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      1 // -*- C++ -*-
      2 //===---------------------------- math.h ----------------------------------===//
      3 //
      4 //                     The LLVM Compiler Infrastructure
      5 //
      6 // This file is dual licensed under the MIT and the University of Illinois Open
      7 // Source Licenses. See LICENSE.TXT for details.
      8 //
      9 //===----------------------------------------------------------------------===//
     10 
     11 #ifndef _LIBCPP_MATH_H
     12 #define _LIBCPP_MATH_H
     13 
     14 /*
     15     math.h synopsis
     16 
     17 Macros:
     18 
     19     HUGE_VAL
     20     HUGE_VALF               // C99
     21     HUGE_VALL               // C99
     22     INFINITY                // C99
     23     NAN                     // C99
     24     FP_INFINITE             // C99
     25     FP_NAN                  // C99
     26     FP_NORMAL               // C99
     27     FP_SUBNORMAL            // C99
     28     FP_ZERO                 // C99
     29     FP_FAST_FMA             // C99
     30     FP_FAST_FMAF            // C99
     31     FP_FAST_FMAL            // C99
     32     FP_ILOGB0               // C99
     33     FP_ILOGBNAN             // C99
     34     MATH_ERRNO              // C99
     35     MATH_ERREXCEPT          // C99
     36     math_errhandling        // C99
     37 
     38 Types:
     39 
     40     float_t                 // C99
     41     double_t                // C99
     42 
     43 // C90
     44 
     45 floating_point abs(floating_point x);
     46 
     47 floating_point acos (arithmetic x);
     48 float          acosf(float x);
     49 long double    acosl(long double x);
     50 
     51 floating_point asin (arithmetic x);
     52 float          asinf(float x);
     53 long double    asinl(long double x);
     54 
     55 floating_point atan (arithmetic x);
     56 float          atanf(float x);
     57 long double    atanl(long double x);
     58 
     59 floating_point atan2 (arithmetic y, arithmetic x);
     60 float          atan2f(float y, float x);
     61 long double    atan2l(long double y, long double x);
     62 
     63 floating_point ceil (arithmetic x);
     64 float          ceilf(float x);
     65 long double    ceill(long double x);
     66 
     67 floating_point cos (arithmetic x);
     68 float          cosf(float x);
     69 long double    cosl(long double x);
     70 
     71 floating_point cosh (arithmetic x);
     72 float          coshf(float x);
     73 long double    coshl(long double x);
     74 
     75 floating_point exp (arithmetic x);
     76 float          expf(float x);
     77 long double    expl(long double x);
     78 
     79 floating_point fabs (arithmetic x);
     80 float          fabsf(float x);
     81 long double    fabsl(long double x);
     82 
     83 floating_point floor (arithmetic x);
     84 float          floorf(float x);
     85 long double    floorl(long double x);
     86 
     87 floating_point fmod (arithmetic x, arithmetic y);
     88 float          fmodf(float x, float y);
     89 long double    fmodl(long double x, long double y);
     90 
     91 floating_point frexp (arithmetic value, int* exp);
     92 float          frexpf(float value, int* exp);
     93 long double    frexpl(long double value, int* exp);
     94 
     95 floating_point ldexp (arithmetic value, int exp);
     96 float          ldexpf(float value, int exp);
     97 long double    ldexpl(long double value, int exp);
     98 
     99 floating_point log (arithmetic x);
    100 float          logf(float x);
    101 long double    logl(long double x);
    102 
    103 floating_point log10 (arithmetic x);
    104 float          log10f(float x);
    105 long double    log10l(long double x);
    106 
    107 floating_point modf (floating_point value, floating_point* iptr);
    108 float          modff(float value, float* iptr);
    109 long double    modfl(long double value, long double* iptr);
    110 
    111 floating_point pow (arithmetic x, arithmetic y);
    112 float          powf(float x, float y);
    113 long double    powl(long double x, long double y);
    114 
    115 floating_point sin (arithmetic x);
    116 float          sinf(float x);
    117 long double    sinl(long double x);
    118 
    119 floating_point sinh (arithmetic x);
    120 float          sinhf(float x);
    121 long double    sinhl(long double x);
    122 
    123 floating_point sqrt (arithmetic x);
    124 float          sqrtf(float x);
    125 long double    sqrtl(long double x);
    126 
    127 floating_point tan (arithmetic x);
    128 float          tanf(float x);
    129 long double    tanl(long double x);
    130 
    131 floating_point tanh (arithmetic x);
    132 float          tanhf(float x);
    133 long double    tanhl(long double x);
    134 
    135 //  C99
    136 
    137 bool signbit(arithmetic x);
    138 
    139 int fpclassify(arithmetic x);
    140 
    141 bool isfinite(arithmetic x);
    142 bool isinf(arithmetic x);
    143 bool isnan(arithmetic x);
    144 bool isnormal(arithmetic x);
    145 
    146 bool isgreater(arithmetic x, arithmetic y);
    147 bool isgreaterequal(arithmetic x, arithmetic y);
    148 bool isless(arithmetic x, arithmetic y);
    149 bool islessequal(arithmetic x, arithmetic y);
    150 bool islessgreater(arithmetic x, arithmetic y);
    151 bool isunordered(arithmetic x, arithmetic y);
    152 
    153 floating_point acosh (arithmetic x);
    154 float          acoshf(float x);
    155 long double    acoshl(long double x);
    156 
    157 floating_point asinh (arithmetic x);
    158 float          asinhf(float x);
    159 long double    asinhl(long double x);
    160 
    161 floating_point atanh (arithmetic x);
    162 float          atanhf(float x);
    163 long double    atanhl(long double x);
    164 
    165 floating_point cbrt (arithmetic x);
    166 float          cbrtf(float x);
    167 long double    cbrtl(long double x);
    168 
    169 floating_point copysign (arithmetic x, arithmetic y);
    170 float          copysignf(float x, float y);
    171 long double    copysignl(long double x, long double y);
    172 
    173 floating_point erf (arithmetic x);
    174 float          erff(float x);
    175 long double    erfl(long double x);
    176 
    177 floating_point erfc (arithmetic x);
    178 float          erfcf(float x);
    179 long double    erfcl(long double x);
    180 
    181 floating_point exp2 (arithmetic x);
    182 float          exp2f(float x);
    183 long double    exp2l(long double x);
    184 
    185 floating_point expm1 (arithmetic x);
    186 float          expm1f(float x);
    187 long double    expm1l(long double x);
    188 
    189 floating_point fdim (arithmetic x, arithmetic y);
    190 float          fdimf(float x, float y);
    191 long double    fdiml(long double x, long double y);
    192 
    193 floating_point fma (arithmetic x, arithmetic y, arithmetic z);
    194 float          fmaf(float x, float y, float z);
    195 long double    fmal(long double x, long double y, long double z);
    196 
    197 floating_point fmax (arithmetic x, arithmetic y);
    198 float          fmaxf(float x, float y);
    199 long double    fmaxl(long double x, long double y);
    200 
    201 floating_point fmin (arithmetic x, arithmetic y);
    202 float          fminf(float x, float y);
    203 long double    fminl(long double x, long double y);
    204 
    205 floating_point hypot (arithmetic x, arithmetic y);
    206 float          hypotf(float x, float y);
    207 long double    hypotl(long double x, long double y);
    208 
    209 int ilogb (arithmetic x);
    210 int ilogbf(float x);
    211 int ilogbl(long double x);
    212 
    213 floating_point lgamma (arithmetic x);
    214 float          lgammaf(float x);
    215 long double    lgammal(long double x);
    216 
    217 long long llrint (arithmetic x);
    218 long long llrintf(float x);
    219 long long llrintl(long double x);
    220 
    221 long long llround (arithmetic x);
    222 long long llroundf(float x);
    223 long long llroundl(long double x);
    224 
    225 floating_point log1p (arithmetic x);
    226 float          log1pf(float x);
    227 long double    log1pl(long double x);
    228 
    229 floating_point log2 (arithmetic x);
    230 float          log2f(float x);
    231 long double    log2l(long double x);
    232 
    233 floating_point logb (arithmetic x);
    234 float          logbf(float x);
    235 long double    logbl(long double x);
    236 
    237 long lrint (arithmetic x);
    238 long lrintf(float x);
    239 long lrintl(long double x);
    240 
    241 long lround (arithmetic x);
    242 long lroundf(float x);
    243 long lroundl(long double x);
    244 
    245 double      nan (const char* str);
    246 float       nanf(const char* str);
    247 long double nanl(const char* str);
    248 
    249 floating_point nearbyint (arithmetic x);
    250 float          nearbyintf(float x);
    251 long double    nearbyintl(long double x);
    252 
    253 floating_point nextafter (arithmetic x, arithmetic y);
    254 float          nextafterf(float x, float y);
    255 long double    nextafterl(long double x, long double y);
    256 
    257 floating_point nexttoward (arithmetic x, long double y);
    258 float          nexttowardf(float x, long double y);
    259 long double    nexttowardl(long double x, long double y);
    260 
    261 floating_point remainder (arithmetic x, arithmetic y);
    262 float          remainderf(float x, float y);
    263 long double    remainderl(long double x, long double y);
    264 
    265 floating_point remquo (arithmetic x, arithmetic y, int* pquo);
    266 float          remquof(float x, float y, int* pquo);
    267 long double    remquol(long double x, long double y, int* pquo);
    268 
    269 floating_point rint (arithmetic x);
    270 float          rintf(float x);
    271 long double    rintl(long double x);
    272 
    273 floating_point round (arithmetic x);
    274 float          roundf(float x);
    275 long double    roundl(long double x);
    276 
    277 floating_point scalbln (arithmetic x, long ex);
    278 float          scalblnf(float x, long ex);
    279 long double    scalblnl(long double x, long ex);
    280 
    281 floating_point scalbn (arithmetic x, int ex);
    282 float          scalbnf(float x, int ex);
    283 long double    scalbnl(long double x, int ex);
    284 
    285 floating_point tgamma (arithmetic x);
    286 float          tgammaf(float x);
    287 long double    tgammal(long double x);
    288 
    289 floating_point trunc (arithmetic x);
    290 float          truncf(float x);
    291 long double    truncl(long double x);
    292 
    293 */
    294 
    295 #include <__config>
    296 
    297 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
    298 #pragma GCC system_header
    299 #endif
    300 
    301 #include_next <math.h>
    302 
    303 #ifdef __cplusplus
    304 
    305 // We support including .h headers inside 'extern "C"' contexts, so switch
    306 // back to C++ linkage before including these C++ headers.
    307 extern "C++" {
    308 
    309 #include <type_traits>
    310 
    311 #ifdef _LIBCPP_MSVCRT
    312 #include "support/win32/math_win32.h"
    313 #endif
    314 
    315 // signbit
    316 
    317 #ifdef signbit
    318 
    319 template <class _A1>
    320 _LIBCPP_ALWAYS_INLINE
    321 bool
    322 __libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT
    323 {
    324     return signbit(__lcpp_x);
    325 }
    326 
    327 #undef signbit
    328 
    329 template <class _A1>
    330 inline _LIBCPP_INLINE_VISIBILITY
    331 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
    332 signbit(_A1 __lcpp_x) _NOEXCEPT
    333 {
    334     return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x);
    335 }
    336 
    337 #endif  // signbit
    338 
    339 // fpclassify
    340 
    341 #ifdef fpclassify
    342 
    343 template <class _A1>
    344 _LIBCPP_ALWAYS_INLINE
    345 int
    346 __libcpp_fpclassify(_A1 __lcpp_x) _NOEXCEPT
    347 {
    348     return fpclassify(__lcpp_x);
    349 }
    350 
    351 #undef fpclassify
    352 
    353 template <class _A1>
    354 inline _LIBCPP_INLINE_VISIBILITY
    355 typename std::enable_if<std::is_arithmetic<_A1>::value, int>::type
    356 fpclassify(_A1 __lcpp_x) _NOEXCEPT
    357 {
    358     return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x);
    359 }
    360 
    361 #endif  // fpclassify
    362 
    363 // isfinite
    364 
    365 #ifdef isfinite
    366 
    367 template <class _A1>
    368 _LIBCPP_ALWAYS_INLINE
    369 bool
    370 __libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT
    371 {
    372     return isfinite(__lcpp_x);
    373 }
    374 
    375 #undef isfinite
    376 
    377 template <class _A1>
    378 inline _LIBCPP_INLINE_VISIBILITY
    379 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
    380 isfinite(_A1 __lcpp_x) _NOEXCEPT
    381 {
    382     return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x);
    383 }
    384 
    385 #endif  // isfinite
    386 
    387 // isinf
    388 
    389 #ifdef isinf
    390 
    391 template <class _A1>
    392 _LIBCPP_ALWAYS_INLINE
    393 bool
    394 __libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT
    395 {
    396     return isinf(__lcpp_x);
    397 }
    398 
    399 #undef isinf
    400 
    401 template <class _A1>
    402 inline _LIBCPP_INLINE_VISIBILITY
    403 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
    404 isinf(_A1 __lcpp_x) _NOEXCEPT
    405 {
    406     return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x);
    407 }
    408 
    409 #endif  // isinf
    410 
    411 // isnan
    412 
    413 #ifdef isnan
    414 
    415 template <class _A1>
    416 _LIBCPP_ALWAYS_INLINE
    417 bool
    418 __libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT
    419 {
    420     return isnan(__lcpp_x);
    421 }
    422 
    423 #undef isnan
    424 
    425 template <class _A1>
    426 inline _LIBCPP_INLINE_VISIBILITY
    427 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
    428 isnan(_A1 __lcpp_x) _NOEXCEPT
    429 {
    430     return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x);
    431 }
    432 
    433 #endif  // isnan
    434 
    435 // isnormal
    436 
    437 #ifdef isnormal
    438 
    439 template <class _A1>
    440 _LIBCPP_ALWAYS_INLINE
    441 bool
    442 __libcpp_isnormal(_A1 __lcpp_x) _NOEXCEPT
    443 {
    444     return isnormal(__lcpp_x);
    445 }
    446 
    447 #undef isnormal
    448 
    449 template <class _A1>
    450 inline _LIBCPP_INLINE_VISIBILITY
    451 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
    452 isnormal(_A1 __lcpp_x) _NOEXCEPT
    453 {
    454     return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x);
    455 }
    456 
    457 #endif  // isnormal
    458 
    459 // isgreater
    460 
    461 #ifdef isgreater
    462 
    463 template <class _A1, class _A2>
    464 _LIBCPP_ALWAYS_INLINE
    465 bool
    466 __libcpp_isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    467 {
    468     return isgreater(__lcpp_x, __lcpp_y);
    469 }
    470 
    471 #undef isgreater
    472 
    473 template <class _A1, class _A2>
    474 inline _LIBCPP_INLINE_VISIBILITY
    475 typename std::enable_if
    476 <
    477     std::is_arithmetic<_A1>::value &&
    478     std::is_arithmetic<_A2>::value,
    479     bool
    480 >::type
    481 isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    482 {
    483     typedef typename std::__promote<_A1, _A2>::type type;
    484     return __libcpp_isgreater((type)__lcpp_x, (type)__lcpp_y);
    485 }
    486 
    487 #endif  // isgreater
    488 
    489 // isgreaterequal
    490 
    491 #ifdef isgreaterequal
    492 
    493 template <class _A1, class _A2>
    494 _LIBCPP_ALWAYS_INLINE
    495 bool
    496 __libcpp_isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    497 {
    498     return isgreaterequal(__lcpp_x, __lcpp_y);
    499 }
    500 
    501 #undef isgreaterequal
    502 
    503 template <class _A1, class _A2>
    504 inline _LIBCPP_INLINE_VISIBILITY
    505 typename std::enable_if
    506 <
    507     std::is_arithmetic<_A1>::value &&
    508     std::is_arithmetic<_A2>::value,
    509     bool
    510 >::type
    511 isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    512 {
    513     typedef typename std::__promote<_A1, _A2>::type type;
    514     return __libcpp_isgreaterequal((type)__lcpp_x, (type)__lcpp_y);
    515 }
    516 
    517 #endif  // isgreaterequal
    518 
    519 // isless
    520 
    521 #ifdef isless
    522 
    523 template <class _A1, class _A2>
    524 _LIBCPP_ALWAYS_INLINE
    525 bool
    526 __libcpp_isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    527 {
    528     return isless(__lcpp_x, __lcpp_y);
    529 }
    530 
    531 #undef isless
    532 
    533 template <class _A1, class _A2>
    534 inline _LIBCPP_INLINE_VISIBILITY
    535 typename std::enable_if
    536 <
    537     std::is_arithmetic<_A1>::value &&
    538     std::is_arithmetic<_A2>::value,
    539     bool
    540 >::type
    541 isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    542 {
    543     typedef typename std::__promote<_A1, _A2>::type type;
    544     return __libcpp_isless((type)__lcpp_x, (type)__lcpp_y);
    545 }
    546 
    547 #endif  // isless
    548 
    549 // islessequal
    550 
    551 #ifdef islessequal
    552 
    553 template <class _A1, class _A2>
    554 _LIBCPP_ALWAYS_INLINE
    555 bool
    556 __libcpp_islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    557 {
    558     return islessequal(__lcpp_x, __lcpp_y);
    559 }
    560 
    561 #undef islessequal
    562 
    563 template <class _A1, class _A2>
    564 inline _LIBCPP_INLINE_VISIBILITY
    565 typename std::enable_if
    566 <
    567     std::is_arithmetic<_A1>::value &&
    568     std::is_arithmetic<_A2>::value,
    569     bool
    570 >::type
    571 islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    572 {
    573     typedef typename std::__promote<_A1, _A2>::type type;
    574     return __libcpp_islessequal((type)__lcpp_x, (type)__lcpp_y);
    575 }
    576 
    577 #endif  // islessequal
    578 
    579 // islessgreater
    580 
    581 #ifdef islessgreater
    582 
    583 template <class _A1, class _A2>
    584 _LIBCPP_ALWAYS_INLINE
    585 bool
    586 __libcpp_islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    587 {
    588     return islessgreater(__lcpp_x, __lcpp_y);
    589 }
    590 
    591 #undef islessgreater
    592 
    593 template <class _A1, class _A2>
    594 inline _LIBCPP_INLINE_VISIBILITY
    595 typename std::enable_if
    596 <
    597     std::is_arithmetic<_A1>::value &&
    598     std::is_arithmetic<_A2>::value,
    599     bool
    600 >::type
    601 islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    602 {
    603     typedef typename std::__promote<_A1, _A2>::type type;
    604     return __libcpp_islessgreater((type)__lcpp_x, (type)__lcpp_y);
    605 }
    606 
    607 #endif  // islessgreater
    608 
    609 // isunordered
    610 
    611 #ifdef isunordered
    612 
    613 template <class _A1, class _A2>
    614 _LIBCPP_ALWAYS_INLINE
    615 bool
    616 __libcpp_isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    617 {
    618     return isunordered(__lcpp_x, __lcpp_y);
    619 }
    620 
    621 #undef isunordered
    622 
    623 template <class _A1, class _A2>
    624 inline _LIBCPP_INLINE_VISIBILITY
    625 typename std::enable_if
    626 <
    627     std::is_arithmetic<_A1>::value &&
    628     std::is_arithmetic<_A2>::value,
    629     bool
    630 >::type
    631 isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    632 {
    633     typedef typename std::__promote<_A1, _A2>::type type;
    634     return __libcpp_isunordered((type)__lcpp_x, (type)__lcpp_y);
    635 }
    636 
    637 #endif  // isunordered
    638 
    639 #ifndef __sun__
    640 
    641 // abs
    642 
    643 #if !defined(_AIX)
    644 inline _LIBCPP_INLINE_VISIBILITY
    645 float
    646 abs(float __lcpp_x) _NOEXCEPT {return fabsf(__lcpp_x);}
    647 
    648 inline _LIBCPP_INLINE_VISIBILITY
    649 double
    650 abs(double __lcpp_x) _NOEXCEPT {return fabs(__lcpp_x);}
    651 
    652 inline _LIBCPP_INLINE_VISIBILITY
    653 long double
    654 abs(long double __lcpp_x) _NOEXCEPT {return fabsl(__lcpp_x);}
    655 #endif // !defined(_AIX)
    656 
    657 // acos
    658 
    659 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    660 inline _LIBCPP_INLINE_VISIBILITY float       acos(float __lcpp_x) _NOEXCEPT       {return acosf(__lcpp_x);}
    661 inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return acosl(__lcpp_x);}
    662 #endif
    663 
    664 template <class _A1>
    665 inline _LIBCPP_INLINE_VISIBILITY
    666 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    667 acos(_A1 __lcpp_x) _NOEXCEPT {return acos((double)__lcpp_x);}
    668 
    669 // asin
    670 
    671 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    672 inline _LIBCPP_INLINE_VISIBILITY float       asin(float __lcpp_x) _NOEXCEPT       {return asinf(__lcpp_x);}
    673 inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return asinl(__lcpp_x);}
    674 #endif
    675 
    676 template <class _A1>
    677 inline _LIBCPP_INLINE_VISIBILITY
    678 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    679 asin(_A1 __lcpp_x) _NOEXCEPT {return asin((double)__lcpp_x);}
    680 
    681 // atan
    682 
    683 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    684 inline _LIBCPP_INLINE_VISIBILITY float       atan(float __lcpp_x) _NOEXCEPT       {return atanf(__lcpp_x);}
    685 inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return atanl(__lcpp_x);}
    686 #endif
    687 
    688 template <class _A1>
    689 inline _LIBCPP_INLINE_VISIBILITY
    690 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    691 atan(_A1 __lcpp_x) _NOEXCEPT {return atan((double)__lcpp_x);}
    692 
    693 // atan2
    694 
    695 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    696 inline _LIBCPP_INLINE_VISIBILITY float       atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT             {return atan2f(__lcpp_y, __lcpp_x);}
    697 inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return atan2l(__lcpp_y, __lcpp_x);}
    698 #endif
    699 
    700 template <class _A1, class _A2>
    701 inline _LIBCPP_INLINE_VISIBILITY
    702 typename std::__lazy_enable_if
    703 <
    704     std::is_arithmetic<_A1>::value &&
    705     std::is_arithmetic<_A2>::value,
    706     std::__promote<_A1, _A2>
    707 >::type
    708 atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT
    709 {
    710     typedef typename std::__promote<_A1, _A2>::type __result_type;
    711     static_assert((!(std::is_same<_A1, __result_type>::value &&
    712                      std::is_same<_A2, __result_type>::value)), "");
    713     return atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x);
    714 }
    715 
    716 // ceil
    717 
    718 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    719 inline _LIBCPP_INLINE_VISIBILITY float       ceil(float __lcpp_x) _NOEXCEPT       {return ceilf(__lcpp_x);}
    720 inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ceill(__lcpp_x);}
    721 #endif
    722 
    723 template <class _A1>
    724 inline _LIBCPP_INLINE_VISIBILITY
    725 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    726 ceil(_A1 __lcpp_x) _NOEXCEPT {return ceil((double)__lcpp_x);}
    727 
    728 // cos
    729 
    730 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    731 inline _LIBCPP_INLINE_VISIBILITY float       cos(float __lcpp_x) _NOEXCEPT       {return cosf(__lcpp_x);}
    732 inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return cosl(__lcpp_x);}
    733 #endif
    734 
    735 template <class _A1>
    736 inline _LIBCPP_INLINE_VISIBILITY
    737 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    738 cos(_A1 __lcpp_x) _NOEXCEPT {return cos((double)__lcpp_x);}
    739 
    740 // cosh
    741 
    742 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    743 inline _LIBCPP_INLINE_VISIBILITY float       cosh(float __lcpp_x) _NOEXCEPT       {return coshf(__lcpp_x);}
    744 inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return coshl(__lcpp_x);}
    745 #endif
    746 
    747 template <class _A1>
    748 inline _LIBCPP_INLINE_VISIBILITY
    749 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    750 cosh(_A1 __lcpp_x) _NOEXCEPT {return cosh((double)__lcpp_x);}
    751 
    752 // exp
    753 
    754 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    755 inline _LIBCPP_INLINE_VISIBILITY float       exp(float __lcpp_x) _NOEXCEPT       {return expf(__lcpp_x);}
    756 inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return expl(__lcpp_x);}
    757 #endif
    758 
    759 template <class _A1>
    760 inline _LIBCPP_INLINE_VISIBILITY
    761 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    762 exp(_A1 __lcpp_x) _NOEXCEPT {return exp((double)__lcpp_x);}
    763 
    764 // fabs
    765 
    766 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    767 inline _LIBCPP_INLINE_VISIBILITY float       fabs(float __lcpp_x) _NOEXCEPT       {return fabsf(__lcpp_x);}
    768 inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return fabsl(__lcpp_x);}
    769 #endif
    770 
    771 template <class _A1>
    772 inline _LIBCPP_INLINE_VISIBILITY
    773 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    774 fabs(_A1 __lcpp_x) _NOEXCEPT {return fabs((double)__lcpp_x);}
    775 
    776 // floor
    777 
    778 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    779 inline _LIBCPP_INLINE_VISIBILITY float       floor(float __lcpp_x) _NOEXCEPT       {return floorf(__lcpp_x);}
    780 inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return floorl(__lcpp_x);}
    781 #endif
    782 
    783 template <class _A1>
    784 inline _LIBCPP_INLINE_VISIBILITY
    785 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    786 floor(_A1 __lcpp_x) _NOEXCEPT {return floor((double)__lcpp_x);}
    787 
    788 // fmod
    789 
    790 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    791 inline _LIBCPP_INLINE_VISIBILITY float       fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fmodf(__lcpp_x, __lcpp_y);}
    792 inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fmodl(__lcpp_x, __lcpp_y);}
    793 #endif
    794 
    795 template <class _A1, class _A2>
    796 inline _LIBCPP_INLINE_VISIBILITY
    797 typename std::__lazy_enable_if
    798 <
    799     std::is_arithmetic<_A1>::value &&
    800     std::is_arithmetic<_A2>::value,
    801     std::__promote<_A1, _A2>
    802 >::type
    803 fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    804 {
    805     typedef typename std::__promote<_A1, _A2>::type __result_type;
    806     static_assert((!(std::is_same<_A1, __result_type>::value &&
    807                      std::is_same<_A2, __result_type>::value)), "");
    808     return fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y);
    809 }
    810 
    811 // frexp
    812 
    813 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    814 inline _LIBCPP_INLINE_VISIBILITY float       frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT       {return frexpf(__lcpp_x, __lcpp_e);}
    815 inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return frexpl(__lcpp_x, __lcpp_e);}
    816 #endif
    817 
    818 template <class _A1>
    819 inline _LIBCPP_INLINE_VISIBILITY
    820 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    821 frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return frexp((double)__lcpp_x, __lcpp_e);}
    822 
    823 // ldexp
    824 
    825 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    826 inline _LIBCPP_INLINE_VISIBILITY float       ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT       {return ldexpf(__lcpp_x, __lcpp_e);}
    827 inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ldexpl(__lcpp_x, __lcpp_e);}
    828 #endif
    829 
    830 template <class _A1>
    831 inline _LIBCPP_INLINE_VISIBILITY
    832 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    833 ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ldexp((double)__lcpp_x, __lcpp_e);}
    834 
    835 // log
    836 
    837 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    838 inline _LIBCPP_INLINE_VISIBILITY float       log(float __lcpp_x) _NOEXCEPT       {return logf(__lcpp_x);}
    839 inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return logl(__lcpp_x);}
    840 #endif
    841 
    842 template <class _A1>
    843 inline _LIBCPP_INLINE_VISIBILITY
    844 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    845 log(_A1 __lcpp_x) _NOEXCEPT {return log((double)__lcpp_x);}
    846 
    847 // log10
    848 
    849 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    850 inline _LIBCPP_INLINE_VISIBILITY float       log10(float __lcpp_x) _NOEXCEPT       {return log10f(__lcpp_x);}
    851 inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {return log10l(__lcpp_x);}
    852 #endif
    853 
    854 template <class _A1>
    855 inline _LIBCPP_INLINE_VISIBILITY
    856 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    857 log10(_A1 __lcpp_x) _NOEXCEPT {return log10((double)__lcpp_x);}
    858 
    859 // modf
    860 
    861 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    862 inline _LIBCPP_INLINE_VISIBILITY float       modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT             {return modff(__lcpp_x, __lcpp_y);}
    863 inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {return modfl(__lcpp_x, __lcpp_y);}
    864 #endif
    865 
    866 // pow
    867 
    868 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    869 inline _LIBCPP_INLINE_VISIBILITY float       pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return powf(__lcpp_x, __lcpp_y);}
    870 inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return powl(__lcpp_x, __lcpp_y);}
    871 #endif
    872 
    873 template <class _A1, class _A2>
    874 inline _LIBCPP_INLINE_VISIBILITY
    875 typename std::__lazy_enable_if
    876 <
    877     std::is_arithmetic<_A1>::value &&
    878     std::is_arithmetic<_A2>::value,
    879     std::__promote<_A1, _A2>
    880 >::type
    881 pow(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
    882 {
    883     typedef typename std::__promote<_A1, _A2>::type __result_type;
    884     static_assert((!(std::is_same<_A1, __result_type>::value &&
    885                      std::is_same<_A2, __result_type>::value)), "");
    886     return pow((__result_type)__lcpp_x, (__result_type)__lcpp_y);
    887 }
    888 
    889 // sin
    890 
    891 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    892 inline _LIBCPP_INLINE_VISIBILITY float       sin(float __lcpp_x) _NOEXCEPT       {return sinf(__lcpp_x);}
    893 inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {return sinl(__lcpp_x);}
    894 #endif
    895 
    896 template <class _A1>
    897 inline _LIBCPP_INLINE_VISIBILITY
    898 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    899 sin(_A1 __lcpp_x) _NOEXCEPT {return sin((double)__lcpp_x);}
    900 
    901 // sinh
    902 
    903 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    904 inline _LIBCPP_INLINE_VISIBILITY float       sinh(float __lcpp_x) _NOEXCEPT       {return sinhf(__lcpp_x);}
    905 inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {return sinhl(__lcpp_x);}
    906 #endif
    907 
    908 template <class _A1>
    909 inline _LIBCPP_INLINE_VISIBILITY
    910 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    911 sinh(_A1 __lcpp_x) _NOEXCEPT {return sinh((double)__lcpp_x);}
    912 
    913 // sqrt
    914 
    915 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    916 inline _LIBCPP_INLINE_VISIBILITY float       sqrt(float __lcpp_x) _NOEXCEPT       {return sqrtf(__lcpp_x);}
    917 inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {return sqrtl(__lcpp_x);}
    918 #endif
    919 
    920 #endif // __sun__
    921 template <class _A1>
    922 inline _LIBCPP_INLINE_VISIBILITY
    923 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    924 sqrt(_A1 __lcpp_x) _NOEXCEPT {return sqrt((double)__lcpp_x);}
    925 #ifndef __sun__
    926 
    927 // tan
    928 
    929 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    930 inline _LIBCPP_INLINE_VISIBILITY float       tan(float __lcpp_x) _NOEXCEPT       {return tanf(__lcpp_x);}
    931 inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {return tanl(__lcpp_x);}
    932 #endif
    933 
    934 template <class _A1>
    935 inline _LIBCPP_INLINE_VISIBILITY
    936 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    937 tan(_A1 __lcpp_x) _NOEXCEPT {return tan((double)__lcpp_x);}
    938 
    939 // tanh
    940 
    941 #if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
    942 inline _LIBCPP_INLINE_VISIBILITY float       tanh(float __lcpp_x) _NOEXCEPT       {return tanhf(__lcpp_x);}
    943 inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {return tanhl(__lcpp_x);}
    944 #endif
    945 
    946 template <class _A1>
    947 inline _LIBCPP_INLINE_VISIBILITY
    948 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    949 tanh(_A1 __lcpp_x) _NOEXCEPT {return tanh((double)__lcpp_x);}
    950 
    951 // acosh
    952 
    953 #ifndef _LIBCPP_MSVCRT
    954 inline _LIBCPP_INLINE_VISIBILITY float       acosh(float __lcpp_x) _NOEXCEPT       {return acoshf(__lcpp_x);}
    955 inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {return acoshl(__lcpp_x);}
    956 
    957 template <class _A1>
    958 inline _LIBCPP_INLINE_VISIBILITY
    959 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    960 acosh(_A1 __lcpp_x) _NOEXCEPT {return acosh((double)__lcpp_x);}
    961 #endif
    962 
    963 // asinh
    964 
    965 #ifndef _LIBCPP_MSVCRT
    966 inline _LIBCPP_INLINE_VISIBILITY float       asinh(float __lcpp_x) _NOEXCEPT       {return asinhf(__lcpp_x);}
    967 inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {return asinhl(__lcpp_x);}
    968 
    969 template <class _A1>
    970 inline _LIBCPP_INLINE_VISIBILITY
    971 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    972 asinh(_A1 __lcpp_x) _NOEXCEPT {return asinh((double)__lcpp_x);}
    973 #endif
    974 
    975 // atanh
    976 
    977 #ifndef _LIBCPP_MSVCRT
    978 inline _LIBCPP_INLINE_VISIBILITY float       atanh(float __lcpp_x) _NOEXCEPT       {return atanhf(__lcpp_x);}
    979 inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {return atanhl(__lcpp_x);}
    980 
    981 template <class _A1>
    982 inline _LIBCPP_INLINE_VISIBILITY
    983 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    984 atanh(_A1 __lcpp_x) _NOEXCEPT {return atanh((double)__lcpp_x);}
    985 #endif
    986 
    987 // cbrt
    988 
    989 #ifndef _LIBCPP_MSVCRT
    990 inline _LIBCPP_INLINE_VISIBILITY float       cbrt(float __lcpp_x) _NOEXCEPT       {return cbrtf(__lcpp_x);}
    991 inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {return cbrtl(__lcpp_x);}
    992 
    993 template <class _A1>
    994 inline _LIBCPP_INLINE_VISIBILITY
    995 typename std::enable_if<std::is_integral<_A1>::value, double>::type
    996 cbrt(_A1 __lcpp_x) _NOEXCEPT {return cbrt((double)__lcpp_x);}
    997 #endif
    998 
    999 // copysign
   1000 
   1001 #if !defined(_VC_CRT_MAJOR_VERSION) || (_VC_CRT_MAJOR_VERSION < 12)
   1002 inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x,
   1003                                                 float __lcpp_y) _NOEXCEPT {
   1004   return copysignf(__lcpp_x, __lcpp_y);
   1005 }
   1006 inline _LIBCPP_INLINE_VISIBILITY long double
   1007 copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
   1008   return copysignl(__lcpp_x, __lcpp_y);
   1009 }
   1010 #endif
   1011 
   1012 template <class _A1, class _A2>
   1013 inline _LIBCPP_INLINE_VISIBILITY
   1014 typename std::__lazy_enable_if
   1015 <
   1016     std::is_arithmetic<_A1>::value &&
   1017     std::is_arithmetic<_A2>::value,
   1018     std::__promote<_A1, _A2>
   1019 >::type
   1020 copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
   1021 {
   1022     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1023     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1024                      std::is_same<_A2, __result_type>::value)), "");
   1025     return copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y);
   1026 }
   1027 
   1028 #ifndef _LIBCPP_MSVCRT
   1029 
   1030 // erf
   1031 
   1032 inline _LIBCPP_INLINE_VISIBILITY float       erf(float __lcpp_x) _NOEXCEPT       {return erff(__lcpp_x);}
   1033 inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {return erfl(__lcpp_x);}
   1034 
   1035 template <class _A1>
   1036 inline _LIBCPP_INLINE_VISIBILITY
   1037 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1038 erf(_A1 __lcpp_x) _NOEXCEPT {return erf((double)__lcpp_x);}
   1039 
   1040 // erfc
   1041 
   1042 inline _LIBCPP_INLINE_VISIBILITY float       erfc(float __lcpp_x) _NOEXCEPT       {return erfcf(__lcpp_x);}
   1043 inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {return erfcl(__lcpp_x);}
   1044 
   1045 template <class _A1>
   1046 inline _LIBCPP_INLINE_VISIBILITY
   1047 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1048 erfc(_A1 __lcpp_x) _NOEXCEPT {return erfc((double)__lcpp_x);}
   1049 
   1050 // exp2
   1051 
   1052 inline _LIBCPP_INLINE_VISIBILITY float       exp2(float __lcpp_x) _NOEXCEPT       {return exp2f(__lcpp_x);}
   1053 inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {return exp2l(__lcpp_x);}
   1054 
   1055 template <class _A1>
   1056 inline _LIBCPP_INLINE_VISIBILITY
   1057 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1058 exp2(_A1 __lcpp_x) _NOEXCEPT {return exp2((double)__lcpp_x);}
   1059 
   1060 // expm1
   1061 
   1062 inline _LIBCPP_INLINE_VISIBILITY float       expm1(float __lcpp_x) _NOEXCEPT       {return expm1f(__lcpp_x);}
   1063 inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {return expm1l(__lcpp_x);}
   1064 
   1065 template <class _A1>
   1066 inline _LIBCPP_INLINE_VISIBILITY
   1067 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1068 expm1(_A1 __lcpp_x) _NOEXCEPT {return expm1((double)__lcpp_x);}
   1069 
   1070 // fdim
   1071 
   1072 inline _LIBCPP_INLINE_VISIBILITY float       fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fdimf(__lcpp_x, __lcpp_y);}
   1073 inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fdiml(__lcpp_x, __lcpp_y);}
   1074 
   1075 template <class _A1, class _A2>
   1076 inline _LIBCPP_INLINE_VISIBILITY
   1077 typename std::__lazy_enable_if
   1078 <
   1079     std::is_arithmetic<_A1>::value &&
   1080     std::is_arithmetic<_A2>::value,
   1081     std::__promote<_A1, _A2>
   1082 >::type
   1083 fdim(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
   1084 {
   1085     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1086     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1087                      std::is_same<_A2, __result_type>::value)), "");
   1088     return fdim((__result_type)__lcpp_x, (__result_type)__lcpp_y);
   1089 }
   1090 
   1091 // fma
   1092 
   1093 inline _LIBCPP_INLINE_VISIBILITY float       fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT                   {return fmaf(__lcpp_x, __lcpp_y, __lcpp_z);}
   1094 inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __lcpp_x, long double __lcpp_y, long double __lcpp_z) _NOEXCEPT {return fmal(__lcpp_x, __lcpp_y, __lcpp_z);}
   1095 
   1096 template <class _A1, class _A2, class _A3>
   1097 inline _LIBCPP_INLINE_VISIBILITY
   1098 typename std::__lazy_enable_if
   1099 <
   1100     std::is_arithmetic<_A1>::value &&
   1101     std::is_arithmetic<_A2>::value &&
   1102     std::is_arithmetic<_A3>::value,
   1103     std::__promote<_A1, _A2, _A3>
   1104 >::type
   1105 fma(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
   1106 {
   1107     typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
   1108     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1109                      std::is_same<_A2, __result_type>::value &&
   1110                      std::is_same<_A3, __result_type>::value)), "");
   1111     return fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
   1112 }
   1113 
   1114 // fmax
   1115 
   1116 inline _LIBCPP_INLINE_VISIBILITY float       fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fmaxf(__lcpp_x, __lcpp_y);}
   1117 inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fmaxl(__lcpp_x, __lcpp_y);}
   1118 
   1119 template <class _A1, class _A2>
   1120 inline _LIBCPP_INLINE_VISIBILITY
   1121 typename std::__lazy_enable_if
   1122 <
   1123     std::is_arithmetic<_A1>::value &&
   1124     std::is_arithmetic<_A2>::value,
   1125     std::__promote<_A1, _A2>
   1126 >::type
   1127 fmax(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
   1128 {
   1129     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1130     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1131                      std::is_same<_A2, __result_type>::value)), "");
   1132     return fmax((__result_type)__lcpp_x, (__result_type)__lcpp_y);
   1133 }
   1134 
   1135 // fmin
   1136 
   1137 inline _LIBCPP_INLINE_VISIBILITY float       fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fminf(__lcpp_x, __lcpp_y);}
   1138 inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fminl(__lcpp_x, __lcpp_y);}
   1139 
   1140 template <class _A1, class _A2>
   1141 inline _LIBCPP_INLINE_VISIBILITY
   1142 typename std::__lazy_enable_if
   1143 <
   1144     std::is_arithmetic<_A1>::value &&
   1145     std::is_arithmetic<_A2>::value,
   1146     std::__promote<_A1, _A2>
   1147 >::type
   1148 fmin(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
   1149 {
   1150     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1151     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1152                      std::is_same<_A2, __result_type>::value)), "");
   1153     return fmin((__result_type)__lcpp_x, (__result_type)__lcpp_y);
   1154 }
   1155 
   1156 // hypot
   1157 
   1158 inline _LIBCPP_INLINE_VISIBILITY float       hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return hypotf(__lcpp_x, __lcpp_y);}
   1159 inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return hypotl(__lcpp_x, __lcpp_y);}
   1160 
   1161 template <class _A1, class _A2>
   1162 inline _LIBCPP_INLINE_VISIBILITY
   1163 typename std::__lazy_enable_if
   1164 <
   1165     std::is_arithmetic<_A1>::value &&
   1166     std::is_arithmetic<_A2>::value,
   1167     std::__promote<_A1, _A2>
   1168 >::type
   1169 hypot(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
   1170 {
   1171     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1172     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1173                      std::is_same<_A2, __result_type>::value)), "");
   1174     return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y);
   1175 }
   1176 
   1177 // ilogb
   1178 
   1179 inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT       {return ilogbf(__lcpp_x);}
   1180 inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {return ilogbl(__lcpp_x);}
   1181 
   1182 template <class _A1>
   1183 inline _LIBCPP_INLINE_VISIBILITY
   1184 typename std::enable_if<std::is_integral<_A1>::value, int>::type
   1185 ilogb(_A1 __lcpp_x) _NOEXCEPT {return ilogb((double)__lcpp_x);}
   1186 
   1187 // lgamma
   1188 
   1189 inline _LIBCPP_INLINE_VISIBILITY float       lgamma(float __lcpp_x) _NOEXCEPT       {return lgammaf(__lcpp_x);}
   1190 inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {return lgammal(__lcpp_x);}
   1191 
   1192 template <class _A1>
   1193 inline _LIBCPP_INLINE_VISIBILITY
   1194 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1195 lgamma(_A1 __lcpp_x) _NOEXCEPT {return lgamma((double)__lcpp_x);}
   1196 
   1197 // llrint
   1198 
   1199 inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __lcpp_x) _NOEXCEPT       {return llrintf(__lcpp_x);}
   1200 inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __lcpp_x) _NOEXCEPT {return llrintl(__lcpp_x);}
   1201 
   1202 template <class _A1>
   1203 inline _LIBCPP_INLINE_VISIBILITY
   1204 typename std::enable_if<std::is_integral<_A1>::value, long long>::type
   1205 llrint(_A1 __lcpp_x) _NOEXCEPT {return llrint((double)__lcpp_x);}
   1206 
   1207 // llround
   1208 
   1209 inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT       {return llroundf(__lcpp_x);}
   1210 inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __lcpp_x) _NOEXCEPT {return llroundl(__lcpp_x);}
   1211 
   1212 template <class _A1>
   1213 inline _LIBCPP_INLINE_VISIBILITY
   1214 typename std::enable_if<std::is_integral<_A1>::value, long long>::type
   1215 llround(_A1 __lcpp_x) _NOEXCEPT {return llround((double)__lcpp_x);}
   1216 
   1217 // log1p
   1218 
   1219 inline _LIBCPP_INLINE_VISIBILITY float       log1p(float __lcpp_x) _NOEXCEPT       {return log1pf(__lcpp_x);}
   1220 inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {return log1pl(__lcpp_x);}
   1221 
   1222 template <class _A1>
   1223 inline _LIBCPP_INLINE_VISIBILITY
   1224 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1225 log1p(_A1 __lcpp_x) _NOEXCEPT {return log1p((double)__lcpp_x);}
   1226 
   1227 // log2
   1228 
   1229 inline _LIBCPP_INLINE_VISIBILITY float       log2(float __lcpp_x) _NOEXCEPT       {return log2f(__lcpp_x);}
   1230 inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {return log2l(__lcpp_x);}
   1231 
   1232 template <class _A1>
   1233 inline _LIBCPP_INLINE_VISIBILITY
   1234 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1235 log2(_A1 __lcpp_x) _NOEXCEPT {return log2((double)__lcpp_x);}
   1236 
   1237 // logb
   1238 
   1239 inline _LIBCPP_INLINE_VISIBILITY float       logb(float __lcpp_x) _NOEXCEPT       {return logbf(__lcpp_x);}
   1240 inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {return logbl(__lcpp_x);}
   1241 
   1242 template <class _A1>
   1243 inline _LIBCPP_INLINE_VISIBILITY
   1244 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1245 logb(_A1 __lcpp_x) _NOEXCEPT {return logb((double)__lcpp_x);}
   1246 
   1247 // lrint
   1248 
   1249 inline _LIBCPP_INLINE_VISIBILITY long lrint(float __lcpp_x) _NOEXCEPT       {return lrintf(__lcpp_x);}
   1250 inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT {return lrintl(__lcpp_x);}
   1251 
   1252 template <class _A1>
   1253 inline _LIBCPP_INLINE_VISIBILITY
   1254 typename std::enable_if<std::is_integral<_A1>::value, long>::type
   1255 lrint(_A1 __lcpp_x) _NOEXCEPT {return lrint((double)__lcpp_x);}
   1256 
   1257 // lround
   1258 
   1259 inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT       {return lroundf(__lcpp_x);}
   1260 inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT {return lroundl(__lcpp_x);}
   1261 
   1262 template <class _A1>
   1263 inline _LIBCPP_INLINE_VISIBILITY
   1264 typename std::enable_if<std::is_integral<_A1>::value, long>::type
   1265 lround(_A1 __lcpp_x) _NOEXCEPT {return lround((double)__lcpp_x);}
   1266 
   1267 // nan
   1268 
   1269 // nearbyint
   1270 
   1271 inline _LIBCPP_INLINE_VISIBILITY float       nearbyint(float __lcpp_x) _NOEXCEPT       {return nearbyintf(__lcpp_x);}
   1272 inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {return nearbyintl(__lcpp_x);}
   1273 
   1274 template <class _A1>
   1275 inline _LIBCPP_INLINE_VISIBILITY
   1276 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1277 nearbyint(_A1 __lcpp_x) _NOEXCEPT {return nearbyint((double)__lcpp_x);}
   1278 
   1279 // nextafter
   1280 
   1281 inline _LIBCPP_INLINE_VISIBILITY float       nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return nextafterf(__lcpp_x, __lcpp_y);}
   1282 inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return nextafterl(__lcpp_x, __lcpp_y);}
   1283 
   1284 template <class _A1, class _A2>
   1285 inline _LIBCPP_INLINE_VISIBILITY
   1286 typename std::__lazy_enable_if
   1287 <
   1288     std::is_arithmetic<_A1>::value &&
   1289     std::is_arithmetic<_A2>::value,
   1290     std::__promote<_A1, _A2>
   1291 >::type
   1292 nextafter(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
   1293 {
   1294     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1295     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1296                      std::is_same<_A2, __result_type>::value)), "");
   1297     return nextafter((__result_type)__lcpp_x, (__result_type)__lcpp_y);
   1298 }
   1299 
   1300 // nexttoward
   1301 
   1302 inline _LIBCPP_INLINE_VISIBILITY float       nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT       {return nexttowardf(__lcpp_x, __lcpp_y);}
   1303 inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return nexttowardl(__lcpp_x, __lcpp_y);}
   1304 
   1305 template <class _A1>
   1306 inline _LIBCPP_INLINE_VISIBILITY
   1307 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1308 nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {return nexttoward((double)__lcpp_x, __lcpp_y);}
   1309 
   1310 // remainder
   1311 
   1312 inline _LIBCPP_INLINE_VISIBILITY float       remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return remainderf(__lcpp_x, __lcpp_y);}
   1313 inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return remainderl(__lcpp_x, __lcpp_y);}
   1314 
   1315 template <class _A1, class _A2>
   1316 inline _LIBCPP_INLINE_VISIBILITY
   1317 typename std::__lazy_enable_if
   1318 <
   1319     std::is_arithmetic<_A1>::value &&
   1320     std::is_arithmetic<_A2>::value,
   1321     std::__promote<_A1, _A2>
   1322 >::type
   1323 remainder(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
   1324 {
   1325     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1326     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1327                      std::is_same<_A2, __result_type>::value)), "");
   1328     return remainder((__result_type)__lcpp_x, (__result_type)__lcpp_y);
   1329 }
   1330 
   1331 // remquo
   1332 
   1333 inline _LIBCPP_INLINE_VISIBILITY float       remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT             {return remquof(__lcpp_x, __lcpp_y, __lcpp_z);}
   1334 inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __lcpp_x, long double __lcpp_y, int* __lcpp_z) _NOEXCEPT {return remquol(__lcpp_x, __lcpp_y, __lcpp_z);}
   1335 
   1336 template <class _A1, class _A2>
   1337 inline _LIBCPP_INLINE_VISIBILITY
   1338 typename std::__lazy_enable_if
   1339 <
   1340     std::is_arithmetic<_A1>::value &&
   1341     std::is_arithmetic<_A2>::value,
   1342     std::__promote<_A1, _A2>
   1343 >::type
   1344 remquo(_A1 __lcpp_x, _A2 __lcpp_y, int* __lcpp_z) _NOEXCEPT
   1345 {
   1346     typedef typename std::__promote<_A1, _A2>::type __result_type;
   1347     static_assert((!(std::is_same<_A1, __result_type>::value &&
   1348                      std::is_same<_A2, __result_type>::value)), "");
   1349     return remquo((__result_type)__lcpp_x, (__result_type)__lcpp_y, __lcpp_z);
   1350 }
   1351 
   1352 // rint
   1353 
   1354 inline _LIBCPP_INLINE_VISIBILITY float       rint(float __lcpp_x) _NOEXCEPT       {return rintf(__lcpp_x);}
   1355 inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT {return rintl(__lcpp_x);}
   1356 
   1357 template <class _A1>
   1358 inline _LIBCPP_INLINE_VISIBILITY
   1359 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1360 rint(_A1 __lcpp_x) _NOEXCEPT {return rint((double)__lcpp_x);}
   1361 
   1362 // round
   1363 
   1364 inline _LIBCPP_INLINE_VISIBILITY float       round(float __lcpp_x) _NOEXCEPT       {return roundf(__lcpp_x);}
   1365 inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT {return roundl(__lcpp_x);}
   1366 
   1367 template <class _A1>
   1368 inline _LIBCPP_INLINE_VISIBILITY
   1369 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1370 round(_A1 __lcpp_x) _NOEXCEPT {return round((double)__lcpp_x);}
   1371 
   1372 // scalbln
   1373 
   1374 inline _LIBCPP_INLINE_VISIBILITY float       scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT       {return scalblnf(__lcpp_x, __lcpp_y);}
   1375 inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {return scalblnl(__lcpp_x, __lcpp_y);}
   1376 
   1377 template <class _A1>
   1378 inline _LIBCPP_INLINE_VISIBILITY
   1379 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1380 scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {return scalbln((double)__lcpp_x, __lcpp_y);}
   1381 
   1382 // scalbn
   1383 
   1384 inline _LIBCPP_INLINE_VISIBILITY float       scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT       {return scalbnf(__lcpp_x, __lcpp_y);}
   1385 inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {return scalbnl(__lcpp_x, __lcpp_y);}
   1386 
   1387 template <class _A1>
   1388 inline _LIBCPP_INLINE_VISIBILITY
   1389 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1390 scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {return scalbn((double)__lcpp_x, __lcpp_y);}
   1391 
   1392 // tgamma
   1393 
   1394 inline _LIBCPP_INLINE_VISIBILITY float       tgamma(float __lcpp_x) _NOEXCEPT       {return tgammaf(__lcpp_x);}
   1395 inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {return tgammal(__lcpp_x);}
   1396 
   1397 template <class _A1>
   1398 inline _LIBCPP_INLINE_VISIBILITY
   1399 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1400 tgamma(_A1 __lcpp_x) _NOEXCEPT {return tgamma((double)__lcpp_x);}
   1401 
   1402 // trunc
   1403 
   1404 inline _LIBCPP_INLINE_VISIBILITY float       trunc(float __lcpp_x) _NOEXCEPT       {return truncf(__lcpp_x);}
   1405 inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT {return truncl(__lcpp_x);}
   1406 
   1407 template <class _A1>
   1408 inline _LIBCPP_INLINE_VISIBILITY
   1409 typename std::enable_if<std::is_integral<_A1>::value, double>::type
   1410 trunc(_A1 __lcpp_x) _NOEXCEPT {return trunc((double)__lcpp_x);}
   1411 
   1412 #endif // !_LIBCPP_MSVCRT
   1413 #endif // __sun__
   1414 
   1415 } // extern "C++"
   1416 
   1417 #endif // __cplusplus
   1418 
   1419 #endif  // _LIBCPP_MATH_H
   1420