[431c9e0] | 1 | /* airy.c |
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| 2 | * |
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| 3 | * Airy function |
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| 4 | * |
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| 5 | * |
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| 6 | * |
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| 7 | * SYNOPSIS: |
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| 8 | * |
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| 9 | * double x, ai, aip, bi, bip; |
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| 10 | * int airy(); |
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| 11 | * |
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| 12 | * airy( x, _&ai, _&aip, _&bi, _&bip ); |
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| 13 | * |
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| 14 | * |
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| 15 | * |
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| 16 | * DESCRIPTION: |
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| 17 | * |
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| 18 | * Solution of the differential equation |
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| 19 | * |
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| 20 | * y"(x) = xy. |
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| 21 | * |
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| 22 | * The function returns the two independent solutions Ai, Bi |
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| 23 | * and their first derivatives Ai'(x), Bi'(x). |
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| 24 | * |
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| 25 | * Evaluation is by power series summation for small x, |
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| 26 | * by rational minimax approximations for large x. |
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| 27 | * |
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| 28 | * |
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| 29 | * |
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| 30 | * ACCURACY: |
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| 31 | * Error criterion is absolute when function <= 1, relative |
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| 32 | * when function > 1, except * denotes relative error criterion. |
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| 33 | * For large negative x, the absolute error increases as x^1.5. |
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| 34 | * For large positive x, the relative error increases as x^1.5. |
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| 35 | * |
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| 36 | * Arithmetic domain function # trials peak rms |
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| 37 | * IEEE -10, 0 Ai 10000 1.6e-15 2.7e-16 |
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| 38 | * IEEE 0, 10 Ai 10000 2.3e-14* 1.8e-15* |
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| 39 | * IEEE -10, 0 Ai' 10000 4.6e-15 7.6e-16 |
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| 40 | * IEEE 0, 10 Ai' 10000 1.8e-14* 1.5e-15* |
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| 41 | * IEEE -10, 10 Bi 30000 4.2e-15 5.3e-16 |
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| 42 | * IEEE -10, 10 Bi' 30000 4.9e-15 7.3e-16 |
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| 43 | * DEC -10, 0 Ai 5000 1.7e-16 2.8e-17 |
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| 44 | * DEC 0, 10 Ai 5000 2.1e-15* 1.7e-16* |
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| 45 | * DEC -10, 0 Ai' 5000 4.7e-16 7.8e-17 |
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| 46 | * DEC 0, 10 Ai' 12000 1.8e-15* 1.5e-16* |
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| 47 | * DEC -10, 10 Bi 10000 5.5e-16 6.8e-17 |
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| 48 | * DEC -10, 10 Bi' 7000 5.3e-16 8.7e-17 |
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| 49 | * |
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| 50 | */ |
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| 51 | /* airy.c */ |
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| 52 | |
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| 53 | /* |
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| 54 | Cephes Math Library Release 2.8: June, 2000 |
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| 55 | Copyright 1984, 1987, 1989, 2000 by Stephen L. Moshier |
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| 56 | */ |
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| 57 | |
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| 58 | #include "mconf.h" |
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| 59 | |
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| 60 | static double c1 = 0.35502805388781723926; |
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| 61 | static double c2 = 0.258819403792806798405; |
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| 62 | static double sqrt3 = 1.732050807568877293527; |
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| 63 | static double sqpii = 5.64189583547756286948E-1; |
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| 64 | extern double PI; |
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| 65 | |
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| 66 | extern double MAXNUM, MACHEP; |
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| 67 | #ifdef UNK |
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| 68 | #define MAXAIRY 25.77 |
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| 69 | #endif |
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| 70 | #ifdef DEC |
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| 71 | #define MAXAIRY 25.77 |
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| 72 | #endif |
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| 73 | #ifdef IBMPC |
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| 74 | #define MAXAIRY 103.892 |
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| 75 | #endif |
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| 76 | #ifdef MIEEE |
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| 77 | #define MAXAIRY 103.892 |
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| 78 | #endif |
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| 79 | |
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| 80 | |
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| 81 | #ifdef UNK |
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| 82 | static double AN[8] = { |
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| 83 | 3.46538101525629032477E-1, |
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| 84 | 1.20075952739645805542E1, |
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| 85 | 7.62796053615234516538E1, |
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| 86 | 1.68089224934630576269E2, |
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| 87 | 1.59756391350164413639E2, |
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| 88 | 7.05360906840444183113E1, |
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| 89 | 1.40264691163389668864E1, |
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| 90 | 9.99999999999999995305E-1, |
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| 91 | }; |
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| 92 | static double AD[8] = { |
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| 93 | 5.67594532638770212846E-1, |
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| 94 | 1.47562562584847203173E1, |
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| 95 | 8.45138970141474626562E1, |
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| 96 | 1.77318088145400459522E2, |
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| 97 | 1.64234692871529701831E2, |
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| 98 | 7.14778400825575695274E1, |
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| 99 | 1.40959135607834029598E1, |
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| 100 | 1.00000000000000000470E0, |
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| 101 | }; |
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| 102 | #endif |
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| 103 | #ifdef DEC |
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| 104 | static unsigned short AN[32] = { |
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| 105 | 0037661,0066561,0024675,0131301, |
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| 106 | 0041100,0017434,0034324,0101466, |
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| 107 | 0041630,0107450,0067427,0007430, |
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| 108 | 0042050,0013327,0071000,0034737, |
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| 109 | 0042037,0140642,0156417,0167366, |
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| 110 | 0041615,0011172,0075147,0051165, |
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| 111 | 0041140,0066152,0160520,0075146, |
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| 112 | 0040200,0000000,0000000,0000000, |
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| 113 | }; |
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| 114 | static unsigned short AD[32] = { |
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| 115 | 0040021,0046740,0011422,0064606, |
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| 116 | 0041154,0014640,0024631,0062450, |
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| 117 | 0041651,0003435,0101152,0106401, |
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| 118 | 0042061,0050556,0034605,0136602, |
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| 119 | 0042044,0036024,0152377,0151414, |
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| 120 | 0041616,0172247,0072216,0115374, |
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| 121 | 0041141,0104334,0124154,0166007, |
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| 122 | 0040200,0000000,0000000,0000000, |
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| 123 | }; |
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| 124 | #endif |
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| 125 | #ifdef IBMPC |
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| 126 | static unsigned short AN[32] = { |
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| 127 | 0xb658,0x2537,0x2dae,0x3fd6, |
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| 128 | 0x9067,0x871a,0x03e3,0x4028, |
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| 129 | 0xe1e3,0x0de2,0x11e5,0x4053, |
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| 130 | 0x073c,0xee40,0x02da,0x4065, |
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| 131 | 0xfddf,0x5ba1,0xf834,0x4063, |
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| 132 | 0xea4f,0x4f4c,0xa24f,0x4051, |
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| 133 | 0x0f4d,0x5c2a,0x0d8d,0x402c, |
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| 134 | 0x0000,0x0000,0x0000,0x3ff0, |
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| 135 | }; |
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| 136 | static unsigned short AD[32] = { |
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| 137 | 0x4d31,0x0262,0x29bc,0x3fe2, |
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| 138 | 0x2ca5,0x0533,0x8334,0x402d, |
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| 139 | 0x51a0,0xb04d,0x20e3,0x4055, |
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| 140 | 0xb7b0,0xc730,0x2a2d,0x4066, |
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| 141 | 0xfa61,0x9a9f,0x8782,0x4064, |
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| 142 | 0xd35f,0xee91,0xde94,0x4051, |
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| 143 | 0x9d81,0x950d,0x311b,0x402c, |
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| 144 | 0x0000,0x0000,0x0000,0x3ff0, |
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| 145 | }; |
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| 146 | #endif |
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| 147 | #ifdef MIEEE |
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| 148 | static unsigned short AN[32] = { |
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| 149 | 0x3fd6,0x2dae,0x2537,0xb658, |
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| 150 | 0x4028,0x03e3,0x871a,0x9067, |
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| 151 | 0x4053,0x11e5,0x0de2,0xe1e3, |
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| 152 | 0x4065,0x02da,0xee40,0x073c, |
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| 153 | 0x4063,0xf834,0x5ba1,0xfddf, |
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| 154 | 0x4051,0xa24f,0x4f4c,0xea4f, |
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| 155 | 0x402c,0x0d8d,0x5c2a,0x0f4d, |
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| 156 | 0x3ff0,0x0000,0x0000,0x0000, |
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| 157 | }; |
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| 158 | static unsigned short AD[32] = { |
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| 159 | 0x3fe2,0x29bc,0x0262,0x4d31, |
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| 160 | 0x402d,0x8334,0x0533,0x2ca5, |
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| 161 | 0x4055,0x20e3,0xb04d,0x51a0, |
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| 162 | 0x4066,0x2a2d,0xc730,0xb7b0, |
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| 163 | 0x4064,0x8782,0x9a9f,0xfa61, |
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| 164 | 0x4051,0xde94,0xee91,0xd35f, |
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| 165 | 0x402c,0x311b,0x950d,0x9d81, |
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| 166 | 0x3ff0,0x0000,0x0000,0x0000, |
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| 167 | }; |
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| 168 | #endif |
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| 169 | |
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| 170 | #ifdef UNK |
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| 171 | static double APN[8] = { |
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| 172 | 6.13759184814035759225E-1, |
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| 173 | 1.47454670787755323881E1, |
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| 174 | 8.20584123476060982430E1, |
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| 175 | 1.71184781360976385540E2, |
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| 176 | 1.59317847137141783523E2, |
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| 177 | 6.99778599330103016170E1, |
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| 178 | 1.39470856980481566958E1, |
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| 179 | 1.00000000000000000550E0, |
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| 180 | }; |
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| 181 | static double APD[8] = { |
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| 182 | 3.34203677749736953049E-1, |
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| 183 | 1.11810297306158156705E1, |
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| 184 | 7.11727352147859965283E1, |
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| 185 | 1.58778084372838313640E2, |
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| 186 | 1.53206427475809220834E2, |
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| 187 | 6.86752304592780337944E1, |
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| 188 | 1.38498634758259442477E1, |
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| 189 | 9.99999999999999994502E-1, |
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| 190 | }; |
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| 191 | #endif |
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| 192 | #ifdef DEC |
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| 193 | static unsigned short APN[32] = { |
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| 194 | 0040035,0017522,0065145,0054755, |
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| 195 | 0041153,0166556,0161471,0057174, |
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| 196 | 0041644,0016750,0034445,0046462, |
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| 197 | 0042053,0027515,0152316,0046717, |
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| 198 | 0042037,0050536,0067023,0023264, |
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| 199 | 0041613,0172252,0007240,0131055, |
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| 200 | 0041137,0023503,0052472,0002305, |
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| 201 | 0040200,0000000,0000000,0000000, |
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| 202 | }; |
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| 203 | static unsigned short APD[32] = { |
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| 204 | 0037653,0016276,0112106,0126625, |
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| 205 | 0041062,0162577,0067111,0111761, |
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| 206 | 0041616,0054160,0140004,0137455, |
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| 207 | 0042036,0143460,0104626,0157206, |
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| 208 | 0042031,0032330,0067131,0114260, |
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| 209 | 0041611,0054667,0147207,0134564, |
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| 210 | 0041135,0114412,0070653,0146015, |
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| 211 | 0040200,0000000,0000000,0000000, |
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| 212 | }; |
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| 213 | #endif |
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| 214 | #ifdef IBMPC |
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| 215 | static unsigned short APN[32] = { |
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| 216 | 0xab3e,0x4d4c,0xa3ea,0x3fe3, |
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| 217 | 0x2bcf,0xdc67,0x7dad,0x402d, |
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| 218 | 0xa9a6,0x0724,0x83bd,0x4054, |
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| 219 | 0xc9ba,0xba99,0x65e9,0x4065, |
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| 220 | 0x64d7,0xcdc2,0xea2b,0x4063, |
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| 221 | 0x1646,0x41d4,0x7e95,0x4051, |
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| 222 | 0x4099,0x6aa7,0xe4e8,0x402b, |
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| 223 | 0x0000,0x0000,0x0000,0x3ff0, |
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| 224 | }; |
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| 225 | static unsigned short APD[32] = { |
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| 226 | 0xd5b3,0xd288,0x6397,0x3fd5, |
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| 227 | 0x327e,0xedc9,0x5caf,0x4026, |
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| 228 | 0x97e6,0x1800,0xcb0e,0x4051, |
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| 229 | 0xdbd1,0x1132,0xd8e6,0x4063, |
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| 230 | 0x3316,0x0dcb,0x269b,0x4063, |
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| 231 | 0xf72f,0xf9d0,0x2b36,0x4051, |
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| 232 | 0x7982,0x4e35,0xb321,0x402b, |
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| 233 | 0x0000,0x0000,0x0000,0x3ff0, |
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| 234 | }; |
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| 235 | #endif |
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| 236 | #ifdef MIEEE |
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| 237 | static unsigned short APN[32] = { |
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| 238 | 0x3fe3,0xa3ea,0x4d4c,0xab3e, |
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| 239 | 0x402d,0x7dad,0xdc67,0x2bcf, |
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| 240 | 0x4054,0x83bd,0x0724,0xa9a6, |
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| 241 | 0x4065,0x65e9,0xba99,0xc9ba, |
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| 242 | 0x4063,0xea2b,0xcdc2,0x64d7, |
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| 243 | 0x4051,0x7e95,0x41d4,0x1646, |
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| 244 | 0x402b,0xe4e8,0x6aa7,0x4099, |
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| 245 | 0x3ff0,0x0000,0x0000,0x0000, |
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| 246 | }; |
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| 247 | static unsigned short APD[32] = { |
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| 248 | 0x3fd5,0x6397,0xd288,0xd5b3, |
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| 249 | 0x4026,0x5caf,0xedc9,0x327e, |
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| 250 | 0x4051,0xcb0e,0x1800,0x97e6, |
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| 251 | 0x4063,0xd8e6,0x1132,0xdbd1, |
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| 252 | 0x4063,0x269b,0x0dcb,0x3316, |
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| 253 | 0x4051,0x2b36,0xf9d0,0xf72f, |
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| 254 | 0x402b,0xb321,0x4e35,0x7982, |
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| 255 | 0x3ff0,0x0000,0x0000,0x0000, |
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| 256 | }; |
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| 257 | #endif |
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| 258 | |
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| 259 | #ifdef UNK |
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| 260 | static double BN16[5] = { |
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| 261 | -2.53240795869364152689E-1, |
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| 262 | 5.75285167332467384228E-1, |
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| 263 | -3.29907036873225371650E-1, |
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| 264 | 6.44404068948199951727E-2, |
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| 265 | -3.82519546641336734394E-3, |
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| 266 | }; |
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| 267 | static double BD16[5] = { |
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| 268 | /* 1.00000000000000000000E0,*/ |
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| 269 | -7.15685095054035237902E0, |
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| 270 | 1.06039580715664694291E1, |
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| 271 | -5.23246636471251500874E0, |
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| 272 | 9.57395864378383833152E-1, |
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| 273 | -5.50828147163549611107E-2, |
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| 274 | }; |
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| 275 | #endif |
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| 276 | #ifdef DEC |
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| 277 | static unsigned short BN16[20] = { |
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| 278 | 0137601,0124307,0010213,0035210, |
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| 279 | 0040023,0042743,0101621,0016031, |
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| 280 | 0137650,0164623,0036056,0074511, |
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| 281 | 0037203,0174525,0000473,0142474, |
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| 282 | 0136172,0130041,0066726,0064324, |
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| 283 | }; |
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| 284 | static unsigned short BD16[20] = { |
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| 285 | /*0040200,0000000,0000000,0000000,*/ |
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| 286 | 0140745,0002354,0044335,0055276, |
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| 287 | 0041051,0124717,0170130,0104013, |
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| 288 | 0140647,0070135,0046473,0103501, |
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| 289 | 0040165,0013745,0033324,0127766, |
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| 290 | 0137141,0117204,0076164,0033107, |
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| 291 | }; |
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| 292 | #endif |
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| 293 | #ifdef IBMPC |
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| 294 | static unsigned short BN16[20] = { |
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| 295 | 0x6751,0xe211,0x3518,0xbfd0, |
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| 296 | 0x2383,0x7072,0x68bc,0x3fe2, |
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| 297 | 0xcf29,0x6785,0x1d32,0xbfd5, |
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| 298 | 0x78a8,0xa027,0x7f2a,0x3fb0, |
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| 299 | 0xcd1b,0x2dba,0x5604,0xbf6f, |
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| 300 | }; |
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| 301 | static unsigned short BD16[20] = { |
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| 302 | /*0x0000,0x0000,0x0000,0x3ff0,*/ |
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| 303 | 0xab58,0x891b,0xa09d,0xc01c, |
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| 304 | 0x1101,0xfe0b,0x3539,0x4025, |
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| 305 | 0x70e8,0xa9a7,0xee0b,0xc014, |
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| 306 | 0x95ff,0xa6da,0xa2fc,0x3fee, |
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| 307 | 0x86c9,0x8f8e,0x33d0,0xbfac, |
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| 308 | }; |
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| 309 | #endif |
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| 310 | #ifdef MIEEE |
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| 311 | static unsigned short BN16[20] = { |
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| 312 | 0xbfd0,0x3518,0xe211,0x6751, |
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| 313 | 0x3fe2,0x68bc,0x7072,0x2383, |
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| 314 | 0xbfd5,0x1d32,0x6785,0xcf29, |
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| 315 | 0x3fb0,0x7f2a,0xa027,0x78a8, |
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| 316 | 0xbf6f,0x5604,0x2dba,0xcd1b, |
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| 317 | }; |
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| 318 | static unsigned short BD16[20] = { |
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| 319 | /*0x3ff0,0x0000,0x0000,0x0000,*/ |
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| 320 | 0xc01c,0xa09d,0x891b,0xab58, |
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| 321 | 0x4025,0x3539,0xfe0b,0x1101, |
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| 322 | 0xc014,0xee0b,0xa9a7,0x70e8, |
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| 323 | 0x3fee,0xa2fc,0xa6da,0x95ff, |
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| 324 | 0xbfac,0x33d0,0x8f8e,0x86c9, |
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| 325 | }; |
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| 326 | #endif |
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| 327 | |
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| 328 | #ifdef UNK |
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| 329 | static double BPPN[5] = { |
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| 330 | 4.65461162774651610328E-1, |
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| 331 | -1.08992173800493920734E0, |
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| 332 | 6.38800117371827987759E-1, |
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| 333 | -1.26844349553102907034E-1, |
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| 334 | 7.62487844342109852105E-3, |
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| 335 | }; |
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| 336 | static double BPPD[5] = { |
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| 337 | /* 1.00000000000000000000E0,*/ |
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| 338 | -8.70622787633159124240E0, |
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| 339 | 1.38993162704553213172E1, |
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| 340 | -7.14116144616431159572E0, |
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| 341 | 1.34008595960680518666E0, |
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| 342 | -7.84273211323341930448E-2, |
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| 343 | }; |
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| 344 | #endif |
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| 345 | #ifdef DEC |
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| 346 | static unsigned short BPPN[20] = { |
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| 347 | 0037756,0050354,0167531,0135731, |
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| 348 | 0140213,0101216,0032767,0020375, |
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| 349 | 0040043,0104147,0106312,0177632, |
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| 350 | 0137401,0161574,0032015,0043714, |
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| 351 | 0036371,0155035,0143165,0142262, |
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| 352 | }; |
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| 353 | static unsigned short BPPD[20] = { |
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| 354 | /*0040200,0000000,0000000,0000000,*/ |
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| 355 | 0141013,0046265,0115005,0161053, |
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| 356 | 0041136,0061631,0072445,0156131, |
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| 357 | 0140744,0102145,0001127,0065304, |
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| 358 | 0040253,0103757,0146453,0102513, |
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| 359 | 0137240,0117200,0155402,0113500, |
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| 360 | }; |
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| 361 | #endif |
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| 362 | #ifdef IBMPC |
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| 363 | static unsigned short BPPN[20] = { |
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| 364 | 0x377b,0x9deb,0xca1d,0x3fdd, |
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| 365 | 0xe420,0xc6be,0x7051,0xbff1, |
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| 366 | 0x5ff3,0xf199,0x710c,0x3fe4, |
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| 367 | 0xa8fa,0x8681,0x3c6f,0xbfc0, |
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| 368 | 0xb896,0xb8ce,0x3b43,0x3f7f, |
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| 369 | }; |
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| 370 | static unsigned short BPPD[20] = { |
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| 371 | /*0x0000,0x0000,0x0000,0x3ff0,*/ |
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| 372 | 0xbc45,0xb340,0x6996,0xc021, |
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| 373 | 0xbb8b,0x2ea4,0xcc73,0x402b, |
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| 374 | 0xed59,0xa04a,0x908c,0xc01c, |
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| 375 | 0x70a9,0xf9a5,0x70fd,0x3ff5, |
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| 376 | 0x52e8,0x1b60,0x13d0,0xbfb4, |
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| 377 | }; |
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| 378 | #endif |
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| 379 | #ifdef MIEEE |
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| 380 | static unsigned short BPPN[20] = { |
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| 381 | 0x3fdd,0xca1d,0x9deb,0x377b, |
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| 382 | 0xbff1,0x7051,0xc6be,0xe420, |
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| 383 | 0x3fe4,0x710c,0xf199,0x5ff3, |
---|
| 384 | 0xbfc0,0x3c6f,0x8681,0xa8fa, |
---|
| 385 | 0x3f7f,0x3b43,0xb8ce,0xb896, |
---|
| 386 | }; |
---|
| 387 | static unsigned short BPPD[20] = { |
---|
| 388 | /*0x3ff0,0x0000,0x0000,0x0000,*/ |
---|
| 389 | 0xc021,0x6996,0xb340,0xbc45, |
---|
| 390 | 0x402b,0xcc73,0x2ea4,0xbb8b, |
---|
| 391 | 0xc01c,0x908c,0xa04a,0xed59, |
---|
| 392 | 0x3ff5,0x70fd,0xf9a5,0x70a9, |
---|
| 393 | 0xbfb4,0x13d0,0x1b60,0x52e8, |
---|
| 394 | }; |
---|
| 395 | #endif |
---|
| 396 | |
---|
| 397 | #ifdef UNK |
---|
| 398 | static double AFN[9] = { |
---|
| 399 | -1.31696323418331795333E-1, |
---|
| 400 | -6.26456544431912369773E-1, |
---|
| 401 | -6.93158036036933542233E-1, |
---|
| 402 | -2.79779981545119124951E-1, |
---|
| 403 | -4.91900132609500318020E-2, |
---|
| 404 | -4.06265923594885404393E-3, |
---|
| 405 | -1.59276496239262096340E-4, |
---|
| 406 | -2.77649108155232920844E-6, |
---|
| 407 | -1.67787698489114633780E-8, |
---|
| 408 | }; |
---|
| 409 | static double AFD[9] = { |
---|
| 410 | /* 1.00000000000000000000E0,*/ |
---|
| 411 | 1.33560420706553243746E1, |
---|
| 412 | 3.26825032795224613948E1, |
---|
| 413 | 2.67367040941499554804E1, |
---|
| 414 | 9.18707402907259625840E0, |
---|
| 415 | 1.47529146771666414581E0, |
---|
| 416 | 1.15687173795188044134E-1, |
---|
| 417 | 4.40291641615211203805E-3, |
---|
| 418 | 7.54720348287414296618E-5, |
---|
| 419 | 4.51850092970580378464E-7, |
---|
| 420 | }; |
---|
| 421 | #endif |
---|
| 422 | #ifdef DEC |
---|
| 423 | static unsigned short AFN[36] = { |
---|
| 424 | 0137406,0155546,0124127,0033732, |
---|
| 425 | 0140040,0057564,0141263,0041222, |
---|
| 426 | 0140061,0071316,0013674,0175754, |
---|
| 427 | 0137617,0037522,0056637,0120130, |
---|
| 428 | 0137111,0075567,0121755,0166122, |
---|
| 429 | 0136205,0020016,0043317,0002201, |
---|
| 430 | 0135047,0001565,0075130,0002334, |
---|
| 431 | 0133472,0051700,0165021,0131551, |
---|
| 432 | 0131620,0020347,0132165,0013215, |
---|
| 433 | }; |
---|
| 434 | static unsigned short AFD[36] = { |
---|
| 435 | /*0040200,0000000,0000000,0000000,*/ |
---|
| 436 | 0041125,0131131,0025627,0067623, |
---|
| 437 | 0041402,0135342,0021703,0154315, |
---|
| 438 | 0041325,0162305,0016671,0120175, |
---|
| 439 | 0041022,0177101,0053114,0141632, |
---|
| 440 | 0040274,0153131,0147364,0114306, |
---|
| 441 | 0037354,0166545,0120042,0150530, |
---|
| 442 | 0036220,0043127,0000727,0130273, |
---|
| 443 | 0034636,0043275,0075667,0034733, |
---|
| 444 | 0032762,0112715,0146250,0142474, |
---|
| 445 | }; |
---|
| 446 | #endif |
---|
| 447 | #ifdef IBMPC |
---|
| 448 | static unsigned short AFN[36] = { |
---|
| 449 | 0xe6fb,0xd50a,0xdb6c,0xbfc0, |
---|
| 450 | 0x6852,0x9856,0x0bee,0xbfe4, |
---|
| 451 | 0x9f7d,0xc2f7,0x2e59,0xbfe6, |
---|
| 452 | 0xf40b,0x4bb3,0xe7ea,0xbfd1, |
---|
| 453 | 0xbd8a,0xf47d,0x2f6e,0xbfa9, |
---|
| 454 | 0xe090,0xc8d9,0xa401,0xbf70, |
---|
| 455 | 0x009c,0xaf4b,0xe06e,0xbf24, |
---|
| 456 | 0x366d,0x1d42,0x4a78,0xbec7, |
---|
| 457 | 0xa2d2,0xf68e,0x041c,0xbe52, |
---|
| 458 | }; |
---|
| 459 | static unsigned short AFD[36] = { |
---|
| 460 | /*0x0000,0x0000,0x0000,0x3ff0,*/ |
---|
| 461 | 0xedf2,0x2572,0xb64b,0x402a, |
---|
| 462 | 0x7b1a,0x4478,0x575c,0x4040, |
---|
| 463 | 0x3410,0xa3b7,0xbc98,0x403a, |
---|
| 464 | 0x9873,0x2ac9,0x5fc8,0x4022, |
---|
| 465 | 0x9319,0x39de,0x9acb,0x3ff7, |
---|
| 466 | 0x5a2b,0xb404,0x9dac,0x3fbd, |
---|
| 467 | 0xf617,0xe03a,0x08ca,0x3f72, |
---|
| 468 | 0xe73b,0xaf76,0xc8d7,0x3f13, |
---|
| 469 | 0x18a7,0xb995,0x52b9,0x3e9e, |
---|
| 470 | }; |
---|
| 471 | #endif |
---|
| 472 | #ifdef MIEEE |
---|
| 473 | static unsigned short AFN[36] = { |
---|
| 474 | 0xbfc0,0xdb6c,0xd50a,0xe6fb, |
---|
| 475 | 0xbfe4,0x0bee,0x9856,0x6852, |
---|
| 476 | 0xbfe6,0x2e59,0xc2f7,0x9f7d, |
---|
| 477 | 0xbfd1,0xe7ea,0x4bb3,0xf40b, |
---|
| 478 | 0xbfa9,0x2f6e,0xf47d,0xbd8a, |
---|
| 479 | 0xbf70,0xa401,0xc8d9,0xe090, |
---|
| 480 | 0xbf24,0xe06e,0xaf4b,0x009c, |
---|
| 481 | 0xbec7,0x4a78,0x1d42,0x366d, |
---|
| 482 | 0xbe52,0x041c,0xf68e,0xa2d2, |
---|
| 483 | }; |
---|
| 484 | static unsigned short AFD[36] = { |
---|
| 485 | /*0x3ff0,0x0000,0x0000,0x0000,*/ |
---|
| 486 | 0x402a,0xb64b,0x2572,0xedf2, |
---|
| 487 | 0x4040,0x575c,0x4478,0x7b1a, |
---|
| 488 | 0x403a,0xbc98,0xa3b7,0x3410, |
---|
| 489 | 0x4022,0x5fc8,0x2ac9,0x9873, |
---|
| 490 | 0x3ff7,0x9acb,0x39de,0x9319, |
---|
| 491 | 0x3fbd,0x9dac,0xb404,0x5a2b, |
---|
| 492 | 0x3f72,0x08ca,0xe03a,0xf617, |
---|
| 493 | 0x3f13,0xc8d7,0xaf76,0xe73b, |
---|
| 494 | 0x3e9e,0x52b9,0xb995,0x18a7, |
---|
| 495 | }; |
---|
| 496 | #endif |
---|
| 497 | |
---|
| 498 | #ifdef UNK |
---|
| 499 | static double AGN[11] = { |
---|
| 500 | 1.97339932091685679179E-2, |
---|
| 501 | 3.91103029615688277255E-1, |
---|
| 502 | 1.06579897599595591108E0, |
---|
| 503 | 9.39169229816650230044E-1, |
---|
| 504 | 3.51465656105547619242E-1, |
---|
| 505 | 6.33888919628925490927E-2, |
---|
| 506 | 5.85804113048388458567E-3, |
---|
| 507 | 2.82851600836737019778E-4, |
---|
| 508 | 6.98793669997260967291E-6, |
---|
| 509 | 8.11789239554389293311E-8, |
---|
| 510 | 3.41551784765923618484E-10, |
---|
| 511 | }; |
---|
| 512 | static double AGD[10] = { |
---|
| 513 | /* 1.00000000000000000000E0,*/ |
---|
| 514 | 9.30892908077441974853E0, |
---|
| 515 | 1.98352928718312140417E1, |
---|
| 516 | 1.55646628932864612953E1, |
---|
| 517 | 5.47686069422975497931E0, |
---|
| 518 | 9.54293611618961883998E-1, |
---|
| 519 | 8.64580826352392193095E-2, |
---|
| 520 | 4.12656523824222607191E-3, |
---|
| 521 | 1.01259085116509135510E-4, |
---|
| 522 | 1.17166733214413521882E-6, |
---|
| 523 | 4.91834570062930015649E-9, |
---|
| 524 | }; |
---|
| 525 | #endif |
---|
| 526 | #ifdef DEC |
---|
| 527 | static unsigned short AGN[44] = { |
---|
| 528 | 0036641,0124456,0167175,0157354, |
---|
| 529 | 0037710,0037250,0001441,0136671, |
---|
| 530 | 0040210,0066031,0150401,0123532, |
---|
| 531 | 0040160,0066545,0003570,0153133, |
---|
| 532 | 0037663,0171516,0072507,0170345, |
---|
| 533 | 0037201,0151011,0007510,0045702, |
---|
| 534 | 0036277,0172317,0104572,0101030, |
---|
| 535 | 0035224,0045663,0000160,0136422, |
---|
| 536 | 0033752,0074753,0047702,0135160, |
---|
| 537 | 0032256,0052225,0156550,0107103, |
---|
| 538 | 0030273,0142443,0166277,0071720, |
---|
| 539 | }; |
---|
| 540 | static unsigned short AGD[40] = { |
---|
| 541 | /*0040200,0000000,0000000,0000000,*/ |
---|
| 542 | 0041024,0170537,0117253,0055003, |
---|
| 543 | 0041236,0127256,0003570,0143240, |
---|
| 544 | 0041171,0004333,0172476,0160645, |
---|
| 545 | 0040657,0041161,0055716,0157161, |
---|
| 546 | 0040164,0046226,0006257,0063431, |
---|
| 547 | 0037261,0010357,0065445,0047563, |
---|
| 548 | 0036207,0034043,0057434,0116732, |
---|
| 549 | 0034724,0055416,0130035,0026377, |
---|
| 550 | 0033235,0041056,0154071,0023502, |
---|
| 551 | 0031250,0177071,0167254,0047242, |
---|
| 552 | }; |
---|
| 553 | #endif |
---|
| 554 | #ifdef IBMPC |
---|
| 555 | static unsigned short AGN[44] = { |
---|
| 556 | 0xbbde,0xddcf,0x3525,0x3f94, |
---|
| 557 | 0x37b7,0x0064,0x07d5,0x3fd9, |
---|
| 558 | 0x34eb,0x3a20,0x0d83,0x3ff1, |
---|
| 559 | 0x1acb,0xa0ef,0x0dac,0x3fee, |
---|
| 560 | 0xfe1d,0xcea8,0x7e69,0x3fd6, |
---|
| 561 | 0x0978,0x21e9,0x3a41,0x3fb0, |
---|
| 562 | 0x5043,0xf12f,0xfe99,0x3f77, |
---|
| 563 | 0x17a2,0x600e,0x8976,0x3f32, |
---|
| 564 | 0x574e,0x69f8,0x4f3d,0x3edd, |
---|
| 565 | 0x11c8,0xbbad,0xca92,0x3e75, |
---|
| 566 | 0xee7a,0x7d97,0x78a4,0x3df7, |
---|
| 567 | }; |
---|
| 568 | static unsigned short AGD[40] = { |
---|
| 569 | /*0x0000,0x0000,0x0000,0x3ff0,*/ |
---|
| 570 | 0x6b40,0xf3d5,0x9e2b,0x4022, |
---|
| 571 | 0x18d4,0xc0ef,0xd5d5,0x4033, |
---|
| 572 | 0xdc35,0x7ea7,0x211b,0x402f, |
---|
| 573 | 0xdbce,0x2b79,0xe84e,0x4015, |
---|
| 574 | 0xece3,0xc195,0x8992,0x3fee, |
---|
| 575 | 0xa9ee,0xed64,0x221d,0x3fb6, |
---|
| 576 | 0x93bb,0x6be3,0xe704,0x3f70, |
---|
| 577 | 0xa5a0,0xd603,0x8b61,0x3f1a, |
---|
| 578 | 0x24e8,0xdb07,0xa845,0x3eb3, |
---|
| 579 | 0x89d4,0x3dd5,0x1fc7,0x3e35, |
---|
| 580 | }; |
---|
| 581 | #endif |
---|
| 582 | #ifdef MIEEE |
---|
| 583 | static unsigned short AGN[44] = { |
---|
| 584 | 0x3f94,0x3525,0xddcf,0xbbde, |
---|
| 585 | 0x3fd9,0x07d5,0x0064,0x37b7, |
---|
| 586 | 0x3ff1,0x0d83,0x3a20,0x34eb, |
---|
| 587 | 0x3fee,0x0dac,0xa0ef,0x1acb, |
---|
| 588 | 0x3fd6,0x7e69,0xcea8,0xfe1d, |
---|
| 589 | 0x3fb0,0x3a41,0x21e9,0x0978, |
---|
| 590 | 0x3f77,0xfe99,0xf12f,0x5043, |
---|
| 591 | 0x3f32,0x8976,0x600e,0x17a2, |
---|
| 592 | 0x3edd,0x4f3d,0x69f8,0x574e, |
---|
| 593 | 0x3e75,0xca92,0xbbad,0x11c8, |
---|
| 594 | 0x3df7,0x78a4,0x7d97,0xee7a, |
---|
| 595 | }; |
---|
| 596 | static unsigned short AGD[40] = { |
---|
| 597 | /*0x3ff0,0x0000,0x0000,0x0000,*/ |
---|
| 598 | 0x4022,0x9e2b,0xf3d5,0x6b40, |
---|
| 599 | 0x4033,0xd5d5,0xc0ef,0x18d4, |
---|
| 600 | 0x402f,0x211b,0x7ea7,0xdc35, |
---|
| 601 | 0x4015,0xe84e,0x2b79,0xdbce, |
---|
| 602 | 0x3fee,0x8992,0xc195,0xece3, |
---|
| 603 | 0x3fb6,0x221d,0xed64,0xa9ee, |
---|
| 604 | 0x3f70,0xe704,0x6be3,0x93bb, |
---|
| 605 | 0x3f1a,0x8b61,0xd603,0xa5a0, |
---|
| 606 | 0x3eb3,0xa845,0xdb07,0x24e8, |
---|
| 607 | 0x3e35,0x1fc7,0x3dd5,0x89d4, |
---|
| 608 | }; |
---|
| 609 | #endif |
---|
| 610 | |
---|
| 611 | #ifdef UNK |
---|
| 612 | static double APFN[9] = { |
---|
| 613 | 1.85365624022535566142E-1, |
---|
| 614 | 8.86712188052584095637E-1, |
---|
| 615 | 9.87391981747398547272E-1, |
---|
| 616 | 4.01241082318003734092E-1, |
---|
| 617 | 7.10304926289631174579E-2, |
---|
| 618 | 5.90618657995661810071E-3, |
---|
| 619 | 2.33051409401776799569E-4, |
---|
| 620 | 4.08718778289035454598E-6, |
---|
| 621 | 2.48379932900442457853E-8, |
---|
| 622 | }; |
---|
| 623 | static double APFD[9] = { |
---|
| 624 | /* 1.00000000000000000000E0,*/ |
---|
| 625 | 1.47345854687502542552E1, |
---|
| 626 | 3.75423933435489594466E1, |
---|
| 627 | 3.14657751203046424330E1, |
---|
| 628 | 1.09969125207298778536E1, |
---|
| 629 | 1.78885054766999417817E0, |
---|
| 630 | 1.41733275753662636873E-1, |
---|
| 631 | 5.44066067017226003627E-3, |
---|
| 632 | 9.39421290654511171663E-5, |
---|
| 633 | 5.65978713036027009243E-7, |
---|
| 634 | }; |
---|
| 635 | #endif |
---|
| 636 | #ifdef DEC |
---|
| 637 | static unsigned short APFN[36] = { |
---|
| 638 | 0037475,0150174,0071752,0166651, |
---|
| 639 | 0040142,0177621,0164246,0101757, |
---|
| 640 | 0040174,0142670,0106760,0006573, |
---|
| 641 | 0037715,0067570,0116274,0022404, |
---|
| 642 | 0037221,0074157,0053341,0117207, |
---|
| 643 | 0036301,0104257,0015075,0004777, |
---|
| 644 | 0035164,0057502,0164034,0001313, |
---|
| 645 | 0033611,0022254,0176000,0112565, |
---|
| 646 | 0031725,0055523,0025153,0166057, |
---|
| 647 | }; |
---|
| 648 | static unsigned short APFD[36] = { |
---|
| 649 | /*0040200,0000000,0000000,0000000,*/ |
---|
| 650 | 0041153,0140334,0130506,0061402, |
---|
| 651 | 0041426,0025551,0024440,0070611, |
---|
| 652 | 0041373,0134750,0047147,0176702, |
---|
| 653 | 0041057,0171532,0105430,0017674, |
---|
| 654 | 0040344,0174416,0001726,0047754, |
---|
| 655 | 0037421,0021207,0020167,0136264, |
---|
| 656 | 0036262,0043621,0151321,0124324, |
---|
| 657 | 0034705,0001313,0163733,0016407, |
---|
| 658 | 0033027,0166702,0150440,0170561, |
---|
| 659 | }; |
---|
| 660 | #endif |
---|
| 661 | #ifdef IBMPC |
---|
| 662 | static unsigned short APFN[36] = { |
---|
| 663 | 0x5db5,0x8e7d,0xba0f,0x3fc7, |
---|
| 664 | 0xd07e,0x3d14,0x5ff2,0x3fec, |
---|
| 665 | 0x01af,0x11be,0x98b7,0x3fef, |
---|
| 666 | 0x84a1,0x1397,0xadef,0x3fd9, |
---|
| 667 | 0x33d1,0xeadc,0x2f0d,0x3fb2, |
---|
| 668 | 0xa140,0xe347,0x3115,0x3f78, |
---|
| 669 | 0x8059,0x5d03,0x8be8,0x3f2e, |
---|
| 670 | 0x12af,0x9f80,0x2495,0x3ed1, |
---|
| 671 | 0x7d86,0x654d,0xab6a,0x3e5a, |
---|
| 672 | }; |
---|
| 673 | static unsigned short APFD[36] = { |
---|
| 674 | /*0x0000,0x0000,0x0000,0x3ff0,*/ |
---|
| 675 | 0xcc60,0x9628,0x781b,0x402d, |
---|
| 676 | 0x0e31,0x2524,0xc56d,0x4042, |
---|
| 677 | 0xffb8,0x09cc,0x773d,0x403f, |
---|
| 678 | 0x03f7,0x5163,0xfe6b,0x4025, |
---|
| 679 | 0xc9fd,0xc07a,0x9f21,0x3ffc, |
---|
| 680 | 0xf796,0xe40e,0x2450,0x3fc2, |
---|
| 681 | 0x351a,0x3a5a,0x48f2,0x3f76, |
---|
| 682 | 0x63a1,0x7cfb,0xa059,0x3f18, |
---|
| 683 | 0x1e2e,0x5a24,0xfdb8,0x3ea2, |
---|
| 684 | }; |
---|
| 685 | #endif |
---|
| 686 | #ifdef MIEEE |
---|
| 687 | static unsigned short APFN[36] = { |
---|
| 688 | 0x3fc7,0xba0f,0x8e7d,0x5db5, |
---|
| 689 | 0x3fec,0x5ff2,0x3d14,0xd07e, |
---|
| 690 | 0x3fef,0x98b7,0x11be,0x01af, |
---|
| 691 | 0x3fd9,0xadef,0x1397,0x84a1, |
---|
| 692 | 0x3fb2,0x2f0d,0xeadc,0x33d1, |
---|
| 693 | 0x3f78,0x3115,0xe347,0xa140, |
---|
| 694 | 0x3f2e,0x8be8,0x5d03,0x8059, |
---|
| 695 | 0x3ed1,0x2495,0x9f80,0x12af, |
---|
| 696 | 0x3e5a,0xab6a,0x654d,0x7d86, |
---|
| 697 | }; |
---|
| 698 | static unsigned short APFD[36] = { |
---|
| 699 | /*0x3ff0,0x0000,0x0000,0x0000,*/ |
---|
| 700 | 0x402d,0x781b,0x9628,0xcc60, |
---|
| 701 | 0x4042,0xc56d,0x2524,0x0e31, |
---|
| 702 | 0x403f,0x773d,0x09cc,0xffb8, |
---|
| 703 | 0x4025,0xfe6b,0x5163,0x03f7, |
---|
| 704 | 0x3ffc,0x9f21,0xc07a,0xc9fd, |
---|
| 705 | 0x3fc2,0x2450,0xe40e,0xf796, |
---|
| 706 | 0x3f76,0x48f2,0x3a5a,0x351a, |
---|
| 707 | 0x3f18,0xa059,0x7cfb,0x63a1, |
---|
| 708 | 0x3ea2,0xfdb8,0x5a24,0x1e2e, |
---|
| 709 | }; |
---|
| 710 | #endif |
---|
| 711 | |
---|
| 712 | #ifdef UNK |
---|
| 713 | static double APGN[11] = { |
---|
| 714 | -3.55615429033082288335E-2, |
---|
| 715 | -6.37311518129435504426E-1, |
---|
| 716 | -1.70856738884312371053E0, |
---|
| 717 | -1.50221872117316635393E0, |
---|
| 718 | -5.63606665822102676611E-1, |
---|
| 719 | -1.02101031120216891789E-1, |
---|
| 720 | -9.48396695961445269093E-3, |
---|
| 721 | -4.60325307486780994357E-4, |
---|
| 722 | -1.14300836484517375919E-5, |
---|
| 723 | -1.33415518685547420648E-7, |
---|
| 724 | -5.63803833958893494476E-10, |
---|
| 725 | }; |
---|
| 726 | static double APGD[11] = { |
---|
| 727 | /* 1.00000000000000000000E0,*/ |
---|
| 728 | 9.85865801696130355144E0, |
---|
| 729 | 2.16401867356585941885E1, |
---|
| 730 | 1.73130776389749389525E1, |
---|
| 731 | 6.17872175280828766327E0, |
---|
| 732 | 1.08848694396321495475E0, |
---|
| 733 | 9.95005543440888479402E-2, |
---|
| 734 | 4.78468199683886610842E-3, |
---|
| 735 | 1.18159633322838625562E-4, |
---|
| 736 | 1.37480673554219441465E-6, |
---|
| 737 | 5.79912514929147598821E-9, |
---|
| 738 | }; |
---|
| 739 | #endif |
---|
| 740 | #ifdef DEC |
---|
| 741 | static unsigned short APGN[44] = { |
---|
| 742 | 0137021,0124372,0176075,0075331, |
---|
| 743 | 0140043,0023330,0177672,0161655, |
---|
| 744 | 0140332,0131126,0010413,0171112, |
---|
| 745 | 0140300,0044263,0175560,0054070, |
---|
| 746 | 0140020,0044206,0142603,0073324, |
---|
| 747 | 0137321,0015130,0066144,0144033, |
---|
| 748 | 0136433,0061243,0175542,0103373, |
---|
| 749 | 0135361,0053721,0020441,0053203, |
---|
| 750 | 0134077,0141725,0160277,0130612, |
---|
| 751 | 0132417,0040372,0100363,0060200, |
---|
| 752 | 0130432,0175052,0171064,0034147, |
---|
| 753 | }; |
---|
| 754 | static unsigned short APGD[40] = { |
---|
| 755 | /*0040200,0000000,0000000,0000000,*/ |
---|
| 756 | 0041035,0136420,0030124,0140220, |
---|
| 757 | 0041255,0017432,0034447,0162256, |
---|
| 758 | 0041212,0100456,0154544,0006321, |
---|
| 759 | 0040705,0134026,0127154,0123414, |
---|
| 760 | 0040213,0051612,0044470,0172607, |
---|
| 761 | 0037313,0143362,0053273,0157051, |
---|
| 762 | 0036234,0144322,0054536,0007264, |
---|
| 763 | 0034767,0146170,0054265,0170342, |
---|
| 764 | 0033270,0102777,0167362,0073631, |
---|
| 765 | 0031307,0040644,0167103,0021763, |
---|
| 766 | }; |
---|
| 767 | #endif |
---|
| 768 | #ifdef IBMPC |
---|
| 769 | static unsigned short APGN[44] = { |
---|
| 770 | 0xaf5b,0x5f87,0x351f,0xbfa2, |
---|
| 771 | 0x5c76,0x1ff7,0x64db,0xbfe4, |
---|
| 772 | 0x7e49,0xc221,0x564a,0xbffb, |
---|
| 773 | 0x0b07,0x7f6e,0x0916,0xbff8, |
---|
| 774 | 0x6edb,0xd8b0,0x0910,0xbfe2, |
---|
| 775 | 0x9903,0x0d8c,0x234b,0xbfba, |
---|
| 776 | 0x50df,0x7f6c,0x6c54,0xbf83, |
---|
| 777 | 0x2ad0,0x2424,0x2afa,0xbf3e, |
---|
| 778 | 0xf631,0xbc17,0xf87a,0xbee7, |
---|
| 779 | 0x6c10,0x501e,0xe81f,0xbe81, |
---|
| 780 | 0x870d,0x5e46,0x5f45,0xbe03, |
---|
| 781 | }; |
---|
| 782 | static unsigned short APGD[40] = { |
---|
| 783 | /*0x0000,0x0000,0x0000,0x3ff0,*/ |
---|
| 784 | 0x9812,0x060a,0xb7a2,0x4023, |
---|
| 785 | 0xfc96,0x4724,0xa3e3,0x4035, |
---|
| 786 | 0x819a,0xdb2c,0x5025,0x4031, |
---|
| 787 | 0x94e2,0xd5cd,0xb702,0x4018, |
---|
| 788 | 0x1eb1,0x4927,0x6a71,0x3ff1, |
---|
| 789 | 0x7bc5,0x4ad7,0x78de,0x3fb9, |
---|
| 790 | 0xc1d7,0x4b2b,0x991a,0x3f73, |
---|
| 791 | 0xbe1c,0x0b16,0xf98f,0x3f1e, |
---|
| 792 | 0x4ef3,0xfdde,0x10bf,0x3eb7, |
---|
| 793 | 0x647e,0x9dc8,0xe834,0x3e38, |
---|
| 794 | }; |
---|
| 795 | #endif |
---|
| 796 | #ifdef MIEEE |
---|
| 797 | static unsigned short APGN[44] = { |
---|
| 798 | 0xbfa2,0x351f,0x5f87,0xaf5b, |
---|
| 799 | 0xbfe4,0x64db,0x1ff7,0x5c76, |
---|
| 800 | 0xbffb,0x564a,0xc221,0x7e49, |
---|
| 801 | 0xbff8,0x0916,0x7f6e,0x0b07, |
---|
| 802 | 0xbfe2,0x0910,0xd8b0,0x6edb, |
---|
| 803 | 0xbfba,0x234b,0x0d8c,0x9903, |
---|
| 804 | 0xbf83,0x6c54,0x7f6c,0x50df, |
---|
| 805 | 0xbf3e,0x2afa,0x2424,0x2ad0, |
---|
| 806 | 0xbee7,0xf87a,0xbc17,0xf631, |
---|
| 807 | 0xbe81,0xe81f,0x501e,0x6c10, |
---|
| 808 | 0xbe03,0x5f45,0x5e46,0x870d, |
---|
| 809 | }; |
---|
| 810 | static unsigned short APGD[40] = { |
---|
| 811 | /*0x3ff0,0x0000,0x0000,0x0000,*/ |
---|
| 812 | 0x4023,0xb7a2,0x060a,0x9812, |
---|
| 813 | 0x4035,0xa3e3,0x4724,0xfc96, |
---|
| 814 | 0x4031,0x5025,0xdb2c,0x819a, |
---|
| 815 | 0x4018,0xb702,0xd5cd,0x94e2, |
---|
| 816 | 0x3ff1,0x6a71,0x4927,0x1eb1, |
---|
| 817 | 0x3fb9,0x78de,0x4ad7,0x7bc5, |
---|
| 818 | 0x3f73,0x991a,0x4b2b,0xc1d7, |
---|
| 819 | 0x3f1e,0xf98f,0x0b16,0xbe1c, |
---|
| 820 | 0x3eb7,0x10bf,0xfdde,0x4ef3, |
---|
| 821 | 0x3e38,0xe834,0x9dc8,0x647e, |
---|
| 822 | }; |
---|
| 823 | #endif |
---|
| 824 | |
---|
| 825 | #ifdef ANSIPROT |
---|
| 826 | extern double fabs ( double ); |
---|
| 827 | extern double exp ( double ); |
---|
| 828 | extern double sqrt ( double ); |
---|
| 829 | extern double polevl ( double, void *, int ); |
---|
| 830 | extern double p1evl ( double, void *, int ); |
---|
| 831 | extern double sin ( double ); |
---|
| 832 | extern double cos ( double ); |
---|
| 833 | #else |
---|
| 834 | double fabs(), exp(), sqrt(); |
---|
| 835 | double polevl(), p1evl(), sin(), cos(); |
---|
| 836 | #endif |
---|
| 837 | |
---|
| 838 | int airy( x, ai, aip, bi, bip ) |
---|
| 839 | double x, *ai, *aip, *bi, *bip; |
---|
| 840 | { |
---|
| 841 | double z, zz, t, f, g, uf, ug, k, zeta, theta; |
---|
| 842 | int domflg; |
---|
| 843 | |
---|
| 844 | domflg = 0; |
---|
| 845 | if( x > MAXAIRY ) |
---|
| 846 | { |
---|
| 847 | *ai = 0; |
---|
| 848 | *aip = 0; |
---|
| 849 | *bi = MAXNUM; |
---|
| 850 | *bip = MAXNUM; |
---|
| 851 | return(-1); |
---|
| 852 | } |
---|
| 853 | |
---|
| 854 | if( x < -2.09 ) |
---|
| 855 | { |
---|
| 856 | domflg = 15; |
---|
| 857 | t = sqrt(-x); |
---|
| 858 | zeta = -2.0 * x * t / 3.0; |
---|
| 859 | t = sqrt(t); |
---|
| 860 | k = sqpii / t; |
---|
| 861 | z = 1.0/zeta; |
---|
| 862 | zz = z * z; |
---|
| 863 | uf = 1.0 + zz * polevl( zz, AFN, 8 ) / p1evl( zz, AFD, 9 ); |
---|
| 864 | ug = z * polevl( zz, AGN, 10 ) / p1evl( zz, AGD, 10 ); |
---|
| 865 | theta = zeta + 0.25 * PI; |
---|
| 866 | f = sin( theta ); |
---|
| 867 | g = cos( theta ); |
---|
| 868 | *ai = k * (f * uf - g * ug); |
---|
| 869 | *bi = k * (g * uf + f * ug); |
---|
| 870 | uf = 1.0 + zz * polevl( zz, APFN, 8 ) / p1evl( zz, APFD, 9 ); |
---|
| 871 | ug = z * polevl( zz, APGN, 10 ) / p1evl( zz, APGD, 10 ); |
---|
| 872 | k = sqpii * t; |
---|
| 873 | *aip = -k * (g * uf + f * ug); |
---|
| 874 | *bip = k * (f * uf - g * ug); |
---|
| 875 | return(0); |
---|
| 876 | } |
---|
| 877 | |
---|
| 878 | if( x >= 2.09 ) /* cbrt(9) */ |
---|
| 879 | { |
---|
| 880 | domflg = 5; |
---|
| 881 | t = sqrt(x); |
---|
| 882 | zeta = 2.0 * x * t / 3.0; |
---|
| 883 | g = exp( zeta ); |
---|
| 884 | t = sqrt(t); |
---|
| 885 | k = 2.0 * t * g; |
---|
| 886 | z = 1.0/zeta; |
---|
| 887 | f = polevl( z, AN, 7 ) / polevl( z, AD, 7 ); |
---|
| 888 | *ai = sqpii * f / k; |
---|
| 889 | k = -0.5 * sqpii * t / g; |
---|
| 890 | f = polevl( z, APN, 7 ) / polevl( z, APD, 7 ); |
---|
| 891 | *aip = f * k; |
---|
| 892 | |
---|
| 893 | if( x > 8.3203353 ) /* zeta > 16 */ |
---|
| 894 | { |
---|
| 895 | f = z * polevl( z, BN16, 4 ) / p1evl( z, BD16, 5 ); |
---|
| 896 | k = sqpii * g; |
---|
| 897 | *bi = k * (1.0 + f) / t; |
---|
| 898 | f = z * polevl( z, BPPN, 4 ) / p1evl( z, BPPD, 5 ); |
---|
| 899 | *bip = k * t * (1.0 + f); |
---|
| 900 | return(0); |
---|
| 901 | } |
---|
| 902 | } |
---|
| 903 | |
---|
| 904 | f = 1.0; |
---|
| 905 | g = x; |
---|
| 906 | t = 1.0; |
---|
| 907 | uf = 1.0; |
---|
| 908 | ug = x; |
---|
| 909 | k = 1.0; |
---|
| 910 | z = x * x * x; |
---|
| 911 | while( t > MACHEP ) |
---|
| 912 | { |
---|
| 913 | uf *= z; |
---|
| 914 | k += 1.0; |
---|
| 915 | uf /=k; |
---|
| 916 | ug *= z; |
---|
| 917 | k += 1.0; |
---|
| 918 | ug /=k; |
---|
| 919 | uf /=k; |
---|
| 920 | f += uf; |
---|
| 921 | k += 1.0; |
---|
| 922 | ug /=k; |
---|
| 923 | g += ug; |
---|
| 924 | t = fabs(uf/f); |
---|
| 925 | } |
---|
| 926 | uf = c1 * f; |
---|
| 927 | ug = c2 * g; |
---|
| 928 | if( (domflg & 1) == 0 ) |
---|
| 929 | *ai = uf - ug; |
---|
| 930 | if( (domflg & 2) == 0 ) |
---|
| 931 | *bi = sqrt3 * (uf + ug); |
---|
| 932 | |
---|
| 933 | /* the deriviative of ai */ |
---|
| 934 | k = 4.0; |
---|
| 935 | uf = x * x/2.0; |
---|
| 936 | ug = z/3.0; |
---|
| 937 | f = uf; |
---|
| 938 | g = 1.0 + ug; |
---|
| 939 | uf /= 3.0; |
---|
| 940 | t = 1.0; |
---|
| 941 | |
---|
| 942 | while( t > MACHEP ) |
---|
| 943 | { |
---|
| 944 | uf *= z; |
---|
| 945 | ug /=k; |
---|
| 946 | k += 1.0; |
---|
| 947 | ug *= z; |
---|
| 948 | uf /=k; |
---|
| 949 | f += uf; |
---|
| 950 | k += 1.0; |
---|
| 951 | ug /=k; |
---|
| 952 | uf /=k; |
---|
| 953 | g += ug; |
---|
| 954 | k += 1.0; |
---|
| 955 | t = fabs(ug/g); |
---|
| 956 | } |
---|
| 957 | |
---|
| 958 | uf = c1 * f; |
---|
| 959 | ug = c2 * g; |
---|
| 960 | if( (domflg & 4) == 0 ) |
---|
| 961 | *aip = uf - ug; |
---|
| 962 | if( (domflg & 8) == 0 ) |
---|
| 963 | *bip = sqrt3 * (uf + ug); |
---|
| 964 | return(0); |
---|
| 965 | } |
---|