Mercurial > sdl-ios-xcode
comparison src/video/e_pow.h @ 1662:782fd950bd46 SDL-1.3
Revamp of the video system in progress - adding support for multiple displays, multiple windows, and a full video mode selection API.
WARNING: None of the video drivers have been updated for the new API yet! The API is still under design and very fluid.
The code is now run through a consistent indent format:
indent -i4 -nut -nsc -br -ce
The headers are being converted to automatically generate doxygen documentation.
author | Sam Lantinga <slouken@libsdl.org> |
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date | Sun, 28 May 2006 13:04:16 +0000 |
parents | 7a610f25c12f |
children | 4da1ee79c9af |
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1661:281d3f4870e5 | 1662:782fd950bd46 |
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65 #ifdef __STDC__ | 65 #ifdef __STDC__ |
66 static const double | 66 static const double |
67 #else | 67 #else |
68 static double | 68 static double |
69 #endif | 69 #endif |
70 bp[] = {1.0, 1.5,}, | 70 bp[] = { 1.0, 1.5, }, dp_h[] = { |
71 dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */ | 71 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */ |
72 dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */ | 72 |
73 /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */ | 73 dp_l[] = { |
74 L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */ | 74 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */ |
75 L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */ | 75 |
76 L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */ | 76 /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */ |
77 L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */ | 77 L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */ |
78 L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */ | 78 L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */ |
79 L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */ | 79 L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */ |
80 P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ | 80 L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */ |
81 P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ | 81 L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */ |
82 P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ | 82 L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */ |
83 P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ | 83 P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */ |
84 P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ | 84 P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */ |
85 lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ | 85 P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */ |
86 lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */ | 86 P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */ |
87 lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */ | 87 P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */ |
88 ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */ | 88 lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ |
89 cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */ | 89 lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */ |
90 cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */ | 90 lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */ |
91 cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/ | 91 ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */ |
92 ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */ | 92 cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */ |
93 ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/ | 93 cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */ |
94 ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/ | 94 cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h */ |
95 ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */ | |
96 ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2 */ | |
97 ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail */ | |
95 | 98 |
96 #ifdef __STDC__ | 99 #ifdef __STDC__ |
97 double __ieee754_pow(double x, double y) | 100 double |
101 __ieee754_pow (double x, double y) | |
98 #else | 102 #else |
99 double __ieee754_pow(x,y) | 103 double |
100 double x, y; | 104 __ieee754_pow (x, y) |
105 double x, y; | |
101 #endif | 106 #endif |
102 { | 107 { |
103 double z,ax,z_h,z_l,p_h,p_l; | 108 double z, ax, z_h, z_l, p_h, p_l; |
104 double y1,t1,t2,r,s,t,u,v,w; | 109 double y1, t1, t2, r, s, t, u, v, w; |
105 int32_t i,j,k,yisint,n; | 110 int32_t i, j, k, yisint, n; |
106 int32_t hx,hy,ix,iy; | 111 int32_t hx, hy, ix, iy; |
107 u_int32_t lx,ly; | 112 u_int32_t lx, ly; |
108 | 113 |
109 EXTRACT_WORDS(hx,lx,x); | 114 EXTRACT_WORDS (hx, lx, x); |
110 EXTRACT_WORDS(hy,ly,y); | 115 EXTRACT_WORDS (hy, ly, y); |
111 ix = hx&0x7fffffff; iy = hy&0x7fffffff; | 116 ix = hx & 0x7fffffff; |
117 iy = hy & 0x7fffffff; | |
112 | 118 |
113 /* y==zero: x**0 = 1 */ | 119 /* y==zero: x**0 = 1 */ |
114 if((iy|ly)==0) return one; | 120 if ((iy | ly) == 0) |
121 return one; | |
115 | 122 |
116 /* +-NaN return x+y */ | 123 /* +-NaN return x+y */ |
117 if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) || | 124 if (ix > 0x7ff00000 || ((ix == 0x7ff00000) && (lx != 0)) || |
118 iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0))) | 125 iy > 0x7ff00000 || ((iy == 0x7ff00000) && (ly != 0))) |
119 return x+y; | 126 return x + y; |
120 | 127 |
121 /* determine if y is an odd int when x < 0 | 128 /* determine if y is an odd int when x < 0 |
122 * yisint = 0 ... y is not an integer | 129 * yisint = 0 ... y is not an integer |
123 * yisint = 1 ... y is an odd int | 130 * yisint = 1 ... y is an odd int |
124 * yisint = 2 ... y is an even int | 131 * yisint = 2 ... y is an even int |
125 */ | 132 */ |
126 yisint = 0; | 133 yisint = 0; |
127 if(hx<0) { | 134 if (hx < 0) { |
128 if(iy>=0x43400000) yisint = 2; /* even integer y */ | 135 if (iy >= 0x43400000) |
129 else if(iy>=0x3ff00000) { | 136 yisint = 2; /* even integer y */ |
130 k = (iy>>20)-0x3ff; /* exponent */ | 137 else if (iy >= 0x3ff00000) { |
131 if(k>20) { | 138 k = (iy >> 20) - 0x3ff; /* exponent */ |
132 j = ly>>(52-k); | 139 if (k > 20) { |
133 if((u_int32_t)(j<<(52-k))==ly) yisint = 2-(j&1); | 140 j = ly >> (52 - k); |
134 } else if(ly==0) { | 141 if ((u_int32_t) (j << (52 - k)) == ly) |
135 j = iy>>(20-k); | 142 yisint = 2 - (j & 1); |
136 if((j<<(20-k))==iy) yisint = 2-(j&1); | 143 } else if (ly == 0) { |
137 } | 144 j = iy >> (20 - k); |
138 } | 145 if ((j << (20 - k)) == iy) |
139 } | 146 yisint = 2 - (j & 1); |
147 } | |
148 } | |
149 } | |
140 | 150 |
141 /* special value of y */ | 151 /* special value of y */ |
142 if(ly==0) { | 152 if (ly == 0) { |
143 if (iy==0x7ff00000) { /* y is +-inf */ | 153 if (iy == 0x7ff00000) { /* y is +-inf */ |
144 if(((ix-0x3ff00000)|lx)==0) | 154 if (((ix - 0x3ff00000) | lx) == 0) |
145 return y - y; /* inf**+-1 is NaN */ | 155 return y - y; /* inf**+-1 is NaN */ |
146 else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */ | 156 else if (ix >= 0x3ff00000) /* (|x|>1)**+-inf = inf,0 */ |
147 return (hy>=0)? y: zero; | 157 return (hy >= 0) ? y : zero; |
148 else /* (|x|<1)**-,+inf = inf,0 */ | 158 else /* (|x|<1)**-,+inf = inf,0 */ |
149 return (hy<0)?-y: zero; | 159 return (hy < 0) ? -y : zero; |
150 } | 160 } |
151 if(iy==0x3ff00000) { /* y is +-1 */ | 161 if (iy == 0x3ff00000) { /* y is +-1 */ |
152 if(hy<0) return one/x; else return x; | 162 if (hy < 0) |
153 } | 163 return one / x; |
154 if(hy==0x40000000) return x*x; /* y is 2 */ | 164 else |
155 if(hy==0x3fe00000) { /* y is 0.5 */ | 165 return x; |
156 if(hx>=0) /* x >= +0 */ | 166 } |
157 return __ieee754_sqrt(x); | 167 if (hy == 0x40000000) |
158 } | 168 return x * x; /* y is 2 */ |
159 } | 169 if (hy == 0x3fe00000) { /* y is 0.5 */ |
160 | 170 if (hx >= 0) /* x >= +0 */ |
161 ax = x < 0 ? -x : x; /*fabs(x);*/ | 171 return __ieee754_sqrt (x); |
172 } | |
173 } | |
174 | |
175 ax = x < 0 ? -x : x; /*fabs(x); */ | |
162 /* special value of x */ | 176 /* special value of x */ |
163 if(lx==0) { | 177 if (lx == 0) { |
164 if(ix==0x7ff00000||ix==0||ix==0x3ff00000){ | 178 if (ix == 0x7ff00000 || ix == 0 || ix == 0x3ff00000) { |
165 z = ax; /*x is +-0,+-inf,+-1*/ | 179 z = ax; /*x is +-0,+-inf,+-1 */ |
166 if(hy<0) z = one/z; /* z = (1/|x|) */ | 180 if (hy < 0) |
167 if(hx<0) { | 181 z = one / z; /* z = (1/|x|) */ |
168 if(((ix-0x3ff00000)|yisint)==0) { | 182 if (hx < 0) { |
169 z = (z-z)/(z-z); /* (-1)**non-int is NaN */ | 183 if (((ix - 0x3ff00000) | yisint) == 0) { |
170 } else if(yisint==1) | 184 z = (z - z) / (z - z); /* (-1)**non-int is NaN */ |
171 z = -z; /* (x<0)**odd = -(|x|**odd) */ | 185 } else if (yisint == 1) |
172 } | 186 z = -z; /* (x<0)**odd = -(|x|**odd) */ |
173 return z; | 187 } |
174 } | 188 return z; |
175 } | 189 } |
190 } | |
176 | 191 |
177 /* (x<0)**(non-int) is NaN */ | 192 /* (x<0)**(non-int) is NaN */ |
178 if(((((u_int32_t)hx>>31)-1)|yisint)==0) return (x-x)/(x-x); | 193 if (((((u_int32_t) hx >> 31) - 1) | yisint) == 0) |
194 return (x - x) / (x - x); | |
179 | 195 |
180 /* |y| is huge */ | 196 /* |y| is huge */ |
181 if(iy>0x41e00000) { /* if |y| > 2**31 */ | 197 if (iy > 0x41e00000) { /* if |y| > 2**31 */ |
182 if(iy>0x43f00000){ /* if |y| > 2**64, must o/uflow */ | 198 if (iy > 0x43f00000) { /* if |y| > 2**64, must o/uflow */ |
183 if(ix<=0x3fefffff) return (hy<0)? huge*huge:tiny*tiny; | 199 if (ix <= 0x3fefffff) |
184 if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny; | 200 return (hy < 0) ? huge * huge : tiny * tiny; |
185 } | 201 if (ix >= 0x3ff00000) |
186 /* over/underflow if x is not close to one */ | 202 return (hy > 0) ? huge * huge : tiny * tiny; |
187 if(ix<0x3fefffff) return (hy<0)? huge*huge:tiny*tiny; | 203 } |
188 if(ix>0x3ff00000) return (hy>0)? huge*huge:tiny*tiny; | 204 /* over/underflow if x is not close to one */ |
189 /* now |1-x| is tiny <= 2**-20, suffice to compute | 205 if (ix < 0x3fefffff) |
190 log(x) by x-x^2/2+x^3/3-x^4/4 */ | 206 return (hy < 0) ? huge * huge : tiny * tiny; |
191 t = x-1; /* t has 20 trailing zeros */ | 207 if (ix > 0x3ff00000) |
192 w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25)); | 208 return (hy > 0) ? huge * huge : tiny * tiny; |
193 u = ivln2_h*t; /* ivln2_h has 21 sig. bits */ | 209 /* now |1-x| is tiny <= 2**-20, suffice to compute |
194 v = t*ivln2_l-w*ivln2; | 210 log(x) by x-x^2/2+x^3/3-x^4/4 */ |
195 t1 = u+v; | 211 t = x - 1; /* t has 20 trailing zeros */ |
196 SET_LOW_WORD(t1,0); | 212 w = (t * t) * (0.5 - t * (0.3333333333333333333333 - t * 0.25)); |
197 t2 = v-(t1-u); | 213 u = ivln2_h * t; /* ivln2_h has 21 sig. bits */ |
198 } else { | 214 v = t * ivln2_l - w * ivln2; |
199 double s2,s_h,s_l,t_h,t_l; | 215 t1 = u + v; |
200 n = 0; | 216 SET_LOW_WORD (t1, 0); |
201 /* take care subnormal number */ | 217 t2 = v - (t1 - u); |
202 if(ix<0x00100000) | 218 } else { |
203 {ax *= two53; n -= 53; GET_HIGH_WORD(ix,ax); } | 219 double s2, s_h, s_l, t_h, t_l; |
204 n += ((ix)>>20)-0x3ff; | 220 n = 0; |
205 j = ix&0x000fffff; | 221 /* take care subnormal number */ |
206 /* determine interval */ | 222 if (ix < 0x00100000) { |
207 ix = j|0x3ff00000; /* normalize ix */ | 223 ax *= two53; |
208 if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */ | 224 n -= 53; |
209 else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */ | 225 GET_HIGH_WORD (ix, ax); |
210 else {k=0;n+=1;ix -= 0x00100000;} | 226 } |
211 SET_HIGH_WORD(ax,ix); | 227 n += ((ix) >> 20) - 0x3ff; |
212 | 228 j = ix & 0x000fffff; |
213 /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */ | 229 /* determine interval */ |
214 u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */ | 230 ix = j | 0x3ff00000; /* normalize ix */ |
215 v = one/(ax+bp[k]); | 231 if (j <= 0x3988E) |
216 s = u*v; | 232 k = 0; /* |x|<sqrt(3/2) */ |
217 s_h = s; | 233 else if (j < 0xBB67A) |
218 SET_LOW_WORD(s_h,0); | 234 k = 1; /* |x|<sqrt(3) */ |
219 /* t_h=ax+bp[k] High */ | 235 else { |
220 t_h = zero; | 236 k = 0; |
221 SET_HIGH_WORD(t_h,((ix>>1)|0x20000000)+0x00080000+(k<<18)); | 237 n += 1; |
222 t_l = ax - (t_h-bp[k]); | 238 ix -= 0x00100000; |
223 s_l = v*((u-s_h*t_h)-s_h*t_l); | 239 } |
224 /* compute log(ax) */ | 240 SET_HIGH_WORD (ax, ix); |
225 s2 = s*s; | 241 |
226 r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6))))); | 242 /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */ |
227 r += s_l*(s_h+s); | 243 u = ax - bp[k]; /* bp[0]=1.0, bp[1]=1.5 */ |
228 s2 = s_h*s_h; | 244 v = one / (ax + bp[k]); |
229 t_h = 3.0+s2+r; | 245 s = u * v; |
230 SET_LOW_WORD(t_h,0); | 246 s_h = s; |
231 t_l = r-((t_h-3.0)-s2); | 247 SET_LOW_WORD (s_h, 0); |
232 /* u+v = s*(1+...) */ | 248 /* t_h=ax+bp[k] High */ |
233 u = s_h*t_h; | 249 t_h = zero; |
234 v = s_l*t_h+t_l*s; | 250 SET_HIGH_WORD (t_h, |
235 /* 2/(3log2)*(s+...) */ | 251 ((ix >> 1) | 0x20000000) + 0x00080000 + (k << 18)); |
236 p_h = u+v; | 252 t_l = ax - (t_h - bp[k]); |
237 SET_LOW_WORD(p_h,0); | 253 s_l = v * ((u - s_h * t_h) - s_h * t_l); |
238 p_l = v-(p_h-u); | 254 /* compute log(ax) */ |
239 z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */ | 255 s2 = s * s; |
240 z_l = cp_l*p_h+p_l*cp+dp_l[k]; | 256 r = s2 * s2 * (L1 + |
241 /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */ | 257 s2 * (L2 + |
242 t = (double)n; | 258 s2 * (L3 + s2 * (L4 + s2 * (L5 + s2 * L6))))); |
243 t1 = (((z_h+z_l)+dp_h[k])+t); | 259 r += s_l * (s_h + s); |
244 SET_LOW_WORD(t1,0); | 260 s2 = s_h * s_h; |
245 t2 = z_l-(((t1-t)-dp_h[k])-z_h); | 261 t_h = 3.0 + s2 + r; |
246 } | 262 SET_LOW_WORD (t_h, 0); |
247 | 263 t_l = r - ((t_h - 3.0) - s2); |
248 s = one; /* s (sign of result -ve**odd) = -1 else = 1 */ | 264 /* u+v = s*(1+...) */ |
249 if(((((u_int32_t)hx>>31)-1)|(yisint-1))==0) | 265 u = s_h * t_h; |
250 s = -one;/* (-ve)**(odd int) */ | 266 v = s_l * t_h + t_l * s; |
267 /* 2/(3log2)*(s+...) */ | |
268 p_h = u + v; | |
269 SET_LOW_WORD (p_h, 0); | |
270 p_l = v - (p_h - u); | |
271 z_h = cp_h * p_h; /* cp_h+cp_l = 2/(3*log2) */ | |
272 z_l = cp_l * p_h + p_l * cp + dp_l[k]; | |
273 /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */ | |
274 t = (double) n; | |
275 t1 = (((z_h + z_l) + dp_h[k]) + t); | |
276 SET_LOW_WORD (t1, 0); | |
277 t2 = z_l - (((t1 - t) - dp_h[k]) - z_h); | |
278 } | |
279 | |
280 s = one; /* s (sign of result -ve**odd) = -1 else = 1 */ | |
281 if (((((u_int32_t) hx >> 31) - 1) | (yisint - 1)) == 0) | |
282 s = -one; /* (-ve)**(odd int) */ | |
251 | 283 |
252 /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ | 284 /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */ |
253 y1 = y; | 285 y1 = y; |
254 SET_LOW_WORD(y1,0); | 286 SET_LOW_WORD (y1, 0); |
255 p_l = (y-y1)*t1+y*t2; | 287 p_l = (y - y1) * t1 + y * t2; |
256 p_h = y1*t1; | 288 p_h = y1 * t1; |
257 z = p_l+p_h; | 289 z = p_l + p_h; |
258 EXTRACT_WORDS(j,i,z); | 290 EXTRACT_WORDS (j, i, z); |
259 if (j>=0x40900000) { /* z >= 1024 */ | 291 if (j >= 0x40900000) { /* z >= 1024 */ |
260 if(((j-0x40900000)|i)!=0) /* if z > 1024 */ | 292 if (((j - 0x40900000) | i) != 0) /* if z > 1024 */ |
261 return s*huge*huge; /* overflow */ | 293 return s * huge * huge; /* overflow */ |
262 else { | 294 else { |
263 if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */ | 295 if (p_l + ovt > z - p_h) |
264 } | 296 return s * huge * huge; /* overflow */ |
265 } else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */ | 297 } |
266 if(((j-0xc090cc00)|i)!=0) /* z < -1075 */ | 298 } else if ((j & 0x7fffffff) >= 0x4090cc00) { /* z <= -1075 */ |
267 return s*tiny*tiny; /* underflow */ | 299 if (((j - 0xc090cc00) | i) != 0) /* z < -1075 */ |
268 else { | 300 return s * tiny * tiny; /* underflow */ |
269 if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */ | 301 else { |
270 } | 302 if (p_l <= z - p_h) |
271 } | 303 return s * tiny * tiny; /* underflow */ |
304 } | |
305 } | |
272 /* | 306 /* |
273 * compute 2**(p_h+p_l) | 307 * compute 2**(p_h+p_l) |
274 */ | 308 */ |
275 i = j&0x7fffffff; | 309 i = j & 0x7fffffff; |
276 k = (i>>20)-0x3ff; | 310 k = (i >> 20) - 0x3ff; |
277 n = 0; | 311 n = 0; |
278 if(i>0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */ | 312 if (i > 0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */ |
279 n = j+(0x00100000>>(k+1)); | 313 n = j + (0x00100000 >> (k + 1)); |
280 k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */ | 314 k = ((n & 0x7fffffff) >> 20) - 0x3ff; /* new k for n */ |
281 t = zero; | 315 t = zero; |
282 SET_HIGH_WORD(t,n&~(0x000fffff>>k)); | 316 SET_HIGH_WORD (t, n & ~(0x000fffff >> k)); |
283 n = ((n&0x000fffff)|0x00100000)>>(20-k); | 317 n = ((n & 0x000fffff) | 0x00100000) >> (20 - k); |
284 if(j<0) n = -n; | 318 if (j < 0) |
285 p_h -= t; | 319 n = -n; |
286 } | 320 p_h -= t; |
287 t = p_l+p_h; | 321 } |
288 SET_LOW_WORD(t,0); | 322 t = p_l + p_h; |
289 u = t*lg2_h; | 323 SET_LOW_WORD (t, 0); |
290 v = (p_l-(t-p_h))*lg2+t*lg2_l; | 324 u = t * lg2_h; |
291 z = u+v; | 325 v = (p_l - (t - p_h)) * lg2 + t * lg2_l; |
292 w = v-(z-u); | 326 z = u + v; |
293 t = z*z; | 327 w = v - (z - u); |
294 t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); | 328 t = z * z; |
295 r = (z*t1)/(t1-two)-(w+z*w); | 329 t1 = z - t * (P1 + t * (P2 + t * (P3 + t * (P4 + t * P5)))); |
296 z = one-(r-z); | 330 r = (z * t1) / (t1 - two) - (w + z * w); |
297 GET_HIGH_WORD(j,z); | 331 z = one - (r - z); |
298 j += (n<<20); | 332 GET_HIGH_WORD (j, z); |
299 if((j>>20)<=0) z = SDL_NAME(scalbn)(z,n); /* subnormal output */ | 333 j += (n << 20); |
300 else SET_HIGH_WORD(z,j); | 334 if ((j >> 20) <= 0) |
301 return s*z; | 335 z = SDL_NAME (scalbn) (z, n); /* subnormal output */ |
336 else | |
337 SET_HIGH_WORD (z, j); | |
338 return s * z; | |
302 } | 339 } |
340 | |
341 /* vi: set ts=4 sw=4 expandtab: */ |