[llvm-branch-commits] [libc] c2996a1 - Revert "[libc][math][c23] Implement C23 math function asinpif16 (#146226)"

via llvm-branch-commits llvm-branch-commits at lists.llvm.org
Sat Jul 26 05:33:02 PDT 2025


Author: OverMighty
Date: 2025-07-26T15:33:00+03:00
New Revision: c2996a126eed2d753ce5fe4da897f73bb1215a0d

URL: https://github.com/llvm/llvm-project/commit/c2996a126eed2d753ce5fe4da897f73bb1215a0d
DIFF: https://github.com/llvm/llvm-project/commit/c2996a126eed2d753ce5fe4da897f73bb1215a0d.diff

LOG: Revert "[libc][math][c23] Implement C23 math function asinpif16 (#146226)"

This reverts commit eed9b4e05810381d8655f40fe298abb2f90a95cf.

Added: 
    

Modified: 
    libc/config/linux/aarch64/entrypoints.txt
    libc/config/linux/x86_64/entrypoints.txt
    libc/docs/headers/math/index.rst
    libc/include/math.yaml
    libc/src/math/CMakeLists.txt
    libc/src/math/generic/CMakeLists.txt
    libc/test/src/math/CMakeLists.txt
    libc/test/src/math/smoke/CMakeLists.txt
    libc/utils/MPFRWrapper/MPCommon.cpp
    libc/utils/MPFRWrapper/MPCommon.h
    libc/utils/MPFRWrapper/MPFRUtils.cpp
    libc/utils/MPFRWrapper/MPFRUtils.h

Removed: 
    libc/src/math/asinpif16.h
    libc/src/math/generic/asinpif16.cpp
    libc/test/src/math/asinpif16_test.cpp
    libc/test/src/math/smoke/asinpif16_test.cpp


################################################################################
diff  --git a/libc/config/linux/aarch64/entrypoints.txt b/libc/config/linux/aarch64/entrypoints.txt
index fe7e055fafbe2..b2abebee017d8 100644
--- a/libc/config/linux/aarch64/entrypoints.txt
+++ b/libc/config/linux/aarch64/entrypoints.txt
@@ -660,7 +660,6 @@ if(LIBC_TYPES_HAS_FLOAT16)
   list(APPEND TARGET_LIBM_ENTRYPOINTS
     # math.h C23 _Float16 entrypoints
     # libc.src.math.acoshf16
-    libc.src.math.asinpif16
     libc.src.math.canonicalizef16
     libc.src.math.ceilf16
     libc.src.math.copysignf16

diff  --git a/libc/config/linux/x86_64/entrypoints.txt b/libc/config/linux/x86_64/entrypoints.txt
index 0f5ec1ae444b3..5e8278e586286 100644
--- a/libc/config/linux/x86_64/entrypoints.txt
+++ b/libc/config/linux/x86_64/entrypoints.txt
@@ -703,7 +703,6 @@ if(LIBC_TYPES_HAS_FLOAT16)
     libc.src.math.acospif16
     libc.src.math.asinf16
     libc.src.math.asinhf16
-    libc.src.math.asinpif16
     libc.src.math.atanf16
     libc.src.math.atanhf16
     libc.src.math.canonicalizef16

diff  --git a/libc/docs/headers/math/index.rst b/libc/docs/headers/math/index.rst
index 5a309175b1556..9679c4a6c807f 100644
--- a/libc/docs/headers/math/index.rst
+++ b/libc/docs/headers/math/index.rst
@@ -259,7 +259,7 @@ Higher Math Functions
 +-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
 | asinh     | |check|          |                 |                        | |check|              |                        | 7.12.5.2               | F.10.2.2                   |
 +-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
-| asinpi    |                  |                 |                        | |check|              |                        | 7.12.4.9               | F.10.1.9                   |
+| asinpi    |                  |                 |                        |                      |                        | 7.12.4.9               | F.10.1.9                   |
 +-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+
 | atan      | |check|          | 1 ULP           |                        | |check|              |                        | 7.12.4.3               | F.10.1.3                   |
 +-----------+------------------+-----------------+------------------------+----------------------+------------------------+------------------------+----------------------------+

diff  --git a/libc/include/math.yaml b/libc/include/math.yaml
index b3b91237eb0f9..007be235f4380 100644
--- a/libc/include/math.yaml
+++ b/libc/include/math.yaml
@@ -79,13 +79,6 @@ functions:
     arguments:
       - type: _Float16
     guard: LIBC_TYPES_HAS_FLOAT16
-  - name: asinpif16
-    standards:
-      - stdc
-    return_type: _Float16
-    arguments:
-      - type: _Float16
-    guard: LIBC_TYPES_HAS_FLOAT16
   - name: atan
     standards:
       - stdc

diff  --git a/libc/src/math/CMakeLists.txt b/libc/src/math/CMakeLists.txt
index fc064ab540d13..455ad3456573a 100644
--- a/libc/src/math/CMakeLists.txt
+++ b/libc/src/math/CMakeLists.txt
@@ -58,8 +58,6 @@ add_math_entrypoint_object(asinh)
 add_math_entrypoint_object(asinhf)
 add_math_entrypoint_object(asinhf16)
 
-add_math_entrypoint_object(asinpif16)
-
 add_math_entrypoint_object(atan)
 add_math_entrypoint_object(atanf)
 add_math_entrypoint_object(atanf16)

diff  --git a/libc/src/math/asinpif16.h b/libc/src/math/asinpif16.h
deleted file mode 100644
index b97166af63f5d..0000000000000
--- a/libc/src/math/asinpif16.h
+++ /dev/null
@@ -1,21 +0,0 @@
-//===-- Implementation header for asinpif16 ---------------------*- 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_ASINPIF16_H
-#define LLVM_LIBC_SRC_MATH_ASINPIF16_H
-
-#include "src/__support/macros/config.h"
-#include "src/__support/macros/properties/types.h"
-
-namespace LIBC_NAMESPACE_DECL {
-
-float16 asinpif16(float16 x);
-
-} // namespace LIBC_NAMESPACE_DECL
-
-#endif // LLVM_LIBC_SRC_MATH_ASINPIF16_H

diff  --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
index 8116ee29bc73f..ecf09674b4d4c 100644
--- a/libc/src/math/generic/CMakeLists.txt
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -3918,25 +3918,6 @@ add_entrypoint_object(
     libc.src.__support.macros.properties.types
 )
 
-add_entrypoint_object(
-  asinpif16
-  SRCS
-    asinpif16.cpp
-  HDRS
-    ../asinpif16.h
-  DEPENDS
-    libc.hdr.errno_macros
-    libc.hdr.fenv_macros
-    libc.src.__support.FPUtil.cast
-    libc.src.__support.FPUtil.except_value_utils
-    libc.src.__support.FPUtil.fenv_impl
-    libc.src.__support.FPUtil.fp_bits
-    libc.src.__support.FPUtil.multiply_add
-    libc.src.__support.FPUtil.polyeval
-    libc.src.__support.FPUtil.sqrt
-    libc.src.__support.macros.optimization
-)
-
 add_entrypoint_object(
   atanhf
   SRCS

diff  --git a/libc/src/math/generic/asinpif16.cpp b/libc/src/math/generic/asinpif16.cpp
deleted file mode 100644
index aabc0863ba527..0000000000000
--- a/libc/src/math/generic/asinpif16.cpp
+++ /dev/null
@@ -1,127 +0,0 @@
-//===-- Half-precision asinpif16(x) 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/asinpif16.h"
-#include "hdr/errno_macros.h"
-#include "hdr/fenv_macros.h"
-#include "src/__support/FPUtil/FEnvImpl.h"
-#include "src/__support/FPUtil/FPBits.h"
-#include "src/__support/FPUtil/PolyEval.h"
-#include "src/__support/FPUtil/cast.h"
-#include "src/__support/FPUtil/except_value_utils.h"
-#include "src/__support/FPUtil/multiply_add.h"
-#include "src/__support/FPUtil/sqrt.h"
-#include "src/__support/macros/optimization.h"
-
-namespace LIBC_NAMESPACE_DECL {
-
-LLVM_LIBC_FUNCTION(float16, asinpif16, (float16 x)) {
-  using FPBits = fputil::FPBits<float16>;
-
-  FPBits xbits(x);
-  bool is_neg = xbits.is_neg();
-  double x_abs = fputil::cast<double>(xbits.abs().get_val());
-
-  auto signed_result = [is_neg](auto r) -> auto { return is_neg ? -r : r; };
-
-  if (LIBC_UNLIKELY(x_abs > 1.0)) {
-    // aspinf16(NaN) = NaN
-    if (xbits.is_nan()) {
-      if (xbits.is_signaling_nan()) {
-        fputil::raise_except_if_required(FE_INVALID);
-        return FPBits::quiet_nan().get_val();
-      }
-      return x;
-    }
-
-    // 1 < |x| <= +/-inf
-    fputil::raise_except_if_required(FE_INVALID);
-    fputil::set_errno_if_required(EDOM);
-
-    return FPBits::quiet_nan().get_val();
-  }
-
-  // the coefficients for the polynomial approximation of asin(x)/pi in the
-  // range [0, 0.5] extracted using python-sympy
-  //
-  // Python code to generate the coefficients:
-  //  > from sympy import *
-  //  > import math
-  //  > x = symbols('x')
-  //  > print(series(asin(x)/math.pi, x, 0, 21))
-  //
-  // OUTPUT:
-  //
-  // 0.318309886183791*x + 0.0530516476972984*x**3 + 0.0238732414637843*x**5 +
-  // 0.0142102627760621*x**7 + 0.00967087327815336*x**9 +
-  // 0.00712127941391293*x**11 + 0.00552355646848375*x**13 +
-  // 0.00444514782463692*x**15 + 0.00367705242846804*x**17 +
-  // 0.00310721681820837*x**19 + O(x**21)
-  //
-  // it's very accurate in the range [0, 0.5] and has a maximum error of
-  // 0.0000000000000001 in the range [0, 0.5].
-  constexpr double POLY_COEFFS[] = {
-      0x1.45f306dc9c889p-2, // x^1
-      0x1.b2995e7b7b5fdp-5, // x^3
-      0x1.8723a1d588a36p-6, // x^5
-      0x1.d1a452f20430dp-7, // x^7
-      0x1.3ce52a3a09f61p-7, // x^9
-      0x1.d2b33e303d375p-8, // x^11
-      0x1.69fde663c674fp-8, // x^13
-      0x1.235134885f19bp-8, // x^15
-  };
-  // polynomial evaluation using horner's method
-  // work only for |x| in [0, 0.5]
-  auto asinpi_polyeval = [](double x) -> double {
-    return x * fputil::polyeval(x * x, POLY_COEFFS[0], POLY_COEFFS[1],
-                                POLY_COEFFS[2], POLY_COEFFS[3], POLY_COEFFS[4],
-                                POLY_COEFFS[5], POLY_COEFFS[6], POLY_COEFFS[7]);
-  };
-
-  // if |x| <= 0.5:
-  if (LIBC_UNLIKELY(x_abs <= 0.5)) {
-    // Use polynomial approximation of asin(x)/pi in the range [0, 0.5]
-    double result = asinpi_polyeval(fputil::cast<double>(x));
-    return fputil::cast<float16>(result);
-  }
-
-  // If |x| > 0.5, we need to use the range reduction method:
-  //    y = asin(x) => x = sin(y)
-  //      because: sin(a) = cos(pi/2 - a)
-  //      therefore:
-  //    x = cos(pi/2 - y)
-  //      let z = pi/2 - y,
-  //    x = cos(z)
-  //      because: cos(2a) = 1 - 2 * sin^2(a), z = 2a, a = z/2
-  //      therefore:
-  //    cos(z) = 1 - 2 * sin^2(z/2)
-  //    sin(z/2) = sqrt((1 - cos(z))/2)
-  //    sin(z/2) = sqrt((1 - x)/2)
-  //      let u = (1 - x)/2
-  //      then:
-  //    sin(z/2) = sqrt(u)
-  //    z/2 = asin(sqrt(u))
-  //    z = 2 * asin(sqrt(u))
-  //    pi/2 - y = 2 * asin(sqrt(u))
-  //    y = pi/2 - 2 * asin(sqrt(u))
-  //    y/pi = 1/2 - 2 * asin(sqrt(u))/pi
-  //
-  // Finally, we can write:
-  //   asinpi(x) = 1/2 - 2 * asinpi(sqrt(u))
-  //     where u = (1 - x) /2
-  //             = 0.5 - 0.5 * x
-  //             = multiply_add(-0.5, x, 0.5)
-
-  double u = fputil::multiply_add(-0.5, x_abs, 0.5);
-  double asinpi_sqrt_u = asinpi_polyeval(fputil::sqrt<double>(u));
-  double result = fputil::multiply_add(-2.0, asinpi_sqrt_u, 0.5);
-
-  return fputil::cast<float16>(signed_result(result));
-}
-
-} // namespace LIBC_NAMESPACE_DECL

diff  --git a/libc/test/src/math/CMakeLists.txt b/libc/test/src/math/CMakeLists.txt
index ea5816bd6e27e..43cde0d68873e 100644
--- a/libc/test/src/math/CMakeLists.txt
+++ b/libc/test/src/math/CMakeLists.txt
@@ -2282,17 +2282,6 @@ add_fp_unittest(
     libc.src.math.asinf16  
 )
 
-add_fp_unittest(
-  asinpif16_test
-  NEED_MPFR
-  SUITE
-    libc-math-unittests
-  SRCS
-    asinpif16_test.cpp
-  DEPENDS
-    libc.src.math.asinpif16
-)
-
 add_fp_unittest(
   acosf_test
   NEED_MPFR

diff  --git a/libc/test/src/math/asinpif16_test.cpp b/libc/test/src/math/asinpif16_test.cpp
deleted file mode 100644
index 3718f39fd06a6..0000000000000
--- a/libc/test/src/math/asinpif16_test.cpp
+++ /dev/null
@@ -1,40 +0,0 @@
-//===-- Exhaustive test for asinpif16 -------------------------------------===//
-//
-// 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/asinpif16.h"
-#include "test/UnitTest/FPMatcher.h"
-#include "test/UnitTest/Test.h"
-#include "utils/MPFRWrapper/MPFRUtils.h"
-
-using LlvmLibcAsinpif16Test = LIBC_NAMESPACE::testing::FPTest<float16>;
-
-namespace mpfr = LIBC_NAMESPACE::testing::mpfr;
-
-// Range: [0, Inf]
-static constexpr uint16_t POS_START = 0x0000U;
-static constexpr uint16_t POS_STOP = 0x7c00U;
-
-// Range: [-Inf, 0]
-static constexpr uint16_t NEG_START = 0x8000U;
-static constexpr uint16_t NEG_STOP = 0xfc00U;
-
-TEST_F(LlvmLibcAsinpif16Test, PositiveRange) {
-  for (uint16_t v = POS_START; v <= POS_STOP; ++v) {
-    float16 x = FPBits(v).get_val();
-    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asinpi, x,
-                                   LIBC_NAMESPACE::asinpif16(x), 0.5);
-  }
-}
-
-TEST_F(LlvmLibcAsinpif16Test, NegativeRange) {
-  for (uint16_t v = NEG_START; v <= NEG_STOP; ++v) {
-    float16 x = FPBits(v).get_val();
-    EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Asinpi, x,
-                                   LIBC_NAMESPACE::asinpif16(x), 0.5);
-  }
-}

diff  --git a/libc/test/src/math/smoke/CMakeLists.txt b/libc/test/src/math/smoke/CMakeLists.txt
index 8b54691f2cdf4..ec4c09c5b70f7 100644
--- a/libc/test/src/math/smoke/CMakeLists.txt
+++ b/libc/test/src/math/smoke/CMakeLists.txt
@@ -3988,18 +3988,6 @@ add_fp_unittest(
     libc.src.math.asinhf16
 )
 
-add_fp_unittest(
-  asinpif16_test
-  NEED_MPFR
-  SUITE
-    libc-math-unittests
-  SRCS
-    asinpif16_test.cpp
-  DEPENDS
-    libc.src.math.asinpif16
-    libc.src.errno.errno
-)
-
 add_fp_unittest(
   acoshf_test
   SUITE

diff  --git a/libc/test/src/math/smoke/asinpif16_test.cpp b/libc/test/src/math/smoke/asinpif16_test.cpp
deleted file mode 100644
index 5303eed8f5dae..0000000000000
--- a/libc/test/src/math/smoke/asinpif16_test.cpp
+++ /dev/null
@@ -1,86 +0,0 @@
-//===-- Unittests for asinpif16 -------------------------------------------===//
-//
-// 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/libc_errno.h"
-#include "src/math/asinpif16.h"
-#include "test/UnitTest/FPMatcher.h"
-
-using LlvmLibcAsinpif16Test = LIBC_NAMESPACE::testing::FPTest<float16>;
-
-TEST_F(LlvmLibcAsinpif16Test, SpecialNumbers) {
-  // zero
-  EXPECT_FP_EQ(zero, LIBC_NAMESPACE::asinpif16(zero));
-
-  // +/-1
-  EXPECT_FP_EQ(0.5f16, LIBC_NAMESPACE::asinpif16(1.0));
-  EXPECT_FP_EQ(-0.5f16, LIBC_NAMESPACE::asinpif16(-1.0));
-
-  // NaN inputs
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(FPBits::quiet_nan().get_val()));
-
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(FPBits::signaling_nan().get_val()));
-
-  // infinity inputs -> should return NaN
-  libc_errno = 0;
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(), LIBC_NAMESPACE::asinpif16(inf));
-  EXPECT_MATH_ERRNO(EDOM);
-
-  libc_errno = 0;
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(neg_inf));
-  EXPECT_MATH_ERRNO(EDOM);
-}
-
-TEST_F(LlvmLibcAsinpif16Test, OutOfRange) {
-  // Test values > 1
-  libc_errno = 0;
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(1.5f16));
-  EXPECT_MATH_ERRNO(EDOM);
-
-  libc_errno = 0;
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(2.0f16));
-  EXPECT_MATH_ERRNO(EDOM);
-
-  // Test values < -1
-  libc_errno = 0;
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(-1.5f16));
-  EXPECT_MATH_ERRNO(EDOM);
-
-  libc_errno = 0;
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(-2.0f16));
-  EXPECT_MATH_ERRNO(EDOM);
-
-  // Test maximum normal value (should be > 1 for float16)
-  libc_errno = 0;
-  EXPECT_FP_EQ(FPBits::quiet_nan().get_val(),
-               LIBC_NAMESPACE::asinpif16(FPBits::max_normal().get_val()));
-  EXPECT_MATH_ERRNO(EDOM);
-}
-
-TEST_F(LlvmLibcAsinpif16Test, SymmetryProperty) {
-  // Test that asinpi(-x) = -asinpi(x)
-  constexpr float16 TEST_VALS[] = {0.1f16, 0.25f16, 0.5f16, 0.75f16,
-                                   0.9f16, 0.99f16, 1.0f16};
-
-  for (float16 x : TEST_VALS) {
-    FPBits neg_x_bits(x);
-    neg_x_bits.set_sign(Sign::NEG);
-    float16 neg_x = neg_x_bits.get_val();
-
-    float16 pos_result = LIBC_NAMESPACE::asinpif16(x);
-    float16 neg_result = LIBC_NAMESPACE::asinpif16(neg_x);
-
-    EXPECT_FP_EQ(pos_result, FPBits(neg_result).abs().get_val());
-  }
-}

diff  --git a/libc/utils/MPFRWrapper/MPCommon.cpp b/libc/utils/MPFRWrapper/MPCommon.cpp
index fb6e6e8af71f8..07339a06fff80 100644
--- a/libc/utils/MPFRWrapper/MPCommon.cpp
+++ b/libc/utils/MPFRWrapper/MPCommon.cpp
@@ -105,12 +105,6 @@ MPFRNumber MPFRNumber::asinh() const {
   return result;
 }
 
-MPFRNumber MPFRNumber::asinpi() const {
-  MPFRNumber result(*this);
-  mpfr_asinpi(result.value, value, mpfr_rounding);
-  return result;
-}
-
 MPFRNumber MPFRNumber::atan() const {
   MPFRNumber result(*this);
   mpfr_atan(result.value, value, mpfr_rounding);

diff  --git a/libc/utils/MPFRWrapper/MPCommon.h b/libc/utils/MPFRWrapper/MPCommon.h
index 47d6293c06af4..8bcc69c247a34 100644
--- a/libc/utils/MPFRWrapper/MPCommon.h
+++ b/libc/utils/MPFRWrapper/MPCommon.h
@@ -189,7 +189,6 @@ class MPFRNumber {
   MPFRNumber add(const MPFRNumber &b) const;
   MPFRNumber asin() const;
   MPFRNumber asinh() const;
-  MPFRNumber asinpi() const;
   MPFRNumber atan() const;
   MPFRNumber atan2(const MPFRNumber &b);
   MPFRNumber atanh() const;

diff  --git a/libc/utils/MPFRWrapper/MPFRUtils.cpp b/libc/utils/MPFRWrapper/MPFRUtils.cpp
index c58aae75cc700..8853f96ef8f92 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.cpp
+++ b/libc/utils/MPFRWrapper/MPFRUtils.cpp
@@ -38,8 +38,6 @@ unary_operation(Operation op, InputType input, unsigned int precision,
     return mpfrInput.asin();
   case Operation::Asinh:
     return mpfrInput.asinh();
-  case Operation::Asinpi:
-    return mpfrInput.asinpi();
   case Operation::Atan:
     return mpfrInput.atan();
   case Operation::Atanh:

diff  --git a/libc/utils/MPFRWrapper/MPFRUtils.h b/libc/utils/MPFRWrapper/MPFRUtils.h
index e805607328f63..45468c6cb19ae 100644
--- a/libc/utils/MPFRWrapper/MPFRUtils.h
+++ b/libc/utils/MPFRWrapper/MPFRUtils.h
@@ -30,7 +30,6 @@ enum class Operation : int {
   Acospi,
   Asin,
   Asinh,
-  Asinpi,
   Atan,
   Atanh,
   Cbrt,


        


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