ceph/src/boost/libs/multiprecision/example/random_snips.cpp

   1 ///////////////////////////////////////////////////////////////
   2 //  Copyright 2011 John Maddock. Distributed under the Boost
   3 //  Software License, Version 1.0. (See accompanying file
   4 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_
   5
   6 #include <boost/multiprecision/cpp_int.hpp>
   7 #include <boost/multiprecision/cpp_bin_float.hpp>
   8 #include <boost/random.hpp>
   9 #include <boost/scoped_ptr.hpp>
  10 #include <iostream>
  11 #include <iomanip>
  12
  13 void t1()
  14 {
  15 //[random_eg1
  16 //=#include <boost/multiprecision/cpp_int.hpp>
  17 //=#include <boost/random.hpp>
  18 //=
  19 //=int main()
  20 //={
  21    using namespace boost::multiprecision;
  22    using namespace boost::random;
  23
  24    //
  25    // Declare our random number generator type, the underlying generator
  26    // is the Mersenne twister mt19937 engine, and we'll generate 256 bit
  27    // random values, independent_bits_engine will make multiple calls
  28    // to the underlying engine until we have the requested number of bits:
  29    //
  30    typedef independent_bits_engine<mt19937, 256, cpp_int> generator_type;
  31    generator_type gen;
  32    //
  33    // Generate some values:
  34    //
  35    std::cout << std::hex << std::showbase;
  36    for(unsigned i = 0; i < 10; ++i)
  37       std::cout << gen() << std::endl;
  38    //
  39    // Alternatively if we wish to generate random values in a fixed-precision
  40    // type, then we must use an unsigned type in order to adhere to the
  41    // conceptual requirements of the generator:
  42    //
  43    typedef independent_bits_engine<mt19937, 512, uint512_t> generator512_type;
  44    generator512_type gen512;
  45    //
  46    // Generate some 1024-bit unsigned values:
  47    //
  48    std::cout << std::hex << std::showbase;
  49    for(unsigned i = 0; i < 10; ++i)
  50       std::cout << gen512() << std::endl;
  51    //=   return 0;
  52 //=}
  53 //]
  54 }
  55
  56 //
  57 // Output from t1() is:
  58 //[random_eg1_out
  59 /*`[pre
  60 0xD091BB5C22AE9EF6E7E1FAEED5C31F792082352CF807B7DFE9D300053895AFE1
  61 0xA1E24BBA4EE4092B18F868638C16A625474BA8C43039CD1A8C006D5FFE2D7810
  62 0xF51F2AE7FF1816E4F702EF59F7BADAFA285954A1B9D09511F878C4B3FB2A0137
  63 0xF508E4AA1C1FE6527C419418CC50AA59CCDF2E5C4C0A1F3B2452A9DC01397D8D
  64 0x6BF88C311CCA797AEA6DA4AEA3C78807CACE1969E0E0D4ADF5A14BAB80F00988
  65 0xA7DE9F4CCC450CBA0924668F5C7DC380D96089C53640AC4CEF1A2E6DAE6D9426
  66 0xADC1965B6613BA46C1FB41C2BD9B0ECDBE3DEDFC7989C8EE6468FD6E6C0DF032
  67 0xA7CD66342C826D8B2BD2E4124D4A2DBEB4BF6FA7CC1A89590826328251097330
  68 0x46E46CB0DF577EC20BD1E364262C556418DDA0C9FE7B45D9D2CE21C9D268409A
  69 0xB1E049E1200BFA47512D6E73C3851EEEF341C0817D973E4808D17554A9E20D28
  70 0xD091BB5C22AE9EF6E7E1FAEED5C31F792082352CF807B7DFE9D300053895AFE1A1E24BBA4EE4092B18F868638C16A625474BA8C43039CD1A8C006D5FFE2D7810
  71 0xF51F2AE7FF1816E4F702EF59F7BADAFA285954A1B9D09511F878C4B3FB2A0137F508E4AA1C1FE6527C419418CC50AA59CCDF2E5C4C0A1F3B2452A9DC01397D8D
  72 0x6BF88C311CCA797AEA6DA4AEA3C78807CACE1969E0E0D4ADF5A14BAB80F00988A7DE9F4CCC450CBA0924668F5C7DC380D96089C53640AC4CEF1A2E6DAE6D9426
  73 0xADC1965B6613BA46C1FB41C2BD9B0ECDBE3DEDFC7989C8EE6468FD6E6C0DF032A7CD66342C826D8B2BD2E4124D4A2DBEB4BF6FA7CC1A89590826328251097330
  74 0x46E46CB0DF577EC20BD1E364262C556418DDA0C9FE7B45D9D2CE21C9D268409AB1E049E1200BFA47512D6E73C3851EEEF341C0817D973E4808D17554A9E20D28
  75 0x70518CE6203AC30361ADD0AB35D0430CC3F8E8920D1C8509CB92388E095436BF2FD6E20868A29AF97D61330B753EC6FC7211EFEA7CD15133A574C4FFCB41F198
  76 0xB598EEF6EBBE7347C1332568CEBA5A7046A99459B4AD9F11AE00FEAA00B8B573A7B480B6B5F0B06C29A0EC27A4DAA0101E76A1C574BE91337F94C950C61F6ED6
  77 0xF5B1C7A192E195F8572384D4E0732C8895D41B68CEE496C3394BBD52048CD47CC05309BED23D2D63414DE9C5D2229F23818666A3F0A8B109B2F6B12769A48341
  78 0xE4123C566C548C8FF5941F6194B993AA8C1651342876763C237CE42EC300D11B263821CA3AEB820241EC0F84CF4AC36DD7393EE6FD0FC06A4118A30A551B54A4
  79 0xD074F86F4CC1C54A3E57A70303774CDAEDE43895379CE62759988939E8490DDC325410E1D9352F6A4047080AF47C081D9DB51A85C765D71F79297527FCCA2773
  80 ]
  81 */
  82 //]
  83
  84
  85 void t2()
  86 {
  87    std::cout << std::dec;
  88 //[random_eg2
  89 //=#include <boost/multiprecision/cpp_int.hpp>
  90 //=#include <boost/random.hpp>
  91 //=
  92 //=int main()
  93 //={
  94    using namespace boost::multiprecision;
  95    using namespace boost::random;
  96
  97    //
  98    // Generate integers in a given range using uniform_int,
  99    // the underlying generator is invoked multiple times
 100    // to generate enough bits:
 101    //
 102    mt19937 mt;
 103    uniform_int_distribution<cpp_int> ui(-(cpp_int(1) << 256), cpp_int(1) << 256);
 104    //
 105    // Generate the numbers:
 106    //
 107    for(unsigned i = 0; i < 10; ++i)
 108       std::cout << ui(mt) << std::endl;
 109
 110 //=   return 0;
 111 //=}
 112 //]
 113 }
 114 //[random_eg2_out
 115 /*`
 116 Program output is
 117
 118 [pre
 119 25593993629538149833210527544371584707508847463356155903670894544241785158492
 120 12721121657520147247744796431842326146296294180809160027132416389225539366745
 121 106034929479008809862776424170460808190085984129117168803272987114325199071833
 122 86048861429530654936263414134573980939351899046345384016090167510299251354700
 123 -23473382144925885755951447143660880642389842563343761080591177733698450031250
 124 76840269649240973945508128641415259490679375154523618053296924666747244530145
 125 21638369166612496703991271955994563624044383325105383029306009417224944272131
 126 18829152205014764576551421737727569993966577957447887116062495161081023584880
 127 101521572847669971701030312596819435590097618913255156117898217707115132658117
 128 -97490271301923067621481012355971422109456300816856752380346627103308328292057
 129 ]
 130 */
 131 //]
 132
 133 void t3()
 134 {
 135 //[random_eg3
 136 //=#include <boost/multiprecision/cpp_bin_float.hpp>
 137 //=#include <boost/random.hpp>
 138 //=
 139 //=int main()
 140 //={
 141    using namespace boost::multiprecision;
 142    using namespace boost::random;
 143
 144    mt19937 gen;
 145    //
 146    // Generate the values:
 147    //
 148    std::cout << std::setprecision(50);
 149    for(unsigned i = 0; i < 20; ++i)
 150       std::cout << generate_canonical<cpp_bin_float_50, std::numeric_limits<cpp_bin_float_50>::digits>(gen) << std::endl;
 151 //=   return 0;
 152 //=}
 153 //]
 154 }
 155
 156 //[random_eg3_out
 157 /*`
 158 Which produces the following output:
 159
 160 [pre
 161 0.96886777112423135248554451482797431507115448261086
 162 0.54722059636785192454525760726084778627750790023546
 163 0.99646132554800874317788284808573062871409279729804
 164 0.98110969177693891782396443737643892769773768718591
 165 0.29702944955795083040856753579705872634075574515969
 166 0.63976335709815275010379796044374742646738557798647
 167 0.79792861516022605265555700991255998690336456180995
 168 0.68135953856026596523755400091345037778580909233387
 169 0.47475868061723477935404326837783394169122045199915
 170 0.30191312687731969398296589840622989141067852863748
 171 0.87242882006730022427155209451091472382531795659709
 172 0.82190326480741096300318873712966555706035846579562
 173 0.49058903962146072778707295967429263659897501512813
 174 0.2102090745190061764133345429475530760261103345204
 175 0.4087311609617603484960794513055502599728804206333
 176 0.79397497154919267900450180642484943996546102712187
 177 0.70577425166871982574205252142383800792823003687121
 178 0.64396095652194035523385641523010248768636064728226
 179 0.5737546665965914620678634509134819579811035412969
 180 0.017773895576552474810236796736785695789752666554273
 181 ]
 182 */
 183 //]
 184
 185 void t4()
 186 {
 187    std::cout << std::endl;
 188 //[random_eg4
 189 //=#include <boost/multiprecision/cpp_bin_float.hpp>
 190 //=#include <boost/multiprecision/cpp_int.hpp>
 191 //=#include <boost/random.hpp>
 192 //=
 193 //=int main()
 194 //={
 195    using namespace boost::multiprecision;
 196    using namespace boost::random;
 197    //
 198    // Generate some distruted values:
 199    //
 200    uniform_real_distribution<cpp_bin_float_50> ur(-20, 20);
 201    gamma_distribution<cpp_bin_float_50> gd(20);
 202    independent_bits_engine<mt19937, std::numeric_limits<cpp_bin_float_50>::digits, cpp_int> gen;
 203    //
 204    // Generate some values:
 205    //
 206    std::cout << std::setprecision(50);
 207    for(unsigned i = 0; i < 20; ++i)
 208       std::cout << ur(gen) << std::endl;
 209    for(unsigned i = 0; i < 20; ++i)
 210       std::cout << gd(gen) << std::endl;
 211 //=   return 0;
 212 //=}
 213 //]
 214 }
 215
 216 //[random_eg4_out
 217 /*`
 218 Which produces the following output:
 219
 220 [pre
 221 -18.576837157065858312137736538355805944098004018928
 222 4.5605477000094480453928920098152026546185388161216
 223 -1.7611402252150150370944527411235180945558276280598
 224 -2.471338289511354190492328039842914272146783953149
 225 -7.4131520453411321647183692139916357315276121488316
 226 -9.192739117661751364518299455475684051782402347659
 227 7.0126880787149555595443325648941661436898526919013
 228 2.8554749162054097111723076181877881960039268668423
 229 14.390501287552165467965587841551705310012046701036
 230 -8.9747073123748752412086051960748002945548570524149
 231 -8.1305063133718605220959174700954037986278348616362
 232 9.5496899464463627949564295930962040525540578754312
 233 -15.309681742947663333436391348699943078942921692008
 234 2.0454914298189175280771944784358385982869708951824
 235 -10.069253024538932382193363493367304983742246396276
 236 13.449212808583153116670057807764145176004060370818
 237 -6.0065092542772507561228141992257782449634820245355
 238 15.00971466974838379824678369267201922989930663822
 239 16.158514812070905438581736305533045434508525979205
 240 -2.1531361299576399413547008719541457739794964378093
 241 19.398278792113040046930806838893737245011219380822
 242 12.965216582396067073600685365545292876001524716225
 243 19.561779374349650983983836397553672788578622096947
 244 15.982213641588944604037715576313848977716540941271
 245 23.96044616946856385664151481695038833903083043492
 246 21.054716943622792848187523422423642819628010070375
 247 18.596078774135209530930707331338838805575875990091
 248 19.539530839287848627426769425090194390388333335812
 249 17.176133236359396942946640290935498641489373354297
 250 16.228802394876800099035133760539461530246286999827
 251 23.63807160907473465631049083277558060813997674519
 252 12.838499607321990428122225501321564153572478845401
 253 16.878362445712403300584931374939967549572637230102
 254 20.646246409377134464856282996941395597420615529803
 255 16.602429236226052406561338766554127142762673418695
 256 21.680007865714197450495711030406314524681744024329
 257 21.038948660115771777833205901845639760348321521616
 258 30.494499676527802078320016654058105593076348727966
 259 18.704734464995637480940828829962787676146589788572
 260 22.502216997171061548799304902323434654678156658236
 261 ]
 262 */
 263 //]
 264
 265 void t5()
 266 {
 267 //[random_eg5
 268 //=#include <boost/multiprecision/cpp_bin_float.hpp>
 269 //=#include <boost/random.hpp>
 270 //=#include <boost/scoped_ptr.hpp>
 271 //=
 272 //=int main()
 273 //={
 274    using namespace boost::multiprecision;
 275    using namespace boost::random;
 276    //
 277    // Generate some multiprecision values, note that the generator is so large
 278    // that we have to allocate it on the heap, otherwise we may run out of
 279    // stack space!  We could avoid this by using a floating point type which
 280    // allocates it's internal storage on the heap - cpp_bin_float will do
 281    // this with the correct template parameters, as will the GMP or MPFR
 282    // based reals.
 283    //
 284    typedef lagged_fibonacci_01_engine<cpp_bin_float_50, 48, 44497, 21034 > big_fib_gen;
 285    boost::scoped_ptr<big_fib_gen> pgen(new big_fib_gen);
 286    //
 287    // Generate some values:
 288    //
 289    std::cout << std::setprecision(50);
 290    for(unsigned i = 0; i < 20; ++i)
 291       std::cout << (*pgen)() << std::endl;
 292    //
 293    // try again with a ranlux generator, this is not quite so large
 294    // so we can use the heap this time:
 295    //
 296    typedef subtract_with_carry_01_engine<cpp_bin_float_50, std::numeric_limits<cpp_bin_float_50>::digits - 5, 10, 24 > ranlux_big_base_01;
 297    typedef discard_block_engine< ranlux_big_base_01, 389, 24 > big_ranlux;
 298    big_ranlux rg;
 299    for(unsigned i = 0; i < 20; ++i)
 300       std::cout << rg() << std::endl;
 301 //=   return 0;
 302 //=}
 303 //]
 304 }
 305
 306 int main()
 307 {
 308    t1();
 309    t2();
 310    t3();
 311    t4();
 312    t5();
 313    return 0;
 314 }
 315