/* * (c) copyright 1988 by the Vrije Universiteit, Amsterdam, The Netherlands. * See the copyright notice in the ACK home directory, in the file "Copyright". * * Author: Ceriel J.H. Jacobs */ /* $Id$ */ #include #include extern int errno; static double asin_acos(x, cosfl) double x; { int negative = x < 0; int i; double g; extern double sqrt(); static double p[] = { -0.27368494524164255994e+2, 0.57208227877891731407e+2, -0.39688862997540877339e+2, 0.10152522233806463645e+2, -0.69674573447350646411e+0 }; static double q[] = { -0.16421096714498560795e+3, 0.41714430248260412556e+3, -0.38186303361750149284e+3, 0.15095270841030604719e+3, -0.23823859153670238830e+2, 1.0 }; if (negative) { x = -x; } if (x > 0.5) { i = 1; if (x > 1) { errno = EDOM; return 0; } g = 0.5 - 0.5 * x; x = - sqrt(g); x += x; } else { /* ??? avoid underflow ??? */ i = 0; g = x * x; } x += x * g * POLYNOM4(g, p) / POLYNOM5(g, q); if (cosfl) { if (! negative) x = -x; } if ((cosfl == 0) == (i == 1)) { x = (x + M_PI_4) + M_PI_4; } else if (cosfl && negative && i == 1) { x = (x + M_PI_2) + M_PI_2; } if (! cosfl && negative) x = -x; return x; } double asin(x) double x; { return asin_acos(x, 0); } double acos(x) double x; { return asin_acos(x, 1); }