| 1 | /************************** DISCLAIMER ********************************/
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| 2 | /* */
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| 3 | /* This file was generated on 04/13/17 09:49:48 by */
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| 4 | /* ADIC version /* */
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| 5 | /* ADIC was prepared as an account of work sponsored by an */
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| 6 | /* agency of the United States Government and the University of */
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| 7 | /* Chicago. NEITHER THE AUTHOR(S), THE UNITED STATES GOVERNMENT */
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| 8 | /* NOR ANY AGENCY THEREOF, NOR THE UNIVERSITY OF CHICAGO, INCLUDING */
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| 9 | /* ANY OF THEIR EMPLOYEES OR OFFICERS, MAKES ANY WARRANTY, EXPRESS */
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| 10 | /* OR IMPLIED, OR ASSUMES ANY LEGAL LIABILITY OR RESPONSIBILITY FOR */
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| 11 | /* THE ACCURACY, COMPLETENESS, OR USEFULNESS OF ANY INFORMATION OR */
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| 12 | /* PROCESS DISCLOSED, OR REPRESENTS THAT ITS USE WOULD NOT INFRINGE */
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| 13 | /* PRIVATELY OWNED RIGHTS. */
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| 14 | /* */
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| 15 | /**********************************************************************/
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| 16 | #ifdef ADIC_DENSE
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| 17 | #include "ad_types.h"
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| 18 | #endif
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| 19 | #ifdef ADIC_DENSE_REVERSE
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| 20 | #include "ad_types.h"
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| 21 | #endif
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| 22 | #ifdef ADIC_DENSE_SEED
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| 23 | #include "ad_types.h"
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| 24 | #endif
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| 25 | #ifdef ADIC_GRAD_LENGTH
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| 26 | #include "ad_grad_length_types.h"
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| 27 | #endif
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| 28 | #ifdef ADIC_SPARSE_NO_GRAD
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| 29 | #include "noderiv_sparslinc.h"
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| 30 | #endif
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| 31 | #ifdef ADIC_SPARSE
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| 32 | #include "sparslinc.h"
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| 33 | #endif
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| 34 | #define epsilon 1.00000e-14
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| 35 | /*****************************************************************************/
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| 36 | /* This set of functions reference triangular elements to an equilateral */
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| 37 | /* triangle. The input are the coordinates in the following order: */
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| 38 | /* [x1 x2 x3 y1 y2 y3] */
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| 39 | /* A zero return value indicates success, while a nonzero value indicates */
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| 40 | /* failure. */
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| 41 | /*****************************************************************************/
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| 42 | /* Not all compilers substitute out constants (especially the square root). */
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| 43 | /* Therefore, they are substituted out manually. The values below were */
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| 44 | /* calculated on a solaris machine using long doubles. I believe they are */
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| 45 | /* accurate. */
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| 46 | /*****************************************************************************/
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| 47 | #define sqrt3 .577350269189625797959429519858
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| 48 | /* 1.0/sqrt(3.0) */
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| 49 | /*#define tsqrt3 1.15470053837925159591885903972 2.0/sqrt(3.0) */
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| 50 | #define a .500000000000000000000000000000 /* 1.0/2.0 */
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| 51 | #define b -1.00000000000000000000000000000 /* -1.0/1.0 */
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| 52 | #define bm1 -2.00000000000000000000000000000 /* -2.0/1.0 */
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| 53 | // = 2.0/sqrt3;
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| 54 | /* double tsqrt3; */
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| 55 | DERIV_TYPE tsqrt3;
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| 56 | //double tsqrt3 = 2.0/sqrt3;
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| 57 | /* const */
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| 58 | /*x)*/
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| 59 |
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| 60 | void ad_o_fcn(DERIV_TYPE *ad_var_ret,DERIV_TYPE *obj,DERIV_TYPE x[6])
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| 61 | {
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| 62 | int ad_Symbol_3;
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| 63 | int ad_Symbol_5;
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| 64 | int ad_Symbol_4;
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| 65 | DERIV_TYPE ad_prp_0;
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| 66 | DERIV_TYPE ad_prp_1;
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| 67 | DERIV_TYPE ad_prp_4;
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| 68 | DERIV_TYPE ad_prp_3;
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| 69 | DERIV_TYPE ad_prp_2;
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| 70 | DERIV_TYPE ad_prp_5;
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| 71 | DERIV_TYPE ad_prp_6;
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| 72 | DERIV_TYPE ad_prp_7;
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| 73 | DERIV_TYPE ad_prp_10;
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| 74 | DERIV_TYPE ad_prp_9;
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| 75 | DERIV_TYPE ad_prp_8;
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| 76 | DERIV_TYPE ad_prp_11;
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| 77 | DERIV_TYPE ad_prp_12;
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| 78 | DERIV_TYPE ad_prp_13;
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| 79 | DERIV_TYPE ad_prp_14;
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| 80 | DERIV_TYPE ad_prp_15;
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| 81 | double ad_Symbol_9;
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| 82 | double ad_Symbol_8;
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| 83 | double ad_Symbol_7;
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| 84 | double ad_Symbol_6;
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| 85 | DERIV_TYPE ad_prp_18;
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| 86 | DERIV_TYPE ad_prp_19;
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| 87 | DERIV_TYPE ad_prp_20;
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| 88 | DERIV_TYPE ad_prp_21;
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| 89 | DERIV_TYPE ad_prp_22;
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| 90 | DERIV_TYPE ad_prp_23;
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| 91 | DERIV_TYPE ad_prp_24;
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| 92 | DERIV_TYPE ad_prp_25;
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| 93 | double ad_Symbol_19;
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| 94 | double ad_Symbol_18;
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| 95 | double ad_Symbol_17;
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| 96 | double ad_Symbol_16;
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| 97 | double ad_Symbol_15;
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| 98 | double ad_Symbol_14;
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| 99 | double ad_Symbol_13;
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| 100 | double ad_Symbol_12;
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| 101 | DERIV_TYPE ad_prp_27;
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| 102 | DERIV_TYPE ad_prp_26;
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| 103 | double ad_Symbol_11;
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| 104 | double ad_Symbol_10;
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| 105 | DERIV_TYPE ad_prp_16;
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| 106 | int ad_Symbol_0;
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| 107 | DERIV_TYPE ad_prp_17;
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| 108 | int ad_Symbol_2;
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| 109 | double ad_acc_2;
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| 110 | double ad_lin_13;
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| 111 | double ad_lin_12;
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| 112 | double ad_aux_2;
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| 113 | double ad_lin_11;
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| 114 | double ad_lin_10;
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| 115 | double ad_lin_9;
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| 116 | double ad_lin_8;
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| 117 | double ad_lin_7;
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| 118 | double ad_lin_6;
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| 119 | double ad_lin_5;
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| 120 | double ad_lin_4;
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| 121 | int ad_Symbol_1;
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| 122 | double ad_acc_1;
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| 123 | double ad_acc_0;
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| 124 | double ad_lin_3;
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| 125 | double ad_lin_2;
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| 126 | double ad_lin_1;
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| 127 | double ad_lin_0;
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| 128 | double ad_aux_1;
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| 129 | double ad_aux_0;
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| 130 | DERIV_TYPE f;
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| 131 | DERIV_TYPE g;
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| 132 | DERIV_TYPE matr[4];
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| 133 | DERIV_TYPE retval;
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| 134 | ZeroDeriv(ad_prp_0);
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| 135 | DERIV_val(ad_prp_0) = 0.00000;
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| 136 | ZeroDeriv(ad_prp_1);
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| 137 | DERIV_val(ad_prp_1) = 0.00000;
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| 138 | ZeroDeriv(ad_prp_4);
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| 139 | DERIV_val(ad_prp_4) = 0.00000;
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| 140 | ZeroDeriv(ad_prp_3);
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| 141 | DERIV_val(ad_prp_3) = 0.00000;
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| 142 | ZeroDeriv(ad_prp_2);
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| 143 | DERIV_val(ad_prp_2) = 0.00000;
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| 144 | ZeroDeriv(ad_prp_5);
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| 145 | DERIV_val(ad_prp_5) = 0.00000;
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| 146 | ZeroDeriv(ad_prp_6);
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| 147 | DERIV_val(ad_prp_6) = 0.00000;
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| 148 | ZeroDeriv(ad_prp_7);
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| 149 | DERIV_val(ad_prp_7) = 0.00000;
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| 150 | ZeroDeriv(ad_prp_10);
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| 151 | DERIV_val(ad_prp_10) = 0.00000;
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| 152 | ZeroDeriv(ad_prp_9);
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| 153 | DERIV_val(ad_prp_9) = 0.00000;
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| 154 | ZeroDeriv(ad_prp_8);
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| 155 | DERIV_val(ad_prp_8) = 0.00000;
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| 156 | ZeroDeriv(ad_prp_11);
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| 157 | DERIV_val(ad_prp_11) = 0.00000;
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| 158 | ZeroDeriv(ad_prp_12);
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| 159 | DERIV_val(ad_prp_12) = 0.00000;
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| 160 | ZeroDeriv(ad_prp_13);
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| 161 | DERIV_val(ad_prp_13) = 0.00000;
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| 162 | ZeroDeriv(ad_prp_14);
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| 163 | DERIV_val(ad_prp_14) = 0.00000;
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| 164 | ZeroDeriv(ad_prp_15);
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| 165 | DERIV_val(ad_prp_15) = 0.00000;
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| 166 | ZeroDeriv(ad_prp_18);
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| 167 | DERIV_val(ad_prp_18) = 0.00000;
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| 168 | ZeroDeriv(ad_prp_19);
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| 169 | DERIV_val(ad_prp_19) = 0.00000;
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| 170 | ZeroDeriv(ad_prp_20);
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| 171 | DERIV_val(ad_prp_20) = 0.00000;
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| 172 | ZeroDeriv(ad_prp_21);
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| 173 | DERIV_val(ad_prp_21) = 0.00000;
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| 174 | ZeroDeriv(ad_prp_22);
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| 175 | DERIV_val(ad_prp_22) = 0.00000;
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| 176 | ZeroDeriv(ad_prp_23);
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| 177 | DERIV_val(ad_prp_23) = 0.00000;
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| 178 | ZeroDeriv(ad_prp_24);
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| 179 | DERIV_val(ad_prp_24) = 0.00000;
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| 180 | ZeroDeriv(ad_prp_25);
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| 181 | DERIV_val(ad_prp_25) = 0.00000;
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| 182 | ZeroDeriv(ad_prp_27);
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| 183 | DERIV_val(ad_prp_27) = 0.00000;
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| 184 | ZeroDeriv(ad_prp_26);
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| 185 | DERIV_val(ad_prp_26) = 0.00000;
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| 186 | ZeroDeriv(ad_prp_16);
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| 187 | DERIV_val(ad_prp_16) = 0.00000;
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| 188 | ZeroDeriv(ad_prp_17);
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| 189 | DERIV_val(ad_prp_17) = 0.00000;
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| 190 | ZeroDeriv(f);
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| 191 | DERIV_val(f) = 0.00000;
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| 192 | ZeroDeriv(g);
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| 193 | DERIV_val(g) = 0.00000;
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| 194 | ZeroDerivvector(matr,4);
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| 195 | SetZeroValvector(matr,4);
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| 196 | ZeroDeriv(retval);
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| 197 | DERIV_val(retval) = 0.00000;
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| 198 | if (our_rev_mode . plain == 1) {
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| 199 | /* static */
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| 200 | /* double matr[4]; double f; double g; double retval; */
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| 201 | DERIV_TYPE matr[4];
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| 202 | DERIV_TYPE f;
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| 203 | /* static */
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| 204 | DERIV_TYPE g;
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| 205 | DERIV_TYPE retval;
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| 206 | DERIV_val(retval) = 0.00000;
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| 207 | DERIV_val(matr[0]) = DERIV_val(x[1]) - DERIV_val(x[0]);
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| 208 | DERIV_val(matr[1]) = (2.00000 * DERIV_val(x[2]) - DERIV_val(x[1]) - DERIV_val(x[0])) * 0.577350269189625797959429519858;
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| 209 | DERIV_val(matr[2]) = DERIV_val(x[4]) - DERIV_val(x[3]);
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| 210 | DERIV_val(matr[3]) = (2.00000 * DERIV_val(x[5]) - DERIV_val(x[4]) - DERIV_val(x[3])) * 0.577350269189625797959429519858;
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| 211 | DERIV_val(g) = DERIV_val(matr[0]) * DERIV_val(matr[3]) - DERIV_val(matr[1]) * DERIV_val(matr[2]);
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| 212 | if (DERIV_val(g) <= 1.00000e-14) {
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| 213 | DERIV_val( *obj) = DERIV_val(g);
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| 214 | DERIV_val(retval) = 1.00000;
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| 215 | }
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| 216 | else {
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| 217 | DERIV_val(f) = DERIV_val(matr[0]) * DERIV_val(matr[0]) + DERIV_val(matr[1]) * DERIV_val(matr[1]) + DERIV_val(matr[2]) * DERIV_val(matr[2]) + DERIV_val(matr[3]) * DERIV_val(matr[3]);
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| 218 | DERIV_val( *obj) = 0.500000 * DERIV_val(f) / DERIV_val(g);
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| 219 | }
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| 220 | DERIV_val( *ad_var_ret) = DERIV_val(retval);
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| 221 | }
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| 222 | else if (our_rev_mode . tape == 1) {
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| 223 | /* static */
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| 224 | /* double matr[4]; double f; double g; double retval; */
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| 225 | DERIV_TYPE matr[4];
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| 226 | DERIV_TYPE f;
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| 227 | /* static */
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| 228 | DERIV_TYPE g;
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| 229 | DERIV_TYPE retval;
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| 230 | DERIV_val(retval) = 0.00000;
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| 231 | DERIV_val(matr[0]) = DERIV_val(x[1]) - DERIV_val(x[0]);
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| 232 | ad_aux_0 = 2.00000 * DERIV_val(x[2]) - DERIV_val(x[1]) - DERIV_val(x[0]);
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| 233 | DERIV_val(matr[1]) = ad_aux_0 * 0.577350269189625797959429519858;
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| 234 | DERIV_val(matr[2]) = DERIV_val(x[4]) - DERIV_val(x[3]);
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| 235 | ad_aux_1 = 2.00000 * DERIV_val(x[5]) - DERIV_val(x[4]) - DERIV_val(x[3]);
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| 236 | DERIV_val(matr[3]) = ad_aux_1 * 0.577350269189625797959429519858;
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| 237 | ad_lin_0 = DERIV_val(matr[3]);
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| 238 | ad_lin_1 = DERIV_val(matr[0]);
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| 239 | ad_lin_2 = DERIV_val(matr[2]);
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| 240 | ad_lin_3 = DERIV_val(matr[1]);
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| 241 | DERIV_val(g) = DERIV_val(matr[0]) * DERIV_val(matr[3]) - DERIV_val(matr[1]) * DERIV_val(matr[2]);
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| 242 | ad_acc_0 = ad_lin_2 * -1;
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| 243 | ad_acc_1 = ad_lin_3 * -1;
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| 244 | push_s0(ad_lin_0);
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| 245 | push_s0(ad_lin_1);
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| 246 | push_s0(ad_acc_0);
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| 247 | push_s0(ad_acc_1);
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| 248 | if (DERIV_val(g) <= 1.00000e-14) {
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| 249 | DERIV_val( *obj) = DERIV_val(g);
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| 250 | DERIV_val(retval) = 1.00000;
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| 251 | ad_Symbol_1 = 1;
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| 252 | push_i_s0(ad_Symbol_1);
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| 253 | }
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| 254 | else {
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| 255 | ad_lin_4 = DERIV_val(matr[0]);
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| 256 | ad_lin_5 = DERIV_val(matr[0]);
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| 257 | ad_lin_6 = DERIV_val(matr[1]);
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| 258 | ad_lin_7 = DERIV_val(matr[1]);
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| 259 | ad_lin_8 = DERIV_val(matr[2]);
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| 260 | ad_lin_9 = DERIV_val(matr[2]);
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| 261 | ad_lin_10 = DERIV_val(matr[3]);
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| 262 | ad_lin_11 = DERIV_val(matr[3]);
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| 263 | DERIV_val(f) = DERIV_val(matr[0]) * DERIV_val(matr[0]) + DERIV_val(matr[1]) * DERIV_val(matr[1]) + DERIV_val(matr[2]) * DERIV_val(matr[2]) + DERIV_val(matr[3]) * DERIV_val(matr[3]);
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| 264 | push_s0(ad_lin_4);
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| 265 | push_s0(ad_lin_5);
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| 266 | push_s0(ad_lin_6);
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| 267 | push_s0(ad_lin_7);
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| 268 | push_s0(ad_lin_8);
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| 269 | push_s0(ad_lin_9);
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| 270 | push_s0(ad_lin_10);
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| 271 | push_s0(ad_lin_11);
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| 272 | ad_aux_2 = 0.500000 * DERIV_val(f);
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| 273 | ad_lin_12 = 1.00000 / DERIV_val(g);
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| 274 | ad_lin_13 = -(ad_aux_2 / (DERIV_val(g) * DERIV_val(g)));
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| 275 | DERIV_val( *obj) = ad_aux_2 / DERIV_val(g);
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| 276 | ad_acc_2 = 0.500000 * ad_lin_12;
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| 277 | push_s0(ad_lin_13);
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| 278 | push_s0(ad_acc_2);
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| 279 | ad_Symbol_2 = 0;
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| 280 | push_i_s0(ad_Symbol_2);
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| 281 | }
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| 282 | DERIV_val( *ad_var_ret) = DERIV_val(retval);
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| 283 | }
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| 284 | else if (our_rev_mode . adjoint == 1) {
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| 285 | IncDeriv(ad_prp_17, *ad_var_ret);
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| 286 | ZeroDeriv( *ad_var_ret);
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| 287 | IncDeriv(retval,ad_prp_17);
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| 288 | ZeroDeriv(ad_prp_17);
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| 289 | pop_i_s0(ad_Symbol_0);
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| 290 | if (ad_Symbol_0 != 0) {
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| 291 | IncDeriv(ad_prp_16, *obj);
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| 292 | ZeroDeriv( *obj);
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| 293 | IncDeriv(g,ad_prp_16);
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| 294 | ZeroDeriv(ad_prp_16);
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| 295 | ZeroDeriv(retval);
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| 296 | }
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| 297 | else {
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| 298 | pop_s0(ad_Symbol_10);
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| 299 | pop_s0(ad_Symbol_11);
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| 300 | Saxpy(ad_Symbol_10, *obj,ad_prp_26);
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| 301 | Saxpy(ad_Symbol_11, *obj,ad_prp_27);
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| 302 | ZeroDeriv( *obj);
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| 303 | IncDeriv(g,ad_prp_27);
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| 304 | ZeroDeriv(ad_prp_27);
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| 305 | IncDeriv(f,ad_prp_26);
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| 306 | ZeroDeriv(ad_prp_26);
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| 307 | pop_s0(ad_Symbol_12);
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| 308 | pop_s0(ad_Symbol_13);
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| 309 | pop_s0(ad_Symbol_14);
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| 310 | pop_s0(ad_Symbol_15);
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| 311 | pop_s0(ad_Symbol_16);
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| 312 | pop_s0(ad_Symbol_17);
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| 313 | pop_s0(ad_Symbol_18);
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| 314 | pop_s0(ad_Symbol_19);
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| 315 | Saxpy(ad_Symbol_12,f,ad_prp_25);
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| 316 | Saxpy(ad_Symbol_13,f,ad_prp_24);
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| 317 | Saxpy(ad_Symbol_14,f,ad_prp_23);
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| 318 | Saxpy(ad_Symbol_15,f,ad_prp_22);
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| 319 | Saxpy(ad_Symbol_16,f,ad_prp_21);
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| 320 | Saxpy(ad_Symbol_17,f,ad_prp_20);
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| 321 | Saxpy(ad_Symbol_18,f,ad_prp_19);
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| 322 | Saxpy(ad_Symbol_19,f,ad_prp_18);
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| 323 | ZeroDeriv(f);
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| 324 | IncDeriv(matr[3],ad_prp_25);
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| 325 | ZeroDeriv(ad_prp_25);
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| 326 | IncDeriv(matr[3],ad_prp_24);
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| 327 | ZeroDeriv(ad_prp_24);
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| 328 | IncDeriv(matr[2],ad_prp_23);
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| 329 | ZeroDeriv(ad_prp_23);
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| 330 | IncDeriv(matr[2],ad_prp_22);
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| 331 | ZeroDeriv(ad_prp_22);
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| 332 | IncDeriv(matr[1],ad_prp_21);
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| 333 | ZeroDeriv(ad_prp_21);
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| 334 | IncDeriv(matr[1],ad_prp_20);
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| 335 | ZeroDeriv(ad_prp_20);
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| 336 | IncDeriv(matr[0],ad_prp_19);
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| 337 | ZeroDeriv(ad_prp_19);
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| 338 | IncDeriv(matr[0],ad_prp_18);
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| 339 | ZeroDeriv(ad_prp_18);
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| 340 | }
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| 341 | pop_s0(ad_Symbol_6);
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| 342 | pop_s0(ad_Symbol_7);
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| 343 | pop_s0(ad_Symbol_8);
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| 344 | pop_s0(ad_Symbol_9);
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| 345 | Saxpy(ad_Symbol_6,g,ad_prp_15);
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| 346 | Saxpy(ad_Symbol_7,g,ad_prp_14);
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| 347 | Saxpy(ad_Symbol_8,g,ad_prp_13);
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|---|
| 348 | Saxpy(ad_Symbol_9,g,ad_prp_12);
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|---|
| 349 | ZeroDeriv(g);
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|---|
| 350 | IncDeriv(matr[2],ad_prp_15);
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| 351 | ZeroDeriv(ad_prp_15);
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|---|
| 352 | IncDeriv(matr[1],ad_prp_14);
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|---|
| 353 | ZeroDeriv(ad_prp_14);
|
|---|
| 354 | IncDeriv(matr[3],ad_prp_13);
|
|---|
| 355 | ZeroDeriv(ad_prp_13);
|
|---|
| 356 | IncDeriv(matr[0],ad_prp_12);
|
|---|
| 357 | ZeroDeriv(ad_prp_12);
|
|---|
| 358 | Saxpy(0.577350269189625797959429519858,matr[3],ad_prp_11);
|
|---|
| 359 | ZeroDeriv(matr[3]);
|
|---|
| 360 | Saxpy(2.00000,ad_prp_11,ad_prp_8);
|
|---|
| 361 | DecDeriv(ad_prp_9,ad_prp_11);
|
|---|
| 362 | DecDeriv(ad_prp_10,ad_prp_11);
|
|---|
| 363 | ZeroDeriv(ad_prp_11);
|
|---|
| 364 | IncDeriv(x[3],ad_prp_10);
|
|---|
| 365 | ZeroDeriv(ad_prp_10);
|
|---|
| 366 | IncDeriv(x[4],ad_prp_9);
|
|---|
| 367 | ZeroDeriv(ad_prp_9);
|
|---|
| 368 | IncDeriv(x[5],ad_prp_8);
|
|---|
| 369 | ZeroDeriv(ad_prp_8);
|
|---|
| 370 | DecDeriv(ad_prp_7,matr[2]);
|
|---|
| 371 | IncDeriv(ad_prp_6,matr[2]);
|
|---|
| 372 | ZeroDeriv(matr[2]);
|
|---|
| 373 | IncDeriv(x[3],ad_prp_7);
|
|---|
| 374 | ZeroDeriv(ad_prp_7);
|
|---|
| 375 | IncDeriv(x[4],ad_prp_6);
|
|---|
| 376 | ZeroDeriv(ad_prp_6);
|
|---|
| 377 | Saxpy(0.577350269189625797959429519858,matr[1],ad_prp_5);
|
|---|
| 378 | ZeroDeriv(matr[1]);
|
|---|
| 379 | Saxpy(2.00000,ad_prp_5,ad_prp_2);
|
|---|
| 380 | DecDeriv(ad_prp_3,ad_prp_5);
|
|---|
| 381 | DecDeriv(ad_prp_4,ad_prp_5);
|
|---|
| 382 | ZeroDeriv(ad_prp_5);
|
|---|
| 383 | IncDeriv(x[0],ad_prp_4);
|
|---|
| 384 | ZeroDeriv(ad_prp_4);
|
|---|
| 385 | IncDeriv(x[1],ad_prp_3);
|
|---|
| 386 | ZeroDeriv(ad_prp_3);
|
|---|
| 387 | IncDeriv(x[2],ad_prp_2);
|
|---|
| 388 | ZeroDeriv(ad_prp_2);
|
|---|
| 389 | DecDeriv(ad_prp_1,matr[0]);
|
|---|
| 390 | IncDeriv(ad_prp_0,matr[0]);
|
|---|
| 391 | ZeroDeriv(matr[0]);
|
|---|
| 392 | IncDeriv(x[0],ad_prp_1);
|
|---|
| 393 | ZeroDeriv(ad_prp_1);
|
|---|
| 394 | IncDeriv(x[1],ad_prp_0);
|
|---|
| 395 | ZeroDeriv(ad_prp_0);
|
|---|
| 396 | ZeroDeriv(retval);
|
|---|
| 397 | }
|
|---|
| 398 | }
|
|---|