| //===-- Range reduction for double precision sin/cos/tan w/ FMA -*- C++ -*-===// |
| // |
| // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. |
| // See https://llvm.org/LICENSE.txt for license information. |
| // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception |
| // |
| //===----------------------------------------------------------------------===// |
| |
| #ifndef LLVM_LIBC_SRC_MATH_GENERIC_RANGE_REDUCTION_DOUBLE_FMA_H |
| #define LLVM_LIBC_SRC_MATH_GENERIC_RANGE_REDUCTION_DOUBLE_FMA_H |
| |
| #include "src/__support/FPUtil/FPBits.h" |
| #include "src/__support/FPUtil/double_double.h" |
| #include "src/__support/FPUtil/multiply_add.h" |
| #include "src/__support/FPUtil/nearest_integer.h" |
| #include "src/__support/common.h" |
| #include "src/__support/macros/config.h" |
| #include "src/__support/macros/optimization.h" |
| #include "src/math/generic/range_reduction_double_common.h" |
| |
| namespace LIBC_NAMESPACE_DECL { |
| |
| using LIBC_NAMESPACE::fputil::DoubleDouble; |
| |
| LIBC_INLINE unsigned LargeRangeReduction::fast(double x, DoubleDouble &u) { |
| using FPBits = typename fputil::FPBits<double>; |
| FPBits xbits(x); |
| |
| int x_e_m62 = xbits.get_biased_exponent() - (FPBits::EXP_BIAS + 62); |
| idx = static_cast<unsigned>((x_e_m62 >> 4) + 3); |
| // Scale x down by 2^(-(16 * (idx - 3)) |
| xbits.set_biased_exponent((x_e_m62 & 15) + FPBits::EXP_BIAS + 62); |
| // 2^62 <= |x_reduced| < 2^(62 + 16) = 2^78 |
| x_reduced = xbits.get_val(); |
| // x * c_hi = ph.hi + ph.lo exactly. |
| DoubleDouble ph = |
| fputil::exact_mult<SPLIT>(x_reduced, ONE_TWENTY_EIGHT_OVER_PI[idx][0]); |
| // x * c_mid = pm.hi + pm.lo exactly. |
| DoubleDouble pm = |
| fputil::exact_mult<SPLIT>(x_reduced, ONE_TWENTY_EIGHT_OVER_PI[idx][1]); |
| // x * c_lo = pl.hi + pl.lo exactly. |
| DoubleDouble pl = |
| fputil::exact_mult<SPLIT>(x_reduced, ONE_TWENTY_EIGHT_OVER_PI[idx][2]); |
| // Extract integral parts and fractional parts of (ph.lo + pm.hi). |
| double sum_hi = ph.lo + pm.hi; |
| double kd = fputil::nearest_integer(sum_hi); |
| |
| // x * 128/pi mod 1 ~ y_hi + y_mid + y_lo |
| y_hi = (ph.lo - kd) + pm.hi; // Exact |
| y_mid = fputil::exact_add(pm.lo, pl.hi); |
| y_lo = pl.lo; |
| |
| // y_l = x * c_lo_2 + pl.lo |
| double y_l = |
| fputil::multiply_add(x_reduced, ONE_TWENTY_EIGHT_OVER_PI[idx][3], y_lo); |
| DoubleDouble y = fputil::exact_add(y_hi, y_mid.hi); |
| y.lo += (y_mid.lo + y_l); |
| |
| // Digits of pi/128, generated by Sollya with: |
| // > a = round(pi/128, D, RN); |
| // > b = round(pi/128 - a, D, RN); |
| constexpr DoubleDouble PI_OVER_128_DD = {0x1.1a62633145c07p-60, |
| 0x1.921fb54442d18p-6}; |
| |
| // Error bound: with {a} denote the fractional part of a, i.e.: |
| // {a} = a - round(a) |
| // Then, |
| // | {x * 128/pi} - (y_hi + y_lo) | <= ulp(ulp(y_hi)) <= 2^-105 |
| // | {x mod pi/128} - (u.hi + u.lo) | < 2 * 2^-6 * 2^-105 = 2^-110 |
| u = fputil::quick_mult<SPLIT>(y, PI_OVER_128_DD); |
| |
| return static_cast<unsigned>(static_cast<int64_t>(kd)); |
| } |
| |
| // Lookup table for sin(k * pi / 128) with k = 0, ..., 255. |
| // Table is generated with Sollya as follow: |
| // > display = hexadecimal; |
| // > for k from 0 to 255 do { |
| // a = D(sin(k * pi/128)); }; |
| // b = D(sin(k * pi/128) - a); |
| // print("{", b, ",", a, "},"); |
| // }; |
| LIBC_INLINE constexpr DoubleDouble SIN_K_PI_OVER_128[256] = { |
| {0, 0}, |
| {-0x1.b1d63091a013p-64, 0x1.92155f7a3667ep-6}, |
| {-0x1.912bd0d569a9p-61, 0x1.91f65f10dd814p-5}, |
| {-0x1.9a088a8bf6b2cp-59, 0x1.2d52092ce19f6p-4}, |
| {-0x1.e2718d26ed688p-60, 0x1.917a6bc29b42cp-4}, |
| {0x1.a2704729ae56dp-59, 0x1.f564e56a9730ep-4}, |
| {0x1.13000a89a11ep-58, 0x1.2c8106e8e613ap-3}, |
| {0x1.531ff779ddac6p-57, 0x1.5e214448b3fc6p-3}, |
| {-0x1.26d19b9ff8d82p-57, 0x1.8f8b83c69a60bp-3}, |
| {-0x1.af1439e521935p-62, 0x1.c0b826a7e4f63p-3}, |
| {-0x1.42deef11da2c4p-57, 0x1.f19f97b215f1bp-3}, |
| {0x1.824c20ab7aa9ap-56, 0x1.111d262b1f677p-2}, |
| {-0x1.5d28da2c4612dp-56, 0x1.294062ed59f06p-2}, |
| {0x1.0c97c4afa2518p-56, 0x1.4135c94176601p-2}, |
| {-0x1.efdc0d58cf62p-62, 0x1.58f9a75ab1fddp-2}, |
| {-0x1.44b19e0864c5dp-56, 0x1.7088530fa459fp-2}, |
| {-0x1.72cedd3d5a61p-57, 0x1.87de2a6aea963p-2}, |
| {0x1.6da81290bdbabp-57, 0x1.9ef7943a8ed8ap-2}, |
| {0x1.5b362cb974183p-57, 0x1.b5d1009e15ccp-2}, |
| {0x1.6850e59c37f8fp-58, 0x1.cc66e9931c45ep-2}, |
| {0x1.e0d891d3c6841p-58, 0x1.e2b5d3806f63bp-2}, |
| {-0x1.2ec1fc1b776b8p-60, 0x1.f8ba4dbf89abap-2}, |
| {-0x1.a5a014347406cp-55, 0x1.073879922ffeep-1}, |
| {-0x1.ef23b69abe4f1p-55, 0x1.11eb3541b4b23p-1}, |
| {0x1.b25dd267f66p-55, 0x1.1c73b39ae68c8p-1}, |
| {-0x1.5da743ef3770cp-55, 0x1.26d054cdd12dfp-1}, |
| {-0x1.efcc626f74a6fp-57, 0x1.30ff7fce17035p-1}, |
| {0x1.e3e25e3954964p-56, 0x1.3affa292050b9p-1}, |
| {0x1.8076a2cfdc6b3p-57, 0x1.44cf325091dd6p-1}, |
| {0x1.3c293edceb327p-57, 0x1.4e6cabbe3e5e9p-1}, |
| {-0x1.75720992bfbb2p-55, 0x1.57d69348cecap-1}, |
| {-0x1.251b352ff2a37p-56, 0x1.610b7551d2cdfp-1}, |
| {-0x1.bdd3413b26456p-55, 0x1.6a09e667f3bcdp-1}, |
| {0x1.0d4ef0f1d915cp-55, 0x1.72d0837efff96p-1}, |
| {-0x1.0f537acdf0ad7p-56, 0x1.7b5df226aafafp-1}, |
| {-0x1.6f420f8ea3475p-56, 0x1.83b0e0bff976ep-1}, |
| {-0x1.2c5e12ed1336dp-55, 0x1.8bc806b151741p-1}, |
| {0x1.3d419a920df0bp-55, 0x1.93a22499263fbp-1}, |
| {-0x1.30ee286712474p-55, 0x1.9b3e047f38741p-1}, |
| {-0x1.128bb015df175p-56, 0x1.a29a7a0462782p-1}, |
| {0x1.9f630e8b6dac8p-60, 0x1.a9b66290ea1a3p-1}, |
| {-0x1.926da300ffccep-55, 0x1.b090a581502p-1}, |
| {-0x1.bc69f324e6d61p-55, 0x1.b728345196e3ep-1}, |
| {-0x1.825a732ac700ap-55, 0x1.bd7c0ac6f952ap-1}, |
| {-0x1.6e0b1757c8d07p-56, 0x1.c38b2f180bdb1p-1}, |
| {-0x1.2fb761e946603p-58, 0x1.c954b213411f5p-1}, |
| {-0x1.e7b6bb5ab58aep-58, 0x1.ced7af43cc773p-1}, |
| {-0x1.4ef5295d25af2p-55, 0x1.d4134d14dc93ap-1}, |
| {0x1.457e610231ac2p-56, 0x1.d906bcf328d46p-1}, |
| {0x1.83c37c6107db3p-55, 0x1.ddb13b6ccc23cp-1}, |
| {-0x1.014c76c126527p-55, 0x1.e212104f686e5p-1}, |
| {-0x1.16b56f2847754p-57, 0x1.e6288ec48e112p-1}, |
| {0x1.760b1e2e3f81ep-55, 0x1.e9f4156c62ddap-1}, |
| {0x1.e82c791f59cc2p-56, 0x1.ed740e7684963p-1}, |
| {0x1.52c7adc6b4989p-56, 0x1.f0a7efb9230d7p-1}, |
| {-0x1.d7bafb51f72e6p-56, 0x1.f38f3ac64e589p-1}, |
| {0x1.562172a361fd3p-56, 0x1.f6297cff75cbp-1}, |
| {0x1.ab256778ffcb6p-56, 0x1.f8764fa714ba9p-1}, |
| {-0x1.7a0a8ca13571fp-55, 0x1.fa7557f08a517p-1}, |
| {0x1.1ec8668ecaceep-55, 0x1.fc26470e19fd3p-1}, |
| {-0x1.87df6378811c7p-55, 0x1.fd88da3d12526p-1}, |
| {0x1.521ecd0c67e35p-57, 0x1.fe9cdad01883ap-1}, |
| {-0x1.c57bc2e24aa15p-57, 0x1.ff621e3796d7ep-1}, |
| {-0x1.1354d4556e4cbp-55, 0x1.ffd886084cd0dp-1}, |
| {0, 1}, |
| #ifndef LIBC_MATH_HAS_SMALL_TABLES |
| {-0x1.1354d4556e4cbp-55, 0x1.ffd886084cd0dp-1}, |
| {-0x1.c57bc2e24aa15p-57, 0x1.ff621e3796d7ep-1}, |
| {0x1.521ecd0c67e35p-57, 0x1.fe9cdad01883ap-1}, |
| {-0x1.87df6378811c7p-55, 0x1.fd88da3d12526p-1}, |
| {0x1.1ec8668ecaceep-55, 0x1.fc26470e19fd3p-1}, |
| {-0x1.7a0a8ca13571fp-55, 0x1.fa7557f08a517p-1}, |
| {0x1.ab256778ffcb6p-56, 0x1.f8764fa714ba9p-1}, |
| {0x1.562172a361fd3p-56, 0x1.f6297cff75cbp-1}, |
| {-0x1.d7bafb51f72e6p-56, 0x1.f38f3ac64e589p-1}, |
| {0x1.52c7adc6b4989p-56, 0x1.f0a7efb9230d7p-1}, |
| {0x1.e82c791f59cc2p-56, 0x1.ed740e7684963p-1}, |
| {0x1.760b1e2e3f81ep-55, 0x1.e9f4156c62ddap-1}, |
| {-0x1.16b56f2847754p-57, 0x1.e6288ec48e112p-1}, |
| {-0x1.014c76c126527p-55, 0x1.e212104f686e5p-1}, |
| {0x1.83c37c6107db3p-55, 0x1.ddb13b6ccc23cp-1}, |
| {0x1.457e610231ac2p-56, 0x1.d906bcf328d46p-1}, |
| {-0x1.4ef5295d25af2p-55, 0x1.d4134d14dc93ap-1}, |
| {-0x1.e7b6bb5ab58aep-58, 0x1.ced7af43cc773p-1}, |
| {-0x1.2fb761e946603p-58, 0x1.c954b213411f5p-1}, |
| {-0x1.6e0b1757c8d07p-56, 0x1.c38b2f180bdb1p-1}, |
| {-0x1.825a732ac700ap-55, 0x1.bd7c0ac6f952ap-1}, |
| {-0x1.bc69f324e6d61p-55, 0x1.b728345196e3ep-1}, |
| {-0x1.926da300ffccep-55, 0x1.b090a581502p-1}, |
| {0x1.9f630e8b6dac8p-60, 0x1.a9b66290ea1a3p-1}, |
| {-0x1.128bb015df175p-56, 0x1.a29a7a0462782p-1}, |
| {-0x1.30ee286712474p-55, 0x1.9b3e047f38741p-1}, |
| {0x1.3d419a920df0bp-55, 0x1.93a22499263fbp-1}, |
| {-0x1.2c5e12ed1336dp-55, 0x1.8bc806b151741p-1}, |
| {-0x1.6f420f8ea3475p-56, 0x1.83b0e0bff976ep-1}, |
| {-0x1.0f537acdf0ad7p-56, 0x1.7b5df226aafafp-1}, |
| {0x1.0d4ef0f1d915cp-55, 0x1.72d0837efff96p-1}, |
| {-0x1.bdd3413b26456p-55, 0x1.6a09e667f3bcdp-1}, |
| {-0x1.251b352ff2a37p-56, 0x1.610b7551d2cdfp-1}, |
| {-0x1.75720992bfbb2p-55, 0x1.57d69348cecap-1}, |
| {0x1.3c293edceb327p-57, 0x1.4e6cabbe3e5e9p-1}, |
| {0x1.8076a2cfdc6b3p-57, 0x1.44cf325091dd6p-1}, |
| {0x1.e3e25e3954964p-56, 0x1.3affa292050b9p-1}, |
| {-0x1.efcc626f74a6fp-57, 0x1.30ff7fce17035p-1}, |
| {-0x1.5da743ef3770cp-55, 0x1.26d054cdd12dfp-1}, |
| {0x1.b25dd267f66p-55, 0x1.1c73b39ae68c8p-1}, |
| {-0x1.ef23b69abe4f1p-55, 0x1.11eb3541b4b23p-1}, |
| {-0x1.a5a014347406cp-55, 0x1.073879922ffeep-1}, |
| {-0x1.2ec1fc1b776b8p-60, 0x1.f8ba4dbf89abap-2}, |
| {0x1.e0d891d3c6841p-58, 0x1.e2b5d3806f63bp-2}, |
| {0x1.6850e59c37f8fp-58, 0x1.cc66e9931c45ep-2}, |
| {0x1.5b362cb974183p-57, 0x1.b5d1009e15ccp-2}, |
| {0x1.6da81290bdbabp-57, 0x1.9ef7943a8ed8ap-2}, |
| {-0x1.72cedd3d5a61p-57, 0x1.87de2a6aea963p-2}, |
| {-0x1.44b19e0864c5dp-56, 0x1.7088530fa459fp-2}, |
| {-0x1.efdc0d58cf62p-62, 0x1.58f9a75ab1fddp-2}, |
| {0x1.0c97c4afa2518p-56, 0x1.4135c94176601p-2}, |
| {-0x1.5d28da2c4612dp-56, 0x1.294062ed59f06p-2}, |
| {0x1.824c20ab7aa9ap-56, 0x1.111d262b1f677p-2}, |
| {-0x1.42deef11da2c4p-57, 0x1.f19f97b215f1bp-3}, |
| {-0x1.af1439e521935p-62, 0x1.c0b826a7e4f63p-3}, |
| {-0x1.26d19b9ff8d82p-57, 0x1.8f8b83c69a60bp-3}, |
| {0x1.531ff779ddac6p-57, 0x1.5e214448b3fc6p-3}, |
| {0x1.13000a89a11ep-58, 0x1.2c8106e8e613ap-3}, |
| {0x1.a2704729ae56dp-59, 0x1.f564e56a9730ep-4}, |
| {-0x1.e2718d26ed688p-60, 0x1.917a6bc29b42cp-4}, |
| {-0x1.9a088a8bf6b2cp-59, 0x1.2d52092ce19f6p-4}, |
| {-0x1.912bd0d569a9p-61, 0x1.91f65f10dd814p-5}, |
| {-0x1.b1d63091a013p-64, 0x1.92155f7a3667ep-6}, |
| {0, 0}, |
| {0x1.b1d63091a013p-64, -0x1.92155f7a3667ep-6}, |
| {0x1.912bd0d569a9p-61, -0x1.91f65f10dd814p-5}, |
| {0x1.9a088a8bf6b2cp-59, -0x1.2d52092ce19f6p-4}, |
| {0x1.e2718d26ed688p-60, -0x1.917a6bc29b42cp-4}, |
| {-0x1.a2704729ae56dp-59, -0x1.f564e56a9730ep-4}, |
| {-0x1.13000a89a11ep-58, -0x1.2c8106e8e613ap-3}, |
| {-0x1.531ff779ddac6p-57, -0x1.5e214448b3fc6p-3}, |
| {0x1.26d19b9ff8d82p-57, -0x1.8f8b83c69a60bp-3}, |
| {0x1.af1439e521935p-62, -0x1.c0b826a7e4f63p-3}, |
| {0x1.42deef11da2c4p-57, -0x1.f19f97b215f1bp-3}, |
| {-0x1.824c20ab7aa9ap-56, -0x1.111d262b1f677p-2}, |
| {0x1.5d28da2c4612dp-56, -0x1.294062ed59f06p-2}, |
| {-0x1.0c97c4afa2518p-56, -0x1.4135c94176601p-2}, |
| {0x1.efdc0d58cf62p-62, -0x1.58f9a75ab1fddp-2}, |
| {0x1.44b19e0864c5dp-56, -0x1.7088530fa459fp-2}, |
| {0x1.72cedd3d5a61p-57, -0x1.87de2a6aea963p-2}, |
| {-0x1.6da81290bdbabp-57, -0x1.9ef7943a8ed8ap-2}, |
| {-0x1.5b362cb974183p-57, -0x1.b5d1009e15ccp-2}, |
| {-0x1.6850e59c37f8fp-58, -0x1.cc66e9931c45ep-2}, |
| {-0x1.e0d891d3c6841p-58, -0x1.e2b5d3806f63bp-2}, |
| {0x1.2ec1fc1b776b8p-60, -0x1.f8ba4dbf89abap-2}, |
| {0x1.a5a014347406cp-55, -0x1.073879922ffeep-1}, |
| {0x1.ef23b69abe4f1p-55, -0x1.11eb3541b4b23p-1}, |
| {-0x1.b25dd267f66p-55, -0x1.1c73b39ae68c8p-1}, |
| {0x1.5da743ef3770cp-55, -0x1.26d054cdd12dfp-1}, |
| {0x1.efcc626f74a6fp-57, -0x1.30ff7fce17035p-1}, |
| {-0x1.e3e25e3954964p-56, -0x1.3affa292050b9p-1}, |
| {-0x1.8076a2cfdc6b3p-57, -0x1.44cf325091dd6p-1}, |
| {-0x1.3c293edceb327p-57, -0x1.4e6cabbe3e5e9p-1}, |
| {0x1.75720992bfbb2p-55, -0x1.57d69348cecap-1}, |
| {0x1.251b352ff2a37p-56, -0x1.610b7551d2cdfp-1}, |
| {0x1.bdd3413b26456p-55, -0x1.6a09e667f3bcdp-1}, |
| {-0x1.0d4ef0f1d915cp-55, -0x1.72d0837efff96p-1}, |
| {0x1.0f537acdf0ad7p-56, -0x1.7b5df226aafafp-1}, |
| {0x1.6f420f8ea3475p-56, -0x1.83b0e0bff976ep-1}, |
| {0x1.2c5e12ed1336dp-55, -0x1.8bc806b151741p-1}, |
| {-0x1.3d419a920df0bp-55, -0x1.93a22499263fbp-1}, |
| {0x1.30ee286712474p-55, -0x1.9b3e047f38741p-1}, |
| {0x1.128bb015df175p-56, -0x1.a29a7a0462782p-1}, |
| {-0x1.9f630e8b6dac8p-60, -0x1.a9b66290ea1a3p-1}, |
| {0x1.926da300ffccep-55, -0x1.b090a581502p-1}, |
| {0x1.bc69f324e6d61p-55, -0x1.b728345196e3ep-1}, |
| {0x1.825a732ac700ap-55, -0x1.bd7c0ac6f952ap-1}, |
| {0x1.6e0b1757c8d07p-56, -0x1.c38b2f180bdb1p-1}, |
| {0x1.2fb761e946603p-58, -0x1.c954b213411f5p-1}, |
| {0x1.e7b6bb5ab58aep-58, -0x1.ced7af43cc773p-1}, |
| {0x1.4ef5295d25af2p-55, -0x1.d4134d14dc93ap-1}, |
| {-0x1.457e610231ac2p-56, -0x1.d906bcf328d46p-1}, |
| {-0x1.83c37c6107db3p-55, -0x1.ddb13b6ccc23cp-1}, |
| {0x1.014c76c126527p-55, -0x1.e212104f686e5p-1}, |
| {0x1.16b56f2847754p-57, -0x1.e6288ec48e112p-1}, |
| {-0x1.760b1e2e3f81ep-55, -0x1.e9f4156c62ddap-1}, |
| {-0x1.e82c791f59cc2p-56, -0x1.ed740e7684963p-1}, |
| {-0x1.52c7adc6b4989p-56, -0x1.f0a7efb9230d7p-1}, |
| {0x1.d7bafb51f72e6p-56, -0x1.f38f3ac64e589p-1}, |
| {-0x1.562172a361fd3p-56, -0x1.f6297cff75cbp-1}, |
| {-0x1.ab256778ffcb6p-56, -0x1.f8764fa714ba9p-1}, |
| {0x1.7a0a8ca13571fp-55, -0x1.fa7557f08a517p-1}, |
| {-0x1.1ec8668ecaceep-55, -0x1.fc26470e19fd3p-1}, |
| {0x1.87df6378811c7p-55, -0x1.fd88da3d12526p-1}, |
| {-0x1.521ecd0c67e35p-57, -0x1.fe9cdad01883ap-1}, |
| {0x1.c57bc2e24aa15p-57, -0x1.ff621e3796d7ep-1}, |
| {0x1.1354d4556e4cbp-55, -0x1.ffd886084cd0dp-1}, |
| {0, -1}, |
| {0x1.1354d4556e4cbp-55, -0x1.ffd886084cd0dp-1}, |
| {0x1.c57bc2e24aa15p-57, -0x1.ff621e3796d7ep-1}, |
| {-0x1.521ecd0c67e35p-57, -0x1.fe9cdad01883ap-1}, |
| {0x1.87df6378811c7p-55, -0x1.fd88da3d12526p-1}, |
| {-0x1.1ec8668ecaceep-55, -0x1.fc26470e19fd3p-1}, |
| {0x1.7a0a8ca13571fp-55, -0x1.fa7557f08a517p-1}, |
| {-0x1.ab256778ffcb6p-56, -0x1.f8764fa714ba9p-1}, |
| {-0x1.562172a361fd3p-56, -0x1.f6297cff75cbp-1}, |
| {0x1.d7bafb51f72e6p-56, -0x1.f38f3ac64e589p-1}, |
| {-0x1.52c7adc6b4989p-56, -0x1.f0a7efb9230d7p-1}, |
| {-0x1.e82c791f59cc2p-56, -0x1.ed740e7684963p-1}, |
| {-0x1.760b1e2e3f81ep-55, -0x1.e9f4156c62ddap-1}, |
| {0x1.16b56f2847754p-57, -0x1.e6288ec48e112p-1}, |
| {0x1.014c76c126527p-55, -0x1.e212104f686e5p-1}, |
| {-0x1.83c37c6107db3p-55, -0x1.ddb13b6ccc23cp-1}, |
| {-0x1.457e610231ac2p-56, -0x1.d906bcf328d46p-1}, |
| {0x1.4ef5295d25af2p-55, -0x1.d4134d14dc93ap-1}, |
| {0x1.e7b6bb5ab58aep-58, -0x1.ced7af43cc773p-1}, |
| {0x1.2fb761e946603p-58, -0x1.c954b213411f5p-1}, |
| {0x1.6e0b1757c8d07p-56, -0x1.c38b2f180bdb1p-1}, |
| {0x1.825a732ac700ap-55, -0x1.bd7c0ac6f952ap-1}, |
| {0x1.bc69f324e6d61p-55, -0x1.b728345196e3ep-1}, |
| {0x1.926da300ffccep-55, -0x1.b090a581502p-1}, |
| {-0x1.9f630e8b6dac8p-60, -0x1.a9b66290ea1a3p-1}, |
| {0x1.128bb015df175p-56, -0x1.a29a7a0462782p-1}, |
| {0x1.30ee286712474p-55, -0x1.9b3e047f38741p-1}, |
| {-0x1.3d419a920df0bp-55, -0x1.93a22499263fbp-1}, |
| {0x1.2c5e12ed1336dp-55, -0x1.8bc806b151741p-1}, |
| {0x1.6f420f8ea3475p-56, -0x1.83b0e0bff976ep-1}, |
| {0x1.0f537acdf0ad7p-56, -0x1.7b5df226aafafp-1}, |
| {-0x1.0d4ef0f1d915cp-55, -0x1.72d0837efff96p-1}, |
| {0x1.bdd3413b26456p-55, -0x1.6a09e667f3bcdp-1}, |
| {0x1.251b352ff2a37p-56, -0x1.610b7551d2cdfp-1}, |
| {0x1.75720992bfbb2p-55, -0x1.57d69348cecap-1}, |
| {-0x1.3c293edceb327p-57, -0x1.4e6cabbe3e5e9p-1}, |
| {-0x1.8076a2cfdc6b3p-57, -0x1.44cf325091dd6p-1}, |
| {-0x1.e3e25e3954964p-56, -0x1.3affa292050b9p-1}, |
| {0x1.efcc626f74a6fp-57, -0x1.30ff7fce17035p-1}, |
| {0x1.5da743ef3770cp-55, -0x1.26d054cdd12dfp-1}, |
| {-0x1.b25dd267f66p-55, -0x1.1c73b39ae68c8p-1}, |
| {0x1.ef23b69abe4f1p-55, -0x1.11eb3541b4b23p-1}, |
| {0x1.a5a014347406cp-55, -0x1.073879922ffeep-1}, |
| {0x1.2ec1fc1b776b8p-60, -0x1.f8ba4dbf89abap-2}, |
| {-0x1.e0d891d3c6841p-58, -0x1.e2b5d3806f63bp-2}, |
| {-0x1.6850e59c37f8fp-58, -0x1.cc66e9931c45ep-2}, |
| {-0x1.5b362cb974183p-57, -0x1.b5d1009e15ccp-2}, |
| {-0x1.6da81290bdbabp-57, -0x1.9ef7943a8ed8ap-2}, |
| {0x1.72cedd3d5a61p-57, -0x1.87de2a6aea963p-2}, |
| {0x1.44b19e0864c5dp-56, -0x1.7088530fa459fp-2}, |
| {0x1.efdc0d58cf62p-62, -0x1.58f9a75ab1fddp-2}, |
| {-0x1.0c97c4afa2518p-56, -0x1.4135c94176601p-2}, |
| {0x1.5d28da2c4612dp-56, -0x1.294062ed59f06p-2}, |
| {-0x1.824c20ab7aa9ap-56, -0x1.111d262b1f677p-2}, |
| {0x1.42deef11da2c4p-57, -0x1.f19f97b215f1bp-3}, |
| {0x1.af1439e521935p-62, -0x1.c0b826a7e4f63p-3}, |
| {0x1.26d19b9ff8d82p-57, -0x1.8f8b83c69a60bp-3}, |
| {-0x1.531ff779ddac6p-57, -0x1.5e214448b3fc6p-3}, |
| {-0x1.13000a89a11ep-58, -0x1.2c8106e8e613ap-3}, |
| {-0x1.a2704729ae56dp-59, -0x1.f564e56a9730ep-4}, |
| {0x1.e2718d26ed688p-60, -0x1.917a6bc29b42cp-4}, |
| {0x1.9a088a8bf6b2cp-59, -0x1.2d52092ce19f6p-4}, |
| {0x1.912bd0d569a9p-61, -0x1.91f65f10dd814p-5}, |
| {0x1.b1d63091a013p-64, -0x1.92155f7a3667ep-6}, |
| #endif // !LIBC_MATH_HAS_SMALL_TABLES |
| }; |
| |
| } // namespace LIBC_NAMESPACE_DECL |
| |
| #endif // LLVM_LIBC_SRC_MATH_GENERIC_RANGE_REDUCTION_DOUBLE_FMA_H |
