Mercurial > octave
annotate libinterp/corefcn/quadcc.cc @ 29359:7854d5752dd2
maint: merge stable to default.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 10 Feb 2021 10:10:40 -0500 |
parents | 2883b3d08b7e 0a5b15007766 |
children | 32c3a5805893 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2010-2021 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 |
20910 | 48 // Define the minimum size of the interval heap. |
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49 static const int MIN_CQUAD_HEAPSIZE = 200; |
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50 |
20910 | 51 // Data of a single interval. |
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52 typedef struct |
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53 { |
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54 double a, b; |
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55 double c[64]; |
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56 double fx[33]; |
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57 double igral, err; |
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58 int depth, rdepth, ndiv; |
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59 } cquad_ival; |
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60 |
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61 // Define relative tolerance used when deciding to drop an interval. |
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62 static const double DROP_RELTOL = std::numeric_limits<double>::epsilon () * 10; |
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63 |
20910 | 64 // Some constants and matrices that we'll need. |
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65 |
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66 static const double xi[33] = |
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67 { |
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68 -1., -0.99518472667219688624, -0.98078528040323044912, |
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69 -0.95694033573220886493, -0.92387953251128675612, |
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70 -0.88192126434835502970, -0.83146961230254523708, |
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71 -0.77301045336273696082, -0.70710678118654752440, |
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72 -0.63439328416364549822, -0.55557023301960222475, |
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73 -0.47139673682599764857, -0.38268343236508977173, |
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74 -0.29028467725446236764, -0.19509032201612826785, |
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75 -0.098017140329560601995, 0., 0.098017140329560601995, |
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76 0.19509032201612826785, 0.29028467725446236764, 0.38268343236508977173, |
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77 0.47139673682599764857, 0.55557023301960222475, 0.63439328416364549822, |
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78 0.70710678118654752440, 0.77301045336273696082, 0.83146961230254523708, |
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79 0.88192126434835502970, 0.92387953251128675612, 0.95694033573220886493, |
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80 0.98078528040323044912, 0.99518472667219688624, 1. |
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81 }; |
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82 |
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83 static const double bee[68] = |
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84 { |
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85 0.00000000000000e+00, 2.28868854108532e-01, 0.00000000000000e+00, |
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86 -8.15740215243451e-01, 0.00000000000000e+00, 5.31212715259731e-01, |
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87 0.00000000000000e+00, 1.38538036812454e-02, 0.00000000000000e+00, |
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88 3.74405228908818e-02, 0.00000000000000e+00, 2.12224115039342e-01, |
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89 0.00000000000000e+00, -8.16362644507898e-01, 0.00000000000000e+00, |
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90 5.35648426691481e-01, 0.00000000000000e+00, 1.52417902753662e-03, |
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91 0.00000000000000e+00, 2.63058840550873e-03, 0.00000000000000e+00, |
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92 4.15292106318904e-03, 0.00000000000000e+00, 6.97106011119775e-03, |
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93 0.00000000000000e+00, 1.35535708431058e-02, 0.00000000000000e+00, |
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94 3.52132898424856e-02, 0.00000000000000e+00, 2.06946714741884e-01, |
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95 0.00000000000000e+00, -8.15674251283876e-01, 0.00000000000000e+00, |
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96 5.38841175520580e-01, 0.00000000000000e+00, 1.84909689577590e-04, |
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97 0.00000000000000e+00, 2.90936325007499e-04, 0.00000000000000e+00, |
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98 3.84877750950089e-04, 0.00000000000000e+00, 4.86436656735046e-04, |
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99 0.00000000000000e+00, 6.08688640346879e-04, 0.00000000000000e+00, |
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100 7.66732830740331e-04, 0.00000000000000e+00, 9.82753336104205e-04, |
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101 0.00000000000000e+00, 1.29359957505615e-03, 0.00000000000000e+00, |
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102 1.76616363801885e-03, 0.00000000000000e+00, 2.53323433039089e-03, |
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103 0.00000000000000e+00, 3.88872172121956e-03, 0.00000000000000e+00, |
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104 6.58635106468291e-03, 0.00000000000000e+00, 1.30326736343254e-02, |
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105 0.00000000000000e+00, 3.44353850696714e-02, 0.00000000000000e+00, |
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106 2.05025409531915e-01, 0.00000000000000e+00, -8.14985893995401e-01, |
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107 0.00000000000000e+00, 5.40679930965238e-01 |
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108 }; |
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109 |
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110 static const double Lalpha[33] = |
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111 { |
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112 5.77350269189626e-01, 5.16397779494322e-01, 5.07092552837110e-01, |
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113 5.03952630678970e-01, 5.02518907629606e-01, 5.01745206004255e-01, |
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114 5.01280411827603e-01, 5.00979432868120e-01, 5.00773395667191e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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115 5.00626174321759e-01, 5.00517330712619e-01, 5.00434593736979e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
116 5.00370233297676e-01, 5.00319182924304e-01, 5.00278009473803e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
117 5.00244319584578e-01, 5.00216403386025e-01, 5.00193012939056e-01, |
a7655cdba470
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parents:
diff
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|
118 5.00173220168024e-01, 5.00156323280355e-01, 5.00141783641018e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
119 5.00129182278347e-01, 5.00118189340972e-01, 5.00108542278496e-01, |
a7655cdba470
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parents:
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120 5.00100030010004e-01, 5.00092481273333e-01, 5.00085755939229e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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121 5.00079738458365e-01, 5.00074332862969e-01, 5.00069458915387e-01, |
a7655cdba470
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parents:
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122 5.00065049112355e-01, 5.00061046334395e-01, 5.00057401986298e-01 |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
123 }; |
a7655cdba470
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parents:
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|
124 |
17787
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125 static const double Lgamma[33] = |
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126 { |
10944
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127 0.0, 0.0, 5.16397779494322e-01, 5.07092552837110e-01, 5.03952630678970e-01, |
a7655cdba470
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parents:
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128 5.02518907629606e-01, 5.01745206004255e-01, 5.01280411827603e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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129 5.00979432868120e-01, 5.00773395667191e-01, 5.00626174321759e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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130 5.00517330712619e-01, 5.00434593736979e-01, 5.00370233297676e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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131 5.00319182924304e-01, 5.00278009473803e-01, 5.00244319584578e-01, |
a7655cdba470
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parents:
diff
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132 5.00216403386025e-01, 5.00193012939056e-01, 5.00173220168024e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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133 5.00156323280355e-01, 5.00141783641018e-01, 5.00129182278347e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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134 5.00118189340972e-01, 5.00108542278496e-01, 5.00100030010003e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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135 5.00092481273333e-01, 5.00085755939229e-01, 5.00079738458365e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
136 5.00074332862969e-01, 5.00069458915387e-01, 5.00065049112355e-01, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
137 5.00061046334395e-01 |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
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|
138 }; |
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139 |
17787
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140 static const double V1inv[5 * 5] = |
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141 { |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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142 .47140452079103168293e-1, .37712361663282534635, .56568542494923801952, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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143 .37712361663282534635, .47140452079103168293e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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144 -.81649658092772603273e-1, -.46188021535170061160, 0, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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145 .46188021535170061160, .81649658092772603273e-1, .15058465048420853962, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
146 .12046772038736683169, -.54210474174315074262, .12046772038736683169, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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147 .15058465048420853962, -.21380899352993950775, .30237157840738178177, -0., |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
148 -.30237157840738178177, .21380899352993950775, .10774960475223581324, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
149 -.21549920950447162648, .21549920950447162648, -.21549920950447162648, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
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|
150 .10774960475223581324 |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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151 }; |
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parents:
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152 |
17787
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153 static const double V2inv[9 * 9] = |
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154 { |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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155 .11223917161691230546e-1, .10339219839658349826, .19754094204576565761, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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156 .25577315077753587922, .27835314560994251755, .25577315077753587922, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
157 .19754094204576565761, .10339219839658349826, .11223917161691230546e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
158 -.19440394783993476970e-1, -.16544884625069155470, -.24193725566041460608, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
159 -.16953338808305493604, 0.0, .16953338808305493604, .24193725566041460608, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
160 .16544884625069155470, .19440394783993476970e-1, .26466393115406349388e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
161 .17766815796285469394, .11316664642449611462, -.16306601003711325980, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
162 -.30847037493128779631, -.16306601003711325980, .11316664642449611462, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
163 .17766815796285469394, .26466393115406349388e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
164 -.32395302049990834508e-1, -.15521142532414866547, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
165 .88573492664788602740e-1, .29570405784974857322, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
166 -.29570405784974857322, -.88573492664788602740e-1, .15521142532414866547, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
167 .32395302049990834508e-1, .41442155673936851246e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
168 .98186757907405608245e-1, -.23056908429499411784, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
169 -.68047008326360625520e-1, .31797435808002456774, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
170 -.68047008326360625520e-1, -.23056908429499411784, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
171 .98186757907405608245e-1, .41442155673936851246e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
172 -.49981120317798783134e-1, -.24861810572835756217e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
173 .23561326072010832539, -.24472785656448415351, 0.0, .24472785656448415351, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
174 -.23561326072010832539, .24861810572835756217e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
175 .49981120317798783134e-1, .79691635865674781228e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
176 -.95725617891693941833e-1, -.57957553356854386344e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
177 .21164072460540271452, -.27529837844505833514, .21164072460540271452, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
178 -.57957553356854386344e-1, -.95725617891693941833e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
179 .79691635865674781228e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
180 -.10894869830716590913, .20131094491947531782, -.15407672674888869038, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
181 .83385723639789791384e-1, 0.0, -.83385723639789791384e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
182 .15407672674888869038, -.20131094491947531782, .10894869830716590913, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
183 .54581057089643838221e-1, -.10916211417928767644, .10916211417928767644, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
184 -.10916211417928767644, .10916211417928767644, -.10916211417928767644, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
185 .10916211417928767644, -.10916211417928767644, .54581057089643838221e-1 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
186 }; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
187 |
17787
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188 static const double V3inv[17 * 17] = |
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189 { |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
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190 .27729677693590098996e-2, .26423663180333065153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
191 .53374068493933898312e-1, .77007854739523195947e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
192 .98257061072911596869e-1, .11538049741786835604, .12832134344120884559, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
193 .13612785914022865001, .13888293186236181317, .13612785914022865001, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
194 .12832134344120884559, .11538049741786835604, .98257061072911596869e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
195 .77007854739523195947e-1, .53374068493933898312e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
196 .26423663180333065153e-1, .27729677693590098996e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
197 -.48029210642807413690e-2, -.44887724635478800254e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
198 -.85409520147301089416e-1, -.11090267822061423050, -.12033983162705862441, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
199 -.11102786862182788886, -.85054870109799336515e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
200 -.45998467987742225160e-1, 0.0, .45998467987742225160e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
201 .85054870109799336515e-1, .11102786862182788886, .12033983162705862441, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
202 .11090267822061423050, .85409520147301089416e-1, .44887724635478800254e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
203 .48029210642807413690e-2, .62758546879582030087e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
204 .55561297093529155869e-1, |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
205 .93281491021051539742e-1, .92320151237493695139e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
206 .55077987469605684531e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
207 -.96998141716497488255e-2, -.80285961895427405567e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
208 -.13496839655913850224, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
209 -.15512521776684524331, -.13496839655913850224, -.80285961895427405567e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
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|
210 -.96998141716497488255e-2, .55077987469605684531e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
211 .92320151237493695139e-1, .93281491021051539742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
212 .55561297093529155869e-1, .62758546879582030087e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
213 -.74850969394858555939e-2, -.61751608943839234096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
214 -.82974150437304275958e-1, -.38437763431942633378e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
215 .45745502025779701366e-1, .12369235652734542162, .14720439712852868239, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
216 .98768034347019704401e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
217 -.98768034347019704401e-1, -.14720439712852868239, -.12369235652734542162, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
218 -.45745502025779701366e-1, .38437763431942633378e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
219 .82974150437304275958e-1, .61751608943839234096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
220 .74850969394858555939e-2, .86710099994384056338e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
221 .64006230103659573344e-1, .58517426396091675690e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
222 -.29743410528985802680e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
223 -.11934127779157114754, -.12686773515361299409, -.30729137153877447035e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
224 .97307836256600731568e-1, .15635811574451401023, .97307836256600731568e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
225 -.30729137153877447035e-1, -.12686773515361299409, -.11934127779157114754, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
226 -.29743410528985802680e-1, .58517426396091675690e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
227 .64006230103659573344e-1, .86710099994384056338e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
228 -.97486395666294840165e-2, -.62995604908060224672e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
229 -.24373234450275529219e-1, .87760984413626872730e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
230 .12205204576993351394, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
231 .16216004196864002088e-1, -.12422320942156845775, -.13682714580929614678, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
232 0.0, .13682714580929614678, .12422320942156845775, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
233 -.16216004196864002088e-1, -.12205204576993351394, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
234 -.87760984413626872730e-1, .24373234450275529219e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
235 .62995604908060224672e-1, .97486395666294840165e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
236 .10956271233750488468e-1, .58613204255294358939e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
237 -.13306063940736618859e-1, -.11606666444978454399, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
238 -.52059598001115805639e-1, .10868540217796151849, .12594452879014618005, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
239 -.44678658254872910434e-1, -.15617684362128533405, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
240 -.44678658254872910434e-1, .12594452879014618005, .10868540217796151849, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
241 -.52059598001115805639e-1, -.11606666444978454399, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
242 -.13306063940736618859e-1, .58613204255294358939e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
243 .10956271233750488468e-1, -.12098893000863087230e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
244 -.51626244709126208453e-1, .48919433304746979330e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
245 .10467644465949427090, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
246 -.48729879523084673782e-1, -.13668732103524749234, .28190838706814496438e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
247 .15434223333238741600, 0.0, -.15434223333238741600, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
248 -.28190838706814496438e-1, .13668732103524749234, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
249 .48729879523084673782e-1, -.10467644465949427090, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
250 -.48919433304746979330e-1, .51626244709126208453e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
251 .12098893000863087230e-1, .13542668300437944822e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
252 .41712033418258689308e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
253 -.76190463272803434388e-1, -.58303943170068132010e-1, .12158068748245606853, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
254 .42121099930651007882e-1, -.14684425840766337756, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
255 -.16108203535058647043e-1, .15698075850757976092, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
256 -.16108203535058647043e-1, -.14684425840766337756, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
257 .42121099930651007882e-1, .12158068748245606853, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
258 -.58303943170068132010e-1, -.76190463272803434388e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
259 .41712033418258689308e-1, .13542668300437944822e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
260 -.14939634995117694417e-1, -.30047246373341564039e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
261 .91624635082546425678e-1, -.79133374319110026377e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
262 -.12292558212072233355, .90013382617762643524e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
263 .84013717196539593395e-1, -.14813033309980695856, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
264 .14813033309980695856, -.84013717196539593395e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
265 -.90013382617762643524e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
266 .12292558212072233355, .79133374319110026377e-2, -.91624635082546425678e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
267 .30047246373341564039e-1, .14939634995117694417e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
268 .16986031342807474208e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
269 .15760203882617033601e-1, -.91494054040950941996e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
270 .70082459207876130806e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
271 .53390713710144539104e-1, -.14340746778352039430, .84048122493418898508e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
272 .72456667788091316868e-1, -.15564535320096811360, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
273 .72456667788091316868e-1, .84048122493418898508e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
274 -.14340746778352039430, .53390713710144539104e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
275 .70082459207876130806e-1, -.91494054040950941996e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
276 .15760203882617033601e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
277 .16986031342807474208e-1, -.18994065631858742028e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
278 -.82901821370405592927e-3, .77239669773015192888e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
279 -.10850735431039424680, .47524484622086496464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
280 .69148184871588737021e-1, -.14829314646228194928, .11992057742398672066, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
281 0.0, -.11992057742398672066, .14829314646228194928, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
282 -.69148184871588737021e-1, -.47524484622086496464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
283 .10850735431039424680, -.77239669773015192888e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
284 .82901821370405592927e-3, .18994065631858742028e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
285 .22761703826371535132e-1, -.17728848711449643358e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
286 -.47496371572480503788e-1, .10659958402328690063, -.11696013966166296514, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
287 .63073750910894244526e-1, .32928881123602721303e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
288 -.12280950532497593683, .15926189077282729505, -.12280950532497593683, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
289 .32928881123602721303e-1, .63073750910894244526e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
290 -.11696013966166296514, .10659958402328690063, -.47496371572480503788e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
291 -.17728848711449643358e-1, .22761703826371535132e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
292 -.26493215276042203434e-1, .35579780856128386192e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
293 .10447309718398935122e-1, -.68616154085314996709e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
294 .11775363082763954214, -.13918901977011837274, .12312819418827395690, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
295 -.72053565748259077905e-1, 0.0, .72053565748259077905e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
296 -.12312819418827395690, .13918901977011837274, -.11775363082763954214, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
297 .68616154085314996709e-1, -.10447309718398935122e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
298 -.35579780856128386192e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
299 .26493215276042203434e-1, .40742523354399706918e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
300 -.73124912999529117195e-1, .49317266444153837821e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
301 -.13686605413876015320e-1, -.28342624942191100464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
302 .70371855298258216249e-1, -.10600251632853603875, .12981016288391131812, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
303 -.13817029659318161476, .12981016288391131812, -.10600251632853603875, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
304 .70371855298258216249e-1, -.28342624942191100464e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
305 -.13686605413876015320e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
306 .49317266444153837821e-1, -.73124912999529117195e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
307 .40742523354399706918e-1, -.54944368958699908688e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
308 .10777725663147408190, -.10152395581538265428, .91369146312596428468e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
309 -.77703071757424700773e-1, .61050911730999815031e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
310 -.42052599404498348871e-1, .21438229266251454773e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
311 -.21438229266251454773e-1, .42052599404498348871e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
312 -.61050911730999815031e-1, .77703071757424700773e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
313 -.91369146312596428468e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
314 .10152395581538265428, -.10777725663147408190, .54944368958699908688e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
315 .27485608464748840573e-1, -.54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
316 .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
317 -.54971216929497681146e-1, .54971216929497681146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
318 -.54971216929497681146e-1, .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, .27485608464748840573e-1 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
324 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
325 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
326 static const double V4inv[33 * 33] = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
327 { |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
328 .69120897476690862600e-3, .66419939766331555194e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
329 .13600665164323186111e-1, .20122785860913684493e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
330 .26583214101668429944e-1, .32712713318999268739e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
331 .38576221976287138036e-1, .44033030938268925133e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
332 .49092709529622799673e-1, .53657949874312515646e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
333 .57724533144734311859e-1, .61219564530655179096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
334 .64138907503837875026e-1, .66427905189318792009e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
335 .68088956652280022887e-1, .69083051391555695878e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
336 .69422738116739271449e-1, .69083051391555695878e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
337 .68088956652280022887e-1, .66427905189318792009e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
338 .64138907503837875026e-1, .61219564530655179096e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
339 .57724533144734311859e-1, .53657949874312515646e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
340 .49092709529622799673e-1, .44033030938268925133e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
341 .38576221976287138036e-1, .32712713318999268739e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
342 .26583214101668429944e-1, .20122785860913684493e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
343 .13600665164323186111e-1, .66419939766331555194e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
344 .69120897476690862600e-3, -.11972090629438798134e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
345 -.11448874821643225573e-1, -.23104401104002905904e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
346 -.33352899418646530133e-1, -.42538626424075425908e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
347 -.49969730733911825941e-1, -.55555454015360728353e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
348 -.58955533624852604918e-1, -.60126044219122513907e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
349 -.58959430451175833624e-1, -.55546925396227130606e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
350 -.49984739749347973762e-1, -.42513009141170294365e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
351 -.33399140950669746346e-1, -.23007690803851790829e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
352 -.11728275717520066169e-1, 0.0, .11728275717520066169e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
353 .23007690803851790829e-1, .33399140950669746346e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
354 .42513009141170294365e-1, .49984739749347973762e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
355 .55546925396227130606e-1, .58959430451175833624e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
356 .60126044219122513907e-1, .58955533624852604918e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
357 .55555454015360728353e-1, .49969730733911825941e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
358 .42538626424075425908e-1, .33352899418646530133e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
359 .23104401104002905904e-1, .11448874821643225573e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
360 .11972090629438798134e-2, .15501585012936019146e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
361 .14628781502199620482e-1, .28684915921474815271e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
362 .39299396074628048026e-1, .46393418975496284204e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
363 .48756902531094699526e-1, .46331333488337494692e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
364 .39012645376980228775e-1, .27452795421085791153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
365 .12430953621169863781e-1, -.47682978056024928800e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
366 -.22825828045428973853e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
367 -.40195512090720278312e-1, -.55503004262826221955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
368 -.67424537752827046308e-1, -.75020199300113606452e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
369 -.77607844312483656131e-1, -.75020199300113606452e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
370 -.67424537752827046308e-1, -.55503004262826221955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
371 -.40195512090720278312e-1, -.22825828045428973853e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
372 -.47682978056024928800e-2, .12430953621169863781e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
373 .27452795421085791153e-1, .39012645376980228775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
374 .46331333488337494692e-1, .48756902531094699526e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
375 .46393418975496284204e-1, .39299396074628048026e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
376 .28684915921474815271e-1, .14628781502199620482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
377 .15501585012936019146e-2, -.18377757558949194214e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
378 -.17050470050949761565e-1, -.31952119564923250836e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
379 -.40197423449026348155e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
380 -.41205649520281371624e-1, -.33909965817492272248e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
381 -.19393664422115332144e-1, .56661049630886784692e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
382 .22948272173686561721e-1, .44489719570904738207e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
383 .61790363672287920596e-1, .72121014727028013894e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
384 .73627151185287858579e-1, .65784665375961398923e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
385 .49369676372333667559e-1, .26444326317059715065e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
386 -.26444326317059715065e-1, -.49369676372333667559e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
387 -.65784665375961398923e-1, -.73627151185287858579e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
388 -.72121014727028013894e-1, -.61790363672287920596e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
389 -.44489719570904738207e-1, -.22948272173686561721e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
390 -.56661049630886784692e-3, .19393664422115332144e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
391 .33909965817492272248e-1, .41205649520281371624e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
392 .40197423449026348155e-1, .31952119564923250836e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
393 .17050470050949761565e-1, .18377757558949194214e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
394 .20942714740729767769e-2, .18935902405146518232e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
395 .33335840852491735126e-1, .36770680999102286065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
396 .28873194534132768509e-1, .10267303017729535513e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
397 -.14607738306201572890e-1, -.40139568545572305818e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
398 -.59808326733858291561e-1, -.68528358823372627506e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
399 -.63306535387619244879e-1, -.44508601817574921056e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
400 -.15449116105605395357e-1, .17941083795006546367e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
401 .48747356011657242123e-1, .70329553984201665523e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
402 .78106117292526169663e-1, .70329553984201665523e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
403 .48747356011657242123e-1, .17941083795006546367e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
404 -.15449116105605395357e-1, -.44508601817574921056e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
405 -.63306535387619244879e-1, -.68528358823372627506e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
406 -.59808326733858291561e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
407 -.40139568545572305818e-1, -.14607738306201572890e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
408 .10267303017729535513e-1, .28873194534132768509e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
409 .36770680999102286065e-1, .33335840852491735126e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
410 .18935902405146518232e-1, .20942714740729767769e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
411 -.23245285491878278419e-2, -.20401404737639389919e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
412 -.33019548231022514097e-1, -.29709828426463720091e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
413 -.11760070922697422156e-1, .15987584743850393793e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
414 .43619012891472813485e-1, .61177322409671487721e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
415 .61144030218486655594e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
416 .41895377620089086167e-1, .80232011820644308033e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
417 -.30574701186675900915e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
418 -.62072243008844865848e-1, -.76336186183574765586e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
419 -.68435466095345537115e-1, -.40237669208466966207e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
420 .40237669208466966207e-1, .68435466095345537115e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
421 .76336186183574765586e-1, .62072243008844865848e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
422 .30574701186675900915e-1, -.80232011820644308033e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
423 -.41895377620089086167e-1, -.61144030218486655594e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
424 -.61177322409671487721e-1, -.43619012891472813485e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
425 -.15987584743850393793e-1, .11760070922697422156e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
426 .29709828426463720091e-1, .33019548231022514097e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
427 .20401404737639389919e-1, .23245285491878278419e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
428 .25451717261579269307e-2, .21480418595666878775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
429 .31177212469293007998e-1, .19816333607013379373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
430 -.72439496274458793681e-2, -.38404203906598342397e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
431 -.57633632255322221046e-1, -.54070547403585392952e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
432 -.26249823354368866005e-1, .15643058212336881516e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
433 .54539832735118677194e-1, .73283028002473989724e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
434 .62835303524135936213e-1, .26175977027801048141e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
435 -.22193636309998606610e-1, -.62597049956093311234e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
436 -.78206986173170212505e-1, -.62597049956093311234e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
437 -.22193636309998606610e-1, .26175977027801048141e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
438 .62835303524135936213e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
439 .73283028002473989724e-1, .54539832735118677194e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
440 .15643058212336881516e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
441 -.26249823354368866005e-1, -.54070547403585392952e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
442 -.57633632255322221046e-1, -.38404203906598342397e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
443 -.72439496274458793681e-2, .19816333607013379373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
444 .31177212469293007998e-1, .21480418595666878775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
445 .25451717261579269307e-2, -.27506573922483820005e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
446 -.22224442095099251870e-1, -.27949927254215773020e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
447 -.80918481053370034987e-2, .25121859354449306916e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
448 .51563535009373061074e-1, .51936965107145960512e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
449 .22146626648171527753e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
450 -.24172689882103382748e-1, -.61731229104853568296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
451 -.68477262429344201201e-1, -.38311232728303704742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
452 .14160578713659552679e-1, .61248813427564184033e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
453 .77136328841293031805e-1, .52514801765183697988e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
454 -.52514801765183697988e-1, -.77136328841293031805e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
455 -.61248813427564184033e-1, -.14160578713659552679e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
456 .38311232728303704742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
457 .68477262429344201201e-1, .61731229104853568296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
458 .24172689882103382748e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
459 -.22146626648171527753e-1, -.51936965107145960512e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
460 -.51563535009373061074e-1, -.25121859354449306916e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
461 .80918481053370034987e-2, .27949927254215773020e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
462 .22224442095099251870e-1, .27506573922483820005e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
463 .29562461131654311467e-2, .22630271480554450613e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
464 .23547399831373800971e-1, -.43964593440902476642e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
465 -.39055315767504970597e-1, -.52369643937940066804e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
466 -.28506131614971613422e-1, .19906048093338832322e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
467 .60408880866392420279e-1, .62493397473656883090e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
468 .21391278377641297859e-1, -.37302864786623254746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
469 -.73665127933539496872e-1, -.61706142476854010202e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
470 -.78065168882546327888e-2, .52335307373945544428e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
471 .78278746279419264777e-1, .52335307373945544428e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
472 -.78065168882546327888e-2, -.61706142476854010202e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
473 -.73665127933539496872e-1, -.37302864786623254746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
474 .21391278377641297859e-1, .62493397473656883090e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
475 .60408880866392420279e-1, .19906048093338832322e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
476 -.28506131614971613422e-1, -.52369643937940066804e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
477 -.39055315767504970597e-1, -.43964593440902476642e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
478 .23547399831373800971e-1, .22630271480554450613e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
479 .29562461131654311467e-2, -.31515718415504761303e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
480 -.22739451096655080673e-1, -.18157123602272119779e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
481 .16496480897167303621e-1, .46921166788569301124e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
482 .40644395739978416354e-1, -.46275803430732216900e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
483 -.52883375891308909486e-1, -.61116483226324111734e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
484 -.17411698764545629853e-1, .44773430013166822765e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
485 .73441577962383869198e-1, .42127368371995472815e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
486 -.25504645957196772465e-1, -.74126818045972742488e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
487 -.62780077864719287317e-1, 0.0, .62780077864719287317e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
488 .74126818045972742488e-1, .25504645957196772465e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
489 -.42127368371995472815e-1, -.73441577962383869198e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
490 -.44773430013166822765e-1, .17411698764545629853e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
491 .61116483226324111734e-1, .52883375891308909486e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
492 .46275803430732216900e-2, -.40644395739978416354e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
493 -.46921166788569301124e-1, -.16496480897167303621e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
494 .18157123602272119779e-1, .22739451096655080673e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
495 .31515718415504761303e-2, .33536559294882188208e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
496 .22535348942792006185e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
497 .12048629300953560767e-1, -.27166076791299493403e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
498 -.47492745604230978367e-1, -.19246623430993153174e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
499 .36231297307556299322e-1, .61713617181636122004e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
500 .25928029734266134490e-1, -.40478700752883602818e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
501 -.71053889866326412049e-1, -.31870824482961751482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
502 .41515251100219081281e-1, .76481960760098381651e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
503 .36726509155999912440e-1, -.40090067032627055969e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
504 -.78270742903374539397e-1, -.40090067032627055969e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
505 .36726509155999912440e-1, .76481960760098381651e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
506 .41515251100219081281e-1, -.31870824482961751482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
507 -.71053889866326412049e-1, -.40478700752883602818e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
508 .25928029734266134490e-1, .61713617181636122004e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
509 .36231297307556299322e-1, -.19246623430993153174e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
510 -.47492745604230978367e-1, -.27166076791299493403e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
511 .12048629300953560767e-1, .22535348942792006185e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
512 .33536559294882188208e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
513 -.35481220456925318865e-2, -.22062913693073191150e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
514 -.54487362861834144999e-2, .35438821865804087489e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
515 .40733077820527411302e-1, -.67403098138950720914e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
516 -.55559584405239171054e-1, -.42417050790865158745e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
517 .24499901971884704925e-1, .68721232891705409302e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
518 .34086082787461126592e-1, -.43441000373118474002e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
519 -.73878085292669148950e-1, -.18846995664706657127e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
520 .59827776178286834498e-1, .70644634584085901794e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
521 -.70644634584085901794e-1, -.59827776178286834498e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
522 .18846995664706657127e-1, .73878085292669148950e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
523 .43441000373118474002e-1, -.34086082787461126592e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
524 -.68721232891705409302e-1, -.24499901971884704925e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
525 .42417050790865158745e-1, .55559584405239171054e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
526 .67403098138950720914e-2, -.40733077820527411302e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
527 -.35438821865804087489e-1, .54487362861834144999e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
528 .22062913693073191150e-1, .35481220456925318865e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
529 .37554176816665075631e-2, .21297045781589919482e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
530 -.13327293083183431816e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
531 -.40635299172764596484e-1, -.27659860508374175359e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
532 .31089232744083445986e-1, .56113781541334176109e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
533 .37577840643257763400e-2, -.60511227350664590865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
534 -.46670556446129053853e-1, .33263195878575888247e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
535 .72757324720645228775e-1, .15011712351692283635e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
536 -.65601212994924119078e-1, -.60016855838843789772e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
537 .26220858553188665966e-1, .78322776605833552980e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
538 .26220858553188665966e-1, -.60016855838843789772e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
539 -.65601212994924119078e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
540 .15011712351692283635e-1, .72757324720645228775e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
541 .33263195878575888247e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
542 -.46670556446129053853e-1, -.60511227350664590865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
543 .37577840643257763400e-2, .56113781541334176109e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
544 .31089232744083445986e-1, -.27659860508374175359e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
545 -.40635299172764596484e-1, -.13327293083183431816e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
546 .21297045781589919482e-1, .37554176816665075631e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
547 -.39566995305720591229e-2, -.20291873414438919995e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
548 .80617453830770930551e-2, .42270189157016547906e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
549 .10332624526759093004e-1, -.48054759547616142024e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
550 -.37678032941171643972e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
551 .36617192625732482394e-1, .61009425973424865714e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
552 -.95589113168026591466e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
553 -.71023202645076922361e-1, -.25097788086808784456e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
554 .62406621963267050244e-1, .56907293171100693511e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
555 -.36435383083882206257e-1, -.75790105119208756348e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
556 .75790105119208756348e-1, .36435383083882206257e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
557 -.56907293171100693511e-1, -.62406621963267050244e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
558 .25097788086808784456e-1, .71023202645076922361e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
559 .95589113168026591466e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
560 -.61009425973424865714e-1, -.36617192625732482394e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
561 .37678032941171643972e-1, .48054759547616142024e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
562 -.10332624526759093004e-1, -.42270189157016547906e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
563 -.80617453830770930551e-2, .20291873414438919995e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
564 .39566995305720591229e-2, .41776092289182138591e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
565 .19013221163904414395e-1, -.14420609729849899876e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
566 -.40259160586844441220e-1, .86327811113710831649e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
567 .53564430703021034399e-1, .65469185402150431933e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
568 -.60383116311280629856e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
569 -.25657793784058876939e-1, .58745680576829226900e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
570 .45649937869034420296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
571 -.49167932056844167772e-1, -.62696614328552187977e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
572 .32540234556426699997e-1, .74280410383464269758e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
573 -.11425672633410999870e-1, -.78280649404686404903e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
574 -.11425672633410999870e-1, .74280410383464269758e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
575 .32540234556426699997e-1, -.62696614328552187977e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
576 -.49167932056844167772e-1, .45649937869034420296e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
577 .58745680576829226900e-1, -.25657793784058876939e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
578 -.60383116311280629856e-1, .65469185402150431933e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
579 .53564430703021034399e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
580 .86327811113710831649e-2, -.40259160586844441220e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
581 -.14420609729849899876e-1, .19013221163904414395e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
582 .41776092289182138591e-2, -.43935502082478059199e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
583 -.17528761237509401631e-1, .20208915249153872535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
584 .34734743119040669109e-1, -.26275910172353637955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
585 -.46368003346018878786e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
586 .26800056330709381025e-1, .56681476464606609921e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
587 -.24749011438127255898e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
588 -.64934612189056658992e-1, .20333742247679279535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
589 .71429299070059318651e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
590 -.14452513210428671266e-1, -.75793341281736586582e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
591 .74717094137184935270e-2, .78034921554757317374e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
592 -.78034921554757317374e-1, -.74717094137184935270e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
593 .75793341281736586582e-1, .14452513210428671266e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
594 -.71429299070059318651e-1, -.20333742247679279535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
595 .64934612189056658992e-1, .24749011438127255898e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
596 -.56681476464606609921e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
597 -.26800056330709381025e-1, .46368003346018878786e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
598 .26275910172353637955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
599 -.34734743119040669109e-1, -.20208915249153872535e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
600 .17528761237509401631e-1, .43935502082478059199e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
601 .46379089482818671473e-2, .15791188144791287229e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
602 -.25134290048737455284e-1, -.26249795071946841205e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
603 .39960457575789924651e-1, .28111892450146525404e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
604 -.51026476400767918226e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
605 -.27266747278681831364e-1, .60708796647861610865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
606 .23532306960642115854e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
607 -.68169639871532441111e-1, -.18204924701958312032e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
608 .73822890510656128485e-1, .11373392486424717019e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
609 -.77133324017644609416e-1, -.39295877480342619961e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
610 .78351902829418987960e-1, -.39295877480342619961e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
611 -.77133324017644609416e-1, .11373392486424717019e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
612 .73822890510656128485e-1, -.18204924701958312032e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
613 -.68169639871532441111e-1, .23532306960642115854e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
614 .60708796647861610865e-1, -.27266747278681831364e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
615 -.51026476400767918226e-1, .28111892450146525404e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
616 .39960457575789924651e-1, -.26249795071946841205e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
617 -.25134290048737455284e-1, .15791188144791287229e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
618 .46379089482818671473e-2, -.48780095920069827068e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
619 -.13886961667516983541e-1, .29071311049368895844e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
620 .15480559452075811600e-1, -.47527977686242313065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
621 -.31929089844361042178e-2, .58015667638415922967e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
622 -.14547915466597622925e-1, -.61067668299848923244e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
623 .35093678009090186851e-1, .55378399159800654657e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
624 -.54277226474891610385e-1, -.42023830782434076509e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
625 .69197384645944912066e-1, .22610783557709586445e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
626 -.77269275900637030185e-1, 0.0, .77269275900637030185e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
627 -.22610783557709586445e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
628 -.69197384645944912066e-1, .42023830782434076509e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
629 .54277226474891610385e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
630 -.55378399159800654657e-1, -.35093678009090186851e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
631 .61067668299848923244e-1, .14547915466597622925e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
632 -.58015667638415922967e-1, .31929089844361042178e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
633 .47527977686242313065e-1, -.15480559452075811600e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
634 -.29071311049368895844e-1, .13886961667516983541e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
635 .48780095920069827068e-2, .51591759101720291381e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
636 .11747497650231330965e-1, -.31777863364694653331e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
637 -.34555825499804605557e-2, .47914131921157015198e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
638 -.22573685920142225247e-1, -.45320344390022666738e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
639 .49660630547172186418e-1, .25707858143963615736e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
640 -.68132707341917233933e-1, .67534860185243140399e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
641 .69268150370037450063e-1, -.41585011920451477177e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
642 -.51622397460510041271e-1, .68408139576363036148e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
643 .18981259024768933323e-1, -.78265472429342305554e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
644 .18981259024768933323e-1, .68408139576363036148e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
645 -.51622397460510041271e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
646 -.41585011920451477177e-1, .69268150370037450063e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
647 .67534860185243140399e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
648 -.68132707341917233933e-1, .25707858143963615736e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
649 .49660630547172186418e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
650 -.45320344390022666738e-1, -.22573685920142225247e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
651 .47914131921157015198e-1, -.34555825499804605557e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
652 -.31777863364694653331e-1, .11747497650231330965e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
653 .51591759101720291381e-2, -.54365757412741340377e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
654 -.94862516619529080191e-2, .33240472093448190877e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
655 -.88698898099681552229e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
656 -.40973252097216337576e-1, .42995673349795657065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
657 .17320914507876958783e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
658 -.62201292691914856803e-1, .24726274174637346693e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
659 .51320859246515407288e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
660 -.62882063373810501763e-1, -.11003569131725622672e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
661 .73842261324108943465e-1, -.39240120294802923208e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
662 -.49293966443941122807e-1, .73552644778818223475e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
663 -.73552644778818223475e-1, .49293966443941122807e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
664 .39240120294802923208e-1, -.73842261324108943465e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
665 .11003569131725622672e-1, .62882063373810501763e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
666 -.51320859246515407288e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
667 -.24726274174637346693e-1, .62201292691914856803e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
668 -.17320914507876958783e-1, -.42995673349795657065e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
669 .40973252097216337576e-1, .88698898099681552229e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
670 -.33240472093448190877e-1, .94862516619529080191e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
671 .54365757412741340377e-2, .57750194549356126240e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
672 .69981166020044116791e-2, -.33274982140403110792e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
673 .20297071020698356116e-1, .27898517839646066582e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
674 -.53368678853282030262e-1, .16656482990394548343e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
675 .46342901447260614255e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
676 -.60536796508149003365e-1, .29109107483842596340e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
677 .63224486124385124504e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
678 -.59028872851312033411e-1, -.14783105962696191734e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
679 .74269399241069253865e-1, -.49053677339382384625e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
680 -.33525466624811186739e-1, .78397349622515386647e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
681 -.33525466624811186739e-1, -.49053677339382384625e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
682 .74269399241069253865e-1, -.14783105962696191734e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
683 -.59028872851312033411e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
684 .63224486124385124504e-1, .29109107483842596340e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
685 -.60536796508149003365e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
686 .46342901447260614255e-1, .16656482990394548343e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
687 -.53368678853282030262e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
688 .27898517839646066582e-1, .20297071020698356116e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
689 -.33274982140403110792e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
690 .69981166020044116791e-2, .57750194549356126240e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
691 -.61100308370519200637e-2, -.44383614355738148616e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
692 .32011283412619094811e-1, -.29965011866372897633e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
693 -.10560682331349193348e-1, .51110336443392506342e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
694 -.45012284729681775492e-1, -.94236825555873320102e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
695 .60860695783141264746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
696 -.55014628647083368926e-1, -.73474782382499482121e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
697 .66640148475243034781e-1, -.62533116045749887988e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
698 -.38650525912400102585e-2, .68429769005837003777e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
699 -.66984505412544901945e-1, 0.0, .66984505412544901945e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
700 -.68429769005837003777e-1, .38650525912400102585e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
701 .62533116045749887988e-1, -.66640148475243034781e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
702 .73474782382499482121e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
703 .55014628647083368926e-1, -.60860695783141264746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
704 .94236825555873320102e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
705 .45012284729681775492e-1, -.51110336443392506342e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
706 .10560682331349193348e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
707 .29965011866372897633e-1, -.32011283412619094811e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
708 .44383614355738148616e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
709 .61100308370519200637e-2, .65409373892036191538e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
710 .16350101107071157065e-2, -.29301957285983144319e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
711 .36838667173388832579e-1, -.81922703976491586393e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
712 -.36955670021050133434e-1, .58374851095540469865e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
713 -.31977016246946181856e-1, -.25311073698658094646e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
714 .66674413950106952577e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
715 -.54865713324521039571e-1, -.39797027891537985440e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
716 .62830285264808449064e-1, -.72226313251296100676e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
717 .22560232697133353980e-1, .46455784709904033738e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
718 -.78200930751070349956e-1, .46455784709904033738e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
719 .22560232697133353980e-1, -.72226313251296100676e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
720 .62830285264808449064e-1, -.39797027891537985440e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
721 -.54865713324521039571e-1, .66674413950106952577e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
722 -.25311073698658094646e-1, -.31977016246946181856e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
723 .58374851095540469865e-1, -.36955670021050133434e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
724 -.81922703976491586393e-2, .36838667173388832579e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
725 -.29301957285983144319e-1, .16350101107071157065e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
726 .65409373892036191538e-2, -.69686180931868703196e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
727 .11849538727632789870e-2, .25452286414610537766e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
728 -.40522480651713943230e-1, .25694679053362813183e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
729 .14057118113748390637e-1, -.52037614725803488893e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
730 .58849342223684035589e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
731 -.25075229077361409271e-1, -.29559771094034181083e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
732 .68296746944165720199e-1, -.62890462146423984955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
733 .14457636466274596445e-1, .45787612031322361496e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
734 -.77231759014655809742e-1, .57881203613910543657e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
735 -.57881203613910543657e-1, .77231759014655809742e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
736 -.45787612031322361496e-1, -.14457636466274596445e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
737 .62890462146423984955e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
738 -.68296746944165720199e-1, .29559771094034181083e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
739 .25075229077361409271e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
740 -.58849342223684035589e-1, .52037614725803488893e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
741 -.14057118113748390637e-1, -.25694679053362813183e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
742 .40522480651713943230e-1, -.25452286414610537766e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
743 -.11849538727632789870e-2, .69686180931868703196e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
744 .75611653617520254845e-2, -.43290610418608409141e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
745 -.20277062025115566914e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
746 .40362947027704828926e-1, -.38938808024132120254e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
747 .11831186195916702262e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
748 .28476667401744525357e-1, -.59320969056617684621e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
749 .61101629747436200186e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
750 -.29514834848355389223e-1, -.20668001885001084821e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
751 .62923592802445122793e-1, -.73558456263588833115e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
752 .45314556330160999776e-1, .79031645918426015574e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
753 -.58136953576334689357e-1, .78538474524006405758e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
754 -.58136953576334689357e-1, .79031645918426015574e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
755 .45314556330160999776e-1, -.73558456263588833115e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
756 .62923592802445122793e-1, -.20668001885001084821e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
757 -.29514834848355389223e-1, .61101629747436200186e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
758 -.59320969056617684621e-1, .28476667401744525357e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
759 .11831186195916702262e-1, -.38938808024132120254e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
760 .40362947027704828926e-1, -.20277062025115566914e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
761 -.43290610418608409141e-2, .75611653617520254845e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
762 -.81505692478987769484e-2, .74297333588288568430e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
763 .14314212513540223314e-1, -.36711242251332751607e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
764 .46240027755503814626e-1, -.34921532671769023773e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
765 .46930051972353714773e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
766 .32842770336385381562e-1, -.61317813706529588466e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
767 .67000809902468893103e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
768 -.45337449655535622885e-1, .35794459576271920867e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
769 .41830061526027213385e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
770 -.72091371931944711708e-1, .74150028530317793195e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
771 -.46487632538609942002e-1, 0.0, .46487632538609942002e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
772 -.74150028530317793195e-1, .72091371931944711708e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
773 -.41830061526027213385e-1, -.35794459576271920867e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
774 .45337449655535622885e-1, -.67000809902468893103e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
775 .61317813706529588466e-1, -.32842770336385381562e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
776 -.46930051972353714773e-2, .34921532671769023773e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
777 -.46240027755503814626e-1, .36711242251332751607e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
778 -.14314212513540223314e-1, -.74297333588288568430e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
779 .81505692478987769484e-2, .90693182942442189743e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
780 -.11121000903959576737e-1, -.71308296141317458546e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
781 .29219439765986671645e-1, -.45820286629778129593e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
782 .49088381175879124421e-1, -.35614888785023038938e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
783 .78906970900092777895e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
784 .26262843038404929480e-1, -.56143674270125757857e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
785 .71700220472378350694e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
786 -.66963544500697307945e-1, .42215091779892228883e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
787 -.41338867413966866997e-2, -.36164891772995367321e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
788 .66584367783847858225e-1, -.77874712365070098328e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
789 .66584367783847858225e-1, -.36164891772995367321e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
790 -.41338867413966866997e-2, .42215091779892228883e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
791 -.66963544500697307945e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
792 .71700220472378350694e-1, -.56143674270125757857e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
793 .26262843038404929480e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
794 .78906970900092777895e-2, -.35614888785023038938e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
795 .49088381175879124421e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
796 -.45820286629778129593e-1, .29219439765986671645e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
797 -.71308296141317458546e-2, -.11121000903959576737e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
798 .90693182942442189743e-2, -.99848472706332791043e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
799 .14701271465939718856e-1, -.32917820356048383366e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
800 -.19201195309873585230e-1, .38409681836626963278e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
801 -.51647324405878909521e-1, .54522171113149311354e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
802 -.45040302741689006270e-1, .24183738595685990149e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
803 .42204134165479735097e-2, -.34317295181348742251e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
804 .59542472465494579941e-1, -.74135115907618101263e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
805 .74491937840566532596e-1, -.60042604725161994304e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
806 .33437677409000083169e-1, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
807 -.33437677409000083169e-1, .60042604725161994304e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
808 -.74491937840566532596e-1, .74135115907618101263e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
809 -.59542472465494579941e-1, .34317295181348742251e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
810 -.42204134165479735097e-2, -.24183738595685990149e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
811 .45040302741689006270e-1, -.54522171113149311354e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
812 .51647324405878909521e-1, -.38409681836626963278e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
813 .19201195309873585230e-1, .32917820356048383366e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
814 -.14701271465939718856e-1, .99848472706332791043e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
815 .11775579274769383373e-1, -.19892153937316935880e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
816 .95335114477449041055e-2, .57661528440359081617e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
817 -.23382690532380910781e-1, .40237257037170725321e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
818 -.53280289903551636474e-1, .59974361806023689068e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
819 -.58701684061992853224e-1, .49033407111597129616e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
820 -.31818835267847249219e-1, .90800541261162098886e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
821 .16272906819312603838e-1, -.40863896581186229487e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
822 .61346046297517367703e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
823 -.74896047554167268919e-1, .79632642148310325817e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
824 -.74896047554167268919e-1, .61346046297517367703e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
825 -.40863896581186229487e-1, .16272906819312603838e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
826 .90800541261162098886e-2, -.31818835267847249219e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
827 .49033407111597129616e-1, -.58701684061992853224e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
828 .59974361806023689068e-1, -.53280289903551636474e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
829 .40237257037170725321e-1, -.23382690532380910781e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
830 .57661528440359081617e-2, .95335114477449041055e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
831 -.19892153937316935880e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
832 .11775579274769383373e-1, -.13562702617218467450e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
833 .24885419969649845849e-1, -.18368693901908875583e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
834 .81673147806084084638e-2, .47890591326129587131e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
835 -.19313752945227974024e-1, .34065953398362954708e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
836 -.47667045133463415672e-1, .58820377816690514309e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
837 -.66424139824618415970e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
838 .69667606260856092515e-1, -.68102459384364543253e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
839 .61683024923302547971e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
840 -.50771943476441639136e-1, .36110771847327189215e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
841 -.18758028464284563358e-1, 0.0, .18758028464284563358e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
842 -.36110771847327189215e-1, .50771943476441639136e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
843 -.61683024923302547971e-1, .68102459384364543253e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
844 -.69667606260856092515e-1, .66424139824618415970e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
845 -.58820377816690514309e-1, .47667045133463415672e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
846 -.34065953398362954708e-1, .19313752945227974024e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
847 -.47890591326129587131e-2, -.81673147806084084638e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
848 .18368693901908875583e-1, -.24885419969649845849e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
849 .13562702617218467450e-1, .20576545037980523979e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
850 -.40093155172981004337e-1, .36954083167944054826e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
851 -.31856506837591907746e-1, .24996323181546255126e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
852 -.16637165210473614136e-1, .71002706773325085237e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
853 .32478629093205201133e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
854 -.14009562579050569518e-1, .24771262248780618922e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
855 -.35119395835433647559e-1, .44656290368574753171e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
856 -.53015448339647394161e-1, .59875631995693046782e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
857 -.64973208326045193862e-1, .68112280331082143373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
858 -.69172215234062186994e-1, .68112280331082143373e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
859 -.64973208326045193862e-1, .59875631995693046782e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
860 -.53015448339647394161e-1, .44656290368574753171e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
861 -.35119395835433647559e-1, .24771262248780618922e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
862 -.14009562579050569518e-1, .32478629093205201133e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
863 .71002706773325085237e-2, -.16637165210473614136e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
864 .24996323181546255126e-1, -.31856506837591907746e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
865 .36954083167944054826e-1, -.40093155172981004337e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
866 .20576545037980523979e-1, -.27584914609096156163e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
867 .54904171411058497973e-1, -.54109756419563083153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
868 .52794234894345577483e-1, -.50970276026831042415e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
869 .48655445537990983379e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
870 -.45872036510847994332e-1, .42646854695899611372e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
871 -.39010960357087507670e-1, .34999369144476467749e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
872 -.30650714874402762189e-1, .26006877464703437057e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
873 -.21112579608213651273e-1, .16014956068786763273e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
874 -.10763099747751940252e-1, .54075888924374485533e-2, 0.0, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
875 -.54075888924374485533e-2, .10763099747751940252e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
876 -.16014956068786763273e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
877 .21112579608213651273e-1, -.26006877464703437057e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
878 .30650714874402762189e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
879 -.34999369144476467749e-1, .39010960357087507670e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
880 -.42646854695899611372e-1, .45872036510847994332e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
881 -.48655445537990983379e-1, .50970276026831042415e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
882 -.52794234894345577483e-1, .54109756419563083153e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
883 -.54904171411058497973e-1, .27584914609096156163e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
884 .13794141262469565740e-1, -.27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
885 .27588282524939131481e-1, -.27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
886 .27588282524939131481e-1, -.27588282524939131481e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
887 .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, .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, .13794141262469565740e-1 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
901 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
902 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
903 static const double Tleft[33 * 33] = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
904 { |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
905 1., -.86602540378443864678, 0., .33071891388307382381, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
906 -.20728904939721249057, 0., .15128841196122722208, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
907 -.11918864298744029244, 0., .98352013661686631224e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
908 -.83727065404940845733e-1, 0., .72893399403505841203e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
909 -.64544632643375022436e-1, 0., .57913170372415565639e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
910 -.52518242575729562263e-1, 0., .48043311993977520457e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
911 -.44271433659733990243e-1, 0., .41048928022856771981e-1, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
912 -.38263878662008271459e-1, 0., .35832844026365304501e-1, 0., 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
913 .50000000000000000000, -.96824583655185422130, .57282196186948000082, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
914 .21650635094610966169, -.35903516540862679125, -.97578093724974971969e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
915 .26203921611325660506, .55792409597991015609e-1, -.20644078533943456204, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
916 -.36172381205961199479e-1, .17035068468874958194, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
917 .25371838001497225980e-1, -.14501953125000000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
918 -.18786835250972344757e-1, .12625507130328301066, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
919 .14473795929590520582e-1, -.11179458309419422675, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
920 -.11494434254897626155e-1, .10030855351241635862, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
921 .93498556820544479096e-2, -.90964264465390582629e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
922 -.77546391824364392762e-2, .83213457337452292745e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
923 .65358085945588638605e-2, -.76680372422574234569e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
924 -.55835321940047427169e-2, .71098828931825789428e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
925 .48253327982967591019e-2, -.66274981937248958553e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
926 -.42118078245337801387e-2, .62064306433355646267e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
927 .37083386598903548973e-2, 0., 0., .25000000000000000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
928 -.73950997288745200531, .83852549156242113615, -.23175620272173946716, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
929 -.37791833195149451496, .25710129174850522325, .21608307321780204633, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
930 -.22844049245646009157, -.14009503000335388415, .19897685605518413847, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
931 .98264706042471226893e-1, -.17445445004279014046, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
932 -.72761100054958328401e-1, .15463589893742108388, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
933 .56056770591708784481e-1, -.13855313872640495158, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
934 -.44517752443294564781e-1, .12534277657695128850, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
935 .36211835346039665762e-1, -.11434398255136139683, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
936 -.30033588409423828125e-1, .10506705408753910481, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
937 .25313077840725783008e-1, -.97149327637744872155e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
938 -.21624927200393328444e-1, .90319582367202122625e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
939 .18688433567711780666e-1, -.84372291635345108584e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
940 -.16312261561845420752e-1, .79149526894804751586e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
941 .14362333871852474757e-1, 0., 0., 0., .12500000000000000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
942 -.49607837082461073572, .82265291131801144317, -.59621200088559103072, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
943 -.80054302859059362371e-1, .42612156697795759420, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
944 -.90098145270865592887e-1, -.29769623255090078484, .13630307904779758221, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
945 .21638835185708931831, -.14600247270306082052, -.16348801804014290453, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
946 .14340708728599057249, .12755243353979286190, -.13661523715071346961, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
947 -.10215585947881057394, .12864248070157166547, .83592528025348693602e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
948 -.12066728689302565222, -.69633728678718053052e-1, .11314245177331919532, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
949 .58882939251410088028e-1, -.10621835858758221487, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
950 -.50432266865187597572e-1, .99916834723527771581e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
951 .43672094283057258509e-1, -.94206380251950852413e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
952 -.38181356812697746418e-1, .89035739656537771225e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
953 .33661934598216332678e-1, 0., 0., 0., 0., .62500000000000000000e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
954 -.31093357409581873586, .67604086414949799246, -.75644205980613611039, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
955 .28990586430124175741, .30648508196770360914, -.35801372616842500052, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
956 -.91326869828709014708e-1, .31127929687500000000, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
957 -.90915752838698393094e-2, -.25637381283965534330, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
958 .57601077850322797594e-1, .21019685709225757945, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
959 -.81244992138514014256e-1, -.17375078516720988858, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
960 .92289437277967051125e-1, .14527351914265391374, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
961 -.96675340792832019889e-1, -.12289485697108543415, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
962 .97448175340011084006e-1, .10511755943298339844, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
963 -.96242247086378239657e-1, -.90822942272780513537e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
964 .93966350452322132384e-1, .79189411876493712558e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
965 -.91139307067989309325e-1, -.69613039934383197265e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
966 .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
|
967 .31250000000000000000e-1, -.18684782411095934408, .50176689760410660236, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
968 -.74784031498626095398, .56472001151566251186, .14842464993721351203e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
969 -.41162920273003120936, .20243071230196532282, .23772054897172750436, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
970 -.24963810923972235950, -.12116179938394678936, .24330535483519110663, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
971 .47903849781124471359e-1, -.22133299683101224293, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
972 -.20542915138527200983e-2, .19653465717678146728, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
973 -.26818172626509178444e-1, -.17319122357631210944, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
974 .45065391411065545445e-1, .15253391395444065941, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
975 -.56543897711725408302e-1, -.13469154928743585367, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
976 .63632471400208840155e-1, .11941684923913523817, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
977 -.67828850207933293098e-1, -.10636309084510652670, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
978 .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
|
979 0., .15625000000000000000e-1, -.10909562534194485289, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
980 .34842348626527747318, -.64461114561628111443, .69382480527334683659, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
981 -.29551102358528827763, -.25527584713978439819, .38878771718544715394, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
982 -.82956185835347407489e-2, -.31183177761966943912, .12831420840372374767, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
983 .22067618205599434368, -.17569196937129496961, -.14598057000132284135, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
984 .18864406621763419484, .89921002550386645767e-1, -.18571835020187122114, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
985 -.48967672227195481777e-1, .17584685670380332798, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
986 .19267984545067426324e-1, -.16335437520503462738, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
987 .22598055455032407594e-2, .15032800884170631129, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
988 -.17883358353754640871e-1, -.13774837869432209951, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
989 .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
|
990 0., .78125000000000000000e-2, -.62377810244809812496e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
991 .23080781467370883845, -.50841310636012325368, .69834547012574056043, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
992 -.52572723156526459672, .11464215704954976471e-1, .38698869011491210342, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
993 -.26125646622255207507, -.16951698812361607510, .29773875898928782269, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
994 .20130501202570367491e-1, -.26332493149159310198, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
995 .67734613690401207009e-1, .21207315477103762715, -.11541543390889415193, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
996 -.16249634759782417533, .13885887405041735068, .11996491328010275427, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
997 -.14810432001630926895, -.85177658352556243411e-1, .14918860659904380587, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
998 .57317789510444151564e-1, -.14569827645586660151, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
999 -.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
|
1000 0., 0., .39062500000000000000e-2, -.35101954600803571207e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1001 .14761284084133737720, -.37655033076080192966, .62410290231517322776, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1002 -.64335622317683389875, .28188168266139524244, .22488495672137010675, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1003 -.39393811089283576186, .75184777995770096714e-1, .28472023119398293003, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1004 -.20410910833705899572, -.15590046962908511750, .23814567544617953125, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1005 .54442805556829031204e-1, -.22855930338589720954, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1006 .16303223615756629897e-1, .20172722433875559213, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1007 -.62723406421217419404e-1, -.17012230831020922010, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1008 .91754642766136561612e-1, .13927644821381121197, -.10886600968068418181, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1009 -.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
|
1010 0., 0., .19531250000000000000e-2, -.19506820659607596598e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1011 .91865676095362231937e-1, -.26604607809696493849, .51425874205091288223, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1012 -.66047561132505329292, .48660109511591303851, -.17575661168678285615e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1013 -.36594333408055703366, .29088854695378694533, .11318677346656537927, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1014 -.31110645235730182168, .60733219161008787341e-1, .24333848233620420826, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1015 -.15254312332655419708, -.15995968483455388613, .19010344455215289289, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1016 .86040636766440260000e-1, -.19652589954665259945, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1017 -.27633388517205837713e-1, .18660848552712880387, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1018 -.15942583868416775867e-1, -.16902042462382064786, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1019 .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
|
1020 .97656250000000000000e-3, -.10731084460857378207e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1021 .55939644713816406331e-1, -.18118487371914493668, .39914857299829864263, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1022 -.60812322949933902435, .60011887183061967583, -.26002695805835928795, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1023 -.20883922404786010096, .38988130966114638081, -.11797833550782589082, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1024 -.25231824756239520077, .24817859972953934712, .90516417677868996417e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1025 -.26079073291293066798, .30259468817169480161e-1, .22178195264114178432, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1026 -.10569877864302048175, -.16679648389266977455, .14637718550245050850, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1027 .11219272032739559870, -.16359363640525750353, -.64358194509092101393e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1028 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
|
1029 -.58542865274813470967e-2, .33461741635290096452e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1030 -.11979993155896201271, .29580223766987206958, -.51874761979436016742, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1031 .62861483498014306968, -.44868895761051453296, .12567502628371529386e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1032 .35040366183235474275, -.30466868455569500886, -.70903913601490112666e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1033 .30822791893032512740, -.11969443264190207736, -.20764760317621313946, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1034 .20629838355452128532, .95269702915334718507e-1, -.22432624768705133300, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1035 -.33103381593477797101e-2, .20570036048155716333, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1036 -.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
|
1037 0., 0., 0., 0., 0., 0., .24414062500000000000e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1038 -.31714797501871532475e-2, .19721062526127334100e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1039 -.77311181185536498246e-1, .21124871792841566575, -.41777980401893650886, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1040 .59401977834943551650, -.56132417807488349048, .23433675061367565951, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1041 .20222775295220942126, -.38280372496506190127, .14443804214023095767, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1042 .22268950939178466797, -.27211314150777981984, -.34184876506180717313e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1043 .26006498895669734842, -.97650425186005090107e-1, -.19024527660129101293, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1044 .16789164198044635671, .10875811641651905252, -.19276785058805921298, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1045 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
|
1046 -.17078941137247586143e-2, .11477733754843910060e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1047 -.48887017020924625462e-1, .14634927241421789683, -.32156282683019547854, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1048 .52165811920227223937, -.60001958466396926460, .41208501541480733755, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1049 -.11366945503190350975e-2, -.33968093962672089159, .30955190935923386766, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1050 .40657421856578262210e-1, -.29873400409871531764, .16094481791768257440, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1051 .16876122436206497694, -.23650217045022161255, -.33070260090574765012e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1052 .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
|
1053 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
|
1054 -.91501857608428649078e-3, .66085179496951987952e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1055 -.30383171695850355404e-1, .98840838845366876117e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1056 -.23855447246420318989, .43322017468145613917, -.58049033744876107191, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1057 .52533893203742699346, -.20681056202371946180, -.20180000924562504384, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1058 .37503922291962681797, -.15988102869837429062, -.19823558102762374094, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1059 .28393023878803799622, -.11188133439357510403e-1, -.24730368377168229255, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1060 .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
|
1061 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
|
1062 -.48804277318479845551e-3, .37696080990601968396e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1063 -.18603912108994738255e-1, .65325006755649582964e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1064 -.17162960707938819795, .34411527956476971322, -.52289350347082497959, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1065 .57319653625674910592, -.37662253421045430413, -.14099055105384663902e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1066 .33265570610216904208, -.30921265572647566661, -.19911390594166455281e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1067 .28738590811031797718, -.18912130469738472647, -.13235936203215819193, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1068 .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
|
1069 0., 0., 0., .15258789062500000000e-4, -.25928719280954633249e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1070 .21327398937568540428e-2, -.11244626133630732010e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1071 .42375605740664331966e-1, -.12031130345907846211, .26352562258934426830, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1072 -.44590628258512682078, .56682835613700749379, -.49116715128261660395, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1073 .17845943097110339078, .20541650677432497477, -.36739803642257458221, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1074 .16776034069210108273, .17920950989905112908, -.28867732805385066532, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1075 .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
|
1076 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
|
1077 .11979683091449349286e-2, -.67195313034570709806e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1078 .27044920779931968175e-1, -.82472196498517457862e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1079 .19570475044896150093, -.36391620788543817693, .52241392782736588032, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1080 -.54727504974907879912, .34211551468813581183, .31580472732719957762e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1081 -.32830006549176759667, .30563797665254420769, .64905014620683140120e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1082 -.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
|
1083 0., 0., 0., 0., 0., 0., .38146972656250000000e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1084 -.72454147007837596854e-4, .66859847582761390285e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1085 -.39751311980366118437e-2, .17015198650201528366e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1086 -.55443621868993855715e-1, .14157060481641692131, -.28641242619559616836, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1087 .45610665490966615415, -.55262786406029265394, .45818352706035500108, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1088 -.14984403004611673047, -.21163807462970713245, .36007252928843413718, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1089 -.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
|
1090 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
|
1091 -.38135049864067468562e-4, .37101393638555730015e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1092 -.23305339886279723213e-2, .10569913448297127219e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1093 -.36640175162216897547e-1, .10010476414320235508, -.21860074212675559892, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1094 .38124757096345313719, -.52020999209879669177, .52172632730659212045, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1095 -.30841620620308814614, -.50322546186721500184e-1, .32577618885114899053, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1096 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
|
1097 0., 0., .95367431640625000000e-6, -.20021483206955925244e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1098 .20481807322420625431e-3, -.13553476938058909882e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1099 .64919676350791905019e-2, -.23848725425069251903e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1100 .69384632678886421292e-1, -.16249711393618776934, .30736618106830314788, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1101 -.46399909601971539157, .53765031034002467225, -.42598991476520183929, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1102 .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
|
1103 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
|
1104 -.10487707828484902486e-4, .11254146162337528943e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1105 -.78248929534271987118e-3, .39468337145306794566e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1106 -.15313546659475671763e-1, .47249070825218564146e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1107 -.11804374107101480543, .24031796927792491122, -.39629215049166341285, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1108 .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
|
1109 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
|
1110 .23841857910156250000e-6, -.54823314130625337326e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1111 .61575377321535518154e-4, -.44877834366497538134e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1112 .23774612048621955857e-2, -.97136347645161687796e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1113 .31671599547606636717e-1, -.84028665767000747480e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1114 .18298487576742964949, -.32647878537696945218, .46970971486488895077, 0., |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1115 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
|
1116 0., 0., 0., 0., .11920928955078125000e-6, -.28604020001177375838e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1117 .33559227978295551013e-4, -.25583821662860610560e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1118 .14201552747787302339e-2, -.60938046986874414969e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1119 .20930869247951926793e-1, -.58745021125678072911e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1120 .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
|
1121 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
|
1122 .59604644775390625000e-7, -.14898180663526043291e-5, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1123 .18224991282807693921e-4, -.14504433444608833821e-3, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1124 .84184722720281809548e-3, -.37846965430000478789e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1125 .13656355548211376864e-1, -.40409541997718853934e-1, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1126 .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
|
1127 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
|
1128 .29802322387695312500e-7, -.77471708843445529468e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1129 .98649879372606876995e-5, -.81814934772838523887e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1130 .49554483992403011328e-3, -.23290922072351413938e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1131 .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
|
1132 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
|
1133 0., 0., 0., .14901161193847656250e-7, -.40226235946098233685e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1134 .53236418690561306700e-5, -.45933829691164002269e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1135 .28982005232838857913e-3, -.14212974043211018374e-2, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1136 .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
|
1137 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
|
1138 .74505805969238281250e-8, -.20858299254133430408e-6, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1139 .28648457300134381744e-5, -.25677535898258910850e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1140 .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
|
1141 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
|
1142 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
|
1143 .15376606719887104015e-5, -.14296523739727437959e-4, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1144 .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
|
1145 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
|
1146 .18626451492309570312e-8, -.55871592916438890146e-7, |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1147 .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
|
1148 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
|
1149 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
|
1150 -.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
|
1151 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
|
1152 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
|
1153 -.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
|
1154 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
|
1155 0., 0., .23283064365386962891e-9 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1156 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1157 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1158 static const double Tright[33 * 33] = |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1159 { |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1160 1., .86602540378443864678, 0., -.33071891388307382381, 0., |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1161 .20728904939721249057, 0., -.15128841196122722208, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1162 .11918864298744029244, 0., -.98352013661686631224e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1163 .83727065404940845733e-1, 0., -.72893399403505841203e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1164 .64544632643375022436e-1, 0., -.57913170372415565639e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1165 .52518242575729562263e-1, 0., -.48043311993977520457e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1166 .44271433659733990243e-1, 0., -.41048928022856771981e-1, 0., |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1167 .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
|
1168 .50000000000000000000, .96824583655185422130, .57282196186948000082, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1169 -.21650635094610966169, -.35903516540862679125, .97578093724974971969e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1170 .26203921611325660506, -.55792409597991015609e-1, -.20644078533943456204, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1171 .36172381205961199479e-1, .17035068468874958194, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1172 -.25371838001497225980e-1, -.14501953125000000000, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1173 .18786835250972344757e-1, .12625507130328301066, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1174 -.14473795929590520582e-1, -.11179458309419422675, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1175 .11494434254897626155e-1, .10030855351241635862, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1176 -.93498556820544479096e-2, -.90964264465390582629e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1177 .77546391824364392762e-2, .83213457337452292745e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1178 -.65358085945588638605e-2, -.76680372422574234569e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1179 .55835321940047427169e-2, .71098828931825789428e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1180 -.48253327982967591019e-2, -.66274981937248958553e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1181 .42118078245337801387e-2, .62064306433355646267e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1182 -.37083386598903548973e-2, 0., 0., .25000000000000000000, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1183 .73950997288745200531, .83852549156242113615, .23175620272173946716, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1184 -.37791833195149451496, -.25710129174850522325, .21608307321780204633, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1185 .22844049245646009157, -.14009503000335388415, -.19897685605518413847, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1186 .98264706042471226893e-1, .17445445004279014046, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1187 -.72761100054958328401e-1, -.15463589893742108388, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1188 .56056770591708784481e-1, .13855313872640495158, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1189 -.44517752443294564781e-1, -.12534277657695128850, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1190 .36211835346039665762e-1, .11434398255136139683, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1191 -.30033588409423828125e-1, -.10506705408753910481, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1192 .25313077840725783008e-1, .97149327637744872155e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1193 -.21624927200393328444e-1, -.90319582367202122625e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1194 .18688433567711780666e-1, .84372291635345108584e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1195 -.16312261561845420752e-1, -.79149526894804751586e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1196 .14362333871852474757e-1, 0., 0., 0., .12500000000000000000, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1197 .49607837082461073572, .82265291131801144317, .59621200088559103072, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1198 -.80054302859059362371e-1, -.42612156697795759420, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1199 -.90098145270865592887e-1, .29769623255090078484, .13630307904779758221, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1200 -.21638835185708931831, -.14600247270306082052, .16348801804014290453, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1201 .14340708728599057249, -.12755243353979286190, -.13661523715071346961, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1202 .10215585947881057394, .12864248070157166547, -.83592528025348693602e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1203 -.12066728689302565222, .69633728678718053052e-1, .11314245177331919532, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1204 -.58882939251410088028e-1, -.10621835858758221487, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1205 .50432266865187597572e-1, .99916834723527771581e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1206 -.43672094283057258509e-1, -.94206380251950852413e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1207 .38181356812697746418e-1, .89035739656537771225e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1208 -.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
|
1209 .31093357409581873586, .67604086414949799246, .75644205980613611039, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1210 .28990586430124175741, -.30648508196770360914, -.35801372616842500052, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1211 .91326869828709014708e-1, .31127929687500000000, .90915752838698393094e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1212 -.25637381283965534330, -.57601077850322797594e-1, .21019685709225757945, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1213 .81244992138514014256e-1, -.17375078516720988858, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1214 -.92289437277967051125e-1, .14527351914265391374, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1215 .96675340792832019889e-1, -.12289485697108543415, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1216 -.97448175340011084006e-1, .10511755943298339844, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1217 .96242247086378239657e-1, -.90822942272780513537e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1218 -.93966350452322132384e-1, .79189411876493712558e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1219 .91139307067989309325e-1, -.69613039934383197265e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1220 -.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
|
1221 .31250000000000000000e-1, .18684782411095934408, .50176689760410660236, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1222 .74784031498626095398, .56472001151566251186, -.14842464993721351203e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1223 -.41162920273003120936, -.20243071230196532282, .23772054897172750436, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1224 .24963810923972235950, -.12116179938394678936, -.24330535483519110663, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1225 .47903849781124471359e-1, .22133299683101224293, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1226 -.20542915138527200983e-2, -.19653465717678146728, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1227 -.26818172626509178444e-1, .17319122357631210944, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1228 .45065391411065545445e-1, -.15253391395444065941, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1229 -.56543897711725408302e-1, .13469154928743585367, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1230 .63632471400208840155e-1, -.11941684923913523817, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1231 -.67828850207933293098e-1, .10636309084510652670, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1232 .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
|
1233 0., .15625000000000000000e-1, .10909562534194485289, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1234 .34842348626527747318, .64461114561628111443, .69382480527334683659, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1235 .29551102358528827763, -.25527584713978439819, -.38878771718544715394, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1236 -.82956185835347407489e-2, .31183177761966943912, .12831420840372374767, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1237 -.22067618205599434368, -.17569196937129496961, .14598057000132284135, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1238 .18864406621763419484, -.89921002550386645767e-1, -.18571835020187122114, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1239 .48967672227195481777e-1, .17584685670380332798, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1240 -.19267984545067426324e-1, -.16335437520503462738, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1241 -.22598055455032407594e-2, .15032800884170631129, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1242 .17883358353754640871e-1, -.13774837869432209951, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1243 -.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
|
1244 0., .78125000000000000000e-2, .62377810244809812496e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1245 .23080781467370883845, .50841310636012325368, .69834547012574056043, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1246 .52572723156526459672, .11464215704954976471e-1, -.38698869011491210342, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1247 -.26125646622255207507, .16951698812361607510, .29773875898928782269, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1248 -.20130501202570367491e-1, -.26332493149159310198, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1249 -.67734613690401207009e-1, .21207315477103762715, .11541543390889415193, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1250 -.16249634759782417533, -.13885887405041735068, .11996491328010275427, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1251 .14810432001630926895, -.85177658352556243411e-1, -.14918860659904380587, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1252 .57317789510444151564e-1, .14569827645586660151, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1253 -.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
|
1254 0., 0., .39062500000000000000e-2, .35101954600803571207e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1255 .14761284084133737720, .37655033076080192966, .62410290231517322776, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1256 .64335622317683389875, .28188168266139524244, -.22488495672137010675, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1257 -.39393811089283576186, -.75184777995770096714e-1, .28472023119398293003, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1258 .20410910833705899572, -.15590046962908511750, -.23814567544617953125, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1259 .54442805556829031204e-1, .22855930338589720954, .16303223615756629897e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1260 -.20172722433875559213, -.62723406421217419404e-1, .17012230831020922010, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1261 .91754642766136561612e-1, -.13927644821381121197, -.10886600968068418181, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1262 .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
|
1263 0., 0., .19531250000000000000e-2, .19506820659607596598e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1264 .91865676095362231937e-1, .26604607809696493849, .51425874205091288223, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1265 .66047561132505329292, .48660109511591303851, .17575661168678285615e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1266 -.36594333408055703366, -.29088854695378694533, .11318677346656537927, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1267 .31110645235730182168, .60733219161008787341e-1, -.24333848233620420826, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1268 -.15254312332655419708, .15995968483455388613, .19010344455215289289, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1269 -.86040636766440260000e-1, -.19652589954665259945, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1270 .27633388517205837713e-1, .18660848552712880387, .15942583868416775867e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1271 -.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
|
1272 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
|
1273 .55939644713816406331e-1, .18118487371914493668, .39914857299829864263, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1274 .60812322949933902435, .60011887183061967583, .26002695805835928795, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1275 -.20883922404786010096, -.38988130966114638081, -.11797833550782589082, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1276 .25231824756239520077, .24817859972953934712, -.90516417677868996417e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1277 -.26079073291293066798, -.30259468817169480161e-1, .22178195264114178432, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1278 .10569877864302048175, -.16679648389266977455, -.14637718550245050850, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1279 .11219272032739559870, .16359363640525750353, -.64358194509092101393e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1280 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
|
1281 .58542865274813470967e-2, .33461741635290096452e-1, .11979993155896201271, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1282 .29580223766987206958, .51874761979436016742, .62861483498014306968, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1283 .44868895761051453296, .12567502628371529386e-1, -.35040366183235474275, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1284 -.30466868455569500886, .70903913601490112666e-1, .30822791893032512740, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1285 .11969443264190207736, -.20764760317621313946, -.20629838355452128532, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1286 .95269702915334718507e-1, .22432624768705133300, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1287 -.33103381593477797101e-2, -.20570036048155716333, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1288 -.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
|
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175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1290 .31714797501871532475e-2, .19721062526127334100e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1291 .77311181185536498246e-1, .21124871792841566575, .41777980401893650886, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1292 .59401977834943551650, .56132417807488349048, .23433675061367565951, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1293 -.20222775295220942126, -.38280372496506190127, -.14443804214023095767, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1294 .22268950939178466797, .27211314150777981984, -.34184876506180717313e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1295 -.26006498895669734842, -.97650425186005090107e-1, .19024527660129101293, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1296 .16789164198044635671, -.10875811641651905252, -.19276785058805921298, 0., |
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
|
1298 .17078941137247586143e-2, .11477733754843910060e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1299 .48887017020924625462e-1, .14634927241421789683, .32156282683019547854, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1300 .52165811920227223937, .60001958466396926460, .41208501541480733755, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1301 .11366945503190350975e-2, -.33968093962672089159, -.30955190935923386766, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1302 .40657421856578262210e-1, .29873400409871531764, .16094481791768257440, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1303 -.16876122436206497694, -.23650217045022161255, .33070260090574765012e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1304 .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
|
1305 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
|
1306 .91501857608428649078e-3, .66085179496951987952e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1307 .30383171695850355404e-1, .98840838845366876117e-1, .23855447246420318989, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1308 .43322017468145613917, .58049033744876107191, .52533893203742699346, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1309 .20681056202371946180, -.20180000924562504384, -.37503922291962681797, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1310 -.15988102869837429062, .19823558102762374094, .28393023878803799622, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1311 .11188133439357510403e-1, -.24730368377168229255, -.14731529061377942839, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1312 .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
|
1313 0., 0., .30517578125000000000e-4, .48804277318479845551e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1314 .37696080990601968396e-2, .18603912108994738255e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1315 .65325006755649582964e-1, .17162960707938819795, .34411527956476971322, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1316 .52289350347082497959, .57319653625674910592, .37662253421045430413, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1317 -.14099055105384663902e-1, -.33265570610216904208, -.30921265572647566661, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1318 .19911390594166455281e-1, .28738590811031797718, .18912130469738472647, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1319 -.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
|
1320 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
|
1321 .25928719280954633249e-3, .21327398937568540428e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1322 .11244626133630732010e-1, .42375605740664331966e-1, .12031130345907846211, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1323 .26352562258934426830, .44590628258512682078, .56682835613700749379, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1324 .49116715128261660395, .17845943097110339078, -.20541650677432497477, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1325 -.36739803642257458221, -.16776034069210108273, .17920950989905112908, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1326 .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
|
1327 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
|
1328 .13727610943181290891e-3, .11979683091449349286e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1329 .67195313034570709806e-2, .27044920779931968175e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1330 .82472196498517457862e-1, .19570475044896150093, .36391620788543817693, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1331 .52241392782736588032, .54727504974907879912, .34211551468813581183, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1332 -.31580472732719957762e-1, -.32830006549176759667, -.30563797665254420769, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1333 .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
|
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175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1335 .72454147007837596854e-4, .66859847582761390285e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1336 .39751311980366118437e-2, .17015198650201528366e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1337 .55443621868993855715e-1, .14157060481641692131, .28641242619559616836, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1338 .45610665490966615415, .55262786406029265394, .45818352706035500108, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1339 .14984403004611673047, -.21163807462970713245, -.36007252928843413718, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1340 -.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
|
1341 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
|
1342 .38135049864067468562e-4, .37101393638555730015e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1343 .23305339886279723213e-2, .10569913448297127219e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1344 .36640175162216897547e-1, .10010476414320235508, .21860074212675559892, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1345 .38124757096345313719, .52020999209879669177, .52172632730659212045, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1346 .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
|
1348 0., 0., .95367431640625000000e-6, .20021483206955925244e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1349 .20481807322420625431e-3, .13553476938058909882e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1350 .64919676350791905019e-2, .23848725425069251903e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1351 .69384632678886421292e-1, .16249711393618776934, .30736618106830314788, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1352 .46399909601971539157, .53765031034002467225, .42598991476520183929, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1353 .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
|
1354 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
|
1355 .10487707828484902486e-4, .11254146162337528943e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1356 .78248929534271987118e-3, .39468337145306794566e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1357 .15313546659475671763e-1, .47249070825218564146e-1, .11804374107101480543, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1358 .24031796927792491122, .39629215049166341285, .51629108968402548545, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1359 .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
|
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175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1361 .54823314130625337326e-5, .61575377321535518154e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1362 .44877834366497538134e-3, .23774612048621955857e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1363 .97136347645161687796e-2, .31671599547606636717e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1364 .84028665767000747480e-1, .18298487576742964949, .32647878537696945218, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1365 .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
|
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175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1367 .28604020001177375838e-5, .33559227978295551013e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1368 .25583821662860610560e-3, .14201552747787302339e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1369 .60938046986874414969e-2, .20930869247951926793e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1370 .58745021125678072911e-1, .13613725780285953720, .26083988356030237586, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1371 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
|
1372 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
|
1373 .14898180663526043291e-5, .18224991282807693921e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1374 .14504433444608833821e-3, .84184722720281809548e-3, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1375 .37846965430000478789e-2, .13656355548211376864e-1, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1376 .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
|
1377 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
|
1378 0., 0., .29802322387695312500e-7, .77471708843445529468e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1379 .98649879372606876995e-5, .81814934772838523887e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1380 .49554483992403011328e-3, .23290922072351413938e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1381 .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
|
1382 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
|
1383 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
|
1384 .53236418690561306700e-5, .45933829691164002269e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1385 .28982005232838857913e-3, .14212974043211018374e-2, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1386 .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
|
1387 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
|
1388 .74505805969238281250e-8, .20858299254133430408e-6, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1389 .28648457300134381744e-5, .25677535898258910850e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1390 .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
|
1391 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
|
1392 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
|
1393 .15376606719887104015e-5, .14296523739727437959e-4, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1394 .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
|
1395 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
|
1396 .18626451492309570312e-8, .55871592916438890146e-7, |
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1397 .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
|
1398 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
|
1399 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
|
1400 .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
|
1401 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
|
1402 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
|
1403 .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
|
1404 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
|
1405 0., 0., .23283064365386962891e-9 |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1406 }; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1407 |
20910 | 1408 // Allocates a workspace for the given maximum number of intervals. |
1409 // 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
|
1410 // error estimates are dropped. The maximum number of intervals is |
20910 | 1411 // therefore not the maximum number of intervals that will be computed, |
1412 // but merely the size of the buffer. | |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1413 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1414 // 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
|
1415 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1416 static void |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1417 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
|
1418 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1419 int i, j; |
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 switch (d) |
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 case 0: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1424 for (i = 0; i <= 4; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1425 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1426 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1427 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
|
1428 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
|
1429 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1430 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1431 case 1: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1432 for (i = 0; i <= 8; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1433 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1434 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1435 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
|
1436 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
|
1437 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1438 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1439 case 2: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1440 for (i = 0; i <= 16; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1441 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1442 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1443 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
|
1444 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
|
1445 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1446 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1447 case 3: |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1448 for (i = 0; i <= 32; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1449 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1450 c[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1451 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
|
1452 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
|
1453 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1454 break; |
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 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1457 |
20910 | 1458 // 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
|
1459 // the nodes with indices in NaNs. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1460 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1461 static void |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1462 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
|
1463 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1464 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
|
1465 double b_new[34], alpha; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1466 int i, j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1467 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1468 for (i = 0; i <= n + 1; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1469 b_new[i] = bee[bidx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1470 for (i = 0; i < nnans; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1471 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1472 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
|
1473 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
|
1474 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
|
1475 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
|
1476 - 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
|
1477 for (j = 0; j <= n; j++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1478 b_new[j] = b_new[j + 1]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1479 alpha = c[n] / b_new[n]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1480 for (j = 0; j < n; j++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1481 c[j] -= alpha * b_new[j]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1482 c[n] = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1483 n--; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1484 } |
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1485 } |
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1486 |
20910 | 1487 // The actual integration routine. |
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1488 |
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1489 DEFMETHOD (quadcc, interp, args, , |
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1490 doc: /* -*- texinfo -*- |
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1491 @deftypefn {} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}) |
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1492 @deftypefnx {} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}, @var{tol}) |
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1493 @deftypefnx {} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing}) |
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1494 @deftypefnx {} {[@var{q}, @var{err}, @var{nr_points}] =} quadcc (@dots{}) |
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1495 Numerically evaluate the integral of @var{f} from @var{a} to @var{b} using |
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1496 doubly-adaptive @nospell{Clenshaw-Curtis} quadrature. |
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1497 |
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1498 @var{f} is a function handle, inline function, or string containing the name |
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1499 of the function to evaluate. The function @var{f} must be vectorized and |
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1500 must return a vector of output values if given a vector of input values. |
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1501 For example, |
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1502 |
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1503 @example |
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1504 f = @@(x) x .* sin (1./x) .* sqrt (abs (1 - x)); |
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1505 @end example |
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1506 |
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1507 @noindent |
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1508 which uses the element-by-element ``dot'' form for all operators. |
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1509 |
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1510 @var{a} and @var{b} are the lower and upper limits of integration. Either or |
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1511 both limits may be infinite. @code{quadcc} handles an infinite limit by |
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1512 substituting the variable of integration with @code{x = tan (pi/2*u)}. |
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1513 |
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1514 The optional argument @var{tol} is a 1- or 2-element vector that specifies the |
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1515 desired accuracy of the result. The first element of the vector is the desired |
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1516 absolute tolerance, and the second element is the desired relative tolerance. |
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1517 To choose a relative test only, set the absolute tolerance to zero. To choose |
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1518 an absolute test only, set the relative tolerance to zero. The default |
24546 | 1519 absolute tolerance is 1e-10 (1e-5 for single), and the default relative |
1520 tolerance is 1e-6 (1e-4 for single). | |
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1521 |
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1522 The optional argument @var{sing} contains a list of points where the integrand |
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1523 has known singularities, or discontinuities in any of its derivatives, inside |
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1524 the integration interval. For the example above, which has a discontinuity at |
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1525 x=1, the call to @code{quadcc} would be as follows |
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1526 |
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1527 @example |
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1528 int = quadcc (f, a, b, [], [ 1 ]); |
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1529 @end example |
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1530 |
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1531 The result of the integration is returned in @var{q}. |
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1532 |
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1533 @var{err} is an estimate of the absolute integration error. |
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1534 |
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1535 @var{nr_points} is the number of points at which the integrand was evaluated. |
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1536 |
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1537 If the adaptive integration did not converge, the value of @var{err} will be |
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1538 larger than the requested tolerance. Therefore, it is recommended to verify |
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1539 this value for difficult integrands. |
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1540 |
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1541 @code{quadcc} is capable of dealing with non-numeric values of the integrand |
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1542 such as @code{NaN} or @code{Inf}. If the integral diverges, and @code{quadcc} |
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|
1543 detects this, then a warning is issued and @code{Inf} or @code{-Inf} is |
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|
1544 returned. |
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|
1545 |
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1546 Note: @code{quadcc} is a general purpose quadrature algorithm and, as such, |
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1547 may be less efficient for a smooth or otherwise well-behaved integrand than |
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1548 other methods such as @code{quadgk}. |
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1549 |
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1550 The algorithm uses @nospell{Clenshaw-Curtis} quadrature rules of increasing |
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1551 degree in each interval and bisects the interval if either the function does |
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1552 not appear to be smooth or a rule of maximum degree has been reached. The |
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1553 error estimate is computed from the L2-norm of the difference between two |
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1554 successive interpolations of the integrand over the nodes of the respective |
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1555 quadrature rules. |
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1556 |
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|
1557 Reference: @nospell{P. Gonnet}, @cite{Increasing the Reliability of Adaptive |
25003
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Rik <rik@octave.org>
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|
1558 Quadrature Using Explicit Interpolants}, @nospell{ACM} Transactions on |
27800
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doc: Use Texinfo non-sentence ending periods in citations.
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|
1559 Mathematical Software, Vol.@: 37, Issue 3, Article No.@: 3, 2010. |
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1560 @seealso{quad, quadv, quadl, quadgk, trapz, dblquad, triplequad} |
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1561 @end deftypefn */) |
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1562 { |
20910 | 1563 // Some constants that we will need. |
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1564 static const int n[4] = { 4, 8, 16, 32 }; |
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1565 static const int skip[4] = { 8, 4, 2, 1 }; |
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1566 static const int idx[4] = { 0, 5, 14, 31 }; |
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1567 static const double w = M_SQRT2 / 2; |
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1568 static const int ndiv_max = 20; |
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|
1569 |
20910 | 1570 // Arguments left and right. |
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|
1571 int nargin = args.length (); |
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1572 octave_value fcn; |
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1573 double a, b, abstol, reltol, *sing; |
24157
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1574 bool issingle; |
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1575 |
20910 | 1576 // Variables needed for transforming the integrand. |
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1577 bool wrap = false; |
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|
1578 double xw; |
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|
1579 |
20910 | 1580 // Stuff we will need to call the integrand. |
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1581 octave_value_list fargs, fvals; |
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1582 |
20910 | 1583 // Actual variables (as opposed to constants above). |
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|
1584 double m, h, ml, hl, mr, hr, temp; |
13219
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|
1585 double igral, err, igral_final, err_final; |
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1586 int nivals; |
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1587 int neval = 0; |
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1588 int i, j, d, split; |
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1589 int nnans, nans[33]; |
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|
1590 cquad_ival *iv, *ivl, *ivr; |
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|
1591 double nc, ncdiff; |
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|
1592 |
20910 | 1593 // Parse the input arguments. |
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|
1594 if (nargin < 3) |
20801
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eliminate return statements after calls to print_usage
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|
1595 print_usage (); |
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|
1596 |
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|
1597 fcn = octave::get_function_handle (interp, args(0), "x"); |
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|
1598 |
15995
906ae1705522
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15994
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|
1599 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
|
1600 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
|
1601 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
|
1602 issingle = args(1).is_single_type (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1603 |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1604 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
|
1605 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
|
1606 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
|
1607 issingle = (issingle || args(2).is_single_type ()); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1608 |
23577
80c42f4cca13
maint: Deprecate is_empty and replace with isempty.
Rik <rik@octave.org>
parents:
23564
diff
changeset
|
1609 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
|
1610 { |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1611 if (issingle) |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1612 { |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1613 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
|
1614 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
|
1615 } |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1616 else |
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 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
|
1619 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
|
1620 } |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1621 } |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1622 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
|
1623 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
|
1624 else |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1625 { |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1626 NDArray tol = args(3).array_value (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1627 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1628 abstol = tol(0); |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1629 if (abstol < 0) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1630 error ("quadcc: absolute tolerance must be >=0"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1631 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1632 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
|
1633 { |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1634 if (issingle) |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
1635 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
|
1636 else |
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-6; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1638 } |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1639 else |
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 reltol = tol(1); |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1642 if (reltol < 0) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1643 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
|
1644 } |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1645 } |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1646 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1647 if (nargin < 5) |
20910 | 1648 nivals = 1; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1649 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
|
1650 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
|
1651 else |
20910 | 1652 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
|
1653 |
21213
f7d1050b9b53
maint: Clean up various usages of #ifdef.
Rik <rik@octave.org>
parents:
21200
diff
changeset
|
1654 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
|
1655 : MIN_CQUAD_HEAPSIZE); |
20910 | 1656 // The interval heap. |
15996
1aff8c38c53c
use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents:
15995
diff
changeset
|
1657 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
|
1658 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
|
1659 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
|
1660 |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1661 if (nivals == 1) |
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 iivals[0] = a; |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1664 iivals[1] = b; |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1665 } |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1666 else |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1667 { |
20910 | 1668 // Intervals around singularities. |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1669 sing = args(4).array_value ().fortran_vec (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1670 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
|
1671 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
|
1672 iivals[nivals] = b; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1673 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1674 |
20910 | 1675 // If a or b are +/-Inf, transform the integral. |
21782
2aef506f3fec
use namespace for lo-mappers.h functions
John W. Eaton <jwe@octave.org>
parents:
21751
diff
changeset
|
1676 if (octave::math::isinf (a) || octave::math::isinf (b)) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1677 { |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1678 wrap = true; |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1679 for (i = 0; i < nivals + 1; i++) |
21782
2aef506f3fec
use namespace for lo-mappers.h functions
John W. Eaton <jwe@octave.org>
parents:
21751
diff
changeset
|
1680 if (octave::math::isinf (iivals[i])) |
21942
aab79a1885cc
limit gnulib headers to liboctave/wrappers directory
John W. Eaton <jwe@octave.org>
parents:
21782
diff
changeset
|
1681 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
|
1682 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1683 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
|
1684 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1685 |
20910 | 1686 // Initialize the heaps. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1687 for (i = 0; i < cquad_heapsize; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1688 heap[i] = i; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1689 |
20910 | 1690 // Create the first interval(s). |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1691 igral = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1692 err = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1693 for (j = 0; j < nivals; j++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1694 { |
20910 | 1695 // Initialize the interval. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1696 iv = &(ivals[heap[j]]); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1697 m = (iivals[j] + iivals[j + 1]) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1698 h = (iivals[j + 1] - iivals[j]) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1699 nnans = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1700 ColumnVector ex (33); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1701 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1702 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1703 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
|
1704 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
|
1705 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1706 else |
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 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
|
1709 ex(i) = m + xi[i]*h; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1710 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1711 fargs(0) = ex; |
23075
4e3d47dc7e25
move parse tree classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
22860
diff
changeset
|
1712 fvals = octave::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
|
1713 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
|
1714 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
|
1715 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1716 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
|
1717 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1718 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
|
1719 |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1720 for (i = 0; i <= n[3]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1721 { |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1722 iv->fx[i] = effex(i); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1723 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1724 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1725 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
|
1726 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
|
1727 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1728 neval++; |
23564
7049da1648c0
Deprecate octave::math::finite in favor of octave::math::isfinite.
Rik <rik@octave.org>
parents:
23220
diff
changeset
|
1729 if (! octave::math::isfinite (iv->fx[i])) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1730 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1731 nans[nnans++] = i; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1732 iv->fx[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1733 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1734 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1735 Vinvfx (iv->fx, &(iv->c[idx[3]]), 3); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1736 Vinvfx (iv->fx, &(iv->c[idx[2]]), 2); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1737 Vinvfx (iv->fx, &(iv->c[0]), 0); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1738 for (i = 0; i < nnans; i++) |
21723
bae585228161
use namespace for numeric_limits
John W. Eaton <jwe@octave.org>
parents:
21721
diff
changeset
|
1739 iv->fx[nans[i]] = octave::numeric_limits<double>::NaN (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1740 iv->a = iivals[j]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1741 iv->b = iivals[j + 1]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1742 iv->depth = 3; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1743 iv->rdepth = 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1744 iv->ndiv = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1745 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
|
1746 nc = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1747 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
|
1748 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1749 temp = iv->c[idx[3] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1750 nc += temp * temp; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1751 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1752 ncdiff = nc; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1753 for (i = 0; i <= n[2]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1754 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1755 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
|
1756 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
|
1757 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
|
1758 nc += temp * temp; |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1759 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1760 ncdiff = sqrt (ncdiff); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1761 nc = sqrt (nc); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1762 iv->err = ncdiff * 2 * h; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1763 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
|
1764 iv->err = 2 * h * nc; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1765 |
20910 | 1766 // Tabulate this interval's data. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1767 igral += iv->igral; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1768 err += iv->err; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1769 |
20910 | 1770 // Sift it up the heap. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1771 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1772 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
|
1773 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1774 std::swap (heap[i], heap[i / 2]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1775 i /= 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1776 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1777 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1778 |
20910 | 1779 // Initialize some global values. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1780 igral_final = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1781 err_final = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1782 |
20910 | 1783 // Main loop. |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1784 while (nivals > 0 |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1785 && 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
|
1786 && ! (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
|
1787 && 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
|
1788 { |
20910 | 1789 // 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
|
1790 octave_quit (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1791 |
20910 | 1792 // 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
|
1793 iv = &(ivals[heap[0]]); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1794 m = (iv->a + iv->b) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1795 h = (iv->b - iv->a) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1796 |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1797 #if (DEBUG_QUADCC) |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1798 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
|
1799 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
|
1800 #endif |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1801 |
20910 | 1802 // Should we try to increase the degree? |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1803 if (iv->depth < 3) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1804 { |
20910 | 1805 // Keep tabs on some variables. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1806 d = ++iv->depth; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1807 |
20910 | 1808 // Get the new (missing) function values. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1809 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1810 ColumnVector ex (n[d] / 2); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1811 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1812 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1813 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
|
1814 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
|
1815 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1816 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
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 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
|
1819 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
|
1820 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1821 fargs(0) = ex; |
23075
4e3d47dc7e25
move parse tree classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
22860
diff
changeset
|
1822 fvals = octave::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
|
1823 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
|
1824 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
|
1825 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1826 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
|
1827 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1828 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
|
1829 |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
1830 neval += effex.numel (); |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1831 for (i = 0; i < n[d] / 2; i++) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1832 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1833 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
|
1834 iv->fx[j] = effex(i); |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1835 if (wrap) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1836 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1837 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
|
1838 iv->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
|
1839 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1840 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1841 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1842 nnans = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1843 for (i = 0; i <= 32; i += skip[d]) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1844 { |
23564
7049da1648c0
Deprecate octave::math::finite in favor of octave::math::isfinite.
Rik <rik@octave.org>
parents:
23220
diff
changeset
|
1845 if (! octave::math::isfinite (iv->fx[i])) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1846 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1847 nans[nnans++] = i; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1848 iv->fx[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1849 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1850 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1851 |
20910 | 1852 // Compute the new coefficients. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1853 Vinvfx (iv->fx, &(iv->c[idx[d]]), d); |
20910 | 1854 // Downdate any NaNs. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1855 if (nnans > 0) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1856 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1857 downdate (&(iv->c[idx[d]]), n[d], d, nans, nnans); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1858 for (i = 0; i < nnans; i++) |
21723
bae585228161
use namespace for numeric_limits
John W. Eaton <jwe@octave.org>
parents:
21721
diff
changeset
|
1859 iv->fx[nans[i]] = octave::numeric_limits<double>::NaN (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1860 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1861 |
20910 | 1862 // Compute the error estimate. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1863 nc = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1864 for (i = n[d - 1] + 1; i <= n[d]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1865 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1866 temp = iv->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1867 nc += temp * temp; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1868 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1869 ncdiff = nc; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1870 for (i = 0; i <= n[d - 1]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1871 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1872 temp = iv->c[idx[d - 1] + i] - iv->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1873 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
|
1874 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
|
1875 nc += temp * temp; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1876 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1877 ncdiff = sqrt (ncdiff); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1878 nc = sqrt (nc); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1879 iv->err = ncdiff * 2 * h; |
20910 | 1880 // Compute the local integral. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1881 iv->igral = 2 * h * w * iv->c[idx[d]]; |
20910 | 1882 // Split the interval prematurely? |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1883 split = (nc > 0 && ncdiff / nc > 0.1); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1884 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1885 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1886 { |
20910 | 1887 // Maximum degree reached, just split. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1888 split = 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1889 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1890 |
20910 | 1891 // Should we drop this interval? |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1892 if ((m + h*xi[0]) >= (m + h*xi[1]) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1893 || (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
diff
changeset
|
1894 || iv->err < fabs (iv->igral) * DROP_RELTOL) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1895 { |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1896 #if (DEBUG_QUADCC) |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
1897 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
|
1898 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
|
1899 #endif |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
1900 |
20910 | 1901 // Keep this interval's contribution. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1902 err_final += iv->err; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1903 igral_final += iv->igral; |
20910 | 1904 // Swap with the last element on the heap. |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1905 std::swap (heap[nivals - 1], heap[0]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1906 nivals--; |
20910 | 1907 // Fix up the heap. |
10944
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1908 i = 0; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1909 while (2*i + 1 < nivals) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1910 { |
20910 | 1911 // Get the kids. |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1912 j = 2*i + 1; |
20910 | 1913 // If the j+1st entry exists and is larger than the jth, |
1914 // use it instead. | |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1915 if (j + 1 < nivals |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1916 && 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
|
1917 j++; |
20910 | 1918 // Do we need to move the ith entry up? |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1919 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
|
1920 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1921 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1922 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
1923 std::swap (heap[j], heap[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1924 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1925 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1926 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1927 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1928 else if (split) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1929 { |
20910 | 1930 // Some values we will need often... |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1931 d = iv->depth; |
20910 | 1932 // Generate the interval on the left. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1933 ivl = &(ivals[heap[nivals++]]); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1934 ivl->a = iv->a; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1935 ivl->b = m; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1936 ml = (ivl->a + ivl->b) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1937 hl = h / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1938 ivl->depth = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1939 ivl->rdepth = iv->rdepth + 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1940 ivl->fx[0] = iv->fx[0]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1941 ivl->fx[32] = iv->fx[16]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1942 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1943 ColumnVector ex (n[0] - 1); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1944 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1945 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1946 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
|
1947 ex(i) = tan (M_PI/2 * (ml + xi[(i + 1) * skip[0]] * hl)); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1948 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1949 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1950 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1951 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
|
1952 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
|
1953 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1954 fargs(0) = ex; |
23075
4e3d47dc7e25
move parse tree classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
22860
diff
changeset
|
1955 fvals = octave::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
|
1956 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
|
1957 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
|
1958 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
1959 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
|
1960 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
1961 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
|
1962 |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
1963 neval += effex.numel (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1964 for (i = 0; i < n[0] - 1; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1965 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1966 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
|
1967 ivl->fx[j] = effex(i); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1968 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1969 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1970 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
|
1971 ivl->fx[j] *= (1.0 + xw*xw) * M_PI/2; |
10944
a7655cdba470
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parents:
diff
changeset
|
1972 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1973 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1974 } |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1975 nnans = 0; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1976 for (i = 0; i <= 32; i += skip[0]) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1977 { |
23564
7049da1648c0
Deprecate octave::math::finite in favor of octave::math::isfinite.
Rik <rik@octave.org>
parents:
23220
diff
changeset
|
1978 if (! octave::math::isfinite (ivl->fx[i])) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1979 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1980 nans[nnans++] = i; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1981 ivl->fx[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1982 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1983 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1984 Vinvfx (ivl->fx, ivl->c, 0); |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1985 if (nnans > 0) |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1986 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1987 downdate (ivl->c, n[0], 0, nans, nnans); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1988 for (i = 0; i < nnans; i++) |
21723
bae585228161
use namespace for numeric_limits
John W. Eaton <jwe@octave.org>
parents:
21721
diff
changeset
|
1989 ivl->fx[nans[i]] = octave::numeric_limits<double>::NaN (); |
10944
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1990 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1991 for (i = 0; i <= n[d]; i++) |
a7655cdba470
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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 ivl->c[idx[d] + i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1994 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
|
1995 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
|
1996 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1997 ncdiff = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1998 for (i = 0; i <= n[0]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
1999 { |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2000 temp = ivl->c[i] - ivl->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2001 ncdiff += temp * temp; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2002 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2003 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
|
2004 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2005 temp = ivl->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2006 ncdiff += temp * temp; |
a7655cdba470
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Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2007 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2008 ncdiff = sqrt (ncdiff); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2009 ivl->err = ncdiff * h; |
20910 | 2010 // Check for divergence. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2011 ivl->ndiv = iv->ndiv + (fabs (iv->c[0]) > 0 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2012 && 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
|
2013 if (ivl->ndiv > ndiv_max && 2*ivl->ndiv > ivl->rdepth) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2014 { |
21942
aab79a1885cc
limit gnulib headers to liboctave/wrappers directory
John W. Eaton <jwe@octave.org>
parents:
21782
diff
changeset
|
2015 igral = std::copysign (octave::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
|
2016 warning ("quadcc: divergent integral detected"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2017 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2018 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2019 |
20910 | 2020 // Compute the local integral. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2021 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
|
2022 |
20910 | 2023 // Generate the interval on the right. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2024 ivr = &(ivals[heap[nivals++]]); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2025 ivr->a = m; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2026 ivr->b = iv->b; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2027 mr = (ivr->a + ivr->b) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2028 hr = h / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2029 ivr->depth = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2030 ivr->rdepth = iv->rdepth + 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2031 ivr->fx[0] = iv->fx[16]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2032 ivr->fx[32] = iv->fx[32]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2033 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2034 ColumnVector ex (n[0] - 1); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2035 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2036 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2037 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
|
2038 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
|
2039 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2040 else |
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 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
|
2043 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
|
2044 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2045 fargs(0) = ex; |
23075
4e3d47dc7e25
move parse tree classes inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
22860
diff
changeset
|
2046 fvals = octave::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
|
2047 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
|
2048 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
|
2049 |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2050 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
|
2051 if (effex.numel () != ex.numel ()) |
20831
35241c4b696c
eliminate return statements after calls to error
John W. Eaton <jwe@octave.org>
parents:
20801
diff
changeset
|
2052 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
|
2053 |
20232
a9574e3c6e9e
Deprecate Array::length() and Sparse::length() in favour of ::numel().
Carnë Draug <carandraug@octave.org>
parents:
20181
diff
changeset
|
2054 neval += effex.numel (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2055 for (i = 0; i < n[0] - 1; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2056 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2057 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
|
2058 ivr->fx[j] = effex(i); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2059 if (wrap) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2060 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2061 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
|
2062 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
|
2063 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2064 } |
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 nnans = 0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2067 for (i = 0; i <= 32; i += skip[0]) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2068 { |
23564
7049da1648c0
Deprecate octave::math::finite in favor of octave::math::isfinite.
Rik <rik@octave.org>
parents:
23220
diff
changeset
|
2069 if (! octave::math::isfinite (ivr->fx[i])) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2070 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2071 nans[nnans++] = i; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2072 ivr->fx[i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2073 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2074 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2075 Vinvfx (ivr->fx, ivr->c, 0); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2076 if (nnans > 0) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2077 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2078 downdate (ivr->c, n[0], 0, nans, nnans); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2079 for (i = 0; i < nnans; i++) |
21723
bae585228161
use namespace for numeric_limits
John W. Eaton <jwe@octave.org>
parents:
21721
diff
changeset
|
2080 ivr->fx[nans[i]] = octave::numeric_limits<double>::NaN (); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2081 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2082 for (i = 0; i <= n[d]; i++) |
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 ivr->c[idx[d] + i] = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2085 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
|
2086 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
|
2087 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2088 ncdiff = 0.0; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2089 for (i = 0; i <= n[0]; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2090 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2091 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
|
2092 ncdiff += temp * temp; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2093 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2094 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
|
2095 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2096 temp = ivr->c[idx[d] + i]; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2097 ncdiff += temp * temp; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2098 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2099 ncdiff = sqrt (ncdiff); |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2100 ivr->err = ncdiff * h; |
20910 | 2101 // Check for divergence. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2102 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
|
2103 && 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
|
2104 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
|
2105 { |
21942
aab79a1885cc
limit gnulib headers to liboctave/wrappers directory
John W. Eaton <jwe@octave.org>
parents:
21782
diff
changeset
|
2106 igral = std::copysign (octave::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
|
2107 warning ("quadcc: divergent integral detected"); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2108 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2109 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2110 |
20910 | 2111 // Compute the local integral. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2112 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
|
2113 |
20910 | 2114 // 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
|
2115 // 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
|
2116 |
20910 | 2117 // 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
|
2118 std::swap (heap[nivals - 1], heap[0]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2119 nivals--; |
20910 | 2120 // Sift this interval back down the heap. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2121 i = 0; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2122 while (2*i + 1 < nivals - 1) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2123 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2124 j = 2*i + 1; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2125 if (j + 1 < nivals - 1 |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2126 && 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
|
2127 j++; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2128 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
|
2129 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2130 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2131 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2132 std::swap (heap[j], heap[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2133 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2134 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2135 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2136 |
20910 | 2137 // 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
|
2138 i = nivals - 1; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2139 while (i > 0) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2140 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2141 j = (i - 1) / 2; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2142 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
|
2143 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2144 std::swap (heap[j], heap[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2145 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2146 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2147 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2148 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2149 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2150 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2151 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2152 { |
20910 | 2153 // Otherwise, just fix-up the heap. |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2154 i = 0; |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2155 while (2*i + 1 < nivals) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2156 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2157 j = 2*i + 1; |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2158 if (j + 1 < nivals |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2159 && 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
|
2160 j++; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2161 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
|
2162 break; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2163 else |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2164 { |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2165 std::swap (heap[j], heap[i]); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2166 i = j; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2167 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2168 } |
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 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2171 // 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
|
2172 while (nivals > cquad_heapsize - 2) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2173 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2174 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
|
2175 #if (DEBUG_QUADCC) |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2176 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
|
2177 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
|
2178 #endif |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2179 err_final += iv->err; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2180 igral_final += iv->igral; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2181 nivals--; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2182 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2183 |
20910 | 2184 // 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
|
2185 igral = igral_final; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2186 err = err_final; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2187 for (i = 0; i < nivals; i++) |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2188 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2189 igral += ivals[heap[i]].igral; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2190 err += ivals[heap[i]].err; |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2191 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2192 } |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2193 |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2194 #if (DEBUG_QUADCC) |
20910 | 2195 // 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
|
2196 for (i = 0; i < nivals; i++) |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2197 { |
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2198 iv = &(ivals[heap[i]]); |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents:
17744
diff
changeset
|
2199 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
|
2200 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
|
2201 iv->rdepth, iv->ndiv); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2202 } |
15995
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2203 #endif |
906ae1705522
quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents:
15994
diff
changeset
|
2204 |
24157
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2205 if (issingle) |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2206 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
|
2207 else |
5fc5c1a49aa1
quadcc: Preserve output of type single when input is single (bug #52243).
Rik <rik@octave.org>
parents:
24098
diff
changeset
|
2208 return ovl (igral, err, neval); |
10944
a7655cdba470
add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff
changeset
|
2209 } |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents:
12612
diff
changeset
|
2210 |
13141
e81ddf9cacd5
maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents:
12653
diff
changeset
|
2211 /* |
24098
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
Rik <rik@octave.org>
parents:
23577
diff
changeset
|
2212 %!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>
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2213 %!assert (quadcc (inline ("sin"), -pi, pi), 0, 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
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parents:
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2214 %!assert (quadcc ("sin", -pi, pi), 0, 1e-10) |
12614
4e11a87d86e6
quadcc.cc: Recode input validation and add tests.
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2215 |
24098
71dad5be765a
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2216 %!assert (quadcc (@sin, -pi, 0), -2, 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
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2217 %!assert (quadcc (@sin, 0, pi), 2, 1e-10) |
71dad5be765a
quadcc.cc: Use an Absolute Tolerance, as well as RelTol (Bug #46349).
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2218 %!assert (quadcc (@(x) 1./sqrt (x), 0, 1), 2, -1e-6) |
71dad5be765a
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2219 %!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).
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2220 %!assert (quadcc (@(x) 1./(sqrt (x).*(x+1)), 0, Inf, [0, 1e-8]), pi, -1e-8) |
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4e11a87d86e6
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2221 |
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2222 %!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).
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2223 %!assert (quadcc (@(x) exp (-x .^ 2), -Inf, 0), sqrt (pi)/2, 1e-10) |
12614
4e11a87d86e6
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2224 |
17787
175b392e91fe
Use GNU style coding conventions for code in libinterp/
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2225 ## Test function with NaNs in interval |
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Fix quadcc when there are NaNs in the integrand (bug #37414)
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2226 %!function y = __nansin (x) |
c9954a15bc03
Fix quadcc when there are NaNs in the integrand (bug #37414)
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2227 %! 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)
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2228 %! y = sin (x); |
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2229 %! idx = min (abs (bsxfun (@minus, x(:), nan_locs)), [], 2); |
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Fix quadcc when there are NaNs in the integrand (bug #37414)
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2230 %! y(idx < 1e-10) = NaN; |
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2231 %!endfunction |
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2232 |
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2233 %!test |
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2234 %! [q, err, npoints] = quadcc ("__nansin", -pi, pi, [0, 1e-6]); |
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2235 %! assert (q, 0, -1e-6); |
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2236 %! assert (err, 0, 15*eps); |
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2237 |
24157
5fc5c1a49aa1
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2238 %!test |
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2239 %! assert (class (quadcc (@sin, 0, 1)), "double"); |
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2240 %! assert (class (quadcc (@sin, single (0), 1)), "single"); |
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2241 %! assert (class (quadcc (@sin, 0, single (1))), "single"); |
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2242 %! assert (class (quadcc (@sin, single (0), single (1))), "single"); |
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2243 |
22737
7abc25e6206a
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22407
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2244 ## Test input validation |
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2245 %!error quadcc () |
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2246 %!error quadcc (@sin) |
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2247 %!error quadcc (@sin, 0) |
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2248 %!error <lower limit .* must be a .* scalar> (quadcc (@sin, ones (2), pi)) |
71dad5be765a
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2249 %!error <lower limit .* must be a real scalar> (quadcc (@sin, -i, pi)) |
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2250 %!error <upper limit .* must be a .* scalar> (quadcc (@sin, 0, ones (2))) |
71dad5be765a
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2251 %!error <upper limit .* must be a real scalar> (quadcc (@sin, 0, i)) |
71dad5be765a
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2252 %!error <TOL must be a 1- or 2-element vector> (quadcc (@sin, 0, pi, {1})) |
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2253 %!error <TOL must be a 1- or 2-element vector> (quadcc (@sin, 0, pi, [1,2,3])) |
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2254 %!error <absolute tolerance must be .=0> (quadcc (@sin, 0, pi, -1)) |
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2255 %!error <relative tolerance must be .=0> (quadcc (@sin, 0, pi, [1, -1])) |
71dad5be765a
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2256 %!error <SING.* must be .* real values> (quadcc (@sin, 0, pi, 1e-6, [ i ])) |
12614
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2257 */ |