Annotation of src/lib/libm/src/math_private.h, Revision 1.16.8.1
1.1 jtc 1: /*
2: * ====================================================
3: * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4: *
5: * Developed at SunPro, a Sun Microsystems, Inc. business.
6: * Permission to use, copy, modify, and distribute this
1.8 simonb 7: * software is freely granted, provided that this notice
1.1 jtc 8: * is preserved.
9: * ====================================================
10: */
11:
12: /*
13: * from: @(#)fdlibm.h 5.1 93/09/24
1.16.8.1! riz 14: * $NetBSD$
1.1 jtc 15: */
16:
17: #ifndef _MATH_PRIVATE_H_
18: #define _MATH_PRIVATE_H_
19:
1.2 jtc 20: #include <sys/types.h>
1.1 jtc 21:
22: /* The original fdlibm code used statements like:
23: n0 = ((*(int*)&one)>>29)^1; * index of high word *
24: ix0 = *(n0+(int*)&x); * high word of x *
25: ix1 = *((1-n0)+(int*)&x); * low word of x *
26: to dig two 32 bit words out of the 64 bit IEEE floating point
27: value. That is non-ANSI, and, moreover, the gcc instruction
28: scheduler gets it wrong. We instead use the following macros.
29: Unlike the original code, we determine the endianness at compile
30: time, not at run time; I don't see much benefit to selecting
31: endianness at run time. */
32:
33: /* A union which permits us to convert between a double and two 32 bit
34: ints. */
35:
1.4 mark 36: /*
1.11 bjh21 37: * The ARM ports are little endian except for the FPA word order which is
1.4 mark 38: * big endian.
39: */
40:
1.11 bjh21 41: #if (BYTE_ORDER == BIG_ENDIAN) || (defined(__arm__) && !defined(__VFP_FP__))
1.1 jtc 42:
1.8 simonb 43: typedef union
1.1 jtc 44: {
45: double value;
1.8 simonb 46: struct
1.1 jtc 47: {
1.2 jtc 48: u_int32_t msw;
49: u_int32_t lsw;
1.1 jtc 50: } parts;
51: } ieee_double_shape_type;
52:
53: #endif
54:
1.11 bjh21 55: #if (BYTE_ORDER == LITTLE_ENDIAN) && \
56: !(defined(__arm__) && !defined(__VFP_FP__))
1.1 jtc 57:
1.8 simonb 58: typedef union
1.1 jtc 59: {
60: double value;
1.8 simonb 61: struct
1.1 jtc 62: {
1.2 jtc 63: u_int32_t lsw;
64: u_int32_t msw;
1.1 jtc 65: } parts;
66: } ieee_double_shape_type;
67:
68: #endif
69:
70: /* Get two 32 bit ints from a double. */
71:
72: #define EXTRACT_WORDS(ix0,ix1,d) \
73: do { \
74: ieee_double_shape_type ew_u; \
75: ew_u.value = (d); \
76: (ix0) = ew_u.parts.msw; \
77: (ix1) = ew_u.parts.lsw; \
1.13 christos 78: } while (/*CONSTCOND*/0)
1.1 jtc 79:
80: /* Get the more significant 32 bit int from a double. */
81:
82: #define GET_HIGH_WORD(i,d) \
83: do { \
84: ieee_double_shape_type gh_u; \
85: gh_u.value = (d); \
86: (i) = gh_u.parts.msw; \
1.13 christos 87: } while (/*CONSTCOND*/0)
1.1 jtc 88:
89: /* Get the less significant 32 bit int from a double. */
90:
91: #define GET_LOW_WORD(i,d) \
92: do { \
93: ieee_double_shape_type gl_u; \
94: gl_u.value = (d); \
95: (i) = gl_u.parts.lsw; \
1.13 christos 96: } while (/*CONSTCOND*/0)
1.1 jtc 97:
98: /* Set a double from two 32 bit ints. */
99:
100: #define INSERT_WORDS(d,ix0,ix1) \
101: do { \
102: ieee_double_shape_type iw_u; \
103: iw_u.parts.msw = (ix0); \
104: iw_u.parts.lsw = (ix1); \
105: (d) = iw_u.value; \
1.13 christos 106: } while (/*CONSTCOND*/0)
1.1 jtc 107:
108: /* Set the more significant 32 bits of a double from an int. */
109:
110: #define SET_HIGH_WORD(d,v) \
111: do { \
112: ieee_double_shape_type sh_u; \
113: sh_u.value = (d); \
114: sh_u.parts.msw = (v); \
115: (d) = sh_u.value; \
1.13 christos 116: } while (/*CONSTCOND*/0)
1.1 jtc 117:
118: /* Set the less significant 32 bits of a double from an int. */
119:
120: #define SET_LOW_WORD(d,v) \
121: do { \
122: ieee_double_shape_type sl_u; \
123: sl_u.value = (d); \
124: sl_u.parts.lsw = (v); \
125: (d) = sl_u.value; \
1.13 christos 126: } while (/*CONSTCOND*/0)
1.1 jtc 127:
128: /* A union which permits us to convert between a float and a 32 bit
129: int. */
130:
131: typedef union
132: {
133: float value;
1.3 jtc 134: u_int32_t word;
1.1 jtc 135: } ieee_float_shape_type;
136:
137: /* Get a 32 bit int from a float. */
138:
139: #define GET_FLOAT_WORD(i,d) \
140: do { \
141: ieee_float_shape_type gf_u; \
142: gf_u.value = (d); \
143: (i) = gf_u.word; \
1.13 christos 144: } while (/*CONSTCOND*/0)
1.1 jtc 145:
146: /* Set a float from a 32 bit int. */
147:
148: #define SET_FLOAT_WORD(d,i) \
149: do { \
150: ieee_float_shape_type sf_u; \
151: sf_u.word = (i); \
152: (d) = sf_u.value; \
1.13 christos 153: } while (/*CONSTCOND*/0)
1.1 jtc 154:
1.14 christos 155: /*
156: * Attempt to get strict C99 semantics for assignment with non-C99 compilers.
157: */
158: #if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
159: #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
160: #else
161: #define STRICT_ASSIGN(type, lval, rval) do { \
162: volatile type __lval; \
163: \
164: if (sizeof(type) >= sizeof(double)) \
165: (lval) = (rval); \
166: else { \
167: __lval = (rval); \
168: (lval) = __lval; \
169: } \
170: } while (/*CONSTCOND*/0)
171: #endif
172:
1.15 christos 173: #ifdef _COMPLEX_H
174:
175: /*
176: * Quoting from ISO/IEC 9899:TC2:
177: *
178: * 6.2.5.13 Types
179: * Each complex type has the same representation and alignment requirements as
180: * an array type containing exactly two elements of the corresponding real type;
181: * the first element is equal to the real part, and the second element to the
182: * imaginary part, of the complex number.
183: */
184: typedef union {
185: float complex z;
186: float parts[2];
187: } float_complex;
188:
189: typedef union {
190: double complex z;
191: double parts[2];
192: } double_complex;
193:
194: typedef union {
195: long double complex z;
1.16 drochner 196: long double parts[2];
1.15 christos 197: } long_double_complex;
198:
199: #define REAL_PART(z) ((z).parts[0])
200: #define IMAG_PART(z) ((z).parts[1])
201:
202: #endif /* _COMPLEX_H */
203:
1.1 jtc 204: /* ieee style elementary functions */
1.8 simonb 205: extern double __ieee754_sqrt __P((double));
206: extern double __ieee754_acos __P((double));
207: extern double __ieee754_acosh __P((double));
208: extern double __ieee754_log __P((double));
209: extern double __ieee754_atanh __P((double));
210: extern double __ieee754_asin __P((double));
211: extern double __ieee754_atan2 __P((double,double));
1.1 jtc 212: extern double __ieee754_exp __P((double));
213: extern double __ieee754_cosh __P((double));
214: extern double __ieee754_fmod __P((double,double));
215: extern double __ieee754_pow __P((double,double));
216: extern double __ieee754_lgamma_r __P((double,int *));
217: extern double __ieee754_gamma_r __P((double,int *));
218: extern double __ieee754_lgamma __P((double));
219: extern double __ieee754_gamma __P((double));
220: extern double __ieee754_log10 __P((double));
1.12 christos 221: extern double __ieee754_log2 __P((double));
1.1 jtc 222: extern double __ieee754_sinh __P((double));
223: extern double __ieee754_hypot __P((double,double));
224: extern double __ieee754_j0 __P((double));
225: extern double __ieee754_j1 __P((double));
226: extern double __ieee754_y0 __P((double));
227: extern double __ieee754_y1 __P((double));
228: extern double __ieee754_jn __P((int,double));
229: extern double __ieee754_yn __P((int,double));
230: extern double __ieee754_remainder __P((double,double));
231: extern int __ieee754_rem_pio2 __P((double,double*));
232: extern double __ieee754_scalb __P((double,double));
233:
234: /* fdlibm kernel function */
1.8 simonb 235: extern double __kernel_standard __P((double,double,int));
1.1 jtc 236: extern double __kernel_sin __P((double,double,int));
237: extern double __kernel_cos __P((double,double));
238: extern double __kernel_tan __P((double,double,int));
239: extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
240:
241:
242: /* ieee style elementary float functions */
1.8 simonb 243: extern float __ieee754_sqrtf __P((float));
244: extern float __ieee754_acosf __P((float));
245: extern float __ieee754_acoshf __P((float));
246: extern float __ieee754_logf __P((float));
247: extern float __ieee754_atanhf __P((float));
248: extern float __ieee754_asinf __P((float));
249: extern float __ieee754_atan2f __P((float,float));
1.1 jtc 250: extern float __ieee754_expf __P((float));
251: extern float __ieee754_coshf __P((float));
252: extern float __ieee754_fmodf __P((float,float));
253: extern float __ieee754_powf __P((float,float));
254: extern float __ieee754_lgammaf_r __P((float,int *));
255: extern float __ieee754_gammaf_r __P((float,int *));
256: extern float __ieee754_lgammaf __P((float));
257: extern float __ieee754_gammaf __P((float));
258: extern float __ieee754_log10f __P((float));
1.12 christos 259: extern float __ieee754_log2f __P((float));
1.1 jtc 260: extern float __ieee754_sinhf __P((float));
261: extern float __ieee754_hypotf __P((float,float));
262: extern float __ieee754_j0f __P((float));
263: extern float __ieee754_j1f __P((float));
264: extern float __ieee754_y0f __P((float));
265: extern float __ieee754_y1f __P((float));
266: extern float __ieee754_jnf __P((int,float));
267: extern float __ieee754_ynf __P((int,float));
268: extern float __ieee754_remainderf __P((float,float));
269: extern int __ieee754_rem_pio2f __P((float,float*));
270: extern float __ieee754_scalbf __P((float,float));
271:
272: /* float versions of fdlibm kernel functions */
273: extern float __kernel_sinf __P((float,float,int));
274: extern float __kernel_cosf __P((float,float));
275: extern float __kernel_tanf __P((float,float,int));
276: extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
277:
1.16.8.1! riz 278: /*
! 279: * TRUNC() is a macro that sets the trailing 27 bits in the mantissa of an
! 280: * IEEE double variable to zero. It must be expression-like for syntactic
! 281: * reasons, and we implement this expression using an inline function
! 282: * instead of a pure macro to avoid depending on the gcc feature of
! 283: * statement-expressions.
! 284: */
! 285: #define TRUNC(d) (_b_trunc(&(d)))
! 286:
! 287: static __inline void
! 288: _b_trunc(volatile double *_dp)
! 289: {
! 290: uint32_t _lw;
! 291:
! 292: GET_LOW_WORD(_lw, *_dp);
! 293: SET_LOW_WORD(*_dp, _lw & 0xf8000000);
! 294: }
! 295:
! 296: struct Double {
! 297: double a;
! 298: double b;
! 299: };
! 300:
! 301: /*
! 302: * Functions internal to the math package, yet not static.
! 303: */
! 304: double __exp__D(double, double);
! 305: struct Double __log__D(double);
! 306:
1.1 jtc 307: #endif /* _MATH_PRIVATE_H_ */
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