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- #ifndef _MATH_H
- # error "Never use <bits/mathinline.h> directly; include <math.h> instead."
- #endif
- #include <bits/wordsize.h>
- #if defined __GNUC__
- #ifdef __USE_ISOC99
- #if __WORDSIZE == 32
- # define __unordered_cmp(x, y) \
- (__extension__ \
- ({ unsigned __r; \
- if (sizeof(x) == 4 && sizeof(y) == 4) \
- { \
- float __x = (x); float __y = (y); \
- __asm__("fcmps %1,%2; st %%fsr, %0" : "=m" (__r) : "f" (__x), \
- "f" (__y) : "cc"); \
- } \
- else \
- { \
- double __x = (x); double __y = (y); \
- __asm__("fcmpd\t%1,%2\n\tst\t%%fsr,%0" : "=m" (__r) : "f" (__x), \
- "f" (__y) : "cc"); \
- } \
- __r; }))
- # define isgreater(x, y) ((__unordered_cmp (x, y) & (3 << 10)) == (2 << 10))
- # define isgreaterequal(x, y) ((__unordered_cmp (x, y) & (1 << 10)) == 0)
- # define isless(x, y) ((__unordered_cmp (x, y) & (3 << 10)) == (1 << 10))
- # define islessequal(x, y) ((__unordered_cmp (x, y) & (2 << 10)) == 0)
- # define islessgreater(x, y) (((__unordered_cmp (x, y) + (1 << 10)) & (2 << 10)) != 0)
- # define isunordered(x, y) ((__unordered_cmp (x, y) & (3 << 10)) == (3 << 10))
- #else
- # define __unordered_v9cmp(x, y, op, qop) \
- (__extension__ \
- ({ unsigned __r; \
- if (sizeof(x) == 4 && sizeof(y) == 4) \
- { \
- float __x = (x); float __y = (y); \
- __asm__("fcmps\t%%fcc3,%1,%2\n\tmov" op "\t%%fcc3,1,%0" \
- : "=r" (__r) : "f" (__x), "f" (__y), "0" (0) : "cc"); \
- } \
- else if (sizeof(x) <= 8 && sizeof(y) <= 8) \
- { \
- double __x = (x); double __y = (y); \
- __asm__("fcmpd\t%%fcc3,%1,%2\n\tmov" op "\t%%fcc3,1,%0" \
- : "=r" (__r) : "f" (__x), "f" (__y), "0" (0) : "cc"); \
- } \
- else \
- { \
- long double __x = (x); long double __y = (y); \
- extern int _Qp_cmp(const long double *a, const long double *b); \
- __r = qop; \
- } \
- __r; }))
- # define isgreater(x, y) __unordered_v9cmp(x, y, "g", _Qp_cmp (&__x, &__y) == 2)
- # define isgreaterequal(x, y) __unordered_v9cmp(x, y, "ge", (_Qp_cmp (&__x, &__y) & 1) == 0)
- # define isless(x, y) __unordered_v9cmp(x, y, "l", _Qp_cmp (&__x, &__y) == 1)
- # define islessequal(x, y) __unordered_v9cmp(x, y, "le", (_Qp_cmp (&__x, &__y) & 2) == 0)
- # define islessgreater(x, y) __unordered_v9cmp(x, y, "lg", ((_Qp_cmp (&__x, &__y) + 1) & 2) != 0)
- # define isunordered(x, y) __unordered_v9cmp(x, y, "u", _Qp_cmp (&__x, &__y) == 3)
- #endif
- #endif
- #if (!defined __NO_MATH_INLINES || defined __LIBC_INTERNAL_MATH_INLINES) && defined __OPTIMIZE__
- #ifdef __cplusplus
- # define __MATH_INLINE __inline
- #else
- # define __MATH_INLINE extern __inline
- #endif
- # if __GNUC_PREREQ (2, 8)
-
- __MATH_INLINE int
- __signbitf (float __x) __THROW
- {
- __extension__ union { float __f; int __i; } __u = { __f: __x };
- return __u.__i < 0;
- }
- #if __WORDSIZE == 32
- __MATH_INLINE int
- __signbit (double __x) __THROW
- {
- __extension__ union { double __d; int __i[2]; } __u = { __d: __x };
- return __u.__i[0] < 0;
- }
- __MATH_INLINE int
- __signbitl (long double __x) __THROW
- {
- return __signbit ((double)__x);
- }
- #else
- __MATH_INLINE int
- __signbit (double __x) __THROW
- {
- __extension__ union { double __d; long __i; } __u = { __d: __x };
- return __u.__i < 0;
- }
- __MATH_INLINE int
- __signbitl (long double __x) __THROW
- {
- __extension__ union { long double __l; long __i[2]; } __u = { __l: __x };
- return __u.__i[0] < 0;
- }
- #endif
- #ifndef __NO_MATH_INLINES
- __MATH_INLINE double
- sqrt(double __x) __THROW
- {
- register double __r;
- __asm ("fsqrtd %1,%0" : "=f" (__r) : "f" (__x));
- return __r;
- }
- __MATH_INLINE float
- sqrtf(float __x) __THROW
- {
- register float __r;
- __asm ("fsqrts %1,%0" : "=f" (__r) : "f" (__x));
- return __r;
- }
- #if __WORDSIZE == 64
- __MATH_INLINE long double
- sqrtl(long double __x) __THROW
- {
- long double __r;
- extern void _Qp_sqrt(long double *, __const__ long double *);
- _Qp_sqrt(&__r, &__x);
- return __r;
- }
- #endif
- #endif
- #ifdef __LIBC_INTERNAL_MATH_INLINES
- __MATH_INLINE double
- __ieee754_sqrt(double __x)
- {
- register double __r;
- __asm ("fsqrtd %1,%0" : "=f" (__r) : "f" (__x));
- return __r;
- }
- __MATH_INLINE float
- __ieee754_sqrtf(float __x)
- {
- register float __r;
- __asm ("fsqrts %1,%0" : "=f" (__r) : "f" (__x));
- return __r;
- }
- #if __WORDSIZE == 64
- __MATH_INLINE long double
- __ieee754_sqrtl(long double __x)
- {
- long double __r;
- extern void _Qp_sqrt(long double *, __const__ long double *);
- _Qp_sqrt(&__r, &__x);
- return __r;
- }
- #endif
- #endif
- #endif
- #ifdef __USE_ISOC99
- #ifndef __NO_MATH_INLINES
- __MATH_INLINE double fdim (double __x, double __y);
- __MATH_INLINE double
- fdim (double __x, double __y)
- {
- return __x < __y ? 0 : __x - __y;
- }
- __MATH_INLINE float fdimf (float __x, float __y);
- __MATH_INLINE float
- fdimf (float __x, float __y)
- {
- return __x < __y ? 0 : __x - __y;
- }
- #endif
- #endif
- #endif
- #endif
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