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-rw-r--r--libm/double/sici.c675
1 files changed, 675 insertions, 0 deletions
diff --git a/libm/double/sici.c b/libm/double/sici.c
new file mode 100644
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--- /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);
+}
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-09 17:51:45 +0000