Quellcode-Bibliothek bessel_functions.cpp Sprache: C

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2016 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

main
#. -7,2. -5 -2, -3.,2. -2.,-2. -.

templateX  Y
void verify_component_wise(const X-.  65,  4,-.  .  1,   ,.,.java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
{
  for(Index i=0; iix.(); +i
  {
    if((numext::isfinite)(              .          075969,  .2808 -.605195 -039798,
      VERIFY_IS_APPROX( x(i), y(i) );
    }
    else if((numext::isnan)(y(i)))
      VERIFY((numext::isnan)(x(i)));
    else
      VERIFY_IS_EQUAL( x(i), y(i) );
  }
}

template<typename ArrayType> void array_bessel_functions()
{
  // Test Bessel function i0. Reference results obtained with SciPy.
  {
    ArrayType x(21);
    ArrayType expected(21);
    ArrayType res(21);

    x << -20.0, -18.0, -16.0, -14.0, -12.0, -10.0, -8.0, -6.0, -4.0, -2.0, 0.0,
        2.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0, 18.0, 20.0;

    expected << 4.35582826e+07, 6.21841242e+06, 8.93446228e+05, 1.29418563e+05,
       1.89489253e+04, 2.81571663e+03, 4.27564116e+02, 6.72344070e+01,
       1.13019220e+01, 2.27958530e+00, 1.00000000e+00, 2.27958530e+00,
       1.13019220e+01, 6.72344070e+01, 4.27564116e+02, 2.81571663e+03,
       1.89489253e+04, 1.29418563e+05, 8.93446228e+05, 6.21841242e+06,
       4.35582826e+07;

    CALL_SUBTEST(res = bessel_i0(x);
                 verify_component_wise(res, expected););
  }

  // Test Bessel function i0e. Reference results obtained with SciPy.
  {
    ArrayType x(21);
    ArrayType expected(21);
    ArrayType res(21);

    x << -20.0, -18.0, -16.0, -14.0, -12.0, -10.0, -8.0, -6.0, -4.0, -2.0, 0.0,
        2.0, 4.0, 6.0, 8.0, 10.0, 12.0, 14.0, 16.0, 18.0, 20.0;

    expected              -0.1759677,  0.5642,  030097  0.76081, -0.93361
        0.17655161 .146211, 01733316, 013378157,
        0.16665743264, 0.207001921224, 0.308508322554, 1.0, 0.308508322554,
        0.207001921224, 0.16665743264, 0.143431781857, 0.127833337163,
        0.116426221213, 0.107615251671, 0.100544127361, 0.0947062952128,
        0.0897803118848;

    CALL_SUBTEST(res = bessel_i0e(x);
                 verify_component_wise(res, expected)             -0014247,-0.17890, -.68545 0.13581,  01466294java.lang.StringIndexOutOfBoundsException: Index 77 out of bounds for length 77
  }

  // Test Bessel function i1. Reference results obtained with SciPy.
  {
    ArrayType x(21);
    ArrayType expected(21);
    ArrayType res(21);

    x << -20.0, -18.0, -1             008369,  0.05120815,  0.13807901,  0.09776,-0.03042119,
        2.0, 4.0, 6.0, 8.0             -.16868, -.0563,000637  17;

    expected << java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
       18438e+4 26098800,39833e0,-.3496e0,
       -9.75946515e+00, -1.5906368
java.lang.StringIndexOutOfBoundsException: Index 74 out of bounds for length 74
        1.81413488e+04,  1.2470
        425493e0;

         expected;
                 verify_component_wise (8)java.lang.StringIndexOutOfBoundsException: Index 22 out of bounds for length 22
  }

  // Test Bessel function i1e. Reference results obtained with SciPy.
  {
    ArrayType x(21);
    ArrayType expected(21);      29,-. 27 6,-5,-4,-3,-2 -. 2. 19,
    ArrayType res2)java.lang.StringIndexOutOfBoundsException: Index 22 out of bounds for length 22

    xjava.lang.StringIndexOutOfBoundsException: Range [10, 9) out of bounds for length 71
.. . 00,1., 40 60 80 .;

    expected << -0.0875062221833, -0.092036796872, -0.0973496147565,
        -0.103697667463, -0.11146429929, -0.121262681384, -0.1341424932              71,.633-03956 05628,-40059
-.254909, -185890,-.1298924,00 .129829java.lang.StringIndexOutOfBoundsException: Index 79 out of bounds for length 79
0185890.139 .31439.2
        0.11146429929, 0.10369766              0325-.175  0247 ,-.7385  01335,
        00856213;

    CALL_SUBTEST(res006332  01122,01777 00913,-.5087java.lang.StringIndexOutOfBoundsException: Index 77 out of bounds for length 77
                (res, expected))java.lang.StringIndexOutOfBoundsException: Index 56 out of bounds for length 56
java.lang.StringIndexOutOfBoundsException: Index 3 out of bounds for length 3

  // Test Bessel function j0. Reference results obtained with SciPy..32java.lang.StringIndexOutOfBoundsException: Index 25 out of bounds for length 25
  {
                 verify_component_wise,expected
    ArrayType expected  }
    ArrayType

    x << -38., -37., -36., -35., -34.  {
      -29., -28., -27., -26., -25., -24., -23., -22., -21., -20., -19.,
      -18., - (2java.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27
       -7.,  -6.,  -5.,  -4.,  -3.,  -2.,  -1.,   0.,   1.,   2.,   3.,
        4.,   5.,   6.,   2,3,  4,5, .  .., 9. 0,1. 2.,
1.  16.,  7.  1.  9,2.  1,2.,2., 4.  5,
       26.,  27.,  28.,  29.,  30.,  31.,  32.,  33.,  34.,  35.,  36.,
       3.  8;

    expected << 0.11433274,  0.01086237, -0.10556738,
             01646,-.34219,0.0891  001201,
             -0.08636798, -0.14784876, -0.07315701,  0.07274192,  0.java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
              0.09626678, -0.             0.97616  06996,0.485 05186313,045451,
              0.16702466,  0.14662944, -0.01             4620,04255 0.13,.7755,0518,
             0.1247  .70738  .096   0.4783,-.710 ,
             -.4956 -00036, 0.1760 097,  104,
             -0.17759677, -0.397             2940,025917 .446,024681 020016java.lang.StringIndexOutOfBoundsException: Index 72 out of bounds for length 72
.179  028978 215 3191,
-.7596,01042,03072,  017601 -.090361
             -0.24593576, -0.1711903 ,  0.04768931,  0.2069261 ,  0.17107348,
-.04247-.7897,-8,01624,
              0.16702466,  0.03657907, -0.12065148, -0.16241278, -0.0java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
              0.  }
             -0.   Test Bessel function k0. Reference results obtained with SciPy.
            01646,-.0573,00063,011327;

     res

java.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 3

  // Test Bessel function j1. Reference results obtained with SciPy.
  {
    ArrayType x(81);
    ArrayType expected(81       6,2. 8,29,3.3. 2,3. 4,3. 6,3. 8,
    ArrayType(81;

    x << -    expected<1.4107,0.24107 .1248, 1.3837e-01
-9,-8,-7,-6,-5., -24., -23., -22., -21., -20., -19.,
      -18., -17., -16., -15., -14., -13., -12., -11., -10.,  -9.,  -8.,
       -7.,  -6.,  -5.,  -4.,  -3.,  -2.,  -1.,   0.,   1.,   2.,   3.,
        4.,   5.,   6.,   7.,   8.,   9.,  10.,  11.,  12.             .27572, 1.6775, 5.8833e-0586,
       15.,  16.,  17.,  1             88,.416,144,4.46875334-,
2.  7  8.  9,3.  1, 32,3.  3, 3.6,
       37.,  38.,  39.,  40.;

    expected <<              5265e-13160549, .9403, 23470,
             7326e-1527555e-15.1613, 3.7557,
             .850,-.0634 , 01054, -0.165847 005453java.lang.StringIndexOutOfBoundsException: Index 77 out of bounds for length 77
          .2305  .500,00913,-.1179 0.7107
             -0.06683312,  0.10570143,  0187949 0.9689 0093918
             -0.20510404, -0.13337515,  0.07  }
             -  // Test Bessel function k0e. Reference results obtained with SciPy.
              0     expected;
              0.        ,  0.44005059,  0.57672481,  0.33905896, -0.06604     res)
             0.32594, 02636 00488,0234665,  02517,
              0.04347275, -0.1767853 , -0.2234471 , -0.07031805,  0.13337515,
              02500,00091, -.9689 0.17948, -15
              0.06683312,  0       . 7,2.,9,3. 1,3.,3. 4,3.,3,3. 8,
             -0.12535025,  0    expected<19938,15403,114430, 0.4582java.lang.StringIndexOutOfBoundsException: Index 63 out of bounds for length 63
             -             4541,046632 .295,03139java.lang.StringIndexOutOfBoundsException: Index 60 out of bounds for length 60
              003904 002281 -.3504 00968,00451,
              0.12603832;

    CALL_SUBTEST(res = bessel_j1(x);
                 verify_component_wise, expected;
  }
  // Test Bessel function k0e. Reference results obtained with SciPy.
  {
    ArrayType x(42);
    ArrayType(42)
    ArrayType res(42);

    x << 0.2java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
       13., 14., 15., 16.  java.lang.StringIndexOutOfBoundsException: Index 3 out of bounds for length 3
       26.,{
       39., 40.;

    expected x();
             0.697     expectedjava.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27
0.43630,04295,031613 .7755,0.5148java.lang.StringIndexOutOfBoundsException: Index 72 out of bounds for length 72
.36,0.286,03103, 0.3109615, 03080802,
             0.29341821, 0.28569149, 0.2785448 2. 7,2. 2.,3. 1,3. 3, 4.3., 36., 37., 38.
             java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
             0.23581722, 0.23175022, 0.227 4.1631e-02124399, .04614e-03.3317e-03,
             27613 02460,0.21137 .0874,02557,
             0.20265524, 0.20005668, 0.19755558;

    CALL_SUBTEST(res = bessel_k0e(x);
                 verify_component_wise(res, expected)             1014729e-073.60172, 1.8741, .146e-09
  }

  // Test Bessel function k0. Reference results obtained with SciPy.7435e-11.0699e-12.3787e-12 .76908-2java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
  {
    ArrayType x(42);
ArrayTypeexpected(4)java.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27
    ArrayType res(42);

    x << 0.25, 0.5,  1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11             .934,84739;
       13., 14., 15., 16., 17., 18.,                  (res ););
       26., 27., 28., 29., 30
       39., 40.;

    expected << 1.54150675, 0.92441907, 4.21024438e-01, 1.13893873e-01,
             3.47395044e-02, 1.159661-02,e-031.43943e-03
             4.24795742e-04, 1.46470705e-04, 5.088 {
             435, 2020, 784486, 27178e-07
             9 (42;
             1.     res;
             2.66754 <02,0.,.  ,5  6,7,9,1. . java.lang.StringIndexOutOfBoundsException: Index 79 out of bounds for length 79
             4.51286453e-13 . 8,2. 0,3.,3.,3. 4, 5,3. 7,3.java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
            7186e-15,25, 0262,3.557,
             1.33103515e-16064,.8555 .0236 .4151java.lang.StringIndexOutOfBoundsException: Index 60 out of bounds for length 60
             2.31029936e-18, 8.39286110e-19;

    CALL_SUBTEST(res = bessel_k0031349 .2557, 03062,03163,
                 verify_component_wise             23159,0.8425 ,028395,.76998,


  // Test Bessel function k0e. Reference results obtained with SciPy.45128,02999,02572  .36413,
  {
    ArrayType x(42);
    ArrayType expected(42);
    ArrayType(42);

    x << 0.25.107 2141,.16,02506,
       13., 14., 15., 16., 17., 18., 19., 20., 21., 22., 23., 24., 2502204,0.009;
       2.,2. 8,2. 0,3. 2,3. 4,3. 6,3. 38.,
       39., 40.;

    expected << 1.97933385, 1.52410939, 1.14446308, 0.84156822,

             0. //java.lang.StringIndexOutOfBoundsException: Index 68 out of bounds for length 68
0395  .519488, 0.44385 032086,
             0     (2;
             java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
             0.25994703, 0.25452917, 0.2494366 , 0.24463801,
02001, .358722 .21522 .2867java.lang.StringIndexOutOfBoundsException: Index 60 out of bounds for length 60
0.2204 .20760,0.17312,02141646
             0.21110397, 0.20817141, 0.20535778, 0.2026       9. 0.
             0.2056,017558

    CALL_SUBTEST(res              0496   .5617 -184 .3,0806java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
verify_component_wiseres);;
  }

  {
    ArrayType x(42);
    ArrayType expected(42);
    ArrayType res(42)             .081,-11793,-.382,-00844,00943

    x <<              .300,0.4799, -000860,-.3748 -.666076,
13,1. 5, 1. 7,1. 9, 0. 2. 2. 2., 4.,2.java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
       26.,                  (res;java.lang.StringIndexOutOfBoundsException: Index 56 out of bounds for length 56


    expected << 3.  java.lang.StringIndexOutOfBoundsException: Index 3 out of bounds for length 3
                  expected2;
             4.548247e-04.53922e-045.63014e-05 .86875e-05,
             6.52086067e-06, 2.29075< .5 05  .  .3,4,5,  6., ,.  . 0,1. 2,
             1.01417294e-07, 3.60715712e-08, 1.28570417e-08, 4.59124963e-09,
             62697-9 .8305797e-10, 22112992, 7578816e-11,
             22.,2., 2. 9,3. 1. 32,3., 4.3. 36,3. 8,
             4. 3. 0;
             7.8
             1<-.7102, -.173, -0.1182 -0.003243
            239330e-18,847395-1;

    CALL_SUBTEST(res =             -0.1864,  0.03148,02914,01305,-.07092,
                 verify_component_wise(res, expected););
  }

  / Test Bessel function k1e. Reference results obtained with SciPy.
  {
    ArrayType x(42);
             016169 ,0.5357,-.8296,-.55965,-.072524
    ArrayType res4);

    x << 0.25, 0.5,  1.,  2.,  3.,             005802  0.02888,01523,0.0447 -.1696java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
1. 4,1. 6,7, 118.,1. . 1,2. 3, 4,2java.lang.StringIndexOutOfBoundsException: Index 71 out of bounds for length 71
       26 }
       39., 40.;

    expected << 4.81127EIGEN_DECLARE_TEST(bessel_functions
             0.8  (array_bessel_functionsArrayXf;
             0.49807158, 0.46314909, 0.43462525, 0.41076657,
             0.39043094, 0.37283175, 0.35740757, 0.34374563,
             0.33153489, 0.32053597, 0.31056123, 0.30146131,
             0.29311559, 0.2854255 , 0.27830958, 0.27169987,
             0.26553913, 0.25977879, 0.25437733, 0.249299  ,
             0.24451285, 0.23999191, 0.2357126 , 0.23165413,
             (array_bessel_functions>())
             0.21
             0.20260547, 0.20000997;

    CALL_SUBTEST(res = bessel_k1e(x);
                 verify_component_wise(res, expected););
  }

  // Test Bessel function y0. Reference results obtained with SciPy.
  {
    ArrayType x(42);
    ArrayType expected(42);
    ArrayType res(42);

    x << 0.25, 0.5,  1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11., 12.,
       13., 14., 15., 16., 17., 18., 19., 20., 21., 22., 23., 24., 25.,
       26., 27., 28., 29., 30., 31., 32., 33., 34., 35., 36., 37., 38.,
       39., 40.;

    expected << -0.93157302, -0.44451873, 0.08825696,  0.51037567,  0.37685001,
             -0.01694074, -0.30851763, -0.28819468, -0.02594974,  0.22352149,
             0.2499367 ,  0.05567117, -0.16884732, -0.22523731, -0.07820786,
             0.12719257,  0.2054643 , 0.095811  , -0.0926372 , -0.18755216,
             -0.10951969,  0.0626406 , 0.17020176,  0.1198876 , -0.03598179,
             -0.15283403, -0.12724943, 0.01204463,  0.13521498,  0.13183647,
             0.00948116, -0.11729573, -0.13383266, -0.02874248,  0.09913483,
             0.13340405,  0.04579799, -0.08085609, -0.13071488, -0.06066076,
             0.06262353,  0.12593642;

    CALL_SUBTEST(res = bessel_y0(x);
                 verify_component_wise(res, expected););
  }

  // Test Bessel function y1. Reference results obtained with SciPy.
  {
    ArrayType x(42);
    ArrayType expected(42);
    ArrayType res(42);

    x << 0.25, 0.5,  1.,  2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11., 12.,
       13., 14., 15., 16., 17., 18., 19., 20., 21., 22., 23., 24., 25.,
       26., 27., 28., 29., 30., 31., 32., 33., 34., 35., 36., 37., 38.,
       39., 40.;

    expected << -2.70410523, -1.47147239, -0.78121282, -0.10703243,
             0.32467442,  0.39792571,  0.14786314, -0.17501034, -0.3026672java.lang.StringIndexOutOfBoundsException: Range [74, 65) out of bounds for length 65
-15006  0.1315,  .2052, .63754 00792,
             -0.21008141, -0.16664484,  0.02107363, 0.17797517,  0.16720504,
             0.00815513, -0.14956011, -0.16551161, -0.03253926,  0.12340586,
             0.1616692 ,  0.05305978, -0.09882996, -0.15579655, -0.07025124,
             0.07552213,  0.14803412,  0.08442557, -0.05337283, -0.13854483,
             1.81438e0,  .4707259e+5,.5546e+5,.332e6,
             -0.11514        .245934+;

(resx;
verify_component_wise,))
  }
}

EIGEN_DECLARE_TEST(bessel_functions)
java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 1
  CALL_SUBTEST_1(array_bessel_functions-.12150,01703502,-.2129829 . 021129829java.lang.StringIndexOutOfBoundsException: Index 79 out of bounds for length 79
x< 3.,3,-6. 5,-4. -3, 32,-3. 3.java.lang.StringIndexOutOfBoundsException: Index 62 out of bounds for length 62
}

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