diff options
author | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
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committer | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
commit | 1077fa4d772832f77a677ce7fb7c2d513b959e3f (patch) | |
tree | 579bee13fb0b58d2800206366ec2caecbb15f3fc /libm/double/sici.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/double/sici.c')
-rw-r--r-- | libm/double/sici.c | 675 |
1 files changed, 675 insertions, 0 deletions
diff --git a/libm/double/sici.c b/libm/double/sici.c new file mode 100644 index 000000000..b00b9c449 --- /dev/null +++ b/libm/double/sici.c @@ -0,0 +1,675 @@ +/* sici.c + * + * Sine and cosine integrals + * + * + * + * SYNOPSIS: + * + * double x, Ci, Si, sici(); + * + * sici( x, &Si, &Ci ); + * + * + * DESCRIPTION: + * + * Evaluates the integrals + * + * x + * - + * | cos t - 1 + * Ci(x) = eul + ln x + | --------- dt, + * | t + * - + * 0 + * x + * - + * | sin t + * Si(x) = | ----- dt + * | t + * - + * 0 + * + * where eul = 0.57721566490153286061 is Euler's constant. + * The integrals are approximated by rational functions. + * For x > 8 auxiliary functions f(x) and g(x) are employed + * such that + * + * Ci(x) = f(x) sin(x) - g(x) cos(x) + * Si(x) = pi/2 - f(x) cos(x) - g(x) sin(x) + * + * + * ACCURACY: + * Test interval = [0,50]. + * Absolute error, except relative when > 1: + * arithmetic function # trials peak rms + * IEEE Si 30000 4.4e-16 7.3e-17 + * IEEE Ci 30000 6.9e-16 5.1e-17 + * DEC Si 5000 4.4e-17 9.0e-18 + * DEC Ci 5300 7.9e-17 5.2e-18 + */ + +/* +Cephes Math Library Release 2.1: January, 1989 +Copyright 1984, 1987, 1989 by Stephen L. Moshier +Direct inquiries to 30 Frost Street, Cambridge, MA 02140 +*/ + +#include <math.h> + +#ifdef UNK +static double SN[] = { +-8.39167827910303881427E-11, + 4.62591714427012837309E-8, +-9.75759303843632795789E-6, + 9.76945438170435310816E-4, +-4.13470316229406538752E-2, + 1.00000000000000000302E0, +}; +static double SD[] = { + 2.03269266195951942049E-12, + 1.27997891179943299903E-9, + 4.41827842801218905784E-7, + 9.96412122043875552487E-5, + 1.42085239326149893930E-2, + 9.99999999999999996984E-1, +}; +#endif +#ifdef DEC +static unsigned short SN[] = { +0127670,0104362,0167505,0035161, +0032106,0127177,0032131,0056461, +0134043,0132213,0000476,0172351, +0035600,0006331,0064761,0032665, +0137051,0055601,0044667,0017645, +0040200,0000000,0000000,0000000, +}; +static unsigned short SD[] = { +0026417,0004674,0052064,0001573, +0030657,0165501,0014666,0131526, +0032755,0032133,0034147,0024124, +0034720,0173167,0166624,0154477, +0036550,0145336,0063534,0063220, +0040200,0000000,0000000,0000000, +}; +#endif +#ifdef IBMPC +static unsigned short SN[] = { +0xa74e,0x5de8,0x111e,0xbdd7, +0x2ba6,0xe68b,0xd5cf,0x3e68, +0xde9d,0x6027,0x7691,0xbee4, +0x26b7,0x2d3e,0x019b,0x3f50, +0xe3f5,0x2936,0x2b70,0xbfa5, +0x0000,0x0000,0x0000,0x3ff0, +}; +static unsigned short SD[] = { +0x806f,0x8a86,0xe137,0x3d81, +0xd66b,0x2336,0xfd68,0x3e15, +0xe50a,0x670c,0xa68b,0x3e9d, +0x9b28,0xfdb2,0x1ece,0x3f1a, +0x8cd2,0xcceb,0x195b,0x3f8d, +0x0000,0x0000,0x0000,0x3ff0, +}; +#endif +#ifdef MIEEE +static unsigned short SN[] = { +0xbdd7,0x111e,0x5de8,0xa74e, +0x3e68,0xd5cf,0xe68b,0x2ba6, +0xbee4,0x7691,0x6027,0xde9d, +0x3f50,0x019b,0x2d3e,0x26b7, +0xbfa5,0x2b70,0x2936,0xe3f5, +0x3ff0,0x0000,0x0000,0x0000, +}; +static unsigned short SD[] = { +0x3d81,0xe137,0x8a86,0x806f, +0x3e15,0xfd68,0x2336,0xd66b, +0x3e9d,0xa68b,0x670c,0xe50a, +0x3f1a,0x1ece,0xfdb2,0x9b28, +0x3f8d,0x195b,0xcceb,0x8cd2, +0x3ff0,0x0000,0x0000,0x0000, +}; +#endif +#ifdef UNK +static double CN[] = { + 2.02524002389102268789E-11, +-1.35249504915790756375E-8, + 3.59325051419993077021E-6, +-4.74007206873407909465E-4, + 2.89159652607555242092E-2, +-1.00000000000000000080E0, +}; +static double CD[] = { + 4.07746040061880559506E-12, + 3.06780997581887812692E-9, + 1.23210355685883423679E-6, + 3.17442024775032769882E-4, + 5.10028056236446052392E-2, + 4.00000000000000000080E0, +}; +#endif +#ifdef DEC +static unsigned short CN[] = { +0027262,0022131,0160257,0020166, +0131550,0055534,0077637,0000557, +0033561,0021622,0161463,0026575, +0135370,0102053,0116333,0000466, +0036754,0160454,0122022,0024622, +0140200,0000000,0000000,0000000, +}; +static unsigned short CD[] = { +0026617,0073177,0107543,0104425, +0031122,0150573,0156453,0041517, +0033245,0057301,0077706,0110510, +0035246,0067130,0165424,0044543, +0037120,0164121,0061206,0053657, +0040600,0000000,0000000,0000000, +}; +#endif +#ifdef IBMPC +static unsigned short CN[] = { +0xe40f,0x3c15,0x448b,0x3db6, +0xe02e,0x8ff3,0x0b6b,0xbe4d, +0x65b0,0x5c66,0x2472,0x3ece, +0x6027,0x739b,0x1085,0xbf3f, +0x4532,0x9482,0x9c25,0x3f9d, +0x0000,0x0000,0x0000,0xbff0, +}; +static unsigned short CD[] = { +0x7123,0xf1ec,0xeecf,0x3d91, +0x686a,0x7ba5,0x5a2f,0x3e2a, +0xd229,0x2ff8,0xabd8,0x3eb4, +0x892c,0x1d62,0xcdcb,0x3f34, +0xcaf6,0x2c50,0x1d0a,0x3faa, +0x0000,0x0000,0x0000,0x4010, +}; +#endif +#ifdef MIEEE +static unsigned short CN[] = { +0x3db6,0x448b,0x3c15,0xe40f, +0xbe4d,0x0b6b,0x8ff3,0xe02e, +0x3ece,0x2472,0x5c66,0x65b0, +0xbf3f,0x1085,0x739b,0x6027, +0x3f9d,0x9c25,0x9482,0x4532, +0xbff0,0x0000,0x0000,0x0000, +}; +static unsigned short CD[] = { +0x3d91,0xeecf,0xf1ec,0x7123, +0x3e2a,0x5a2f,0x7ba5,0x686a, +0x3eb4,0xabd8,0x2ff8,0xd229, +0x3f34,0xcdcb,0x1d62,0x892c, +0x3faa,0x1d0a,0x2c50,0xcaf6, +0x4010,0x0000,0x0000,0x0000, +}; +#endif + + +#ifdef UNK +static double FN4[] = { + 4.23612862892216586994E0, + 5.45937717161812843388E0, + 1.62083287701538329132E0, + 1.67006611831323023771E-1, + 6.81020132472518137426E-3, + 1.08936580650328664411E-4, + 5.48900223421373614008E-7, +}; +static double FD4[] = { +/* 1.00000000000000000000E0,*/ + 8.16496634205391016773E0, + 7.30828822505564552187E0, + 1.86792257950184183883E0, + 1.78792052963149907262E-1, + 7.01710668322789753610E-3, + 1.10034357153915731354E-4, + 5.48900252756255700982E-7, +}; +#endif +#ifdef DEC +static unsigned short FN4[] = { +0040607,0107135,0120133,0153471, +0040656,0131467,0140424,0017567, +0040317,0073563,0121610,0002511, +0037453,0001710,0000040,0006334, +0036337,0024033,0176003,0171425, +0034744,0072341,0121657,0126035, +0033023,0054042,0154652,0000451, +}; +static unsigned short FD4[] = { +/*0040200,0000000,0000000,0000000,*/ +0041002,0121663,0137500,0177450, +0040751,0156577,0042213,0061552, +0040357,0014026,0045465,0147265, +0037467,0012503,0110413,0131772, +0036345,0167701,0155706,0160551, +0034746,0141076,0162250,0123547, +0033023,0054043,0056706,0151050, +}; +#endif +#ifdef IBMPC +static unsigned short FN4[] = { +0x7ae7,0xb40b,0xf1cb,0x4010, +0x83ef,0xf822,0xd666,0x4015, +0x00a9,0x7471,0xeeee,0x3ff9, +0x019c,0x0004,0x6079,0x3fc5, +0x7e63,0x7f80,0xe503,0x3f7b, +0xf584,0x3475,0x8e9c,0x3f1c, +0x4025,0x5b35,0x6b04,0x3ea2, +}; +static unsigned short FD4[] = { +/*0x0000,0x0000,0x0000,0x3ff0,*/ +0x1fe5,0x77e8,0x5476,0x4020, +0x6c6d,0xe891,0x3baf,0x401d, +0xb9d7,0xc966,0xe302,0x3ffd, +0x767f,0x7221,0xe2a8,0x3fc6, +0xdc2d,0x3b78,0xbdf8,0x3f7c, +0x14ed,0xdc95,0xd847,0x3f1c, +0xda45,0x6bb8,0x6b04,0x3ea2, +}; +#endif +#ifdef MIEEE +static unsigned short FN4[] = { +0x4010,0xf1cb,0xb40b,0x7ae7, +0x4015,0xd666,0xf822,0x83ef, +0x3ff9,0xeeee,0x7471,0x00a9, +0x3fc5,0x6079,0x0004,0x019c, +0x3f7b,0xe503,0x7f80,0x7e63, +0x3f1c,0x8e9c,0x3475,0xf584, +0x3ea2,0x6b04,0x5b35,0x4025, +}; +static unsigned short FD4[] = { +/* 0x3ff0,0x0000,0x0000,0x0000,*/ +0x4020,0x5476,0x77e8,0x1fe5, +0x401d,0x3baf,0xe891,0x6c6d, +0x3ffd,0xe302,0xc966,0xb9d7, +0x3fc6,0xe2a8,0x7221,0x767f, +0x3f7c,0xbdf8,0x3b78,0xdc2d, +0x3f1c,0xd847,0xdc95,0x14ed, +0x3ea2,0x6b04,0x6bb8,0xda45, +}; +#endif + +#ifdef UNK +static double FN8[] = { + 4.55880873470465315206E-1, + 7.13715274100146711374E-1, + 1.60300158222319456320E-1, + 1.16064229408124407915E-2, + 3.49556442447859055605E-4, + 4.86215430826454749482E-6, + 3.20092790091004902806E-8, + 9.41779576128512936592E-11, + 9.70507110881952024631E-14, +}; +static double FD8[] = { +/* 1.00000000000000000000E0,*/ + 9.17463611873684053703E-1, + 1.78685545332074536321E-1, + 1.22253594771971293032E-2, + 3.58696481881851580297E-4, + 4.92435064317881464393E-6, + 3.21956939101046018377E-8, + 9.43720590350276732376E-11, + 9.70507110881952025725E-14, +}; +#endif +#ifdef DEC +static unsigned short FN8[] = { +0037751,0064467,0142332,0164573, +0040066,0133013,0050352,0071102, +0037444,0022671,0102157,0013535, +0036476,0024335,0136423,0146444, +0035267,0042253,0164110,0110460, +0033643,0022626,0062535,0060320, +0032011,0075223,0010110,0153413, +0027717,0014572,0011360,0014034, +0025332,0104755,0004563,0152354, +}; +static unsigned short FD8[] = { +/*0040200,0000000,0000000,0000000,*/ +0040152,0157345,0030104,0075616, +0037466,0174527,0172740,0071060, +0036510,0046337,0144272,0156552, +0035274,0007555,0042537,0015572, +0033645,0035731,0112465,0026474, +0032012,0043612,0030613,0030123, +0027717,0103277,0004564,0151000, +0025332,0104755,0004563,0152354, +}; +#endif +#ifdef IBMPC +static unsigned short FN8[] = { +0x5d2f,0xf89b,0x2d26,0x3fdd, +0x4e48,0x6a1d,0xd6c1,0x3fe6, +0xe2ec,0x308d,0x84b7,0x3fc4, +0x79a4,0xb7a2,0xc51b,0x3f87, +0x1226,0x7d09,0xe895,0x3f36, +0xac1a,0xccab,0x64b2,0x3ed4, +0x1ae1,0x6209,0x2f52,0x3e61, +0x0304,0x425e,0xe32f,0x3dd9, +0x7a9d,0xa12e,0x513d,0x3d3b, +}; +static unsigned short FD8[] = { +/*0x0000,0x0000,0x0000,0x3ff0,*/ +0x8f72,0xa608,0x5bdc,0x3fed, +0x0e46,0xfebc,0xdf2a,0x3fc6, +0x5bad,0xf917,0x099b,0x3f89, +0xe36f,0xa8ab,0x81ed,0x3f37, +0xa5a8,0x32a6,0xa77b,0x3ed4, +0x660a,0x4631,0x48f1,0x3e61, +0x9a40,0xe12e,0xf0d7,0x3dd9, +0x7a9d,0xa12e,0x513d,0x3d3b, +}; +#endif +#ifdef MIEEE +static unsigned short FN8[] = { +0x3fdd,0x2d26,0xf89b,0x5d2f, +0x3fe6,0xd6c1,0x6a1d,0x4e48, +0x3fc4,0x84b7,0x308d,0xe2ec, +0x3f87,0xc51b,0xb7a2,0x79a4, +0x3f36,0xe895,0x7d09,0x1226, +0x3ed4,0x64b2,0xccab,0xac1a, +0x3e61,0x2f52,0x6209,0x1ae1, +0x3dd9,0xe32f,0x425e,0x0304, +0x3d3b,0x513d,0xa12e,0x7a9d, +}; +static unsigned short FD8[] = { +/*0x3ff0,0x0000,0x0000,0x0000,*/ +0x3fed,0x5bdc,0xa608,0x8f72, +0x3fc6,0xdf2a,0xfebc,0x0e46, +0x3f89,0x099b,0xf917,0x5bad, +0x3f37,0x81ed,0xa8ab,0xe36f, +0x3ed4,0xa77b,0x32a6,0xa5a8, +0x3e61,0x48f1,0x4631,0x660a, +0x3dd9,0xf0d7,0xe12e,0x9a40, +0x3d3b,0x513d,0xa12e,0x7a9d, +}; +#endif + +#ifdef UNK +static double GN4[] = { + 8.71001698973114191777E-2, + 6.11379109952219284151E-1, + 3.97180296392337498885E-1, + 7.48527737628469092119E-2, + 5.38868681462177273157E-3, + 1.61999794598934024525E-4, + 1.97963874140963632189E-6, + 7.82579040744090311069E-9, +}; +static double GD4[] = { +/* 1.00000000000000000000E0,*/ + 1.64402202413355338886E0, + 6.66296701268987968381E-1, + 9.88771761277688796203E-2, + 6.22396345441768420760E-3, + 1.73221081474177119497E-4, + 2.02659182086343991969E-6, + 7.82579218933534490868E-9, +}; +#endif +#ifdef DEC +static unsigned short GN4[] = { +0037262,0060622,0164572,0157515, +0040034,0101527,0061263,0147204, +0037713,0055467,0037475,0144512, +0037231,0046151,0035234,0045261, +0036260,0111624,0150617,0053536, +0035051,0157175,0016675,0155456, +0033404,0154757,0041211,0000055, +0031406,0071060,0130322,0033322, +}; +static unsigned short GD4[] = { +/* 0040200,0000000,0000000,0000000,*/ +0040322,0067520,0046707,0053275, +0040052,0111153,0126542,0005516, +0037312,0100035,0167121,0014552, +0036313,0171143,0137176,0014213, +0035065,0121256,0012033,0150603, +0033410,0000225,0013121,0071643, +0031406,0071062,0131152,0150454, +}; +#endif +#ifdef IBMPC +static unsigned short GN4[] = { +0x5bea,0x5d2f,0x4c32,0x3fb6, +0x79d1,0xec56,0x906a,0x3fe3, +0xb929,0xe7e7,0x6b66,0x3fd9, +0x8956,0x2753,0x298d,0x3fb3, +0xeaec,0x9a31,0x1272,0x3f76, +0xbb66,0xa3b7,0x3bcf,0x3f25, +0x2006,0xe851,0x9b3d,0x3ec0, +0x46da,0x161a,0xce46,0x3e40, +}; +static unsigned short GD4[] = { +/* 0x0000,0x0000,0x0000,0x3ff0,*/ +0xead8,0x09b8,0x4dea,0x3ffa, +0x416a,0x75ac,0x524d,0x3fe5, +0x232d,0xbdca,0x5003,0x3fb9, +0xc311,0x77cf,0x7e4c,0x3f79, +0x7a30,0xc283,0xb455,0x3f26, +0x2e74,0xa2ca,0x0012,0x3ec1, +0x5a26,0x564d,0xce46,0x3e40, +}; +#endif +#ifdef MIEEE +static unsigned short GN4[] = { +0x3fb6,0x4c32,0x5d2f,0x5bea, +0x3fe3,0x906a,0xec56,0x79d1, +0x3fd9,0x6b66,0xe7e7,0xb929, +0x3fb3,0x298d,0x2753,0x8956, +0x3f76,0x1272,0x9a31,0xeaec, +0x3f25,0x3bcf,0xa3b7,0xbb66, +0x3ec0,0x9b3d,0xe851,0x2006, +0x3e40,0xce46,0x161a,0x46da, +}; +static unsigned short GD4[] = { +/*0x3ff0,0x0000,0x0000,0x0000,*/ +0x3ffa,0x4dea,0x09b8,0xead8, +0x3fe5,0x524d,0x75ac,0x416a, +0x3fb9,0x5003,0xbdca,0x232d, +0x3f79,0x7e4c,0x77cf,0xc311, +0x3f26,0xb455,0xc283,0x7a30, +0x3ec1,0x0012,0xa2ca,0x2e74, +0x3e40,0xce46,0x564d,0x5a26, +}; +#endif + +#ifdef UNK +static double GN8[] = { + 6.97359953443276214934E-1, + 3.30410979305632063225E-1, + 3.84878767649974295920E-2, + 1.71718239052347903558E-3, + 3.48941165502279436777E-5, + 3.47131167084116673800E-7, + 1.70404452782044526189E-9, + 3.85945925430276600453E-12, + 3.14040098946363334640E-15, +}; +static double GD8[] = { +/* 1.00000000000000000000E0,*/ + 1.68548898811011640017E0, + 4.87852258695304967486E-1, + 4.67913194259625806320E-2, + 1.90284426674399523638E-3, + 3.68475504442561108162E-5, + 3.57043223443740838771E-7, + 1.72693748966316146736E-9, + 3.87830166023954706752E-12, + 3.14040098946363335242E-15, +}; +#endif +#ifdef DEC +static unsigned short GN8[] = { +0040062,0103056,0110624,0033123, +0037651,0025640,0136266,0145647, +0037035,0122566,0137770,0061777, +0035741,0011424,0065311,0013370, +0034422,0055505,0134324,0016755, +0032672,0056530,0022565,0014747, +0030752,0031674,0114735,0013162, +0026607,0145353,0022020,0123625, +0024142,0045054,0060033,0016505, +}; +static unsigned short GD8[] = { +/*0040200,0000000,0000000,0000000,*/ +0040327,0137032,0064331,0136425, +0037771,0143705,0070300,0105711, +0037077,0124101,0025275,0035356, +0035771,0064333,0145103,0105357, +0034432,0106301,0105311,0010713, +0032677,0127645,0120034,0157551, +0030755,0054466,0010743,0105566, +0026610,0072242,0142530,0135744, +0024142,0045054,0060033,0016505, +}; +#endif +#ifdef IBMPC +static unsigned short GN8[] = { +0x86ca,0xd232,0x50c5,0x3fe6, +0xd975,0x1796,0x2574,0x3fd5, +0x0c80,0xd7ff,0xb4ae,0x3fa3, +0x22df,0x8d59,0x2262,0x3f5c, +0x83be,0xb71a,0x4b68,0x3f02, +0xa33d,0x04ae,0x4bab,0x3e97, +0xa2ce,0x933b,0x4677,0x3e1d, +0x14f3,0x6482,0xf95d,0x3d90, +0x63a9,0x8c03,0x4945,0x3cec, +}; +static unsigned short GD8[] = { +/*0x0000,0x0000,0x0000,0x3ff0,*/ +0x37a3,0x4d1b,0xf7c3,0x3ffa, +0x1179,0xae18,0x38f8,0x3fdf, +0xa75e,0x2557,0xf508,0x3fa7, +0x715e,0x7948,0x2d1b,0x3f5f, +0x2239,0x3159,0x5198,0x3f03, +0x9bed,0xb403,0xf5f4,0x3e97, +0x716f,0xc23c,0xab26,0x3e1d, +0x177c,0x58ab,0x0e94,0x3d91, +0x63a9,0x8c03,0x4945,0x3cec, +}; +#endif +#ifdef MIEEE +static unsigned short GN8[] = { +0x3fe6,0x50c5,0xd232,0x86ca, +0x3fd5,0x2574,0x1796,0xd975, +0x3fa3,0xb4ae,0xd7ff,0x0c80, +0x3f5c,0x2262,0x8d59,0x22df, +0x3f02,0x4b68,0xb71a,0x83be, +0x3e97,0x4bab,0x04ae,0xa33d, +0x3e1d,0x4677,0x933b,0xa2ce, +0x3d90,0xf95d,0x6482,0x14f3, +0x3cec,0x4945,0x8c03,0x63a9, +}; +static unsigned short GD8[] = { +/*0x3ff0,0x0000,0x0000,0x0000,*/ +0x3ffa,0xf7c3,0x4d1b,0x37a3, +0x3fdf,0x38f8,0xae18,0x1179, +0x3fa7,0xf508,0x2557,0xa75e, +0x3f5f,0x2d1b,0x7948,0x715e, +0x3f03,0x5198,0x3159,0x2239, +0x3e97,0xf5f4,0xb403,0x9bed, +0x3e1d,0xab26,0xc23c,0x716f, +0x3d91,0x0e94,0x58ab,0x177c, +0x3cec,0x4945,0x8c03,0x63a9, +}; +#endif + +#ifdef ANSIPROT +extern double log ( double ); +extern double sin ( double ); +extern double cos ( double ); +extern double polevl ( double, void *, int ); +extern double p1evl ( double, void *, int ); +#else +double log(), sin(), cos(), polevl(), p1evl(); +#endif +#define EUL 0.57721566490153286061 +extern double MAXNUM, PIO2, MACHEP; + + +int sici( x, si, ci ) +double x; +double *si, *ci; +{ +double z, c, s, f, g; +short sign; + +if( x < 0.0 ) + { + sign = -1; + x = -x; + } +else + sign = 0; + + +if( x == 0.0 ) + { + *si = 0.0; + *ci = -MAXNUM; + return( 0 ); + } + + +if( x > 1.0e9 ) + { + *si = PIO2 - cos(x)/x; + *ci = sin(x)/x; + return( 0 ); + } + + + +if( x > 4.0 ) + goto asympt; + +z = x * x; +s = x * polevl( z, SN, 5 ) / polevl( z, SD, 5 ); +c = z * polevl( z, CN, 5 ) / polevl( z, CD, 5 ); + +if( sign ) + s = -s; +*si = s; +*ci = EUL + log(x) + c; /* real part if x < 0 */ +return(0); + + + +/* The auxiliary functions are: + * + * + * *si = *si - PIO2; + * c = cos(x); + * s = sin(x); + * + * t = *ci * s - *si * c; + * a = *ci * c + *si * s; + * + * *si = t; + * *ci = -a; + */ + + +asympt: + +s = sin(x); +c = cos(x); +z = 1.0/(x*x); +if( x < 8.0 ) + { + f = polevl( z, FN4, 6 ) / (x * p1evl( z, FD4, 7 )); + g = z * polevl( z, GN4, 7 ) / p1evl( z, GD4, 7 ); + } +else + { + f = polevl( z, FN8, 8 ) / (x * p1evl( z, FD8, 8 )); + g = z * polevl( z, GN8, 8 ) / p1evl( z, GD8, 9 ); + } +*si = PIO2 - f * c - g * s; +if( sign ) + *si = -( *si ); +*ci = f * s - g * c; + +return(0); +} |