Changes between Version 22 and Version 23 of ReplacingGMPNotes


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Timestamp:
Sep 1, 2006 7:50:42 PM (8 years ago)
Author:
guest
Comment:

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  • ReplacingGMPNotes

    v22 v23  
    6666 
    6767The benchmarks below were made with unmodified multi-precision libraries for Integral Arithmetic compiled using Apple gcc 4.0.1 with optimisation settings: -O3 -ftree-vectorize -falign-loops=16.  The tests performed Multiplication, Squaring, Powers (up to 7) and Division each 1,000,000 times at various levels of precision based on the number of bits in the operands.  Multi-precision libraries may use unsigned chars, unsigned ints, unsigned long ints, unsigned long long ints or doubles, so the actual number of "words" in each multi-precision array may differ; for multi-precision real numbers using doubles, integer precision was calculated at 48.3 bits of real precision per double, rounded up to 49.  (49 bits conservatively equates to about 9 decimal digits.)  Libraries tested were: 
    68 [http://crd.lbl.gov/~dhbailey/mpdist/ ARPREC]  
    69 [http://www.openssl.org/ OpenSSL's BN] (part of libcrypto) 
    70 [http://swox.com/gmp/ GMP] 
    71 [http://math.libtomcrypt.com/ LibTomMath] 
    72 [http://www.eskimo.com/~weidai/cryptlib.html Crypto++] a cryptographic library in C++, the Integer class 
    73 [http://botan.randombit.net/ Botan] a cryptographic library in C++,  
    74 [http://www.cs.dartmouth.edu/~sting/mpi/ MPI] (MPI) 
    75 [http://www.tc.umn.edu/~ringx004/mapm-main.html MAPM] (MPI) 
    7668 
    77 Crypto++, Botan, MPI and MAPM showed performance far below ARPREC, OpenSSL's BN, GMP and LibTomMath, so results are only shown for the last four.  Note that there are other libraries available for arbitrary precision arithmetic other than those mention here.   
     69 * [http://crd.lbl.gov/~dhbailey/mpdist/ ARPREC]  
     70 * [http://www.openssl.org/ OpenSSL's BN] (part of libcrypto) 
     71 * [http://swox.com/gmp/ GMP] 
     72 * [http://math.libtomcrypt.com/ LibTomMath] 
     73 * [http://www.eskimo.com/~weidai/cryptlib.html Crypto++] a cryptographic library in C++, the Integer class 
     74 * [http://botan.randombit.net/ Botan] a cryptographic library in C++,  
     75 * [http://www.cs.dartmouth.edu/~sting/mpi/ MPI] (MPI) 
     76 * [http://www.tc.umn.edu/~ringx004/mapm-main.html MAPM] (MPI) 
     77 
     78Crypto++, Botan, MPI and MAPM showed performance far below ARPREC, OpenSSL's BN, GMP and !LibTomMath, so results are only shown for the last four.  Note that there are other libraries available for arbitrary precision arithmetic other than those mentioned or tested here.  Most of those other libraries are licensed under the GPL, while the remainder, such as the [http://www2.hursley.ibm.com/decimal/decnumber.html decNumber] library (licensed under the [http://www-306.ibm.com/software/globalization/icu/license.jsp ICU license] are designed and tuned for operations that would be difficult to translate into Haskell's Integer primitive. 
    7879 
    7980[[Image(Multiplication.gif)]]