mirror of
https://github.com/odin-lang/Odin.git
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405 lines
18 KiB
Odin
405 lines
18 KiB
Odin
package libc
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// 7.12 Mathematics
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import "base:intrinsics"
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when ODIN_OS == .Windows {
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foreign import libc "system:libucrt.lib"
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} else when ODIN_OS == .Darwin {
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foreign import libc "system:System"
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} else {
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foreign import libc "system:c"
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}
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// To support C's tgmath behavior we use Odin's explicit procedure overloading,
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// but we cannot use the same names as exported by libc so use @(link_name)
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// and keep them as private symbols of name "libc_"
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@(private="file")
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@(default_calling_convention="c")
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foreign libc {
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// 7.12.4 Trigonometric functions
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@(link_name="acos") libc_acos :: proc(x: double) -> double ---
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@(link_name="acosf") libc_acosf :: proc(x: float) -> float ---
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@(link_name="asin") libc_asin :: proc(x: double) -> double ---
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@(link_name="asinf") libc_asinf :: proc(x: float) -> float ---
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@(link_name="atan") libc_atan :: proc(x: double) -> double ---
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@(link_name="atanf") libc_atanf :: proc(x: float) -> float ---
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@(link_name="atan2") libc_atan2 :: proc(y: double, x: double) -> double ---
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@(link_name="atan2f") libc_atan2f :: proc(y: float, x: float) -> float ---
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@(link_name="cos") libc_cos :: proc(x: double) -> double ---
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@(link_name="cosf") libc_cosf :: proc(x: float) -> float ---
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@(link_name="sin") libc_sin :: proc(x: double) -> double ---
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@(link_name="sinf") libc_sinf :: proc(x: float) -> float ---
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@(link_name="tan") libc_tan :: proc(x: double) -> double ---
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@(link_name="tanf") libc_tanf :: proc(x: float) -> float ---
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// 7.12.5 Hyperbolic functions
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@(link_name="acosh") libc_acosh :: proc(x: double) -> double ---
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@(link_name="acoshf") libc_acoshf :: proc(x: float) -> float ---
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@(link_name="asinh") libc_asinh :: proc(x: double) -> double ---
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@(link_name="asinhf") libc_asinhf :: proc(x: float) -> float ---
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@(link_name="atanh") libc_atanh :: proc(x: double) -> double ---
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@(link_name="atanhf") libc_atanhf :: proc(x: float) -> float ---
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@(link_name="cosh") libc_cosh :: proc(x: double) -> double ---
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@(link_name="coshf") libc_coshf :: proc(x: float) -> float ---
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@(link_name="sinh") libc_sinh :: proc(x: double) -> double ---
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@(link_name="sinhf") libc_sinhf :: proc(x: float) -> float ---
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@(link_name="tanh") libc_tanh :: proc(x: double) -> double ---
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@(link_name="tanhf") libc_tanhf :: proc(x: float) -> float ---
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// 7.12.6 Exponential and logarithmic functions
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@(link_name="exp") libc_exp :: proc(x: double) -> double ---
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@(link_name="expf") libc_expf :: proc(x: float) -> float ---
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@(link_name="exp2") libc_exp2 :: proc(x: double) -> double ---
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@(link_name="exp2f") libc_exp2f :: proc(x: float) -> float ---
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@(link_name="expm1") libc_expm1 :: proc(x: double) -> double ---
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@(link_name="expm1f") libc_expm1f :: proc(x: float) -> float ---
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@(link_name="frexp") libc_frexp :: proc(value: double, exp: ^int) -> double ---
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@(link_name="frexpf") libc_frexpf :: proc(value: float, exp: ^int) -> float ---
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@(link_name="ilogb") libc_ilogb :: proc(x: double) -> int ---
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@(link_name="ilogbf") libc_ilogbf :: proc(x: float) -> int ---
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@(link_name="ldexp") libc_ldexp :: proc(x: double, exp: int) -> double ---
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@(link_name="ldexpf") libc_ldexpf :: proc(x: float, exp: int) -> float ---
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@(link_name="log") libc_log :: proc(x: double) -> double ---
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@(link_name="logf") libc_logf :: proc(x: float) -> float ---
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@(link_name="log10") libc_log10 :: proc(x: double) -> double ---
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@(link_name="log10f") libc_log10f :: proc(x: float) -> float ---
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@(link_name="log1p") libc_log1p :: proc(x: double) -> double ---
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@(link_name="log1pf") libc_log1pf :: proc(x: float) -> float ---
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@(link_name="log2") libc_log2 :: proc(x: double) -> double ---
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@(link_name="log2f") libc_log2f :: proc(x: float) -> float ---
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@(link_name="logb") libc_logb :: proc(x: double) -> double ---
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@(link_name="logbf") libc_logbf :: proc(x: float) -> float ---
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@(link_name="modf") libc_modf :: proc(value: double, iptr: ^double) -> double ---
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@(link_name="modff") libc_modff :: proc(value: float, iptr: ^float) -> float ---
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@(link_name="scalbn") libc_scalbn :: proc(x: double, n: int) -> double ---
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@(link_name="scalbnf") libc_scalbnf :: proc(x: float, n: int) -> float ---
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@(link_name="scalbln") libc_scalbln :: proc(x: double, n: long) -> double ---
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@(link_name="scalblnf") libc_scalblnf :: proc(x: float, n: long) -> float ---
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// 7.12.7 Power and absolute-value functions
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@(link_name="cbrt") libc_cbrt :: proc(x: double) -> double ---
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@(link_name="cbrtf") libc_cbrtf :: proc(x: float) -> float ---
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@(link_name="fabs") libc_fabs :: proc(x: double) -> double ---
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@(link_name="fabsf") libc_fabsf :: proc(x: float) -> float ---
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@(link_name="hypot") libc_hypot :: proc(x: double, y: double) -> double ---
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@(link_name="hypotf") libc_hypotf :: proc(x: float, y: float) -> float ---
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@(link_name="pow") libc_pow :: proc(x: double, y: double) -> double ---
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@(link_name="powf") libc_powf :: proc(x: float, y: float) -> float ---
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@(link_name="sqrt") libc_sqrt :: proc(x: double) -> double ---
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@(link_name="sqrtf") libc_sqrtf :: proc(x: float) -> float ---
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// 7.12.8 Error and gamma functions
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@(link_name="erf") libc_erf :: proc(x: double) -> double ---
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@(link_name="erff") libc_erff :: proc(x: float) -> float ---
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@(link_name="erfc") libc_erfc :: proc(x: double) -> double ---
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@(link_name="erfcf") libc_erfcf :: proc(x: float) -> float ---
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@(link_name="lgamma") libc_lgamma :: proc(x: double) -> double ---
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@(link_name="lgammaf") libc_lgammaf :: proc(x: float) -> float ---
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@(link_name="tgamma") libc_tgamma :: proc(x: double) -> double ---
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@(link_name="tgammaf") libc_tgammaf :: proc(x: float) -> float ---
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// 7.12.9 Nearest integer functions
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@(link_name="ceil") libc_ceil :: proc(x: double) -> double ---
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@(link_name="ceilf") libc_ceilf :: proc(x: float) -> float ---
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@(link_name="floor") libc_floor :: proc(x: double) -> double ---
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@(link_name="floorf") libc_floorf :: proc(x: float) -> float ---
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@(link_name="nearbyint") libc_nearbyint :: proc(x: double) -> double ---
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@(link_name="nearbyintf") libc_nearbyintf :: proc(x: float) -> float ---
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@(link_name="rint") libc_rint :: proc(x: double) -> double ---
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@(link_name="rintf") libc_rintf :: proc(x: float) -> float ---
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@(link_name="lrint") libc_lrint :: proc(x: double) -> long ---
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@(link_name="lrintf") libc_lrintf :: proc(x: float) -> long ---
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@(link_name="llrint") libc_llrint :: proc(x: double) -> longlong ---
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@(link_name="llrintf") libc_llrintf :: proc(x: float) -> longlong ---
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@(link_name="round") libc_round :: proc(x: double) -> double ---
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@(link_name="roundf") libc_roundf :: proc(x: float) -> float ---
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@(link_name="lround") libc_lround :: proc(x: double) -> long ---
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@(link_name="lroundf") libc_lroundf :: proc(x: float) -> long ---
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@(link_name="llround") libc_llround :: proc(x: double) -> longlong ---
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@(link_name="llroundf") libc_llroundf :: proc(x: float) -> longlong ---
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@(link_name="trunc") libc_trunc :: proc(x: double) -> double ---
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@(link_name="truncf") libc_truncf :: proc(x: float) -> float ---
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// 7.12.10 Remainder functions
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@(link_name="fmod") libc_fmod :: proc(x: double, y: double) -> double ---
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@(link_name="fmodf") libc_fmodf :: proc(x: float, y: float) -> float ---
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@(link_name="remainder") libc_remainder :: proc(x: double, y: double) -> double ---
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@(link_name="remainderf") libc_remainderf :: proc(x: float, y: float) -> float ---
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@(link_name="remquo") libc_remquo :: proc(x: double, y: double, quo: ^int) -> double ---
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@(link_name="remquof") libc_remquof :: proc(x: float, y: float, quo: ^int) -> float ---
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// 7.12.11 Manipulation functions
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@(link_name="copysign") libc_copysign :: proc(x: double, y: double) -> double ---
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@(link_name="copysignf") libc_copysignf :: proc(x: float, y: float) -> float ---
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@(link_name="nan") libc_nan :: proc(tagp: cstring) -> double ---
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@(link_name="nanf") libc_nanf :: proc(tagp: cstring) -> float ---
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@(link_name="nextafter") libc_nextafter :: proc(x: double, y: double) -> double ---
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@(link_name="nextafterf") libc_nextafterf :: proc(x: float, y: float) -> float ---
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// 7.12.12 Maximum, minimum, and positive difference functions
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@(link_name="fdim") libc_fdim :: proc(x: double, y: double) -> double ---
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@(link_name="fdimf") libc_fdimf :: proc(x: float, y: float) -> float ---
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@(link_name="fmax") libc_fmax :: proc(x: double, y: double) -> double ---
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@(link_name="fmaxf") libc_fmaxf :: proc(x: float, y: float) -> float ---
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@(link_name="fmin") libc_fmin :: proc(x: double, y: double) -> double ---
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@(link_name="fminf") libc_fminf :: proc(x: float, y: float) -> float ---
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@(link_name="fma") libc_fma :: proc(x, y, z: double) -> double ---
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@(link_name="fmaf") libc_fmaf :: proc(x, y, z: float) -> float ---
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}
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@(private="file")
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_nan_bit_pattern := ~u64(0)
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// On amd64 Windows and Linux, float_t and double_t are respectively both
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// their usual types. On x86 it's not possible to define these types correctly
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// since they would be long double which Odin does have support for.
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float_t :: float
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double_t :: double
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NAN := transmute(double)(_nan_bit_pattern)
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INFINITY :: 1e5000
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HUGE_VALF :: INFINITY
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HUGE_VAL :: double(INFINITY)
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MATH_ERRNO :: 1
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MATH_ERREXCEPT :: 2
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math_errhandling :: 2 // Windows, Linux, macOS all use this mode.
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FP_ILOGBNAN :: -1 - int((~uint(0)) >> 1)
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FP_ILOGB0 :: FP_ILOGBNAN
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// Number classification constants. These do not have to match libc since we
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// implement our own classification functions as libc requires they be macros,
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// which means libc does not export standard functions for them.
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FP_NAN :: 0
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FP_INFINITE :: 1
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FP_ZERO :: 2
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FP_NORMAL :: 3
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FP_SUBNORMAL :: 4
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@(private)
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_fpclassify :: #force_inline proc(x: double) -> int {
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u := transmute(uint64_t)x
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switch e := u >> 52 & 0x7ff; e {
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case 0: return FP_SUBNORMAL if (u << 1) != 0 else FP_ZERO
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case 0x7ff: return FP_NAN if (u << 12) != 0 else FP_INFINITE
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}
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return FP_NORMAL
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}
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@(private)
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_fpclassifyf :: #force_inline proc(x: float) -> int {
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u := transmute(uint32_t)x
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switch e := u >> 23 & 0xff; e {
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case 0: return FP_SUBNORMAL if (u << 1) != 0 else FP_ZERO
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case 0xff: return FP_NAN if (u << 9) != 0 else FP_INFINITE
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}
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return FP_NORMAL
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}
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@(private)
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_signbit :: #force_inline proc(x: double) -> int {
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return int(transmute(uint64_t)x >> 63)
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}
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@(private)
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_signbitf :: #force_inline proc(x: float) -> int {
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return int(transmute(uint32_t)x >> 31)
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}
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isfinite :: #force_inline proc(x: $T) -> bool where intrinsics.type_is_float(T) {
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return fpclassify(x) == FP_INFINITE
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}
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isinf :: #force_inline proc(x: $T) -> bool where intrinsics.type_is_float(T) {
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return fpclassify(x) > FP_INFINITE
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}
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isnan :: #force_inline proc(x: $T) -> bool where intrinsics.type_is_float(T) {
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return fpclassify(x) == FP_NAN
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}
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isnormal :: #force_inline proc(x: $T) -> bool where intrinsics.type_is_float(T) {
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return fpclassify(x) == FP_NORMAL
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}
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// These are special in that they avoid float exceptions. They cannot just be
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// implemented as the relational comparisons, as that would produce an invalid
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// "sticky" state that propagates and affects maths results. These need
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// to be implemented natively in Odin assuming isunordered to prevent that.
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isgreater :: #force_inline proc(x, y: $T) -> bool where intrinsics.type_is_float(T) {
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return !isunordered(x, y) && x > y
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}
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isgreaterequal :: #force_inline proc(x, y: $T) -> bool where intrinsics.type_is_float(T) {
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return !isunordered(x, y) && x >= y
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}
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isless :: #force_inline proc(x, y: $T) -> bool where intrinsics.type_is_float(T) {
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return !isunordered(x, y) && x < y
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}
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islessequal :: #force_inline proc(x, y: $T) -> bool where intrinsics.type_is_float(T) {
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return !isunordered(x, y) && x <= y
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}
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islessgreater :: #force_inline proc(x, y: $T) -> bool where intrinsics.type_is_float(T) {
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return !isunordered(x, y) && x <= y
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}
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isunordered :: #force_inline proc(x, y: $T) -> bool where intrinsics.type_is_float(T) {
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if isnan(x) {
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// Force evaluation of y to propagate exceptions for ordering semantics.
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// To ensure correct semantics of IEEE 754 this cannot be compiled away.
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sink: T
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intrinsics.volatile_store(&sink, intrinsics.volatile_load(&y))
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return true
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}
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return isnan(y)
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}
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fpclassify :: proc{_fpclassify, _fpclassifyf}
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signbit :: proc{_signbit, _signbitf}
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// Emulate tgmath.h behavior with explicit procedure overloading here.
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acos :: proc{libc_acos, libc_acosf, cacos, cacosf}
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asin :: proc{libc_asin, libc_asinf, casin, casinf}
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atan :: proc{libc_atan, libc_atanf, catan, catanf}
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atan2 :: proc{libc_atan2, libc_atan2f}
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cos :: proc{libc_cos, libc_cosf, ccos, ccosf}
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sin :: proc{libc_sin, libc_sinf, csin, csinf}
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tan :: proc{libc_tan, libc_tanf, ctan, ctanf}
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acosh :: proc{libc_acosh, libc_acoshf, cacosh, cacoshf}
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asinh :: proc{libc_asinh, libc_asinhf, casinh, casinhf}
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atanh :: proc{libc_atanh, libc_atanhf, catanh, catanhf}
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cosh :: proc{libc_cosh, libc_coshf, ccosh, ccoshf}
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sinh :: proc{libc_sinh, libc_sinhf, csinh, csinhf}
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tanh :: proc{libc_tanh, libc_tanhf, ctanh, ctanhf}
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exp :: proc{libc_exp, libc_expf, cexp, cexpf}
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exp2 :: proc{libc_exp2, libc_exp2f}
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expm1 :: proc{libc_expm1, libc_expm1f}
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frexp :: proc{libc_frexp, libc_frexpf}
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ilogb :: proc{libc_ilogb, libc_ilogbf}
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ldexp :: proc{libc_ldexp, libc_ldexpf}
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log :: proc{libc_log, libc_logf, clog, clogf}
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log10 :: proc{libc_log10, libc_log10f}
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log1p :: proc{libc_log1p, libc_log1pf}
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log2 :: proc{libc_log2, libc_log2f}
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logb :: proc{libc_logb, libc_logbf}
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modf :: proc{libc_modf, libc_modff}
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scalbn :: proc{libc_scalbn, libc_scalbnf}
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scalbln :: proc{libc_scalbln, libc_scalblnf}
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cbrt :: proc{libc_cbrt, libc_cbrtf}
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fabs :: proc{libc_fabs, libc_fabsf, cabs, cabsf}
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hypot :: proc{libc_hypot, libc_hypotf}
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pow :: proc{libc_pow, libc_powf, cpow, cpowf}
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sqrt :: proc{libc_sqrt, libc_sqrtf, csqrt, csqrtf}
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erf :: proc{libc_erf, libc_erff}
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erfc :: proc{libc_erfc, libc_erfcf}
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lgamma :: proc{libc_lgamma, libc_lgammaf}
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tgamma :: proc{libc_tgamma, libc_tgammaf}
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ceil :: proc{libc_ceil, libc_ceilf}
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floor :: proc{libc_floor, libc_floorf}
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nearbyint :: proc{libc_nearbyint, libc_nearbyintf}
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rint :: proc{libc_rint, libc_rintf}
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lrint :: proc{libc_lrint, libc_lrintf}
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llrint :: proc{libc_llrint, libc_llrintf}
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round :: proc{libc_round, libc_roundf}
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lround :: proc{libc_lround, libc_lroundf}
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llround :: proc{libc_llround, libc_llroundf}
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trunc :: proc{libc_trunc, libc_truncf}
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fmod :: proc{libc_fmod, libc_fmodf}
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remainder :: proc{libc_remainder, libc_remainderf}
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remquo :: proc{libc_remquo, libc_remquof}
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copysign :: proc{libc_copysign, libc_copysignf}
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nextafter :: proc{libc_nextafter, libc_nextafterf}
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fdim :: proc{libc_fdim, libc_fdimf}
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fmax :: proc{libc_fmax, libc_fmaxf}
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fmin :: proc{libc_fmin, libc_fminf}
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fma :: proc{libc_fma, libc_fmaf}
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// But retain the 'f' suffix-variant functions as well so they can be used,
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// a trick is used here where we use explicit procedural overloading of one
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// procedure. This is done because the foreign block is marked @(private) and
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// aliasing functions does not remove privateness from the entity.
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acosf :: proc{libc_acosf}
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asinf :: proc{libc_asinf}
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atanf :: proc{libc_atanf}
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atan2f :: proc{libc_atan2f}
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cosf :: proc{libc_cosf}
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sinf :: proc{libc_sinf}
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tanf :: proc{libc_tanf}
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acoshf :: proc{libc_acoshf}
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asinhf :: proc{libc_asinhf}
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atanhf :: proc{libc_atanhf}
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coshf :: proc{libc_coshf}
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sinhf :: proc{libc_sinhf}
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tanhf :: proc{libc_tanhf}
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expf :: proc{libc_expf}
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exp2f :: proc{libc_exp2f}
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expm1f :: proc{libc_expm1f}
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frexpf :: proc{libc_frexpf}
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ilogbf :: proc{libc_ilogbf}
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ldexpf :: proc{libc_ldexpf}
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logf :: proc{libc_logf}
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log10f :: proc{libc_log10f}
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log1pf :: proc{libc_log1pf}
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log2f :: proc{libc_log2f}
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logbf :: proc{libc_logbf}
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modff :: proc{libc_modff}
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scalbnf :: proc{libc_scalbnf}
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scalblnf :: proc{libc_scalblnf}
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cbrtf :: proc{libc_cbrtf}
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fabsf :: proc{libc_fabsf}
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hypotf :: proc{libc_hypotf}
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powf :: proc{libc_powf}
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sqrtf :: proc{libc_sqrtf}
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erff :: proc{libc_erff}
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erfcf :: proc{libc_erfcf}
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lgammaf :: proc{libc_lgammaf}
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tgammaf :: proc{libc_tgammaf}
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ceilf :: proc{libc_ceilf}
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floorf :: proc{libc_floorf}
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nearbyintf :: proc{libc_nearbyintf}
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rintf :: proc{libc_rintf}
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lrintf :: proc{libc_lrintf}
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llrintf :: proc{libc_llrintf}
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roundf :: proc{libc_roundf}
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lroundf :: proc{libc_lroundf}
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llroundf :: proc{libc_llroundf}
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truncf :: proc{libc_truncf}
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fmodf :: proc{libc_fmodf}
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remainderf :: proc{libc_remainderf}
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remquof :: proc{libc_remquof}
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copysignf :: proc{libc_copysignf}
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nextafterf :: proc{libc_nextafterf}
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fdimf :: proc{libc_fdimf}
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fmaxf :: proc{libc_fmaxf}
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fminf :: proc{libc_fminf}
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fmaf :: proc{libc_fmaf}
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// These two functions are special and not made type generic in tgmath.h since
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// they only differ by their return type.
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nan :: proc{libc_nan}
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nanf :: proc{libc_nanf}
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