/*===-------------------------------------------------------------------------- * ROCm Device Libraries * * This file is distributed under the University of Illinois Open Source * License. See LICENSE.TXT for details. *===------------------------------------------------------------------------*/ #include "mathD.h" extern double MATH_PRIVATE(sinb)(double, int, double); extern CONSTATTR double MATH_PRIVATE(bp0)(double); extern CONSTATTR double MATH_PRIVATE(ba0)(double); CONSTATTR double MATH_MANGLE(y0)(double x) { const double b0 = 0.3125; const double b1 = 0.4375; const double b2 = 0.5625; const double b3 = 0.6875; const double b4 = 0.8125; const double b5 = 1.0; const double b6 = 1.25; const double b7 = 1.625; const double b8 = 2.0; const double b9 = 2.53125; const double b10 = 3.0; const double b11 = 3.484375; const double b12 = 4.703125; const double b13 = 6.265625; const double b14 = 7.84375; const double b15 = 9.421875; const double b16 = 10.984375; const double b17 = 12.546875; double ret; if (x <= b17) { // Ty to maintain relative accuracy here USE_TABLE(double, p, M64_Y0); double ch, cl; if (x < b8) { if (x < b4) { if (x < b0) { ch = 0.0; cl = 0.0; } else if (x < b1) { ch = 0x1.4p-2; cl = 0.0; p += 1*15; } else if (x < b2) { ch = 0x1.cp-2; cl = 0.0; p += 2*15; } else if (x < b3) { ch = 0x1.2p-1; cl = 0.0; p += 3*15; } else { ch = 0x1.6p-1; cl = 0.0; p += 4*15; } } else { if (x < b5) { ch = 0x1.c982eb8d417eap-1; cl = 0x1.ea9d270347f83p-56; p += 5*15; } else if (x < b6) { ch = 0x1.p+0; cl = 0.0; p += 6*15; } else if (x < b7) { ch = 0x1.4p+0; cl = 0.0; p += 7*15; } else { ch = 0x1.ap+0; cl = 0.0; p += 8*15; } } } else { if (x < b13) { if (x < b9) { ch = 0x1.193bed4dff243p+1; cl = -0x1.bd1e50d219bfdp-55; p += 9*15; } else if (x < b10) { ch = 0x1.44p+1; cl = 0.0; p += 10*15; } else if (x < b11) { ch = 0x1.8p+1; cl = 0.0; p += 11*15; } else if (x < b12) { ch = 0x1.fa9534d98569cp+1; cl = -0x1.f06ae7804384ep-54; p += 12*15; } else { ch = 0x1.5b7fe4e87b02ep+2; cl = 0x1.dfe7bac228e8cp-52; p += 13*15; } } else { if (x < b14) { ch = 0x1.c581dc4e72103p+2; cl = -0x1.9774a495f56cfp-54; p += 14*15; } else if (x < b15) { ch = 0x1.13127ae6169b4p+3; cl = 0x1.479cc068d9046p-52; p += 15*15; } else if (x < b16) { ch = 0x1.471d735a47d58p+3; cl = -0x1.cb49ff791c495p-51; p += 16*15; } else { ch = 0x1.77f9138d43206p+3; cl = 0x1.0fc786ce0608p-55; p += 17*15; } } } ret = 0.0; if (x < b0) { ret = 0x1.45f306dc9c883p-1 * MATH_MANGLE(j0)(x) * MATH_MANGLE(log)(x); x = x*x; } x = x - ch - cl; ret += MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, MATH_MAD(x, p[14], p[13]), p[12]), p[11]), p[10]), p[9]), p[8]), p[7]), p[6]), p[5]), p[4]), p[3]), p[2]), p[1]), p[0]); } else { double r = MATH_RCP(x); double r2 = r*r; double p = MATH_PRIVATE(bp0)(r2) * r; ret = 0x1.9884533d43651p-1 * MATH_FAST_SQRT(r) * MATH_PRIVATE(ba0)(r2) * MATH_PRIVATE(sinb)(x, 0, p); ret = x == PINF_F64 ? 0.0 : ret; } return ret; }