[170] | 1 | /****************************************************************************/ |
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| 2 | /* VECTMATH.H: include file for vector/matrix operations. */ |
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| 3 | /* Copyright (c) 1999 by Joshua E. Barnes, Tokyo, JAPAN. */ |
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| 4 | /****************************************************************************/ |
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| 5 | |
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| 6 | #ifndef _vectmath_h |
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| 7 | #define _vectmath_h |
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| 8 | |
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| 9 | #include "vectdefs.h" |
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| 10 | |
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| 11 | /* |
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| 12 | * Vector operations. |
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| 13 | */ |
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| 14 | |
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| 15 | #define CLRV(v) /* CLeaR Vector */ \ |
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| 16 | { \ |
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| 17 | int _i; \ |
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| 18 | for (_i = 0; _i < NDIM; _i++) \ |
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| 19 | (v)[_i] = 0.0; \ |
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| 20 | } |
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| 21 | |
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| 22 | #define UNITV(v,j) /* UNIT Vector */ \ |
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| 23 | { \ |
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| 24 | int _i; \ |
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| 25 | for (_i = 0; _i < NDIM; _i++) \ |
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| 26 | (v)[_i] = (_i == (j) ? 1.0 : 0.0); \ |
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| 27 | } |
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| 28 | |
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| 29 | #define SETV(v,u) /* SET Vector */ \ |
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| 30 | { \ |
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| 31 | int _i; \ |
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| 32 | for (_i = 0; _i < NDIM; _i++) \ |
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| 33 | (v)[_i] = (u)[_i]; \ |
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| 34 | } |
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| 35 | |
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| 36 | #if defined(THREEDIM) |
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| 37 | |
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| 38 | #define ADDV(v,u,w) /* ADD Vector */ \ |
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| 39 | { \ |
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| 40 | (v)[0] = (u)[0] + (w)[0]; \ |
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| 41 | (v)[1] = (u)[1] + (w)[1]; \ |
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| 42 | (v)[2] = (u)[2] + (w)[2]; \ |
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| 43 | } |
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| 44 | |
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| 45 | #define SUBV(v,u,w) /* SUBtract Vector */ \ |
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| 46 | { \ |
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| 47 | (v)[0] = (u)[0] - (w)[0]; \ |
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| 48 | (v)[1] = (u)[1] - (w)[1]; \ |
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| 49 | (v)[2] = (u)[2] - (w)[2]; \ |
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| 50 | } |
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| 51 | |
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| 52 | #define MULVS(v,u,s) /* MULtiply Vector by Scalar */ \ |
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| 53 | { \ |
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| 54 | (v)[0] = (u)[0] * s; \ |
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| 55 | (v)[1] = (u)[1] * s; \ |
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| 56 | (v)[2] = (u)[2] * s; \ |
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| 57 | } |
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| 58 | |
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| 59 | #else |
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| 60 | |
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| 61 | #define ADDV(v,u,w) /* ADD Vector */ \ |
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| 62 | { \ |
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| 63 | int _i; \ |
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| 64 | for (_i = 0; _i < NDIM; _i++) \ |
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| 65 | (v)[_i] = (u)[_i] + (w)[_i]; \ |
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| 66 | } |
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| 67 | |
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| 68 | #define SUBV(v,u,w) /* SUBtract Vector */ \ |
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| 69 | { \ |
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| 70 | int _i; \ |
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| 71 | for (_i = 0; _i < NDIM; _i++) \ |
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| 72 | (v)[_i] = (u)[_i] - (w)[_i]; \ |
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| 73 | } |
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| 74 | |
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| 75 | #define MULVS(v,u,s) /* MULtiply Vector by Scalar */ \ |
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| 76 | { \ |
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| 77 | int _i; \ |
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| 78 | for (_i = 0; _i < NDIM; _i++) \ |
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| 79 | (v)[_i] = (u)[_i] * (s); \ |
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| 80 | } |
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| 81 | |
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| 82 | #endif |
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| 83 | |
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| 84 | #define DIVVS(v,u,s) /* DIVide Vector by Scalar */ \ |
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| 85 | { \ |
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| 86 | int _i; \ |
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| 87 | for (_i = 0; _i < NDIM; _i++) \ |
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| 88 | (v)[_i] = (u)[_i] / (s); \ |
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| 89 | } |
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| 90 | |
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| 91 | #if defined(THREEDIM) |
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| 92 | |
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| 93 | #define DOTVP(s,v,u) /* DOT Vector Product */ \ |
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| 94 | { \ |
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| 95 | (s) = (v)[0]*(u)[0] + (v)[1]*(u)[1] + (v)[2]*(u)[2]; \ |
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| 96 | } |
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| 97 | |
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| 98 | #else |
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| 99 | |
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| 100 | #define DOTVP(s,v,u) /* DOT Vector Product */ \ |
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| 101 | { \ |
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| 102 | int _i; \ |
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| 103 | (s) = 0.0; \ |
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| 104 | for (_i = 0; _i < NDIM; _i++) \ |
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| 105 | (s) += (v)[_i] * (u)[_i]; \ |
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| 106 | } |
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| 107 | |
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| 108 | #endif |
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| 109 | |
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| 110 | #define ABSV(s,v) /* ABSolute value of a Vector */ \ |
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| 111 | { \ |
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| 112 | real _tmp; \ |
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| 113 | int _i; \ |
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| 114 | _tmp = 0.0; \ |
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| 115 | for (_i = 0; _i < NDIM; _i++) \ |
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| 116 | _tmp += (v)[_i] * (v)[_i]; \ |
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| 117 | (s) = rsqrt(_tmp); \ |
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| 118 | } |
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| 119 | |
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| 120 | #define DISTV(s,u,v) /* DISTance between Vectors */ \ |
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| 121 | { \ |
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| 122 | real _tmp; \ |
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| 123 | int _i; \ |
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| 124 | _tmp = 0.0; \ |
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| 125 | for (_i = 0; _i < NDIM; _i++) \ |
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| 126 | _tmp += ((u)[_i]-(v)[_i]) * ((u)[_i]-(v)[_i]); \ |
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| 127 | (s) = rsqrt(_tmp); \ |
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| 128 | } |
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| 129 | |
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| 130 | #if defined(TWODIM) |
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| 131 | |
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| 132 | #define CROSSVP(s,v,u) /* CROSS Vector Product */ \ |
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| 133 | { \ |
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| 134 | (s) = (v)[0]*(u)[1] - (v)[1]*(u)[0]; \ |
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| 135 | } |
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| 136 | |
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| 137 | #endif |
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| 138 | |
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| 139 | #if defined(THREEDIM) |
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| 140 | |
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| 141 | #define CROSSVP(v,u,w) /* CROSS Vector Product */ \ |
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| 142 | { \ |
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| 143 | (v)[0] = (u)[1]*(w)[2] - (u)[2]*(w)[1]; \ |
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| 144 | (v)[1] = (u)[2]*(w)[0] - (u)[0]*(w)[2]; \ |
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| 145 | (v)[2] = (u)[0]*(w)[1] - (u)[1]*(w)[0]; \ |
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| 146 | } |
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| 147 | |
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| 148 | #endif |
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| 149 | |
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| 150 | /* |
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| 151 | * Matrix operations. |
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| 152 | */ |
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| 153 | |
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| 154 | #define CLRM(p) /* CLeaR Matrix */ \ |
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| 155 | { \ |
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| 156 | int _i, _j; \ |
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| 157 | for (_i = 0; _i < NDIM; _i++) \ |
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| 158 | for (_j = 0; _j < NDIM; _j++) \ |
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| 159 | (p)[_i][_j] = 0.0; \ |
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| 160 | } |
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| 161 | |
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| 162 | #define SETMI(p) /* SET Matrix to Identity */ \ |
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| 163 | { \ |
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| 164 | int _i, _j; \ |
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| 165 | for (_i = 0; _i < NDIM; _i++) \ |
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| 166 | for (_j = 0; _j < NDIM; _j++) \ |
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| 167 | (p)[_i][_j] = (_i == _j ? 1.0 : 0.0); \ |
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| 168 | } |
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| 169 | |
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| 170 | #define SETM(p,q) /* SET Matrix */ \ |
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| 171 | { \ |
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| 172 | int _i, _j; \ |
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| 173 | for (_i = 0; _i < NDIM; _i++) \ |
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| 174 | for (_j = 0; _j < NDIM; _j++) \ |
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| 175 | (p)[_i][_j] = (q)[_i][_j]; \ |
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| 176 | } |
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| 177 | |
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| 178 | #define TRANM(p,q) /* TRANspose Matrix */ \ |
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| 179 | { \ |
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| 180 | int _i, _j; \ |
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| 181 | for (_i = 0; _i < NDIM; _i++) \ |
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| 182 | for (_j = 0; _j < NDIM; _j++) \ |
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| 183 | (p)[_i][_j] = (q)[_j][_i]; \ |
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| 184 | } |
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| 185 | |
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| 186 | #define ADDM(p,q,r) /* ADD Matrix */ \ |
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| 187 | { \ |
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| 188 | int _i, _j; \ |
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| 189 | for (_i = 0; _i < NDIM; _i++) \ |
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| 190 | for (_j = 0; _j < NDIM; _j++) \ |
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| 191 | (p)[_i][_j] = (q)[_i][_j] + (r)[_i][_j]; \ |
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| 192 | } |
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| 193 | |
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| 194 | #define SUBM(p,q,r) /* SUBtract Matrix */ \ |
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| 195 | { \ |
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| 196 | int _i, _j; \ |
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| 197 | for (_i = 0; _i < NDIM; _i++) \ |
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| 198 | for (_j = 0; _j < NDIM; _j++) \ |
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| 199 | (p)[_i][_j] = (q)[_i][_j] - (r)[_i][_j]; \ |
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| 200 | } |
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| 201 | |
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| 202 | #define MULM(p,q,r) /* Multiply Matrix */ \ |
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| 203 | { \ |
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| 204 | int _i, _j, _k; \ |
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| 205 | for (_i = 0; _i < NDIM; _i++) \ |
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| 206 | for (_j = 0; _j < NDIM; _j++) { \ |
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| 207 | (p)[_i][_j] = 0.0; \ |
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| 208 | for (_k = 0; _k < NDIM; _k++) \ |
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| 209 | (p)[_i][_j] += (q)[_i][_k] * (r)[_k][_j]; \ |
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| 210 | } \ |
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| 211 | } |
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| 212 | |
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| 213 | #define MULMS(p,q,s) /* MULtiply Matrix by Scalar */ \ |
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| 214 | { \ |
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| 215 | int _i, _j; \ |
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| 216 | for (_i = 0; _i < NDIM; _i++) \ |
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| 217 | for (_j = 0; _j < NDIM; _j++) \ |
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| 218 | (p)[_i][_j] = (q)[_i][_j] * (s); \ |
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| 219 | } |
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| 220 | |
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| 221 | #define DIVMS(p,q,s) /* DIVide Matrix by Scalar */ \ |
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| 222 | { \ |
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| 223 | int _i, _j; \ |
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| 224 | for (_i = 0; _i < NDIM; _i++) \ |
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| 225 | for (_j = 0; _j < NDIM; _j++) \ |
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| 226 | (p)[_i][_j] = (q)[_i][_j] / (s); \ |
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| 227 | } |
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| 228 | |
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| 229 | #define MULMV(v,p,u) /* MULtiply Matrix by Vector */ \ |
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| 230 | { \ |
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| 231 | int _i, _j; \ |
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| 232 | for (_i = 0; _i < NDIM; _i++) { \ |
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| 233 | (v)[_i] = 0.0; \ |
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| 234 | for (_j = 0; _j < NDIM; _j++) \ |
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| 235 | (v)[_i] += (p)[_i][_j] * (u)[_j]; \ |
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| 236 | } \ |
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| 237 | } |
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| 238 | |
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| 239 | #define OUTVP(p,v,u) /* OUTer Vector Product */ \ |
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| 240 | { \ |
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| 241 | int _i, _j; \ |
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| 242 | for (_i = 0; _i < NDIM; _i++) \ |
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| 243 | for (_j = 0; _j < NDIM; _j++) \ |
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| 244 | (p)[_i][_j] = (v)[_i] * (u)[_j]; \ |
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| 245 | } |
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| 246 | |
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| 247 | #define TRACEM(s,p) /* TRACE of Matrix */ \ |
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| 248 | { \ |
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| 249 | int _i; \ |
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| 250 | (s) = 0.0; \ |
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| 251 | for (_i = 0.0; _i < NDIM; _i++) \ |
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| 252 | (s) += (p)[_i][_i]; \ |
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| 253 | } |
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| 254 | |
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| 255 | /* |
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| 256 | * Enhancements for tree codes. |
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| 257 | */ |
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| 258 | |
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| 259 | #if defined(THREEDIM) |
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| 260 | |
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| 261 | #define DOTPSUBV(s,v,u,w) /* SUB Vectors, form DOT Prod */ \ |
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| 262 | { \ |
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| 263 | (v)[0] = (u)[0] - (w)[0]; (s) = (v)[0] * (v)[0]; \ |
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| 264 | (v)[1] = (u)[1] - (w)[1]; (s) += (v)[1] * (v)[1]; \ |
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| 265 | (v)[2] = (u)[2] - (w)[2]; (s) += (v)[2] * (v)[2]; \ |
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| 266 | } |
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| 267 | |
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| 268 | #define DOTPMULMV(s,v,p,u) /* MUL Mat by Vect, form DOT Prod */ \ |
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| 269 | { \ |
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| 270 | DOTVP(v[0], p[0], u); (s) = (v)[0] * (u)[0]; \ |
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| 271 | DOTVP(v[1], p[1], u); (s) += (v)[1] * (u)[1]; \ |
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| 272 | DOTVP(v[2], p[2], u); (s) += (v)[2] * (u)[2]; \ |
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| 273 | } |
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| 274 | |
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| 275 | #define ADDMULVS(v,u,s) /* MUL Vect by Scalar, ADD to vect */ \ |
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| 276 | { \ |
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| 277 | (v)[0] += (u)[0] * (s); \ |
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| 278 | (v)[1] += (u)[1] * (s); \ |
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| 279 | (v)[2] += (u)[2] * (s); \ |
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| 280 | } |
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| 281 | |
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| 282 | #define ADDMULVS2(v,u,s,w,r) /* 2 times MUL V by S, ADD to vect */ \ |
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| 283 | { \ |
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| 284 | (v)[0] += (u)[0] * (s) + (w)[0] * (r); \ |
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| 285 | (v)[1] += (u)[1] * (s) + (w)[1] * (r); \ |
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| 286 | (v)[2] += (u)[2] * (s) + (w)[2] * (r); \ |
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| 287 | } |
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| 288 | |
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| 289 | #endif |
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| 290 | |
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| 291 | /* |
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| 292 | * Misc. impure operations. |
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| 293 | */ |
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| 294 | |
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| 295 | #define SETVS(v,s) /* SET Vector to Scalar */ \ |
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| 296 | { \ |
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| 297 | int _i; \ |
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| 298 | for (_i = 0; _i < NDIM; _i++) \ |
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| 299 | (v)[_i] = (s); \ |
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| 300 | } |
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| 301 | |
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| 302 | #define ADDVS(v,u,s) /* ADD Vector and Scalar */ \ |
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| 303 | { \ |
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| 304 | int _i; \ |
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| 305 | for (_i = 0; _i < NDIM; _i++) \ |
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| 306 | (v)[_i] = (u)[_i] + (s); \ |
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| 307 | } |
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| 308 | |
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| 309 | #define SETMS(p,s) /* SET Matrix to Scalar */ \ |
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| 310 | { \ |
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| 311 | int _i, _j; \ |
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| 312 | for (_i = 0; _i < NDIM; _i++) \ |
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| 313 | for (_j = 0; _j < NDIM; _j++) \ |
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| 314 | (p)[_i][_j] = (s); \ |
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| 315 | } |
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| 316 | |
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| 317 | #endif /* ! _vectmath_h */ |
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