math.h

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#ifndef LIBA_MATH_H
#define LIBA_MATH_H
 
#include "a.h"
#include <math.h>


#define A_E 2.71828182845904523536
#define A_LOG2E 1.44269504088896340736
#define A_LOG10E 0.434294481903251827651
#define A_LN2 0.693147180559945309417
#define A_LN1_2 3.32192809488736218171
#define A_LN10 2.30258509299404568402
#define A_LN1_10 0.434294481903251827651
#define A_PI 3.14159265358979323846
#define A_TAU 6.28318530717958647693
#define A_PI_2 1.57079632679489661923
#define A_PI_4 0.785398163397448309616
#define A_1_PI 0.318309886183790671538
#define A_2_PI 0.636619772367581343076
#define A_1_TAU 0.159154943091895335769
#define A_2_SQRTPI 1.12837916709551257390
#define A_SQRT2 1.41421356237309504880
#define A_SQRT1_2 0.707106781186547524401
#define A_SQRT3 1.73205080756887729352
#define A_SQRT1_3 0.57735026918962576450
#define A_RAD2DEG 57.2957795130823208768
#define A_DEG2RAD 0.01745329251994329576924
 
#if defined(__cplusplus)
extern "C" {
#endif /* __cplusplus */

A_EXTERN a_u32 a_u32_gcd(a_u32 a, a_u32 b);
A_EXTERN a_u64 a_u64_gcd(a_u64 a, a_u64 b);

A_EXTERN a_u32 a_u32_lcm(a_u32 a, a_u32 b);
A_EXTERN a_u64 a_u64_lcm(a_u64 a, a_u64 b);

A_EXTERN a_u16 a_u32_sqrt(a_u32 x);
A_EXTERN a_u32 a_u64_sqrt(a_u64 x);

A_EXTERN a_f32 a_f32_rsqrt(a_f32 x);
A_EXTERN a_f64 a_f64_rsqrt(a_f64 x);
 
#if defined(__cplusplus)
} /* extern "C" */
#endif /* __cplusplus */
 
#define a_f32_modf A_F32_F(modf)
#define a_f32_frexp A_F32_F(frexp)
#define a_f32_ldexp A_F32_F(ldexp)
#define a_f32_scalbn A_F32_F(scalbn)
#define a_f32_scalbln A_F32_F(scalbln)
#define a_f32_nextafter A_F32_F(nextafter)
#define a_f32_nexttoward A_F32_F(nexttoward)
#define a_f32_copysign A_F32_F(copysign)
 
#define a_f32_ma A_F32_F(fma)
#define a_f32_nan A_F32_F(nan)
#define a_f32_abs A_F32_F(fabs)
#define a_f32_mod A_F32_F(fmod)
#define a_f32_max A_F32_F(fmax)
#define a_f32_min A_F32_F(fmin)
#define a_f32_dim A_F32_F(fdim)
#define a_f32_remquo A_F32_F(remquo)
#define a_f32_remainder A_F32_F(remainder)
 
#define a_f32_exp A_F32_F(exp)
#define a_f32_exp2 A_F32_F(exp2)
#define a_f32_expm1 A_F32_F(expm1)
 
#define a_f32_log A_F32_F(log)
#define a_f32_logb A_F32_F(logb)
#define a_f32_log2 A_F32_F(log2)
#define a_f32_log10 A_F32_F(log10)
#define a_f32_log1p A_F32_F(log1p)
#define a_f32_ilogb A_F32_F(ilogb)
 
#define a_f32_pow A_F32_F(pow)
#define a_f32_sqrt A_F32_F(sqrt)
#define a_f32_cbrt A_F32_F(cbrt)
#define a_f32_hypot A_F32_F(hypot)
 
#define a_f32_sin A_F32_F(sin)
#define a_f32_cos A_F32_F(cos)
#define a_f32_tan A_F32_F(tan)
#define a_f32_asin A_F32_F(asin)
#define a_f32_acos A_F32_F(acos)
#define a_f32_atan A_F32_F(atan)
#define a_f32_atan2 A_F32_F(atan2)
 
#define a_f32_sinh A_F32_F(sinh)
#define a_f32_cosh A_F32_F(cosh)
#define a_f32_tanh A_F32_F(tanh)
#define a_f32_asinh A_F32_F(asinh)
#define a_f32_acosh A_F32_F(acosh)
#define a_f32_atanh A_F32_F(atanh)
 
#define a_f32_erf A_F32_F(erf)
#define a_f32_erfc A_F32_F(erfc)
#define a_f32_tgamma A_F32_F(tgamma)
#define a_f32_lgamma A_F32_F(lgamma)
 
#define a_f32_ceil A_F32_F(ceil)
#define a_f32_floor A_F32_F(floor)
#define a_f32_trunc A_F32_F(trunc)
#define a_f32_round A_F32_F(round)
#define a_f32_lround A_F32_F(lround)
#define a_f32_llround A_F32_F(llround)
#define a_f32_nearbyint A_F32_F(nearbyint)
#define a_f32_rint A_F32_F(rint)
#define a_f32_lrintt A_F32_F(lrint)
#define a_f32_llrintt A_F32_F(llrint)
 
#define a_f64_modf A_F64_F(modf)
#define a_f64_frexp A_F64_F(frexp)
#define a_f64_ldexp A_F64_F(ldexp)
#define a_f64_scalbn A_F64_F(scalbn)
#define a_f64_scalbln A_F64_F(scalbln)
#define a_f64_nextafter A_F64_F(nextafter)
#define a_f64_nexttoward A_F64_F(nexttoward)
#define a_f64_copysign A_F64_F(copysign)
 
#define a_f64_ma A_F64_F(fma)
#define a_f64_nan A_F64_F(nan)
#define a_f64_abs A_F64_F(fabs)
#define a_f64_mod A_F64_F(fmod)
#define a_f64_max A_F64_F(fmax)
#define a_f64_min A_F64_F(fmin)
#define a_f64_dim A_F64_F(fdim)
#define a_f64_remquo A_F64_F(remquo)
#define a_f64_remainder A_F64_F(remainder)
 
#define a_f64_exp A_F64_F(exp)
#define a_f64_exp2 A_F64_F(exp2)
#define a_f64_expm1 A_F64_F(expm1)
 
#define a_f64_log A_F64_F(log)
#define a_f64_logb A_F64_F(logb)
#define a_f64_log2 A_F64_F(log2)
#define a_f64_log10 A_F64_F(log10)
#define a_f64_log1p A_F64_F(log1p)
#define a_f64_ilogb A_F64_F(ilogb)
 
#define a_f64_pow A_F64_F(pow)
#define a_f64_sqrt A_F64_F(sqrt)
#define a_f64_cbrt A_F64_F(cbrt)
#define a_f64_hypot A_F64_F(hypot)
 
#define a_f64_sin A_F64_F(sin)
#define a_f64_cos A_F64_F(cos)
#define a_f64_tan A_F64_F(tan)
#define a_f64_asin A_F64_F(asin)
#define a_f64_acos A_F64_F(acos)
#define a_f64_atan A_F64_F(atan)
#define a_f64_atan2 A_F64_F(atan2)
 
#define a_f64_sinh A_F64_F(sinh)
#define a_f64_cosh A_F64_F(cosh)
#define a_f64_tanh A_F64_F(tanh)
#define a_f64_asinh A_F64_F(asinh)
#define a_f64_acosh A_F64_F(acosh)
#define a_f64_atanh A_F64_F(atanh)
 
#define a_f64_erf A_F64_F(erf)
#define a_f64_erfc A_F64_F(erfc)
#define a_f64_tgamma A_F64_F(tgamma)
#define a_f64_lgamma A_F64_F(lgamma)
 
#define a_f64_ceil A_F64_F(ceil)
#define a_f64_floor A_F64_F(floor)
#define a_f64_trunc A_F64_F(trunc)
#define a_f64_round A_F64_F(round)
#define a_f64_lround A_F64_F(lround)
#define a_f64_llround A_F64_F(llround)
#define a_f64_nearbyint A_F64_F(nearbyint)
#define a_f64_rint A_F64_F(rint)
#define a_f64_lrintt A_F64_F(lrint)
#define a_f64_llrintt A_F64_F(llrint)



#define A_REAL_E A_REAL_C(A_E)
#define A_REAL_LOG2E A_REAL_C(A_LOG2E)
#define A_REAL_LOG10E A_REAL_C(A_LOG10E)
#define A_REAL_LN2 A_REAL_C(A_LN2)
#define A_REAL_LN1_2 A_REAL_C(A_LN1_2)
#define A_REAL_LN10 A_REAL_C(A_LN10)
#define A_REAL_LN1_10 A_REAL_C(A_LN1_10)
#define A_REAL_PI A_REAL_C(A_PI)
#define A_REAL_TAU A_REAL_C(A_TAU)
#define A_REAL_PI_2 A_REAL_C(A_PI_2)
#define A_REAL_PI_4 A_REAL_C(A_PI_4)
#define A_REAL_1_PI A_REAL_C(A_1_PI)
#define A_REAL_2_PI A_REAL_C(A_2_PI)
#define A_REAL_1_TAU A_REAL_C(A_1_TAU)
#define A_REAL_2_SQRTPI A_REAL_C(A_2_SQRTPI)
#define A_REAL_SQRT2 A_REAL_C(A_SQRT2)
#define A_REAL_SQRT1_2 A_REAL_C(A_SQRT1_2)
#define A_REAL_SQRT3 A_REAL_C(A_SQRT3)
#define A_REAL_SQRT1_3 A_REAL_C(A_SQRT1_3)
#define A_REAL_RAD2DEG A_REAL_C(A_RAD2DEG)
#define A_REAL_DEG2RAD A_REAL_C(A_DEG2RAD)
 
#if defined(__cplusplus)
extern "C" {
#endif /* __cplusplus */
 
A_EXTERN a_real a_real_rad2deg(a_real x);
A_EXTERN a_real a_real_deg2rad(a_real x);
 
A_EXTERN void a_real_cart2pol(a_real x, a_real y, a_real *rho, a_real *theta);
A_EXTERN void a_real_pol2cart(a_real rho, a_real theta, a_real *x, a_real *y);
A_EXTERN void a_real_cart2sph(a_real x, a_real y, a_real z, a_real *rho, a_real *theta, a_real *alpha);
A_EXTERN void a_real_sph2cart(a_real rho, a_real theta, a_real alpha, a_real *x, a_real *y, a_real *z);
 
A_EXTERN a_real a_real_asinh(a_real x);
A_EXTERN a_real a_real_acosh(a_real x);
A_EXTERN a_real a_real_atanh(a_real x);
A_EXTERN a_real a_real_expm1(a_real x);
A_EXTERN a_real a_real_log1p(a_real x);
A_EXTERN a_real a_real_atan2(a_real y, a_real x);
A_EXTERN a_real a_real_norm2(a_real x, a_real y);
A_EXTERN a_real a_real_norm3(a_real x, a_real y, a_real z);

A_EXTERN a_real a_real_norm(a_size n, a_real const *p);
A_EXTERN a_real a_real_norm_(a_size n, a_real const *p, a_size c);

A_EXTERN a_real a_real_sum(a_size n, a_real const *p);
A_EXTERN a_real a_real_sum_(a_size n, a_real const *p, a_size c);

A_EXTERN a_real a_real_sum1(a_size n, a_real const *p);
A_EXTERN a_real a_real_sum1_(a_size n, a_real const *p, a_size c);

A_EXTERN a_real a_real_sum2(a_size n, a_real const *p);
A_EXTERN a_real a_real_sum2_(a_size n, a_real const *p, a_size c);

A_EXTERN a_real a_real_mean(a_size n, a_real const *p);
A_EXTERN a_real a_real_mean_(a_size n, a_real const *p, a_size c);

A_EXTERN a_real a_real_dot(a_size n, a_real const *X, a_real const *Y);

A_EXTERN a_real a_real_dot_(a_size n, a_real const *X, a_size Xc, a_real const *Y, a_size Yc);

A_EXTERN A_NONULL((2, 3)) void a_real_copy(a_size n, a_real *__restrict dst, a_real const *__restrict src);
A_EXTERN void a_real_copy_(a_size n, a_real *dst, a_size dc, a_real const *src, a_size sc);

A_EXTERN A_NONULL((2, 3)) void a_real_swap(a_size n, a_real *__restrict lhs, a_real *__restrict rhs);
A_EXTERN void a_real_swap_(a_size n, a_real *lhs, a_size lc, a_real *rhs, a_size rc);

A_EXTERN void a_real_fill(a_size n, a_real *p, a_real v);

A_EXTERN void a_real_zero(a_size n, a_real *p);

A_EXTERN void a_real_push_fore(a_real *p, a_size n, a_real x);

A_EXTERN void a_real_push_back(a_real *p, a_size n, a_real x);

A_EXTERN void a_real_push_fore_(a_real *block_p, a_size block_n,
                                a_real const *cache_p, a_size cache_n);

A_EXTERN void a_real_push_back_(a_real *block_p, a_size block_n,
                                a_real const *cache_p, a_size cache_n);

A_EXTERN void a_real_roll_fore(a_real *p, a_size n);

A_EXTERN void a_real_roll_back(a_real *p, a_size n);

A_EXTERN void a_real_roll_fore_(a_real *block_p, a_size block_n,
                                a_real *shift_p, a_size shift_n);

A_EXTERN void a_real_roll_back_(a_real *block_p, a_size block_n,
                                a_real *shift_p, a_size shift_n);
 
#if defined(__cplusplus)
} /* extern "C" */
#endif /* __cplusplus */
 
#define a_real_modf A_REAL_F(modf)
#define a_real_frexp A_REAL_F(frexp)
#define a_real_ldexp A_REAL_F(ldexp)
#define a_real_scalbn A_REAL_F(scalbn)
#define a_real_scalbln A_REAL_F(scalbln)
#define a_real_nextafter A_REAL_F(nextafter)
#define a_real_nexttoward A_REAL_F(nexttoward)
#define a_real_copysign A_REAL_F(copysign)
 
#define a_real_ma A_REAL_F(fma)
#define a_real_nan A_REAL_F(nan)
#define a_real_abs A_REAL_F(fabs)
#define a_real_mod A_REAL_F(fmod)
#define a_real_max A_REAL_F(fmax)
#define a_real_min A_REAL_F(fmin)
#define a_real_dim A_REAL_F(fdim)
#define a_real_remquo A_REAL_F(remquo)
#define a_real_remainder A_REAL_F(remainder)
 
#define a_real_exp A_REAL_F(exp)
#define a_real_exp2 A_REAL_F(exp2)
#if defined(A_HAVE_EXPM1) && (A_HAVE_EXPM1 + 0 > 0)
#define a_real_expm1 A_REAL_F(expm1)
#endif /* A_HAVE_EXPM1 */
 
#define a_real_log A_REAL_F(log)
#define a_real_logb A_REAL_F(logb)
#define a_real_log2 A_REAL_F(log2)
#define a_real_log10 A_REAL_F(log10)
#if defined(A_HAVE_LOG1P) && (A_HAVE_LOG1P + 0 > 0)
#define a_real_log1p A_REAL_F(log1p)
#endif /* A_HAVE_LOG1P */
#define a_real_ilogb A_REAL_F(ilogb)
 
#define a_real_pow A_REAL_F(pow)
#define a_real_sqrt A_REAL_F(sqrt)
#define a_real_cbrt A_REAL_F(cbrt)
#if defined(_MSC_VER) && (_MSC_VER < 1900)
#define a_real_hypot A_REAL_F(_hypot)
#elif defined(A_HAVE_HYPOT) && (A_HAVE_HYPOT + 0 > 0)
#define a_real_hypot A_REAL_F(hypot)
#else /* !A_HAVE_HYPOT */
#define a_real_hypot a_real_norm2
#endif /* A_HAVE_HYPOT */
 
#define a_real_sin A_REAL_F(sin)
#define a_real_cos A_REAL_F(cos)
#define a_real_tan A_REAL_F(tan)
#define a_real_asin A_REAL_F(asin)
#define a_real_acos A_REAL_F(acos)
#define a_real_atan A_REAL_F(atan)
#if defined(A_HAVE_ATAN2) && (A_HAVE_ATAN2 + 0 > 0)
#define a_real_atan2 A_REAL_F(atan2)
#endif /* A_HAVE_ATAN2 */
 
#define a_real_sinh A_REAL_F(sinh)
#define a_real_cosh A_REAL_F(cosh)
#define a_real_tanh A_REAL_F(tanh)
#if defined(A_HAVE_ASINH) && (A_HAVE_ASINH + 0 > 0)
#define a_real_asinh A_REAL_F(asinh)
#endif /* A_HAVE_ASINH */
#if defined(A_HAVE_ACOSH) && (A_HAVE_ACOSH + 0 > 0)
#define a_real_acosh A_REAL_F(acosh)
#endif /* A_HAVE_ACOSH */
#if defined(A_HAVE_ATANH) && (A_HAVE_ATANH + 0 > 0)
#define a_real_atanh A_REAL_F(atanh)
#endif /* A_HAVE_ATANH */
 
#define a_real_erf A_REAL_F(erf)
#define a_real_erfc A_REAL_F(erfc)
#define a_real_tgamma A_REAL_F(tgamma)
#define a_real_lgamma A_REAL_F(lgamma)
 
#define a_real_ceil A_REAL_F(ceil)
#define a_real_floor A_REAL_F(floor)
#define a_real_trunc A_REAL_F(trunc)
#define a_real_round A_REAL_F(round)
#define a_real_lround A_REAL_F(lround)
#define a_real_llround A_REAL_F(llround)
#define a_real_nearbyint A_REAL_F(nearbyint)
#define a_real_rint A_REAL_F(rint)
#define a_real_lrintt A_REAL_F(lrint)
#define a_real_llrintt A_REAL_F(llrint)

 
#endif /* a/math.h */