1 /*
2 * CDDL HEADER START
3 *
4 * The contents of this file are subject to the terms of the
5 * Common Development and Distribution License (the "License").
6 * You may not use this file except in compliance with the License.
7 *
8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9 * or http://www.opensolaris.org/os/licensing.
10 * See the License for the specific language governing permissions
11 * and limitations under the License.
12 *
13 * When distributing Covered Code, include this CDDL HEADER in each
14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15 * If applicable, add the following below this CDDL HEADER, with the
16 * fields enclosed by brackets "[]" replaced with your own identifying
17 * information: Portions Copyright [yyyy] [name of copyright owner]
18 *
19 * CDDL HEADER END
20 */
21 /*
22 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
23 */
24 /*
25 * Copyright 2005 Sun Microsystems, Inc. All rights reserved.
26 * Use is subject to license terms.
27 */
28
29 /*
30 * __vlog: double precision vector log
31 *
32 * Algorithm:
33 *
34 * Write x = 2^n z where 1 - 2^-10 <= z < 2 - 2^-9. Let m = z
35 * rounded to nine significant bits, so m = 1 + 2^-8 k, where
36 * 0 <= k <= 255. Let d = z - m. Then
37 *
38 * log(x) = n log(2) + log(m) + log(1+(d/m))
39 *
40 * Let ln2hi = log(2) rounded to a multiple of 2^-42 and ln2lo
41 * ~ log(2) - ln2hi. From a table, obtain mh and ml such that
42 * mh = log(m) rounded to a multiple of 2^-42 and ml ~ log(m) -
43 * mh. From the same table, obtain rh and rl such that rh = 1/m
44 * rounded to a multiple of 2^-10 and rl ~ 1/m - rh. For |y| <=
45 * 2^-9, approximate log(1+y) by a polynomial y+p(y) where p(y)
46 * := y*y*(-1/2+y*(P3+y*(P4+y*(P5+y*P6)))). Now letting s =
47 * d*rh + d*rl in double precision, we can compute the sum above
48 * accurately as
49 *
50 * (n*ln2hi + mh) + (d*rh + (d*rl + (n*ln2lo + ml) + p(s)))
51 *
52 * When x is subnormal, we first scale it to the normal range,
53 * adjusting n accordingly.
54 *
55 * Accuracy:
56 *
57 * The largest error observed is less than 0.8 ulps.
58 */
59
60 #include <sys/isa_defs.h>
61
62 #ifdef _LITTLE_ENDIAN
63 #define HI(x) *(1+(int *)&x)
64 #define LO(x) *(unsigned *)&x
65 #define HIWORD 1
66 #define LOWORD 0
67 #else
68 #define HI(x) *(int *)&x
69 #define LO(x) *(1+(unsigned *)&x)
70 #define HIWORD 0
71 #define LOWORD 1
72 #endif
73
74 #ifdef __RESTRICT
75 #define restrict _Restrict
76 #else
77 #define restrict
78 #endif
79
80 static const double TBL[] = {
81 1.00000000000000000000e+00, 0.00000000000000000000e+00,
82 0.00000000000000000000e+00, 0.00000000000000000000e+00,
83 9.96093750000000000000e-01, 1.51994163424124515728e-05,
84 3.89864041562759666704e-03, 2.97263469009289512726e-14,
85 9.92187500000000000000e-01, 6.05620155038759681518e-05,
86 7.78214044203195953742e-03, 2.29894100462035112076e-14,
87 9.88281250000000000000e-01, 1.35738416988416988208e-04,
88 1.16506172200843138853e-02, -1.09039749717359319029e-13,
89 9.84375000000000000000e-01, 2.40384615384615397959e-04,
90 1.55041865359635266941e-02, 1.72745674997061065553e-15,
91 9.80468750000000000000e-01, 3.74161877394636028203e-04,
92 1.93429628432113531744e-02, -8.04185385052258635682e-14,
93 9.77539062500000000000e-01, -4.39825858778625927714e-04,
94 2.31670592816044518258e-02, -7.00735970431003565857e-14,
95 9.73632812500000000000e-01, -2.48782081749049442231e-04,
96 2.69765876983001362532e-02, -9.80605051684317662887e-14,
97 9.69726562500000000000e-01, -2.95928030303030311244e-05,
98 3.07716586667083902285e-02, 4.52981425779092882775e-14,
99 9.65820312500000000000e-01, 2.17423349056603779517e-04,
100 3.45523815067281248048e-02, -6.83913974232877736961e-14,
101 9.62890625000000000000e-01, -4.84609962406015010693e-04,
102 3.83188643020275776507e-02, 1.09021543022033016421e-13,
103 9.58984375000000000000e-01, -1.82876872659176042957e-04,
104 4.20712139207353175152e-02, -4.82631400055112824008e-14,
105 9.55078125000000000000e-01, 1.45755597014925360189e-04,
106 4.58095360313564015087e-02, -6.21983419947579227529e-14,
107 9.52148437500000000000e-01, -4.75575046468401500289e-04,
108 4.95339351223265111912e-02, -4.98803091079814255646e-14,
109 9.48242187500000000000e-01, -9.40393518518518520526e-05,
110 5.32445145188376045553e-02, -2.53216894311744497863e-14,
111 9.44335937500000000000e-01, 3.13508994464944631443e-04,
112 5.69413764001183153596e-02, 2.01093994355649575698e-14,
113 9.41406250000000000000e-01, -2.29779411764705879164e-04,
114 6.06246218164869787870e-02, -5.21362063913650408235e-14,
115 9.37500000000000000000e-01, 2.28937728937728937530e-04,
116 6.42943507054951624013e-02, -9.79051851199021608925e-14,
117 9.34570312500000000000e-01, -2.63743156934306572509e-04,
118 6.79506619085259444546e-02, -1.81950600301688149235e-14,
119 9.30664062500000000000e-01, 2.45028409090909096626e-04,
120 7.15936531869374448434e-02, 7.13730822534317801406e-14,
121 9.27734375000000000000e-01, -1.98143115942028998078e-04,
122 7.52234212375242350390e-02, 6.32906595872454402199e-14,
123 9.23828125000000000000e-01, 3.59600631768953083074e-04,
124 7.88400617077513743425e-02, 2.46501890617661192316e-14,
125 9.20898437500000000000e-01, -3.51281474820143869292e-05,
126 8.24436692109884461388e-02, 8.61451293608781447223e-14,
127 9.17968750000000000000e-01, -4.06025985663082419983e-04,
128 8.60343373417435941519e-02, 5.95592298762564263463e-14,
129 9.14062500000000000000e-01, 2.23214285714285707316e-04,
130 8.96121586897606903221e-02, -7.35577021943502867846e-14,
131 9.11132812500000000000e-01, -1.00784030249110321056e-04,
132 9.31772248541165026836e-02, 6.67870851716289831942e-14,
133 9.08203125000000000000e-01, -4.01706560283687926730e-04,
134 9.67296264584547316190e-02, 9.63806765855227740728e-14,
135 9.04296875000000000000e-01, 2.96764575971731443208e-04,
136 1.00269453163718935684e-01, -4.37863761707839790971e-14,
137 9.01367187500000000000e-01, 4.12632042253521119125e-05,
138 1.03796793681567578460e-01, 7.59863659719414144342e-14,
139 8.98437500000000000000e-01, -1.91885964912280701945e-04,
140 1.07311735789153317455e-01, -6.52667880273107116669e-14,
141 8.95507812500000000000e-01, -4.02917395104895122333e-04,
142 1.10814366340264314204e-01, 2.57999912830699022513e-14,
143 8.91601562500000000000e-01, 3.84500217770034828473e-04,
144 1.14304771280103523168e-01, -4.48895335223869926230e-14,
145 8.88671875000000000000e-01, 2.17013888888888876842e-04,
146 1.17783035656430001836e-01, -4.65472974759844472568e-14,
147 8.85742187500000000000e-01, 7.09612889273356431397e-05,
148 1.21249243632973957574e-01, -1.04272412782730081647e-13,
149 8.82812500000000000000e-01, -5.38793103448275854592e-05,
150 1.24703478501032805070e-01, -7.55692068745133691756e-14,
151 8.79882812500000000000e-01, -1.57726589347079046649e-04,
152 1.28145822691976718488e-01, -4.66803140394579609437e-14,
153 8.76953125000000000000e-01, -2.40796232876712315400e-04,
154 1.31576357788617315236e-01, 1.01957352237084734958e-13,
155 8.74023437500000000000e-01, -3.03300981228668954746e-04,
156 1.34995164537485834444e-01, 1.89961580415787680134e-14,
157 8.71093750000000000000e-01, -3.45450680272108847594e-04,
158 1.38402322859064952354e-01, 5.41833313790089940464e-14,
159 8.68164062500000000000e-01, -3.67452330508474583805e-04,
160 1.41797911860294334474e-01, -3.69845950669709681858e-14,
161 8.65234375000000000000e-01, -3.69510135135135155647e-04,
162 1.45182009844575077295e-01, -7.71800133682809851086e-14,
163 8.62304687500000000000e-01, -3.51825547138047162871e-04,
164 1.48554694323138392065e-01, -1.24915489807515996540e-15,
165 8.59375000000000000000e-01, -3.14597315436241590364e-04,
166 1.51916042025732167531e-01, 1.09807540998552379211e-13,
167 8.56445312500000000000e-01, -2.58021530100334438914e-04,
168 1.55266128911080159014e-01, 4.37925082924060541938e-14,
169 8.53515625000000000000e-01, -1.82291666666666674979e-04,
170 1.58605030176659056451e-01, -2.04723578004619553937e-14,
171 8.50585937500000000000e-01, -8.75986295681063168849e-05,
172 1.61932820269385047141e-01, -7.17939001929567730476e-14,
173 8.47656250000000000000e-01, 2.58692052980132450107e-05,
174 1.65249572895390883787e-01, -8.37209109923591205585e-14,
175 8.44726562500000000000e-01, 1.57925948844884475120e-04,
176 1.68555361029802952544e-01, 3.71439775417047191367e-15,
177 8.41796875000000000000e-01, 3.08388157894736824986e-04,
178 1.71850256926745714736e-01, -8.64923960721207091374e-14,
179 8.38867187500000000000e-01, 4.77074795081967189831e-04,
180 1.75134332127754532848e-01, 9.46151658066508147714e-14,
181 8.36914062500000000000e-01, -3.12755310457516312941e-04,
182 1.78407657472916980623e-01, -9.86835038673494943912e-14,
183 8.33984375000000000000e-01, -1.08153501628664488934e-04,
184 1.81670303107694053324e-01, -5.93750633338470149673e-14,
185 8.31054687500000000000e-01, 1.14143668831168828529e-04,
186 1.84922338494061477832e-01, -4.94851676612509959777e-14,
187 8.28125000000000000000e-01, 3.53964401294498405386e-04,
188 1.88163832418240417610e-01, -5.74307839320075599347e-14,
189 8.26171875000000000000e-01, -3.65423387096774205090e-04,
190 1.91394852999565046048e-01, 6.44085615069689207389e-14,
191 8.23242187500000000000e-01, -9.10620980707395479654e-05,
192 1.94615467699577493477e-01, 9.41653814571825038763e-14,
193 8.20312500000000000000e-01, 2.00320512820512813563e-04,
194 1.97825743329985925811e-01, -6.60454487708238395939e-14,
195 8.18359375000000000000e-01, -4.68001198083067100272e-04,
196 2.01025746060622623190e-01, -3.18818493754377370219e-14,
197 8.15429687500000000000e-01, -1.43063296178343944383e-04,
198 2.04215541428766300669e-01, -7.54091651195618882501e-14,
199 8.12500000000000000000e-01, 1.98412698412698412526e-04,
200 2.07395194345963318483e-01, 1.07268675772897325437e-13,
201 8.10546875000000000000e-01, -4.20292721518987358927e-04,
202 2.10564769107350002741e-01, -3.65071888317905767114e-16,
203 8.07617187500000000000e-01, -4.62095820189274421015e-05,
204 2.13724329397791734664e-01, -7.35958018644051430164e-14,
205 8.04687500000000000000e-01, 3.43946540880503122493e-04,
206 2.16873938300523150247e-01, 9.12093724991498410553e-14,
207 8.02734375000000000000e-01, -2.26538009404388704197e-04,
208 2.20013658305333592580e-01, -5.14966723414140783686e-14,
209 7.99804687500000000000e-01, 1.95312500000000010842e-04,
210 2.23143551314251453732e-01, -4.16979658452719528642e-14,
211 7.97851562500000000000e-01, -3.43774338006230513552e-04,
212 2.26263678650411748094e-01, 4.16412673028722634501e-14,
213 7.94921875000000000000e-01, 1.09180900621118015200e-04,
214 2.29374101064877322642e-01, -3.14926506519148377243e-14,
215 7.92968750000000000000e-01, -3.99090557275541795833e-04,
216 2.32474878743005319848e-01, 8.87450729797463158287e-14,
217 7.90039062500000000000e-01, 8.43942901234567854386e-05,
218 2.35566071312860003673e-01, -9.30945949519688945136e-14,
219 7.88085937500000000000e-01, -3.93629807692307670790e-04,
220 2.38647737850214980426e-01, -3.99705090953013414198e-14,
221 7.85156250000000000000e-01, 1.19823619631901839909e-04,
222 2.41719936887193398434e-01, -4.82302894299408858477e-14,
223 7.83203125000000000000e-01, -3.28507262996941896190e-04,
224 2.44782726417724916246e-01, -3.39998110836183310018e-14,
225 7.80273437500000000000e-01, 2.14367378048780488466e-04,
226 2.47836163904594286578e-01, -1.30297971733086634357e-14,
227 7.78320312500000000000e-01, -2.04810980243161095543e-04,
228 2.50880306285807819222e-01, 1.59736634636249040926e-15,
229 7.75390625000000000000e-01, 3.66950757575757553416e-04,
230 2.53915209980959843961e-01, 3.60017673263733462441e-15,
231 7.73437500000000000000e-01, -2.36027190332326283783e-05,
232 2.56940930897599173477e-01, -9.87480301596639169955e-14,
233 7.71484375000000000000e-01, -4.00037650602409625492e-04,
234 2.59957524436913445243e-01, 1.26217293988853160748e-14,
235 7.68554687500000000000e-01, 2.14081268768768768606e-04,
236 2.62965045500777705456e-01, 1.03646364598966627113e-13,
237 7.66601562500000000000e-01, -1.34496631736526949192e-04,
238 2.65963548497211377253e-01, -7.34359136986779711761e-14,
239 7.64648437500000000000e-01, -4.69333022388059722691e-04,
240 2.68953087345607855241e-01, -1.03896307840029875617e-13,
241 7.61718750000000000000e-01, 1.86011904761904751579e-04,
242 2.71933715483555715764e-01, 8.60430677280873279668e-14,
243 7.59765625000000000000e-01, -1.21708086053412463954e-04,
244 2.74905485872750432463e-01, 4.88167036467699861016e-14,
245 7.57812500000000000000e-01, -4.16050295857988176266e-04,
246 2.77868451003541849786e-01, -8.55436000656632193091e-14,
247 7.54882812500000000000e-01, 2.79429387905604702334e-04,
248 2.80822662900845898548e-01, 4.18860913786370112029e-14,
249 7.52929687500000000000e-01, 1.14889705882352939582e-05,
250 2.83768173130738432519e-01, -9.38341722366369999987e-14,
251 7.50976562500000000000e-01, -2.43424670087976540225e-04,
252 2.86705032803865833557e-01, 8.84810960400682115458e-14,
253 7.49023437500000000000e-01, -4.85425804093567224515e-04,
254 2.89633292582948342897e-01, 9.43339818951269030846e-14,
255 7.46093750000000000000e-01, 2.61935131195335281235e-04,
256 2.92553002686418039957e-01, -4.05999788601512838979e-14,
257 7.44140625000000000000e-01, 4.54215116279069761138e-05,
258 2.95464212893875810551e-01, -3.99341638438784391272e-14,
259 7.42187500000000000000e-01, -1.58514492753623176778e-04,
260 2.98366972551775688771e-01, 2.15926937419734905112e-14,
261 7.40234375000000000000e-01, -3.49981936416184958877e-04,
262 3.01261330578199704178e-01, -3.79231648020931467980e-14,
263 7.37304687500000000000e-01, 4.47473883285302582568e-04,
264 3.04147335467405355303e-01, -1.08638286797079129552e-13,
265 7.35351562500000000000e-01, 2.80621408045976994047e-04,
266 3.07025035294827830512e-01, 8.40315630479242455758e-14,
267 7.33398437500000000000e-01, 1.25917800859598846179e-04,
268 3.09894477722764349892e-01, 1.00337969820392140548e-13,
269 7.31445312500000000000e-01, -1.67410714285714294039e-05,
270 3.12755710003784770379e-01, 1.12118007403609819830e-13,
271 7.29492187500000000000e-01, -1.47458155270655270810e-04,
272 3.15608778986415927648e-01, -1.12592746246808286851e-13,
273 7.27539062500000000000e-01, -2.66335227272727253015e-04,
274 3.18453731118552241242e-01, -1.76254313121726620573e-14,
275 7.25585937500000000000e-01, -3.73472910764872500361e-04,
276 3.21290612453822177486e-01, -8.78854276997154463823e-14,
277 7.23632812500000000000e-01, -4.68970692090395495540e-04,
278 3.24119468654316733591e-01, -1.04757500587765412913e-13,
279 7.20703125000000000000e-01, 4.23635563380281667846e-04,
280 3.26940344995819032192e-01, 3.42884001266694615699e-14,
281 7.18750000000000000000e-01, 3.51123595505617967782e-04,
282 3.29753286372579168528e-01, -1.11186713895593226425e-13,
283 7.16796875000000000000e-01, 2.89959733893557422817e-04,
284 3.32558337300042694551e-01, 3.39068613367222871432e-14,
285 7.14843750000000000000e-01, 2.40048882681564236573e-04,
286 3.35355541921217081835e-01, -7.92515783138655870267e-14,
287 7.12890625000000000000e-01, 2.01297005571030637044e-04,
288 3.38144944008718084660e-01, -1.68695012281303904492e-15,
289 7.10937500000000000000e-01, 1.73611111111111117737e-04,
290 3.40926586970681455568e-01, -8.82452633212564001210e-14,
291 7.08984375000000000000e-01, 1.56899238227146807121e-04,
292 3.43700513853264055797e-01, 5.43888832989906475149e-14,
293 7.07031250000000000000e-01, 1.51070441988950269954e-04,
294 3.46466767346100823488e-01, 1.07757430375726404546e-13,
295 7.05078125000000000000e-01, 1.56034779614325073201e-04,
296 3.49225389785260631470e-01, 2.76727112657366262202e-14,
297 7.03125000000000000000e-01, 1.71703296703296716700e-04,
298 3.51976423157111639739e-01, 6.65449164332479482515e-14,
299 7.01171875000000000000e-01, 1.97988013698630136838e-04,
300 3.54719909102868768969e-01, 6.02593863918127820941e-14,
301 6.99218750000000000000e-01, 2.34801912568306000561e-04,
302 3.57455888921776931966e-01, 2.68422602858563731995e-14,
303 6.97265625000000000000e-01, 2.82058923705722061539e-04,
304 3.60184403574976386153e-01, 3.14101284357935074430e-14,
305 6.95312500000000000000e-01, 3.39673913043478251442e-04,
306 3.62905493689368086052e-01, 3.67085697163493829481e-16,
307 6.93359375000000000000e-01, 4.07562669376693761502e-04,
308 3.65619199561024288414e-01, -5.95770946492931122703e-14,
309 6.91406250000000000000e-01, 4.85641891891891918850e-04,
310 3.68325561158599157352e-01, 1.08495696229679121506e-13,
311 6.90429687500000000000e-01, -4.02733322102425902751e-04,
312 3.71024618127876237850e-01, -3.57393774001043846673e-15,
313 6.88476562500000000000e-01, -3.04519489247311828540e-04,
314 3.73716409793587445165e-01, -3.36434401382552911606e-15,
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574 6.73422675212123067467e-01, 4.36528304869414810551e-14,
575 5.08789062500000000000e-01, 1.57259567594433401650e-04,
576 6.75412725620162746054e-01, 1.39850267837821649808e-14,
577 5.07812500000000000000e-01, 1.24007936507936501053e-04,
578 6.77398823591829568613e-01, -2.34278036379790696248e-14,
579 5.06835937500000000000e-01, 9.47555693069306959140e-05,
580 6.79380984795898257289e-01, -1.00907141981183426552e-13,
581 5.05859375000000000000e-01, 6.94787549407114679145e-05,
582 6.81359224807920327294e-01, -1.72583456150091690167e-14,
583 5.04882812500000000000e-01, 4.81539694280078915244e-05,
584 6.83333559111588328960e-01, 3.23592040115024425781e-14,
585 5.03906250000000000000e-01, 3.07578740157480310692e-05,
586 6.85304003098963221419e-01, -4.38048746232309815355e-14,
587 5.02929687500000000000e-01, 1.72673133595284864178e-05,
588 6.87270572070929119946e-01, 3.11475515031130920163e-14,
589 5.01953125000000000000e-01, 7.65931372549019597214e-06,
590 6.89233281238784911693e-01, 2.40686318405286681994e-14,
591 5.00976562500000000000e-01, 1.91108121330724059841e-06,
592 6.91192145724244255689e-01, -1.02296829368141946888e-13,
593 };
594
595 static const double C[] = {
596 6.93147180559890330187e-01,
597 5.49792301870837115524e-14,
598 -0.5,
599 3.33333333332438282293284931714682042701467889609e-0001,
600 -2.49999999998669026809069285994497705748522309858e-0001,
601 2.00000758613044543658508591796951886624273250472e-0001,
602 -1.66667492411916229281646821123333564982955309481e-0001,
603 4503599627370496.0,
604 0.0
605 };
606
607 #define ln2hi C[0]
608 #define ln2lo C[1]
609 #define mhalf C[2]
610 #define P3 C[3]
611 #define P4 C[4]
612 #define P5 C[5]
613 #define P6 C[6]
614 #define two52 C[7]
615 #define zero C[8]
616
617 #define PROCESS(N) \
618 i##N = (i##N + 0x800) & ~0xfff; \
619 e = (i##N & 0x7ff00000) - 0x3ff00000; \
620 z##N.i[HIWORD] -= e; \
621 w##N.i[HIWORD] = i##N - e; \
622 w##N.i[LOWORD] = 0; \
623 n##N += (e >> 20); \
624 i##N = (i##N >> 10) & 0x3fc; \
625 d##N = z##N.d - w##N.d; \
626 h##N = d##N * TBL[i##N]; \
627 l##N = d##N * TBL[i##N+1]; \
628 s##N = h##N + l##N; \
629 b##N = (s##N * s##N) * (mhalf + s##N * (P3 + s##N * (P4 + \
630 s##N * (P5 + s##N * P6)))); \
631 *y = (n##N * ln2hi + TBL[i##N+2]) + (h##N + (l##N + \
632 (n##N * ln2lo + TBL[i##N+3]) + b##N)); \
633 y += stridey
634
635 #define PREPROCESS(N, index, label) \
636 i##N = HI(*x); \
637 z##N.d = *x; \
638 x += stridex; \
639 n##N = 0; \
640 if ((i##N & 0x7ff00000) == 0x7ff00000) { /* inf or NaN */ \
641 y[index] = z##N.d * ((i##N < 0)? zero : z##N.d); \
642 goto label; \
643 } else if (i##N < 0x00100000) { /* subnormal, negative, zero */ \
644 if (((i##N << 1) | z##N.i[LOWORD]) == 0) { \
645 y[index] = mhalf / zero; \
646 goto label; \
647 } else if (i##N < 0) { \
648 y[index] = zero / zero; \
649 goto label; \
650 } \
651 z##N.d *= two52; \
652 n##N = -52; \
653 i##N = z##N.i[HIWORD]; \
654 }
655
656 void
657 __vlog(int n, double *restrict x, int stridex, double *restrict y,
658 int stridey)
659 {
660 union {
661 unsigned i[2];
662 double d;
663 } z0, z1, z2, z3, w0, w1, w2, w3;
664 double b0, b1, b2, b3;
665 double d0, d1, d2, d3;
666 double h0, h1, h2, h3;
667 double l0, l1, l2, l3;
668 double s0, s1, s2, s3;
669 int i0, i1, i2, i3, e;
670 int n0, n1, n2, n3;
671
672 w0.i[LOWORD] = 0;
673 w1.i[LOWORD] = 0;
674 w2.i[LOWORD] = 0;
675 w3.i[LOWORD] = 0;
676
677 y -= stridey;
678
679 for (;;) {
680 begin:
681 y += stridey;
682
683 if (--n < 0)
684 break;
685
686 PREPROCESS(0, 0, begin);
687
688 if (--n < 0)
689 goto process1;
690
691 PREPROCESS(1, stridey, process1);
692
693 if (--n < 0)
694 goto process2;
695
696 PREPROCESS(2, (stridey << 1), process2);
697
698 if (--n < 0)
699 goto process3;
700
701 PREPROCESS(3, (stridey << 1) + stridey, process3);
702
703 i0 = (i0 + 0x800) & ~0xfff;
704 e = (i0 & 0x7ff00000) - 0x3ff00000;
705 z0.i[HIWORD] -= e;
706 w0.i[HIWORD] = i0 - e;
707 n0 += (e >> 20);
708 i0 = (i0 >> 10) & 0x3fc;
709
710 i1 = (i1 + 0x800) & ~0xfff;
711 e = (i1 & 0x7ff00000) - 0x3ff00000;
712 z1.i[HIWORD] -= e;
713 w1.i[HIWORD] = i1 - e;
714 n1 += (e >> 20);
715 i1 = (i1 >> 10) & 0x3fc;
716
717 i2 = (i2 + 0x800) & ~0xfff;
718 e = (i2 & 0x7ff00000) - 0x3ff00000;
719 z2.i[HIWORD] -= e;
720 w2.i[HIWORD] = i2 - e;
721 n2 += (e >> 20);
722 i2 = (i2 >> 10) & 0x3fc;
723
724 i3 = (i3 + 0x800) & ~0xfff;
725 e = (i3 & 0x7ff00000) - 0x3ff00000;
726 z3.i[HIWORD] -= e;
727 w3.i[HIWORD] = i3 - e;
728 n3 += (e >> 20);
729 i3 = (i3 >> 10) & 0x3fc;
730
731 d0 = z0.d - w0.d;
732 d1 = z1.d - w1.d;
733 d2 = z2.d - w2.d;
734 d3 = z3.d - w3.d;
735
736 h0 = d0 * TBL[i0];
737 h1 = d1 * TBL[i1];
738 h2 = d2 * TBL[i2];
739 h3 = d3 * TBL[i3];
740
741 l0 = d0 * TBL[i0+1];
742 l1 = d1 * TBL[i1+1];
743 l2 = d2 * TBL[i2+1];
744 l3 = d3 * TBL[i3+1];
745
746 s0 = h0 + l0;
747 s1 = h1 + l1;
748 s2 = h2 + l2;
749 s3 = h3 + l3;
750
751 b0 = (s0 * s0) * (mhalf + s0 * (P3 + s0 * (P4 +
752 s0 * (P5 + s0 * P6))));
753 b1 = (s1 * s1) * (mhalf + s1 * (P3 + s1 * (P4 +
754 s1 * (P5 + s1 * P6))));
755 b2 = (s2 * s2) * (mhalf + s2 * (P3 + s2 * (P4 +
756 s2 * (P5 + s2 * P6))));
757 b3 = (s3 * s3) * (mhalf + s3 * (P3 + s3 * (P4 +
758 s3 * (P5 + s3 * P6))));
759
760 *y = (n0 * ln2hi + TBL[i0+2]) + (h0 + (l0 +
761 (n0 * ln2lo + TBL[i0+3]) + b0));
762 y += stridey;
763 *y = (n1 * ln2hi + TBL[i1+2]) + (h1 + (l1 +
764 (n1 * ln2lo + TBL[i1+3]) + b1));
765 y += stridey;
766 *y = (n2 * ln2hi + TBL[i2+2]) + (h2 + (l2 +
767 (n2 * ln2lo + TBL[i2+3]) + b2));
768 y += stridey;
769 *y = (n3 * ln2hi + TBL[i3+2]) + (h3 + (l3 +
770 (n3 * ln2lo + TBL[i3+3]) + b3));
771 continue;
772
773 process1:
774 PROCESS(0);
775 continue;
776
777 process2:
778 PROCESS(0);
779 PROCESS(1);
780 continue;
781
782 process3:
783 PROCESS(0);
784 PROCESS(1);
785 PROCESS(2);
786 }
787 }