#include #include double floor(double x) { return (double) (x < 0.f ? ((int) x == x ? x : (((int) x) - 1)) : ((int) x)); } #define MAXEXP 2031 /* (MAX_EXP * 16) - 1 */ #define MINEXP -2047 /* (MIN_EXP * 16) - 1 */ #define HUGE MAXFLOAT static const double a1[] = { 1.0, 0.95760328069857365, 0.91700404320467123, 0.87812608018664974, 0.84089641525371454, 0.80524516597462716, 0.77110541270397041, 0.73841307296974966, 0.70710678118654752, 0.67712777346844637, 0.64841977732550483, 0.62092890603674203, 0.59460355750136054, 0.56939431737834583, 0.54525386633262883, 0.52213689121370692, 0.50000000000000000 }; static const double a2[] = { 0.24114209503420288E-17, 0.92291566937243079E-18, -0.15241915231122319E-17, -0.35421849765286817E-17, -0.31286215245415074E-17, -0.44654376565694490E-17, 0.29306999570789681E-17, 0.11260851040933474E-17 }; static const double p1 = 0.833333333333332114e-1, p2 = 0.125000000005037992e-1, p3 = 0.223214212859242590e-2, p4 = 0.434457756721631196e-3, q1 = 0.693147180559945296e0, q2 = 0.240226506959095371e0, q3 = 0.555041086640855953e-1, q4 = 0.961812905951724170e-2, q5 = 0.133335413135857847e-2, q6 = 0.154002904409897646e-3, q7 = 0.149288526805956082e-4, k = 0.442695040888963407; double pow(double x, double y) { double frexp(), g, ldexp(), r, u1, u2, v, w, w1, w2, y1, y2, z; int iw1, m, p; bool flipsignal = false; if (y == 0.0) return (1.0); if (x <= 0.0) { if (x == 0.0) { if (y > 0.0) return 0.0; //cmemsg(FP_POWO, &y); //return(HUGE); } else { //cmemsg(FP_POWN, &x); x = -x; if (y != (int) y) { // if y is fractional, then this woud result in a complex number return NAN; } flipsignal = ((int) y) & 1; } } g = frexp(x, &m); p = 0; if (g <= a1[8]) p = 8; if (g <= a1[p + 4]) p += 4; if (g <= a1[p + 2]) p += 2; p++; z = ((g - a1[p]) - a2[p / 2]) / (g + a1[p]); z += z; v = z * z; r = (((p4 * v + p3) * v + p2) * v + p1) * v * z; r += k * r; u2 = (r + z * k) + z; u1 = 0.0625 * (double)(16 * m - p); y1 = 0.0625 * (double)((int)(16.0 * y)); y2 = y - y1; w = u2 * y + u1 * y2; w1 = 0.0625 * (double)((int)(16.0 * w)); w2 = w - w1; w = w1 + u1 * y1; w1 = 0.0625 * (double)((int)(16.0 * w)); w2 += (w - w1); w = 0.0625 * (double)((int)(16.0 * w2)); iw1 = 16.0 * (w1 + w); w2 -= w; while (w2 > 0.0) { iw1++; w2 -= 0.0625; } if (iw1 > MAXEXP) { //cmemsg(FP_POWO, &y); return (HUGE); } if (iw1 < MINEXP) { //cmemsg(FP_POWU, &y); return (0.0); } m = iw1 / 16; if (iw1 >= 0) m++; p = 16 * m - iw1; z = ((((((q7 * w2 + q6) * w2 + q5) * w2 + q4) * w2 + q3) * w2 + q2) * w2 + q1) * w2; z = a1[p] + a1[p] * z; double res = ldexp(z, m); return flipsignal ? -res : res; }