| 1 | // check-plug.i script for SOY, 18 Nov 2004 |
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| 2 | |
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| 3 | /* |
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| 4 | SOY: Sparse Operations with Yorick |
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| 5 | Copyright (C) 2004 Ralf Flicker (rflicker@mac.com) |
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| 6 | Copyright (C) 2010-2012 Marcos van Dam (marcos@flatwavefronts.com) |
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| 7 | |
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| 8 | This program is free software; you can redistribute it and/or |
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| 9 | modify it under the terms of the GNU General Public License |
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| 10 | as published by the Free Software Foundation; either version 2 |
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| 11 | of the License, or (at your option) any later version. |
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| 12 | |
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| 13 | This program is distributed in the hope that it will be useful, |
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| 14 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 15 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 16 | GNU General Public License for more details. |
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| 17 | |
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| 18 | You should have received a copy of the GNU General Public License |
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| 19 | along with this program; if not, write to the Free Software |
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| 20 | Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
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| 21 | */ |
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| 22 | |
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| 23 | require,"soy.i"; |
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| 24 | require,"random.i"; |
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| 25 | |
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| 26 | extern MR,MN,errors,errflg; |
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| 27 | MR = 50000; |
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| 28 | MN = 500000; |
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| 29 | |
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| 30 | errors = []; |
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| 31 | errflg = []; |
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| 32 | |
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| 33 | ftol = 1.e-6; |
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| 34 | dtol = 1.e-12; |
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| 35 | |
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| 36 | write,"\nSetting error tolerances : "; |
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| 37 | write,format=" >> single precision: %5.0e\n",ftol; |
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| 38 | write,format=" >> double precision: %5.0e\n\n",dtol; |
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| 39 | |
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| 40 | |
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| 41 | // Random rectangular matrices |
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| 42 | A = float(random([2,200,100])-0.5); |
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| 43 | A = A*(abs(A)<0.2); |
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| 44 | B = double(random([2,200,100])-0.5); |
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| 45 | B = B*(abs(B)<0.2); |
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| 46 | |
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| 47 | // Random symmetrix matrices |
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| 48 | S = float(random([2,100,100])-0.5); |
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| 49 | S = S(,+)*S(,+); |
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| 50 | S = S*(S>0.5); |
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| 51 | T = double(random([2,100,100])-0.5); |
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| 52 | T = T(,+)*T(,+); |
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| 53 | T = T*(T>0.5); |
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| 54 | |
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| 55 | // Random vectors |
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| 56 | v = float(random(200)); |
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| 57 | w = double(random(200)); |
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| 58 | s = float(random(100)); |
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| 59 | t = double(random(100)); |
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| 60 | |
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| 61 | // Test1: sprco/spruo and rcoinf/ruoinf |
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| 62 | write,format="testing sprco(a) and rcoinf (float)...%s","."; |
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| 63 | a = sprco(A); |
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| 64 | AA = rcoinf(a); |
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| 65 | err = max(abs(AA-A)); |
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| 66 | grow,errors,err; |
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| 67 | grow,errflg,(err != 0); |
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| 68 | if ((err != 0)) { |
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| 69 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 70 | } else { |
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| 71 | write,format="OK%s\n","."; |
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| 72 | } |
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| 73 | write,format="testing sprco(a) and rcoinf (double)...%s","."; |
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| 74 | a = sprco(B); |
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| 75 | AA = rcoinf(a); |
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| 76 | err = max(abs(AA-B)); |
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| 77 | grow,errors,err; |
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| 78 | grow,errflg,(err != 0); |
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| 79 | if ( (err != 0)) { |
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| 80 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 81 | } else { |
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| 82 | write,format="OK%s\n","."; |
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| 83 | } |
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| 84 | write,format="testing sprco(a,ur=200,un=10000) and rcoinf (float)...%s","."; |
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| 85 | a = sprco(A,ur=200,un=10000); |
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| 86 | AA = rcoinf(a); |
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| 87 | err = max(abs(AA-A)); |
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| 88 | grow,errors,err; |
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| 89 | grow,errflg,(err != 0); |
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| 90 | if ( (err != 0)) { |
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| 91 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 92 | } else { |
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| 93 | write,format="OK%s\n","."; |
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| 94 | } |
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| 95 | write,format="testing sprco(a,ur=200,un=10000) and rcoinf (double)...%s","."; |
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| 96 | a = sprco(B,ur=200,un=10000); |
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| 97 | AA = rcoinf(a); |
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| 98 | err = max(abs(AA-B)); |
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| 99 | grow,errors,err; |
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| 100 | grow,errflg,(err != 0); |
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| 101 | if ( (err != 0)) { |
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| 102 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 103 | } else { |
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| 104 | write,format="OK%s\n","."; |
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| 105 | } |
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| 106 | write,format="testing spruo(s) and ruoinf (float)...%s","."; |
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| 107 | a = spruo(S); |
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| 108 | AA = ruoinf(a); |
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| 109 | err = max(abs(AA-S)); |
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| 110 | grow,errors,err; |
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| 111 | grow,errflg,(err != 0); |
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| 112 | if ( (err != 0)) { |
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| 113 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 114 | } else { |
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| 115 | write,format="OK%s\n","."; |
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| 116 | } |
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| 117 | write,format="testing sprco(a) and rcoinf (double)...%s","."; |
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| 118 | a = spruo(T); |
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| 119 | AA = ruoinf(a); |
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| 120 | err = max(abs(AA-T)); |
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| 121 | grow,errors,err; |
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| 122 | grow,errflg,(err != 0); |
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| 123 | if ( (err != 0)) { |
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| 124 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 125 | } else { |
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| 126 | write,format="OK%s\n","."; |
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| 127 | } |
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| 128 | write,format="testing sprco(a,ur=200,un=10000) and rcoinf (float)...%s","."; |
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| 129 | a = spruo(S,ur=200,un=10000); |
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| 130 | AA = ruoinf(a); |
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| 131 | err = max(abs(AA-S)); |
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| 132 | grow,errors,err; |
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| 133 | grow,errflg,(err != 0); |
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| 134 | if ( (err != 0)) { |
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| 135 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 136 | } else { |
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| 137 | write,format="OK%s\n","."; |
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| 138 | } |
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| 139 | write,format="testing sprco(a,ur=200,un=10000) and rcoinf (double)...%s","."; |
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| 140 | a = spruo(T,ur=200,un=10000); |
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| 141 | AA = ruoinf(a); |
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| 142 | err = max(abs(AA-T)); |
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| 143 | grow,errors,err; |
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| 144 | grow,errflg,(err != 0); |
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| 145 | if ( (err != 0)) { |
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| 146 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 147 | } else { |
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| 148 | write,format="OK%s\n","."; |
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| 149 | } |
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| 150 | |
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| 151 | |
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| 152 | |
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| 153 | // Test 2: rcoxv and ruoxv |
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| 154 | write,format="testing rcoxv(a,v) (float)...%s","."; |
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| 155 | vv = A(+,)*v(+); |
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| 156 | a = sprco(A,ur=200,un=10000); |
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| 157 | uu = rcoxv(a,v); |
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| 158 | err = max(abs(vv-uu)); |
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| 159 | grow,errors,err; |
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| 160 | grow,errflg,(err > ftol); |
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| 161 | if ( (err > ftol)) { |
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| 162 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 163 | } else { |
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| 164 | write,format="OK%s\n","."; |
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| 165 | } |
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| 166 | write,format="testing rcoxv(a,v) (double)...%s","."; |
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| 167 | a = sprco(B,ur=200,un=10000); |
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| 168 | vv = B(+,)*w(+); |
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| 169 | uu = rcoxv(a,w); |
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| 170 | err = max(abs(vv-uu)); |
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| 171 | grow,errors,err; |
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| 172 | grow,errflg,(err > dtol); |
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| 173 | if ( (err > dtol)) { |
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| 174 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 175 | } else { |
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| 176 | write,format="OK%s\n","."; |
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| 177 | } |
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| 178 | write,format="testing ruoxv(a,v) (float)...%s","."; |
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| 179 | vv = S(+,)*s(+); |
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| 180 | a = spruo(S,ur=200,un=10000); |
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| 181 | uu = ruoxv(a,s); |
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| 182 | err = max(abs(vv-uu)); |
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| 183 | grow,errors,err; |
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| 184 | grow,errflg,(err > ftol); |
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| 185 | if ( (err > ftol)) { |
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| 186 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 187 | } else { |
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| 188 | write,format="OK%s\n","."; |
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| 189 | } |
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| 190 | write,format="testing ruoxv(a,v) (double)...%s","."; |
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| 191 | a = spruo(T,ur=200,un=10000); |
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| 192 | vv = T(+,)*t(+); |
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| 193 | uu = ruoxv(a,t); |
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| 194 | err = max(abs(vv-uu)); |
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| 195 | grow,errors,err; |
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| 196 | grow,errflg,(err > dtol); |
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| 197 | if ( (err > dtol)) { |
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| 198 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 199 | } else { |
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| 200 | write,format="OK%s\n","."; |
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| 201 | } |
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| 202 | |
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| 203 | |
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| 204 | // Test 3: rcoadd and ruoadd |
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| 205 | write,format="testing rcoadd(a,b) (float)...%s","."; |
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| 206 | C = float(B); |
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| 207 | D = A+C; |
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| 208 | a = sprco(A,ur=200,un=10000); |
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| 209 | c = sprco(C,ur=200,un=10000); |
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| 210 | d = rcoadd(a,c); |
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| 211 | dd = rcoinf(d); |
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| 212 | err = max(abs(D-dd)); |
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| 213 | grow,errors,err; |
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| 214 | grow,errflg,(err > ftol); |
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| 215 | if ( (err > ftol)) { |
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| 216 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 217 | } else { |
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| 218 | write,format="OK%s\n","."; |
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| 219 | } |
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| 220 | write,format="testing rcoadd(a,b) (double)...%s","."; |
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| 221 | C = double(A); |
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| 222 | D = B+C; |
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| 223 | b = sprco(B,ur=200,un=10000); |
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| 224 | c = sprco(C,ur=200,un=10000); |
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| 225 | d = rcoadd(b,c); |
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| 226 | dd = rcoinf(d); |
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| 227 | err = max(abs(D-dd)); |
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| 228 | grow,errors,err; |
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| 229 | grow,errflg,(err > dtol); |
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| 230 | if ( (err > dtol)) { |
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| 231 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 232 | } else { |
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| 233 | write,format="OK%s\n","."; |
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| 234 | } |
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| 235 | write,format="testing ruoadd(a,b) (float)...%s","."; |
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| 236 | U = float(T); |
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| 237 | V = S+U; |
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| 238 | a = spruo(S,ur=200,un=10000); |
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| 239 | c = spruo(U,ur=200,un=10000); |
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| 240 | d = ruoadd(a,c); |
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| 241 | dd = ruoinf(d); |
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| 242 | err = max(abs(V-dd)); |
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| 243 | grow,errors,err; |
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| 244 | grow,errflg,(err > ftol); |
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| 245 | if ( (err > ftol)) { |
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| 246 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 247 | } else { |
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| 248 | write,format="OK%s\n","."; |
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| 249 | } |
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| 250 | write,format="testing ruoadd(a,b) (double)...%s","."; |
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| 251 | U = double(S); |
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| 252 | V = U+T; |
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| 253 | a = spruo(T,ur=200,un=10000); |
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| 254 | c = spruo(U,ur=200,un=10000); |
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| 255 | d = ruoadd(a,c); |
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| 256 | dd = ruoinf(d); |
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| 257 | err = max(abs(V-dd)); |
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| 258 | grow,errors,err; |
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| 259 | grow,errflg,(err > dtol); |
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| 260 | if ( (err > dtol)) { |
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| 261 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 262 | } else { |
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| 263 | write,format="OK%s\n","."; |
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| 264 | } |
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| 265 | write,format="testing rcoadd(a,b,ur=200,un=20000) (float)...%s","."; |
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| 266 | C = float(B); |
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| 267 | D = A+C; |
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| 268 | a = sprco(A,ur=200,un=10000); |
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| 269 | c = sprco(C,ur=200,un=10000); |
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| 270 | d = rcoadd(a,c,ur=200,un=20000); |
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| 271 | dd = rcoinf(d); |
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| 272 | err = max(abs(D-dd)); |
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| 273 | grow,errors,err; |
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| 274 | grow,errflg,(err > ftol); |
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| 275 | if ( (err > ftol)) { |
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| 276 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 277 | } else { |
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| 278 | write,format="OK%s\n","."; |
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| 279 | } |
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| 280 | write,format="testing rcoadd(a,b,ur=200,un=20000) (double)...%s","."; |
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| 281 | C = double(A); |
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| 282 | D = B+C; |
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| 283 | b = sprco(B,ur=200,un=10000); |
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| 284 | c = sprco(C,ur=200,un=10000); |
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| 285 | d = rcoadd(b,c,ur=200,un=20000); |
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| 286 | dd = rcoinf(d); |
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| 287 | err = max(abs(D-dd)); |
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| 288 | grow,errors,err; |
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| 289 | grow,errflg,(err > dtol); |
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| 290 | if ( (err > dtol)) { |
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| 291 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 292 | } else { |
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| 293 | write,format="OK%s\n","."; |
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| 294 | } |
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| 295 | write,format="testing ruoadd(a,b,ur=200,un=20000) (float)...%s","."; |
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| 296 | U = float(T); |
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| 297 | V = S+U; |
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| 298 | a = spruo(S,ur=200,un=10000); |
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| 299 | c = spruo(U,ur=200,un=10000); |
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| 300 | d = ruoadd(a,c,ur=200,un=20000); |
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| 301 | dd = ruoinf(d); |
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| 302 | err = max(abs(V-dd)); |
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| 303 | grow,errors,err; |
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| 304 | grow,errflg,(err > ftol); |
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| 305 | if ( (err > ftol)) { |
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| 306 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 307 | } else { |
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| 308 | write,format="OK%s\n","."; |
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| 309 | } |
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| 310 | write,format="testing ruoadd(a,b,ur=200,un=20000) (double)...%s","."; |
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| 311 | U = double(S); |
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| 312 | V = U+T; |
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| 313 | a = spruo(T,ur=200,un=10000); |
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| 314 | c = spruo(U,ur=200,un=10000); |
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| 315 | d = ruoadd(a,c,ur=200,un=20000); |
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| 316 | dd = ruoinf(d); |
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| 317 | err = max(abs(V-dd)); |
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| 318 | grow,errors,err; |
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| 319 | grow,errflg,(err > dtol); |
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| 320 | if ( (err > dtol)) { |
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| 321 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 322 | } else { |
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| 323 | write,format="OK%s\n","."; |
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| 324 | } |
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| 325 | |
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| 326 | |
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| 327 | // Test 4: rcoata |
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| 328 | write,format="testing rcoata(a) (float)...%s","."; |
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| 329 | ATA = A(+,)*A(+,); |
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| 330 | a = sprco(A,ur=200,un=10000); |
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| 331 | d = rcoata(a); |
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| 332 | dd = ruoinf(d); |
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| 333 | err = max(abs(ATA-dd)); |
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| 334 | grow,errors,err; |
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| 335 | grow,errflg,(err > ftol); |
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| 336 | if ( (err > ftol)) { |
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| 337 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 338 | } else { |
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| 339 | write,format="OK%s\n","."; |
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| 340 | } |
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| 341 | write,format="testing rcoata(a) (double)...%s","."; |
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| 342 | BTB = B(+,)*B(+,); |
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| 343 | a = sprco(B,ur=200,un=10000); |
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| 344 | d = rcoata(a); |
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| 345 | dd = ruoinf(d); |
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| 346 | err = max(abs(BTB-dd)); |
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| 347 | grow,errors,err; |
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| 348 | grow,errflg,(err > dtol); |
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| 349 | if ( (err > dtol)) { |
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| 350 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 351 | } else { |
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| 352 | write,format="OK%s\n","."; |
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| 353 | } |
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| 354 | write,format="testing rcoata(a,ur=200,un=10000) (float)...%s","."; |
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| 355 | ATA = A(+,)*A(+,); |
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| 356 | a = sprco(A,ur=200,un=10000); |
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| 357 | d = rcoata(a,ur=200,un=10000); |
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| 358 | dd = ruoinf(d); |
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| 359 | err = max(abs(ATA-dd)); |
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| 360 | grow,errors,err; |
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| 361 | grow,errflg,(err > ftol); |
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| 362 | if ( (err > ftol)) { |
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| 363 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 364 | } else { |
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| 365 | write,format="OK%s\n","."; |
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| 366 | } |
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| 367 | write,format="testing rcoata(a,ur=200,un=10000) (double)...%s","."; |
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| 368 | BTB = B(+,)*B(+,); |
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| 369 | a = sprco(B,ur=200,un=10000); |
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| 370 | d = rcoata(a,ur=200,un=10000); |
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| 371 | dd = ruoinf(d); |
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| 372 | err = max(abs(BTB-dd)); |
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| 373 | grow,errors,err; |
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| 374 | grow,errflg,(err > dtol); |
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| 375 | if ( (err > dtol)) { |
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| 376 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 377 | } else { |
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| 378 | write,format="OK%s\n","."; |
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| 379 | } |
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| 380 | |
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| 381 | |
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| 382 | |
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| 383 | // Test 5: rcoatb |
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| 384 | write,format="testing rcoatb(a,b) (float)...%s","."; |
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| 385 | C = float(B); |
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| 386 | ATC = C(+,)*A(+,); |
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| 387 | a = sprco(A,ur=200,un=10000); |
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| 388 | c = sprco(C,ur=200,un=10000); |
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| 389 | d = rcoatb(a,c); |
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| 390 | dd = rcoinf(d); |
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| 391 | err = max(abs(ATC-dd)); |
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| 392 | grow,errors,err; |
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| 393 | grow,errflg,(err > ftol); |
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| 394 | if ( (err > ftol)) { |
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| 395 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 396 | } else { |
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| 397 | write,format="OK%s\n","."; |
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| 398 | } |
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| 399 | write,format="testing rcoatb(a,b) (double)...%s","."; |
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| 400 | C = double(A); |
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| 401 | ATC = C(+,)*B(+,); |
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| 402 | a = sprco(B,ur=200,un=10000); |
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| 403 | c = sprco(C,ur=200,un=10000); |
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| 404 | d = rcoatb(a,c); |
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| 405 | dd = rcoinf(d); |
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| 406 | err = max(abs(ATC-dd)); |
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| 407 | grow,errors,err; |
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| 408 | grow,errflg,(err > dtol); |
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| 409 | if ( (err > dtol)) { |
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| 410 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 411 | } else { |
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| 412 | write,format="OK%s\n","."; |
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| 413 | } |
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| 414 | write,format="testing rcoatb(a,b,ur=200,un=10000) (float)...%s","."; |
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| 415 | C = float(B); |
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| 416 | ATC = C(+,)*A(+,); |
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| 417 | a = sprco(A,ur=200,un=10000); |
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| 418 | c = sprco(C,ur=200,un=10000); |
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| 419 | d = rcoatb(a,c,ur=200,un=10000); |
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| 420 | dd = rcoinf(d); |
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| 421 | err = max(abs(ATC-dd)); |
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| 422 | grow,errors,err; |
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| 423 | grow,errflg,(err > ftol); |
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| 424 | if ( (err > ftol)) { |
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| 425 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 426 | } else { |
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| 427 | write,format="OK%s\n","."; |
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| 428 | } |
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| 429 | write,format="testing rcoatb(a,b,ur=200,un=10000) (double)...%s","."; |
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| 430 | C = double(A); |
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| 431 | ATC = C(+,)*B(+,); |
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| 432 | a = sprco(B,ur=200,un=10000); |
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| 433 | c = sprco(C,ur=200,un=10000); |
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| 434 | d = rcoatb(a,c,ur=200,un=10000); |
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| 435 | dd = rcoinf(d); |
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| 436 | err = max(abs(ATC-dd)); |
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| 437 | grow,errors,err; |
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| 438 | grow,errflg,(err > dtol); |
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| 439 | if ( (err > dtol)) { |
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| 440 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 441 | } else { |
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| 442 | write,format="OK%s\n","."; |
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| 443 | } |
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| 444 | |
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| 445 | |
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| 446 | |
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| 447 | // Test 6: rcoatb |
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| 448 | write,format="testing rcotr(a) (float)...%s","."; |
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| 449 | AT = transpose(A); |
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| 450 | a = sprco(A,ur=210,un=10000); |
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| 451 | at = rcotr(a); |
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| 452 | dd = rcoinf(at); |
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| 453 | err = max(abs(AT-dd)); |
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| 454 | grow,errors,err; |
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| 455 | grow,errflg,(err > ftol); |
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| 456 | if ( (err > ftol)) { |
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| 457 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 458 | } else { |
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| 459 | write,format="OK%s\n","."; |
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| 460 | } |
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| 461 | write,format="testing rcotr(a) (double)...%s","."; |
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| 462 | BT = transpose(B); |
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| 463 | a = sprco(B,ur=210,un=10000); |
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| 464 | at = rcotr(a); |
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| 465 | dd = rcoinf(at); |
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| 466 | err = max(abs(BT-dd)); |
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| 467 | grow,errors,err; |
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| 468 | grow,errflg,(err > ftol); |
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| 469 | if ( (err > ftol)) { |
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| 470 | write,format="ERROR OVERFLOW%s","!\n"; |
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| 471 | } else { |
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| 472 | write,format="OK%s\n","."; |
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| 473 | } |
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| 474 | |
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| 475 | |
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| 476 | write,"\nFinished!\n"; |
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| 477 | |
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| 478 | if (anyof(errflg)) { |
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| 479 | write,format="The script encountered %i (recoverable) error(s).\n",sum(errflg); |
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| 480 | write,format="The largest error by absolute value was %5.3e.\n",max(errors); |
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| 481 | write,"If this is much greater than the single precision error"; |
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| 482 | write,format=" tolerance (%4.0e), then something went seriously wrong.\n",ftol; |
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| 483 | write,"(if it is close, then no worries)\n" |
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| 484 | write,"To submit a bug report, email: rflicker@mac.com.\n"; |
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| 485 | } else { |
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| 486 | write,"All functions returned without errors.\n"; |
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| 487 | } |
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