Mercurial > octave
annotate libinterp/corefcn/quadcc.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 80373844f8b2 |
children | 347fd0653508 820d2c802247 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2010-2022 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
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25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
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28 #endif |
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29 |
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30 #include <cmath> |
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31 |
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32 #include <algorithm> |
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33 |
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34 #include "lo-ieee.h" |
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35 #include "oct-locbuf.h" |
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36 |
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37 #include "defun.h" |
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38 #include "error.h" |
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39 #include "interpreter-private.h" |
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40 #include "ovl.h" |
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41 #include "parse.h" |
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42 #include "utils.h" |
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43 #include "variables.h" |
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44 |
20910 | 45 // Extended debugging. |
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46 #define DEBUG_QUADCC 0 |
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47 |
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48 OCTAVE_NAMESPACE_BEGIN |
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49 |
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51 static const int MIN_CQUAD_HEAPSIZE = 200; |
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52 |
20910 | 53 // Data of a single interval. |
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54 struct cquad_ival |
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55 { |
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56 double a, b; |
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57 double c[64]; |
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58 double fx[33]; |
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59 double igral, err; |
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60 int depth, rdepth, ndiv; |
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61 }; |
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62 |
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63 // Define relative tolerance used when deciding to drop an interval. |
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64 static const double DROP_RELTOL = std::numeric_limits<double>::epsilon () * 10; |
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65 |
20910 | 66 // Some constants and matrices that we'll need. |
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67 |
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68 static const double xi[33] = |
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69 { |
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70 -1., -0.99518472667219688624, -0.98078528040323044912, |
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71 -0.95694033573220886493, -0.92387953251128675612, |
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72 -0.88192126434835502970, -0.83146961230254523708, |
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73 -0.77301045336273696082, -0.70710678118654752440, |
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74 -0.63439328416364549822, -0.55557023301960222475, |
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75 -0.47139673682599764857, -0.38268343236508977173, |
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76 -0.29028467725446236764, -0.19509032201612826785, |
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77 -0.098017140329560601995, 0., 0.098017140329560601995, |
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78 0.19509032201612826785, 0.29028467725446236764, 0.38268343236508977173, |
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79 0.47139673682599764857, 0.55557023301960222475, 0.63439328416364549822, |
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80 0.70710678118654752440, 0.77301045336273696082, 0.83146961230254523708, |
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81 0.88192126434835502970, 0.92387953251128675612, 0.95694033573220886493, |
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82 0.98078528040323044912, 0.99518472667219688624, 1. |
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83 }; |
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84 |
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85 static const double bee[68] = |
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86 { |
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87 0.00000000000000e+00, 2.28868854108532e-01, 0.00000000000000e+00, |
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88 -8.15740215243451e-01, 0.00000000000000e+00, 5.31212715259731e-01, |
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89 0.00000000000000e+00, 1.38538036812454e-02, 0.00000000000000e+00, |
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90 3.74405228908818e-02, 0.00000000000000e+00, 2.12224115039342e-01, |
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91 0.00000000000000e+00, -8.16362644507898e-01, 0.00000000000000e+00, |
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92 5.35648426691481e-01, 0.00000000000000e+00, 1.52417902753662e-03, |
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93 0.00000000000000e+00, 2.63058840550873e-03, 0.00000000000000e+00, |
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94 4.15292106318904e-03, 0.00000000000000e+00, 6.97106011119775e-03, |
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95 0.00000000000000e+00, 1.35535708431058e-02, 0.00000000000000e+00, |
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96 3.52132898424856e-02, 0.00000000000000e+00, 2.06946714741884e-01, |
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97 0.00000000000000e+00, -8.15674251283876e-01, 0.00000000000000e+00, |
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98 5.38841175520580e-01, 0.00000000000000e+00, 1.84909689577590e-04, |
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99 0.00000000000000e+00, 2.90936325007499e-04, 0.00000000000000e+00, |
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100 3.84877750950089e-04, 0.00000000000000e+00, 4.86436656735046e-04, |
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101 0.00000000000000e+00, 6.08688640346879e-04, 0.00000000000000e+00, |
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102 7.66732830740331e-04, 0.00000000000000e+00, 9.82753336104205e-04, |
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103 0.00000000000000e+00, 1.29359957505615e-03, 0.00000000000000e+00, |
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104 1.76616363801885e-03, 0.00000000000000e+00, 2.53323433039089e-03, |
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105 0.00000000000000e+00, 3.88872172121956e-03, 0.00000000000000e+00, |
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106 6.58635106468291e-03, 0.00000000000000e+00, 1.30326736343254e-02, |
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107 0.00000000000000e+00, 3.44353850696714e-02, 0.00000000000000e+00, |
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108 2.05025409531915e-01, 0.00000000000000e+00, -8.14985893995401e-01, |
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109 0.00000000000000e+00, 5.40679930965238e-01 |
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110 }; |
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111 |
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112 static const double Lalpha[33] = |
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113 { |
10944
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114 5.77350269189626e-01, 5.16397779494322e-01, 5.07092552837110e-01, |
a7655cdba470
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115 5.03952630678970e-01, 5.02518907629606e-01, 5.01745206004255e-01, |
a7655cdba470
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116 5.01280411827603e-01, 5.00979432868120e-01, 5.00773395667191e-01, |
a7655cdba470
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117 5.00626174321759e-01, 5.00517330712619e-01, 5.00434593736979e-01, |
a7655cdba470
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118 5.00370233297676e-01, 5.00319182924304e-01, 5.00278009473803e-01, |
a7655cdba470
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parents:
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119 5.00244319584578e-01, 5.00216403386025e-01, 5.00193012939056e-01, |
a7655cdba470
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|
120 5.00173220168024e-01, 5.00156323280355e-01, 5.00141783641018e-01, |
a7655cdba470
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121 5.00129182278347e-01, 5.00118189340972e-01, 5.00108542278496e-01, |
a7655cdba470
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parents:
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122 5.00100030010004e-01, 5.00092481273333e-01, 5.00085755939229e-01, |
a7655cdba470
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parents:
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123 5.00079738458365e-01, 5.00074332862969e-01, 5.00069458915387e-01, |
a7655cdba470
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parents:
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124 5.00065049112355e-01, 5.00061046334395e-01, 5.00057401986298e-01 |
a7655cdba470
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parents:
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125 }; |
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126 |
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127 static const double Lgamma[33] = |
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128 { |
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129 0.0, 0.0, 5.16397779494322e-01, 5.07092552837110e-01, 5.03952630678970e-01, |
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130 5.02518907629606e-01, 5.01745206004255e-01, 5.01280411827603e-01, |
a7655cdba470
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parents:
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131 5.00979432868120e-01, 5.00773395667191e-01, 5.00626174321759e-01, |
a7655cdba470
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parents:
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132 5.00517330712619e-01, 5.00434593736979e-01, 5.00370233297676e-01, |
a7655cdba470
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parents:
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133 5.00319182924304e-01, 5.00278009473803e-01, 5.00244319584578e-01, |
a7655cdba470
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parents:
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134 5.00216403386025e-01, 5.00193012939056e-01, 5.00173220168024e-01, |
a7655cdba470
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parents:
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135 5.00156323280355e-01, 5.00141783641018e-01, 5.00129182278347e-01, |
a7655cdba470
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parents:
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136 5.00118189340972e-01, 5.00108542278496e-01, 5.00100030010003e-01, |
a7655cdba470
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parents:
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137 5.00092481273333e-01, 5.00085755939229e-01, 5.00079738458365e-01, |
a7655cdba470
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parents:
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|
138 5.00074332862969e-01, 5.00069458915387e-01, 5.00065049112355e-01, |
a7655cdba470
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parents:
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|
139 5.00061046334395e-01 |
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parents:
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140 }; |
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141 |
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142 static const double V1inv[5 * 5] = |
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143 { |
10944
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144 .47140452079103168293e-1, .37712361663282534635, .56568542494923801952, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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145 .37712361663282534635, .47140452079103168293e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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146 -.81649658092772603273e-1, -.46188021535170061160, 0, |
a7655cdba470
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parents:
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147 .46188021535170061160, .81649658092772603273e-1, .15058465048420853962, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
148 .12046772038736683169, -.54210474174315074262, .12046772038736683169, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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149 .15058465048420853962, -.21380899352993950775, .30237157840738178177, -0., |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
150 -.30237157840738178177, .21380899352993950775, .10774960475223581324, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
151 -.21549920950447162648, .21549920950447162648, -.21549920950447162648, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
152 .10774960475223581324 |
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153 }; |
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154 |
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155 static const double V2inv[9 * 9] = |
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156 { |
10944
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parents:
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157 .11223917161691230546e-1, .10339219839658349826, .19754094204576565761, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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158 .25577315077753587922, .27835314560994251755, .25577315077753587922, |
a7655cdba470
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parents:
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|
159 .19754094204576565761, .10339219839658349826, .11223917161691230546e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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160 -.19440394783993476970e-1, -.16544884625069155470, -.24193725566041460608, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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161 -.16953338808305493604, 0.0, .16953338808305493604, .24193725566041460608, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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162 .16544884625069155470, .19440394783993476970e-1, .26466393115406349388e-1, |
a7655cdba470
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parents:
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163 .17766815796285469394, .11316664642449611462, -.16306601003711325980, |
a7655cdba470
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parents:
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164 -.30847037493128779631, -.16306601003711325980, .11316664642449611462, |
a7655cdba470
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parents:
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165 .17766815796285469394, .26466393115406349388e-1, |
a7655cdba470
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parents:
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166 -.32395302049990834508e-1, -.15521142532414866547, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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167 .88573492664788602740e-1, .29570405784974857322, 0.0, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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168 -.29570405784974857322, -.88573492664788602740e-1, .15521142532414866547, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
169 .32395302049990834508e-1, .41442155673936851246e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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170 .98186757907405608245e-1, -.23056908429499411784, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
171 -.68047008326360625520e-1, .31797435808002456774, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
172 -.68047008326360625520e-1, -.23056908429499411784, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
173 .98186757907405608245e-1, .41442155673936851246e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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174 -.49981120317798783134e-1, -.24861810572835756217e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
175 .23561326072010832539, -.24472785656448415351, 0.0, .24472785656448415351, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
176 -.23561326072010832539, .24861810572835756217e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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177 .49981120317798783134e-1, .79691635865674781228e-1, |
a7655cdba470
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parents:
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178 -.95725617891693941833e-1, -.57957553356854386344e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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179 .21164072460540271452, -.27529837844505833514, .21164072460540271452, |
a7655cdba470
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parents:
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180 -.57957553356854386344e-1, -.95725617891693941833e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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181 .79691635865674781228e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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182 -.10894869830716590913, .20131094491947531782, -.15407672674888869038, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
183 .83385723639789791384e-1, 0.0, -.83385723639789791384e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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184 .15407672674888869038, -.20131094491947531782, .10894869830716590913, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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185 .54581057089643838221e-1, -.10916211417928767644, .10916211417928767644, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
186 -.10916211417928767644, .10916211417928767644, -.10916211417928767644, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
187 .10916211417928767644, -.10916211417928767644, .54581057089643838221e-1 |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
188 }; |
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189 |
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190 static const double V3inv[17 * 17] = |
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191 { |
10944
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192 .27729677693590098996e-2, .26423663180333065153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
193 .53374068493933898312e-1, .77007854739523195947e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
194 .98257061072911596869e-1, .11538049741786835604, .12832134344120884559, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
195 .13612785914022865001, .13888293186236181317, .13612785914022865001, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
196 .12832134344120884559, .11538049741786835604, .98257061072911596869e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
197 .77007854739523195947e-1, .53374068493933898312e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
198 .26423663180333065153e-1, .27729677693590098996e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
199 -.48029210642807413690e-2, -.44887724635478800254e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
200 -.85409520147301089416e-1, -.11090267822061423050, -.12033983162705862441, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
201 -.11102786862182788886, -.85054870109799336515e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
202 -.45998467987742225160e-1, 0.0, .45998467987742225160e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
203 .85054870109799336515e-1, .11102786862182788886, .12033983162705862441, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
204 .11090267822061423050, .85409520147301089416e-1, .44887724635478800254e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
205 .48029210642807413690e-2, .62758546879582030087e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
206 .55561297093529155869e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
207 .93281491021051539742e-1, .92320151237493695139e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
208 .55077987469605684531e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
209 -.96998141716497488255e-2, -.80285961895427405567e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
210 -.13496839655913850224, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
211 -.15512521776684524331, -.13496839655913850224, -.80285961895427405567e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
212 -.96998141716497488255e-2, .55077987469605684531e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
213 .92320151237493695139e-1, .93281491021051539742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
214 .55561297093529155869e-1, .62758546879582030087e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
215 -.74850969394858555939e-2, -.61751608943839234096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
216 -.82974150437304275958e-1, -.38437763431942633378e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
217 .45745502025779701366e-1, .12369235652734542162, .14720439712852868239, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
218 .98768034347019704401e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
219 -.98768034347019704401e-1, -.14720439712852868239, -.12369235652734542162, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
220 -.45745502025779701366e-1, .38437763431942633378e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
221 .82974150437304275958e-1, .61751608943839234096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
222 .74850969394858555939e-2, .86710099994384056338e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
223 .64006230103659573344e-1, .58517426396091675690e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
224 -.29743410528985802680e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
225 -.11934127779157114754, -.12686773515361299409, -.30729137153877447035e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
226 .97307836256600731568e-1, .15635811574451401023, .97307836256600731568e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
227 -.30729137153877447035e-1, -.12686773515361299409, -.11934127779157114754, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
228 -.29743410528985802680e-1, .58517426396091675690e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
229 .64006230103659573344e-1, .86710099994384056338e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
230 -.97486395666294840165e-2, -.62995604908060224672e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
231 -.24373234450275529219e-1, .87760984413626872730e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
232 .12205204576993351394, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
233 .16216004196864002088e-1, -.12422320942156845775, -.13682714580929614678, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
234 0.0, .13682714580929614678, .12422320942156845775, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
235 -.16216004196864002088e-1, -.12205204576993351394, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
236 -.87760984413626872730e-1, .24373234450275529219e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
237 .62995604908060224672e-1, .97486395666294840165e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
238 .10956271233750488468e-1, .58613204255294358939e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
239 -.13306063940736618859e-1, -.11606666444978454399, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
240 -.52059598001115805639e-1, .10868540217796151849, .12594452879014618005, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
241 -.44678658254872910434e-1, -.15617684362128533405, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
242 -.44678658254872910434e-1, .12594452879014618005, .10868540217796151849, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
243 -.52059598001115805639e-1, -.11606666444978454399, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
244 -.13306063940736618859e-1, .58613204255294358939e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
245 .10956271233750488468e-1, -.12098893000863087230e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
246 -.51626244709126208453e-1, .48919433304746979330e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
247 .10467644465949427090, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
248 -.48729879523084673782e-1, -.13668732103524749234, .28190838706814496438e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
249 .15434223333238741600, 0.0, -.15434223333238741600, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
250 -.28190838706814496438e-1, .13668732103524749234, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
251 .48729879523084673782e-1, -.10467644465949427090, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
252 -.48919433304746979330e-1, .51626244709126208453e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
253 .12098893000863087230e-1, .13542668300437944822e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
254 .41712033418258689308e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
255 -.76190463272803434388e-1, -.58303943170068132010e-1, .12158068748245606853, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
256 .42121099930651007882e-1, -.14684425840766337756, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
257 -.16108203535058647043e-1, .15698075850757976092, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
258 -.16108203535058647043e-1, -.14684425840766337756, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
259 .42121099930651007882e-1, .12158068748245606853, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
260 -.58303943170068132010e-1, -.76190463272803434388e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
261 .41712033418258689308e-1, .13542668300437944822e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
262 -.14939634995117694417e-1, -.30047246373341564039e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
263 .91624635082546425678e-1, -.79133374319110026377e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
264 -.12292558212072233355, .90013382617762643524e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
265 .84013717196539593395e-1, -.14813033309980695856, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
266 .14813033309980695856, -.84013717196539593395e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
267 -.90013382617762643524e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
268 .12292558212072233355, .79133374319110026377e-2, -.91624635082546425678e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
269 .30047246373341564039e-1, .14939634995117694417e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
270 .16986031342807474208e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
271 .15760203882617033601e-1, -.91494054040950941996e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
272 .70082459207876130806e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
273 .53390713710144539104e-1, -.14340746778352039430, .84048122493418898508e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
274 .72456667788091316868e-1, -.15564535320096811360, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
275 .72456667788091316868e-1, .84048122493418898508e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
276 -.14340746778352039430, .53390713710144539104e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
277 .70082459207876130806e-1, -.91494054040950941996e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
278 .15760203882617033601e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
279 .16986031342807474208e-1, -.18994065631858742028e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
280 -.82901821370405592927e-3, .77239669773015192888e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
281 -.10850735431039424680, .47524484622086496464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
282 .69148184871588737021e-1, -.14829314646228194928, .11992057742398672066, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
283 0.0, -.11992057742398672066, .14829314646228194928, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
284 -.69148184871588737021e-1, -.47524484622086496464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
285 .10850735431039424680, -.77239669773015192888e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
286 .82901821370405592927e-3, .18994065631858742028e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
287 .22761703826371535132e-1, -.17728848711449643358e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
288 -.47496371572480503788e-1, .10659958402328690063, -.11696013966166296514, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
289 .63073750910894244526e-1, .32928881123602721303e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
290 -.12280950532497593683, .15926189077282729505, -.12280950532497593683, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
291 .32928881123602721303e-1, .63073750910894244526e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
292 -.11696013966166296514, .10659958402328690063, -.47496371572480503788e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
293 -.17728848711449643358e-1, .22761703826371535132e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
294 -.26493215276042203434e-1, .35579780856128386192e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
295 .10447309718398935122e-1, -.68616154085314996709e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
296 .11775363082763954214, -.13918901977011837274, .12312819418827395690, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
297 -.72053565748259077905e-1, 0.0, .72053565748259077905e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
298 -.12312819418827395690, .13918901977011837274, -.11775363082763954214, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
299 .68616154085314996709e-1, -.10447309718398935122e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
300 -.35579780856128386192e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
301 .26493215276042203434e-1, .40742523354399706918e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
302 -.73124912999529117195e-1, .49317266444153837821e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
303 -.13686605413876015320e-1, -.28342624942191100464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
304 .70371855298258216249e-1, -.10600251632853603875, .12981016288391131812, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
305 -.13817029659318161476, .12981016288391131812, -.10600251632853603875, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
306 .70371855298258216249e-1, -.28342624942191100464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
307 -.13686605413876015320e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
308 .49317266444153837821e-1, -.73124912999529117195e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
309 .40742523354399706918e-1, -.54944368958699908688e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
310 .10777725663147408190, -.10152395581538265428, .91369146312596428468e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
311 -.77703071757424700773e-1, .61050911730999815031e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
312 -.42052599404498348871e-1, .21438229266251454773e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
313 -.21438229266251454773e-1, .42052599404498348871e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
314 -.61050911730999815031e-1, .77703071757424700773e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
315 -.91369146312596428468e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
316 .10152395581538265428, -.10777725663147408190, .54944368958699908688e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
317 .27485608464748840573e-1, -.54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
318 .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
319 -.54971216929497681146e-1, .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
320 -.54971216929497681146e-1, .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
321 -.54971216929497681146e-1, .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
322 -.54971216929497681146e-1, .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
323 -.54971216929497681146e-1, .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
324 -.54971216929497681146e-1, .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
325 -.54971216929497681146e-1, .27485608464748840573e-1 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
326 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
327 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
328 static const double V4inv[33 * 33] = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
329 { |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
330 .69120897476690862600e-3, .66419939766331555194e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
331 .13600665164323186111e-1, .20122785860913684493e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
332 .26583214101668429944e-1, .32712713318999268739e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
333 .38576221976287138036e-1, .44033030938268925133e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
334 .49092709529622799673e-1, .53657949874312515646e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
335 .57724533144734311859e-1, .61219564530655179096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
336 .64138907503837875026e-1, .66427905189318792009e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
337 .68088956652280022887e-1, .69083051391555695878e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
338 .69422738116739271449e-1, .69083051391555695878e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
339 .68088956652280022887e-1, .66427905189318792009e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
340 .64138907503837875026e-1, .61219564530655179096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
341 .57724533144734311859e-1, .53657949874312515646e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
342 .49092709529622799673e-1, .44033030938268925133e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
343 .38576221976287138036e-1, .32712713318999268739e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
344 .26583214101668429944e-1, .20122785860913684493e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
345 .13600665164323186111e-1, .66419939766331555194e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
346 .69120897476690862600e-3, -.11972090629438798134e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
347 -.11448874821643225573e-1, -.23104401104002905904e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
348 -.33352899418646530133e-1, -.42538626424075425908e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
349 -.49969730733911825941e-1, -.55555454015360728353e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
350 -.58955533624852604918e-1, -.60126044219122513907e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
351 -.58959430451175833624e-1, -.55546925396227130606e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
352 -.49984739749347973762e-1, -.42513009141170294365e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
353 -.33399140950669746346e-1, -.23007690803851790829e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
354 -.11728275717520066169e-1, 0.0, .11728275717520066169e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
355 .23007690803851790829e-1, .33399140950669746346e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
356 .42513009141170294365e-1, .49984739749347973762e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
357 .55546925396227130606e-1, .58959430451175833624e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
358 .60126044219122513907e-1, .58955533624852604918e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
359 .55555454015360728353e-1, .49969730733911825941e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
360 .42538626424075425908e-1, .33352899418646530133e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
361 .23104401104002905904e-1, .11448874821643225573e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
362 .11972090629438798134e-2, .15501585012936019146e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
363 .14628781502199620482e-1, .28684915921474815271e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
364 .39299396074628048026e-1, .46393418975496284204e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
365 .48756902531094699526e-1, .46331333488337494692e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
366 .39012645376980228775e-1, .27452795421085791153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
367 .12430953621169863781e-1, -.47682978056024928800e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
368 -.22825828045428973853e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
369 -.40195512090720278312e-1, -.55503004262826221955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
370 -.67424537752827046308e-1, -.75020199300113606452e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
371 -.77607844312483656131e-1, -.75020199300113606452e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
372 -.67424537752827046308e-1, -.55503004262826221955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
373 -.40195512090720278312e-1, -.22825828045428973853e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
374 -.47682978056024928800e-2, .12430953621169863781e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
375 .27452795421085791153e-1, .39012645376980228775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
376 .46331333488337494692e-1, .48756902531094699526e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
377 .46393418975496284204e-1, .39299396074628048026e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
378 .28684915921474815271e-1, .14628781502199620482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
379 .15501585012936019146e-2, -.18377757558949194214e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
380 -.17050470050949761565e-1, -.31952119564923250836e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
381 -.40197423449026348155e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
382 -.41205649520281371624e-1, -.33909965817492272248e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
383 -.19393664422115332144e-1, .56661049630886784692e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
384 .22948272173686561721e-1, .44489719570904738207e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
385 .61790363672287920596e-1, .72121014727028013894e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
386 .73627151185287858579e-1, .65784665375961398923e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
387 .49369676372333667559e-1, .26444326317059715065e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
388 -.26444326317059715065e-1, -.49369676372333667559e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
389 -.65784665375961398923e-1, -.73627151185287858579e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
390 -.72121014727028013894e-1, -.61790363672287920596e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
391 -.44489719570904738207e-1, -.22948272173686561721e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
392 -.56661049630886784692e-3, .19393664422115332144e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
393 .33909965817492272248e-1, .41205649520281371624e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
394 .40197423449026348155e-1, .31952119564923250836e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
395 .17050470050949761565e-1, .18377757558949194214e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
396 .20942714740729767769e-2, .18935902405146518232e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
397 .33335840852491735126e-1, .36770680999102286065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
398 .28873194534132768509e-1, .10267303017729535513e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
399 -.14607738306201572890e-1, -.40139568545572305818e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
400 -.59808326733858291561e-1, -.68528358823372627506e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
401 -.63306535387619244879e-1, -.44508601817574921056e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
402 -.15449116105605395357e-1, .17941083795006546367e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
403 .48747356011657242123e-1, .70329553984201665523e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
404 .78106117292526169663e-1, .70329553984201665523e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
405 .48747356011657242123e-1, .17941083795006546367e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
406 -.15449116105605395357e-1, -.44508601817574921056e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
407 -.63306535387619244879e-1, -.68528358823372627506e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
408 -.59808326733858291561e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
409 -.40139568545572305818e-1, -.14607738306201572890e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
410 .10267303017729535513e-1, .28873194534132768509e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
411 .36770680999102286065e-1, .33335840852491735126e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
412 .18935902405146518232e-1, .20942714740729767769e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
413 -.23245285491878278419e-2, -.20401404737639389919e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
414 -.33019548231022514097e-1, -.29709828426463720091e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
415 -.11760070922697422156e-1, .15987584743850393793e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
416 .43619012891472813485e-1, .61177322409671487721e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
417 .61144030218486655594e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
418 .41895377620089086167e-1, .80232011820644308033e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
419 -.30574701186675900915e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
420 -.62072243008844865848e-1, -.76336186183574765586e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
421 -.68435466095345537115e-1, -.40237669208466966207e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
422 .40237669208466966207e-1, .68435466095345537115e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
423 .76336186183574765586e-1, .62072243008844865848e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
424 .30574701186675900915e-1, -.80232011820644308033e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
425 -.41895377620089086167e-1, -.61144030218486655594e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
426 -.61177322409671487721e-1, -.43619012891472813485e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
427 -.15987584743850393793e-1, .11760070922697422156e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
428 .29709828426463720091e-1, .33019548231022514097e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
429 .20401404737639389919e-1, .23245285491878278419e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
430 .25451717261579269307e-2, .21480418595666878775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
431 .31177212469293007998e-1, .19816333607013379373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
432 -.72439496274458793681e-2, -.38404203906598342397e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
433 -.57633632255322221046e-1, -.54070547403585392952e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
434 -.26249823354368866005e-1, .15643058212336881516e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
435 .54539832735118677194e-1, .73283028002473989724e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
436 .62835303524135936213e-1, .26175977027801048141e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
437 -.22193636309998606610e-1, -.62597049956093311234e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
438 -.78206986173170212505e-1, -.62597049956093311234e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
439 -.22193636309998606610e-1, .26175977027801048141e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
440 .62835303524135936213e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
441 .73283028002473989724e-1, .54539832735118677194e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
442 .15643058212336881516e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
443 -.26249823354368866005e-1, -.54070547403585392952e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
444 -.57633632255322221046e-1, -.38404203906598342397e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
445 -.72439496274458793681e-2, .19816333607013379373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
446 .31177212469293007998e-1, .21480418595666878775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
447 .25451717261579269307e-2, -.27506573922483820005e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
448 -.22224442095099251870e-1, -.27949927254215773020e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
449 -.80918481053370034987e-2, .25121859354449306916e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
450 .51563535009373061074e-1, .51936965107145960512e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
451 .22146626648171527753e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
452 -.24172689882103382748e-1, -.61731229104853568296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
453 -.68477262429344201201e-1, -.38311232728303704742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
454 .14160578713659552679e-1, .61248813427564184033e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
455 .77136328841293031805e-1, .52514801765183697988e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
456 -.52514801765183697988e-1, -.77136328841293031805e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
457 -.61248813427564184033e-1, -.14160578713659552679e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
458 .38311232728303704742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
459 .68477262429344201201e-1, .61731229104853568296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
460 .24172689882103382748e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
461 -.22146626648171527753e-1, -.51936965107145960512e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
462 -.51563535009373061074e-1, -.25121859354449306916e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
463 .80918481053370034987e-2, .27949927254215773020e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
464 .22224442095099251870e-1, .27506573922483820005e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
465 .29562461131654311467e-2, .22630271480554450613e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
466 .23547399831373800971e-1, -.43964593440902476642e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
467 -.39055315767504970597e-1, -.52369643937940066804e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
468 -.28506131614971613422e-1, .19906048093338832322e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
469 .60408880866392420279e-1, .62493397473656883090e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
470 .21391278377641297859e-1, -.37302864786623254746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
471 -.73665127933539496872e-1, -.61706142476854010202e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
472 -.78065168882546327888e-2, .52335307373945544428e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
473 .78278746279419264777e-1, .52335307373945544428e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
474 -.78065168882546327888e-2, -.61706142476854010202e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
475 -.73665127933539496872e-1, -.37302864786623254746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
476 .21391278377641297859e-1, .62493397473656883090e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
477 .60408880866392420279e-1, .19906048093338832322e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
478 -.28506131614971613422e-1, -.52369643937940066804e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
479 -.39055315767504970597e-1, -.43964593440902476642e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
480 .23547399831373800971e-1, .22630271480554450613e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
481 .29562461131654311467e-2, -.31515718415504761303e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
482 -.22739451096655080673e-1, -.18157123602272119779e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
483 .16496480897167303621e-1, .46921166788569301124e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
484 .40644395739978416354e-1, -.46275803430732216900e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
485 -.52883375891308909486e-1, -.61116483226324111734e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
486 -.17411698764545629853e-1, .44773430013166822765e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
487 .73441577962383869198e-1, .42127368371995472815e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
488 -.25504645957196772465e-1, -.74126818045972742488e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
489 -.62780077864719287317e-1, 0.0, .62780077864719287317e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
490 .74126818045972742488e-1, .25504645957196772465e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
491 -.42127368371995472815e-1, -.73441577962383869198e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
492 -.44773430013166822765e-1, .17411698764545629853e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
493 .61116483226324111734e-1, .52883375891308909486e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
494 .46275803430732216900e-2, -.40644395739978416354e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
495 -.46921166788569301124e-1, -.16496480897167303621e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
496 .18157123602272119779e-1, .22739451096655080673e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
497 .31515718415504761303e-2, .33536559294882188208e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
498 .22535348942792006185e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
499 .12048629300953560767e-1, -.27166076791299493403e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
500 -.47492745604230978367e-1, -.19246623430993153174e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
501 .36231297307556299322e-1, .61713617181636122004e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
502 .25928029734266134490e-1, -.40478700752883602818e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
503 -.71053889866326412049e-1, -.31870824482961751482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
504 .41515251100219081281e-1, .76481960760098381651e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
505 .36726509155999912440e-1, -.40090067032627055969e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
506 -.78270742903374539397e-1, -.40090067032627055969e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
507 .36726509155999912440e-1, .76481960760098381651e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
508 .41515251100219081281e-1, -.31870824482961751482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
509 -.71053889866326412049e-1, -.40478700752883602818e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
510 .25928029734266134490e-1, .61713617181636122004e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
511 .36231297307556299322e-1, -.19246623430993153174e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
512 -.47492745604230978367e-1, -.27166076791299493403e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
513 .12048629300953560767e-1, .22535348942792006185e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
514 .33536559294882188208e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
515 -.35481220456925318865e-2, -.22062913693073191150e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
516 -.54487362861834144999e-2, .35438821865804087489e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
517 .40733077820527411302e-1, -.67403098138950720914e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
518 -.55559584405239171054e-1, -.42417050790865158745e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
519 .24499901971884704925e-1, .68721232891705409302e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
520 .34086082787461126592e-1, -.43441000373118474002e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
521 -.73878085292669148950e-1, -.18846995664706657127e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
522 .59827776178286834498e-1, .70644634584085901794e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
523 -.70644634584085901794e-1, -.59827776178286834498e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
524 .18846995664706657127e-1, .73878085292669148950e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
525 .43441000373118474002e-1, -.34086082787461126592e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
526 -.68721232891705409302e-1, -.24499901971884704925e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
527 .42417050790865158745e-1, .55559584405239171054e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
528 .67403098138950720914e-2, -.40733077820527411302e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
529 -.35438821865804087489e-1, .54487362861834144999e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
530 .22062913693073191150e-1, .35481220456925318865e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
531 .37554176816665075631e-2, .21297045781589919482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
532 -.13327293083183431816e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
533 -.40635299172764596484e-1, -.27659860508374175359e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
534 .31089232744083445986e-1, .56113781541334176109e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
535 .37577840643257763400e-2, -.60511227350664590865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
536 -.46670556446129053853e-1, .33263195878575888247e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
537 .72757324720645228775e-1, .15011712351692283635e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
538 -.65601212994924119078e-1, -.60016855838843789772e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
539 .26220858553188665966e-1, .78322776605833552980e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
540 .26220858553188665966e-1, -.60016855838843789772e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
541 -.65601212994924119078e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
542 .15011712351692283635e-1, .72757324720645228775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
543 .33263195878575888247e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
544 -.46670556446129053853e-1, -.60511227350664590865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
545 .37577840643257763400e-2, .56113781541334176109e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
546 .31089232744083445986e-1, -.27659860508374175359e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
547 -.40635299172764596484e-1, -.13327293083183431816e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
548 .21297045781589919482e-1, .37554176816665075631e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
549 -.39566995305720591229e-2, -.20291873414438919995e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
550 .80617453830770930551e-2, .42270189157016547906e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
551 .10332624526759093004e-1, -.48054759547616142024e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
552 -.37678032941171643972e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
553 .36617192625732482394e-1, .61009425973424865714e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
554 -.95589113168026591466e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
555 -.71023202645076922361e-1, -.25097788086808784456e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
556 .62406621963267050244e-1, .56907293171100693511e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
557 -.36435383083882206257e-1, -.75790105119208756348e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
558 .75790105119208756348e-1, .36435383083882206257e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
559 -.56907293171100693511e-1, -.62406621963267050244e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
560 .25097788086808784456e-1, .71023202645076922361e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
561 .95589113168026591466e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
562 -.61009425973424865714e-1, -.36617192625732482394e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
563 .37678032941171643972e-1, .48054759547616142024e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
564 -.10332624526759093004e-1, -.42270189157016547906e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
565 -.80617453830770930551e-2, .20291873414438919995e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
566 .39566995305720591229e-2, .41776092289182138591e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
567 .19013221163904414395e-1, -.14420609729849899876e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
568 -.40259160586844441220e-1, .86327811113710831649e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
569 .53564430703021034399e-1, .65469185402150431933e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
570 -.60383116311280629856e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
571 -.25657793784058876939e-1, .58745680576829226900e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
572 .45649937869034420296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
573 -.49167932056844167772e-1, -.62696614328552187977e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
574 .32540234556426699997e-1, .74280410383464269758e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
575 -.11425672633410999870e-1, -.78280649404686404903e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
576 -.11425672633410999870e-1, .74280410383464269758e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
577 .32540234556426699997e-1, -.62696614328552187977e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
578 -.49167932056844167772e-1, .45649937869034420296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
579 .58745680576829226900e-1, -.25657793784058876939e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
580 -.60383116311280629856e-1, .65469185402150431933e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
581 .53564430703021034399e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
582 .86327811113710831649e-2, -.40259160586844441220e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
583 -.14420609729849899876e-1, .19013221163904414395e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
584 .41776092289182138591e-2, -.43935502082478059199e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
585 -.17528761237509401631e-1, .20208915249153872535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
586 .34734743119040669109e-1, -.26275910172353637955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
587 -.46368003346018878786e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
588 .26800056330709381025e-1, .56681476464606609921e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
589 -.24749011438127255898e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
590 -.64934612189056658992e-1, .20333742247679279535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
591 .71429299070059318651e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
592 -.14452513210428671266e-1, -.75793341281736586582e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
593 .74717094137184935270e-2, .78034921554757317374e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
594 -.78034921554757317374e-1, -.74717094137184935270e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
595 .75793341281736586582e-1, .14452513210428671266e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
596 -.71429299070059318651e-1, -.20333742247679279535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
597 .64934612189056658992e-1, .24749011438127255898e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
598 -.56681476464606609921e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
599 -.26800056330709381025e-1, .46368003346018878786e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
600 .26275910172353637955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
601 -.34734743119040669109e-1, -.20208915249153872535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
602 .17528761237509401631e-1, .43935502082478059199e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
603 .46379089482818671473e-2, .15791188144791287229e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
604 -.25134290048737455284e-1, -.26249795071946841205e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
605 .39960457575789924651e-1, .28111892450146525404e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
606 -.51026476400767918226e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
607 -.27266747278681831364e-1, .60708796647861610865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
608 .23532306960642115854e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
609 -.68169639871532441111e-1, -.18204924701958312032e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
610 .73822890510656128485e-1, .11373392486424717019e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
611 -.77133324017644609416e-1, -.39295877480342619961e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
612 .78351902829418987960e-1, -.39295877480342619961e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
613 -.77133324017644609416e-1, .11373392486424717019e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
614 .73822890510656128485e-1, -.18204924701958312032e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
615 -.68169639871532441111e-1, .23532306960642115854e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
616 .60708796647861610865e-1, -.27266747278681831364e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
617 -.51026476400767918226e-1, .28111892450146525404e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
618 .39960457575789924651e-1, -.26249795071946841205e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
619 -.25134290048737455284e-1, .15791188144791287229e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
620 .46379089482818671473e-2, -.48780095920069827068e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
621 -.13886961667516983541e-1, .29071311049368895844e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
622 .15480559452075811600e-1, -.47527977686242313065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
623 -.31929089844361042178e-2, .58015667638415922967e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
624 -.14547915466597622925e-1, -.61067668299848923244e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
625 .35093678009090186851e-1, .55378399159800654657e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
626 -.54277226474891610385e-1, -.42023830782434076509e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
627 .69197384645944912066e-1, .22610783557709586445e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
628 -.77269275900637030185e-1, 0.0, .77269275900637030185e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
629 -.22610783557709586445e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
630 -.69197384645944912066e-1, .42023830782434076509e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
631 .54277226474891610385e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
632 -.55378399159800654657e-1, -.35093678009090186851e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
633 .61067668299848923244e-1, .14547915466597622925e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
634 -.58015667638415922967e-1, .31929089844361042178e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
635 .47527977686242313065e-1, -.15480559452075811600e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
636 -.29071311049368895844e-1, .13886961667516983541e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
637 .48780095920069827068e-2, .51591759101720291381e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
638 .11747497650231330965e-1, -.31777863364694653331e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
639 -.34555825499804605557e-2, .47914131921157015198e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
640 -.22573685920142225247e-1, -.45320344390022666738e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
641 .49660630547172186418e-1, .25707858143963615736e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
642 -.68132707341917233933e-1, .67534860185243140399e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
643 .69268150370037450063e-1, -.41585011920451477177e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
644 -.51622397460510041271e-1, .68408139576363036148e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
645 .18981259024768933323e-1, -.78265472429342305554e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
646 .18981259024768933323e-1, .68408139576363036148e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
647 -.51622397460510041271e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
648 -.41585011920451477177e-1, .69268150370037450063e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
649 .67534860185243140399e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
650 -.68132707341917233933e-1, .25707858143963615736e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
651 .49660630547172186418e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
652 -.45320344390022666738e-1, -.22573685920142225247e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
653 .47914131921157015198e-1, -.34555825499804605557e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
654 -.31777863364694653331e-1, .11747497650231330965e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
655 .51591759101720291381e-2, -.54365757412741340377e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
656 -.94862516619529080191e-2, .33240472093448190877e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
657 -.88698898099681552229e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
658 -.40973252097216337576e-1, .42995673349795657065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
659 .17320914507876958783e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
660 -.62201292691914856803e-1, .24726274174637346693e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
661 .51320859246515407288e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
662 -.62882063373810501763e-1, -.11003569131725622672e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
663 .73842261324108943465e-1, -.39240120294802923208e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
664 -.49293966443941122807e-1, .73552644778818223475e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
665 -.73552644778818223475e-1, .49293966443941122807e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
666 .39240120294802923208e-1, -.73842261324108943465e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
667 .11003569131725622672e-1, .62882063373810501763e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
668 -.51320859246515407288e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
669 -.24726274174637346693e-1, .62201292691914856803e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
670 -.17320914507876958783e-1, -.42995673349795657065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
671 .40973252097216337576e-1, .88698898099681552229e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
672 -.33240472093448190877e-1, .94862516619529080191e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
673 .54365757412741340377e-2, .57750194549356126240e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
674 .69981166020044116791e-2, -.33274982140403110792e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
675 .20297071020698356116e-1, .27898517839646066582e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
676 -.53368678853282030262e-1, .16656482990394548343e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
677 .46342901447260614255e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
678 -.60536796508149003365e-1, .29109107483842596340e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
679 .63224486124385124504e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
680 -.59028872851312033411e-1, -.14783105962696191734e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
681 .74269399241069253865e-1, -.49053677339382384625e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
682 -.33525466624811186739e-1, .78397349622515386647e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
683 -.33525466624811186739e-1, -.49053677339382384625e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
684 .74269399241069253865e-1, -.14783105962696191734e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
685 -.59028872851312033411e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
686 .63224486124385124504e-1, .29109107483842596340e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
687 -.60536796508149003365e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
688 .46342901447260614255e-1, .16656482990394548343e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
689 -.53368678853282030262e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
690 .27898517839646066582e-1, .20297071020698356116e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
691 -.33274982140403110792e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
692 .69981166020044116791e-2, .57750194549356126240e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
693 -.61100308370519200637e-2, -.44383614355738148616e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
694 .32011283412619094811e-1, -.29965011866372897633e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
695 -.10560682331349193348e-1, .51110336443392506342e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
696 -.45012284729681775492e-1, -.94236825555873320102e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
697 .60860695783141264746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
698 -.55014628647083368926e-1, -.73474782382499482121e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
699 .66640148475243034781e-1, -.62533116045749887988e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
700 -.38650525912400102585e-2, .68429769005837003777e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
701 -.66984505412544901945e-1, 0.0, .66984505412544901945e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
702 -.68429769005837003777e-1, .38650525912400102585e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
703 .62533116045749887988e-1, -.66640148475243034781e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
704 .73474782382499482121e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
705 .55014628647083368926e-1, -.60860695783141264746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
706 .94236825555873320102e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
707 .45012284729681775492e-1, -.51110336443392506342e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
708 .10560682331349193348e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
709 .29965011866372897633e-1, -.32011283412619094811e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
710 .44383614355738148616e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
711 .61100308370519200637e-2, .65409373892036191538e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
712 .16350101107071157065e-2, -.29301957285983144319e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
713 .36838667173388832579e-1, -.81922703976491586393e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
714 -.36955670021050133434e-1, .58374851095540469865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
715 -.31977016246946181856e-1, -.25311073698658094646e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
716 .66674413950106952577e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
717 -.54865713324521039571e-1, -.39797027891537985440e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
718 .62830285264808449064e-1, -.72226313251296100676e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
719 .22560232697133353980e-1, .46455784709904033738e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
720 -.78200930751070349956e-1, .46455784709904033738e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
721 .22560232697133353980e-1, -.72226313251296100676e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
722 .62830285264808449064e-1, -.39797027891537985440e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
723 -.54865713324521039571e-1, .66674413950106952577e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
724 -.25311073698658094646e-1, -.31977016246946181856e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
725 .58374851095540469865e-1, -.36955670021050133434e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
726 -.81922703976491586393e-2, .36838667173388832579e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
727 -.29301957285983144319e-1, .16350101107071157065e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
728 .65409373892036191538e-2, -.69686180931868703196e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
729 .11849538727632789870e-2, .25452286414610537766e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
730 -.40522480651713943230e-1, .25694679053362813183e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
731 .14057118113748390637e-1, -.52037614725803488893e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
732 .58849342223684035589e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
733 -.25075229077361409271e-1, -.29559771094034181083e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
734 .68296746944165720199e-1, -.62890462146423984955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
735 .14457636466274596445e-1, .45787612031322361496e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
736 -.77231759014655809742e-1, .57881203613910543657e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
737 -.57881203613910543657e-1, .77231759014655809742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
738 -.45787612031322361496e-1, -.14457636466274596445e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
739 .62890462146423984955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
740 -.68296746944165720199e-1, .29559771094034181083e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
741 .25075229077361409271e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
742 -.58849342223684035589e-1, .52037614725803488893e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
743 -.14057118113748390637e-1, -.25694679053362813183e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
744 .40522480651713943230e-1, -.25452286414610537766e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
745 -.11849538727632789870e-2, .69686180931868703196e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
746 .75611653617520254845e-2, -.43290610418608409141e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
747 -.20277062025115566914e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
748 .40362947027704828926e-1, -.38938808024132120254e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
749 .11831186195916702262e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
750 .28476667401744525357e-1, -.59320969056617684621e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
751 .61101629747436200186e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
752 -.29514834848355389223e-1, -.20668001885001084821e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
753 .62923592802445122793e-1, -.73558456263588833115e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
754 .45314556330160999776e-1, .79031645918426015574e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
755 -.58136953576334689357e-1, .78538474524006405758e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
756 -.58136953576334689357e-1, .79031645918426015574e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
757 .45314556330160999776e-1, -.73558456263588833115e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
758 .62923592802445122793e-1, -.20668001885001084821e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
759 -.29514834848355389223e-1, .61101629747436200186e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
760 -.59320969056617684621e-1, .28476667401744525357e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
761 .11831186195916702262e-1, -.38938808024132120254e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
762 .40362947027704828926e-1, -.20277062025115566914e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
763 -.43290610418608409141e-2, .75611653617520254845e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
764 -.81505692478987769484e-2, .74297333588288568430e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
765 .14314212513540223314e-1, -.36711242251332751607e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
766 .46240027755503814626e-1, -.34921532671769023773e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
767 .46930051972353714773e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
768 .32842770336385381562e-1, -.61317813706529588466e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
769 .67000809902468893103e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
770 -.45337449655535622885e-1, .35794459576271920867e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
771 .41830061526027213385e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
772 -.72091371931944711708e-1, .74150028530317793195e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
773 -.46487632538609942002e-1, 0.0, .46487632538609942002e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
774 -.74150028530317793195e-1, .72091371931944711708e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
775 -.41830061526027213385e-1, -.35794459576271920867e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
776 .45337449655535622885e-1, -.67000809902468893103e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
777 .61317813706529588466e-1, -.32842770336385381562e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
778 -.46930051972353714773e-2, .34921532671769023773e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
779 -.46240027755503814626e-1, .36711242251332751607e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
780 -.14314212513540223314e-1, -.74297333588288568430e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
781 .81505692478987769484e-2, .90693182942442189743e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
782 -.11121000903959576737e-1, -.71308296141317458546e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
783 .29219439765986671645e-1, -.45820286629778129593e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
784 .49088381175879124421e-1, -.35614888785023038938e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
785 .78906970900092777895e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
786 .26262843038404929480e-1, -.56143674270125757857e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
787 .71700220472378350694e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
788 -.66963544500697307945e-1, .42215091779892228883e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
789 -.41338867413966866997e-2, -.36164891772995367321e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
790 .66584367783847858225e-1, -.77874712365070098328e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
791 .66584367783847858225e-1, -.36164891772995367321e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
792 -.41338867413966866997e-2, .42215091779892228883e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
793 -.66963544500697307945e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
794 .71700220472378350694e-1, -.56143674270125757857e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
795 .26262843038404929480e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
796 .78906970900092777895e-2, -.35614888785023038938e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
797 .49088381175879124421e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
798 -.45820286629778129593e-1, .29219439765986671645e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
799 -.71308296141317458546e-2, -.11121000903959576737e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
800 .90693182942442189743e-2, -.99848472706332791043e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
801 .14701271465939718856e-1, -.32917820356048383366e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
802 -.19201195309873585230e-1, .38409681836626963278e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
803 -.51647324405878909521e-1, .54522171113149311354e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
804 -.45040302741689006270e-1, .24183738595685990149e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
805 .42204134165479735097e-2, -.34317295181348742251e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
806 .59542472465494579941e-1, -.74135115907618101263e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
807 .74491937840566532596e-1, -.60042604725161994304e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
808 .33437677409000083169e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
809 -.33437677409000083169e-1, .60042604725161994304e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
810 -.74491937840566532596e-1, .74135115907618101263e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
811 -.59542472465494579941e-1, .34317295181348742251e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
812 -.42204134165479735097e-2, -.24183738595685990149e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
813 .45040302741689006270e-1, -.54522171113149311354e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
814 .51647324405878909521e-1, -.38409681836626963278e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
815 .19201195309873585230e-1, .32917820356048383366e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
816 -.14701271465939718856e-1, .99848472706332791043e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
817 .11775579274769383373e-1, -.19892153937316935880e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
818 .95335114477449041055e-2, .57661528440359081617e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
819 -.23382690532380910781e-1, .40237257037170725321e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
820 -.53280289903551636474e-1, .59974361806023689068e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
821 -.58701684061992853224e-1, .49033407111597129616e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
822 -.31818835267847249219e-1, .90800541261162098886e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
823 .16272906819312603838e-1, -.40863896581186229487e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
824 .61346046297517367703e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
825 -.74896047554167268919e-1, .79632642148310325817e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
826 -.74896047554167268919e-1, .61346046297517367703e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
827 -.40863896581186229487e-1, .16272906819312603838e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
828 .90800541261162098886e-2, -.31818835267847249219e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
829 .49033407111597129616e-1, -.58701684061992853224e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
830 .59974361806023689068e-1, -.53280289903551636474e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
831 .40237257037170725321e-1, -.23382690532380910781e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
832 .57661528440359081617e-2, .95335114477449041055e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
833 -.19892153937316935880e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
834 .11775579274769383373e-1, -.13562702617218467450e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
835 .24885419969649845849e-1, -.18368693901908875583e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
836 .81673147806084084638e-2, .47890591326129587131e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
837 -.19313752945227974024e-1, .34065953398362954708e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
838 -.47667045133463415672e-1, .58820377816690514309e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
839 -.66424139824618415970e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
840 .69667606260856092515e-1, -.68102459384364543253e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
841 .61683024923302547971e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
842 -.50771943476441639136e-1, .36110771847327189215e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
843 -.18758028464284563358e-1, 0.0, .18758028464284563358e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
844 -.36110771847327189215e-1, .50771943476441639136e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
845 -.61683024923302547971e-1, .68102459384364543253e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
846 -.69667606260856092515e-1, .66424139824618415970e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
847 -.58820377816690514309e-1, .47667045133463415672e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
848 -.34065953398362954708e-1, .19313752945227974024e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
849 -.47890591326129587131e-2, -.81673147806084084638e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
850 .18368693901908875583e-1, -.24885419969649845849e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
851 .13562702617218467450e-1, .20576545037980523979e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
852 -.40093155172981004337e-1, .36954083167944054826e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
853 -.31856506837591907746e-1, .24996323181546255126e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
854 -.16637165210473614136e-1, .71002706773325085237e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
855 .32478629093205201133e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
856 -.14009562579050569518e-1, .24771262248780618922e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
857 -.35119395835433647559e-1, .44656290368574753171e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
858 -.53015448339647394161e-1, .59875631995693046782e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
859 -.64973208326045193862e-1, .68112280331082143373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
860 -.69172215234062186994e-1, .68112280331082143373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
861 -.64973208326045193862e-1, .59875631995693046782e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
862 -.53015448339647394161e-1, .44656290368574753171e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
863 -.35119395835433647559e-1, .24771262248780618922e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
864 -.14009562579050569518e-1, .32478629093205201133e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
865 .71002706773325085237e-2, -.16637165210473614136e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
866 .24996323181546255126e-1, -.31856506837591907746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
867 .36954083167944054826e-1, -.40093155172981004337e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
868 .20576545037980523979e-1, -.27584914609096156163e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
869 .54904171411058497973e-1, -.54109756419563083153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
870 .52794234894345577483e-1, -.50970276026831042415e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
871 .48655445537990983379e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
872 -.45872036510847994332e-1, .42646854695899611372e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
873 -.39010960357087507670e-1, .34999369144476467749e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
874 -.30650714874402762189e-1, .26006877464703437057e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
875 -.21112579608213651273e-1, .16014956068786763273e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
876 -.10763099747751940252e-1, .54075888924374485533e-2, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
877 -.54075888924374485533e-2, .10763099747751940252e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
878 -.16014956068786763273e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
879 .21112579608213651273e-1, -.26006877464703437057e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
880 .30650714874402762189e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
881 -.34999369144476467749e-1, .39010960357087507670e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
882 -.42646854695899611372e-1, .45872036510847994332e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
883 -.48655445537990983379e-1, .50970276026831042415e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
884 -.52794234894345577483e-1, .54109756419563083153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
885 -.54904171411058497973e-1, .27584914609096156163e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
886 .13794141262469565740e-1, -.27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
887 .27588282524939131481e-1, -.27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
888 .27588282524939131481e-1, -.27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
889 .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
890 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
891 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
892 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
893 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
894 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
895 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
896 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
897 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
898 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
899 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
900 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
901 -.27588282524939131481e-1, .27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
902 -.27588282524939131481e-1, .13794141262469565740e-1 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
903 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
904 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
905 static const double Tleft[33 * 33] = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
906 { |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
907 1., -.86602540378443864678, 0., .33071891388307382381, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
908 -.20728904939721249057, 0., .15128841196122722208, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
909 -.11918864298744029244, 0., .98352013661686631224e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
910 -.83727065404940845733e-1, 0., .72893399403505841203e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
911 -.64544632643375022436e-1, 0., .57913170372415565639e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
912 -.52518242575729562263e-1, 0., .48043311993977520457e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
913 -.44271433659733990243e-1, 0., .41048928022856771981e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
914 -.38263878662008271459e-1, 0., .35832844026365304501e-1, 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
915 .50000000000000000000, -.96824583655185422130, .57282196186948000082, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
916 .21650635094610966169, -.35903516540862679125, -.97578093724974971969e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
917 .26203921611325660506, .55792409597991015609e-1, -.20644078533943456204, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
918 -.36172381205961199479e-1, .17035068468874958194, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
919 .25371838001497225980e-1, -.14501953125000000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
920 -.18786835250972344757e-1, .12625507130328301066, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
921 .14473795929590520582e-1, -.11179458309419422675, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
922 -.11494434254897626155e-1, .10030855351241635862, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
923 .93498556820544479096e-2, -.90964264465390582629e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
924 -.77546391824364392762e-2, .83213457337452292745e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
925 .65358085945588638605e-2, -.76680372422574234569e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
926 -.55835321940047427169e-2, .71098828931825789428e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
927 .48253327982967591019e-2, -.66274981937248958553e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
928 -.42118078245337801387e-2, .62064306433355646267e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
929 .37083386598903548973e-2, 0., 0., .25000000000000000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
930 -.73950997288745200531, .83852549156242113615, -.23175620272173946716, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
931 -.37791833195149451496, .25710129174850522325, .21608307321780204633, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
932 -.22844049245646009157, -.14009503000335388415, .19897685605518413847, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
933 .98264706042471226893e-1, -.17445445004279014046, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
934 -.72761100054958328401e-1, .15463589893742108388, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
935 .56056770591708784481e-1, -.13855313872640495158, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
936 -.44517752443294564781e-1, .12534277657695128850, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
937 .36211835346039665762e-1, -.11434398255136139683, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
938 -.30033588409423828125e-1, .10506705408753910481, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
939 .25313077840725783008e-1, -.97149327637744872155e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
940 -.21624927200393328444e-1, .90319582367202122625e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
941 .18688433567711780666e-1, -.84372291635345108584e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
942 -.16312261561845420752e-1, .79149526894804751586e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
943 .14362333871852474757e-1, 0., 0., 0., .12500000000000000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
944 -.49607837082461073572, .82265291131801144317, -.59621200088559103072, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
945 -.80054302859059362371e-1, .42612156697795759420, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
946 -.90098145270865592887e-1, -.29769623255090078484, .13630307904779758221, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
947 .21638835185708931831, -.14600247270306082052, -.16348801804014290453, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
948 .14340708728599057249, .12755243353979286190, -.13661523715071346961, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
949 -.10215585947881057394, .12864248070157166547, .83592528025348693602e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
950 -.12066728689302565222, -.69633728678718053052e-1, .11314245177331919532, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
951 .58882939251410088028e-1, -.10621835858758221487, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
952 -.50432266865187597572e-1, .99916834723527771581e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
953 .43672094283057258509e-1, -.94206380251950852413e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
954 -.38181356812697746418e-1, .89035739656537771225e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
955 .33661934598216332678e-1, 0., 0., 0., 0., .62500000000000000000e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
956 -.31093357409581873586, .67604086414949799246, -.75644205980613611039, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
957 .28990586430124175741, .30648508196770360914, -.35801372616842500052, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
958 -.91326869828709014708e-1, .31127929687500000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
959 -.90915752838698393094e-2, -.25637381283965534330, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
960 .57601077850322797594e-1, .21019685709225757945, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
961 -.81244992138514014256e-1, -.17375078516720988858, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
962 .92289437277967051125e-1, .14527351914265391374, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
963 -.96675340792832019889e-1, -.12289485697108543415, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
964 .97448175340011084006e-1, .10511755943298339844, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
965 -.96242247086378239657e-1, -.90822942272780513537e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
966 .93966350452322132384e-1, .79189411876493712558e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
967 -.91139307067989309325e-1, -.69613039934383197265e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
968 .88062491671135767870e-1, .61646331729340817494e-1, 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
969 .31250000000000000000e-1, -.18684782411095934408, .50176689760410660236, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
970 -.74784031498626095398, .56472001151566251186, .14842464993721351203e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
971 -.41162920273003120936, .20243071230196532282, .23772054897172750436, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
972 -.24963810923972235950, -.12116179938394678936, .24330535483519110663, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
973 .47903849781124471359e-1, -.22133299683101224293, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
974 -.20542915138527200983e-2, .19653465717678146728, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
975 -.26818172626509178444e-1, -.17319122357631210944, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
976 .45065391411065545445e-1, .15253391395444065941, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
977 -.56543897711725408302e-1, -.13469154928743585367, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
978 .63632471400208840155e-1, .11941684923913523817, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
979 -.67828850207933293098e-1, -.10636309084510652670, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
980 .70095786922999181504e-1, .95187373095150709082e-1, 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
981 0., .15625000000000000000e-1, -.10909562534194485289, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
982 .34842348626527747318, -.64461114561628111443, .69382480527334683659, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
983 -.29551102358528827763, -.25527584713978439819, .38878771718544715394, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
984 -.82956185835347407489e-2, -.31183177761966943912, .12831420840372374767, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
985 .22067618205599434368, -.17569196937129496961, -.14598057000132284135, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
986 .18864406621763419484, .89921002550386645767e-1, -.18571835020187122114, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
987 -.48967672227195481777e-1, .17584685670380332798, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
988 .19267984545067426324e-1, -.16335437520503462738, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
989 .22598055455032407594e-2, .15032800884170631129, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
990 -.17883358353754640871e-1, -.13774837869432209951, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
991 .29227555960587143675e-1, .12604194747513151053, 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
992 0., .78125000000000000000e-2, -.62377810244809812496e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
993 .23080781467370883845, -.50841310636012325368, .69834547012574056043, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
994 -.52572723156526459672, .11464215704954976471e-1, .38698869011491210342, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
995 -.26125646622255207507, -.16951698812361607510, .29773875898928782269, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
996 .20130501202570367491e-1, -.26332493149159310198, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
997 .67734613690401207009e-1, .21207315477103762715, -.11541543390889415193, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
998 -.16249634759782417533, .13885887405041735068, .11996491328010275427, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
999 -.14810432001630926895, -.85177658352556243411e-1, .14918860659904380587, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1000 .57317789510444151564e-1, -.14569827645586660151, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1001 -.35213090145965327390e-1, .13975998126844578198, 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1002 0., 0., .39062500000000000000e-2, -.35101954600803571207e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1003 .14761284084133737720, -.37655033076080192966, .62410290231517322776, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1004 -.64335622317683389875, .28188168266139524244, .22488495672137010675, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1005 -.39393811089283576186, .75184777995770096714e-1, .28472023119398293003, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1006 -.20410910833705899572, -.15590046962908511750, .23814567544617953125, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1007 .54442805556829031204e-1, -.22855930338589720954, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1008 .16303223615756629897e-1, .20172722433875559213, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1009 -.62723406421217419404e-1, -.17012230831020922010, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1010 .91754642766136561612e-1, .13927644821381121197, -.10886600968068418181, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1011 -.11139075654373395292, .11797455976331702879, 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1012 0., 0., .19531250000000000000e-2, -.19506820659607596598e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1013 .91865676095362231937e-1, -.26604607809696493849, .51425874205091288223, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1014 -.66047561132505329292, .48660109511591303851, -.17575661168678285615e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1015 -.36594333408055703366, .29088854695378694533, .11318677346656537927, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1016 -.31110645235730182168, .60733219161008787341e-1, .24333848233620420826, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1017 -.15254312332655419708, -.15995968483455388613, .19010344455215289289, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1018 .86040636766440260000e-1, -.19652589954665259945, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1019 -.27633388517205837713e-1, .18660848552712880387, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1020 -.15942583868416775867e-1, -.16902042462382064786, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1021 .47278526495327740646e-1, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1022 .97656250000000000000e-3, -.10731084460857378207e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1023 .55939644713816406331e-1, -.18118487371914493668, .39914857299829864263, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1024 -.60812322949933902435, .60011887183061967583, -.26002695805835928795, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1025 -.20883922404786010096, .38988130966114638081, -.11797833550782589082, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1026 -.25231824756239520077, .24817859972953934712, .90516417677868996417e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1027 -.26079073291293066798, .30259468817169480161e-1, .22178195264114178432, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1028 -.10569877864302048175, -.16679648389266977455, .14637718550245050850, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1029 .11219272032739559870, -.16359363640525750353, -.64358194509092101393e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1030 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .48828125000000000000e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1031 -.58542865274813470967e-2, .33461741635290096452e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1032 -.11979993155896201271, .29580223766987206958, -.51874761979436016742, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1033 .62861483498014306968, -.44868895761051453296, .12567502628371529386e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1034 .35040366183235474275, -.30466868455569500886, -.70903913601490112666e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1035 .30822791893032512740, -.11969443264190207736, -.20764760317621313946, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1036 .20629838355452128532, .95269702915334718507e-1, -.22432624768705133300, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1037 -.33103381593477797101e-2, .20570036048155716333, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1038 -.62208282720094518964e-1, -.17095309330441436348, 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1039 0., 0., 0., 0., 0., 0., .24414062500000000000e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1040 -.31714797501871532475e-2, .19721062526127334100e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1041 -.77311181185536498246e-1, .21124871792841566575, -.41777980401893650886, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1042 .59401977834943551650, -.56132417807488349048, .23433675061367565951, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1043 .20222775295220942126, -.38280372496506190127, .14443804214023095767, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1044 .22268950939178466797, -.27211314150777981984, -.34184876506180717313e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1045 .26006498895669734842, -.97650425186005090107e-1, -.19024527660129101293, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1046 .16789164198044635671, .10875811641651905252, -.19276785058805921298, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1047 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .12207031250000000000e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1048 -.17078941137247586143e-2, .11477733754843910060e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1049 -.48887017020924625462e-1, .14634927241421789683, -.32156282683019547854, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1050 .52165811920227223937, -.60001958466396926460, .41208501541480733755, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1051 -.11366945503190350975e-2, -.33968093962672089159, .30955190935923386766, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1052 .40657421856578262210e-1, -.29873400409871531764, .16094481791768257440, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1053 .16876122436206497694, -.23650217045022161255, -.33070260090574765012e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1054 .22985258456375907796, -.68645651043827097771e-1, 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1055 0., 0., 0., 0., 0., 0., 0., 0., .61035156250000000000e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1056 -.91501857608428649078e-3, .66085179496951987952e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1057 -.30383171695850355404e-1, .98840838845366876117e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1058 -.23855447246420318989, .43322017468145613917, -.58049033744876107191, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1059 .52533893203742699346, -.20681056202371946180, -.20180000924562504384, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1060 .37503922291962681797, -.15988102869837429062, -.19823558102762374094, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1061 .28393023878803799622, -.11188133439357510403e-1, -.24730368377168229255, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1062 .14731529061377942839, .14878558042884266021, 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1063 0., 0., 0., 0., 0., 0., 0., 0., .30517578125000000000e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1064 -.48804277318479845551e-3, .37696080990601968396e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1065 -.18603912108994738255e-1, .65325006755649582964e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1066 -.17162960707938819795, .34411527956476971322, -.52289350347082497959, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1067 .57319653625674910592, -.37662253421045430413, -.14099055105384663902e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1068 .33265570610216904208, -.30921265572647566661, -.19911390594166455281e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1069 .28738590811031797718, -.18912130469738472647, -.13235936203215819193, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1070 .25076406142356675279, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1071 0., 0., 0., .15258789062500000000e-4, -.25928719280954633249e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1072 .21327398937568540428e-2, -.11244626133630732010e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1073 .42375605740664331966e-1, -.12031130345907846211, .26352562258934426830, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1074 -.44590628258512682078, .56682835613700749379, -.49116715128261660395, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1075 .17845943097110339078, .20541650677432497477, -.36739803642257458221, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1076 .16776034069210108273, .17920950989905112908, -.28867732805385066532, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1077 .46473465543376206337e-1, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1078 0., 0., 0., 0., 0., .76293945312500000000e-5, -.13727610943181290891e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1079 .11979683091449349286e-2, -.67195313034570709806e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1080 .27044920779931968175e-1, -.82472196498517457862e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1081 .19570475044896150093, -.36391620788543817693, .52241392782736588032, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1082 -.54727504974907879912, .34211551468813581183, .31580472732719957762e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1083 -.32830006549176759667, .30563797665254420769, .64905014620683140120e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1084 -.27642986248995073032, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1085 0., 0., 0., 0., 0., 0., .38146972656250000000e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1086 -.72454147007837596854e-4, .66859847582761390285e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1087 -.39751311980366118437e-2, .17015198650201528366e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1088 -.55443621868993855715e-1, .14157060481641692131, -.28641242619559616836, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1089 .45610665490966615415, -.55262786406029265394, .45818352706035500108, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1090 -.14984403004611673047, -.21163807462970713245, .36007252928843413718, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1091 -.17030961385712954159, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1092 0., 0., 0., 0., 0., 0., 0., .19073486328125000000e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1093 -.38135049864067468562e-4, .37101393638555730015e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1094 -.23305339886279723213e-2, .10569913448297127219e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1095 -.36640175162216897547e-1, .10010476414320235508, -.21860074212675559892, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1096 .38124757096345313719, -.52020999209879669177, .52172632730659212045, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1097 -.30841620620308814614, -.50322546186721500184e-1, .32577618885114899053, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1098 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1099 0., 0., .95367431640625000000e-6, -.20021483206955925244e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1100 .20481807322420625431e-3, -.13553476938058909882e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1101 .64919676350791905019e-2, -.23848725425069251903e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1102 .69384632678886421292e-1, -.16249711393618776934, .30736618106830314788, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1103 -.46399909601971539157, .53765031034002467225, -.42598991476520183929, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1104 .12130445348350215652, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1105 0., 0., 0., 0., 0., 0., 0., 0., .47683715820312500000e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1106 -.10487707828484902486e-4, .11254146162337528943e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1107 -.78248929534271987118e-3, .39468337145306794566e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1108 -.15313546659475671763e-1, .47249070825218564146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1109 -.11804374107101480543, .24031796927792491122, -.39629215049166341285, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1110 .51629108968402548545, -.49622372075429782915, 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1111 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1112 .23841857910156250000e-6, -.54823314130625337326e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1113 .61575377321535518154e-4, -.44877834366497538134e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1114 .23774612048621955857e-2, -.97136347645161687796e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1115 .31671599547606636717e-1, -.84028665767000747480e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1116 .18298487576742964949, -.32647878537696945218, .46970971486488895077, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1117 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1118 0., 0., 0., 0., .11920928955078125000e-6, -.28604020001177375838e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1119 .33559227978295551013e-4, -.25583821662860610560e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1120 .14201552747787302339e-2, -.60938046986874414969e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1121 .20930869247951926793e-1, -.58745021125678072911e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1122 .13613725780285953720, -.26083988356030237586, 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1123 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1124 .59604644775390625000e-7, -.14898180663526043291e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1125 .18224991282807693921e-4, -.14504433444608833821e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1126 .84184722720281809548e-3, -.37846965430000478789e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1127 .13656355548211376864e-1, -.40409541997718853934e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1128 .99226988101858325902e-1, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1129 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1130 .29802322387695312500e-7, -.77471708843445529468e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1131 .98649879372606876995e-5, -.81814934772838523887e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1132 .49554483992403011328e-3, -.23290922072351413938e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1133 .88068134250844034186e-2, -.27393666952485719070e-1, 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1134 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1135 0., 0., 0., .14901161193847656250e-7, -.40226235946098233685e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1136 .53236418690561306700e-5, -.45933829691164002269e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1137 .28982005232838857913e-3, -.14212974043211018374e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1138 .56192363087488842264e-2, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1139 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1140 .74505805969238281250e-8, -.20858299254133430408e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1141 .28648457300134381744e-5, -.25677535898258910850e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1142 .16849420429491355445e-3, -.86062824010315834002e-3, 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1143 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1144 0., 0., 0., 0., 0., .37252902984619140625e-8, -.10801736017613096861e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1145 .15376606719887104015e-5, -.14296523739727437959e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1146 .97419023656050887203e-4, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1147 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1148 .18626451492309570312e-8, -.55871592916438890146e-7, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1149 .82331193828137454068e-6, -.79302250528382787666e-5, 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1150 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1151 0., 0., 0., 0., 0., 0., 0., .93132257461547851562e-9, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1152 -.28867244235852488244e-7, .43982811713864556957e-6, 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1153 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1154 0., 0., 0., 0., 0., 0., 0., 0., .46566128730773925781e-9, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1155 -.14899342093408253335e-7, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1156 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1157 0., 0., .23283064365386962891e-9 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1158 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1159 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1160 static const double Tright[33 * 33] = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1161 { |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1162 1., .86602540378443864678, 0., -.33071891388307382381, 0., |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1163 .20728904939721249057, 0., -.15128841196122722208, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1164 .11918864298744029244, 0., -.98352013661686631224e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1165 .83727065404940845733e-1, 0., -.72893399403505841203e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1166 .64544632643375022436e-1, 0., -.57913170372415565639e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1167 .52518242575729562263e-1, 0., -.48043311993977520457e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1168 .44271433659733990243e-1, 0., -.41048928022856771981e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1169 .38263878662008271459e-1, 0., -.35832844026365304501e-1, 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1170 .50000000000000000000, .96824583655185422130, .57282196186948000082, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1171 -.21650635094610966169, -.35903516540862679125, .97578093724974971969e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1172 .26203921611325660506, -.55792409597991015609e-1, -.20644078533943456204, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1173 .36172381205961199479e-1, .17035068468874958194, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1174 -.25371838001497225980e-1, -.14501953125000000000, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1175 .18786835250972344757e-1, .12625507130328301066, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1176 -.14473795929590520582e-1, -.11179458309419422675, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1177 .11494434254897626155e-1, .10030855351241635862, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1178 -.93498556820544479096e-2, -.90964264465390582629e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1179 .77546391824364392762e-2, .83213457337452292745e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1180 -.65358085945588638605e-2, -.76680372422574234569e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1181 .55835321940047427169e-2, .71098828931825789428e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1182 -.48253327982967591019e-2, -.66274981937248958553e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1183 .42118078245337801387e-2, .62064306433355646267e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1184 -.37083386598903548973e-2, 0., 0., .25000000000000000000, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1185 .73950997288745200531, .83852549156242113615, .23175620272173946716, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1186 -.37791833195149451496, -.25710129174850522325, .21608307321780204633, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1187 .22844049245646009157, -.14009503000335388415, -.19897685605518413847, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1188 .98264706042471226893e-1, .17445445004279014046, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1189 -.72761100054958328401e-1, -.15463589893742108388, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1190 .56056770591708784481e-1, .13855313872640495158, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1191 -.44517752443294564781e-1, -.12534277657695128850, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1192 .36211835346039665762e-1, .11434398255136139683, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1193 -.30033588409423828125e-1, -.10506705408753910481, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1194 .25313077840725783008e-1, .97149327637744872155e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1195 -.21624927200393328444e-1, -.90319582367202122625e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1196 .18688433567711780666e-1, .84372291635345108584e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1197 -.16312261561845420752e-1, -.79149526894804751586e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1198 .14362333871852474757e-1, 0., 0., 0., .12500000000000000000, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1199 .49607837082461073572, .82265291131801144317, .59621200088559103072, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1200 -.80054302859059362371e-1, -.42612156697795759420, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1201 -.90098145270865592887e-1, .29769623255090078484, .13630307904779758221, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1202 -.21638835185708931831, -.14600247270306082052, .16348801804014290453, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1203 .14340708728599057249, -.12755243353979286190, -.13661523715071346961, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1204 .10215585947881057394, .12864248070157166547, -.83592528025348693602e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1205 -.12066728689302565222, .69633728678718053052e-1, .11314245177331919532, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1206 -.58882939251410088028e-1, -.10621835858758221487, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1207 .50432266865187597572e-1, .99916834723527771581e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1208 -.43672094283057258509e-1, -.94206380251950852413e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1209 .38181356812697746418e-1, .89035739656537771225e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1210 -.33661934598216332678e-1, 0., 0., 0., 0., .62500000000000000000e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1211 .31093357409581873586, .67604086414949799246, .75644205980613611039, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1212 .28990586430124175741, -.30648508196770360914, -.35801372616842500052, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1213 .91326869828709014708e-1, .31127929687500000000, .90915752838698393094e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1214 -.25637381283965534330, -.57601077850322797594e-1, .21019685709225757945, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1215 .81244992138514014256e-1, -.17375078516720988858, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1216 -.92289437277967051125e-1, .14527351914265391374, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1217 .96675340792832019889e-1, -.12289485697108543415, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1218 -.97448175340011084006e-1, .10511755943298339844, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1219 .96242247086378239657e-1, -.90822942272780513537e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1220 -.93966350452322132384e-1, .79189411876493712558e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1221 .91139307067989309325e-1, -.69613039934383197265e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1222 -.88062491671135767870e-1, .61646331729340817494e-1, 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1223 .31250000000000000000e-1, .18684782411095934408, .50176689760410660236, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1224 .74784031498626095398, .56472001151566251186, -.14842464993721351203e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1225 -.41162920273003120936, -.20243071230196532282, .23772054897172750436, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1226 .24963810923972235950, -.12116179938394678936, -.24330535483519110663, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1227 .47903849781124471359e-1, .22133299683101224293, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1228 -.20542915138527200983e-2, -.19653465717678146728, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1229 -.26818172626509178444e-1, .17319122357631210944, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1230 .45065391411065545445e-1, -.15253391395444065941, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1231 -.56543897711725408302e-1, .13469154928743585367, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1232 .63632471400208840155e-1, -.11941684923913523817, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1233 -.67828850207933293098e-1, .10636309084510652670, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1234 .70095786922999181504e-1, -.95187373095150709082e-1, 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1235 0., .15625000000000000000e-1, .10909562534194485289, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1236 .34842348626527747318, .64461114561628111443, .69382480527334683659, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1237 .29551102358528827763, -.25527584713978439819, -.38878771718544715394, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1238 -.82956185835347407489e-2, .31183177761966943912, .12831420840372374767, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1239 -.22067618205599434368, -.17569196937129496961, .14598057000132284135, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1240 .18864406621763419484, -.89921002550386645767e-1, -.18571835020187122114, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1241 .48967672227195481777e-1, .17584685670380332798, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1242 -.19267984545067426324e-1, -.16335437520503462738, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1243 -.22598055455032407594e-2, .15032800884170631129, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1244 .17883358353754640871e-1, -.13774837869432209951, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1245 -.29227555960587143675e-1, .12604194747513151053, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1246 0., .78125000000000000000e-2, .62377810244809812496e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1247 .23080781467370883845, .50841310636012325368, .69834547012574056043, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1248 .52572723156526459672, .11464215704954976471e-1, -.38698869011491210342, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1249 -.26125646622255207507, .16951698812361607510, .29773875898928782269, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1250 -.20130501202570367491e-1, -.26332493149159310198, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1251 -.67734613690401207009e-1, .21207315477103762715, .11541543390889415193, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1252 -.16249634759782417533, -.13885887405041735068, .11996491328010275427, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1253 .14810432001630926895, -.85177658352556243411e-1, -.14918860659904380587, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1254 .57317789510444151564e-1, .14569827645586660151, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1255 -.35213090145965327390e-1, -.13975998126844578198, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1256 0., 0., .39062500000000000000e-2, .35101954600803571207e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1257 .14761284084133737720, .37655033076080192966, .62410290231517322776, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1258 .64335622317683389875, .28188168266139524244, -.22488495672137010675, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1259 -.39393811089283576186, -.75184777995770096714e-1, .28472023119398293003, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1260 .20410910833705899572, -.15590046962908511750, -.23814567544617953125, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1261 .54442805556829031204e-1, .22855930338589720954, .16303223615756629897e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1262 -.20172722433875559213, -.62723406421217419404e-1, .17012230831020922010, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1263 .91754642766136561612e-1, -.13927644821381121197, -.10886600968068418181, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1264 .11139075654373395292, .11797455976331702879, 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1265 0., 0., .19531250000000000000e-2, .19506820659607596598e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1266 .91865676095362231937e-1, .26604607809696493849, .51425874205091288223, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1267 .66047561132505329292, .48660109511591303851, .17575661168678285615e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1268 -.36594333408055703366, -.29088854695378694533, .11318677346656537927, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1269 .31110645235730182168, .60733219161008787341e-1, -.24333848233620420826, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1270 -.15254312332655419708, .15995968483455388613, .19010344455215289289, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1271 -.86040636766440260000e-1, -.19652589954665259945, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1272 .27633388517205837713e-1, .18660848552712880387, .15942583868416775867e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1273 -.16902042462382064786, -.47278526495327740646e-1, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1274 0., 0., 0., 0., .97656250000000000000e-3, .10731084460857378207e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1275 .55939644713816406331e-1, .18118487371914493668, .39914857299829864263, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1276 .60812322949933902435, .60011887183061967583, .26002695805835928795, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1277 -.20883922404786010096, -.38988130966114638081, -.11797833550782589082, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1278 .25231824756239520077, .24817859972953934712, -.90516417677868996417e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1279 -.26079073291293066798, -.30259468817169480161e-1, .22178195264114178432, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1280 .10569877864302048175, -.16679648389266977455, -.14637718550245050850, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1281 .11219272032739559870, .16359363640525750353, -.64358194509092101393e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1282 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .48828125000000000000e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1283 .58542865274813470967e-2, .33461741635290096452e-1, .11979993155896201271, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1284 .29580223766987206958, .51874761979436016742, .62861483498014306968, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1285 .44868895761051453296, .12567502628371529386e-1, -.35040366183235474275, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1286 -.30466868455569500886, .70903913601490112666e-1, .30822791893032512740, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1287 .11969443264190207736, -.20764760317621313946, -.20629838355452128532, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1288 .95269702915334718507e-1, .22432624768705133300, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1289 -.33103381593477797101e-2, -.20570036048155716333, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1290 -.62208282720094518964e-1, .17095309330441436348, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1291 0., 0., 0., 0., 0., 0., .24414062500000000000e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1292 .31714797501871532475e-2, .19721062526127334100e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1293 .77311181185536498246e-1, .21124871792841566575, .41777980401893650886, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1294 .59401977834943551650, .56132417807488349048, .23433675061367565951, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1295 -.20222775295220942126, -.38280372496506190127, -.14443804214023095767, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1296 .22268950939178466797, .27211314150777981984, -.34184876506180717313e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1297 -.26006498895669734842, -.97650425186005090107e-1, .19024527660129101293, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1298 .16789164198044635671, -.10875811641651905252, -.19276785058805921298, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1299 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .12207031250000000000e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1300 .17078941137247586143e-2, .11477733754843910060e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1301 .48887017020924625462e-1, .14634927241421789683, .32156282683019547854, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1302 .52165811920227223937, .60001958466396926460, .41208501541480733755, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1303 .11366945503190350975e-2, -.33968093962672089159, -.30955190935923386766, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1304 .40657421856578262210e-1, .29873400409871531764, .16094481791768257440, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1305 -.16876122436206497694, -.23650217045022161255, .33070260090574765012e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1306 .22985258456375907796, .68645651043827097771e-1, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1307 0., 0., 0., 0., 0., 0., 0., 0., .61035156250000000000e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1308 .91501857608428649078e-3, .66085179496951987952e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1309 .30383171695850355404e-1, .98840838845366876117e-1, .23855447246420318989, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1310 .43322017468145613917, .58049033744876107191, .52533893203742699346, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1311 .20681056202371946180, -.20180000924562504384, -.37503922291962681797, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1312 -.15988102869837429062, .19823558102762374094, .28393023878803799622, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1313 .11188133439357510403e-1, -.24730368377168229255, -.14731529061377942839, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1314 .14878558042884266021, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1315 0., 0., .30517578125000000000e-4, .48804277318479845551e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1316 .37696080990601968396e-2, .18603912108994738255e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1317 .65325006755649582964e-1, .17162960707938819795, .34411527956476971322, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1318 .52289350347082497959, .57319653625674910592, .37662253421045430413, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1319 -.14099055105384663902e-1, -.33265570610216904208, -.30921265572647566661, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1320 .19911390594166455281e-1, .28738590811031797718, .18912130469738472647, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1321 -.13235936203215819193, -.25076406142356675279, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1322 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .15258789062500000000e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1323 .25928719280954633249e-3, .21327398937568540428e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1324 .11244626133630732010e-1, .42375605740664331966e-1, .12031130345907846211, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1325 .26352562258934426830, .44590628258512682078, .56682835613700749379, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1326 .49116715128261660395, .17845943097110339078, -.20541650677432497477, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1327 -.36739803642257458221, -.16776034069210108273, .17920950989905112908, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1328 .28867732805385066532, .46473465543376206337e-1, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1329 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .76293945312500000000e-5, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1330 .13727610943181290891e-3, .11979683091449349286e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1331 .67195313034570709806e-2, .27044920779931968175e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1332 .82472196498517457862e-1, .19570475044896150093, .36391620788543817693, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1333 .52241392782736588032, .54727504974907879912, .34211551468813581183, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1334 -.31580472732719957762e-1, -.32830006549176759667, -.30563797665254420769, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1335 .64905014620683140120e-2, .27642986248995073032, 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1336 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .38146972656250000000e-5, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1337 .72454147007837596854e-4, .66859847582761390285e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1338 .39751311980366118437e-2, .17015198650201528366e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1339 .55443621868993855715e-1, .14157060481641692131, .28641242619559616836, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1340 .45610665490966615415, .55262786406029265394, .45818352706035500108, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1341 .14984403004611673047, -.21163807462970713245, -.36007252928843413718, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1342 -.17030961385712954159, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1343 0., 0., 0., 0., 0., 0., 0., .19073486328125000000e-5, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1344 .38135049864067468562e-4, .37101393638555730015e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1345 .23305339886279723213e-2, .10569913448297127219e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1346 .36640175162216897547e-1, .10010476414320235508, .21860074212675559892, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1347 .38124757096345313719, .52020999209879669177, .52172632730659212045, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1348 .30841620620308814614, -.50322546186721500184e-1, -.32577618885114899053, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
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175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1350 0., 0., .95367431640625000000e-6, .20021483206955925244e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1351 .20481807322420625431e-3, .13553476938058909882e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1352 .64919676350791905019e-2, .23848725425069251903e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1353 .69384632678886421292e-1, .16249711393618776934, .30736618106830314788, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1354 .46399909601971539157, .53765031034002467225, .42598991476520183929, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1355 .12130445348350215652, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1356 0., 0., 0., 0., 0., 0., 0., 0., .47683715820312500000e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1357 .10487707828484902486e-4, .11254146162337528943e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1358 .78248929534271987118e-3, .39468337145306794566e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1359 .15313546659475671763e-1, .47249070825218564146e-1, .11804374107101480543, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1360 .24031796927792491122, .39629215049166341285, .51629108968402548545, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1361 .49622372075429782915, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1362 0., 0., 0., 0., 0., 0., 0., 0., 0., .23841857910156250000e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1363 .54823314130625337326e-5, .61575377321535518154e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1364 .44877834366497538134e-3, .23774612048621955857e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1365 .97136347645161687796e-2, .31671599547606636717e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1366 .84028665767000747480e-1, .18298487576742964949, .32647878537696945218, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1367 .46970971486488895077, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1368 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .11920928955078125000e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1369 .28604020001177375838e-5, .33559227978295551013e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1370 .25583821662860610560e-3, .14201552747787302339e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1371 .60938046986874414969e-2, .20930869247951926793e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1372 .58745021125678072911e-1, .13613725780285953720, .26083988356030237586, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1373 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1374 0., 0., 0., 0., 0., 0., .59604644775390625000e-7, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1375 .14898180663526043291e-5, .18224991282807693921e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1376 .14504433444608833821e-3, .84184722720281809548e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1377 .37846965430000478789e-2, .13656355548211376864e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1378 .40409541997718853934e-1, .99226988101858325902e-1, 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1379 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1380 0., 0., .29802322387695312500e-7, .77471708843445529468e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1381 .98649879372606876995e-5, .81814934772838523887e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1382 .49554483992403011328e-3, .23290922072351413938e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1383 .88068134250844034186e-2, .27393666952485719070e-1, 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1384 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1385 0., 0., 0., .14901161193847656250e-7, .40226235946098233685e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1386 .53236418690561306700e-5, .45933829691164002269e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1387 .28982005232838857913e-3, .14212974043211018374e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1388 .56192363087488842264e-2, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1389 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1390 .74505805969238281250e-8, .20858299254133430408e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1391 .28648457300134381744e-5, .25677535898258910850e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1392 .16849420429491355445e-3, .86062824010315834002e-3, 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1393 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1394 0., 0., 0., 0., 0., .37252902984619140625e-8, .10801736017613096861e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1395 .15376606719887104015e-5, .14296523739727437959e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1396 .97419023656050887203e-4, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1397 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1398 .18626451492309570312e-8, .55871592916438890146e-7, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1399 .82331193828137454068e-6, .79302250528382787666e-5, 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1400 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1401 0., 0., 0., 0., 0., 0., 0., .93132257461547851562e-9, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1402 .28867244235852488244e-7, .43982811713864556957e-6, 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1403 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1404 0., 0., 0., 0., 0., 0., 0., 0., .46566128730773925781e-9, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1405 .14899342093408253335e-7, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1406 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1407 0., 0., .23283064365386962891e-9 |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1408 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1409 |
20910 | 1410 // Allocates a workspace for the given maximum number of intervals. |
1411 // Note that if the workspace gets filled, the intervals with the lowest | |
21751
b571fc85953f
maint: Use two spaces after period to indicate sentence break.
Rik <rik@octave.org>
parents:
21724
diff
changeset
|
1412 // error estimates are dropped. The maximum number of intervals is |
20910 | 1413 // therefore not the maximum number of intervals that will be computed, |
1414 // but merely the size of the buffer. | |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1415 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1416 // Compute the product of fx with one of the inverse Vandermonde-like matrices. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1417 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1418 static void |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1419 Vinvfx (const double *fx, double *c, const int d) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1420 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1421 int i, j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1422 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1423 switch (d) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1424 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1425 case 0: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1426 for (i = 0; i <= 4; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1427 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1428 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1429 for (j = 0; j <= 4; j++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1430 c[i] += V1inv[i*5 + j] * fx[j * 8]; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1431 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1432 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1433 case 1: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1434 for (i = 0; i <= 8; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1435 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1436 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1437 for (j = 0; j <= 8; j++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1438 c[i] += V2inv[i*9 + j] * fx[j * 4]; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1439 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1440 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1441 case 2: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1442 for (i = 0; i <= 16; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1443 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1444 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1445 for (j = 0; j <= 16; j++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1446 c[i] += V3inv[i*17 + j] * fx[j * 2]; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1447 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1448 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1449 case 3: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1450 for (i = 0; i <= 32; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1451 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1452 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1453 for (j = 0; j <= 32; j++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1454 c[i] += V4inv[i*33 + j] * fx[j]; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1455 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1456 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1457 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1458 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1459 |
20910 | 1460 // Downdate the interpolation given by the N coefficients C by removing |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1461 // the nodes with indices in NaNs. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1462 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1463 static void |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1464 downdate (double *c, int n, int d, int *nans, int nnans) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1465 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1466 static const int bidx[4] = { 0, 6, 16, 34 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1467 double b_new[34], alpha; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1468 int i, j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1469 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1470 for (i = 0; i <= n + 1; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1471 b_new[i] = bee[bidx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1472 for (i = 0; i < nnans; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1473 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1474 b_new[n + 1] = b_new[n + 1] / Lalpha[n]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1475 b_new[n] = (b_new[n] + xi[nans[i]] * b_new[n + 1]) / Lalpha[n - 1]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1476 for (j = n - 1; j > 0; j--) |
27277
db687716fed6
style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents:
26864
diff
changeset
|
1477 b_new[j] = (b_new[j] + xi[nans[i]] * b_new[j + 1] |
db687716fed6
style fixes: generally aim to break long lines before operators, not after
John W. Eaton <jwe@octave.org>
parents:
26864
diff
changeset
|
1478 - Lgamma[j + 1] * b_new[j + 2]) / Lalpha[j - 1]; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1479 for (j = 0; j <= n; j++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1480 b_new[j] = b_new[j + 1]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1481 alpha = c[n] / b_new[n]; |
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1482 for (j = 0; j < n; j++) |
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1483 c[j] -= alpha * b_new[j]; |
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1484 c[n] = 0; |
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|
1485 n--; |
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|
1486 } |
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|
1487 } |
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|
1488 |
20910 | 1489 // The actual integration routine. |
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1490 |
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1491 DEFMETHOD (quadcc, interp, args, , |
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1492 doc: /* -*- texinfo -*- |
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1493 @deftypefn {} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}) |
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1494 @deftypefnx {} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}, @var{tol}) |
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1495 @deftypefnx {} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing}) |
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1496 @deftypefnx {} {[@var{q}, @var{err}, @var{nr_points}] =} quadcc (@dots{}) |
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1497 Numerically evaluate the integral of @var{f} from @var{a} to @var{b} using |
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1498 doubly-adaptive @nospell{Clenshaw-Curtis} quadrature. |
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1499 |
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1500 @var{f} is a function handle, inline function, or string containing the name |
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1501 of the function to evaluate. The function @var{f} must be vectorized and |
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1502 must return a vector of output values if given a vector of input values. |
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1503 For example, |
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1504 |
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1505 @example |
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1506 f = @@(x) x .* sin (1./x) .* sqrt (abs (1 - x)); |
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1507 @end example |
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1508 |
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1509 @noindent |
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1510 which uses the element-by-element ``dot'' form for all operators. |
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1511 |
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1512 @var{a} and @var{b} are the lower and upper limits of integration. Either or |
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1513 both limits may be infinite. @code{quadcc} handles an infinite limit by |
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1514 substituting the variable of integration with @code{x = tan (pi/2*u)}. |
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1515 |
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1516 The optional argument @var{tol} is a 1- or 2-element vector that specifies the |
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1517 desired accuracy of the result. The first element of the vector is the desired |
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1518 absolute tolerance, and the second element is the desired relative tolerance. |
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1519 To choose a relative test only, set the absolute tolerance to zero. To choose |
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1520 an absolute test only, set the relative tolerance to zero. The default |
24546 | 1521 absolute tolerance is 1e-10 (1e-5 for single), and the default relative |
1522 tolerance is 1e-6 (1e-4 for single). | |
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1523 |
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1524 The optional argument @var{sing} contains a list of points where the integrand |
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1525 has known singularities, or discontinuities in any of its derivatives, inside |
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|
1526 the integration interval. For the example above, which has a discontinuity at |
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1527 x=1, the call to @code{quadcc} would be as follows |
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1528 |
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|
1529 @example |
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1530 int = quadcc (f, a, b, [], [ 1 ]); |
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1531 @end example |
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1532 |
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1533 The result of the integration is returned in @var{q}. |
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1534 |
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1535 @var{err} is an estimate of the absolute integration error. |
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1536 |
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1537 @var{nr_points} is the number of points at which the integrand was evaluated. |
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1538 |
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|
1539 If the adaptive integration did not converge, the value of @var{err} will be |
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1540 larger than the requested tolerance. Therefore, it is recommended to verify |
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1541 this value for difficult integrands. |
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1542 |
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|
1543 @code{quadcc} is capable of dealing with non-numeric values of the integrand |
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1544 such as @code{NaN} or @code{Inf}. If the integral diverges, and @code{quadcc} |
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|
1545 detects this, then a warning is issued and @code{Inf} or @code{-Inf} is |
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|
1546 returned. |
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|
1547 |
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1548 Note: @code{quadcc} is a general purpose quadrature algorithm and, as such, |
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1549 may be less efficient for a smooth or otherwise well-behaved integrand than |
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1550 other methods such as @code{quadgk}. |
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|
1551 |
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1552 The algorithm uses @nospell{Clenshaw-Curtis} quadrature rules of increasing |
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1553 degree in each interval and bisects the interval if either the function does |
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1554 not appear to be smooth or a rule of maximum degree has been reached. The |
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|
1555 error estimate is computed from the L2-norm of the difference between two |
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1556 successive interpolations of the integrand over the nodes of the respective |
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1557 quadrature rules. |
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1558 |
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|
1559 Reference: @nospell{P. Gonnet}, @cite{Increasing the Reliability of Adaptive |
25003
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Rik <rik@octave.org>
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|
1560 Quadrature Using Explicit Interpolants}, @nospell{ACM} Transactions on |
27800
5a6a19a4e3da
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Rik <rik@octave.org>
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|
1561 Mathematical Software, Vol.@: 37, Issue 3, Article No.@: 3, 2010. |
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1562 @seealso{quad, quadv, quadl, quadgk, trapz, dblquad, triplequad} |
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1563 @end deftypefn */) |
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|
1564 { |
20910 | 1565 // Some constants that we will need. |
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|
1566 static const int n[4] = { 4, 8, 16, 32 }; |
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1567 static const int skip[4] = { 8, 4, 2, 1 }; |
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1568 static const int idx[4] = { 0, 5, 14, 31 }; |
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|
1569 static const double w = M_SQRT2 / 2; |
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1570 static const int ndiv_max = 20; |
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|
1571 |
20910 | 1572 // Arguments left and right. |
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|
1573 int nargin = args.length (); |
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|
1574 octave_value fcn; |
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1575 double a, b, abstol, reltol, *sing; |
24157
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1576 bool issingle; |
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1577 |
20910 | 1578 // Variables needed for transforming the integrand. |
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1579 bool wrap = false; |
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|
1580 double xw; |
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|
1581 |
20910 | 1582 // Stuff we will need to call the integrand. |
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1583 octave_value_list fargs, fvals; |
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1584 |
20910 | 1585 // Actual variables (as opposed to constants above). |
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1586 double m, h, ml, hl, mr, hr, temp; |
13219
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|
1587 double igral, err, igral_final, err_final; |
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1588 int nivals; |
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1589 int neval = 0; |
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1590 int i, j, d, split; |
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|
1591 int nnans, nans[33]; |
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|
1592 cquad_ival *iv, *ivl, *ivr; |
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1593 double nc, ncdiff; |
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|
1594 |
20910 | 1595 // Parse the input arguments. |
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|
1596 if (nargin < 3) |
20801
a542a9bf177e
eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents:
20232
diff
changeset
|
1597 print_usage (); |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1598 |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1599 fcn = get_function_handle (interp, args(0), "x"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1600 |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1601 if (! args(1).is_real_scalar ()) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1602 error ("quadcc: lower limit of integration (A) must be a real scalar"); |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1603 a = args(1).double_value (); |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1604 issingle = args(1).is_single_type (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1605 |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1606 if (! args(2).is_real_scalar ()) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1607 error ("quadcc: upper limit of integration (B) must be a real scalar"); |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1608 b = args(2).double_value (); |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1609 issingle = (issingle || args(2).is_single_type ()); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1610 |
23577
80c42f4cca13
maint: Deprecate is_empty and replace with isempty.
Rik <rik@octave.org>
parents:
23564
diff
changeset
|
1611 if (nargin < 4 || args(3).isempty ()) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1612 { |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1613 if (issingle) |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1614 { |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1615 abstol = 1.0e-5; |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1616 reltol = 1.0e-4; |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1617 } |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1618 else |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1619 { |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1620 abstol = 1.0e-10; |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1621 reltol = 1.0e-6; |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1622 } |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1623 } |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1624 else if (! args(3).isnumeric () || args(3).numel () > 2) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1625 error ("quadcc: TOL must be a 1- or 2-element vector [AbsTol, RelTol]"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1626 else |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1627 { |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1628 NDArray tol = args(3).array_value (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1629 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1630 abstol = tol(0); |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1631 if (abstol < 0) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1632 error ("quadcc: absolute tolerance must be >=0"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1633 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1634 if (tol.numel () == 1) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1635 { |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1636 if (issingle) |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1637 reltol = 1.0e-4; |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1638 else |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1639 reltol = 1.0e-6; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1640 } |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1641 else |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1642 { |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1643 reltol = tol(1); |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1644 if (reltol < 0) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1645 error ("quadcc: relative tolerance must be >=0"); |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1646 } |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1647 } |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1648 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1649 if (nargin < 5) |
20910 | 1650 nivals = 1; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1651 else if (! (args(4).is_real_scalar () || args(4).is_real_matrix ())) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1652 error ("quadcc: list of singularities (SING) must be a vector of real values"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1653 else |
20910 | 1654 nivals = 1 + args(4).numel (); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1655 |
21213
f7d1050b9b53
maint: Clean up various usages of #ifdef.
Rik <rik@octave.org>
parents:
21200
diff
changeset
|
1656 int cquad_heapsize = (nivals >= MIN_CQUAD_HEAPSIZE ? nivals + 1 |
f7d1050b9b53
maint: Clean up various usages of #ifdef.
Rik <rik@octave.org>
parents:
21200
diff
changeset
|
1657 : MIN_CQUAD_HEAPSIZE); |
20910 | 1658 // The interval heap. |
15996
1aff8c38c53c
use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents:
15995
diff
changeset
|
1659 OCTAVE_LOCAL_BUFFER (cquad_ival, ivals, cquad_heapsize); |
1aff8c38c53c
use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents:
15995
diff
changeset
|
1660 OCTAVE_LOCAL_BUFFER (double, iivals, cquad_heapsize); |
1aff8c38c53c
use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents:
15995
diff
changeset
|
1661 OCTAVE_LOCAL_BUFFER (int, heap, cquad_heapsize); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1662 |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1663 if (nivals == 1) |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1664 { |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1665 iivals[0] = a; |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1666 iivals[1] = b; |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1667 } |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1668 else |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1669 { |
20910 | 1670 // Intervals around singularities. |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1671 sing = args(4).array_value ().fortran_vec (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1672 iivals[0] = a; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1673 std::copy_n (sing, nivals-1, iivals+1); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1674 iivals[nivals] = b; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1675 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1676 |
20910 | 1677 // If a or b are +/-Inf, transform the integral. |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1678 if (math::isinf (a) || math::isinf (b)) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1679 { |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1680 wrap = true; |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1681 for (i = 0; i < nivals + 1; i++) |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1682 if (math::isinf (iivals[i])) |
21942
aab79a1885cc
limit gnulib headers to liboctave/wrappers directory
John W. Eaton <jwe@octave.org>
parents:
21782
diff
changeset
|
1683 iivals[i] = std::copysign (1.0, iivals[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1684 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1685 iivals[i] = 2.0 * atan (iivals[i]) / M_PI; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1686 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1687 |
20910 | 1688 // Initialize the heaps. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1689 for (i = 0; i < cquad_heapsize; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1690 heap[i] = i; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1691 |
20910 | 1692 // Create the first interval(s). |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1693 igral = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1694 err = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1695 for (j = 0; j < nivals; j++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1696 { |
20910 | 1697 // Initialize the interval. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1698 iv = &(ivals[heap[j]]); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1699 m = (iivals[j] + iivals[j + 1]) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1700 h = (iivals[j + 1] - iivals[j]) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1701 nnans = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1702 ColumnVector ex (33); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1703 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1704 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1705 for (i = 0; i <= n[3]; i++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1706 ex(i) = tan (M_PI/2 * (m + xi[i]*h)); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1707 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1708 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1709 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1710 for (i = 0; i <= n[3]; i++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1711 ex(i) = m + xi[i]*h; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1712 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1713 fargs(0) = ex; |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1714 fvals = feval (fcn, fargs, 1); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1715 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1716 error ("quadcc: integrand F must return a single, real-valued vector"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1717 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1718 Matrix effex = fvals(0).matrix_value (); |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
1719 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1720 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1721 |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1722 for (i = 0; i <= n[3]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1723 { |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1724 iv->fx[i] = effex(i); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1725 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1726 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1727 xw = ex(i); |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1728 iv->fx[i] *= (1.0 + xw*xw) * M_PI/2; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1729 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1730 neval++; |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1731 if (! math::isfinite (iv->fx[i])) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1732 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1733 nans[nnans++] = i; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1734 iv->fx[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1735 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1736 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1737 Vinvfx (iv->fx, &(iv->c[idx[3]]), 3); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1738 Vinvfx (iv->fx, &(iv->c[idx[2]]), 2); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1739 Vinvfx (iv->fx, &(iv->c[0]), 0); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1740 for (i = 0; i < nnans; i++) |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1741 iv->fx[nans[i]] = numeric_limits<double>::NaN (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1742 iv->a = iivals[j]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1743 iv->b = iivals[j + 1]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1744 iv->depth = 3; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1745 iv->rdepth = 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1746 iv->ndiv = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1747 iv->igral = 2 * h * iv->c[idx[3]] * w; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1748 nc = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1749 for (i = n[2] + 1; i <= n[3]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1750 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1751 temp = iv->c[idx[3] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1752 nc += temp * temp; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1753 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1754 ncdiff = nc; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1755 for (i = 0; i <= n[2]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1756 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1757 temp = iv->c[idx[2] + i] - iv->c[idx[3] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1758 ncdiff += temp * temp; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1759 temp = iv->c[idx[3] + i]; |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1760 nc += temp * temp; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1761 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1762 ncdiff = sqrt (ncdiff); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1763 nc = sqrt (nc); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1764 iv->err = ncdiff * 2 * h; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1765 if (ncdiff / nc > 0.1 && iv->err < 2 * h * nc) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1766 iv->err = 2 * h * nc; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1767 |
20910 | 1768 // Tabulate this interval's data. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1769 igral += iv->igral; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1770 err += iv->err; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1771 |
20910 | 1772 // Sift it up the heap. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1773 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1774 while (i > 0 && ivals[heap[i / 2]].err < ivals[heap[i]].err) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1775 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1776 std::swap (heap[i], heap[i / 2]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1777 i /= 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1778 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1779 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1780 |
20910 | 1781 // Initialize some global values. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1782 igral_final = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1783 err_final = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1784 |
20910 | 1785 // Main loop. |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1786 while (nivals > 0 |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1787 && err > std::max (abstol, fabs (igral) * reltol) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1788 && ! (err_final > std::max (abstol, fabs (igral) * reltol) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1789 && err - err_final < std::max (abstol, fabs (igral) * reltol))) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1790 { |
20910 | 1791 // Allow the user to interrupt. |
22860
0b1e25cc4457
eliminate use of OCTAVE_QUIT macro in C++ sources
John W. Eaton <jwe@octave.org>
parents:
22755
diff
changeset
|
1792 octave_quit (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1793 |
20910 | 1794 // Put our finger on the interval with the largest error. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1795 iv = &(ivals[heap[0]]); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1796 m = (iv->a + iv->b) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1797 h = (iv->b - iv->a) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1798 |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1799 #if (DEBUG_QUADCC) |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1800 printf ("quadcc: processing ival %i (of %i) with [%e,%e] int=%e, err=%e, depth=%i\n", |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1801 heap[0], nivals, iv->a, iv->b, iv->igral, iv->err, iv->depth); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1802 #endif |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1803 |
20910 | 1804 // Should we try to increase the degree? |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1805 if (iv->depth < 3) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1806 { |
20910 | 1807 // Keep tabs on some variables. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1808 d = ++iv->depth; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1809 |
20910 | 1810 // Get the new (missing) function values. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1811 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1812 ColumnVector ex (n[d] / 2); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1813 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1814 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1815 for (i = 0; i < n[d] / 2; i++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1816 ex(i) = tan (M_PI/2 * (m + xi[(2*i + 1) * skip[d]] * h)); |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1817 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1818 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1819 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1820 for (i = 0; i < n[d] / 2; i++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1821 ex(i) = m + xi[(2*i + 1) * skip[d]] * h; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1822 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1823 fargs(0) = ex; |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1824 fvals = feval (fcn, fargs, 1); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1825 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1826 error ("quadcc: integrand F must return a single, real-valued vector"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1827 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1828 Matrix effex = fvals(0).matrix_value (); |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
1829 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1830 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1831 |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
1832 neval += effex.numel (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1833 for (i = 0; i < n[d] / 2; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1834 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1835 j = (2*i + 1) * skip[d]; |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1836 iv->fx[j] = effex(i); |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1837 if (wrap) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1838 { |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1839 xw = ex(i); |
24098
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Rik <rik@octave.org>
parents:
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|
1840 iv->fx[j] *= (1.0 + xw*xw) * M_PI/2; |
10944
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parents:
diff
changeset
|
1841 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1842 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1843 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1844 nnans = 0; |
a7655cdba470
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parents:
diff
changeset
|
1845 for (i = 0; i <= 32; i += skip[d]) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1846 { |
29961
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John W. Eaton <jwe@octave.org>
parents:
29958
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|
1847 if (! math::isfinite (iv->fx[i])) |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1848 { |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1849 nans[nnans++] = i; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1850 iv->fx[i] = 0.0; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1851 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1852 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1853 |
20910 | 1854 // Compute the new coefficients. |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1855 Vinvfx (iv->fx, &(iv->c[idx[d]]), d); |
20910 | 1856 // Downdate any NaNs. |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1857 if (nnans > 0) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1858 { |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1859 downdate (&(iv->c[idx[d]]), n[d], d, nans, nnans); |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1860 for (i = 0; i < nnans; i++) |
29961
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John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1861 iv->fx[nans[i]] = numeric_limits<double>::NaN (); |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1862 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1863 |
20910 | 1864 // Compute the error estimate. |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1865 nc = 0.0; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1866 for (i = n[d - 1] + 1; i <= n[d]; i++) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1867 { |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1868 temp = iv->c[idx[d] + i]; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1869 nc += temp * temp; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1870 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1871 ncdiff = nc; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1872 for (i = 0; i <= n[d - 1]; i++) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1873 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1874 temp = iv->c[idx[d - 1] + i] - iv->c[idx[d] + i]; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1875 ncdiff += temp * temp; |
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Rik <rik@octave.org>
parents:
23577
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|
1876 temp = iv->c[idx[d] + i]; |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1877 nc += temp * temp; |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1878 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1879 ncdiff = sqrt (ncdiff); |
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parents:
diff
changeset
|
1880 nc = sqrt (nc); |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1881 iv->err = ncdiff * 2 * h; |
20910 | 1882 // Compute the local integral. |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1883 iv->igral = 2 * h * w * iv->c[idx[d]]; |
20910 | 1884 // Split the interval prematurely? |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1885 split = (nc > 0 && ncdiff / nc > 0.1); |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1886 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1887 else |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1888 { |
20910 | 1889 // Maximum degree reached, just split. |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1890 split = 1; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1891 } |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1892 |
20910 | 1893 // Should we drop this interval? |
24098
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Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1894 if ((m + h*xi[0]) >= (m + h*xi[1]) |
71dad5be765a
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Rik <rik@octave.org>
parents:
23577
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changeset
|
1895 || (m + h*xi[31]) >= (m + h*xi[32]) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
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changeset
|
1896 || iv->err < fabs (iv->igral) * DROP_RELTOL) |
10944
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parents:
diff
changeset
|
1897 { |
15995
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Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1898 #if (DEBUG_QUADCC) |
17787
175b392e91fe
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Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1899 printf ("quadcc: dropping ival %i (of %i) with [%e,%e] int=%e, err=%e, depth=%i\n", |
175b392e91fe
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Rik <rik@octave.org>
parents:
17744
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|
1900 heap[0], nivals, iv->a, iv->b, iv->igral, iv->err, iv->depth); |
15995
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Rik <rik@octave.org>
parents:
15994
diff
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|
1901 #endif |
906ae1705522
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Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1902 |
20910 | 1903 // Keep this interval's contribution. |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1904 err_final += iv->err; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1905 igral_final += iv->igral; |
20910 | 1906 // Swap with the last element on the heap. |
24098
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Rik <rik@octave.org>
parents:
23577
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changeset
|
1907 std::swap (heap[nivals - 1], heap[0]); |
10944
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parents:
diff
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|
1908 nivals--; |
20910 | 1909 // Fix up the heap. |
10944
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parents:
diff
changeset
|
1910 i = 0; |
24098
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Rik <rik@octave.org>
parents:
23577
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changeset
|
1911 while (2*i + 1 < nivals) |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1912 { |
20910 | 1913 // Get the kids. |
24098
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Rik <rik@octave.org>
parents:
23577
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changeset
|
1914 j = 2*i + 1; |
20910 | 1915 // If the j+1st entry exists and is larger than the jth, |
1916 // use it instead. | |
10944
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parents:
diff
changeset
|
1917 if (j + 1 < nivals |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1918 && ivals[heap[j + 1]].err >= ivals[heap[j]].err) |
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parents:
diff
changeset
|
1919 j++; |
20910 | 1920 // Do we need to move the ith entry up? |
10944
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parents:
diff
changeset
|
1921 if (ivals[heap[j]].err <= ivals[heap[i]].err) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1922 break; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1923 else |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1924 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1925 std::swap (heap[j], heap[i]); |
10944
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parents:
diff
changeset
|
1926 i = j; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1927 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1928 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1929 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1930 else if (split) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1931 { |
20910 | 1932 // Some values we will need often... |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1933 d = iv->depth; |
20910 | 1934 // Generate the interval on the left. |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1935 ivl = &(ivals[heap[nivals++]]); |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1936 ivl->a = iv->a; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1937 ivl->b = m; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1938 ml = (ivl->a + ivl->b) / 2; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1939 hl = h / 2; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1940 ivl->depth = 0; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1941 ivl->rdepth = iv->rdepth + 1; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1942 ivl->fx[0] = iv->fx[0]; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1943 ivl->fx[32] = iv->fx[16]; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1944 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1945 ColumnVector ex (n[0] - 1); |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1946 if (wrap) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1947 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1948 for (i = 0; i < n[0] - 1; i++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1949 ex(i) = tan (M_PI/2 * (ml + xi[(i + 1) * skip[0]] * hl)); |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1950 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1951 else |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1952 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1953 for (i = 0; i < n[0] - 1; i++) |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1954 ex(i) = ml + xi[(i + 1) * skip[0]] * hl; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1955 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1956 fargs(0) = ex; |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
1957 fvals = feval (fcn, fargs, 1); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1958 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1959 error ("quadcc: integrand F must return a single, real-valued vector"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1960 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1961 Matrix effex = fvals(0).matrix_value (); |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
1962 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1963 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1964 |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
1965 neval += effex.numel (); |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
1966 for (i = 0; i < n[0] - 1; i++) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1967 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1968 j = (i + 1) * skip[0]; |
15995
906ae1705522
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Rik <rik@octave.org>
parents:
15994
diff
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|
1969 ivl->fx[j] = effex(i); |
10944
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parents:
diff
changeset
|
1970 if (wrap) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1971 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1972 xw = ex(i); |
24098
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Rik <rik@octave.org>
parents:
23577
diff
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|
1973 ivl->fx[j] *= (1.0 + xw*xw) * M_PI/2; |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1974 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1975 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1976 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1977 nnans = 0; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1978 for (i = 0; i <= 32; i += skip[0]) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1979 { |
29961
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parents:
29958
diff
changeset
|
1980 if (! math::isfinite (ivl->fx[i])) |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1981 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1982 nans[nnans++] = i; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1983 ivl->fx[i] = 0.0; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1984 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1985 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1986 Vinvfx (ivl->fx, ivl->c, 0); |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1987 if (nnans > 0) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1988 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1989 downdate (ivl->c, n[0], 0, nans, nnans); |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1990 for (i = 0; i < nnans; i++) |
29961
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parents:
29958
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|
1991 ivl->fx[nans[i]] = numeric_limits<double>::NaN (); |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1992 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1993 for (i = 0; i <= n[d]; i++) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1994 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1995 ivl->c[idx[d] + i] = 0.0; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1996 for (j = i; j <= n[d]; j++) |
24098
71dad5be765a
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Rik <rik@octave.org>
parents:
23577
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|
1997 ivl->c[idx[d] + i] += Tleft[i*33 + j] * iv->c[idx[d] + j]; |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1998 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1999 ncdiff = 0.0; |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2000 for (i = 0; i <= n[0]; i++) |
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2001 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2002 temp = ivl->c[i] - ivl->c[idx[d] + i]; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2003 ncdiff += temp * temp; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2004 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2005 for (i = n[0] + 1; i <= n[d]; i++) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2006 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2007 temp = ivl->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2008 ncdiff += temp * temp; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2009 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2010 ncdiff = sqrt (ncdiff); |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2011 ivl->err = ncdiff * h; |
20910 | 2012 // Check for divergence. |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2013 ivl->ndiv = iv->ndiv + (fabs (iv->c[0]) > 0 |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2014 && ivl->c[0] / iv->c[0] > 2); |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2015 if (ivl->ndiv > ndiv_max && 2*ivl->ndiv > ivl->rdepth) |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2016 { |
29961
7d6709900da7
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John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
2017 igral = std::copysign (numeric_limits<double>::Inf (), igral); |
11590
4ced6b90fffb
style fixes for warning and error messages in source files
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
2018 warning ("quadcc: divergent integral detected"); |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2019 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2020 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2021 |
20910 | 2022 // Compute the local integral. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2023 ivl->igral = h * w * ivl->c[0]; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11572
diff
changeset
|
2024 |
20910 | 2025 // Generate the interval on the right. |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2026 ivr = &(ivals[heap[nivals++]]); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2027 ivr->a = m; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2028 ivr->b = iv->b; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2029 mr = (ivr->a + ivr->b) / 2; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2030 hr = h / 2; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2031 ivr->depth = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2032 ivr->rdepth = iv->rdepth + 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2033 ivr->fx[0] = iv->fx[16]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2034 ivr->fx[32] = iv->fx[32]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2035 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2036 ColumnVector ex (n[0] - 1); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2037 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2038 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2039 for (i = 0; i < n[0] - 1; i++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2040 ex(i) = tan (M_PI/2 * (mr + xi[(i + 1) * skip[0]] * hr)); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2041 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2042 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2043 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2044 for (i = 0; i < n[0] - 1; i++) |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2045 ex(i) = mr + xi[(i + 1) * skip[0]] * hr; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2046 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2047 fargs(0) = ex; |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
2048 fvals = feval (fcn, fargs, 1); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2049 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
2050 error ("quadcc: integrand F must return a single, real-valued vector"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
2051 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2052 Matrix effex = fvals(0).matrix_value (); |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
2053 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
2054 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input"); |
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
2055 |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
2056 neval += effex.numel (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2057 for (i = 0; i < n[0] - 1; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2058 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2059 j = (i + 1) * skip[0]; |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2060 ivr->fx[j] = effex(i); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2061 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2062 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2063 xw = ex(i); |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2064 ivr->fx[j] *= (1.0 + xw*xw) * M_PI/2; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2065 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2066 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2067 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2068 nnans = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2069 for (i = 0; i <= 32; i += skip[0]) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2070 { |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
2071 if (! math::isfinite (ivr->fx[i])) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2072 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2073 nans[nnans++] = i; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2074 ivr->fx[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2075 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2076 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2077 Vinvfx (ivr->fx, ivr->c, 0); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2078 if (nnans > 0) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2079 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2080 downdate (ivr->c, n[0], 0, nans, nnans); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2081 for (i = 0; i < nnans; i++) |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
2082 ivr->fx[nans[i]] = numeric_limits<double>::NaN (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2083 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2084 for (i = 0; i <= n[d]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2085 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2086 ivr->c[idx[d] + i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2087 for (j = i; j <= n[d]; j++) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2088 ivr->c[idx[d] + i] += Tright[i*33 + j] * iv->c[idx[d] + j]; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2089 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2090 ncdiff = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2091 for (i = 0; i <= n[0]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2092 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2093 temp = ivr->c[i] - ivr->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2094 ncdiff += temp * temp; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2095 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2096 for (i = n[0] + 1; i <= n[d]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2097 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2098 temp = ivr->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2099 ncdiff += temp * temp; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2100 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2101 ncdiff = sqrt (ncdiff); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2102 ivr->err = ncdiff * h; |
20910 | 2103 // Check for divergence. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2104 ivr->ndiv = iv->ndiv + (fabs (iv->c[0]) > 0 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2105 && ivr->c[0] / iv->c[0] > 2); |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2106 if (ivr->ndiv > ndiv_max && 2*ivr->ndiv > ivr->rdepth) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2107 { |
29961
7d6709900da7
eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents:
29958
diff
changeset
|
2108 igral = std::copysign (numeric_limits<double>::Inf (), igral); |
11590
4ced6b90fffb
style fixes for warning and error messages in source files
John W. Eaton <jwe@octave.org>
parents:
11586
diff
changeset
|
2109 warning ("quadcc: divergent integral detected"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2110 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2111 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2112 |
20910 | 2113 // Compute the local integral. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2114 ivr->igral = h * w * ivr->c[0]; |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11572
diff
changeset
|
2115 |
20910 | 2116 // Fix-up the heap: we now have one interval on top that we |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2117 // don't need any more and two new, unsorted ones at the bottom. |
11586
12df7854fa7c
strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
11572
diff
changeset
|
2118 |
20910 | 2119 // Flip the last interval to the top of the heap and sift down. |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2120 std::swap (heap[nivals - 1], heap[0]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2121 nivals--; |
20910 | 2122 // Sift this interval back down the heap. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2123 i = 0; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2124 while (2*i + 1 < nivals - 1) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2125 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2126 j = 2*i + 1; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2127 if (j + 1 < nivals - 1 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2128 && ivals[heap[j + 1]].err >= ivals[heap[j]].err) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2129 j++; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2130 if (ivals[heap[j]].err <= ivals[heap[i]].err) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2131 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2132 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2133 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2134 std::swap (heap[j], heap[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2135 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2136 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2137 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2138 |
20910 | 2139 // Now grab the last interval and sift it up the heap. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2140 i = nivals - 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2141 while (i > 0) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2142 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2143 j = (i - 1) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2144 if (ivals[heap[j]].err < ivals[heap[i]].err) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2145 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2146 std::swap (heap[j], heap[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2147 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2148 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2149 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2150 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2151 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2152 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2153 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2154 { |
20910 | 2155 // Otherwise, just fix-up the heap. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2156 i = 0; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2157 while (2*i + 1 < nivals) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2158 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2159 j = 2*i + 1; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2160 if (j + 1 < nivals |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2161 && ivals[heap[j + 1]].err >= ivals[heap[j]].err) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2162 j++; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2163 if (ivals[heap[j]].err <= ivals[heap[i]].err) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2164 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2165 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2166 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2167 std::swap (heap[j], heap[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2168 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2169 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2170 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2171 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2172 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2173 // If the heap is about to overflow, remove the last two intervals. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2174 while (nivals > cquad_heapsize - 2) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2175 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2176 iv = &(ivals[heap[nivals - 1]]); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2177 #if (DEBUG_QUADCC) |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2178 printf ("quadcc: dropping ival %i (of %i) with [%e,%e] int=%e, err=%e, depth=%i\n", |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2179 heap[0], nivals, iv->a, iv->b, iv->igral, iv->err, iv->depth); |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2180 #endif |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2181 err_final += iv->err; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2182 igral_final += iv->igral; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2183 nivals--; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2184 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2185 |
20910 | 2186 // Collect the value of the integral and error. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2187 igral = igral_final; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2188 err = err_final; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2189 for (i = 0; i < nivals; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2190 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2191 igral += ivals[heap[i]].igral; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2192 err += ivals[heap[i]].err; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2193 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2194 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2195 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2196 #if (DEBUG_QUADCC) |
20910 | 2197 // Dump the contents of the heap. |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2198 for (i = 0; i < nivals; i++) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2199 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2200 iv = &(ivals[heap[i]]); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2201 printf ("quadcc: ival %i (%i) with [%e,%e], int=%e, err=%e, depth=%i, rdepth=%i, ndiv=%i\n", |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2202 i, heap[i], iv->a, iv->b, iv->igral, iv->err, iv->depth, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2203 iv->rdepth, iv->ndiv); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2204 } |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2205 #endif |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2206 |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2207 if (issingle) |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2208 return ovl (static_cast<float> (igral), err, neval); |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2209 else |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2210 return ovl (igral, err, neval); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2211 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2212 |
13141
e81ddf9cacd5
maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
12653
diff
changeset
|
2213 /* |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2214 %!assert (quadcc (@sin, -pi, pi), 0, 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2215 %!assert (quadcc (inline ("sin"), -pi, pi), 0, 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2216 %!assert (quadcc ("sin", -pi, pi), 0, 1e-10) |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
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changeset
|
2217 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2218 %!assert (quadcc (@sin, -pi, 0), -2, 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2219 %!assert (quadcc (@sin, 0, pi), 2, 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2220 %!assert (quadcc (@(x) 1./sqrt (x), 0, 1), 2, -1e-6) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
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|
2221 %!assert (quadcc (@(x) 1./(sqrt (x).*(x+1)), 0, Inf), pi, -1e-6) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
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|
2222 %!assert (quadcc (@(x) 1./(sqrt (x).*(x+1)), 0, Inf, [0, 1e-8]), pi, -1e-8) |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2223 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
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changeset
|
2224 %!assert (quadcc (@(x) exp (-x .^ 2), -Inf, Inf), sqrt (pi), 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2225 %!assert (quadcc (@(x) exp (-x .^ 2), -Inf, 0), sqrt (pi)/2, 1e-10) |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2226 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2227 ## Test function with NaNs in interval |
15437
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
changeset
|
2228 %!function y = __nansin (x) |
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
changeset
|
2229 %! nan_locs = [-3*pi/4, -pi/4, 0, pi/3, pi/2, pi]; |
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
changeset
|
2230 %! y = sin (x); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2231 %! idx = min (abs (bsxfun (@minus, x(:), nan_locs)), [], 2); |
15437
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
changeset
|
2232 %! y(idx < 1e-10) = NaN; |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2233 %!endfunction |
15437
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
changeset
|
2234 |
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
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|
2235 %!test |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2236 %! [q, err, npoints] = quadcc ("__nansin", -pi, pi, [0, 1e-6]); |
71dad5be765a
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Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2237 %! assert (q, 0, -1e-6); |
15437
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
changeset
|
2238 %! assert (err, 0, 15*eps); |
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents:
14151
diff
changeset
|
2239 |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2240 %!test |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
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|
2241 %! assert (class (quadcc (@sin, 0, 1)), "double"); |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2242 %! assert (class (quadcc (@sin, single (0), 1)), "single"); |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2243 %! assert (class (quadcc (@sin, 0, single (1))), "single"); |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2244 %! assert (class (quadcc (@sin, single (0), single (1))), "single"); |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2245 |
22737
7abc25e6206a
maint: Clean up code base to follow Octave coding conventions.
Rik <rik@octave.org>
parents:
22407
diff
changeset
|
2246 ## Test input validation |
28930
2883b3d08b7e
maint: Remove unnecessary parentheses bracketing %!error BIST tests.
Rik <rik@octave.org>
parents:
27923
diff
changeset
|
2247 %!error quadcc () |
2883b3d08b7e
maint: Remove unnecessary parentheses bracketing %!error BIST tests.
Rik <rik@octave.org>
parents:
27923
diff
changeset
|
2248 %!error quadcc (@sin) |
2883b3d08b7e
maint: Remove unnecessary parentheses bracketing %!error BIST tests.
Rik <rik@octave.org>
parents:
27923
diff
changeset
|
2249 %!error quadcc (@sin, 0) |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2250 %!error <lower limit .* must be a .* scalar> (quadcc (@sin, ones (2), pi)) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
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|
2251 %!error <lower limit .* must be a real scalar> (quadcc (@sin, -i, pi)) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
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|
2252 %!error <upper limit .* must be a .* scalar> (quadcc (@sin, 0, ones (2))) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2253 %!error <upper limit .* must be a real scalar> (quadcc (@sin, 0, i)) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
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|
2254 %!error <TOL must be a 1- or 2-element vector> (quadcc (@sin, 0, pi, {1})) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2255 %!error <TOL must be a 1- or 2-element vector> (quadcc (@sin, 0, pi, [1,2,3])) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2256 %!error <absolute tolerance must be .=0> (quadcc (@sin, 0, pi, -1)) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2257 %!error <relative tolerance must be .=0> (quadcc (@sin, 0, pi, [1, -1])) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2258 %!error <SING.* must be .* real values> (quadcc (@sin, 0, pi, 1e-6, [ i ])) |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2259 */ |
29958
32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
29359
diff
changeset
|
2260 |
32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
29359
diff
changeset
|
2261 OCTAVE_NAMESPACE_END |