10 #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
11 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
19 #elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
20 /* This is the m68k variant of 80-bit long double, and this definition only works
21 * on archs where the alignment requirement of uint64_t is <= 4. */
30 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
44 #elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
59 #error Unsupported long double representation
62 /* Helps static branch prediction so hot path can be better optimized. */
64 #define predict_true(x) __builtin_expect(!!(x), 1)
65 #define predict_false(x) __builtin_expect(x, 0)
67 #define predict_true(x) (x)
68 #define predict_false(x) (x)
71 /* Evaluate an expression as the specified type. With standard excess
72 precision handling a type cast or assignment is enough (with
73 -ffloat-store an assignment is required, in old compilers argument
74 passing and return statement may not drop excess precision). */
76 static inline float eval_as_float(float x)
82 static inline double eval_as_double(double x)
88 /* fp_barrier returns its input, but limits code transformations
89 as if it had a side-effect (e.g. observable io) and returned
90 an arbitrary value. */
93 #define fp_barrierf fp_barrierf
94 static inline float fp_barrierf(float x)
102 #define fp_barrier fp_barrier
103 static inline double fp_barrier(double x)
105 volatile double y = x;
111 #define fp_barrierl fp_barrierl
112 static inline long double fp_barrierl(long double x)
114 volatile long double y = x;
119 /* fp_force_eval ensures that the input value is computed when that's
120 otherwise unused. To prevent the constant folding of the input
121 expression, an additional fp_barrier may be needed or a compilation
122 mode that does so (e.g. -frounding-math in gcc). Then it can be
123 used to evaluate an expression for its fenv side-effects only. */
125 #ifndef fp_force_evalf
126 #define fp_force_evalf fp_force_evalf
127 static inline void fp_force_evalf(float x)
129 volatile float y = x;
133 #ifndef fp_force_eval
134 #define fp_force_eval fp_force_eval
135 static inline void fp_force_eval(double x)
137 volatile double y = x;
141 #ifndef fp_force_evall
142 #define fp_force_evall fp_force_evall
143 static inline void fp_force_evall(long double x)
145 volatile long double y = x;
149 #define FORCE_EVAL(x) do { \
150 if (sizeof(x) == sizeof(float)) { \
152 } else if (sizeof(x) == sizeof(double)) { \
159 #define asuint(f) ((union{float _f; uint32_t _i;}){f})._i
160 #define asfloat(i) ((union{uint32_t _i; float _f;}){i})._f
161 #define asuint64(f) ((union{double _f; uint64_t _i;}){f})._i
162 #define asdouble(i) ((union{uint64_t _i; double _f;}){i})._f
164 #define EXTRACT_WORDS(hi,lo,d) \
166 uint64_t __u = asuint64(d); \
168 (lo) = (uint32_t)__u; \
171 #define GET_HIGH_WORD(hi,d) \
173 (hi) = asuint64(d) >> 32; \
176 #define GET_LOW_WORD(lo,d) \
178 (lo) = (uint32_t)asuint64(d); \
181 #define INSERT_WORDS(d,hi,lo) \
183 (d) = asdouble(((uint64_t)(hi)<<32) | (uint32_t)(lo)); \
186 #define SET_HIGH_WORD(d,hi) \
187 INSERT_WORDS(d, hi, (uint32_t)asuint64(d))
189 #define SET_LOW_WORD(d,lo) \
190 INSERT_WORDS(d, asuint64(d)>>32, lo)
192 #define GET_FLOAT_WORD(w,d) \
197 #define SET_FLOAT_WORD(d,w) \
202 hidden int __rem_pio2_large(double*,double*,int,int,int);
204 hidden int __rem_pio2(double,double*);
205 hidden double __sin(double,double,int);
206 hidden double __cos(double,double);
207 hidden double __tan(double,double,int);
208 hidden double __expo2(double);
210 hidden int __rem_pio2f(float,double*);
211 hidden float __sindf(double);
212 hidden float __cosdf(double);
213 hidden float __tandf(double,int);
214 hidden float __expo2f(float);
216 hidden int __rem_pio2l(long double, long double *);
217 hidden long double __sinl(long double, long double, int);
218 hidden long double __cosl(long double, long double);
219 hidden long double __tanl(long double, long double, int);
221 hidden long double __polevll(long double, const long double *, int);
222 hidden long double __p1evll(long double, const long double *, int);
224 extern int __signgam;
225 hidden double __lgamma_r(double, int *);
226 hidden float __lgammaf_r(float, int *);
228 /* error handling functions */
229 hidden float __math_xflowf(uint32_t, float);
230 hidden float __math_uflowf(uint32_t);
231 hidden float __math_oflowf(uint32_t);
232 hidden float __math_divzerof(uint32_t);
233 hidden float __math_invalidf(float);
234 hidden double __math_xflow(uint32_t, double);
235 hidden double __math_uflow(uint32_t);
236 hidden double __math_oflow(uint32_t);
237 hidden double __math_divzero(uint32_t);
238 hidden double __math_invalid(double);