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- // floor(x)
- // Return x rounded toward -inf to integral value
- // Method: Bit twiddling.
- // Exception: Inexact flag raised if x not equal to floor(x)
- static const double huge = 1.0e300;
- double floor(double x)
- {
- int i0,i1,j0;
- unsigned int i,j;
- i0 = *(1 + (int*)&x); // __HI(x)
- i1 = *(int*)&x; // __LO(x)
- j0 = ((i0 >> 20) & 0x7ff) - 0x3ff;
- if (j0 < 20) {
- if (j0 < 0) { // raise inexact if x != 0;
- if (huge + x > 0.0) { // return 0 * sign(x) if |x| < 1
- if (i0 >= 0) {i0 = i1 = 0;}
- else if (((i0 & 0x7fffffff) | i1) != 0)
- {i0 = 0xbff00000; i1=0;}
- }
- }
- else {
- i = (0x000fffff) >> j0;
- if (((i0 & i) | i1) == 0) return x; // x is integral
- if (huge + x > 0.0) { // raise inexact flag
- if (i0 < 0) {
- i0 += (0x00100000) >> j0;
- i0 &= (~i);
- i1=0;
- }
- }
- }
- } else if (j0 > 51) {
- if (j0 == 0x400) return x + x; // inf or NaN
- else return x; // x is integral
- }
- else {
- i = ((unsigned)(0xffffffff)) >> (j0 - 20);
- if ((i1 & i) == 0) return x; // x is integral
- if (huge + x > 0.0) { // raise inexact flag
- if (i0 < 0) {
- if (j0 == 20) i0 += 1;
- else {
- j = i1 + (1 << (52 - j0));
- if (j < i1) i0 += 1 ; // got a carry
- i1 = j;
- }
- }
- i1 &= (~i);
- }
- }
- *(1 + (int*)&x) = i0;
- *(int*)&x = i1;
- return x;
- }
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