summaryrefslogtreecommitdiff
path: root/recipes/uclibc/uclibc-svn/uclibc_mathc99.patch
blob: 6fbb11af6b67d1118b9ba055d61ffdffa2ee1377 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
Index: uClibc/test/math/libm-test.inc
===================================================================
--- uClibc.orig/test/math/libm-test.inc	2008-07-25 11:03:24.000000000 +0200
+++ uClibc/test/math/libm-test.inc	2008-08-28 10:54:29.714525665 +0200
@@ -3414,7 +3414,6 @@
 }
 
 
-#if 0
 static void
 log2_test (void)
 {
@@ -3444,7 +3443,6 @@
 
   END (log2);
 }
-#endif
 
 
 static void
@@ -4967,9 +4965,7 @@
   log_test ();
   log10_test ();
   log1p_test ();
-#if 0
   log2_test ();
-#endif
   logb_test ();
   modf_test ();
   ilogb_test ();
Index: uClibc/libm/Makefile.in
===================================================================
--- uClibc.orig/libm/Makefile.in	2008-07-25 11:03:27.000000000 +0200
+++ uClibc/libm/Makefile.in	2008-08-28 10:54:29.714525665 +0200
@@ -62,7 +62,7 @@
 libm_CSRC := \
 	e_acos.c e_acosh.c e_asin.c e_atan2.c e_atanh.c e_cosh.c \
 	e_exp.c e_fmod.c e_gamma.c e_gamma_r.c e_hypot.c e_j0.c \
-	e_j1.c e_jn.c e_lgamma.c e_lgamma_r.c e_log.c e_log10.c \
+	e_j1.c e_jn.c e_lgamma.c e_lgamma_r.c e_log.c e_log2.c e_log10.c \
 	e_pow.c e_remainder.c e_rem_pio2.c e_scalb.c e_sinh.c \
 	e_sqrt.c k_cos.c k_rem_pio2.c k_sin.c k_standard.c k_tan.c \
 	s_asinh.c s_atan.c s_cbrt.c s_ceil.c s_copysign.c s_cos.c \
@@ -73,7 +73,7 @@
 	s_tanh.c s_trunc.c w_acos.c w_acosh.c w_asin.c w_atan2.c w_atanh.c \
 	w_cabs.c w_cosh.c w_drem.c w_exp.c w_fmod.c w_gamma.c w_gamma_r.c \
 	w_hypot.c w_j0.c w_j1.c w_jn.c w_lgamma.c w_lgamma_r.c \
-	w_log.c w_log10.c w_pow.c w_remainder.c w_scalb.c w_sinh.c \
+	w_log.c w_log2.c w_log10.c w_pow.c w_remainder.c w_scalb.c w_sinh.c \
 	w_sqrt.c fpmacros.c nan.c carg.c s_llrint.c
 FL_MOBJ := \
 	acosf.o acoshf.o asinf.o asinhf.o atan2f.o atanf.o atanhf.o cbrtf.o \
@@ -89,10 +89,10 @@
 libm_CSRC := \
 	w_acos.c w_asin.c s_atan.c w_atan2.c s_ceil.c s_cos.c \
 	w_cosh.c w_exp.c s_fabs.c s_floor.c w_fmod.c s_frexp.c \
-	s_ldexp.c w_log.c w_log10.c s_modf.c w_pow.c s_sin.c \
+	s_ldexp.c w_log.c w_log2.c w_log10.c s_modf.c w_pow.c s_sin.c \
 	w_sinh.c w_sqrt.c s_tan.c s_tanh.c \
 	s_expm1.c s_scalbn.c s_copysign.c e_acos.c e_asin.c e_atan2.c \
-	k_cos.c e_cosh.c e_exp.c e_fmod.c e_log.c e_log10.c e_pow.c \
+	k_cos.c e_cosh.c e_exp.c e_fmod.c e_log.c e_log2.c e_log10.c e_pow.c \
 	k_sin.c e_sinh.c e_sqrt.c k_tan.c e_rem_pio2.c k_rem_pio2.c \
 	s_finite.c
 # We'll add sqrtf to avoid problems with libstdc++
Index: uClibc/libm/w_log2.c
===================================================================
--- /dev/null	1970-01-01 00:00:00.000000000 +0000
+++ uClibc/libm/w_log2.c	2008-08-28 10:58:48.676013259 +0200
@@ -0,0 +1,33 @@
+/*
+ * wrapper log2(X)
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+libm_hidden_proto(log2)
+#ifdef __STDC__
+	double log2(double x)		/* wrapper log */
+#else
+	double log2(x)			/* wrapper log */
+	double x;
+#endif
+{
+#ifdef _IEEE_LIBM
+  return __ieee754_log2 (x);
+#else
+  double z;
+  z = __ieee754_log2 (x);
+  if (_LIB_VERSION == _IEEE_ || __isnan (x)) return z;
+  if (x <= 0.0)
+    {
+      if (x == 0.0)
+	return __kernel_standard (x, x, 48); /* log2 (0) */
+      else
+	return __kernel_standard (x, x, 49); /* log2 (x < 0) */
+    }
+  else
+    return z;
+#endif
+}
+libm_hidden_def(log2)
Index: uClibc/libm/e_log2.c
===================================================================
--- /dev/null	1970-01-01 00:00:00.000000000 +0000
+++ uClibc/libm/e_log2.c	2008-08-28 10:54:29.717859030 +0200
@@ -0,0 +1,130 @@
+/* Adapted for log2 by Ulrich Drepper <drepper@cygnus.com>.  */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* __ieee754_log2(x)
+ * Return the logarithm to base 2 of x
+ *
+ * Method :
+ *   1. Argument Reduction: find k and f such that
+ *			x = 2^k * (1+f),
+ *	   where  sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ *   2. Approximation of log(1+f).
+ *	Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ *		 = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ *	     	 = 2s + s*R
+ *      We use a special Reme algorithm on [0,0.1716] to generate
+ * 	a polynomial of degree 14 to approximate R The maximum error
+ *	of this polynomial approximation is bounded by 2**-58.45. In
+ *	other words,
+ *		        2      4      6      8      10      12      14
+ *	    R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s  +Lg6*s  +Lg7*s
+ *  	(the values of Lg1 to Lg7 are listed in the program)
+ *	and
+ *	    |      2          14          |     -58.45
+ *	    | Lg1*s +...+Lg7*s    -  R(z) | <= 2
+ *	    |                             |
+ *	Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ *	In order to guarantee error in log below 1ulp, we compute log
+ *	by
+ *		log(1+f) = f - s*(f - R)	(if f is not too large)
+ *		log(1+f) = f - (hfsq - s*(hfsq+R)).	(better accuracy)
+ *
+ *	3. Finally,  log(x) = k + log(1+f).
+ *			    = k+(f-(hfsq-(s*(hfsq+R))))
+ *
+ * Special cases:
+ *	log2(x) is NaN with signal if x < 0 (including -INF) ;
+ *	log2(+INF) is +INF; log(0) is -INF with signal;
+ *	log2(NaN) is that NaN with no signal.
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef __STDC__
+static const double
+#else
+static double
+#endif
+ln2 = 0.69314718055994530942,
+two54   =  1.80143985094819840000e+16,  /* 43500000 00000000 */
+Lg1 = 6.666666666666735130e-01,  /* 3FE55555 55555593 */
+Lg2 = 3.999999999940941908e-01,  /* 3FD99999 9997FA04 */
+Lg3 = 2.857142874366239149e-01,  /* 3FD24924 94229359 */
+Lg4 = 2.222219843214978396e-01,  /* 3FCC71C5 1D8E78AF */
+Lg5 = 1.818357216161805012e-01,  /* 3FC74664 96CB03DE */
+Lg6 = 1.531383769920937332e-01,  /* 3FC39A09 D078C69F */
+Lg7 = 1.479819860511658591e-01;  /* 3FC2F112 DF3E5244 */
+
+#ifdef __STDC__
+static const double zero   =  0.0;
+#else
+static double zero   =  0.0;
+#endif
+
+#ifdef __STDC__
+	double attribute_hidden __ieee754_log2(double x)
+#else
+	double attribute_hidden __ieee754_log2(x)
+	double x;
+#endif
+{
+	double hfsq,f,s,z,R,w,t1,t2,dk;
+	int32_t k,hx,i,j;
+	u_int32_t lx;
+
+	EXTRACT_WORDS(hx,lx,x);
+
+	k=0;
+	if (hx < 0x00100000) {			/* x < 2**-1022  */
+	    if (((hx&0x7fffffff)|lx)==0)
+		return -two54/(x-x);		/* log(+-0)=-inf */
+	    if (hx<0) return (x-x)/(x-x);	/* log(-#) = NaN */
+	    k -= 54; x *= two54; /* subnormal number, scale up x */
+	    GET_HIGH_WORD(hx,x);
+	}
+	if (hx >= 0x7ff00000) return x+x;
+	k += (hx>>20)-1023;
+	hx &= 0x000fffff;
+	i = (hx+0x95f64)&0x100000;
+	SET_HIGH_WORD(x,hx|(i^0x3ff00000));	/* normalize x or x/2 */
+	k += (i>>20);
+	dk = (double) k;
+	f = x-1.0;
+	if((0x000fffff&(2+hx))<3) {	/* |f| < 2**-20 */
+	    if(f==zero) return dk;
+	    R = f*f*(0.5-0.33333333333333333*f);
+	    return dk-(R-f)/ln2;
+	}
+ 	s = f/(2.0+f);
+	z = s*s;
+	i = hx-0x6147a;
+	w = z*z;
+	j = 0x6b851-hx;
+	t1= w*(Lg2+w*(Lg4+w*Lg6));
+	t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+	i |= j;
+	R = t2+t1;
+	if(i>0) {
+	    hfsq=0.5*f*f;
+	    return dk-((hfsq-(s*(hfsq+R)))-f)/ln2;
+	} else {
+	    return dk-((s*(f-R))-f)/ln2;
+	}
+}
Index: uClibc/libm/math_private.h
===================================================================
--- uClibc.orig/libm/math_private.h	2008-05-07 00:23:27.000000000 +0200
+++ uClibc/libm/math_private.h	2008-08-28 10:54:29.717859030 +0200
@@ -158,6 +158,7 @@
 extern double __ieee754_acos (double) attribute_hidden;
 extern double __ieee754_acosh (double) attribute_hidden;
 extern double __ieee754_log (double) attribute_hidden;
+extern double __ieee754_log2 (double) attribute_hidden;
 extern double __ieee754_atanh (double) attribute_hidden;
 extern double __ieee754_asin (double) attribute_hidden;
 extern double __ieee754_atan2 (double,double) attribute_hidden;
Index: uClibc/libm/float_wrappers.c
===================================================================
--- uClibc.orig/libm/float_wrappers.c	2008-05-07 00:23:27.000000000 +0200
+++ uClibc/libm/float_wrappers.c	2008-08-28 10:54:29.717859030 +0200
@@ -20,7 +20,6 @@
 #undef L_fmaf          /*float       fmaf(float, float, float);*/
 #undef L_fmaxf         /*float       fmaxf(float, float);*/
 #undef L_fminf         /*float       fminf(float, float);*/
-#undef L_log2f         /*float       log2f(float);*/
 #undef L_nearbyintf    /*float       nearbyintf(float);*/
 #undef L_nexttowardf   /*float       nexttowardf(float, long double);*/
 #undef L_remquof       /*float       remquof(float, float, int *);*/
@@ -55,6 +54,7 @@
 float       lgammaf(float);
 long long   llroundf(float);
 float       log10f(float);
+float       log2f(float);
 float       log1pf(float);
 float       logbf(float);
 float       logf(float);