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- /* _Float128 overrides for building ldbl-128 as _Float128.
- Copyright (C) 2017-2026 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- The GNU C Library is free software; you can redistribute it and/or
- modify it under the terms of the GNU Lesser General Public
- License as published by the Free Software Foundation; either
- version 2.1 of the License, or (at your option) any later version.
- The GNU C Library is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- Lesser General Public License for more details.
- You should have received a copy of the GNU Lesser General Public
- License along with the GNU C Library; if not, see
- <https://www.gnu.org/licenses/>. */
- /* This must be included before the function renames below. */
- #include <gmp.h>
- #include <math.h>
- #undef HUGE_VALL
- #define HUGE_VALL HUGE_VAL_F128
- #include <math/mul_splitl.h>
- /* This must be included before the renames of types and macros from
- it. */
- #include <ieee754.h>
- /* Renames derived from math_private.h. */
- #include <math_private.h>
- #include <fenv_private.h>
- #include <ieee754_float128.h>
- #define ieee854_long_double_shape_type ieee854_float128_shape_type
- #define ieee854_long_double ieee854_float128
- #undef GET_LDOUBLE_LSW64
- #undef GET_LDOUBLE_MSW64
- #undef GET_LDOUBLE_WORDS64
- #undef SET_LDOUBLE_LSW64
- #undef SET_LDOUBLE_MSW64
- #undef SET_LDOUBLE_WORDS64
- #define GET_LDOUBLE_LSW64(x,y) GET_FLOAT128_LSW64 (x, y)
- #define GET_LDOUBLE_MSW64(x,y) GET_FLOAT128_MSW64 (x, y)
- #define GET_LDOUBLE_WORDS64(x,y,z) GET_FLOAT128_WORDS64 (x, y, z)
- #define SET_LDOUBLE_LSW64(x,y) SET_FLOAT128_LSW64 (x, y)
- #define SET_LDOUBLE_MSW64(x,y) SET_FLOAT128_MSW64 (x, y)
- #define SET_LDOUBLE_WORDS64(x,y,z) SET_FLOAT128_WORDS64 (x, y, z)
- #undef IEEE854_LONG_DOUBLE_BIAS
- #define IEEE854_LONG_DOUBLE_BIAS IEEE854_FLOAT128_BIAS
- #ifdef SET_RESTORE_ROUNDF128
- # undef SET_RESTORE_ROUNDL
- # define SET_RESTORE_ROUNDL(RM) SET_RESTORE_ROUNDF128 (RM)
- #endif
- #ifdef libc_feholdexcept_setroundf128
- # undef libc_feholdexcept_setroundl
- # define libc_feholdexcept_setroundl(ENV, RM) \
- libc_feholdexcept_setroundf128 (ENV, RM)
- #endif
- #ifdef libc_feupdateenv_testf128
- # undef libc_feupdateenv_testl
- # define libc_feupdateenv_testl(ENV, EX) libc_feupdateenv_testf128 (ENV, EX)
- #endif
- /* misc macros from the header below. */
- #include <fix-fp-int-convert-overflow.h>
- #undef FIX_LDBL_LONG_CONVERT_OVERFLOW
- #undef FIX_LDBL_LLONG_CONVERT_OVERFLOW
- #define FIX_LDBL_LONG_CONVERT_OVERFLOW FIX_FLT128_LONG_CONVERT_OVERFLOW
- #define FIX_LDBL_LLONG_CONVERT_OVERFLOW FIX_FLT128_LLONG_CONVERT_OVERFLOW
- /* float.h constants. */
- #include <float.h>
- #undef LDBL_DIG
- #undef LDBL_EPSILON
- #undef LDBL_MANT_DIG
- #undef LDBL_MAX
- #undef LDBL_MAX_10_EXP
- #undef LDBL_MAX_EXP
- #undef LDBL_MIN
- #undef LDBL_MIN_10_EXP
- #undef LDBL_MIN_EXP
- #undef LDBL_TRUE_MIN
- #define LDBL_DIG FLT128_DIG
- #define LDBL_EPSILON FLT128_EPSILON
- #define LDBL_MANT_DIG FLT128_MANT_DIG
- #define LDBL_MAX FLT128_MAX
- #define LDBL_MAX_10_EXP FLT128_MAX_10_EXP
- #define LDBL_MAX_EXP FLT128_MAX_EXP
- #define LDBL_MIN FLT128_MIN
- #define LDBL_MIN_10_EXP FLT128_MIN_10_EXP
- #define LDBL_MIN_EXP FLT128_MIN_EXP
- #define LDBL_TRUE_MIN FLT128_TRUE_MIN
- /* math.h GNU constants. */
- #undef M_El
- #undef M_LOG2El
- #undef M_LOG10El
- #undef M_LN2l
- #undef M_LN10l
- #undef M_PIl
- #undef M_PI_2l
- #undef M_PI_4l
- #undef M_1_PIl
- #undef M_2_PIl
- #undef M_2_SQRTPIl
- #undef M_SQRT2l
- #undef M_SQRT1_2l
- #define M_El M_Ef128
- #define M_LOG2El M_LOG2Ef128
- #define M_LOG10El M_LOG10Ef128
- #define M_LN2l M_LN2f128
- #define M_LN10l M_LN10f128
- #define M_PIl M_PIf128
- #define M_PI_2l M_PI_2f128
- #define M_PI_4l M_PI_4f128
- #define M_1_PIl M_1_PIf128
- #define M_2_PIl M_2_PIf128
- #define M_2_SQRTPIl M_2_SQRTPIf128
- #define M_SQRT2l M_SQRT2f128
- #define M_SQRT1_2l M_SQRT1_2f128
- #include <libm-alias-ldouble.h>
- #include <libm-alias-float128.h>
- #undef libm_alias_ldouble_r
- #define libm_alias_ldouble_r(from, to, r) libm_alias_float128_r (from, to, r)
- #include <math/math-narrow.h>
- #undef libm_alias_float_ldouble
- #define libm_alias_float_ldouble(func) libm_alias_float32_float128 (func)
- #undef libm_alias_double_ldouble
- #define libm_alias_double_ldouble(func) libm_alias_float64_float128 (func)
- #undef libm_alias_ldouble_narrow
- #define libm_alias_ldouble_narrow(from, to) \
- libm_alias_float128_narrow (from, to)
- #undef USE_NEARBYINTL_BUILTIN
- #define USE_NEARBYINTL_BUILTIN USE_NEARBYINTF128_BUILTIN
- #undef USE_RINTL_BUILTIN
- #define USE_RINTL_BUILTIN USE_RINTF128_BUILTIN
- #undef USE_FLOORL_BUILTIN
- #define USE_FLOORL_BUILTIN USE_FLOORF128_BUILTIN
- #undef USE_CEILL_BUILTIN
- #define USE_CEILL_BUILTIN USE_CEILF128_BUILTIN
- #undef USE_TRUNCL_BUILTIN
- #define USE_TRUNCL_BUILTIN USE_TRUNCF128_BUILTIN
- #undef USE_ROUNDL_BUILTIN
- #define USE_ROUNDL_BUILTIN USE_ROUNDF128_BUILTIN
- #undef USE_ROUNDEVENL_BUILTIN
- #define USE_ROUNDEVENL_BUILTIN USE_ROUNDEVENF128_BUILTIN
- #undef USE_COPYSIGNL_BUILTIN
- #define USE_COPYSIGNL_BUILTIN USE_COPYSIGNF128_BUILTIN
- #undef USE_FMAL_BUILTIN
- #define USE_FMAL_BUILTIN USE_FMAF128_BUILTIN
- #undef USE_LRINTL_BUILTIN
- #define USE_LRINTL_BUILTIN USE_LRINTF128_BUILTIN
- #undef USE_LLRINTL_BUILTIN
- #define USE_LLRINTL_BUILTIN USE_LLRINTF128_BUILTIN
- #undef USE_LOGBL_BUILTIN
- #define USE_LOGBL_BUILTIN USE_LOGBF128_BUILTIN
- /* IEEE function renames. */
- #define __ieee754_acoshl __ieee754_acoshf128
- #define __ieee754_acosl __ieee754_acosf128
- #define __ieee754_asinhl __ieee754_asinhf128
- #define __ieee754_asinl __ieee754_asinf128
- #define __ieee754_atan2l __ieee754_atan2f128
- #define __ieee754_atanhl __ieee754_atanhf128
- #define __ieee754_coshl __ieee754_coshf128
- #define __ieee754_cosl __ieee754_cosf128
- #define __ieee754_exp10l __ieee754_exp10f128
- #define __ieee754_exp2l __ieee754_exp2f128
- #define __ieee754_expl __ieee754_expf128
- #define __ieee754_fmodl __ieee754_fmodf128
- #define __ieee754_gammal_r __ieee754_gammaf128_r
- #define __ieee754_hypotl __ieee754_hypotf128
- #define __ieee754_ilogbl __ieee754_ilogbf128
- #define __ieee754_j0l __ieee754_j0f128
- #define __ieee754_j1l __ieee754_j1f128
- #define __ieee754_jnl __ieee754_jnf128
- #define __ieee754_lgammal_r __ieee754_lgammaf128_r
- #define __ieee754_log10l __ieee754_log10f128
- #define __ieee754_log2l __ieee754_log2f128
- #define __ieee754_logl __ieee754_logf128
- #define __ieee754_powl __ieee754_powf128
- #define __ieee754_rem_pio2l __ieee754_rem_pio2f128
- #define __ieee754_remainderl __ieee754_remainderf128
- #define __ieee754_sinhl __ieee754_sinhf128
- #define __ieee754_sqrtl __ieee754_sqrtf128
- #define __ieee754_y0l __ieee754_y0f128
- #define __ieee754_y1l __ieee754_y1f128
- #define __ieee754_ynl __ieee754_ynf128
- /* finite math entry points. */
- #define __acoshl_finite __acoshf128_finite
- #define __acosl_finite __acosf128_finite
- #define __asinl_finite __asinf128_finite
- #define __atan2l_finite __atan2f128_finite
- #define __atanhl_finite __atanhf128_finite
- #define __coshl_finite __coshf128_finite
- #define __cosl_finite __cosf128_finite
- #define __exp10l_finite __exp10f128_finite
- #define __exp2l_finite __exp2f128_finite
- #define __expl_finite __expf128_finite
- #define __fmodl_finite __fmodf128_finite
- #define __hypotl_finite __hypotf128_finite
- #define __ilogbl_finite __ilogbf128_finite
- #define __j0l_finite __j0f128_finite
- #define __j1l_finite __j1f128_finite
- #define __jnl_finite __jnf128_finite
- #define __lgammal_r_finite __lgammaf128_r_finite
- #define __log10l_finite __log10f128_finite
- #define __log2l_finite __log2f128_finite
- #define __logl_finite __logf128_finite
- #define __powl_finite __powf128_finite
- #define __remainderl_finite __remainderf128_finite
- #define __sinhl_finite __sinhf128_finite
- #define __y0l_finite __y0f128_finite
- #define __y1l_finite __y1f128_finite
- #define __ynl_finite __ynf128_finite
- /* internal function names. */
- #define __asinhl __asinhf128
- #define __atanl __atanf128
- #define __cbrtl __cbrtf128
- #define __ceill __ceilf128
- #define __copysignl __copysignf128
- #define __cosl __cosf128
- #define __erfcl __erfcf128
- #define __erfl __erff128
- #define __expl __expf128
- #define __expm1l __expm1f128
- #define __fabsl __fabsf128
- #define __fdiml __fdimf128
- #define __finitel __finitef128
- #define __floorl __floorf128
- #define __fmal __fmaf128
- #define __fmaxl __fmaxf128
- #define __fminl __fminf128
- #define __fpclassifyl __fpclassifyf128
- #define __frexpl __frexpf128
- #define __gammal_r_finite __gammaf128_r_finite
- #define __getpayloadl __getpayloadf128
- #define __isinfl __isinff128
- #define __isnanl __isnanf128
- #define __issignalingl __issignalingf128
- #define __ldexpl __ldexpf128
- #define __llrintl __llrintf128
- #define __llroundl __llroundf128
- #define __log1pl __log1pf128
- #define __logbl __logbf128
- #define __logl __logf128
- #define __lrintl __lrintf128
- #define __lroundl __lroundf128
- #define __modfl __modff128
- #define __nearbyintl __nearbyintf128
- #define __nextafterl __nextafterf128
- #define __nextdownl __nextdownf128
- #define __nextupl __nextupf128
- #define __remquol __remquof128
- #define __rintl __rintf128
- #define __roundevenl __roundevenf128
- #define __roundl __roundf128
- #define __scalblnl __scalblnf128
- #define __scalbnl __scalbnf128
- #define __signbitl __signbitf128
- #define __sincosl __sincosf128
- #define __sinl __sinf128
- #define __sqrtl __sqrtf128
- #define __tanhl __tanhf128
- #define __tanl __tanf128
- #define __totalorderl __totalorderf128
- #define __totalorder_compatl __totalorder_compatf128
- #define __totalordermagl __totalordermagf128
- #define __totalordermag_compatl __totalordermag_compatf128
- #define __truncl __truncf128
- #define __x2y2m1l __x2y2m1f128
- #define __faddl __f32addf128
- #define __daddl __f64addf128
- #define __fdivl __f32divf128
- #define __ddivl __f64divf128
- #define __ffmal __f32fmaf128
- #define __dfmal __f64fmaf128
- #define __fmull __f32mulf128
- #define __dmull __f64mulf128
- #define __fsqrtl __f32sqrtf128
- #define __dsqrtl __f64sqrtf128
- #define __fsubl __f32subf128
- #define __dsubl __f64subf128
- /* Used on __finite compat alias. */
- #define __acosl __acosf128
- #define __acoshl __acoshf128
- #define __asinl __asinf128
- #define __atan2l __atan2f128
- #define __atanhl __atanhf128
- #define __coshl __coshf128
- #define __exp10l __exp10f128
- #define __expl __expf128
- #define __fmodl __fmodf128
- #define __gammal_r __gammaf128_r
- #define __hypotl __hypotf128
- #define __j0l __j0f128
- #define __j1l __j1f128
- #define __jnl __jnf128
- #define __lgammal_r __lgammaf128_r
- #define __log10l __log10f128
- #define __log2l __log2f128
- #define __logl __logf128
- #define __powl __powf128
- #define __remainderl __remainderf128
- #define __sinhl __sinhf128
- #define __y0l __y0f128
- #define __y1l __y1f128
- #define __ynl __ynf128
- /* __nexttowardf128 is not _Float128 API. */
- #define __nexttowardl __nexttowardf128_do_not_use
- #define nexttowardl nexttowardf128_do_not_use
- /* public entry points. */
- #define asinhl asinhf128
- #define atanl atanf128
- #define cbrtl cbrtf128
- #define ceill ceilf128
- #define copysignl copysignf128
- #define cosl cosf128
- #define erfcl erfcf128
- #define erfl erff128
- #define expl expf128
- #define expm1l expm1f128
- #define fabsl fabsf128
- #define fdiml fdimf128
- #define finitel finitef128_do_not_use
- #define floorl floorf128
- #define fmal fmaf128
- #define fmaxl fmaxf128
- #define fminl fminf128
- #define frexpl frexpf128
- #define getpayloadl getpayloadf128
- #define isinfl isinff128_do_not_use
- #define isnanl isnanf128_do_not_use
- #define ldexpl ldexpf128
- #define llrintl llrintf128
- #define llroundl llroundf128
- #define log1pl log1pf128
- #define logbl logbf128
- #define logp1l logp1f128
- #define logl logf128
- #define lrintl lrintf128
- #define lroundl lroundf128
- #define modfl modff128
- #define nanl nanf128
- #define nearbyintl nearbyintf128
- #define nextafterl nextafterf128
- #define nextdownl nextdownf128
- #define nextupl nextupf128
- #define remquol remquof128
- #define rintl rintf128
- #define roundevenl roundevenf128
- #define roundl roundf128
- #define scalbnl scalbnf128
- #define sincosl sincosf128
- #define sinl sinf128
- #define sqrtl sqrtf128
- #define tanhl tanhf128
- #define tanl tanf128
- #define totalorderl totalorderf128
- #define totalordermagl totalordermagf128
- #define truncl truncf128
- /* misc internal renames. */
- #define __builtin_fmal __builtin_fmaf128
- #define __expl_table __expf128_table
- #define __gamma_productl __gamma_productf128
- #define __kernel_cosl __kernel_cosf128
- #define __kernel_rem_pio2l __kernel_rem_pio2f128
- #define __kernel_sincosl __kernel_sincosf128
- #define __kernel_sinl __kernel_sinf128
- #define __kernel_tanl __kernel_tanf128
- #define __lgamma_negl __lgamma_negf128
- #define __lgamma_productl __lgamma_productf128
- #define __mpn_extract_long_double __mpn_extract_float128
- #define __sincosl_table __sincosf128_table
- #define mul_splitl mul_splitf128
- /* Builtin renames. */
- #define __builtin_copysignl __builtin_copysignf128
- #define __builtin_signbitl __builtin_signbit
- #define __builtin_nearbyintl __builtin_nearbyintf128
- #define __builtin_rintl __builtin_rintf128
- #define __builtin_floorl __builtin_floorf128
- #define __builtin_ceill __builtin_ceilf128
- #define __builtin_truncl __builtin_truncf128
- #define __builtin_roundl __builtin_roundf128
- #define __builtin_roundevenl __builtin_roundevenf128
- #define __builtin_lrintl __builtin_lrintf128
- #define __builtin_llrintl __builtin_llrintf128
- #define __builtin_copysignl __builtin_copysignf128
- #define __builtin_fabsl __builtin_fabsf128
- /* Get the constant suffix from bits/floatn-compat.h. */
- #define L(x) __f128 (x)
- static inline void
- mul_splitf128 (_Float128 *hi, _Float128 *lo, _Float128 x, _Float128 y)
- {
- #ifdef __FP_FAST_FMAF128
- /* Fast built-in fused multiply-add. */
- *hi = x * y;
- *lo = __builtin_fmal (x, y, -*hi);
- #else
- /* Apply Dekker's algorithm. */
- *hi = x * y;
- # define C ((1LL << (FLT128_MANT_DIG + 1) / 2) + 1)
- _Float128 x1 = x * C;
- _Float128 y1 = y * C;
- # undef C
- x1 = (x - x1) + x1;
- y1 = (y - y1) + y1;
- _Float128 x2 = x - x1;
- _Float128 y2 = y - y1;
- *lo = (((x1 * y1 - *hi) + x1 * y2) + x2 * y1) + x2 * y2;
- #endif
- }
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