b1 = b01 - 1000 * b0;
dcoeff = b2d[b2] | b2d2[b1];
if (b0 >= 8) { /* is b0 8 or 9? */
- res = sign | ((0x600 | ((exp >> 6) << 7) |
+ res = sign | ((0x600 | ((exp >> 6) << 7) |
((b0 & 1) << 6) | (exp & 0x3f)) << 20) | dcoeff;
} else { /* else b0 is 0..7 */
- res = sign | ((((exp >> 6) << 9) | (b0 << 6) |
+ res = sign | ((((exp >> 6) << 9) | (b0 << 6) |
(exp & 0x3f)) << 20) | dcoeff;
}
*pres = res;
if ((x & 0x78000000) == 0x78000000) {
*pres = x;
return;
- } else { /* normal number */
- if ((x & 0x60000000) == 0x60000000) { /* G0..G1 = 11 -> d0 = 8 + G4 */
- d0 = d2b3[((x >> 26) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */
- exp = (x >> 27) & 3; /* exp leading bits are G2..G3 */
- } else {
- d0 = d2b3[(x >> 26) & 0x7];
- exp = (x >> 29) & 3; /* exp loading bits are G0..G1 */
- }
- d1 = d2b2[(trailing >> 10) & 0x3ff];
- d2 = d2b[(trailing) & 0x3ff];
- bcoeff = d2 + d1 + d0;
- exp = (exp << 6) + ((x >> 20) & 0x3f);
- if (bcoeff < (1 << 23)) {
- r = exp;
- r <<= 23;
- r |= (bcoeff | sign);
- } else {
- r = exp;
- r <<= 21;
- r |= (sign | 0x60000000ul);
- /* add coeff, without leading bits */
- r |= (((unsigned int) bcoeff) & 0x1fffff);
- }
+ }
+ /* normal number */
+ if ((x & 0x60000000) == 0x60000000) { /* G0..G1 = 11 -> d0 = 8 + G4 */
+ d0 = d2b3[((x >> 26) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */
+ exp = (x >> 27) & 3; /* exp leading bits are G2..G3 */
+ } else {
+ d0 = d2b3[(x >> 26) & 0x7];
+ exp = (x >> 29) & 3; /* exp loading bits are G0..G1 */
+ }
+ d1 = d2b2[(trailing >> 10) & 0x3ff];
+ d2 = d2b[(trailing) & 0x3ff];
+ bcoeff = d2 + d1 + d0;
+ exp = (exp << 6) + ((x >> 20) & 0x3f);
+ if (bcoeff < (1 << 23)) {
+ r = exp;
+ r <<= 23;
+ r |= (bcoeff | sign);
+ } else {
+ r = exp;
+ r <<= 21;
+ r |= (sign | 0x60000000ul);
+ /* add coeff, without leading bits */
+ r |= (((unsigned int) bcoeff) & 0x1fffff);
}
*pres = r;
}
if ((comb & 0xf00) == 0xf00) {
*pres = x;
return;
- } else { /* Normal number */
- if ((comb & 0xc00) == 0xc00) { /* G0..G1 = 11 -> exp is G2..G11 */
- exp = (comb) & 0x3ff;
- bcoeff = (x & 0x0007ffffffffffffull) | 0x0020000000000000ull;
- } else {
- exp = (comb >> 2) & 0x3ff;
- bcoeff = (x & 0x001fffffffffffffull);
- }
- D61 = 2305843009ull; /* Floor(2^61 / 10^9) */
- /* Multiply the binary coefficient by ceil(2^64 / 1000), and take the upper
- 64-bits in order to compute a division by 1000. */
- yhi = (D61 * (UINT64)(bcoeff >> (UINT64)27)) >> (UINT64)34;
- ylo = bcoeff - 1000000000ull * yhi;
- if (ylo >= 1000000000) {
- ylo = ylo - 1000000000;
- yhi = yhi + 1;
- }
- d103 = 0x4189374c;
- B34 = ((UINT64) ylo * d103) >> (32 + 8);
- B01 = ((UINT64) yhi * d103) >> (32 + 8);
- b5 = ylo - B34 * 1000;
- b2 = yhi - B01 * 1000;
- b3 = ((UINT64) B34 * d103) >> (32 + 8);
- b0 = ((UINT64) B01 * d103) >> (32 + 8);
- b4 = (unsigned int) B34 - (unsigned int) b3 *1000;
- b1 = (unsigned int) B01 - (unsigned int) dm103[b0];
- dcoeff = b2d[b5] | b2d2[b4] | b2d3[b3] | b2d4[b2] | b2d5[b1];
- if (b0 >= 8) /* is b0 8 or 9? */
- res = sign | ((0x1800 | ((exp >> 8) << 9) | ((b0 & 1) << 8) |
- (exp & 0xff)) << 50) | dcoeff;
- else /* else b0 is 0..7 */
- res = sign | ((((exp >> 8) << 11) | (b0 << 8) |
- (exp & 0xff)) << 50) | dcoeff;
}
+ /* Normal number */
+ if ((comb & 0xc00) == 0xc00) { /* G0..G1 = 11 -> exp is G2..G11 */
+ exp = (comb) & 0x3ff;
+ bcoeff = (x & 0x0007ffffffffffffull) | 0x0020000000000000ull;
+ } else {
+ exp = (comb >> 2) & 0x3ff;
+ bcoeff = (x & 0x001fffffffffffffull);
+ }
+ D61 = 2305843009ull; /* Floor(2^61 / 10^9) */
+ /* Multiply the binary coefficient by ceil(2^64 / 1000), and take the upper
+ 64-bits in order to compute a division by 1000. */
+ yhi = (D61 * (UINT64)(bcoeff >> (UINT64)27)) >> (UINT64)34;
+ ylo = bcoeff - 1000000000ull * yhi;
+ if (ylo >= 1000000000) {
+ ylo = ylo - 1000000000;
+ yhi = yhi + 1;
+ }
+ d103 = 0x4189374c;
+ B34 = ((UINT64) ylo * d103) >> (32 + 8);
+ B01 = ((UINT64) yhi * d103) >> (32 + 8);
+ b5 = ylo - B34 * 1000;
+ b2 = yhi - B01 * 1000;
+ b3 = ((UINT64) B34 * d103) >> (32 + 8);
+ b0 = ((UINT64) B01 * d103) >> (32 + 8);
+ b4 = (unsigned int) B34 - (unsigned int) b3 *1000;
+ b1 = (unsigned int) B01 - (unsigned int) dm103[b0];
+ dcoeff = b2d[b5] | b2d2[b4] | b2d3[b3] | b2d4[b2] | b2d5[b1];
+ if (b0 >= 8) /* is b0 8 or 9? */
+ res = sign | ((0x1800 | ((exp >> 8) << 9) | ((b0 & 1) << 8) |
+ (exp & 0xff)) << 50) | dcoeff;
+ else /* else b0 is 0..7 */
+ res = sign | ((((exp >> 8) << 11) | (b0 << 8) |
+ (exp & 0xff)) << 50) | dcoeff;
*pres = res;
}
comb = (x & 0x7ffc000000000000ull) >> 50;
trailing = (x & 0x0003ffffffffffffull);
if ((comb & 0x1e00) == 0x1e00) {
- if ((comb & 0x1f00) == 0x1f00) { /* G0..G4 = 11111 -> NaN */
- if (comb & 0x0100) { /* G5 = 1 -> sNaN */
- *pres = x;
- } else { /* G5 = 0 -> qNaN */
- *pres = x;
- }
- } else { /*if ((comb & 0x1e00) == 0x1e00); G0..G4 = 11110 -> INF */
- *pres = x;
- }
+ *pres = x;
return;
- } else { /* normal number */
- if ((comb & 0x1800) == 0x1800) { /* G0..G1 = 11 -> d0 = 8 + G4 */
- d0 = d2b6[((comb >> 8) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */
- exp = (comb & 0x600) >> 1; /* exp = (comb & 0x0400 ? 1 : 0) * 0x200 +
- (comb & 0x0200 ? 1 : 0) * 0x100; exp leading bits are G2..G3 */
- } else {
- d0 = d2b6[(comb >> 8) & 0x7];
- exp = (comb & 0x1800) >> 3; /* exp = (comb & 0x1000 ? 1 : 0) * 0x200 +
- (comb & 0x0800 ? 1 : 0) * 0x100; exp loading bits are G0..G1 */
- }
- d1 = d2b5[(trailing >> 40) & 0x3ff];
- d2 = d2b4[(trailing >> 30) & 0x3ff];
- d3 = d2b3[(trailing >> 20) & 0x3ff];
- d4 = d2b2[(trailing >> 10) & 0x3ff];
- d5 = d2b[(trailing) & 0x3ff];
- bcoeff = (d5 + d4 + d3) + d2 + d1 + d0;
- exp += (comb & 0xff);
- mask = 1;
- mask <<= 53;
- if (bcoeff < mask) { /* check whether coefficient fits in 10*5+3 bits */
- res = exp;
- res <<= 53;
- res |= (bcoeff | sign);
- *pres = res;
- return;
- }
- /* special format */
- res = (exp << 51) | (sign | 0x6000000000000000ull);
- /* add coeff, without leading bits */
- mask = (mask >> 2) - 1;
- bcoeff &= mask;
- res |= bcoeff;
}
+ /* normal number */
+ if ((comb & 0x1800) == 0x1800) { /* G0..G1 = 11 -> d0 = 8 + G4 */
+ d0 = d2b6[((comb >> 8) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */
+ exp = (comb & 0x600) >> 1; /* exp = (comb & 0x0400 ? 1 : 0) * 0x200 +
+ (comb & 0x0200 ? 1 : 0) * 0x100; exp leading bits are G2..G3 */
+ } else {
+ d0 = d2b6[(comb >> 8) & 0x7];
+ exp = (comb & 0x1800) >> 3; /* exp = (comb & 0x1000 ? 1 : 0) * 0x200 +
+ (comb & 0x0800 ? 1 : 0) * 0x100; exp loading bits are G0..G1 */
+ }
+ d1 = d2b5[(trailing >> 40) & 0x3ff];
+ d2 = d2b4[(trailing >> 30) & 0x3ff];
+ d3 = d2b3[(trailing >> 20) & 0x3ff];
+ d4 = d2b2[(trailing >> 10) & 0x3ff];
+ d5 = d2b[(trailing) & 0x3ff];
+ bcoeff = (d5 + d4 + d3) + d2 + d1 + d0;
+ exp += (comb & 0xff);
+ mask = 1;
+ mask <<= 53;
+ if (bcoeff < mask) { /* check whether coefficient fits in 10*5+3 bits */
+ res = exp;
+ res <<= 53;
+ res |= (bcoeff | sign);
+ *pres = res;
+ return;
+ }
+ /* special format */
+ res = (exp << 51) | (sign | 0x6000000000000000ull);
+ /* add coeff, without leading bits */
+ mask = (mask >> 2) - 1;
+ bcoeff &= mask;
+ res |= bcoeff;
*pres = res;
}
comb = (x.w[1] /*& 0x7fffc00000000000ull */ ) >> 46;
exp = 0;
if ((comb & 0x1e000) == 0x1e000) {
- if ((comb & 0x1f000) == 0x1f000) { /* G0..G4 = 11111 -> NaN */
- if (comb & 0x01000) { /* G5 = 1 -> sNaN */
- res = x;
- } else { /* G5 = 0 -> qNaN */
- res = x;
- }
- } else { /* G0..G4 = 11110 -> INF */
- res = x;
- }
+ res = x;
} else { /* normal number */
exp = ((x.w[1] & 0x7fff000000000000ull) >> 49) & 0x3fff;
bcoeff.w[1] = (x.w[1] & 0x0001ffffffffffffull);
BLL32 -= (unsigned int) k9 *1000000;
k10 = ((UINT64) BLL32 * d103) >> (32 + 8);
k11 = BLL32 - (unsigned int) k10 *1000;
- dcoeff.w[1] = (b2d[k5] >> 4) | (b2d[k4] << 6) | (b2d[k3] << 16) |
- (b2d[k2] << 26) | (b2d[k1] << 36);
- dcoeff.w[0] = b2d[k11] | (b2d[k10] << 10) | (b2d[k9] << 20) |
- (b2d[k8] << 30) | (b2d[k7] << 40) | (b2d[k6] << 50) | (b2d[k5] << 60);
+ dcoeff.w[1] = (b2d[k5] >> 4) | (b2d[k4] << 6) | (b2d[k3] << 16) |
+ (b2d[k2] << 26) | (b2d[k1] << 36);
+ dcoeff.w[0] = b2d[k11] | (b2d[k10] << 10) | (b2d[k9] << 20) |
+ (b2d[k8] << 30) | (b2d[k7] << 40) | (b2d[k6] << 50) | (b2d[k5] << 60);
res.w[0] = dcoeff.w[0];
if (k0 >= 8) {
- res.w[1] = sign.w[1] | ((0x18000 | ((exp >> 12) << 13) |
+ res.w[1] = sign.w[1] | ((0x18000 | ((exp >> 12) << 13) |
((k0 & 1) << 12) | (exp & 0xfff)) << 46) | dcoeff.w[1];
} else {
- res.w[1] = sign.w[1] | ((((exp >> 12) << 15) | (k0 << 12) |
+ res.w[1] = sign.w[1] | ((((exp >> 12) << 15) | (k0 << 12) |
(exp & 0xfff)) << 46) | dcoeff.w[1];
}
}
trailing.w[1] = x.w[1];
trailing.w[0] = x.w[0];
if ((comb & 0x1e000) == 0x1e000) {
- if ((comb & 0x1f000) == 0x1f000) { /* G0..G4 = 11111 -> NaN */
- if (comb & 0x01000) { /* G5 = 1 -> sNaN */
- *pres = x;
- } else { /* G5 = 0 -> qNaN */
- *pres = x;
- }
- } else { /* G0..G4 = 11110 -> INF */
*pres = x;
- }
- return;
- } else { /* Normal number */
- if ((comb & 0x18000) == 0x18000) { /* G0..G1 = 11 -> d0 = 8 + G4 */
- d0 = d2b6[8 + ((comb & 0x01000) >> 12)];
- exp = (comb & 0x06000) >> 1; /* exp leading bits are G2..G3 */
- } else {
- d0 = d2b6[((comb & 0x07000) >> 12)];
- exp = (comb & 0x18000) >> 3; /* exp loading bits are G0..G1 */
- }
- d11 = d2b[(trailing.w[0]) & 0x3ff];
- d10 = d2b2[(trailing.w[0] >> 10) & 0x3ff];
- d9 = d2b3[(trailing.w[0] >> 20) & 0x3ff];
- d8 = d2b4[(trailing.w[0] >> 30) & 0x3ff];
- d7 = d2b5[(trailing.w[0] >> 40) & 0x3ff];
- d6 = d2b6[(trailing.w[0] >> 50) & 0x3ff];
- d5 = d2b[(trailing.w[0] >> 60) | ((trailing.w[1] & 0x3f) << 4)];
- d4 = d2b2[(trailing.w[1] >> 6) & 0x3ff];
- d3 = d2b3[(trailing.w[1] >> 16) & 0x3ff];
- d2 = d2b4[(trailing.w[1] >> 26) & 0x3ff];
- d1 = d2b5[(trailing.w[1] >> 36) & 0x3ff];
- tl = d11 + d10 + d9 + d8 + d7 + d6;
- th = d5 + d4 + d3 + d2 + d1 + d0;
- __mul_64x64_to_128 (bcoeff, th, 1000000000000000000ull);
- __add_128_64 (bcoeff, bcoeff, tl);
- exp += (comb & 0xfff);
- res.w[0] = bcoeff.w[0];
- res.w[1] = (exp << 49) | sign.w[1] | bcoeff.w[1];
+ return;
+ }
+ if ((comb & 0x18000) == 0x18000) { /* G0..G1 = 11 -> d0 = 8 + G4 */
+ d0 = d2b6[8 + ((comb & 0x01000) >> 12)];
+ exp = (comb & 0x06000) >> 1; /* exp leading bits are G2..G3 */
+ } else {
+ d0 = d2b6[((comb & 0x07000) >> 12)];
+ exp = (comb & 0x18000) >> 3; /* exp loading bits are G0..G1 */
}
+ d11 = d2b[(trailing.w[0]) & 0x3ff];
+ d10 = d2b2[(trailing.w[0] >> 10) & 0x3ff];
+ d9 = d2b3[(trailing.w[0] >> 20) & 0x3ff];
+ d8 = d2b4[(trailing.w[0] >> 30) & 0x3ff];
+ d7 = d2b5[(trailing.w[0] >> 40) & 0x3ff];
+ d6 = d2b6[(trailing.w[0] >> 50) & 0x3ff];
+ d5 = d2b[(trailing.w[0] >> 60) | ((trailing.w[1] & 0x3f) << 4)];
+ d4 = d2b2[(trailing.w[1] >> 6) & 0x3ff];
+ d3 = d2b3[(trailing.w[1] >> 16) & 0x3ff];
+ d2 = d2b4[(trailing.w[1] >> 26) & 0x3ff];
+ d1 = d2b5[(trailing.w[1] >> 36) & 0x3ff];
+ tl = d11 + d10 + d9 + d8 + d7 + d6;
+ th = d5 + d4 + d3 + d2 + d1 + d0;
+ __mul_64x64_to_128 (bcoeff, th, 1000000000000000000ull);
+ __add_128_64 (bcoeff, bcoeff, tl);
+ exp += (comb & 0xfff);
+ res.w[0] = bcoeff.w[0];
+ res.w[1] = (exp << 49) | sign.w[1] | bcoeff.w[1];
*pres = res;
}