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Rational Type Performance

Note that these tests are carefully designed to test performance of the underlying algorithms and not memory allocation or variable copying. As usual, performance results should be taken with a healthy dose of scepticism, and real-world performance may vary widely depending upon the specifics of the program. In each table relative times are given first, with the best performer given a score of 1. Total actual times are given in brackets, measured in seconds for 500000 operations.

Table 1.76. Operator *

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cpp_rational

2.00025 (0.797425s)

1.97726 (2.96998s)

1.86844 (6.73224s)

1.96608 (14.4259s)

mpq_rational

1 (0.398662s)

1 (1.50207s)

1 (3.60314s)

1 (7.3374s)


Table 1.77. Operator *(int)

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cpp_rational

1.88073 (0.0637195s)

1.93184 (0.0917847s)

2.15609 (0.118274s)

2.4236 (0.218283s)

mpq_rational

1 (0.0338803s)

1 (0.0475114s)

1 (0.0548556s)

1 (0.0900656s)


Table 1.78. Operator *(unsigned long long)

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cpp_rational

1.60877 (0.161844s)

2.33429 (0.240069s)

1.8835 (0.298935s)

2.70338 (0.448194s)

mpq_rational

1 (0.100601s)

1 (0.102844s)

1 (0.158713s)

1 (0.16579s)


Table 1.79. Operator *(value_type)

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cpp_rational

1.97503 (0.408791s)

2.42069 (0.600225s)

2.65138 (0.803009s)

4.65673 (1.54645s)

mpq_rational

1 (0.20698s)

1 (0.247956s)

1 (0.302865s)

1 (0.332089s)


Table 1.80. Operator *=(unsigned long long)

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cpp_rational

1.97207 (0.211848s)

2.18482 (0.226179s)

2.43682 (0.319695s)

2.69933 (0.485819s)

mpq_rational

1 (0.107424s)

1 (0.103523s)

1 (0.131194s)

1 (0.179978s)


Table 1.81. Operator *=(value_type)

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cpp_rational

1.95211 (0.40255s)

2.60942 (0.629302s)

2.83854 (0.8029s)

4.34054 (1.37083s)

mpq_rational

1 (0.206213s)

1 (0.241165s)

1 (0.282857s)

1 (0.31582s)


Table 1.82. Operator +

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cpp_rational

2.20364 (0.415006s)

1.97574 (1.53458s)

1.75945 (3.41194s)

2.11634 (8.04044s)

mpq_rational

1 (0.188327s)

1 (0.776716s)

1 (1.93921s)

1 (3.79923s)


Table 1.83. Operator +(int)

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cpp_rational

2.06836 (0.0177811s)

1.80334 (0.0183744s)

1.38442 (0.020452s)

1.81894 (0.0449351s)

mpq_rational

1 (0.00859669s)

1 (0.0101891s)

1 (0.014773s)

1 (0.024704s)


Table 1.84. Operator +(unsigned long long)

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cpp_rational

2.07187 (0.0177151s)

2.3005 (0.0241089s)

1.81397 (0.0297836s)

1.72202 (0.046594s)

mpq_rational

1 (0.0085503s)

1 (0.0104799s)

1 (0.016419s)

1 (0.0270577s)


Table 1.85. Operator +(value_type)

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cpp_rational

1.2805 (0.0265647s)

1.59353 (0.0391054s)

1.26613 (0.044067s)

1.95307 (0.105801s)

mpq_rational

1 (0.0207456s)

1 (0.0245401s)

1 (0.0348044s)

1 (0.0541719s)


Table 1.86. Operator +=(unsigned long long)

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cpp_rational

7.29749 (0.0565983s)

3.77253 (0.0371419s)

2.72128 (0.0556987s)

2.01495 (0.0662456s)

mpq_rational

1 (0.00775585s)

1 (0.00984535s)

1 (0.0204678s)

1 (0.032877s)


Table 1.87. Operator +=(value_type)

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cpp_rational

1.92025 (0.0335896s)

2.08321 (0.0422867s)

1.587 (0.0564267s)

1.85357 (0.0840696s)

mpq_rational

1 (0.0174923s)

1 (0.0202988s)

1 (0.0355556s)

1 (0.0453556s)


Table 1.88. Operator -

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cpp_rational

2.38126 (0.471759s)

1.92631 (1.52484s)

1.76181 (3.49648s)

2.03462 (7.71926s)

mpq_rational

1 (0.198113s)

1 (0.791584s)

1 (1.98459s)

1 (3.79396s)


Table 1.89. Operator -(int)

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cpp_rational

2.44447 (0.0292894s)

2.54602 (0.0346718s)

1.4869 (0.035503s)

1.95344 (0.0577029s)

mpq_rational

1 (0.0119819s)

1 (0.013618s)

1 (0.0238773s)

1 (0.0295391s)


Table 1.90. Operator -(unsigned long long)

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cpp_rational

2.93654 (0.0296698s)

4.23087 (0.0496956s)

1.68041 (0.0461985s)

1.4455 (0.0581714s)

mpq_rational

1 (0.0101037s)

1 (0.0117459s)

1 (0.0274924s)

1 (0.040243s)


Table 1.91. Operator -(value_type)

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cpp_rational

1.69242 (0.0408789s)

1.5205 (0.0467416s)

1.31525 (0.0548939s)

2.16115 (0.103471s)

mpq_rational

1 (0.0241541s)

1 (0.030741s)

1 (0.0417365s)

1 (0.0478777s)


Table 1.92. Operator -=(unsigned long long)

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cpp_rational

3.69509 (0.0366534s)

3.7306 (0.0439181s)

1.8352 (0.0491612s)

1.86662 (0.071761s)

mpq_rational

1 (0.00991947s)

1 (0.0117724s)

1 (0.0267879s)

1 (0.0384444s)


Table 1.93. Operator -=(value_type)

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cpp_rational

1.76299 (0.0421283s)

2.03803 (0.0490152s)

1.84864 (0.053198s)

2.10533 (0.0881228s)

mpq_rational

1 (0.023896s)

1 (0.0240502s)

1 (0.0287769s)

1 (0.041857s)


Table 1.94. Operator /

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cpp_rational

2.03433 (2.28881s)

2.24309 (6.34454s)

2.1203 (13.2036s)

2.36142 (29.3236s)

mpq_rational

1 (1.12509s)

1 (2.82848s)

1 (6.22726s)

1 (12.4178s)


Table 1.95. Operator /(int)

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cpp_rational

1 (0.035134s)

1.08556 (0.0774619s)

1.08797 (0.104628s)

1.29134 (0.207067s)

mpq_rational

1.85049 (0.0650149s)

1 (0.0713565s)

1 (0.0961679s)

1 (0.16035s)


Table 1.96. Operator /(unsigned long long)

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cpp_rational

1.31397 (0.170727s)

1.63747 (0.216019s)

1.68581 (0.292536s)

1.76695 (0.435259s)

mpq_rational

1 (0.129932s)

1 (0.131923s)

1 (0.173528s)

1 (0.246334s)


Table 1.97. Operator /(value_type)

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cpp_rational

1.82473 (0.431612s)

2.20261 (0.596248s)

2.45848 (0.809662s)

3.88675 (1.38001s)

mpq_rational

1 (0.236534s)

1 (0.270701s)

1 (0.329335s)

1 (0.355055s)


Table 1.98. Operator /=(unsigned long long)

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cpp_rational

1.58868 (0.216252s)

1.71288 (0.235781s)

1.78218 (0.314161s)

1.98715 (0.460033s)

mpq_rational

1 (0.136121s)

1 (0.137652s)

1 (0.176279s)

1 (0.231505s)


Table 1.99. Operator /=(value_type)

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cpp_rational

1.72896 (0.40369s)

2.55949 (0.689514s)

2.4929 (0.832288s)

3.51238 (1.37478s)

mpq_rational

1 (0.233487s)

1 (0.269395s)

1 (0.333863s)

1 (0.391409s)


Table 1.100. Operator construct

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cpp_rational

1 (0.0135822s)

1 (0.00935293s)

1 (0.0083784s)

1 (0.00962697s)

mpq_rational

1.44264 (0.0195942s)

2.18249 (0.0204126s)

2.64725 (0.0221797s)

2.87767 (0.0277033s)


Table 1.101. Operator construct(unsigned long long)

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cpp_rational

1 (0.00806026s)

1 (0.00960336s)

1 (0.00769898s)

1 (0.0176689s)

mpq_rational

4.87225 (0.0392716s)

5.91987 (0.0568506s)

9.03811 (0.0695842s)

3.68339 (0.0650815s)


Table 1.102. Operator construct(unsigned)

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cpp_rational

1 (0.00672081s)

1 (0.0064826s)

1 (0.00618635s)

1 (0.00923644s)

mpq_rational

6.47138 (0.0434929s)

7.48645 (0.0485316s)

8.2942 (0.0513108s)

5.77363 (0.0533278s)


Table 1.103. Operator str

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cpp_rational

6.17439 (0.00168424s)

7.6748 (0.0033367s)

6.38435 (0.00662873s)

9.07696 (0.0174979s)

mpq_rational

1 (0.000272779s)

1 (0.000434761s)

1 (0.00103828s)

1 (0.00192772s)


Table 1.104. Platform Details

Version

Compiler

GNU C++ version 10.3.0

GMP

6.2.0

MPFR

262146

Boost

107800

Run date

Sep 30 2021



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