#include // for scalbn, double_t #include // for uint64_t double scalbn(double x, int n) { union { double f; uint64_t i; } u; double_t y = x; if (n > 1023) { y *= 0x1p1023; n -= 1023; if (n > 1023) { y *= 0x1p1023; n -= 1023; if (n > 1023) n = 1023; } } else if (n < -1022) { /* make sure final n < -53 to avoid double rounding in the subnormal range */ y *= 0x1p-1022 * 0x1p53; n += 1022 - 53; if (n < -1022) { y *= 0x1p-1022 * 0x1p53; n += 1022 - 53; if (n < -1022) n = -1022; } } u.i = (uint64_t)(0x3ff + n) << 52; x = y * u.f; return x; }