1*7c3d14c8STreehugger Robot /* This file is distributed under the University of Illinois Open Source 2*7c3d14c8STreehugger Robot * License. See LICENSE.TXT for details. 3*7c3d14c8STreehugger Robot */ 4*7c3d14c8STreehugger Robot 5*7c3d14c8STreehugger Robot /* int64_t __fixunstfdi(long double x); 6*7c3d14c8STreehugger Robot * This file implements the PowerPC 128-bit double-double -> int64_t conversion 7*7c3d14c8STreehugger Robot */ 8*7c3d14c8STreehugger Robot 9*7c3d14c8STreehugger Robot #include "DD.h" 10*7c3d14c8STreehugger Robot #include "../int_math.h" 11*7c3d14c8STreehugger Robot __fixtfdi(long double input)12*7c3d14c8STreehugger Robotuint64_t __fixtfdi(long double input) 13*7c3d14c8STreehugger Robot { 14*7c3d14c8STreehugger Robot const DD x = { .ld = input }; 15*7c3d14c8STreehugger Robot const doublebits hibits = { .d = x.s.hi }; 16*7c3d14c8STreehugger Robot 17*7c3d14c8STreehugger Robot const uint32_t absHighWord = (uint32_t)(hibits.x >> 32) & UINT32_C(0x7fffffff); 18*7c3d14c8STreehugger Robot const uint32_t absHighWordMinusOne = absHighWord - UINT32_C(0x3ff00000); 19*7c3d14c8STreehugger Robot 20*7c3d14c8STreehugger Robot /* If (1.0 - tiny) <= input < 0x1.0p63: */ 21*7c3d14c8STreehugger Robot if (UINT32_C(0x03f00000) > absHighWordMinusOne) 22*7c3d14c8STreehugger Robot { 23*7c3d14c8STreehugger Robot /* Do an unsigned conversion of the absolute value, then restore the sign. */ 24*7c3d14c8STreehugger Robot const int unbiasedHeadExponent = absHighWordMinusOne >> 20; 25*7c3d14c8STreehugger Robot 26*7c3d14c8STreehugger Robot int64_t result = hibits.x & INT64_C(0x000fffffffffffff); /* mantissa(hi) */ 27*7c3d14c8STreehugger Robot result |= INT64_C(0x0010000000000000); /* matissa(hi) with implicit bit */ 28*7c3d14c8STreehugger Robot result <<= 10; /* mantissa(hi) with one zero preceding bit. */ 29*7c3d14c8STreehugger Robot 30*7c3d14c8STreehugger Robot const int64_t hiNegationMask = ((int64_t)(hibits.x)) >> 63; 31*7c3d14c8STreehugger Robot 32*7c3d14c8STreehugger Robot /* If the tail is non-zero, we need to patch in the tail bits. */ 33*7c3d14c8STreehugger Robot if (0.0 != x.s.lo) 34*7c3d14c8STreehugger Robot { 35*7c3d14c8STreehugger Robot const doublebits lobits = { .d = x.s.lo }; 36*7c3d14c8STreehugger Robot int64_t tailMantissa = lobits.x & INT64_C(0x000fffffffffffff); 37*7c3d14c8STreehugger Robot tailMantissa |= INT64_C(0x0010000000000000); 38*7c3d14c8STreehugger Robot 39*7c3d14c8STreehugger Robot /* At this point we have the mantissa of |tail| */ 40*7c3d14c8STreehugger Robot /* We need to negate it if head and tail have different signs. */ 41*7c3d14c8STreehugger Robot const int64_t loNegationMask = ((int64_t)(lobits.x)) >> 63; 42*7c3d14c8STreehugger Robot const int64_t negationMask = loNegationMask ^ hiNegationMask; 43*7c3d14c8STreehugger Robot tailMantissa = (tailMantissa ^ negationMask) - negationMask; 44*7c3d14c8STreehugger Robot 45*7c3d14c8STreehugger Robot /* Now we have the mantissa of tail as a signed 2s-complement integer */ 46*7c3d14c8STreehugger Robot 47*7c3d14c8STreehugger Robot const int biasedTailExponent = (int)(lobits.x >> 52) & 0x7ff; 48*7c3d14c8STreehugger Robot 49*7c3d14c8STreehugger Robot /* Shift the tail mantissa into the right position, accounting for the 50*7c3d14c8STreehugger Robot * bias of 10 that we shifted the head mantissa by. 51*7c3d14c8STreehugger Robot */ 52*7c3d14c8STreehugger Robot tailMantissa >>= (unbiasedHeadExponent - (biasedTailExponent - (1023 - 10))); 53*7c3d14c8STreehugger Robot 54*7c3d14c8STreehugger Robot result += tailMantissa; 55*7c3d14c8STreehugger Robot } 56*7c3d14c8STreehugger Robot 57*7c3d14c8STreehugger Robot result >>= (62 - unbiasedHeadExponent); 58*7c3d14c8STreehugger Robot 59*7c3d14c8STreehugger Robot /* Restore the sign of the result and return */ 60*7c3d14c8STreehugger Robot result = (result ^ hiNegationMask) - hiNegationMask; 61*7c3d14c8STreehugger Robot return result; 62*7c3d14c8STreehugger Robot 63*7c3d14c8STreehugger Robot } 64*7c3d14c8STreehugger Robot 65*7c3d14c8STreehugger Robot /* Edge cases handled here: */ 66*7c3d14c8STreehugger Robot 67*7c3d14c8STreehugger Robot /* |x| < 1, result is zero. */ 68*7c3d14c8STreehugger Robot if (1.0 > crt_fabs(x.s.hi)) 69*7c3d14c8STreehugger Robot return INT64_C(0); 70*7c3d14c8STreehugger Robot 71*7c3d14c8STreehugger Robot /* x very close to INT64_MIN, care must be taken to see which side we are on. */ 72*7c3d14c8STreehugger Robot if (x.s.hi == -0x1.0p63) { 73*7c3d14c8STreehugger Robot 74*7c3d14c8STreehugger Robot int64_t result = INT64_MIN; 75*7c3d14c8STreehugger Robot 76*7c3d14c8STreehugger Robot if (0.0 < x.s.lo) 77*7c3d14c8STreehugger Robot { 78*7c3d14c8STreehugger Robot /* If the tail is positive, the correct result is something other than INT64_MIN. 79*7c3d14c8STreehugger Robot * we'll need to figure out what it is. 80*7c3d14c8STreehugger Robot */ 81*7c3d14c8STreehugger Robot 82*7c3d14c8STreehugger Robot const doublebits lobits = { .d = x.s.lo }; 83*7c3d14c8STreehugger Robot int64_t tailMantissa = lobits.x & INT64_C(0x000fffffffffffff); 84*7c3d14c8STreehugger Robot tailMantissa |= INT64_C(0x0010000000000000); 85*7c3d14c8STreehugger Robot 86*7c3d14c8STreehugger Robot /* Now we negate the tailMantissa */ 87*7c3d14c8STreehugger Robot tailMantissa = (tailMantissa ^ INT64_C(-1)) + INT64_C(1); 88*7c3d14c8STreehugger Robot 89*7c3d14c8STreehugger Robot /* And shift it by the appropriate amount */ 90*7c3d14c8STreehugger Robot const int biasedTailExponent = (int)(lobits.x >> 52) & 0x7ff; 91*7c3d14c8STreehugger Robot tailMantissa >>= 1075 - biasedTailExponent; 92*7c3d14c8STreehugger Robot 93*7c3d14c8STreehugger Robot result -= tailMantissa; 94*7c3d14c8STreehugger Robot } 95*7c3d14c8STreehugger Robot 96*7c3d14c8STreehugger Robot return result; 97*7c3d14c8STreehugger Robot } 98*7c3d14c8STreehugger Robot 99*7c3d14c8STreehugger Robot /* Signed overflows, infinities, and NaNs */ 100*7c3d14c8STreehugger Robot if (x.s.hi > 0.0) 101*7c3d14c8STreehugger Robot return INT64_MAX; 102*7c3d14c8STreehugger Robot else 103*7c3d14c8STreehugger Robot return INT64_MIN; 104*7c3d14c8STreehugger Robot } 105