| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,313 @@ | ||
| //===-- Double-precision atan2 function -----------------------------------===// | ||
| // | ||
| // 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 | ||
| // | ||
| //===----------------------------------------------------------------------===// | ||
|
|
||
| #include "src/math/atan2.h" | ||
| #include "inv_trigf_utils.h" | ||
| #include "src/__support/FPUtil/FPBits.h" | ||
| #include "src/__support/FPUtil/PolyEval.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/FPUtil/rounding_mode.h" | ||
| #include "src/__support/macros/config.h" | ||
| #include "src/__support/macros/optimization.h" // LIBC_UNLIKELY | ||
|
|
||
| namespace LIBC_NAMESPACE_DECL { | ||
|
|
||
| namespace { | ||
|
|
||
| using DoubleDouble = fputil::DoubleDouble; | ||
|
|
||
| // atan(i/64) with i = 0..64, generated by Sollya with: | ||
| // > for i from 0 to 64 do { | ||
| // a = round(atan(i/64), D, RN); | ||
| // b = round(atan(i/64) - a, D, RN); | ||
| // print("{", b, ",", a, "},"); | ||
| // }; | ||
| constexpr fputil::DoubleDouble ATAN_I[65] = { | ||
| {0.0, 0.0}, | ||
| {-0x1.220c39d4dff5p-61, 0x1.fff555bbb729bp-7}, | ||
| {-0x1.5ec431444912cp-60, 0x1.ffd55bba97625p-6}, | ||
| {-0x1.86ef8f794f105p-63, 0x1.7fb818430da2ap-5}, | ||
| {-0x1.c934d86d23f1dp-60, 0x1.ff55bb72cfdeap-5}, | ||
| {0x1.ac4ce285df847p-58, 0x1.3f59f0e7c559dp-4}, | ||
| {-0x1.cfb654c0c3d98p-58, 0x1.7ee182602f10fp-4}, | ||
| {0x1.f7b8f29a05987p-58, 0x1.be39ebe6f07c3p-4}, | ||
| {-0x1.cd37686760c17p-59, 0x1.fd5ba9aac2f6ep-4}, | ||
| {-0x1.b485914dacf8cp-59, 0x1.1e1fafb043727p-3}, | ||
| {0x1.61a3b0ce9281bp-57, 0x1.3d6eee8c6626cp-3}, | ||
| {-0x1.054ab2c010f3dp-58, 0x1.5c9811e3ec26ap-3}, | ||
| {0x1.347b0b4f881cap-58, 0x1.7b97b4bce5b02p-3}, | ||
| {0x1.cf601e7b4348ep-59, 0x1.9a6a8e96c8626p-3}, | ||
| {0x1.17b10d2e0e5abp-61, 0x1.b90d7529260a2p-3}, | ||
| {0x1.c648d1534597ep-57, 0x1.d77d5df205736p-3}, | ||
| {0x1.8ab6e3cf7afbdp-57, 0x1.f5b75f92c80ddp-3}, | ||
| {0x1.62e47390cb865p-56, 0x1.09dc597d86362p-2}, | ||
| {0x1.30ca4748b1bf9p-57, 0x1.18bf5a30bf178p-2}, | ||
| {-0x1.077cdd36dfc81p-56, 0x1.278372057ef46p-2}, | ||
| {-0x1.963a544b672d8p-57, 0x1.362773707ebccp-2}, | ||
| {-0x1.5d5e43c55b3bap-56, 0x1.44aa436c2af0ap-2}, | ||
| {-0x1.2566480884082p-57, 0x1.530ad9951cd4ap-2}, | ||
| {-0x1.a725715711fp-56, 0x1.614840309cfe2p-2}, | ||
| {-0x1.c63aae6f6e918p-56, 0x1.6f61941e4def1p-2}, | ||
| {0x1.69c885c2b249ap-56, 0x1.7d5604b63b3f7p-2}, | ||
| {0x1.b6d0ba3748fa8p-56, 0x1.8b24d394a1b25p-2}, | ||
| {0x1.9e6c988fd0a77p-56, 0x1.98cd5454d6b18p-2}, | ||
| {-0x1.24dec1b50b7ffp-56, 0x1.a64eec3cc23fdp-2}, | ||
| {0x1.ae187b1ca504p-56, 0x1.b3a911da65c6cp-2}, | ||
| {-0x1.cc1ce70934c34p-56, 0x1.c0db4c94ec9fp-2}, | ||
| {-0x1.a2cfa4418f1adp-56, 0x1.cde53432c1351p-2}, | ||
| {0x1.a2b7f222f65e2p-56, 0x1.dac670561bb4fp-2}, | ||
| {0x1.0e53dc1bf3435p-56, 0x1.e77eb7f175a34p-2}, | ||
| {-0x1.a3992dc382a23p-57, 0x1.f40dd0b541418p-2}, | ||
| {-0x1.b32c949c9d593p-55, 0x1.0039c73c1a40cp-1}, | ||
| {-0x1.d5b495f6349e6p-56, 0x1.0657e94db30dp-1}, | ||
| {0x1.974fa13b5404fp-58, 0x1.0c6145b5b43dap-1}, | ||
| {-0x1.2bdaee1c0ee35p-58, 0x1.1255d9bfbd2a9p-1}, | ||
| {0x1.c621cec00c301p-55, 0x1.1835a88be7c13p-1}, | ||
| {-0x1.928df287a668fp-58, 0x1.1e00babdefeb4p-1}, | ||
| {0x1.c421c9f38224ep-57, 0x1.23b71e2cc9e6ap-1}, | ||
| {-0x1.09e73b0c6c087p-56, 0x1.2958e59308e31p-1}, | ||
| {0x1.c5d5e9ff0cf8dp-55, 0x1.2ee628406cbcap-1}, | ||
| {0x1.1021137c71102p-55, 0x1.345f01cce37bbp-1}, | ||
| {-0x1.2304331d8bf46p-55, 0x1.39c391cd4171ap-1}, | ||
| {0x1.ecf8b492644fp-56, 0x1.3f13fb89e96f4p-1}, | ||
| {-0x1.f76d0163f79c8p-56, 0x1.445065b795b56p-1}, | ||
| {0x1.2419a87f2a458p-56, 0x1.4978fa3269ee1p-1}, | ||
| {0x1.4a33dbeb3796cp-55, 0x1.4e8de5bb6ec04p-1}, | ||
| {-0x1.1bb74abda520cp-55, 0x1.538f57b89061fp-1}, | ||
| {-0x1.5e5c9d8c5a95p-56, 0x1.587d81f732fbbp-1}, | ||
| {0x1.0028e4bc5e7cap-57, 0x1.5d58987169b18p-1}, | ||
| {-0x1.2b785350ee8c1p-57, 0x1.6220d115d7b8ep-1}, | ||
| {-0x1.6ea6febe8bbbap-56, 0x1.66d663923e087p-1}, | ||
| {-0x1.a80386188c50ep-55, 0x1.6b798920b3d99p-1}, | ||
| {-0x1.8c34d25aadef6p-56, 0x1.700a7c5784634p-1}, | ||
| {0x1.7b2a6165884a1p-59, 0x1.748978fba8e0fp-1}, | ||
| {0x1.406a08980374p-55, 0x1.78f6bbd5d315ep-1}, | ||
| {0x1.560821e2f3aa9p-55, 0x1.7d528289fa093p-1}, | ||
| {-0x1.bf76229d3b917p-56, 0x1.819d0b7158a4dp-1}, | ||
| {0x1.6b66e7fc8b8c3p-57, 0x1.85d69576cc2c5p-1}, | ||
| {-0x1.55b9a5e177a1bp-55, 0x1.89ff5ff57f1f8p-1}, | ||
| {-0x1.ec182ab042f61p-56, 0x1.8e17aa99cc05ep-1}, | ||
| {0x1.1a62633145c07p-55, 0x1.921fb54442d18p-1}, | ||
| }; | ||
|
|
||
| // Approximate atan(x) for |x| <= 2^-7. | ||
| // Using degree-9 Taylor polynomial: | ||
| // P = x - x^3/3 + x^5/5 -x^7/7 + x^9/9; | ||
| // Then the absolute error is bounded by: | ||
| // |atan(x) - P(x)| < |x|^11/11 < 2^(-7*11) / 11 < 2^-80. | ||
| // And the relative error is bounded by: | ||
| // |(atan(x) - P(x))/atan(x)| < |x|^10 / 10 < 2^-73. | ||
| // For x = x_hi + x_lo, fully expand the polynomial and drop any terms less than | ||
| // ulp(x_hi^3 / 3) gives us: | ||
| // P(x) ~ x_hi - x_hi^3/3 + x_hi^5/5 - x_hi^7/7 + x_hi^9/9 + | ||
| // + x_lo * (1 - x_hi^2 + x_hi^4) | ||
| DoubleDouble atan_eval(const DoubleDouble &x) { | ||
| DoubleDouble p; | ||
| p.hi = x.hi; | ||
| double x_hi_sq = x.hi * x.hi; | ||
| // c0 ~ x_hi^2 * 1/5 - 1/3 | ||
| double c0 = fputil::multiply_add(x_hi_sq, 0x1.999999999999ap-3, | ||
| -0x1.5555555555555p-2); | ||
| // c1 ~ x_hi^2 * 1/9 - 1/7 | ||
| double c1 = fputil::multiply_add(x_hi_sq, 0x1.c71c71c71c71cp-4, | ||
| -0x1.2492492492492p-3); | ||
| // x_hi^3 | ||
| double x_hi_3 = x_hi_sq * x.hi; | ||
| // x_hi^4 | ||
| double x_hi_4 = x_hi_sq * x_hi_sq; | ||
| // d0 ~ 1/3 - x_hi^2 / 5 + x_hi^4 / 7 - x_hi^6 / 9 | ||
| double d0 = fputil::multiply_add(x_hi_4, c1, c0); | ||
| // x_lo - x_lo * x_hi^2 + x_lo * x_hi^4 | ||
| double d1 = fputil::multiply_add(x_hi_4 - x_hi_sq, x.lo, x.lo); | ||
| // p.lo ~ -x_hi^3/3 + x_hi^5/5 - x_hi^7/7 + x_hi^9/9 + | ||
| // + x_lo * (1 - x_hi^2 + x_hi^4) | ||
| p.lo = fputil::multiply_add(x_hi_3, d0, d1); | ||
| return p; | ||
| } | ||
|
|
||
| } // anonymous namespace | ||
|
|
||
| // There are several range reduction steps we can take for atan2(y, x) as | ||
| // follow: | ||
|
|
||
| // * Range reduction 1: signness | ||
| // atan2(y, x) will return a number between -PI and PI representing the angle | ||
| // forming by the 0x axis and the vector (x, y) on the 0xy-plane. | ||
| // In particular, we have that: | ||
| // atan2(y, x) = atan( y/x ) if x >= 0 and y >= 0 (I-quadrant) | ||
| // = pi + atan( y/x ) if x < 0 and y >= 0 (II-quadrant) | ||
| // = -pi + atan( y/x ) if x < 0 and y < 0 (III-quadrant) | ||
| // = atan( y/x ) if x >= 0 and y < 0 (IV-quadrant) | ||
| // Since atan function is odd, we can use the formula: | ||
| // atan(-u) = -atan(u) | ||
| // to adjust the above conditions a bit further: | ||
| // atan2(y, x) = atan( |y|/|x| ) if x >= 0 and y >= 0 (I-quadrant) | ||
| // = pi - atan( |y|/|x| ) if x < 0 and y >= 0 (II-quadrant) | ||
| // = -pi + atan( |y|/|x| ) if x < 0 and y < 0 (III-quadrant) | ||
| // = -atan( |y|/|x| ) if x >= 0 and y < 0 (IV-quadrant) | ||
| // Which can be simplified to: | ||
| // atan2(y, x) = sign(y) * atan( |y|/|x| ) if x >= 0 | ||
| // = sign(y) * (pi - atan( |y|/|x| )) if x < 0 | ||
|
|
||
| // * Range reduction 2: reciprocal | ||
| // Now that the argument inside atan is positive, we can use the formula: | ||
| // atan(1/x) = pi/2 - atan(x) | ||
| // to make the argument inside atan <= 1 as follow: | ||
| // atan2(y, x) = sign(y) * atan( |y|/|x|) if 0 <= |y| <= x | ||
| // = sign(y) * (pi/2 - atan( |x|/|y| ) if 0 <= x < |y| | ||
| // = sign(y) * (pi - atan( |y|/|x| )) if 0 <= |y| <= -x | ||
| // = sign(y) * (pi/2 + atan( |x|/|y| )) if 0 <= -x < |y| | ||
|
|
||
| // * Range reduction 3: look up table. | ||
| // After the previous two range reduction steps, we reduce the problem to | ||
| // compute atan(u) with 0 <= u <= 1, or to be precise: | ||
| // atan( n / d ) where n = min(|x|, |y|) and d = max(|x|, |y|). | ||
| // An accurate polynomial approximation for the whole [0, 1] input range will | ||
| // require a very large degree. To make it more efficient, we reduce the input | ||
| // range further by finding an integer idx such that: | ||
| // | n/d - idx/64 | <= 1/128. | ||
| // In particular, | ||
| // idx := round(2^6 * n/d) | ||
| // Then for the fast pass, we find a polynomial approximation for: | ||
| // atan( n/d ) ~ atan( idx/64 ) + (n/d - idx/64) * Q(n/d - idx/64) | ||
| // For the accurate pass, we use the addition formula: | ||
| // atan( n/d ) - atan( idx/64 ) = atan( (n/d - idx/64)/(1 + (n*idx)/(64*d)) ) | ||
| // = atan( (n - d*(idx/64))/(d + n*(idx/64)) ) | ||
| // And for the fast pass, we use degree-9 Taylor polynomial to compute the RHS: | ||
| // atan(u) ~ P(u) = u - u^3/3 + u^5/5 - u^7/7 + u^9/9 | ||
| // with absolute errors bounded by: | ||
| // |atan(u) - P(u)| < |u|^11 / 11 < 2^-80 | ||
| // and relative errors bounded by: | ||
| // |(atan(u) - P(u)) / P(u)| < u^10 / 11 < 2^-73. | ||
|
|
||
| LLVM_LIBC_FUNCTION(double, atan2, (double y, double x)) { | ||
| using FPBits = fputil::FPBits<double>; | ||
|
|
||
| constexpr double IS_NEG[2] = {1.0, -1.0}; | ||
| constexpr DoubleDouble ZERO = {0.0, 0.0}; | ||
| constexpr DoubleDouble MZERO = {-0.0, -0.0}; | ||
| constexpr DoubleDouble PI = {0x1.1a62633145c07p-53, 0x1.921fb54442d18p+1}; | ||
| constexpr DoubleDouble MPI = {-0x1.1a62633145c07p-53, -0x1.921fb54442d18p+1}; | ||
| constexpr DoubleDouble PI_OVER_2 = {0x1.1a62633145c07p-54, | ||
| 0x1.921fb54442d18p0}; | ||
| constexpr DoubleDouble MPI_OVER_2 = {-0x1.1a62633145c07p-54, | ||
| -0x1.921fb54442d18p0}; | ||
| constexpr DoubleDouble PI_OVER_4 = {0x1.1a62633145c07p-55, | ||
| 0x1.921fb54442d18p-1}; | ||
| constexpr DoubleDouble THREE_PI_OVER_4 = {0x1.a79394c9e8a0ap-54, | ||
| 0x1.2d97c7f3321d2p+1}; | ||
| // Adjustment for constant term: | ||
| // CONST_ADJ[x_sign][y_sign][recip] | ||
| constexpr DoubleDouble CONST_ADJ[2][2][2] = { | ||
| {{ZERO, MPI_OVER_2}, {MZERO, MPI_OVER_2}}, | ||
| {{MPI, PI_OVER_2}, {MPI, PI_OVER_2}}}; | ||
|
|
||
| FPBits x_bits(x), y_bits(y); | ||
| bool x_sign = x_bits.sign().is_neg(); | ||
| bool y_sign = y_bits.sign().is_neg(); | ||
| x_bits = x_bits.abs(); | ||
| y_bits = y_bits.abs(); | ||
| uint64_t x_abs = x_bits.uintval(); | ||
| uint64_t y_abs = y_bits.uintval(); | ||
| bool recip = x_abs < y_abs; | ||
| uint64_t min_abs = recip ? x_abs : y_abs; | ||
| uint64_t max_abs = !recip ? x_abs : y_abs; | ||
| unsigned min_exp = static_cast<unsigned>(min_abs >> FPBits::FRACTION_LEN); | ||
| unsigned max_exp = static_cast<unsigned>(max_abs >> FPBits::FRACTION_LEN); | ||
|
|
||
| double num = FPBits(min_abs).get_val(); | ||
| double den = FPBits(max_abs).get_val(); | ||
|
|
||
| // Check for exceptional cases, whether inputs are 0, inf, nan, or close to | ||
| // overflow, or close to underflow. | ||
| if (LIBC_UNLIKELY(max_exp > 0x7ffU - 128U || min_exp < 128U)) { | ||
| if (x_bits.is_nan() || y_bits.is_nan()) | ||
| return FPBits::quiet_nan().get_val(); | ||
| unsigned x_except = x_abs == 0 ? 0 : (FPBits(x_abs).is_inf() ? 2 : 1); | ||
| unsigned y_except = y_abs == 0 ? 0 : (FPBits(y_abs).is_inf() ? 2 : 1); | ||
|
|
||
| // Exceptional cases: | ||
| // EXCEPT[y_except][x_except][x_is_neg] | ||
| // with x_except & y_except: | ||
| // 0: zero | ||
| // 1: finite, non-zero | ||
| // 2: infinity | ||
| constexpr DoubleDouble EXCEPTS[3][3][2] = { | ||
| {{ZERO, PI}, {ZERO, PI}, {ZERO, PI}}, | ||
| {{PI_OVER_2, PI_OVER_2}, {ZERO, ZERO}, {ZERO, PI}}, | ||
| {{PI_OVER_2, PI_OVER_2}, | ||
| {PI_OVER_2, PI_OVER_2}, | ||
| {PI_OVER_4, THREE_PI_OVER_4}}, | ||
| }; | ||
|
|
||
| if ((x_except != 1) || (y_except != 1)) { | ||
| DoubleDouble r = EXCEPTS[y_except][x_except][x_sign]; | ||
| return fputil::multiply_add(IS_NEG[y_sign], r.hi, IS_NEG[y_sign] * r.lo); | ||
| } | ||
| bool scale_up = min_exp < 128U; | ||
| bool scale_down = max_exp > 0x7ffU - 128U; | ||
| // At least one input is denormal, multiply both numerator and denominator | ||
| // by some large enough power of 2 to normalize denormal inputs. | ||
| if (scale_up) { | ||
| num *= 0x1.0p64; | ||
| if (!scale_down) | ||
| den *= 0x1.0p64; | ||
| } else if (scale_down) { | ||
| den *= 0x1.0p-64; | ||
| if (!scale_up) | ||
| num *= 0x1.0p-64; | ||
| } | ||
|
|
||
| min_abs = FPBits(num).uintval(); | ||
| max_abs = FPBits(den).uintval(); | ||
| min_exp = static_cast<unsigned>(min_abs >> FPBits::FRACTION_LEN); | ||
| max_exp = static_cast<unsigned>(max_abs >> FPBits::FRACTION_LEN); | ||
| } | ||
|
|
||
| double final_sign = IS_NEG[(x_sign != y_sign) != recip]; | ||
| DoubleDouble const_term = CONST_ADJ[x_sign][y_sign][recip]; | ||
| unsigned exp_diff = max_exp - min_exp; | ||
| // We have the following bound for normalized n and d: | ||
| // 2^(-exp_diff - 1) < n/d < 2^(-exp_diff + 1). | ||
| if (LIBC_UNLIKELY(exp_diff > 54)) { | ||
| return fputil::multiply_add(final_sign, const_term.hi, | ||
| final_sign * (const_term.lo + num / den)); | ||
| } | ||
|
|
||
| double k = fputil::nearest_integer(64.0 * num / den); | ||
| unsigned idx = static_cast<unsigned>(k); | ||
| // k = idx / 64 | ||
| k *= 0x1.0p-6; | ||
|
|
||
| // Range reduction: | ||
| // atan(n/d) - atan(k/64) = atan((n/d - k/64) / (1 + (n/d) * (k/64))) | ||
| // = atan((n - d * k/64)) / (d + n * k/64)) | ||
| DoubleDouble num_k = fputil::exact_mult(num, k); | ||
| DoubleDouble den_k = fputil::exact_mult(den, k); | ||
|
|
||
| // num_dd = n - d * k | ||
| DoubleDouble num_dd = fputil::exact_add(num - den_k.hi, -den_k.lo); | ||
| // den_dd = d + n * k | ||
| DoubleDouble den_dd = fputil::exact_add(den, num_k.hi); | ||
| den_dd.lo += num_k.lo; | ||
|
|
||
| // q = (n - d * k) / (d + n * k) | ||
| DoubleDouble q = fputil::div(num_dd, den_dd); | ||
| // p ~ atan(q) | ||
| DoubleDouble p = atan_eval(q); | ||
|
|
||
| DoubleDouble r = fputil::add(const_term, fputil::add(ATAN_I[idx], p)); | ||
| r.hi *= final_sign; | ||
| r.lo *= final_sign; | ||
|
|
||
| return r.hi + r.lo; | ||
| } | ||
|
|
||
| } // namespace LIBC_NAMESPACE_DECL |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,125 @@ | ||
| //===-- Unittests for atan2 -----------------------------------------------===// | ||
| // | ||
| // 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 | ||
| // | ||
| //===----------------------------------------------------------------------===// | ||
|
|
||
| #include "src/__support/FPUtil/FPBits.h" | ||
| #include "src/math/atan2.h" | ||
| #include "test/UnitTest/FPMatcher.h" | ||
| #include "test/UnitTest/Test.h" | ||
| #include "utils/MPFRWrapper/MPFRUtils.h" | ||
|
|
||
| using LlvmLibcAtan2Test = LIBC_NAMESPACE::testing::FPTest<double>; | ||
| using LIBC_NAMESPACE::testing::tlog; | ||
|
|
||
| namespace mpfr = LIBC_NAMESPACE::testing::mpfr; | ||
|
|
||
| TEST_F(LlvmLibcAtan2Test, TrickyInputs) { | ||
| mpfr::BinaryInput<double> inputs[] = { | ||
| {0x1.0853408534085p-2, 0x1.e7b54166c6126p-2}, | ||
| {FPBits::inf().get_val(), 0x0.0000000000001p-1022}, | ||
| }; | ||
|
|
||
| for (mpfr::BinaryInput<double> &input : inputs) { | ||
| double x = input.x; | ||
| double y = input.y; | ||
| mpfr::RoundingMode rm = mpfr::RoundingMode::Downward; | ||
| mpfr::ForceRoundingMode rr(rm); | ||
| ASSERT_MPFR_MATCH(mpfr::Operation::Atan2, input, | ||
| LIBC_NAMESPACE::atan2(x, y), 0.5, rm); | ||
| input.x = -input.x; | ||
| ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, input, | ||
| LIBC_NAMESPACE::atan2(-x, y), 0.5); | ||
| input.y = -input.y; | ||
| ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, input, | ||
| LIBC_NAMESPACE::atan2(-x, -y), 0.5); | ||
| input.x = -input.x; | ||
| ASSERT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Atan2, input, | ||
| LIBC_NAMESPACE::atan2(x, -y), 0.5); | ||
| } | ||
| } | ||
|
|
||
| TEST_F(LlvmLibcAtan2Test, InDoubleRange) { | ||
| constexpr uint64_t X_COUNT = 123; | ||
| constexpr uint64_t X_START = FPBits(0.25).uintval(); | ||
| constexpr uint64_t X_STOP = FPBits(4.0).uintval(); | ||
| constexpr uint64_t X_STEP = (X_STOP - X_START) / X_COUNT; | ||
|
|
||
| constexpr uint64_t Y_COUNT = 137; | ||
| constexpr uint64_t Y_START = FPBits(0.25).uintval(); | ||
| constexpr uint64_t Y_STOP = FPBits(4.0).uintval(); | ||
| constexpr uint64_t Y_STEP = (Y_STOP - Y_START) / Y_COUNT; | ||
|
|
||
| auto test = [&](mpfr::RoundingMode rounding_mode) { | ||
| mpfr::ForceRoundingMode __r(rounding_mode); | ||
| if (!__r.success) | ||
| return; | ||
|
|
||
| uint64_t fails = 0; | ||
| uint64_t finite_count = 0; | ||
| uint64_t total_count = 0; | ||
| double failed_x = 0.0, failed_y = 0.0, failed_r = 0.0; | ||
| double tol = 0.5; | ||
|
|
||
| for (uint64_t i = 0, v = X_START; i <= X_COUNT; ++i, v += X_STEP) { | ||
| double x = FPBits(v).get_val(); | ||
| if (FPBits(x).is_inf_or_nan() || x < 0.0) | ||
| continue; | ||
|
|
||
| for (uint64_t j = 0, w = Y_START; j <= Y_COUNT; ++j, w += Y_STEP) { | ||
| double y = FPBits(w).get_val(); | ||
| if (FPBits(y).is_inf_or_nan()) | ||
| continue; | ||
|
|
||
| double result = LIBC_NAMESPACE::atan2(x, y); | ||
| ++total_count; | ||
| if (FPBits(result).is_inf_or_nan()) | ||
| continue; | ||
|
|
||
| ++finite_count; | ||
| mpfr::BinaryInput<double> inputs{x, y}; | ||
|
|
||
| if (!TEST_MPFR_MATCH_ROUNDING_SILENTLY(mpfr::Operation::Atan2, inputs, | ||
| result, 0.5, rounding_mode)) { | ||
| ++fails; | ||
| while (!TEST_MPFR_MATCH_ROUNDING_SILENTLY( | ||
| mpfr::Operation::Atan2, inputs, result, tol, rounding_mode)) { | ||
| failed_x = x; | ||
| failed_y = y; | ||
| failed_r = result; | ||
|
|
||
| if (tol > 1000.0) | ||
| break; | ||
|
|
||
| tol *= 2.0; | ||
| } | ||
| } | ||
| } | ||
| } | ||
| if (fails || (finite_count < total_count)) { | ||
| tlog << " Atan2 failed: " << fails << "/" << finite_count << "/" | ||
| << total_count << " tests.\n" | ||
| << " Max ULPs is at most: " << static_cast<uint64_t>(tol) << ".\n"; | ||
| } | ||
| if (fails) { | ||
| mpfr::BinaryInput<double> inputs{failed_x, failed_y}; | ||
| EXPECT_MPFR_MATCH(mpfr::Operation::Atan2, inputs, failed_r, 0.5, | ||
| rounding_mode); | ||
| } | ||
| }; | ||
|
|
||
| tlog << " Test Rounding To Nearest...\n"; | ||
| test(mpfr::RoundingMode::Nearest); | ||
|
|
||
| tlog << " Test Rounding Downward...\n"; | ||
| test(mpfr::RoundingMode::Downward); | ||
|
|
||
| tlog << " Test Rounding Upward...\n"; | ||
| test(mpfr::RoundingMode::Upward); | ||
|
|
||
| tlog << " Test Rounding Toward Zero...\n"; | ||
| test(mpfr::RoundingMode::TowardZero); | ||
| } |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,22 @@ | ||
| //===-- Unittests for atan2 -----------------------------------------------===// | ||
| // | ||
| // 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 | ||
| // | ||
| //===----------------------------------------------------------------------===// | ||
|
|
||
| #include "src/math/atan2.h" | ||
| #include "test/UnitTest/FPMatcher.h" | ||
| #include "test/UnitTest/Test.h" | ||
|
|
||
| using LlvmLibcAtan2Test = LIBC_NAMESPACE::testing::FPTest<double>; | ||
|
|
||
| TEST_F(LlvmLibcAtan2Test, SpecialNumbers) { | ||
| EXPECT_FP_EQ_ALL_ROUNDING(aNaN, LIBC_NAMESPACE::atan2(aNaN, zero)); | ||
| EXPECT_FP_EQ_ALL_ROUNDING(aNaN, LIBC_NAMESPACE::atan2(1.0, aNaN)); | ||
| EXPECT_FP_EQ_ALL_ROUNDING(0.0, LIBC_NAMESPACE::atan2(zero, zero)); | ||
| EXPECT_FP_EQ_ALL_ROUNDING(-0.0, LIBC_NAMESPACE::atan2(-0.0, zero)); | ||
| EXPECT_FP_EQ_ALL_ROUNDING(0.0, LIBC_NAMESPACE::atan2(1.0, inf)); | ||
| EXPECT_FP_EQ_ALL_ROUNDING(-0.0, LIBC_NAMESPACE::atan2(-1.0, inf)); | ||
| } |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,2 +1,6 @@ | ||
| set(LIBCXX_ENABLE_EXCEPTIONS OFF CACHE BOOL "") | ||
| set(LIBCXXABI_ENABLE_EXCEPTIONS OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,2 +1,6 @@ | ||
| set(LIBCXX_TEST_PARAMS "enable_experimental=False" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1,5 @@ | ||
| set(LIBCXX_ENABLE_FILESYSTEM OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1,5 @@ | ||
| set(LIBCXX_ENABLE_LOCALIZATION OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1,5 @@ | ||
| set(LIBCXX_ENABLE_RANDOM_DEVICE OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,3 +1,7 @@ | ||
| set(LIBCXX_ENABLE_THREADS OFF CACHE BOOL "") | ||
| set(LIBCXXABI_ENABLE_THREADS OFF CACHE BOOL "") | ||
| set(LIBCXX_ENABLE_MONOTONIC_CLOCK OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1,5 @@ | ||
| set(LIBCXX_ENABLE_TIME_ZONE_DATABASE OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1,5 @@ | ||
| set(LIBCXX_ENABLE_UNICODE OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1,5 @@ | ||
| set(LIBCXX_ENABLE_WIDE_CHARACTERS OFF CACHE BOOL "") | ||
|
|
||
| # Speed up the CI | ||
| set(LIBCXX_TEST_PARAMS "enable_modules=clang" CACHE STRING "") | ||
| set(LIBCXXABI_TEST_PARAMS "${LIBCXX_TEST_PARAMS}" CACHE STRING "") |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,129 @@ | ||
| # REQUIRES: loongarch | ||
| # RUN: rm -rf %t && split-file %s %t | ||
|
|
||
| # RUN: llvm-mc --filetype=obj --triple=loongarch32 %t/a.s -o %t/a.32.o | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch32 %t/bc.s -o %t/bc.32.o | ||
| # RUN: ld.lld -shared -soname=bc.so %t/bc.32.o -o %t/bc.32.so | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch32 %t/tga.s -o %t/tga.32.o | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch64 %t/a.s -o %t/a.64.o | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch64 %t/bc.s -o %t/bc.64.o | ||
| # RUN: ld.lld -shared -soname=bc.so %t/bc.64.o -o %t/bc.64.so | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch64 %t/tga.s -o %t/tga.64.o | ||
|
|
||
| ## LA32 GD | ||
| # RUN: ld.lld -shared %t/a.32.o %t/bc.32.o -o %t/gd.32.so | ||
| # RUN: llvm-readobj -r %t/gd.32.so | FileCheck --check-prefix=GD32-REL %s | ||
| # RUN: llvm-objdump -d --no-show-raw-insn %t/gd.32.so | FileCheck --check-prefix=GD32 %s | ||
|
|
||
| ## LA32 GD -> LE | ||
| # RUN: ld.lld %t/a.32.o %t/bc.32.o %t/tga.32.o -o %t/le.32 | ||
| # RUN: llvm-readelf -r %t/le.32 | FileCheck --check-prefix=NOREL %s | ||
| # RUN: llvm-readelf -x .got %t/le.32 | FileCheck --check-prefix=LE32-GOT %s | ||
| # RUN: ld.lld -pie %t/a.32.o %t/bc.32.o %t/tga.32.o -o %t/le-pie.32 | ||
| # RUN: llvm-readelf -r %t/le-pie.32 | FileCheck --check-prefix=NOREL %s | ||
| # RUN: llvm-readelf -x .got %t/le-pie.32 | FileCheck --check-prefix=LE32-GOT %s | ||
|
|
||
| ## LA32 GD -> IE | ||
| # RUN: ld.lld %t/a.32.o %t/bc.32.so %t/tga.32.o -o %t/ie.32 | ||
| # RUN: llvm-readobj -r %t/ie.32 | FileCheck --check-prefix=IE32-REL %s | ||
| # RUN: llvm-readelf -x .got %t/ie.32 | FileCheck --check-prefix=IE32-GOT %s | ||
|
|
||
| ## LA64 GD | ||
| # RUN: ld.lld -shared %t/a.64.o %t/bc.64.o -o %t/gd.64.so | ||
| # RUN: llvm-readobj -r %t/gd.64.so | FileCheck --check-prefix=GD64-REL %s | ||
| # RUN: llvm-objdump -d --no-show-raw-insn %t/gd.64.so | FileCheck --check-prefix=GD64 %s | ||
|
|
||
| ## LA64 GD -> LE | ||
| # RUN: ld.lld %t/a.64.o %t/bc.64.o %t/tga.64.o -o %t/le.64 | ||
| # RUN: llvm-readelf -r %t/le.64 | FileCheck --check-prefix=NOREL %s | ||
| # RUN: llvm-readelf -x .got %t/le.64 | FileCheck --check-prefix=LE64-GOT %s | ||
| # RUN: ld.lld -pie %t/a.64.o %t/bc.64.o %t/tga.64.o -o %t/le-pie.64 | ||
| # RUN: llvm-readelf -r %t/le-pie.64 | FileCheck --check-prefix=NOREL %s | ||
| # RUN: llvm-readelf -x .got %t/le-pie.64 | FileCheck --check-prefix=LE64-GOT %s | ||
|
|
||
| ## LA64 GD -> IE | ||
| # RUN: ld.lld %t/a.64.o %t/bc.64.so %t/tga.64.o -o %t/ie.64 | ||
| # RUN: llvm-readobj -r %t/ie.64 | FileCheck --check-prefix=IE64-REL %s | ||
| # RUN: llvm-readelf -x .got %t/ie.64 | FileCheck --check-prefix=IE64-GOT %s | ||
|
|
||
| # GD32-REL: .rela.dyn { | ||
| # GD32-REL-NEXT: 0x20300 R_LARCH_TLS_DTPMOD32 a 0x0 | ||
| # GD32-REL-NEXT: 0x20304 R_LARCH_TLS_DTPREL32 a 0x0 | ||
| # GD32-REL-NEXT: 0x20308 R_LARCH_TLS_DTPMOD32 b 0x0 | ||
| # GD32-REL-NEXT: 0x2030C R_LARCH_TLS_DTPREL32 b 0x0 | ||
| # GD32-REL-NEXT: } | ||
|
|
||
| ## &DTPMOD(a) - . = 0x20300 - 0x10250 = 16428<<2 | ||
| # GD32: 10250: pcaddi $a0, 16428 | ||
| # GD32-NEXT: bl 44 | ||
|
|
||
| ## &DTPMOD(b) - . = 0x20308 - 0x10258 = 16428<<2 | ||
| # GD32: 10258: pcaddi $a0, 16428 | ||
| # GD32-NEXT: bl 36 | ||
|
|
||
| # GD64-REL: .rela.dyn { | ||
| # GD64-REL-NEXT: 0x204C0 R_LARCH_TLS_DTPMOD64 a 0x0 | ||
| # GD64-REL-NEXT: 0x204C8 R_LARCH_TLS_DTPREL64 a 0x0 | ||
| # GD64-REL-NEXT: 0x204D0 R_LARCH_TLS_DTPMOD64 b 0x0 | ||
| # GD64-REL-NEXT: 0x204D8 R_LARCH_TLS_DTPREL64 b 0x0 | ||
| # GD64-REL-NEXT: } | ||
|
|
||
| ## &DTPMOD(a) - . = 0x204c0 - 0x10398 = 16458<<2 | ||
| # GD64: 10398: pcaddi $a0, 16458 | ||
| # GD64-NEXT: bl 52 | ||
|
|
||
| ## &DTPMOD(b) - . = 0x204d0 - 0x103a4 = 16460<<2 | ||
| # GD64: 103a0: pcaddi $a0, 16460 | ||
| # GD64-NEXT: bl 44 | ||
|
|
||
| # NOREL: no relocations | ||
|
|
||
| ## .got contains pre-populated values: [a@dtpmod, a@dtprel, b@dtpmod, b@dtprel] | ||
| ## a@dtprel = st_value(a) = 0x8 | ||
| ## b@dtprel = st_value(b) = 0xc | ||
| # LE32-GOT: section '.got': | ||
| # LE32-GOT-NEXT: 0x[[#%x,A:]] 01000000 08000000 01000000 0c000000 | ||
| # LE64-GOT: section '.got': | ||
| # LE64-GOT-NEXT: 0x[[#%x,A:]] 01000000 00000000 08000000 00000000 | ||
| # LE64-GOT-NEXT: 0x[[#%x,A:]] 01000000 00000000 0c000000 00000000 | ||
|
|
||
| ## a is local - relaxed to LE - its DTPMOD/DTPREL slots are link-time constants. | ||
| ## b is external - DTPMOD/DTPREL dynamic relocations are required. | ||
| # IE32-REL: .rela.dyn { | ||
| # IE32-REL-NEXT: 0x30220 R_LARCH_TLS_DTPMOD32 b 0x0 | ||
| # IE32-REL-NEXT: 0x30224 R_LARCH_TLS_DTPREL32 b 0x0 | ||
| # IE32-REL-NEXT: } | ||
| # IE32-GOT: section '.got': | ||
| # IE32-GOT-NEXT: 0x00030218 01000000 08000000 00000000 00000000 | ||
|
|
||
| # IE64-REL: .rela.dyn { | ||
| # IE64-REL-NEXT: 0x30380 R_LARCH_TLS_DTPMOD64 b 0x0 | ||
| # IE64-REL-NEXT: 0x30388 R_LARCH_TLS_DTPREL64 b 0x0 | ||
| # IE64-REL-NEXT: } | ||
| # IE64-GOT: section '.got': | ||
| # IE64-GOT-NEXT: 0x00030370 01000000 00000000 08000000 00000000 | ||
| # IE64-GOT-NEXT: 0x00030380 00000000 00000000 00000000 00000000 | ||
|
|
||
| #--- a.s | ||
| pcaddi $a0, %gd_pcrel_20(a) | ||
| bl %plt(__tls_get_addr) | ||
|
|
||
| pcaddi $a0, %gd_pcrel_20(b) | ||
| bl %plt(__tls_get_addr) | ||
|
|
||
| .section .tbss,"awT",@nobits | ||
| .globl a | ||
| .zero 8 | ||
| a: | ||
| .zero 4 | ||
|
|
||
| #--- bc.s | ||
| .section .tbss,"awT",@nobits | ||
| .globl b, c | ||
| b: | ||
| .zero 4 | ||
| c: | ||
|
|
||
| #--- tga.s | ||
| .globl __tls_get_addr | ||
| __tls_get_addr: |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,82 @@ | ||
| # REQUIRES: loongarch | ||
| # RUN: rm -rf %t && split-file %s %t | ||
|
|
||
| # RUN: llvm-mc --filetype=obj --triple=loongarch32 --position-independent %t/a.s -o %t/a.32.o | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch32 %t/tga.s -o %t/tga.32.o | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch64 --position-independent %t/a.s -o %t/a.64.o | ||
| # RUN: llvm-mc --filetype=obj --triple=loongarch64 %t/tga.s -o %t/tga.64.o | ||
|
|
||
| ## LA32 LD | ||
| # RUN: ld.lld -shared %t/a.32.o -o %t/ld.32.so | ||
| # RUN: llvm-readobj -r %t/ld.32.so | FileCheck --check-prefix=LD32-REL %s | ||
| # RUN: llvm-readelf -x .got %t/ld.32.so | FileCheck --check-prefix=LD32-GOT %s | ||
| # RUN: llvm-objdump -d --no-show-raw-insn %t/ld.32.so | FileCheck --check-prefixes=LD32 %s | ||
|
|
||
| ## LA32 LD -> LE | ||
| # RUN: ld.lld %t/a.32.o %t/tga.32.o -o %t/le.32 | ||
| # RUN: llvm-readelf -r %t/le.32 | FileCheck --check-prefix=NOREL %s | ||
| # RUN: llvm-readelf -x .got %t/le.32 | FileCheck --check-prefix=LE32-GOT %s | ||
| # RUN: llvm-objdump -d --no-show-raw-insn %t/le.32 | FileCheck --check-prefixes=LE32 %s | ||
|
|
||
| ## LA64 LD | ||
| # RUN: ld.lld -shared %t/a.64.o -o %t/ld.64.so | ||
| # RUN: llvm-readobj -r %t/ld.64.so | FileCheck --check-prefix=LD64-REL %s | ||
| # RUN: llvm-readelf -x .got %t/ld.64.so | FileCheck --check-prefix=LD64-GOT %s | ||
| # RUN: llvm-objdump -d --no-show-raw-insn %t/ld.64.so | FileCheck --check-prefixes=LD64 %s | ||
|
|
||
| ## LA64 LD -> LE | ||
| # RUN: ld.lld %t/a.64.o %t/tga.64.o -o %t/le.64 | ||
| # RUN: llvm-readelf -r %t/le.64 | FileCheck --check-prefix=NOREL %s | ||
| # RUN: llvm-readelf -x .got %t/le.64 | FileCheck --check-prefix=LE64-GOT %s | ||
| # RUN: llvm-objdump -d --no-show-raw-insn %t/le.64 | FileCheck --check-prefixes=LE64 %s | ||
|
|
||
| ## a@dtprel = st_value(a) = 0 is a link-time constant. | ||
| # LD32-REL: .rela.dyn { | ||
| # LD32-REL-NEXT: 0x20280 R_LARCH_TLS_DTPMOD32 - 0x0 | ||
| # LD32-REL-NEXT: } | ||
| # LD32-GOT: section '.got': | ||
| # LD32-GOT-NEXT: 0x00020280 00000000 00000000 | ||
|
|
||
| # LD64-REL: .rela.dyn { | ||
| # LD64-REL-NEXT: 0x20400 R_LARCH_TLS_DTPMOD64 - 0x0 | ||
| # LD64-REL-NEXT: } | ||
| # LD64-GOT: section '.got': | ||
| # LD64-GOT-NEXT: 0x00020400 00000000 00000000 00000000 00000000 | ||
|
|
||
| ## LA32: &DTPMOD(a) - . = 0x20280 - 0x101cc = 16429<<2 | ||
| # LD32: 101cc: pcaddi $a0, 16429 | ||
| # LD32-NEXT: bl 48 | ||
|
|
||
| ## LA64: &DTPMOD(a) - . = 0x20400 - 0x102e0 = 16456<<2 | ||
| # LD64: 102e0: pcaddi $a0, 16456 | ||
| # LD64-NEXT: bl 44 | ||
|
|
||
| # NOREL: no relocations | ||
|
|
||
| ## a is local - its DTPMOD/DTPREL slots are link-time constants. | ||
| ## a@dtpmod = 1 (main module) | ||
| # LE32-GOT: section '.got': | ||
| # LE32-GOT-NEXT: 0x0003011c 01000000 00000000 | ||
|
|
||
| # LE64-GOT: section '.got': | ||
| # LE64-GOT-NEXT: 0x000301d0 01000000 00000000 00000000 00000000 | ||
|
|
||
| ## LA32: DTPMOD(.LANCHOR0) - . = 0x3011c - 0x20114 = 16386<<2 | ||
| # LE32: 20114: pcaddi $a0, 16386 | ||
| # LE32-NEXT: bl 4 | ||
|
|
||
| ## LA64: DTPMOD(.LANCHOR0) - . = 0x301d0 - 0x201c8 = 16386<<2 | ||
| # LE64: 201c8: pcaddi $a0, 16386 | ||
| # LE64-NEXT: bl 4 | ||
|
|
||
| #--- a.s | ||
| pcaddi $a0, %ld_pcrel_20(.LANCHOR0) | ||
| bl %plt(__tls_get_addr) | ||
|
|
||
| .section .tbss,"awT",@nobits | ||
| .set .LANCHOR0, . + 0 | ||
| .zero 8 | ||
|
|
||
| #--- tga.s | ||
| .globl __tls_get_addr | ||
| __tls_get_addr: |
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,142 @@ | ||
| # REQUIRES: loongarch | ||
| # RUN: rm -rf %t && split-file %s %t && cd %t | ||
| # RUN: llvm-mc -filetype=obj -triple=loongarch64 a.s -o a.64.o | ||
| # RUN: llvm-mc -filetype=obj -triple=loongarch64 c.s -o c.64.o | ||
| # RUN: ld.lld -shared -soname=c.64.so c.64.o -o c.64.so | ||
| # RUN: llvm-mc -filetype=obj -triple=loongarch32 --defsym ELF32=1 a.s -o a.32.o | ||
| # RUN: llvm-mc -filetype=obj -triple=loongarch32 --defsym ELF32=1 c.s -o c.32.o | ||
| # RUN: ld.lld -shared -soname=c.32.so c.32.o -o c.32.so | ||
|
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||
| # RUN: ld.lld -shared -z now a.64.o c.64.o -o a.64.so | ||
| # RUN: llvm-readobj -r -x .got a.64.so | FileCheck --check-prefix=GD64-RELA %s | ||
| # RUN: llvm-objdump --no-show-raw-insn -h -d a.64.so | FileCheck %s --check-prefix=GD64 | ||
|
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||
| # RUN: ld.lld -shared -z now a.64.o c.64.o -o rel.64.so -z rel | ||
| # RUN: llvm-readobj -r -x .got rel.64.so | FileCheck --check-prefix=GD64-REL %s | ||
|
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||
| ## FIXME: The transition frome TLSDESC to IE/LE has not yet been implemented. | ||
| ## Keep the dynamic relocations and hand them over to dynamic linker. | ||
|
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||
| # RUN: ld.lld -e 0 -z now a.64.o c.64.o -o a.64.le | ||
| # RUN: llvm-readobj -r -x .got a.64.le | FileCheck --check-prefix=LE64-RELA %s | ||
|
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| # RUN: ld.lld -e 0 -z now a.64.o c.64.so -o a.64.ie | ||
| # RUN: llvm-readobj -r -x .got a.64.ie | FileCheck --check-prefix=IE64-RELA %s | ||
|
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| ## 32-bit code is mostly the same. We only test a few variants. | ||
|
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| # RUN: ld.lld -shared -z now a.32.o c.32.o -o rel.32.so -z rel | ||
| # RUN: llvm-readobj -r -x .got rel.32.so | FileCheck --check-prefix=GD32-REL %s | ||
|
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||
| # GD64-RELA: .rela.dyn { | ||
| # GD64-RELA-NEXT: 0x203F0 R_LARCH_TLS_DESC64 - 0x7FF | ||
| # GD64-RELA-NEXT: 0x203D0 R_LARCH_TLS_DESC64 a 0x0 | ||
| # GD64-RELA-NEXT: 0x203E0 R_LARCH_TLS_DESC64 c 0x0 | ||
| # GD64-RELA-NEXT: } | ||
| # GD64-RELA: Hex dump of section '.got': | ||
| # GD64-RELA-NEXT: 0x000203d0 00000000 00000000 00000000 00000000 . | ||
| # GD64-RELA-NEXT: 0x000203e0 00000000 00000000 00000000 00000000 . | ||
| # GD64-RELA-NEXT: 0x000203f0 00000000 00000000 00000000 00000000 . | ||
|
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||
| # GD64-REL: .rel.dyn { | ||
| # GD64-REL-NEXT: 0x203D8 R_LARCH_TLS_DESC64 - | ||
| # GD64-REL-NEXT: 0x203B8 R_LARCH_TLS_DESC64 a | ||
| # GD64-REL-NEXT: 0x203C8 R_LARCH_TLS_DESC64 c | ||
| # GD64-REL-NEXT: } | ||
| # GD64-REL: Hex dump of section '.got': | ||
| # GD64-REL-NEXT: 0x000203b8 00000000 00000000 00000000 00000000 . | ||
| # GD64-REL-NEXT: 0x000203c8 00000000 00000000 00000000 00000000 . | ||
| # GD64-REL-NEXT: 0x000203d8 00000000 00000000 ff070000 00000000 . | ||
|
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||
| # GD64: .got 00000030 00000000000203d0 | ||
|
|
||
| ## &.got[a]-. = 0x203d0 - 0x102e0 = 16444<<2 | ||
| # GD64: 102e0: pcaddi $a0, 16444 | ||
| # GD64-NEXT: ld.d $ra, $a0, 0 | ||
| # GD64-NEXT: jirl $ra, $ra, 0 | ||
| # GD64-NEXT: add.d $a1, $a0, $tp | ||
|
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||
| ## &.got[b]-. = 0x203d0+32 - 0x102f0 = 16448<<2 | ||
| # GD64: 102f0: pcaddi $a0, 16448 | ||
| # GD64-NEXT: ld.d $ra, $a0, 0 | ||
| # GD64-NEXT: jirl $ra, $ra, 0 | ||
| # GD64-NEXT: add.d $a2, $a0, $tp | ||
|
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||
| ## &.got[c]-. = 0x203d0+16 - 0x10300 = 16440<<2 | ||
| # GD64: 10300: pcaddi $a0, 16440 | ||
| # GD64-NEXT: ld.d $ra, $a0, 0 | ||
| # GD64-NEXT: jirl $ra, $ra, 0 | ||
| # GD64-NEXT: add.d $a3, $a0, $tp | ||
|
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||
| # LE64-RELA: .rela.dyn { | ||
| # LE64-RELA-NEXT: 0x30240 R_LARCH_TLS_DESC64 - 0x8 | ||
| # LE64-RELA-NEXT: 0x30250 R_LARCH_TLS_DESC64 - 0x800 | ||
| # LE64-RELA-NEXT: 0x30260 R_LARCH_TLS_DESC64 - 0x7FF | ||
| # LE64-RELA-NEXT: } | ||
| # LE64-RELA: Hex dump of section '.got': | ||
| # LE64-RELA-NEXT: 0x00030240 00000000 00000000 00000000 00000000 . | ||
| # LE64-RELA-NEXT: 0x00030250 00000000 00000000 00000000 00000000 . | ||
| # LE64-RELA-NEXT: 0x00030260 00000000 00000000 00000000 00000000 . | ||
|
|
||
| # IE64-RELA: .rela.dyn { | ||
| # IE64-RELA-NEXT: 0x303C8 R_LARCH_TLS_DESC64 - 0x8 | ||
| # IE64-RELA-NEXT: 0x303E8 R_LARCH_TLS_DESC64 - 0x7FF | ||
| # IE64-RELA-NEXT: 0x303D8 R_LARCH_TLS_DESC64 c 0x0 | ||
| # IE64-RELA-NEXT: } | ||
| # IE64-RELA: Hex dump of section '.got': | ||
| # IE64-RELA-NEXT: 0x000303c8 00000000 00000000 00000000 00000000 . | ||
| # IE64-RELA-NEXT: 0x000303d8 00000000 00000000 00000000 00000000 . | ||
| # IE64-RELA-NEXT: 0x000303e8 00000000 00000000 00000000 00000000 . | ||
|
|
||
| # GD32-REL: .rel.dyn { | ||
| # GD32-REL-NEXT: 0x20264 R_LARCH_TLS_DESC32 - | ||
| # GD32-REL-NEXT: 0x20254 R_LARCH_TLS_DESC32 a | ||
| # GD32-REL-NEXT: 0x2025C R_LARCH_TLS_DESC32 c | ||
| # GD32-REL-NEXT: } | ||
| # GD32-REL: Hex dump of section '.got': | ||
| # GD32-REL-NEXT: 0x00020254 00000000 00000000 00000000 00000000 . | ||
| # GD32-REL-NEXT: 0x00020264 00000000 ff070000 . | ||
|
|
||
| #--- a.s | ||
| .macro add dst, src1, src2 | ||
| .ifdef ELF32 | ||
| add.w \dst, \src1, \src2 | ||
| .else | ||
| add.d \dst, \src1, \src2 | ||
| .endif | ||
| .endm | ||
| .macro load dst, src1, src2 | ||
| .ifdef ELF32 | ||
| ld.w \dst, \src1, \src2 | ||
| .else | ||
| ld.d \dst, \src1, \src2 | ||
| .endif | ||
| .endm | ||
|
|
||
| pcaddi $a0, %desc_pcrel_20(a) | ||
| load $ra, $a0, %desc_ld(a) | ||
| jirl $ra, $ra, %desc_call(a) | ||
| add $a1, $a0, $tp | ||
|
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||
| pcaddi $a0, %desc_pcrel_20(b) | ||
| load $ra, $a0, %desc_ld(b) | ||
| jirl $ra, $ra, %desc_call(b) | ||
| add $a2, $a0, $tp | ||
|
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||
| pcaddi $a0, %desc_pcrel_20(c) | ||
| load $ra, $a0, %desc_ld(c) | ||
| jirl $ra, $ra, %desc_call(c) | ||
| add $a3, $a0, $tp | ||
|
|
||
| .section .tbss,"awT",@nobits | ||
| .globl a | ||
| .zero 8 | ||
| a: | ||
| .zero 2039 ## Place b at 0x7ff | ||
| b: | ||
| .zero 1 | ||
|
|
||
| #--- c.s | ||
| .section .tbss,"awT",@nobits | ||
| .globl c | ||
| c: .zero 4 |