldNumber & fn) |
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160 | { |
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161 | *this = *this * fn; |
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162 | return *this; |
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163 | } |
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164 | |
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165 | template <class FieldT> FieldNumber<FieldT> |
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166 | FieldNumber<FieldT>::operator / (const FieldNumber & fn) const |
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167 | { |
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168 | FieldNumber ret; |
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169 | ret.value = field.div(value, fn.value); |
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170 | return ret; |
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171 | } |
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172 | |
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173 | template <class FieldT> FieldNumber<FieldT> & |
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174 | FieldNumber<FieldT>::operator /= (const FieldNumber & fn) |
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175 | { |
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176 | *this = *this / fn; |
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177 | return *this; |
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178 | } |
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179 | |
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180 | template <class FieldT> bool |
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181 | FieldNumber<FieldT>::operator == (const FieldNumber & fn) const |
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182 | { |
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183 | return value == fn.value; |
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184 | } |
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185 | |
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186 | template <class FieldT> bool |
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187 | FieldNumber<FieldT>::operator != (const FieldNumber & fn) const |
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188 | { |
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189 | return not (*this == fn); |
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190 | } |
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191 | |
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192 | template <class FieldT> |
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193 | bool FieldNumber<FieldT>::operator < (const FieldNumber & fn) const |
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194 | { |
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195 | return value < fn.value; |
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196 | } |
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197 | |
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198 | template <class FieldT> |
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199 | bool FieldNumber<FieldT>::operator <= (const FieldNumber & fn) const |
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200 | { |
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201 | return value <= fn.value; |
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202 | } |
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203 | |
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204 | template <class FieldT> |
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205 | bool FieldNumber<FieldT>::operator > (const FieldNumber & fn) const |
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206 | { |
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207 | return value > fn.value; |
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208 | } |
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209 | |
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210 | template <class FieldT> |
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211 | bool FieldNumber<FieldT>::operator >= (const FieldNumber & fn) const |
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212 | { |
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213 | return value >= fn.value; |
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214 | } |
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215 | |
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216 | template <class FieldT> |
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217 | bool FieldNumber<FieldT>::operator ! () const |
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218 | { |
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219 | return value == NumberType(0); |
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220 | } |
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221 | |
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222 | template <class FieldT> FieldNumber<FieldT> & |
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223 | FieldNumber<FieldT>::operator ++ () |
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224 | { |
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225 | value = field.sum(value, 1); |
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226 | return *this; |
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227 | } |
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228 | |
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229 | template <class FieldT> FieldNumber<FieldT> & |
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230 | FieldNumber<FieldT>::operator -- () |
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231 | { |
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232 | value = field.sub(value, 1); |
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233 | return *this; |
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234 | } |
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235 | |
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236 | # endif // FIELD_NUMBER_H |
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237 | |
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