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Side by Side Diff: fusl/src/math/powf.c

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
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1 /* origin: FreeBSD /usr/src/lib/msun/src/e_powf.c */ 1 /* origin: FreeBSD /usr/src/lib/msun/src/e_powf.c */
2 /* 2 /*
3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 3 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
4 */ 4 */
5 /* 5 /*
6 * ==================================================== 6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
8 * 8 *
9 * Developed at SunPro, a Sun Microsystems, Inc. business. 9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this 10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice 11 * software is freely granted, provided that this notice
12 * is preserved. 12 * is preserved.
13 * ==================================================== 13 * ====================================================
14 */ 14 */
15 15
16 #include "libm.h" 16 #include "libm.h"
17 17
18 static const float 18 static const float bp[] =
19 bp[] = {1.0, 1.5,}, 19 {
20 dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */ 20 1.0, 1.5,
21 dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */ 21 },
22 two24 = 16777216.0, /* 0x4b800000 */ 22 dp_h[] =
23 huge = 1.0e30, 23 {
24 tiny = 1.0e-30, 24 0.0, 5.84960938e-01,
25 /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */ 25 }, /* 0x3f15c000 */
26 L1 = 6.0000002384e-01, /* 0x3f19999a */ 26 dp_l[] =
27 L2 = 4.2857143283e-01, /* 0x3edb6db7 */ 27 {
28 L3 = 3.3333334327e-01, /* 0x3eaaaaab */ 28 0.0, 1.56322085e-06,
29 L4 = 2.7272811532e-01, /* 0x3e8ba305 */ 29 }, /* 0x35d1cfdc */
30 L5 = 2.3066075146e-01, /* 0x3e6c3255 */ 30 two24 = 16777216.0, /* 0x4b800000 */
31 L6 = 2.0697501302e-01, /* 0x3e53f142 */ 31 huge = 1.0e30,
32 P1 = 1.6666667163e-01, /* 0x3e2aaaab */ 32 tiny = 1.0e-30,
33 P2 = -2.7777778450e-03, /* 0xbb360b61 */ 33 /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
34 P3 = 6.6137559770e-05, /* 0x388ab355 */ 34 L1 = 6.0000002384e-01, /* 0x3f19999a */
35 P4 = -1.6533901999e-06, /* 0xb5ddea0e */ 35 L2 = 4.2857143283e-01, /* 0x3edb6db7 */
36 P5 = 4.1381369442e-08, /* 0x3331bb4c */ 36 L3 = 3.3333334327e-01, /* 0x3eaaaaab */
37 lg2 = 6.9314718246e-01, /* 0x3f317218 */ 37 L4 = 2.7272811532e-01, /* 0x3e8ba305 */
38 lg2_h = 6.93145752e-01, /* 0x3f317200 */ 38 L5 = 2.3066075146e-01, /* 0x3e6c3255 */
39 lg2_l = 1.42860654e-06, /* 0x35bfbe8c */ 39 L6 = 2.0697501302e-01, /* 0x3e53f142 */
40 ovt = 4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */ 40 P1 = 1.6666667163e-01, /* 0x3e2aaaab */
41 cp = 9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */ 41 P2 = -2.7777778450e-03, /* 0xbb360b61 */
42 cp_h = 9.6191406250e-01, /* 0x3f764000 =12b cp */ 42 P3 = 6.6137559770e-05, /* 0x388ab355 */
43 cp_l = -1.1736857402e-04, /* 0xb8f623c6 =tail of cp_h */ 43 P4 = -1.6533901999e-06, /* 0xb5ddea0e */
44 ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */ 44 P5 = 4.1381369442e-08, /* 0x3331bb4c */
45 ivln2_h = 1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/ 45 lg2 = 6.9314718246e-01, /* 0x3f317218 */
46 ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/ 46 lg2_h = 6.93145752e-01, /* 0x3f317200 */
47 47 lg2_l = 1.42860654e-06, /* 0x35bfbe8c */
48 float powf(float x, float y) 48 ovt = 4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */
49 { 49 cp = 9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */
50 float z,ax,z_h,z_l,p_h,p_l; 50 cp_h = 9.6191406250e-01, /* 0x3f764000 =12b cp */
51 float y1,t1,t2,r,s,sn,t,u,v,w; 51 cp_l = -1.1736857402e-04, /* 0xb8f623c6 =tail of cp_h */
52 int32_t i,j,k,yisint,n; 52 ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */
53 int32_t hx,hy,ix,iy,is; 53 ivln2_h = 1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/
54 54 ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/
55 GET_FLOAT_WORD(hx, x); 55
56 GET_FLOAT_WORD(hy, y); 56 float powf(float x, float y) {
57 ix = hx & 0x7fffffff; 57 float z, ax, z_h, z_l, p_h, p_l;
58 iy = hy & 0x7fffffff; 58 float y1, t1, t2, r, s, sn, t, u, v, w;
59 59 int32_t i, j, k, yisint, n;
60 /* x**0 = 1, even if x is NaN */ 60 int32_t hx, hy, ix, iy, is;
61 if (iy == 0) 61
62 return 1.0f; 62 GET_FLOAT_WORD(hx, x);
63 /* 1**y = 1, even if y is NaN */ 63 GET_FLOAT_WORD(hy, y);
64 if (hx == 0x3f800000) 64 ix = hx & 0x7fffffff;
65 return 1.0f; 65 iy = hy & 0x7fffffff;
66 /* NaN if either arg is NaN */ 66
67 if (ix > 0x7f800000 || iy > 0x7f800000) 67 /* x**0 = 1, even if x is NaN */
68 return x + y; 68 if (iy == 0)
69 69 return 1.0f;
70 /* determine if y is an odd int when x < 0 70 /* 1**y = 1, even if y is NaN */
71 * yisint = 0 ... y is not an integer 71 if (hx == 0x3f800000)
72 * yisint = 1 ... y is an odd int 72 return 1.0f;
73 * yisint = 2 ... y is an even int 73 /* NaN if either arg is NaN */
74 */ 74 if (ix > 0x7f800000 || iy > 0x7f800000)
75 yisint = 0; 75 return x + y;
76 if (hx < 0) { 76
77 if (iy >= 0x4b800000) 77 /* determine if y is an odd int when x < 0
78 yisint = 2; /* even integer y */ 78 * yisint = 0 ... y is not an integer
79 else if (iy >= 0x3f800000) { 79 * yisint = 1 ... y is an odd int
80 k = (iy>>23) - 0x7f; /* exponent */ 80 * yisint = 2 ... y is an even int
81 j = iy>>(23-k); 81 */
82 if ((j<<(23-k)) == iy) 82 yisint = 0;
83 yisint = 2 - (j & 1); 83 if (hx < 0) {
84 } 84 if (iy >= 0x4b800000)
85 } 85 yisint = 2; /* even integer y */
86 86 else if (iy >= 0x3f800000) {
87 /* special value of y */ 87 k = (iy >> 23) - 0x7f; /* exponent */
88 if (iy == 0x7f800000) { /* y is +-inf */ 88 j = iy >> (23 - k);
89 if (ix == 0x3f800000) /* (-1)**+-inf is 1 */ 89 if ((j << (23 - k)) == iy)
90 return 1.0f; 90 yisint = 2 - (j & 1);
91 else if (ix > 0x3f800000) /* (|x|>1)**+-inf = inf,0 */ 91 }
92 return hy >= 0 ? y : 0.0f; 92 }
93 else /* (|x|<1)**+-inf = 0,inf */ 93
94 return hy >= 0 ? 0.0f: -y; 94 /* special value of y */
95 } 95 if (iy == 0x7f800000) { /* y is +-inf */
96 if (iy == 0x3f800000) /* y is +-1 */ 96 if (ix == 0x3f800000) /* (-1)**+-inf is 1 */
97 return hy >= 0 ? x : 1.0f/x; 97 return 1.0f;
98 if (hy == 0x40000000) /* y is 2 */ 98 else if (ix > 0x3f800000) /* (|x|>1)**+-inf = inf,0 */
99 return x*x; 99 return hy >= 0 ? y : 0.0f;
100 if (hy == 0x3f000000) { /* y is 0.5 */ 100 else /* (|x|<1)**+-inf = 0,inf */
101 if (hx >= 0) /* x >= +0 */ 101 return hy >= 0 ? 0.0f : -y;
102 return sqrtf(x); 102 }
103 } 103 if (iy == 0x3f800000) /* y is +-1 */
104 104 return hy >= 0 ? x : 1.0f / x;
105 ax = fabsf(x); 105 if (hy == 0x40000000) /* y is 2 */
106 /* special value of x */ 106 return x * x;
107 if (ix == 0x7f800000 || ix == 0 || ix == 0x3f800000) { /* x is +-0,+-inf ,+-1 */ 107 if (hy == 0x3f000000) { /* y is 0.5 */
108 z = ax; 108 if (hx >= 0) /* x >= +0 */
109 if (hy < 0) /* z = (1/|x|) */ 109 return sqrtf(x);
110 z = 1.0f/z; 110 }
111 if (hx < 0) { 111
112 if (((ix-0x3f800000)|yisint) == 0) { 112 ax = fabsf(x);
113 z = (z-z)/(z-z); /* (-1)**non-int is NaN */ 113 /* special value of x */
114 } else if (yisint == 1) 114 if (ix == 0x7f800000 || ix == 0 ||
115 z = -z; /* (x<0)**odd = -(|x|**odd) */ 115 ix == 0x3f800000) { /* x is +-0,+-inf,+-1 */
116 } 116 z = ax;
117 return z; 117 if (hy < 0) /* z = (1/|x|) */
118 } 118 z = 1.0f / z;
119 119 if (hx < 0) {
120 sn = 1.0f; /* sign of result */ 120 if (((ix - 0x3f800000) | yisint) == 0) {
121 if (hx < 0) { 121 z = (z - z) / (z - z); /* (-1)**non-int is NaN */
122 if (yisint == 0) /* (x<0)**(non-int) is NaN */ 122 } else if (yisint == 1)
123 return (x-x)/(x-x); 123 z = -z; /* (x<0)**odd = -(|x|**odd) */
124 if (yisint == 1) /* (x<0)**(odd int) */ 124 }
125 sn = -1.0f; 125 return z;
126 } 126 }
127 127
128 /* |y| is huge */ 128 sn = 1.0f; /* sign of result */
129 if (iy > 0x4d000000) { /* if |y| > 2**27 */ 129 if (hx < 0) {
130 /* over/underflow if x is not close to one */ 130 if (yisint == 0) /* (x<0)**(non-int) is NaN */
131 if (ix < 0x3f7ffff8) 131 return (x - x) / (x - x);
132 return hy < 0 ? sn*huge*huge : sn*tiny*tiny; 132 if (yisint == 1) /* (x<0)**(odd int) */
133 if (ix > 0x3f800007) 133 sn = -1.0f;
134 return hy > 0 ? sn*huge*huge : sn*tiny*tiny; 134 }
135 /* now |1-x| is tiny <= 2**-20, suffice to compute 135
136 log(x) by x-x^2/2+x^3/3-x^4/4 */ 136 /* |y| is huge */
137 t = ax - 1; /* t has 20 trailing zeros */ 137 if (iy > 0x4d000000) { /* if |y| > 2**27 */
138 w = (t*t)*(0.5f - t*(0.333333333333f - t*0.25f)); 138 /* over/underflow if x is not close to one */
139 u = ivln2_h*t; /* ivln2_h has 16 sig. bits */ 139 if (ix < 0x3f7ffff8)
140 v = t*ivln2_l - w*ivln2; 140 return hy < 0 ? sn * huge * huge : sn * tiny * tiny;
141 t1 = u + v; 141 if (ix > 0x3f800007)
142 GET_FLOAT_WORD(is, t1); 142 return hy > 0 ? sn * huge * huge : sn * tiny * tiny;
143 SET_FLOAT_WORD(t1, is & 0xfffff000); 143 /* now |1-x| is tiny <= 2**-20, suffice to compute
144 t2 = v - (t1-u); 144 log(x) by x-x^2/2+x^3/3-x^4/4 */
145 } else { 145 t = ax - 1; /* t has 20 trailing zeros */
146 float s2,s_h,s_l,t_h,t_l; 146 w = (t * t) * (0.5f - t * (0.333333333333f - t * 0.25f));
147 n = 0; 147 u = ivln2_h * t; /* ivln2_h has 16 sig. bits */
148 /* take care subnormal number */ 148 v = t * ivln2_l - w * ivln2;
149 if (ix < 0x00800000) { 149 t1 = u + v;
150 ax *= two24; 150 GET_FLOAT_WORD(is, t1);
151 n -= 24; 151 SET_FLOAT_WORD(t1, is & 0xfffff000);
152 GET_FLOAT_WORD(ix, ax); 152 t2 = v - (t1 - u);
153 } 153 } else {
154 n += ((ix)>>23) - 0x7f; 154 float s2, s_h, s_l, t_h, t_l;
155 j = ix & 0x007fffff; 155 n = 0;
156 /* determine interval */ 156 /* take care subnormal number */
157 ix = j | 0x3f800000; /* normalize ix */ 157 if (ix < 0x00800000) {
158 if (j <= 0x1cc471) /* |x|<sqrt(3/2) */ 158 ax *= two24;
159 k = 0; 159 n -= 24;
160 else if (j < 0x5db3d7) /* |x|<sqrt(3) */ 160 GET_FLOAT_WORD(ix, ax);
161 k = 1; 161 }
162 else { 162 n += ((ix) >> 23) - 0x7f;
163 k = 0; 163 j = ix & 0x007fffff;
164 n += 1; 164 /* determine interval */
165 ix -= 0x00800000; 165 ix = j | 0x3f800000; /* normalize ix */
166 } 166 if (j <= 0x1cc471) /* |x|<sqrt(3/2) */
167 SET_FLOAT_WORD(ax, ix); 167 k = 0;
168 168 else if (j < 0x5db3d7) /* |x|<sqrt(3) */
169 /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */ 169 k = 1;
170 u = ax - bp[k]; /* bp[0]=1.0, bp[1]=1.5 */ 170 else {
171 v = 1.0f/(ax+bp[k]); 171 k = 0;
172 s = u*v; 172 n += 1;
173 s_h = s; 173 ix -= 0x00800000;
174 GET_FLOAT_WORD(is, s_h); 174 }
175 SET_FLOAT_WORD(s_h, is & 0xfffff000); 175 SET_FLOAT_WORD(ax, ix);
176 /* t_h=ax+bp[k] High */ 176
177 is = ((ix>>1) & 0xfffff000) | 0x20000000; 177 /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
178 SET_FLOAT_WORD(t_h, is + 0x00400000 + (k<<21)); 178 u = ax - bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
179 t_l = ax - (t_h - bp[k]); 179 v = 1.0f / (ax + bp[k]);
180 s_l = v*((u - s_h*t_h) - s_h*t_l); 180 s = u * v;
181 /* compute log(ax) */ 181 s_h = s;
182 s2 = s*s; 182 GET_FLOAT_WORD(is, s_h);
183 r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6))))); 183 SET_FLOAT_WORD(s_h, is & 0xfffff000);
184 r += s_l*(s_h+s); 184 /* t_h=ax+bp[k] High */
185 s2 = s_h*s_h; 185 is = ((ix >> 1) & 0xfffff000) | 0x20000000;
186 t_h = 3.0f + s2 + r; 186 SET_FLOAT_WORD(t_h, is + 0x00400000 + (k << 21));
187 GET_FLOAT_WORD(is, t_h); 187 t_l = ax - (t_h - bp[k]);
188 SET_FLOAT_WORD(t_h, is & 0xfffff000); 188 s_l = v * ((u - s_h * t_h) - s_h * t_l);
189 t_l = r - ((t_h - 3.0f) - s2); 189 /* compute log(ax) */
190 /* u+v = s*(1+...) */ 190 s2 = s * s;
191 u = s_h*t_h; 191 r = s2 * s2 *
192 v = s_l*t_h + t_l*s; 192 (L1 + s2 * (L2 + s2 * (L3 + s2 * (L4 + s2 * (L5 + s2 * L6)))));
193 /* 2/(3log2)*(s+...) */ 193 r += s_l * (s_h + s);
194 p_h = u + v; 194 s2 = s_h * s_h;
195 GET_FLOAT_WORD(is, p_h); 195 t_h = 3.0f + s2 + r;
196 SET_FLOAT_WORD(p_h, is & 0xfffff000); 196 GET_FLOAT_WORD(is, t_h);
197 p_l = v - (p_h - u); 197 SET_FLOAT_WORD(t_h, is & 0xfffff000);
198 z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */ 198 t_l = r - ((t_h - 3.0f) - s2);
199 z_l = cp_l*p_h + p_l*cp+dp_l[k]; 199 /* u+v = s*(1+...) */
200 /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */ 200 u = s_h * t_h;
201 t = (float)n; 201 v = s_l * t_h + t_l * s;
202 t1 = (((z_h + z_l) + dp_h[k]) + t); 202 /* 2/(3log2)*(s+...) */
203 GET_FLOAT_WORD(is, t1); 203 p_h = u + v;
204 SET_FLOAT_WORD(t1, is & 0xfffff000); 204 GET_FLOAT_WORD(is, p_h);
205 t2 = z_l - (((t1 - t) - dp_h[k]) - z_h); 205 SET_FLOAT_WORD(p_h, is & 0xfffff000);
206 } 206 p_l = v - (p_h - u);
207 207 z_h = cp_h * p_h; /* cp_h+cp_l = 2/(3*log2) */
208 /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ 208 z_l = cp_l * p_h + p_l * cp + dp_l[k];
209 GET_FLOAT_WORD(is, y); 209 /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
210 SET_FLOAT_WORD(y1, is & 0xfffff000); 210 t = (float)n;
211 p_l = (y-y1)*t1 + y*t2; 211 t1 = (((z_h + z_l) + dp_h[k]) + t);
212 p_h = y1*t1; 212 GET_FLOAT_WORD(is, t1);
213 z = p_l + p_h; 213 SET_FLOAT_WORD(t1, is & 0xfffff000);
214 GET_FLOAT_WORD(j, z); 214 t2 = z_l - (((t1 - t) - dp_h[k]) - z_h);
215 if (j > 0x43000000) /* if z > 128 */ 215 }
216 return sn*huge*huge; /* overflow */ 216
217 else if (j == 0x43000000) { /* if z == 128 */ 217 /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
218 if (p_l + ovt > z - p_h) 218 GET_FLOAT_WORD(is, y);
219 return sn*huge*huge; /* overflow */ 219 SET_FLOAT_WORD(y1, is & 0xfffff000);
220 } else if ((j&0x7fffffff) > 0x43160000) /* z < -150 */ // FIXME: check should be (uint32_t)j > 0xc3160000 220 p_l = (y - y1) * t1 + y * t2;
221 return sn*tiny*tiny; /* underflow */ 221 p_h = y1 * t1;
222 else if (j == 0xc3160000) { /* z == -150 */ 222 z = p_l + p_h;
223 if (p_l <= z-p_h) 223 GET_FLOAT_WORD(j, z);
224 return sn*tiny*tiny; /* underflow */ 224 if (j > 0x43000000) /* if z > 128 */
225 } 225 return sn * huge * huge; /* overflow */
226 /* 226 else if (j == 0x43000000) { /* if z == 128 */
227 * compute 2**(p_h+p_l) 227 if (p_l + ovt > z - p_h)
228 */ 228 return sn * huge * huge; /* overflow */
229 i = j & 0x7fffffff; 229 } else if ((j & 0x7fffffff) > 0x43160000) /* z < -150 */ // FIXME: check
230 k = (i>>23) - 0x7f; 230 // should be
231 n = 0; 231 // (uint32_t)j >
232 if (i > 0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */ 232 // 0xc3160000
233 n = j + (0x00800000>>(k+1)); 233 return sn * tiny * tiny; /* underflow */
234 k = ((n&0x7fffffff)>>23) - 0x7f; /* new k for n */ 234 else if (j == 0xc3160000) { /* z == -150 */
235 SET_FLOAT_WORD(t, n & ~(0x007fffff>>k)); 235 if (p_l <= z - p_h)
236 n = ((n&0x007fffff)|0x00800000)>>(23-k); 236 return sn * tiny * tiny; /* underflow */
237 if (j < 0) 237 }
238 n = -n; 238 /*
239 p_h -= t; 239 * compute 2**(p_h+p_l)
240 } 240 */
241 t = p_l + p_h; 241 i = j & 0x7fffffff;
242 GET_FLOAT_WORD(is, t); 242 k = (i >> 23) - 0x7f;
243 SET_FLOAT_WORD(t, is & 0xffff8000); 243 n = 0;
244 u = t*lg2_h; 244 if (i > 0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */
245 v = (p_l-(t-p_h))*lg2 + t*lg2_l; 245 n = j + (0x00800000 >> (k + 1));
246 z = u + v; 246 k = ((n & 0x7fffffff) >> 23) - 0x7f; /* new k for n */
247 w = v - (z - u); 247 SET_FLOAT_WORD(t, n & ~(0x007fffff >> k));
248 t = z*z; 248 n = ((n & 0x007fffff) | 0x00800000) >> (23 - k);
249 t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); 249 if (j < 0)
250 r = (z*t1)/(t1-2.0f) - (w+z*w); 250 n = -n;
251 z = 1.0f - (r - z); 251 p_h -= t;
252 GET_FLOAT_WORD(j, z); 252 }
253 j += n<<23; 253 t = p_l + p_h;
254 if ((j>>23) <= 0) /* subnormal output */ 254 GET_FLOAT_WORD(is, t);
255 z = scalbnf(z, n); 255 SET_FLOAT_WORD(t, is & 0xffff8000);
256 else 256 u = t * lg2_h;
257 SET_FLOAT_WORD(z, j); 257 v = (p_l - (t - p_h)) * lg2 + t * lg2_l;
258 return sn*z; 258 z = u + v;
259 w = v - (z - u);
260 t = z * z;
261 t1 = z - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5))));
262 r = (z * t1) / (t1 - 2.0f) - (w + z * w);
263 z = 1.0f - (r - z);
264 GET_FLOAT_WORD(j, z);
265 j += n << 23;
266 if ((j >> 23) <= 0) /* subnormal output */
267 z = scalbnf(z, n);
268 else
269 SET_FLOAT_WORD(z, j);
270 return sn * z;
259 } 271 }
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