Totally rework the math library, this time based on the MacOs X

math library (which is itself based on the math lib from FreeBSD).
 -Erik

1 files changed, 0 insertions, 965 deletions

diff --git a/libm/double/airy.c b/libm/double/airy.c
deleted file mode 100644
index 91e29088a..000000000
--- a/libm/double/airy.c
+++ /dev/null
@@ -1,965 +0,0 @@
-/*							airy.c
- *
- *	Airy function
- *
- *
- *
- * SYNOPSIS:
- *
- * double x, ai, aip, bi, bip;
- * int airy();
- *
- * airy( x, _&ai, _&aip, _&bi, _&bip );
- *
- *
- *
- * DESCRIPTION:
- *
- * Solution of the differential equation
- *
- *	y"(x) = xy.
- *
- * The function returns the two independent solutions Ai, Bi
- * and their first derivatives Ai'(x), Bi'(x).
- *
- * Evaluation is by power series summation for small x,
- * by rational minimax approximations for large x.
- *
- *
- *
- * ACCURACY:
- * Error criterion is absolute when function <= 1, relative
- * when function > 1, except * denotes relative error criterion.
- * For large negative x, the absolute error increases as x^1.5.
- * For large positive x, the relative error increases as x^1.5.
- *
- * Arithmetic  domain   function  # trials      peak         rms
- * IEEE        -10, 0     Ai        10000       1.6e-15     2.7e-16
- * IEEE          0, 10    Ai        10000       2.3e-14*    1.8e-15*
- * IEEE        -10, 0     Ai'       10000       4.6e-15     7.6e-16
- * IEEE          0, 10    Ai'       10000       1.8e-14*    1.5e-15*
- * IEEE        -10, 10    Bi        30000       4.2e-15     5.3e-16
- * IEEE        -10, 10    Bi'       30000       4.9e-15     7.3e-16
- * DEC         -10, 0     Ai         5000       1.7e-16     2.8e-17
- * DEC           0, 10    Ai         5000       2.1e-15*    1.7e-16*
- * DEC         -10, 0     Ai'        5000       4.7e-16     7.8e-17
- * DEC           0, 10    Ai'       12000       1.8e-15*    1.5e-16*
- * DEC         -10, 10    Bi        10000       5.5e-16     6.8e-17
- * DEC         -10, 10    Bi'        7000       5.3e-16     8.7e-17
- *
- */
-/*							airy.c */
-
-/*
-Cephes Math Library Release 2.8:  June, 2000
-Copyright 1984, 1987, 1989, 2000 by Stephen L. Moshier
-*/
-
-#include <math.h>
-
-static double c1 = 0.35502805388781723926;
-static double c2 = 0.258819403792806798405;
-static double sqrt3 = 1.732050807568877293527;
-static double sqpii = 5.64189583547756286948E-1;
-extern double PI;
-
-extern double MAXNUM, MACHEP;
-#ifdef UNK
-#define MAXAIRY 25.77
-#endif
-#ifdef DEC
-#define MAXAIRY 25.77
-#endif
-#ifdef IBMPC
-#define MAXAIRY 103.892
-#endif
-#ifdef MIEEE
-#define MAXAIRY 103.892
-#endif
-
-
-#ifdef UNK
-static double AN[8] = {
-  3.46538101525629032477E-1,
-  1.20075952739645805542E1,
-  7.62796053615234516538E1,
-  1.68089224934630576269E2,
-  1.59756391350164413639E2,
-  7.05360906840444183113E1,
-  1.40264691163389668864E1,
-  9.99999999999999995305E-1,
-};
-static double AD[8] = {
-  5.67594532638770212846E-1,
-  1.47562562584847203173E1,
-  8.45138970141474626562E1,
-  1.77318088145400459522E2,
-  1.64234692871529701831E2,
-  7.14778400825575695274E1,
-  1.40959135607834029598E1,
-  1.00000000000000000470E0,
-};
-#endif
-#ifdef DEC
-static unsigned short AN[32] = {
-0037661,0066561,0024675,0131301,
-0041100,0017434,0034324,0101466,
-0041630,0107450,0067427,0007430,
-0042050,0013327,0071000,0034737,
-0042037,0140642,0156417,0167366,
-0041615,0011172,0075147,0051165,
-0041140,0066152,0160520,0075146,
-0040200,0000000,0000000,0000000,
-};
-static unsigned short AD[32] = {
-0040021,0046740,0011422,0064606,
-0041154,0014640,0024631,0062450,
-0041651,0003435,0101152,0106401,
-0042061,0050556,0034605,0136602,
-0042044,0036024,0152377,0151414,
-0041616,0172247,0072216,0115374,
-0041141,0104334,0124154,0166007,
-0040200,0000000,0000000,0000000,
-};
-#endif
-#ifdef IBMPC
-static unsigned short AN[32] = {
-0xb658,0x2537,0x2dae,0x3fd6,
-0x9067,0x871a,0x03e3,0x4028,
-0xe1e3,0x0de2,0x11e5,0x4053,
-0x073c,0xee40,0x02da,0x4065,
-0xfddf,0x5ba1,0xf834,0x4063,
-0xea4f,0x4f4c,0xa24f,0x4051,
-0x0f4d,0x5c2a,0x0d8d,0x402c,
-0x0000,0x0000,0x0000,0x3ff0,
-};
-static unsigned short AD[32] = {
-0x4d31,0x0262,0x29bc,0x3fe2,
-0x2ca5,0x0533,0x8334,0x402d,
-0x51a0,0xb04d,0x20e3,0x4055,
-0xb7b0,0xc730,0x2a2d,0x4066,
-0xfa61,0x9a9f,0x8782,0x4064,
-0xd35f,0xee91,0xde94,0x4051,
-0x9d81,0x950d,0x311b,0x402c,
-0x0000,0x0000,0x0000,0x3ff0,
-};
-#endif
-#ifdef MIEEE
-static unsigned short AN[32] = {
-0x3fd6,0x2dae,0x2537,0xb658,
-0x4028,0x03e3,0x871a,0x9067,
-0x4053,0x11e5,0x0de2,0xe1e3,
-0x4065,0x02da,0xee40,0x073c,
-0x4063,0xf834,0x5ba1,0xfddf,
-0x4051,0xa24f,0x4f4c,0xea4f,
-0x402c,0x0d8d,0x5c2a,0x0f4d,
-0x3ff0,0x0000,0x0000,0x0000,
-};
-static unsigned short AD[32] = {
-0x3fe2,0x29bc,0x0262,0x4d31,
-0x402d,0x8334,0x0533,0x2ca5,
-0x4055,0x20e3,0xb04d,0x51a0,
-0x4066,0x2a2d,0xc730,0xb7b0,
-0x4064,0x8782,0x9a9f,0xfa61,
-0x4051,0xde94,0xee91,0xd35f,
-0x402c,0x311b,0x950d,0x9d81,
-0x3ff0,0x0000,0x0000,0x0000,
-};
-#endif
-
-#ifdef UNK
-static double APN[8] = {
-  6.13759184814035759225E-1,
-  1.47454670787755323881E1,
-  8.20584123476060982430E1,
-  1.71184781360976385540E2,
-  1.59317847137141783523E2,
-  6.99778599330103016170E1,
-  1.39470856980481566958E1,
-  1.00000000000000000550E0,
-};
-static double APD[8] = {
-  3.34203677749736953049E-1,
-  1.11810297306158156705E1,
-  7.11727352147859965283E1,
-  1.58778084372838313640E2,
-  1.53206427475809220834E2,
-  6.86752304592780337944E1,
-  1.38498634758259442477E1,
-  9.99999999999999994502E-1,
-};
-#endif
-#ifdef DEC
-static unsigned short APN[32] = {
-0040035,0017522,0065145,0054755,
-0041153,0166556,0161471,0057174,
-0041644,0016750,0034445,0046462,
-0042053,0027515,0152316,0046717,
-0042037,0050536,0067023,0023264,
-0041613,0172252,0007240,0131055,
-0041137,0023503,0052472,0002305,
-0040200,0000000,0000000,0000000,
-};
-static unsigned short APD[32] = {
-0037653,0016276,0112106,0126625,
-0041062,0162577,0067111,0111761,
-0041616,0054160,0140004,0137455,
-0042036,0143460,0104626,0157206,
-0042031,0032330,0067131,0114260,
-0041611,0054667,0147207,0134564,
-0041135,0114412,0070653,0146015,
-0040200,0000000,0000000,0000000,
-};
-#endif
-#ifdef IBMPC
-static unsigned short APN[32] = {
-0xab3e,0x4d4c,0xa3ea,0x3fe3,
-0x2bcf,0xdc67,0x7dad,0x402d,
-0xa9a6,0x0724,0x83bd,0x4054,
-0xc9ba,0xba99,0x65e9,0x4065,
-0x64d7,0xcdc2,0xea2b,0x4063,
-0x1646,0x41d4,0x7e95,0x4051,
-0x4099,0x6aa7,0xe4e8,0x402b,
-0x0000,0x0000,0x0000,0x3ff0,
-};
-static unsigned short APD[32] = {
-0xd5b3,0xd288,0x6397,0x3fd5,
-0x327e,0xedc9,0x5caf,0x4026,
-0x97e6,0x1800,0xcb0e,0x4051,
-0xdbd1,0x1132,0xd8e6,0x4063,
-0x3316,0x0dcb,0x269b,0x4063,
-0xf72f,0xf9d0,0x2b36,0x4051,
-0x7982,0x4e35,0xb321,0x402b,
-0x0000,0x0000,0x0000,0x3ff0,
-};
-#endif
-#ifdef MIEEE
-static unsigned short APN[32] = {
-0x3fe3,0xa3ea,0x4d4c,0xab3e,
-0x402d,0x7dad,0xdc67,0x2bcf,
-0x4054,0x83bd,0x0724,0xa9a6,
-0x4065,0x65e9,0xba99,0xc9ba,
-0x4063,0xea2b,0xcdc2,0x64d7,
-0x4051,0x7e95,0x41d4,0x1646,
-0x402b,0xe4e8,0x6aa7,0x4099,
-0x3ff0,0x0000,0x0000,0x0000,
-};
-static unsigned short APD[32] = {
-0x3fd5,0x6397,0xd288,0xd5b3,
-0x4026,0x5caf,0xedc9,0x327e,
-0x4051,0xcb0e,0x1800,0x97e6,
-0x4063,0xd8e6,0x1132,0xdbd1,
-0x4063,0x269b,0x0dcb,0x3316,
-0x4051,0x2b36,0xf9d0,0xf72f,
-0x402b,0xb321,0x4e35,0x7982,
-0x3ff0,0x0000,0x0000,0x0000,
-};
-#endif
-
-#ifdef UNK
-static double BN16[5] = {
--2.53240795869364152689E-1,
- 5.75285167332467384228E-1,
--3.29907036873225371650E-1,
- 6.44404068948199951727E-2,
--3.82519546641336734394E-3,
-};
-static double BD16[5] = {
-/* 1.00000000000000000000E0,*/
--7.15685095054035237902E0,
- 1.06039580715664694291E1,
--5.23246636471251500874E0,
- 9.57395864378383833152E-1,
--5.50828147163549611107E-2,
-};
-#endif
-#ifdef DEC
-static unsigned short BN16[20] = {
-0137601,0124307,0010213,0035210,
-0040023,0042743,0101621,0016031,
-0137650,0164623,0036056,0074511,
-0037203,0174525,0000473,0142474,
-0136172,0130041,0066726,0064324,
-};
-static unsigned short BD16[20] = {
-/*0040200,0000000,0000000,0000000,*/
-0140745,0002354,0044335,0055276,
-0041051,0124717,0170130,0104013,
-0140647,0070135,0046473,0103501,
-0040165,0013745,0033324,0127766,
-0137141,0117204,0076164,0033107,
-};
-#endif
-#ifdef IBMPC
-static unsigned short BN16[20] = {
-0x6751,0xe211,0x3518,0xbfd0,
-0x2383,0x7072,0x68bc,0x3fe2,
-0xcf29,0x6785,0x1d32,0xbfd5,
-0x78a8,0xa027,0x7f2a,0x3fb0,
-0xcd1b,0x2dba,0x5604,0xbf6f,
-};
-static unsigned short BD16[20] = {
-/*0x0000,0x0000,0x0000,0x3ff0,*/
-0xab58,0x891b,0xa09d,0xc01c,
-0x1101,0xfe0b,0x3539,0x4025,
-0x70e8,0xa9a7,0xee0b,0xc014,
-0x95ff,0xa6da,0xa2fc,0x3fee,
-0x86c9,0x8f8e,0x33d0,0xbfac,
-};
-#endif
-#ifdef MIEEE
-static unsigned short BN16[20] = {
-0xbfd0,0x3518,0xe211,0x6751,
-0x3fe2,0x68bc,0x7072,0x2383,
-0xbfd5,0x1d32,0x6785,0xcf29,
-0x3fb0,0x7f2a,0xa027,0x78a8,
-0xbf6f,0x5604,0x2dba,0xcd1b,
-};
-static unsigned short BD16[20] = {
-/*0x3ff0,0x0000,0x0000,0x0000,*/
-0xc01c,0xa09d,0x891b,0xab58,
-0x4025,0x3539,0xfe0b,0x1101,
-0xc014,0xee0b,0xa9a7,0x70e8,
-0x3fee,0xa2fc,0xa6da,0x95ff,
-0xbfac,0x33d0,0x8f8e,0x86c9,
-};
-#endif
-
-#ifdef UNK
-static double BPPN[5] = {
- 4.65461162774651610328E-1,
--1.08992173800493920734E0,
- 6.38800117371827987759E-1,
--1.26844349553102907034E-1,
- 7.62487844342109852105E-3,
-};
-static double BPPD[5] = {
-/* 1.00000000000000000000E0,*/
--8.70622787633159124240E0,
- 1.38993162704553213172E1,
--7.14116144616431159572E0,
- 1.34008595960680518666E0,
--7.84273211323341930448E-2,
-};
-#endif
-#ifdef DEC
-static unsigned short BPPN[20] = {
-0037756,0050354,0167531,0135731,
-0140213,0101216,0032767,0020375,
-0040043,0104147,0106312,0177632,
-0137401,0161574,0032015,0043714,
-0036371,0155035,0143165,0142262,
-};
-static unsigned short BPPD[20] = {
-/*0040200,0000000,0000000,0000000,*/
-0141013,0046265,0115005,0161053,
-0041136,0061631,0072445,0156131,
-0140744,0102145,0001127,0065304,
-0040253,0103757,0146453,0102513,
-0137240,0117200,0155402,0113500,
-};
-#endif
-#ifdef IBMPC
-static unsigned short BPPN[20] = {
-0x377b,0x9deb,0xca1d,0x3fdd,
-0xe420,0xc6be,0x7051,0xbff1,
-0x5ff3,0xf199,0x710c,0x3fe4,
-0xa8fa,0x8681,0x3c6f,0xbfc0,
-0xb896,0xb8ce,0x3b43,0x3f7f,
-};
-static unsigned short BPPD[20] = {
-/*0x0000,0x0000,0x0000,0x3ff0,*/
-0xbc45,0xb340,0x6996,0xc021,
-0xbb8b,0x2ea4,0xcc73,0x402b,
-0xed59,0xa04a,0x908c,0xc01c,
-0x70a9,0xf9a5,0x70fd,0x3ff5,
-0x52e8,0x1b60,0x13d0,0xbfb4,
-};
-#endif
-#ifdef MIEEE
-static unsigned short BPPN[20] = {
-0x3fdd,0xca1d,0x9deb,0x377b,
-0xbff1,0x7051,0xc6be,0xe420,
-0x3fe4,0x710c,0xf199,0x5ff3,
-0xbfc0,0x3c6f,0x8681,0xa8fa,
-0x3f7f,0x3b43,0xb8ce,0xb896,
-};
-static unsigned short BPPD[20] = {
-/*0x3ff0,0x0000,0x0000,0x0000,*/
-0xc021,0x6996,0xb340,0xbc45,
-0x402b,0xcc73,0x2ea4,0xbb8b,
-0xc01c,0x908c,0xa04a,0xed59,
-0x3ff5,0x70fd,0xf9a5,0x70a9,
-0xbfb4,0x13d0,0x1b60,0x52e8,
-};
-#endif
-
-#ifdef UNK
-static double AFN[9] = {
--1.31696323418331795333E-1,
--6.26456544431912369773E-1,
--6.93158036036933542233E-1,
--2.79779981545119124951E-1,
--4.91900132609500318020E-2,
--4.06265923594885404393E-3,
--1.59276496239262096340E-4,
--2.77649108155232920844E-6,
--1.67787698489114633780E-8,
-};
-static double AFD[9] = {
-/* 1.00000000000000000000E0,*/
- 1.33560420706553243746E1,
- 3.26825032795224613948E1,
- 2.67367040941499554804E1,
- 9.18707402907259625840E0,
- 1.47529146771666414581E0,
- 1.15687173795188044134E-1,
- 4.40291641615211203805E-3,
- 7.54720348287414296618E-5,
- 4.51850092970580378464E-7,
-};
-#endif
-#ifdef DEC
-static unsigned short AFN[36] = {
-0137406,0155546,0124127,0033732,
-0140040,0057564,0141263,0041222,
-0140061,0071316,0013674,0175754,
-0137617,0037522,0056637,0120130,
-0137111,0075567,0121755,0166122,
-0136205,0020016,0043317,0002201,
-0135047,0001565,0075130,0002334,
-0133472,0051700,0165021,0131551,
-0131620,0020347,0132165,0013215,
-};
-static unsigned short AFD[36] = {
-/*0040200,0000000,0000000,0000000,*/
-0041125,0131131,0025627,0067623,
-0041402,0135342,0021703,0154315,
-0041325,0162305,0016671,0120175,
-0041022,0177101,0053114,0141632,
-0040274,0153131,0147364,0114306,
-0037354,0166545,0120042,0150530,
-0036220,0043127,0000727,0130273,
-0034636,0043275,0075667,0034733,
-0032762,0112715,0146250,0142474,
-};
-#endif
-#ifdef IBMPC
-static unsigned short AFN[36] = {
-0xe6fb,0xd50a,0xdb6c,0xbfc0,
-0x6852,0x9856,0x0bee,0xbfe4,
-0x9f7d,0xc2f7,0x2e59,0xbfe6,
-0xf40b,0x4bb3,0xe7ea,0xbfd1,
-0xbd8a,0xf47d,0x2f6e,0xbfa9,
-0xe090,0xc8d9,0xa401,0xbf70,
-0x009c,0xaf4b,0xe06e,0xbf24,
-0x366d,0x1d42,0x4a78,0xbec7,
-0xa2d2,0xf68e,0x041c,0xbe52,
-};
-static unsigned short AFD[36] = {
-/*0x0000,0x0000,0x0000,0x3ff0,*/
-0xedf2,0x2572,0xb64b,0x402a,
-0x7b1a,0x4478,0x575c,0x4040,
-0x3410,0xa3b7,0xbc98,0x403a,
-0x9873,0x2ac9,0x5fc8,0x4022,
-0x9319,0x39de,0x9acb,0x3ff7,
-0x5a2b,0xb404,0x9dac,0x3fbd,
-0xf617,0xe03a,0x08ca,0x3f72,
-0xe73b,0xaf76,0xc8d7,0x3f13,
-0x18a7,0xb995,0x52b9,0x3e9e,
-};
-#endif
-#ifdef MIEEE
-static unsigned short AFN[36] = {
-0xbfc0,0xdb6c,0xd50a,0xe6fb,
-0xbfe4,0x0bee,0x9856,0x6852,
-0xbfe6,0x2e59,0xc2f7,0x9f7d,
-0xbfd1,0xe7ea,0x4bb3,0xf40b,
-0xbfa9,0x2f6e,0xf47d,0xbd8a,
-0xbf70,0xa401,0xc8d9,0xe090,
-0xbf24,0xe06e,0xaf4b,0x009c,
-0xbec7,0x4a78,0x1d42,0x366d,
-0xbe52,0x041c,0xf68e,0xa2d2,
-};
-static unsigned short AFD[36] = {
-/*0x3ff0,0x0000,0x0000,0x0000,*/
-0x402a,0xb64b,0x2572,0xedf2,
-0x4040,0x575c,0x4478,0x7b1a,
-0x403a,0xbc98,0xa3b7,0x3410,
-0x4022,0x5fc8,0x2ac9,0x9873,
-0x3ff7,0x9acb,0x39de,0x9319,
-0x3fbd,0x9dac,0xb404,0x5a2b,
-0x3f72,0x08ca,0xe03a,0xf617,
-0x3f13,0xc8d7,0xaf76,0xe73b,
-0x3e9e,0x52b9,0xb995,0x18a7,
-};
-#endif
-
-#ifdef UNK
-static double AGN[11] = {
-  1.97339932091685679179E-2,
-  3.91103029615688277255E-1,
-  1.06579897599595591108E0,
-  9.39169229816650230044E-1,
-  3.51465656105547619242E-1,
-  6.33888919628925490927E-2,
-  5.85804113048388458567E-3,
-  2.82851600836737019778E-4,
-  6.98793669997260967291E-6,
-  8.11789239554389293311E-8,
-  3.41551784765923618484E-10,
-};
-static double AGD[10] = {
-/*  1.00000000000000000000E0,*/
-  9.30892908077441974853E0,
-  1.98352928718312140417E1,
-  1.55646628932864612953E1,
-  5.47686069422975497931E0,
-  9.54293611618961883998E-1,
-  8.64580826352392193095E-2,
-  4.12656523824222607191E-3,
-  1.01259085116509135510E-4,
-  1.17166733214413521882E-6,
-  4.91834570062930015649E-9,
-};
-#endif
-#ifdef DEC
-static unsigned short AGN[44] = {
-0036641,0124456,0167175,0157354,
-0037710,0037250,0001441,0136671,
-0040210,0066031,0150401,0123532,
-0040160,0066545,0003570,0153133,
-0037663,0171516,0072507,0170345,
-0037201,0151011,0007510,0045702,
-0036277,0172317,0104572,0101030,
-0035224,0045663,0000160,0136422,
-0033752,0074753,0047702,0135160,
-0032256,0052225,0156550,0107103,
-0030273,0142443,0166277,0071720,
-};
-static unsigned short AGD[40] = {
-/*0040200,0000000,0000000,0000000,*/
-0041024,0170537,0117253,0055003,
-0041236,0127256,0003570,0143240,
-0041171,0004333,0172476,0160645,
-0040657,0041161,0055716,0157161,
-0040164,0046226,0006257,0063431,
-0037261,0010357,0065445,0047563,
-0036207,0034043,0057434,0116732,
-0034724,0055416,0130035,0026377,
-0033235,0041056,0154071,0023502,
-0031250,0177071,0167254,0047242,
-};
-#endif
-#ifdef IBMPC
-static unsigned short AGN[44] = {
-0xbbde,0xddcf,0x3525,0x3f94,
-0x37b7,0x0064,0x07d5,0x3fd9,
-0x34eb,0x3a20,0x0d83,0x3ff1,
-0x1acb,0xa0ef,0x0dac,0x3fee,
-0xfe1d,0xcea8,0x7e69,0x3fd6,
-0x0978,0x21e9,0x3a41,0x3fb0,
-0x5043,0xf12f,0xfe99,0x3f77,
-0x17a2,0x600e,0x8976,0x3f32,
-0x574e,0x69f8,0x4f3d,0x3edd,
-0x11c8,0xbbad,0xca92,0x3e75,
-0xee7a,0x7d97,0x78a4,0x3df7,
-};
-static unsigned short AGD[40] = {
-/*0x0000,0x0000,0x0000,0x3ff0,*/
-0x6b40,0xf3d5,0x9e2b,0x4022,
-0x18d4,0xc0ef,0xd5d5,0x4033,
-0xdc35,0x7ea7,0x211b,0x402f,
-0xdbce,0x2b79,0xe84e,0x4015,
-0xece3,0xc195,0x8992,0x3fee,
-0xa9ee,0xed64,0x221d,0x3fb6,
-0x93bb,0x6be3,0xe704,0x3f70,
-0xa5a0,0xd603,0x8b61,0x3f1a,
-0x24e8,0xdb07,0xa845,0x3eb3,
-0x89d4,0x3dd5,0x1fc7,0x3e35,
-};
-#endif
-#ifdef MIEEE
-static unsigned short AGN[44] = {
-0x3f94,0x3525,0xddcf,0xbbde,
-0x3fd9,0x07d5,0x0064,0x37b7,
-0x3ff1,0x0d83,0x3a20,0x34eb,
-0x3fee,0x0dac,0xa0ef,0x1acb,
-0x3fd6,0x7e69,0xcea8,0xfe1d,
-0x3fb0,0x3a41,0x21e9,0x0978,
-0x3f77,0xfe99,0xf12f,0x5043,
-0x3f32,0x8976,0x600e,0x17a2,
-0x3edd,0x4f3d,0x69f8,0x574e,
-0x3e75,0xca92,0xbbad,0x11c8,
-0x3df7,0x78a4,0x7d97,0xee7a,
-};
-static unsigned short AGD[40] = {
-/*0x3ff0,0x0000,0x0000,0x0000,*/
-0x4022,0x9e2b,0xf3d5,0x6b40,
-0x4033,0xd5d5,0xc0ef,0x18d4,
-0x402f,0x211b,0x7ea7,0xdc35,
-0x4015,0xe84e,0x2b79,0xdbce,
-0x3fee,0x8992,0xc195,0xece3,
-0x3fb6,0x221d,0xed64,0xa9ee,
-0x3f70,0xe704,0x6be3,0x93bb,
-0x3f1a,0x8b61,0xd603,0xa5a0,
-0x3eb3,0xa845,0xdb07,0x24e8,
-0x3e35,0x1fc7,0x3dd5,0x89d4,
-};
-#endif
-
-#ifdef UNK
-static double APFN[9] = {
-  1.85365624022535566142E-1,
-  8.86712188052584095637E-1,
-  9.87391981747398547272E-1,
-  4.01241082318003734092E-1,
-  7.10304926289631174579E-2,
-  5.90618657995661810071E-3,
-  2.33051409401776799569E-4,
-  4.08718778289035454598E-6,
-  2.48379932900442457853E-8,
-};
-static double APFD[9] = {
-/*  1.00000000000000000000E0,*/
-  1.47345854687502542552E1,
-  3.75423933435489594466E1,
-  3.14657751203046424330E1,
-  1.09969125207298778536E1,
-  1.78885054766999417817E0,
-  1.41733275753662636873E-1,
-  5.44066067017226003627E-3,
-  9.39421290654511171663E-5,
-  5.65978713036027009243E-7,
-};
-#endif
-#ifdef DEC
-static unsigned short APFN[36] = {
-0037475,0150174,0071752,0166651,
-0040142,0177621,0164246,0101757,
-0040174,0142670,0106760,0006573,
-0037715,0067570,0116274,0022404,
-0037221,0074157,0053341,0117207,
-0036301,0104257,0015075,0004777,
-0035164,0057502,0164034,0001313,
-0033611,0022254,0176000,0112565,
-0031725,0055523,0025153,0166057,
-};
-static unsigned short APFD[36] = {
-/*0040200,0000000,0000000,0000000,*/
-0041153,0140334,0130506,0061402,
-0041426,0025551,0024440,0070611,
-0041373,0134750,0047147,0176702,
-0041057,0171532,0105430,0017674,
-0040344,0174416,0001726,0047754,
-0037421,0021207,0020167,0136264,
-0036262,0043621,0151321,0124324,
-0034705,0001313,0163733,0016407,
-0033027,0166702,0150440,0170561,
-};
-#endif
-#ifdef IBMPC
-static unsigned short APFN[36] = {
-0x5db5,0x8e7d,0xba0f,0x3fc7,
-0xd07e,0x3d14,0x5ff2,0x3fec,
-0x01af,0x11be,0x98b7,0x3fef,
-0x84a1,0x1397,0xadef,0x3fd9,
-0x33d1,0xeadc,0x2f0d,0x3fb2,
-0xa140,0xe347,0x3115,0x3f78,
-0x8059,0x5d03,0x8be8,0x3f2e,
-0x12af,0x9f80,0x2495,0x3ed1,
-0x7d86,0x654d,0xab6a,0x3e5a,
-};
-static unsigned short APFD[36] = {
-/*0x0000,0x0000,0x0000,0x3ff0,*/
-0xcc60,0x9628,0x781b,0x402d,
-0x0e31,0x2524,0xc56d,0x4042,
-0xffb8,0x09cc,0x773d,0x403f,
-0x03f7,0x5163,0xfe6b,0x4025,
-0xc9fd,0xc07a,0x9f21,0x3ffc,
-0xf796,0xe40e,0x2450,0x3fc2,
-0x351a,0x3a5a,0x48f2,0x3f76,
-0x63a1,0x7cfb,0xa059,0x3f18,
-0x1e2e,0x5a24,0xfdb8,0x3ea2,
-};
-#endif
-#ifdef MIEEE
-static unsigned short APFN[36] = {
-0x3fc7,0xba0f,0x8e7d,0x5db5,
-0x3fec,0x5ff2,0x3d14,0xd07e,
-0x3fef,0x98b7,0x11be,0x01af,
-0x3fd9,0xadef,0x1397,0x84a1,
-0x3fb2,0x2f0d,0xeadc,0x33d1,
-0x3f78,0x3115,0xe347,0xa140,
-0x3f2e,0x8be8,0x5d03,0x8059,
-0x3ed1,0x2495,0x9f80,0x12af,
-0x3e5a,0xab6a,0x654d,0x7d86,
-};
-static unsigned short APFD[36] = {
-/*0x3ff0,0x0000,0x0000,0x0000,*/
-0x402d,0x781b,0x9628,0xcc60,
-0x4042,0xc56d,0x2524,0x0e31,
-0x403f,0x773d,0x09cc,0xffb8,
-0x4025,0xfe6b,0x5163,0x03f7,
-0x3ffc,0x9f21,0xc07a,0xc9fd,
-0x3fc2,0x2450,0xe40e,0xf796,
-0x3f76,0x48f2,0x3a5a,0x351a,
-0x3f18,0xa059,0x7cfb,0x63a1,
-0x3ea2,0xfdb8,0x5a24,0x1e2e,
-};
-#endif
-
-#ifdef UNK
-static double APGN[11] = {
--3.55615429033082288335E-2,
--6.37311518129435504426E-1,
--1.70856738884312371053E0,
--1.50221872117316635393E0,
--5.63606665822102676611E-1,
--1.02101031120216891789E-1,
--9.48396695961445269093E-3,
--4.60325307486780994357E-4,
--1.14300836484517375919E-5,
--1.33415518685547420648E-7,
--5.63803833958893494476E-10,
-};
-static double APGD[11] = {
-/*  1.00000000000000000000E0,*/
-  9.85865801696130355144E0,
-  2.16401867356585941885E1,
-  1.73130776389749389525E1,
-  6.17872175280828766327E0,
-  1.08848694396321495475E0,
-  9.95005543440888479402E-2,
-  4.78468199683886610842E-3,
-  1.18159633322838625562E-4,
-  1.37480673554219441465E-6,
-  5.79912514929147598821E-9,
-};
-#endif
-#ifdef DEC
-static unsigned short APGN[44] = {
-0137021,0124372,0176075,0075331,
-0140043,0023330,0177672,0161655,
-0140332,0131126,0010413,0171112,
-0140300,0044263,0175560,0054070,
-0140020,0044206,0142603,0073324,
-0137321,0015130,0066144,0144033,
-0136433,0061243,0175542,0103373,
-0135361,0053721,0020441,0053203,
-0134077,0141725,0160277,0130612,
-0132417,0040372,0100363,0060200,
-0130432,0175052,0171064,0034147,
-};
-static unsigned short APGD[40] = {
-/*0040200,0000000,0000000,0000000,*/
-0041035,0136420,0030124,0140220,
-0041255,0017432,0034447,0162256,
-0041212,0100456,0154544,0006321,
-0040705,0134026,0127154,0123414,
-0040213,0051612,0044470,0172607,
-0037313,0143362,0053273,0157051,
-0036234,0144322,0054536,0007264,
-0034767,0146170,0054265,0170342,
-0033270,0102777,0167362,0073631,
-0031307,0040644,0167103,0021763,
-};
-#endif
-#ifdef IBMPC
-static unsigned short APGN[44] = {
-0xaf5b,0x5f87,0x351f,0xbfa2,
-0x5c76,0x1ff7,0x64db,0xbfe4,
-0x7e49,0xc221,0x564a,0xbffb,
-0x0b07,0x7f6e,0x0916,0xbff8,
-0x6edb,0xd8b0,0x0910,0xbfe2,
-0x9903,0x0d8c,0x234b,0xbfba,
-0x50df,0x7f6c,0x6c54,0xbf83,
-0x2ad0,0x2424,0x2afa,0xbf3e,
-0xf631,0xbc17,0xf87a,0xbee7,
-0x6c10,0x501e,0xe81f,0xbe81,
-0x870d,0x5e46,0x5f45,0xbe03,
-};
-static unsigned short APGD[40] = {
-/*0x0000,0x0000,0x0000,0x3ff0,*/
-0x9812,0x060a,0xb7a2,0x4023,
-0xfc96,0x4724,0xa3e3,0x4035,
-0x819a,0xdb2c,0x5025,0x4031,
-0x94e2,0xd5cd,0xb702,0x4018,
-0x1eb1,0x4927,0x6a71,0x3ff1,
-0x7bc5,0x4ad7,0x78de,0x3fb9,
-0xc1d7,0x4b2b,0x991a,0x3f73,
-0xbe1c,0x0b16,0xf98f,0x3f1e,
-0x4ef3,0xfdde,0x10bf,0x3eb7,
-0x647e,0x9dc8,0xe834,0x3e38,
-};
-#endif
-#ifdef MIEEE
-static unsigned short APGN[44] = {
-0xbfa2,0x351f,0x5f87,0xaf5b,
-0xbfe4,0x64db,0x1ff7,0x5c76,
-0xbffb,0x564a,0xc221,0x7e49,
-0xbff8,0x0916,0x7f6e,0x0b07,
-0xbfe2,0x0910,0xd8b0,0x6edb,
-0xbfba,0x234b,0x0d8c,0x9903,
-0xbf83,0x6c54,0x7f6c,0x50df,
-0xbf3e,0x2afa,0x2424,0x2ad0,
-0xbee7,0xf87a,0xbc17,0xf631,
-0xbe81,0xe81f,0x501e,0x6c10,
-0xbe03,0x5f45,0x5e46,0x870d,
-};
-static unsigned short APGD[40] = {
-/*0x3ff0,0x0000,0x0000,0x0000,*/
-0x4023,0xb7a2,0x060a,0x9812,
-0x4035,0xa3e3,0x4724,0xfc96,
-0x4031,0x5025,0xdb2c,0x819a,
-0x4018,0xb702,0xd5cd,0x94e2,
-0x3ff1,0x6a71,0x4927,0x1eb1,
-0x3fb9,0x78de,0x4ad7,0x7bc5,
-0x3f73,0x991a,0x4b2b,0xc1d7,
-0x3f1e,0xf98f,0x0b16,0xbe1c,
-0x3eb7,0x10bf,0xfdde,0x4ef3,
-0x3e38,0xe834,0x9dc8,0x647e,
-};
-#endif
-
-#ifdef ANSIPROT
-extern double fabs ( double );
-extern double exp ( double );
-extern double sqrt ( double );
-extern double polevl ( double, void *, int );
-extern double p1evl ( double, void *, int );
-extern double sin ( double );
-extern double cos ( double );
-#else
-double fabs(), exp(), sqrt();
-double polevl(), p1evl(), sin(), cos();
-#endif
-
-int airy( x, ai, aip, bi, bip )
-double x, *ai, *aip, *bi, *bip;
-{
-double z, zz, t, f, g, uf, ug, k, zeta, theta;
-int domflg;
-
-domflg = 0;
-if( x > MAXAIRY )
-	{
-	*ai = 0;
-	*aip = 0;
-	*bi = MAXNUM;
-	*bip = MAXNUM;
-	return(-1);
-	}
-
-if( x < -2.09 )
-	{
-	domflg = 15;
-	t = sqrt(-x);
-	zeta = -2.0 * x * t / 3.0;
-	t = sqrt(t);
-	k = sqpii / t;
-	z = 1.0/zeta;
-	zz = z * z;
-	uf = 1.0 + zz * polevl( zz, AFN, 8 ) / p1evl( zz, AFD, 9 );
-	ug = z * polevl( zz, AGN, 10 ) / p1evl( zz, AGD, 10 );
-	theta = zeta + 0.25 * PI;
-	f = sin( theta );
-	g = cos( theta );
-	*ai = k * (f * uf - g * ug);
-	*bi = k * (g * uf + f * ug);
-	uf = 1.0 + zz * polevl( zz, APFN, 8 ) / p1evl( zz, APFD, 9 );
-	ug = z * polevl( zz, APGN, 10 ) / p1evl( zz, APGD, 10 );
-	k = sqpii * t;
-	*aip = -k * (g * uf + f * ug);
-	*bip = k * (f * uf - g * ug);
-	return(0);
-	}
-
-if( x >= 2.09 )	/* cbrt(9) */
-	{
-	domflg = 5;
-	t = sqrt(x);
-	zeta = 2.0 * x * t / 3.0;
-	g = exp( zeta );
-	t = sqrt(t);
-	k = 2.0 * t * g;
-	z = 1.0/zeta;
-	f = polevl( z, AN, 7 ) / polevl( z, AD, 7 );
-	*ai = sqpii * f / k;
-	k = -0.5 * sqpii * t / g;
-	f = polevl( z, APN, 7 ) / polevl( z, APD, 7 );
-	*aip = f * k;
-
-	if( x > 8.3203353 )	/* zeta > 16 */
-		{
-		f = z * polevl( z, BN16, 4 ) / p1evl( z, BD16, 5 );
-		k = sqpii * g;
-		*bi = k * (1.0 + f) / t;
-		f = z * polevl( z, BPPN, 4 ) / p1evl( z, BPPD, 5 );
-		*bip = k * t * (1.0 + f);
-		return(0);
-		}
-	}
-
-f = 1.0;
-g = x;
-t = 1.0;
-uf = 1.0;
-ug = x;
-k = 1.0;
-z = x * x * x;
-while( t > MACHEP )
-	{
-	uf *= z;
-	k += 1.0;
-	uf /=k;
-	ug *= z;
-	k += 1.0;
-	ug /=k;
-	uf /=k;
-	f += uf;
-	k += 1.0;
-	ug /=k;
-	g += ug;
-	t = fabs(uf/f);
-	}
-uf = c1 * f;
-ug = c2 * g;
-if( (domflg & 1) == 0 )
-	*ai = uf - ug;
-if( (domflg & 2) == 0 )
-	*bi = sqrt3 * (uf + ug);
-
-/* the deriviative of ai */
-k = 4.0;
-uf = x * x/2.0;
-ug = z/3.0;
-f = uf;
-g = 1.0 + ug;
-uf /= 3.0;
-t = 1.0;
-
-while( t > MACHEP )
-	{
-	uf *= z;
-	ug /=k;
-	k += 1.0;
-	ug *= z;
-	uf /=k;
-	f += uf;
-	k += 1.0;
-	ug /=k;
-	uf /=k;
-	g += ug;
-	k += 1.0;
-	t = fabs(ug/g);
-	}
-
-uf = c1 * f;
-ug = c2 * g;
-if( (domflg & 4) == 0 )
-	*aip = uf - ug;
-if( (domflg & 8) == 0 )
-	*bip = sqrt3 * (uf + ug);
-return(0);
-}