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 /* Support non-nearest rounding mode. */
63 #define WANT_ROUNDING 1
64 /* Support signaling NaNs. */
67 #ifndef TOINT_INTRINSICS
68 #define TOINT_INTRINSICS 0
72 /* Round x to nearest int in all rounding modes, ties have to be rounded
73 consistently with converttoint so the results match. If the result
74 would be outside of [-2^31, 2^31-1] then the semantics is unspecified. */
75 static double_t roundtoint(double_t);
77 /* Convert x to nearest int in all rounding modes, ties have to be rounded
78 consistently with roundtoint. If the result is not representible in an
79 int32_t then the semantics is unspecified. */
80 static int32_t converttoint(double_t);
83 /* Helps static branch prediction so hot path can be better optimized. */
85 #define predict_true(x) __builtin_expect(!!(x), 1)
86 #define predict_false(x) __builtin_expect(x, 0)
88 #define predict_true(x) (x)
89 #define predict_false(x) (x)
92 /* Evaluate an expression as the specified type. With standard excess
93 precision handling a type cast or assignment is enough (with
94 -ffloat-store an assignment is required, in old compilers argument
95 passing and return statement may not drop excess precision). */
97 static inline float eval_as_float(float x)
103 static inline double eval_as_double(double x)
109 /* fp_barrier returns its input, but limits code transformations
110 as if it had a side-effect (e.g. observable io) and returned
111 an arbitrary value. */
114 #define fp_barrierf fp_barrierf
115 static inline float fp_barrierf(float x)
117 volatile float y = x;
123 #define fp_barrier fp_barrier
124 static inline double fp_barrier(double x)
126 volatile double y = x;
132 #define fp_barrierl fp_barrierl
133 static inline long double fp_barrierl(long double x)
135 volatile long double y = x;
140 /* fp_force_eval ensures that the input value is computed when that's
141 otherwise unused. To prevent the constant folding of the input
142 expression, an additional fp_barrier may be needed or a compilation
143 mode that does so (e.g. -frounding-math in gcc). Then it can be
144 used to evaluate an expression for its fenv side-effects only. */
146 #ifndef fp_force_evalf
147 #define fp_force_evalf fp_force_evalf
148 static inline void fp_force_evalf(float x)
150 volatile float y = x;
154 #ifndef fp_force_eval
155 #define fp_force_eval fp_force_eval
156 static inline void fp_force_eval(double x)
158 volatile double y = x;
162 #ifndef fp_force_evall
163 #define fp_force_evall fp_force_evall
164 static inline void fp_force_evall(long double x)
166 volatile long double y = x;
170 #define FORCE_EVAL(x) do { \
171 if (sizeof(x) == sizeof(float)) { \
173 } else if (sizeof(x) == sizeof(double)) { \
180 #define asuint(f) ((union{float _f; uint32_t _i;}){f})._i
181 #define asfloat(i) ((union{uint32_t _i; float _f;}){i})._f
182 #define asuint64(f) ((union{double _f; uint64_t _i;}){f})._i
183 #define asdouble(i) ((union{uint64_t _i; double _f;}){i})._f
185 #define EXTRACT_WORDS(hi,lo,d) \
187 uint64_t __u = asuint64(d); \
189 (lo) = (uint32_t)__u; \
192 #define GET_HIGH_WORD(hi,d) \
194 (hi) = asuint64(d) >> 32; \
197 #define GET_LOW_WORD(lo,d) \
199 (lo) = (uint32_t)asuint64(d); \
202 #define INSERT_WORDS(d,hi,lo) \
204 (d) = asdouble(((uint64_t)(hi)<<32) | (uint32_t)(lo)); \
207 #define SET_HIGH_WORD(d,hi) \
208 INSERT_WORDS(d, hi, (uint32_t)asuint64(d))
210 #define SET_LOW_WORD(d,lo) \
211 INSERT_WORDS(d, asuint64(d)>>32, lo)
213 #define GET_FLOAT_WORD(w,d) \
218 #define SET_FLOAT_WORD(d,w) \
223 hidden int __rem_pio2_large(double*,double*,int,int,int);
225 hidden int __rem_pio2(double,double*);
226 hidden double __sin(double,double,int);
227 hidden double __cos(double,double);
228 hidden double __tan(double,double,int);
229 hidden double __expo2(double);
231 hidden int __rem_pio2f(float,double*);
232 hidden float __sindf(double);
233 hidden float __cosdf(double);
234 hidden float __tandf(double,int);
235 hidden float __expo2f(float);
237 hidden int __rem_pio2l(long double, long double *);
238 hidden long double __sinl(long double, long double, int);
239 hidden long double __cosl(long double, long double);
240 hidden long double __tanl(long double, long double, int);
242 hidden long double __polevll(long double, const long double *, int);
243 hidden long double __p1evll(long double, const long double *, int);
245 extern int __signgam;
246 hidden double __lgamma_r(double, int *);
247 hidden float __lgammaf_r(float, int *);
249 /* error handling functions */
250 hidden float __math_xflowf(uint32_t, float);
251 hidden float __math_uflowf(uint32_t);
252 hidden float __math_oflowf(uint32_t);
253 hidden float __math_divzerof(uint32_t);
254 hidden float __math_invalidf(float);
255 hidden double __math_xflow(uint32_t, double);
256 hidden double __math_uflow(uint32_t);
257 hidden double __math_oflow(uint32_t);
258 hidden double __math_divzero(uint32_t);
259 hidden double __math_invalid(double);