text: /*							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 "mconf.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
  
  #ifndef ANSIPROT
  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;
  	}
  
  
  
  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);
  }
  