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Float Algorithm 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 1.18. Operator *

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cpp_bin_float

4.30817 (0.0408401s)

1.75015 (0.0653409s)

2.16485 (0.597984s)

cpp_dec_float

3.35696 (0.031823s)

1.77364 (0.0662176s)

1.74752 (0.482708s)

gmp_float

2.01455 (0.0190973s)

1 (0.0373344s)

1 (0.276224s)

mpfr_float

1 (0.00947969s)

1.21316 (0.0452924s)

2.13364 (0.589363s)


Table 1.19. Operator *(int)

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cpp_bin_float

2.98031 (0.0223518s)

4.27803 (0.0313689s)

4.54817 (0.0632425s)

cpp_dec_float

4.25141 (0.0318849s)

7.59768 (0.0557104s)

33.1653 (0.461166s)

gmp_float

1 (0.00749984s)

1 (0.00733255s)

1 (0.0139051s)

mpfr_float

2.98089 (0.0223562s)

3.32286 (0.0243651s)

3.7808 (0.0525722s)


Table 1.20. Operator *(unsigned long long)

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cpp_bin_float

3.38766 (0.0235916s)

5.87158 (0.0423397s)

5.05723 (0.0709145s)

cpp_dec_float

5.0049 (0.0348541s)

8.47648 (0.0611235s)

32.4907 (0.455598s)

gmp_float

1 (0.00696399s)

1 (0.00721095s)

1 (0.0140224s)

mpfr_float

3.03806 (0.0211571s)

3.50941 (0.0253062s)

3.44633 (0.0483258s)


Table 1.21. Operator *=(unsigned long long)

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cpp_bin_float

1.56351 (0.0230891s)

2.0073 (0.031993s)

3.62925 (0.0772075s)

cpp_dec_float

2.55656 (0.0377542s)

4.10056 (0.0653562s)

21.6642 (0.460876s)

gmp_float

1 (0.0147675s)

1 (0.0159383s)

1 (0.0212737s)

mpfr_float

2.23026 (0.0329355s)

2.40387 (0.0383137s)

2.64077 (0.0561789s)


Table 1.22. Operator +

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cpp_bin_float

3.91168 (0.0381834s)

4.16297 (0.0642049s)

4.90051 (0.102092s)

cpp_dec_float

2.23696 (0.0218359s)

1.69854 (0.0261964s)

6.06882 (0.126431s)

gmp_float

1.50164 (0.0146581s)

1 (0.0154229s)

1 (0.0208329s)

mpfr_float

1 (0.0097614s)

1.21982 (0.0188131s)

1.81579 (0.0378282s)


Table 1.23. Operator +(int)

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cpp_bin_float

5.27328 (0.0381889s)

6.85509 (0.0518618s)

10.4988 (0.104875s)

cpp_dec_float

3.50749 (0.0254011s)

4.07503 (0.0308294s)

12.8481 (0.128342s)

gmp_float

1 (0.00724196s)

1 (0.00756543s)

1 (0.00998923s)

mpfr_float

4.51538 (0.0327002s)

4.54647 (0.034396s)

5.25239 (0.0524673s)


Table 1.24. Operator +(unsigned long long)

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cpp_bin_float

5.93334 (0.044578s)

9.73575 (0.0758362s)

11.0837 (0.112203s)

cpp_dec_float

3.99501 (0.030015s)

4.07581 (0.0317483s)

9.33811 (0.0945316s)

gmp_float

1 (0.00751313s)

1 (0.00778945s)

1 (0.0101232s)

mpfr_float

4.28797 (0.0322161s)

4.83393 (0.0376537s)

5.2035 (0.052676s)


Table 1.25. Operator +=(unsigned long long)

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cpp_bin_float

2.97171 (0.045722s)

3.78495 (0.0640784s)

5.16221 (0.117755s)

cpp_dec_float

1.93543 (0.0297781s)

3.12436 (0.0528949s)

4.83179 (0.110218s)

gmp_float

1 (0.0153858s)

1 (0.0169298s)

1 (0.022811s)

mpfr_float

3.42442 (0.0526874s)

3.32428 (0.0562794s)

3.25356 (0.0742172s)


Table 1.26. Operator -

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cpp_bin_float

4.15367 (0.0409089s)

2.64914 (0.0485095s)

4.23345 (0.103383s)

cpp_dec_float

2.29639 (0.0226168s)

1.72571 (0.0316003s)

8.13523 (0.198666s)

gmp_float

1.77498 (0.0174816s)

1 (0.0183114s)

1 (0.0244205s)

mpfr_float

1 (0.00984886s)

1.02493 (0.0187679s)

1.56348 (0.0381809s)


Table 1.27. Operator -(int)

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cpp_bin_float

2.32581 (0.0423205s)

2.99906 (0.0550403s)

4.83118 (0.105425s)

cpp_dec_float

1.90239 (0.0346161s)

2.19948 (0.0403659s)

5.37782 (0.117354s)

gmp_float

1 (0.0181961s)

1 (0.0183525s)

1 (0.0218218s)

mpfr_float

2.30468 (0.041936s)

2.36758 (0.043451s)

2.94644 (0.0642965s)


Table 1.28. Operator -(unsigned long long)

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cpp_bin_float

3.256 (0.057902s)

4.0869 (0.075218s)

5.533 (0.116255s)

cpp_dec_float

2.20586 (0.0392273s)

1.80053 (0.0331383s)

4.29622 (0.0902684s)

gmp_float

1 (0.0177832s)

1 (0.0184047s)

1 (0.0210111s)

mpfr_float

2.51778 (0.0447741s)

2.70809 (0.0498416s)

3.44152 (0.0723102s)


Table 1.29. Operator -=(unsigned long long)

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cpp_bin_float

1.95294 (0.0470344s)

2.41267 (0.0618181s)

4.10529 (0.124911s)

cpp_dec_float

1.22584 (0.029523s)

1.42773 (0.0365817s)

3.11172 (0.0946795s)

gmp_float

1 (0.0240839s)

1 (0.0256223s)

1 (0.0304267s)

mpfr_float

2.41227 (0.0580968s)

2.55229 (0.0653955s)

2.75369 (0.0837856s)


Table 1.30. Operator /

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cpp_bin_float

4.03031 (0.472005s)

7.46615 (1.06338s)

13.3123 (5.3577s)

cpp_dec_float

4.96983 (0.582036s)

7.16767 (1.02087s)

14.7936 (5.95388s)

gmp_float

1 (0.117114s)

1 (0.142427s)

1 (0.402463s)

mpfr_float

1.70874 (0.200117s)

1.79749 (0.256012s)

3.50914 (1.4123s)


Table 1.31. Operator /(int)

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cpp_bin_float

4.81369 (0.0938506s)

7.27806 (0.162749s)

9.67195 (0.551804s)

cpp_dec_float

15.0254 (0.292944s)

21.5761 (0.482477s)

51.7469 (2.95226s)

gmp_float

1 (0.0194966s)

1 (0.0223617s)

1 (0.0570519s)

mpfr_float

1.38183 (0.0269409s)

1.44879 (0.0323974s)

1.52094 (0.0867728s)


Table 1.32. Operator /(unsigned long long)

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cpp_bin_float

5.35966 (0.101822s)

8.88121 (0.190303s)

12.708 (0.717622s)

cpp_dec_float

14.7735 (0.280663s)

22.4928 (0.481967s)

51.6265 (2.91535s)

gmp_float

1 (0.0189978s)

1 (0.0214276s)

1 (0.0564701s)

mpfr_float

1.41678 (0.0269157s)

1.6855 (0.0361161s)

1.52543 (0.0861411s)


Table 1.33. Operator /=(unsigned long long)

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cpp_bin_float

4.84585 (0.125006s)

6.82926 (0.208589s)

10.3294 (0.662579s)

cpp_dec_float

10.7166 (0.276449s)

16.1194 (0.492342s)

44.3971 (2.84786s)

gmp_float

1 (0.0257964s)

1 (0.0305434s)

1 (0.0641451s)

mpfr_float

1.50909 (0.0389292s)

1.49032 (0.0455194s)

1.70466 (0.109346s)


Table 1.34. Operator construct

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cpp_bin_float

1 (0.00303111s)

1 (0.00357506s)

1 (0.0113051s)

cpp_dec_float

1.00185 (0.00303671s)

1.15155 (0.00411687s)

1.26796 (0.0143345s)

gmp_float

16.5683 (0.0502204s)

14.0851 (0.0503551s)

9.67268 (0.109351s)

mpfr_float

28.144 (0.0853075s)

24.8244 (0.0887486s)

10.3544 (0.117058s)


Table 1.35. Operator construct(unsigned long long)

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cpp_bin_float

1 (0.00524853s)

1 (0.00566609s)

1 (0.0278919s)

cpp_dec_float

2.97185 (0.0155978s)

1.49757 (0.00848537s)

1.03141 (0.0287679s)

gmp_float

10.4626 (0.0549133s)

9.63997 (0.054621s)

3.98862 (0.11125s)

mpfr_float

20.7883 (0.109108s)

20.2715 (0.11486s)

5.17847 (0.144437s)


Table 1.36. Operator construct(unsigned)

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cpp_bin_float

1 (0.00519769s)

1 (0.0054342s)

1 (0.0275892s)

cpp_dec_float

1.67001 (0.0086802s)

1.5305 (0.00831702s)

1.05641 (0.0291456s)

gmp_float

10.6639 (0.0554274s)

10.2395 (0.0556435s)

4.03533 (0.111332s)

mpfr_float

25.0325 (0.130111s)

20.8688 (0.113405s)

6.29649 (0.173715s)


Table 1.37. Operator str

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cpp_bin_float

3.98982 (0.00249639s)

5.55423 (0.00505412s)

10.5272 (0.0320983s)

cpp_dec_float

4.83686 (0.00302637s)

4.39789 (0.0040019s)

3.38032 (0.0103068s)

gmp_float

1 (0.000625689s)

1 (0.000909959s)

1 (0.00304907s)

mpfr_float

1.95049 (0.0012204s)

1.61297 (0.00146774s)

1.52133 (0.00463864s)


Table 1.38. Platform Details

Platform

Linux 5.3.0-24-generic, version #26-Ubuntu SMP Thu Nov 14 01:33:18 UTC 2019, x86_64

Compiler

GNU C++ version 9.2.1 20191008

GMP

6.1.2

MPFR

262146

Boost

107200

Run date

Dec 13 2019



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