1 #if defined(AIX) || defined(AMD64)
2 real*8 function prng_next(mel)
7 c <new random number> = prng_next ( <ordinal of generator desired> )
8 c <vector of random #s> = vprng ( <ordinal>, <vector>, <length> )
10 c This code is based on a sequential algorithm provided by Mal Kalos.
11 c This version uses a single 64-bit word to store the initial seeds
12 c and additive constants.
13 c A 64-bit floating point number is returned.
15 c The array "iparam" is full-word aligned, being padded by zeros to
16 c let each generator be on a subpage boundary.
17 c That is, rows 1 and 2 in a given column of the array are for real,
18 c rows 3-16 are bogus.
20 c July 12, 1993: double the number of sequences. We should have been
21 c using two packets per seed, rather than four
22 c October 31, 1993: merge the two arrays of seeds and constants,
23 c and switch to 64-bit arithmetic.
24 c June 1994: port to RS6K. Internal state is kept as 2 64-bit integers
25 c The ishft function is defined only on 32-bit integers, so we will
26 c shift numbers by dividing by 2**11 and then adding on 2**53-1.
28 c November 1994: ishift now works on 64-bit numbers (though it gives a
29 c warning). Thus we go back to using it. John Zollweg also added the
30 c vprng() routine to return vectors of real*8 random numbers.
33 parameter ( recip53 = 2.0D0**(-53) )
35 parameter ( two = 2**11)
37 c parameter ( m = 34522712143931 ) ! 11**13
38 c parameter ( ishift = 9007199254740991 ) ! 2**53-1
43 common/ksrprng/iparam(2,0:nmax)
47 crc g77 doesn't support integer*8 constants
48 m = dint(34522712143931.0d0)
49 ishift = dint(9007199254740991.0d0)
55 c RS6K porting note: ishift now takes 64-bit integers , with a warning
56 if ( 0.le.me .and. me.le.nmax ) then
57 next = iparam(1,me)*m + iparam(2,me)
59 prng_next = recip53 * ishft( next, -11 )
66 c vprng(me, rn, num) Get a vector of random numbers
68 subroutine vprng(me,rn,num)
70 parameter ( recip53 = 2.0D0**(-53) )
72 c parameter ( m = 34522712143931 ) ! 11**13
75 common/ksrprng/iparam(2,0:nmax)
79 crc g77 doesn't support integer*8 constants
80 m = dint(34522712143931.0d0)
82 if ( 0.le.me .and. me.le.nmax ) then
84 next = iparam(1,me)*m + iparam(2,me)
86 rn(i) = recip53 * ishft( next, -11 )
95 c prng_chkpnt Get the current state of a generator
98 c logical prng_chkpnt, status
99 c status = prng_chkpnt (me, iseed) where
101 c me is the particular generator whose state is being gotten
102 c seed is an 4-element integer array where the "l"-values will be saved
104 logical function prng_chkpnt (me, iseed)
112 common/ksrprng/iparam(2,0:nmax)
114 if (me .lt. 0 .or. me .gt. nmax) then
122 c prng_restart Restart generator from a saved state
125 c logical prng_restart, status
126 c status = prng_restart (me, iseed) where
128 c me is the particular generator being restarted
129 c iseed is a 8-byte integer containing the "l"-values
131 logical function prng_restart (mel, iseed)
139 common/ksrprng/iparam(2,0:nmax)
146 if (me .lt. 0 .or. me .gt. nmax) then
158 common/ksrprng/iparam(2,0:nmax)
159 data (iparam(1,i),iparam(2,i),i= 0, 29) /
160 + 11848219, 11848219, 11848237, 11848237, 11848241, 11848241,
161 + 11848247, 11848247, 11848253, 11848253, 11848271, 11848271,
162 + 11848297, 11848297, 11848313, 11848313, 11848339, 11848339,
163 + 11848351, 11848351, 11848357, 11848357, 11848363, 11848363,
164 + 11848367, 11848367, 11848373, 11848373, 11848379, 11848379,
165 + 11848393, 11848393, 11848433, 11848433, 11848451, 11848451,
166 + 11848469, 11848469, 11848477, 11848477, 11848489, 11848489,
167 + 11848493, 11848493, 11848513, 11848513, 11848523, 11848523,
168 + 11848531, 11848531, 11848537, 11848537, 11848553, 11848553,
169 + 11848589, 11848589, 11848591, 11848591, 11848601, 11848601 /
170 data (iparam(1,i),iparam(2,i),i= 30, 59) /
171 + 11848619, 11848619, 11848637, 11848637, 11848663, 11848663,
172 + 11848673, 11848673, 11848679, 11848679, 11848691, 11848691,
173 + 11848699, 11848699, 11848709, 11848709, 11848717, 11848717,
174 + 11848721, 11848721, 11848729, 11848729, 11848741, 11848741,
175 + 11848751, 11848751, 11848757, 11848757, 11848787, 11848787,
176 + 11848801, 11848801, 11848829, 11848829, 11848853, 11848853,
177 + 11848861, 11848861, 11848867, 11848867, 11848873, 11848873,
178 + 11848891, 11848891, 11848909, 11848909, 11848919, 11848919,
179 + 11848931, 11848931, 11848937, 11848937, 11848961, 11848961,
180 + 11848981, 11848981, 11849021, 11849021, 11849039, 11849039 /
181 data (iparam(1,i),iparam(2,i),i= 60, 89) /
182 + 11849053, 11849053, 11849059, 11849059, 11849069, 11849069,
183 + 11849077, 11849077, 11849087, 11849087, 11849093, 11849093,
184 + 11849107, 11849107, 11849111, 11849111, 11849129, 11849129,
185 + 11849137, 11849137, 11849177, 11849177, 11849183, 11849183,
186 + 11849203, 11849203, 11849231, 11849231, 11849237, 11849237,
187 + 11849239, 11849239, 11849249, 11849249, 11849251, 11849251,
188 + 11849269, 11849269, 11849273, 11849273, 11849291, 11849291,
189 + 11849297, 11849297, 11849309, 11849309, 11849339, 11849339,
190 + 11849359, 11849359, 11849363, 11849363, 11849399, 11849399,
191 + 11849401, 11849401, 11849413, 11849413, 11849417, 11849417 /
192 data (iparam(1,i),iparam(2,i),i= 90, 119) /
193 + 11849437, 11849437, 11849443, 11849443, 11849473, 11849473,
194 + 11849491, 11849491, 11849503, 11849503, 11849507, 11849507,
195 + 11849557, 11849557, 11849567, 11849567, 11849569, 11849569,
196 + 11849573, 11849573, 11849587, 11849587, 11849599, 11849599,
197 + 11849633, 11849633, 11849641, 11849641, 11849653, 11849653,
198 + 11849659, 11849659, 11849671, 11849671, 11849683, 11849683,
199 + 11849689, 11849689, 11849693, 11849693, 11849699, 11849699,
200 + 11849701, 11849701, 11849707, 11849707, 11849713, 11849713,
201 + 11849723, 11849723, 11849741, 11849741, 11849743, 11849743,
202 + 11849759, 11849759, 11849767, 11849767, 11849771, 11849771 /
203 data (iparam(1,i),iparam(2,i),i= 120, 149) /
204 + 11849791, 11849791, 11849801, 11849801, 11849809, 11849809,
205 + 11849813, 11849813, 11849869, 11849869, 11849881, 11849881,
206 + 11849891, 11849891, 11849909, 11849909, 11849923, 11849923,
207 + 11849933, 11849933, 11849947, 11849947, 11849987, 11849987,
208 + 11850001, 11850001, 11850011, 11850011, 11850019, 11850019,
209 + 11850023, 11850023, 11850031, 11850031, 11850049, 11850049,
210 + 11850061, 11850061, 11850073, 11850073, 11850077, 11850077,
211 + 11850103, 11850103, 11850109, 11850109, 11850121, 11850121,
212 + 11850127, 11850127, 11850133, 11850133, 11850149, 11850149,
213 + 11850161, 11850161, 11850169, 11850169, 11850191, 11850191 /
214 data (iparam(1,i),iparam(2,i),i= 150, 179) /
215 + 11850233, 11850233, 11850247, 11850247, 11850259, 11850259,
216 + 11850269, 11850269, 11850283, 11850283, 11850301, 11850301,
217 + 11850341, 11850341, 11850347, 11850347, 11850367, 11850367,
218 + 11850373, 11850373, 11850379, 11850379, 11850389, 11850389,
219 + 11850407, 11850407, 11850427, 11850427, 11850437, 11850437,
220 + 11850469, 11850469, 11850481, 11850481, 11850511, 11850511,
221 + 11850529, 11850529, 11850541, 11850541, 11850557, 11850557,
222 + 11850607, 11850607, 11850611, 11850611, 11850667, 11850667,
223 + 11850677, 11850677, 11850679, 11850679, 11850701, 11850701,
224 + 11850731, 11850731, 11850739, 11850739, 11850749, 11850749 /
225 data (iparam(1,i),iparam(2,i),i= 180, 209) /
226 + 11850791, 11850791, 11850803, 11850803, 11850829, 11850829,
227 + 11850833, 11850833, 11850859, 11850859, 11850877, 11850877,
228 + 11850899, 11850899, 11850907, 11850907, 11850913, 11850913,
229 + 11850919, 11850919, 11850931, 11850931, 11850941, 11850941,
230 + 11850947, 11850947, 11850953, 11850953, 11850961, 11850961,
231 + 11850983, 11850983, 11850991, 11850991, 11850997, 11850997,
232 + 11851031, 11851031, 11851033, 11851033, 11851051, 11851051,
233 + 11851061, 11851061, 11851067, 11851067, 11851093, 11851093,
234 + 11851109, 11851109, 11851123, 11851123, 11851127, 11851127,
235 + 11851139, 11851139, 11851157, 11851157, 11851163, 11851163 /
236 data (iparam(1,i),iparam(2,i),i= 210, 239) /
237 + 11851181, 11851181, 11851201, 11851201, 11851219, 11851219,
238 + 11851291, 11851291, 11851303, 11851303, 11851309, 11851309,
239 + 11851313, 11851313, 11851319, 11851319, 11851349, 11851349,
240 + 11851351, 11851351, 11851361, 11851361, 11851373, 11851373,
241 + 11851403, 11851403, 11851409, 11851409, 11851423, 11851423,
242 + 11851447, 11851447, 11851451, 11851451, 11851481, 11851481,
243 + 11851493, 11851493, 11851519, 11851519, 11851523, 11851523,
244 + 11851529, 11851529, 11851547, 11851547, 11851549, 11851549,
245 + 11851559, 11851559, 11851577, 11851577, 11851589, 11851589,
246 + 11851591, 11851591, 11851597, 11851597, 11851603, 11851603 /
247 data (iparam(1,i),iparam(2,i),i= 240, 269) /
248 + 11851607, 11851607, 11851613, 11851613, 11851621, 11851621,
249 + 11851627, 11851627, 11851639, 11851639, 11851673, 11851673,
250 + 11851681, 11851681, 11851727, 11851727, 11851753, 11851753,
251 + 11851759, 11851759, 11851787, 11851787, 11851793, 11851793,
252 + 11851799, 11851799, 11851813, 11851813, 11851841, 11851841,
253 + 11851859, 11851859, 11851867, 11851867, 11851891, 11851891,
254 + 11851909, 11851909, 11851919, 11851919, 11851927, 11851927,
255 + 11851933, 11851933, 11851949, 11851949, 11851967, 11851967,
256 + 11851997, 11851997, 11852017, 11852017, 11852051, 11852051,
257 + 11852053, 11852053, 11852059, 11852059, 11852083, 11852083 /
258 data (iparam(1,i),iparam(2,i),i= 270, 299) /
259 + 11852089, 11852089, 11852129, 11852129, 11852147, 11852147,
260 + 11852149, 11852149, 11852161, 11852161, 11852171, 11852171,
261 + 11852177, 11852177, 11852209, 11852209, 11852221, 11852221,
262 + 11852237, 11852237, 11852251, 11852251, 11852263, 11852263,
263 + 11852273, 11852273, 11852279, 11852279, 11852287, 11852287,
264 + 11852293, 11852293, 11852297, 11852297, 11852303, 11852303,
265 + 11852311, 11852311, 11852327, 11852327, 11852339, 11852339,
266 + 11852341, 11852341, 11852359, 11852359, 11852369, 11852369,
267 + 11852437, 11852437, 11852453, 11852453, 11852459, 11852459,
268 + 11852473, 11852473, 11852513, 11852513, 11852531, 11852531 /
269 data (iparam(1,i),iparam(2,i),i= 300, 329) /
270 + 11852537, 11852537, 11852539, 11852539, 11852557, 11852557,
271 + 11852573, 11852573, 11852579, 11852579, 11852591, 11852591,
272 + 11852609, 11852609, 11852611, 11852611, 11852623, 11852623,
273 + 11852641, 11852641, 11852647, 11852647, 11852657, 11852657,
274 + 11852663, 11852663, 11852717, 11852717, 11852719, 11852719,
275 + 11852741, 11852741, 11852759, 11852759, 11852767, 11852767,
276 + 11852773, 11852773, 11852803, 11852803, 11852807, 11852807,
277 + 11852809, 11852809, 11852831, 11852831, 11852833, 11852833,
278 + 11852837, 11852837, 11852857, 11852857, 11852873, 11852873,
279 + 11852879, 11852879, 11852891, 11852891, 11852917, 11852917 /
280 data (iparam(1,i),iparam(2,i),i= 330, 359) /
281 + 11852921, 11852921, 11852957, 11852957, 11852959, 11852959,
282 + 11852969, 11852969, 11852983, 11852983, 11852989, 11852989,
283 + 11853001, 11853001, 11853013, 11853013, 11853019, 11853019,
284 + 11853031, 11853031, 11853089, 11853089, 11853133, 11853133,
285 + 11853157, 11853157, 11853161, 11853161, 11853181, 11853181,
286 + 11853203, 11853203, 11853217, 11853217, 11853221, 11853221,
287 + 11853227, 11853227, 11853241, 11853241, 11853307, 11853307,
288 + 11853319, 11853319, 11853323, 11853323, 11853329, 11853329,
289 + 11853367, 11853367, 11853383, 11853383, 11853419, 11853419,
290 + 11853421, 11853421, 11853427, 11853427, 11853449, 11853449 /
291 data (iparam(1,i),iparam(2,i),i= 360, 389) /
292 + 11853451, 11853451, 11853463, 11853463, 11853529, 11853529,
293 + 11853557, 11853557, 11853571, 11853571, 11853601, 11853601,
294 + 11853613, 11853613, 11853617, 11853617, 11853629, 11853629,
295 + 11853649, 11853649, 11853659, 11853659, 11853679, 11853679,
296 + 11853689, 11853689, 11853719, 11853719, 11853731, 11853731,
297 + 11853757, 11853757, 11853761, 11853761, 11853773, 11853773,
298 + 11853791, 11853791, 11853817, 11853817, 11853839, 11853839,
299 + 11853847, 11853847, 11853857, 11853857, 11853869, 11853869,
300 + 11853883, 11853883, 11853887, 11853887, 11853889, 11853889,
301 + 11853893, 11853893, 11853899, 11853899, 11853911, 11853911 /
302 data (iparam(1,i),iparam(2,i),i= 390, 419) /
303 + 11853931, 11853931, 11853943, 11853943, 11853979, 11853979,
304 + 11853991, 11853991, 11854001, 11854001, 11854009, 11854009,
305 + 11854019, 11854019, 11854057, 11854057, 11854061, 11854061,
306 + 11854147, 11854147, 11854159, 11854159, 11854163, 11854163,
307 + 11854169, 11854169, 11854211, 11854211, 11854247, 11854247,
308 + 11854261, 11854261, 11854267, 11854267, 11854279, 11854279,
309 + 11854303, 11854303, 11854327, 11854327, 11854331, 11854331,
310 + 11854333, 11854333, 11854363, 11854363, 11854379, 11854379,
311 + 11854399, 11854399, 11854411, 11854411, 11854429, 11854429,
312 + 11854433, 11854433, 11854439, 11854439, 11854441, 11854441 /
313 data (iparam(1,i),iparam(2,i),i= 420, 449) /
314 + 11854463, 11854463, 11854477, 11854477, 11854489, 11854489,
315 + 11854517, 11854517, 11854519, 11854519, 11854523, 11854523,
316 + 11854529, 11854529, 11854567, 11854567, 11854571, 11854571,
317 + 11854573, 11854573, 11854603, 11854603, 11854607, 11854607,
318 + 11854681, 11854681, 11854691, 11854691, 11854709, 11854709,
319 + 11854723, 11854723, 11854757, 11854757, 11854783, 11854783,
320 + 11854793, 11854793, 11854813, 11854813, 11854847, 11854847,
321 + 11854853, 11854853, 11854873, 11854873, 11854877, 11854877,
322 + 11854883, 11854883, 11854891, 11854891, 11854897, 11854897,
323 + 11854901, 11854901, 11854919, 11854919, 11854937, 11854937 /
324 data (iparam(1,i),iparam(2,i),i= 450, 479) /
325 + 11854961, 11854961, 11854963, 11854963, 11854979, 11854979,
326 + 11855003, 11855003, 11855017, 11855017, 11855023, 11855023,
327 + 11855029, 11855029, 11855033, 11855033, 11855111, 11855111,
328 + 11855141, 11855141, 11855147, 11855147, 11855149, 11855149,
329 + 11855159, 11855159, 11855177, 11855177, 11855203, 11855203,
330 + 11855213, 11855213, 11855219, 11855219, 11855231, 11855231,
331 + 11855267, 11855267, 11855269, 11855269, 11855303, 11855303,
332 + 11855309, 11855309, 11855321, 11855321, 11855329, 11855329,
333 + 11855339, 11855339, 11855351, 11855351, 11855353, 11855353,
334 + 11855357, 11855357, 11855359, 11855359, 11855381, 11855381 /
335 data (iparam(1,i),iparam(2,i),i= 480, 509) /
336 + 11855383, 11855383, 11855387, 11855387, 11855399, 11855399,
337 + 11855407, 11855407, 11855413, 11855413, 11855489, 11855489,
338 + 11855491, 11855491, 11855507, 11855507, 11855521, 11855521,
339 + 11855531, 11855531, 11855549, 11855549, 11855551, 11855551,
340 + 11855567, 11855567, 11855581, 11855581, 11855587, 11855587,
341 + 11855593, 11855593, 11855633, 11855633, 11855653, 11855653,
342 + 11855663, 11855663, 11855687, 11855687, 11855689, 11855689,
343 + 11855699, 11855699, 11855713, 11855713, 11855731, 11855731,
344 + 11855737, 11855737, 11855743, 11855743, 11855747, 11855747,
345 + 11855759, 11855759, 11855773, 11855773, 11855801, 11855801 /
346 data (iparam(1,i),iparam(2,i),i= 510, 539) /
347 + 11855807, 11855807, 11855813, 11855813, 11855827, 11855827,
348 + 11855839, 11855839, 11855869, 11855869, 11855881, 11855881,
349 + 11855903, 11855903, 11855911, 11855911, 11855933, 11855933,
350 + 11855959, 11855959, 11855989, 11855989, 11855993, 11855993,
351 + 11855999, 11855999, 11856001, 11856001, 11856023, 11856023,
352 + 11856049, 11856049, 11856071, 11856071, 11856101, 11856101,
353 + 11856107, 11856107, 11856113, 11856113, 11856139, 11856139,
354 + 11856151, 11856151, 11856161, 11856161, 11856179, 11856179,
355 + 11856193, 11856193, 11856199, 11856199, 11856223, 11856223,
356 + 11856239, 11856239, 11856263, 11856263, 11856269, 11856269 /
357 data (iparam(1,i),iparam(2,i),i= 540, 569) /
358 + 11856281, 11856281, 11856287, 11856287, 11856307, 11856307,
359 + 11856311, 11856311, 11856329, 11856329, 11856343, 11856343,
360 + 11856359, 11856359, 11856371, 11856371, 11856373, 11856373,
361 + 11856409, 11856409, 11856419, 11856419, 11856461, 11856461,
362 + 11856469, 11856469, 11856473, 11856473, 11856479, 11856479,
363 + 11856511, 11856511, 11856517, 11856517, 11856541, 11856541,
364 + 11856547, 11856547, 11856553, 11856553, 11856583, 11856583,
365 + 11856629, 11856629, 11856641, 11856641, 11856653, 11856653,
366 + 11856659, 11856659, 11856673, 11856673, 11856697, 11856697,
367 + 11856709, 11856709, 11856727, 11856727, 11856731, 11856731 /
368 data (iparam(1,i),iparam(2,i),i= 570, 599) /
369 + 11856763, 11856763, 11856809, 11856809, 11856811, 11856811,
370 + 11856821, 11856821, 11856841, 11856841, 11856857, 11856857,
371 + 11856877, 11856877, 11856883, 11856883, 11856899, 11856899,
372 + 11856919, 11856919, 11856947, 11856947, 11856953, 11856953,
373 + 11856979, 11856979, 11857003, 11857003, 11857033, 11857033,
374 + 11857037, 11857037, 11857039, 11857039, 11857049, 11857049,
375 + 11857061, 11857061, 11857067, 11857067, 11857073, 11857073,
376 + 11857081, 11857081, 11857091, 11857091, 11857093, 11857093,
377 + 11857099, 11857099, 11857123, 11857123, 11857127, 11857127,
378 + 11857147, 11857147, 11857151, 11857151, 11857193, 11857193 /
379 data (iparam(1,i),iparam(2,i),i= 600, 629) /
380 + 11857217, 11857217, 11857229, 11857229, 11857243, 11857243,
381 + 11857249, 11857249, 11857267, 11857267, 11857277, 11857277,
382 + 11857291, 11857291, 11857303, 11857303, 11857309, 11857309,
383 + 11857327, 11857327, 11857331, 11857331, 11857333, 11857333,
384 + 11857361, 11857361, 11857367, 11857367, 11857369, 11857369,
385 + 11857393, 11857393, 11857399, 11857399, 11857409, 11857409,
386 + 11857421, 11857421, 11857423, 11857423, 11857451, 11857451,
387 + 11857453, 11857453, 11857457, 11857457, 11857477, 11857477,
388 + 11857481, 11857481, 11857493, 11857493, 11857499, 11857499,
389 + 11857519, 11857519, 11857523, 11857523, 11857529, 11857529 /
390 data (iparam(1,i),iparam(2,i),i= 630, 659) /
391 + 11857543, 11857543, 11857561, 11857561, 11857589, 11857589,
392 + 11857591, 11857591, 11857613, 11857613, 11857621, 11857621,
393 + 11857661, 11857661, 11857667, 11857667, 11857693, 11857693,
394 + 11857697, 11857697, 11857709, 11857709, 11857711, 11857711,
395 + 11857751, 11857751, 11857753, 11857753, 11857759, 11857759,
396 + 11857763, 11857763, 11857777, 11857777, 11857787, 11857787,
397 + 11857793, 11857793, 11857801, 11857801, 11857817, 11857817,
398 + 11857819, 11857819, 11857831, 11857831, 11857837, 11857837,
399 + 11857873, 11857873, 11857877, 11857877, 11857883, 11857883,
400 + 11857889, 11857889, 11857907, 11857907, 11857913, 11857913 /
401 data (iparam(1,i),iparam(2,i),i= 660, 689) /
402 + 11857931, 11857931, 11857969, 11857969, 11857991, 11857991,
403 + 11857999, 11857999, 11858009, 11858009, 11858017, 11858017,
404 + 11858023, 11858023, 11858029, 11858029, 11858039, 11858039,
405 + 11858051, 11858051, 11858057, 11858057, 11858059, 11858059,
406 + 11858101, 11858101, 11858111, 11858111, 11858131, 11858131,
407 + 11858149, 11858149, 11858159, 11858159, 11858177, 11858177,
408 + 11858191, 11858191, 11858201, 11858201, 11858227, 11858227,
409 + 11858243, 11858243, 11858267, 11858267, 11858269, 11858269,
410 + 11858279, 11858279, 11858281, 11858281, 11858291, 11858291,
411 + 11858311, 11858311, 11858323, 11858323, 11858359, 11858359 /
412 data (iparam(1,i),iparam(2,i),i= 690, 719) /
413 + 11858377, 11858377, 11858381, 11858381, 11858387, 11858387,
414 + 11858423, 11858423, 11858443, 11858443, 11858447, 11858447,
415 + 11858479, 11858479, 11858533, 11858533, 11858543, 11858543,
416 + 11858551, 11858551, 11858557, 11858557, 11858569, 11858569,
417 + 11858573, 11858573, 11858579, 11858579, 11858597, 11858597,
418 + 11858599, 11858599, 11858629, 11858629, 11858657, 11858657,
419 + 11858659, 11858659, 11858683, 11858683, 11858701, 11858701,
420 + 11858719, 11858719, 11858723, 11858723, 11858729, 11858729,
421 + 11858747, 11858747, 11858779, 11858779, 11858783, 11858783,
422 + 11858801, 11858801, 11858807, 11858807, 11858813, 11858813 /
423 data (iparam(1,i),iparam(2,i),i= 720, 749) /
424 + 11858839, 11858839, 11858851, 11858851, 11858893, 11858893,
425 + 11858897, 11858897, 11858921, 11858921, 11858947, 11858947,
426 + 11858953, 11858953, 11858969, 11858969, 11858971, 11858971,
427 + 11858989, 11858989, 11859017, 11859017, 11859031, 11859031,
428 + 11859049, 11859049, 11859061, 11859061, 11859073, 11859073,
429 + 11859077, 11859077, 11859079, 11859079, 11859083, 11859083,
430 + 11859101, 11859101, 11859109, 11859109, 11859137, 11859137,
431 + 11859139, 11859139, 11859151, 11859151, 11859157, 11859157,
432 + 11859163, 11859163, 11859167, 11859167, 11859179, 11859179,
433 + 11859187, 11859187, 11859229, 11859229, 11859233, 11859233 /
434 data (iparam(1,i),iparam(2,i),i= 750, 779) /
435 + 11859241, 11859241, 11859247, 11859247, 11859269, 11859269,
436 + 11859293, 11859293, 11859307, 11859307, 11859311, 11859311,
437 + 11859349, 11859349, 11859359, 11859359, 11859371, 11859371,
438 + 11859377, 11859377, 11859383, 11859383, 11859427, 11859427,
439 + 11859433, 11859433, 11859451, 11859451, 11859457, 11859457,
440 + 11859461, 11859461, 11859473, 11859473, 11859481, 11859481,
441 + 11859487, 11859487, 11859493, 11859493, 11859503, 11859503,
442 + 11859509, 11859509, 11859539, 11859539, 11859541, 11859541,
443 + 11859563, 11859563, 11859569, 11859569, 11859571, 11859571,
444 + 11859583, 11859583, 11859599, 11859599, 11859611, 11859611 /
445 data (iparam(1,i),iparam(2,i),i= 780, 809) /
446 + 11859643, 11859643, 11859707, 11859707, 11859713, 11859713,
447 + 11859719, 11859719, 11859739, 11859739, 11859751, 11859751,
448 + 11859791, 11859791, 11859817, 11859817, 11859821, 11859821,
449 + 11859833, 11859833, 11859847, 11859847, 11859853, 11859853,
450 + 11859877, 11859877, 11859889, 11859889, 11859893, 11859893,
451 + 11859901, 11859901, 11859907, 11859907, 11859917, 11859917,
452 + 11859923, 11859923, 11859929, 11859929, 11859961, 11859961,
453 + 11859979, 11859979, 11859989, 11859989, 11859997, 11859997,
454 + 11860021, 11860021, 11860031, 11860031, 11860039, 11860039,
455 + 11860049, 11860049, 11860081, 11860081, 11860087, 11860087 /
456 data (iparam(1,i),iparam(2,i),i= 810, 839) /
457 + 11860097, 11860097, 11860103, 11860103, 11860109, 11860109,
458 + 11860117, 11860117, 11860133, 11860133, 11860151, 11860151,
459 + 11860171, 11860171, 11860207, 11860207, 11860223, 11860223,
460 + 11860231, 11860231, 11860243, 11860243, 11860267, 11860267,
461 + 11860301, 11860301, 11860307, 11860307, 11860327, 11860327,
462 + 11860379, 11860379, 11860397, 11860397, 11860411, 11860411,
463 + 11860469, 11860469, 11860477, 11860477, 11860483, 11860483,
464 + 11860487, 11860487, 11860489, 11860489, 11860493, 11860493,
465 + 11860517, 11860517, 11860547, 11860547, 11860567, 11860567,
466 + 11860573, 11860573, 11860613, 11860613, 11860619, 11860619 /
467 data (iparam(1,i),iparam(2,i),i= 840, 869) /
468 + 11860627, 11860627, 11860637, 11860637, 11860643, 11860643,
469 + 11860649, 11860649, 11860661, 11860661, 11860669, 11860669,
470 + 11860687, 11860687, 11860691, 11860691, 11860697, 11860697,
471 + 11860699, 11860699, 11860703, 11860703, 11860727, 11860727,
472 + 11860741, 11860741, 11860753, 11860753, 11860777, 11860777,
473 + 11860787, 11860787, 11860789, 11860789, 11860811, 11860811,
474 + 11860837, 11860837, 11860859, 11860859, 11860867, 11860867,
475 + 11860889, 11860889, 11860897, 11860897, 11860963, 11860963,
476 + 11860969, 11860969, 11860973, 11860973, 11860993, 11860993,
477 + 11861011, 11861011, 11861033, 11861033, 11861071, 11861071 /
478 data (iparam(1,i),iparam(2,i),i= 870, 899) /
479 + 11861081, 11861081, 11861089, 11861089, 11861093, 11861093,
480 + 11861099, 11861099, 11861107, 11861107, 11861131, 11861131,
481 + 11861141, 11861141, 11861159, 11861159, 11861167, 11861167,
482 + 11861191, 11861191, 11861197, 11861197, 11861207, 11861207,
483 + 11861219, 11861219, 11861221, 11861221, 11861231, 11861231,
484 + 11861237, 11861237, 11861273, 11861273, 11861293, 11861293,
485 + 11861299, 11861299, 11861303, 11861303, 11861327, 11861327,
486 + 11861351, 11861351, 11861357, 11861357, 11861363, 11861363,
487 + 11861371, 11861371, 11861401, 11861401, 11861407, 11861407,
488 + 11861411, 11861411, 11861413, 11861413, 11861429, 11861429 /
489 data (iparam(1,i),iparam(2,i),i= 900, 929) /
490 + 11861441, 11861441, 11861467, 11861467, 11861527, 11861527,
491 + 11861539, 11861539, 11861543, 11861543, 11861557, 11861557,
492 + 11861569, 11861569, 11861573, 11861573, 11861579, 11861579,
493 + 11861581, 11861581, 11861599, 11861599, 11861611, 11861611,
494 + 11861617, 11861617, 11861627, 11861627, 11861639, 11861639,
495 + 11861651, 11861651, 11861659, 11861659, 11861671, 11861671,
496 + 11861683, 11861683, 11861687, 11861687, 11861693, 11861693,
497 + 11861701, 11861701, 11861711, 11861711, 11861713, 11861713,
498 + 11861749, 11861749, 11861791, 11861791, 11861803, 11861803,
499 + 11861819, 11861819, 11861827, 11861827, 11861849, 11861849 /
500 data (iparam(1,i),iparam(2,i),i= 930, 959) /
501 + 11861873, 11861873, 11861879, 11861879, 11861887, 11861887,
502 + 11861911, 11861911, 11861917, 11861917, 11861921, 11861921,
503 + 11861923, 11861923, 11861953, 11861953, 11861959, 11861959,
504 + 11861987, 11861987, 11862007, 11862007, 11862013, 11862013,
505 + 11862029, 11862029, 11862031, 11862031, 11862049, 11862049,
506 + 11862077, 11862077, 11862083, 11862083, 11862157, 11862157,
507 + 11862167, 11862167, 11862199, 11862199, 11862203, 11862203,
508 + 11862217, 11862217, 11862223, 11862223, 11862229, 11862229,
509 + 11862233, 11862233, 11862239, 11862239, 11862241, 11862241,
510 + 11862259, 11862259, 11862269, 11862269, 11862271, 11862271 /
511 data (iparam(1,i),iparam(2,i),i= 960, 989) /
512 + 11862293, 11862293, 11862307, 11862307, 11862313, 11862313,
513 + 11862317, 11862317, 11862343, 11862343, 11862353, 11862353,
514 + 11862373, 11862373, 11862391, 11862391, 11862439, 11862439,
515 + 11862469, 11862469, 11862493, 11862493, 11862527, 11862527,
516 + 11862547, 11862547, 11862563, 11862563, 11862569, 11862569,
517 + 11862577, 11862577, 11862581, 11862581, 11862611, 11862611,
518 + 11862623, 11862623, 11862661, 11862661, 11862673, 11862673,
519 + 11862679, 11862679, 11862701, 11862701, 11862703, 11862703,
520 + 11862713, 11862713, 11862761, 11862761, 11862791, 11862791,
521 + 11862803, 11862803, 11862839, 11862839, 11862841, 11862841 /
522 data (iparam(1,i),iparam(2,i),i= 990,1019) /
523 + 11862857, 11862857, 11862869, 11862869, 11862881, 11862881,
524 + 11862911, 11862911, 11862919, 11862919, 11862959, 11862959,
525 + 11862979, 11862979, 11862989, 11862989, 11862997, 11862997,
526 + 11863021, 11863021, 11863031, 11863031, 11863037, 11863037,
527 + 11863039, 11863039, 11863057, 11863057, 11863067, 11863067,
528 + 11863073, 11863073, 11863099, 11863099, 11863109, 11863109,
529 + 11863121, 11863121, 11863123, 11863123, 11863133, 11863133,
530 + 11863151, 11863151, 11863153, 11863153, 11863171, 11863171,
531 + 11863183, 11863183, 11863207, 11863207, 11863213, 11863213,
532 + 11863237, 11863237, 11863249, 11863249, 11863253, 11863253 /
533 data (iparam(1,i),iparam(2,i),i=1020,1021) /
534 + 11863259, 11863259, 11863279, 11863279 /
537 real function prng_next(me)
538 crc logical prng_restart, prng_chkpnt
541 c <new random number> = prng_next ( <ordinal of generator desired> )
543 c This code is based on a sequential algorithm provided by Mal Kalos.
544 c This version uses 4 16-bit packets, and uses a block data common
545 c area for the initial seeds and constants. A 64-bit floating point
546 c number is returned.
548 c The arrays "l" and "n" are full-word aligned, being padded by zeros
549 c That is, rows 1-4 in a given column are for real, rows 5-16 are bogus
551 c July 12, 1993: double the number of sequences. We should have been
552 c using two packets per seed, rather than four
556 parameter(tpm12 = 1.d0/65536.d0)
559 common/ksrprng/l(16,0:nmax),n(16,0:nmax)
560 c*ksr*subpage /ksrprng/
561 data m1,m2,m3,m4 / 0, 8037, 61950, 30779/
562 if (me .lt. 0 .or. me .gt. nmax) then
570 i1=l1*m4+l2*m3+l3*m2+l4*m1 + n(1,me)
571 i2=l2*m4+l3*m3+l4*m2 + n(2,me)
572 i3=l3*m4+l4*m3 + n(3,me)
579 l1=and(i1+ishft(i2,-16),65535)
580 prng_next=tpm12*(l1+tpm12*(l2+tpm12*(l3+tpm12*l4)))
588 c prng_chkpnt Get the current state of a generator
591 c logical prng_chkpnt, status
592 c status = prng_chkpnt (me, iseed) where
594 c me is the particular generator whose state is being gotten
595 c seed is an 4-element integer array where the "l"-values will be saved
597 crc entry prng_chkpnt (me, iseed)
598 logical function prng_chkpnt (me, iseed)
601 common/ksrprng/l(16,0:nmax),n(16,0:nmax)
602 if (me .lt. 0 .or. me .gt. nmax) then
614 c prng_restart Restart generator from a saved state
617 c logical prng_restart, status
618 c status = prng_restart (me, iseed) where
620 c me is the particular generator being restarted
621 c seed is an 4-element integer array containing the "l"-values
623 crc entry prng_restart (me, iseed)
624 logical function prng_restart (me, iseed)
627 common/ksrprng/l(16,0:nmax),n(16,0:nmax)
628 if (me .lt. 0 .or. me .gt. nmax) then
643 c Sequence of prime numbers represented as pairs of 16-bit integers
644 c modulo 2**16, obtained from Mal Kalos August 28, 1992. Only 98
645 c continuation cards are allowed by ksr Fortran, so several DATA
646 c statements are used to initialize 1022 generators.
648 c @cornell university, 1992
650 parameter(nmax=1021,nmax1=2*nmax+2)
651 common/ksrprng/l(16,0:nmax),n(16,0:nmax)
652 c*ksr*subpage /ksrprng/
654 c High order quads in arrays "l" and "n" are initialized to zero : rows 1-2
655 c Rows 5-16 remain uninitialized. They are just pads, never used.
656 DATA ((l(i,j),i=1,2),j=0,nmax)/nmax1*0.0/
657 DATA ((n(i,j),i=1,2),j=0,nmax)/nmax1*0.0/
659 c The rest of array "l" and "n" are initialized to a 20-bit seed
660 DATA ((l(i,j),i=3,4),j=0,489)/
661 .180, 51739,180, 51757,180, 51761,180, 51767,180,51773,
662 .180, 51791,180, 51817,180, 51833,180, 51859,180, 51871,
663 .180, 51877,180, 51883,180, 51887,180, 51893,180, 51899,
664 .180, 51913,180, 51953,180, 51971,180, 51989,180, 51997,
665 .180, 52009,180, 52013,180, 52033,180, 52043,180, 52051,
666 .180, 52057,180, 52073,180, 52109,180, 52111,180, 52121,
667 .180, 52139,180, 52157,180, 52183,180, 52193,180, 52199,
668 .180, 52211,180, 52219,180, 52229,180, 52237,180, 52241,
669 .180, 52249,180, 52261,180, 52271,180, 52277,180, 52307,
670 .180, 52321,180, 52349,180, 52373,180, 52381,180, 52387,
671 .180, 52393,180, 52411,180, 52429,180, 52439,180, 52451,
672 .180, 52457,180, 52481,180, 52501,180, 52541,180, 52559,
673 .180, 52573,180, 52579,180, 52589,180, 52597,180, 52607,
674 .180, 52613,180, 52627,180, 52631,180, 52649,180, 52657,
675 .180, 52697,180, 52703,180, 52723,180, 52751,180, 52757,
676 .180, 52759,180, 52769,180, 52771,180, 52789,180, 52793,
677 .180, 52811,180, 52817,180, 52829,180, 52859,180, 52879,
678 .180, 52883,180, 52919,180, 52921,180, 52933,180, 52937,
679 .180, 52957,180, 52963,180, 52993,180, 53011,180, 53023,
680 .180, 53027,180, 53077,180, 53087,180, 53089,180, 53093,
681 .180, 53107,180, 53119,180, 53153,180, 53161,180, 53173,
682 .180, 53179,180, 53191,180, 53203,180, 53209,180, 53213,
683 .180, 53219,180, 53221,180, 53227,180, 53233,180, 53243,
684 .180, 53261,180, 53263,180, 53279,180, 53287,180, 53291,
685 .180, 53311,180, 53321,180, 53329,180, 53333,180, 53389,
686 .180, 53401,180, 53411,180, 53429,180, 53443,180, 53453,
687 .180, 53467,180, 53507,180, 53521,180, 53531,180, 53539,
688 .180, 53543,180, 53551,180, 53569,180, 53581,180, 53593,
689 .180, 53597,180, 53623,180, 53629,180, 53641,180, 53647,
690 .180, 53653,180, 53669,180, 53681,180, 53689,180, 53711,
691 .180, 53753,180, 53767,180, 53779,180, 53789,180, 53803,
692 .180, 53821,180, 53861,180, 53867,180, 53887,180, 53893,
693 .180, 53899,180, 53909,180, 53927,180, 53947,180, 53957,
694 .180, 53989,180, 54001,180, 54031,180, 54049,180, 54061,
695 .180, 54077,180, 54127,180, 54131,180, 54187,180, 54197,
696 .180, 54199,180, 54221,180, 54251,180, 54259,180, 54269,
697 .180, 54311,180, 54323,180, 54349,180, 54353,180, 54379,
698 .180, 54397,180, 54419,180, 54427,180, 54433,180, 54439,
699 .180, 54451,180, 54461,180, 54467,180, 54473,180, 54481,
700 .180, 54503,180, 54511,180, 54517,180, 54551,180, 54553,
701 .180, 54571,180, 54581,180, 54587,180, 54613,180, 54629,
702 .180, 54643,180, 54647,180, 54659,180, 54677,180, 54683,
703 .180, 54701,180, 54721,180, 54739,180, 54811,180, 54823,
704 .180, 54829,180, 54833,180, 54839,180, 54869,180, 54871,
705 .180, 54881,180, 54893,180, 54923,180, 54929,180, 54943,
706 .180, 54967,180, 54971,180, 55001,180, 55013,180, 55039,
707 .180, 55043,180, 55049,180, 55067,180, 55069,180, 55079,
708 .180, 55097,180, 55109,180, 55111,180, 55117,180, 55123,
709 .180, 55127,180, 55133,180, 55141,180, 55147,180, 55159,
710 .180, 55193,180, 55201,180, 55247,180, 55273,180, 55279,
711 .180, 55307,180, 55313,180, 55319,180, 55333,180, 55361,
712 .180, 55379,180, 55387,180, 55411,180, 55429,180, 55439,
713 .180, 55447,180, 55453,180, 55469,180, 55487,180, 55517,
714 .180, 55537,180, 55571,180, 55573,180, 55579,180, 55603,
715 .180, 55609,180, 55649,180, 55667,180, 55669,180, 55681,
716 .180, 55691,180, 55697,180, 55729,180, 55741,180, 55757,
717 .180, 55771,180, 55783,180, 55793,180, 55799,180, 55807,
718 .180, 55813,180, 55817,180, 55823,180, 55831,180, 55847,
719 .180, 55859,180, 55861,180, 55879,180, 55889,180, 55957,
720 .180, 55973,180, 55979,180, 55993,180, 56033,180, 56051,
721 .180, 56057,180, 56059,180, 56077,180, 56093,180, 56099,
722 .180, 56111,180, 56129,180, 56131,180, 56143,180, 56161,
723 .180, 56167,180, 56177,180, 56183,180, 56237,180, 56239,
724 .180, 56261,180, 56279,180, 56287,180, 56293,180, 56323,
725 .180, 56327,180, 56329,180, 56351,180, 56353,180, 56357,
726 .180, 56377,180, 56393,180, 56399,180, 56411,180, 56437,
727 .180, 56441,180, 56477,180, 56479,180, 56489,180, 56503,
728 .180, 56509,180, 56521,180, 56533,180, 56539,180, 56551,
729 .180, 56609,180, 56653,180, 56677,180, 56681,180, 56701,
730 .180, 56723,180, 56737,180, 56741,180, 56747,180, 56761,
731 .180, 56827,180, 56839,180, 56843,180, 56849,180, 56887,
732 .180, 56903,180, 56939,180, 56941,180, 56947,180, 56969,
733 .180, 56971,180, 56983,180, 57049,180, 57077,180, 57091,
734 .180, 57121,180, 57133,180, 57137,180, 57149,180, 57169,
735 .180, 57179,180, 57199,180, 57209,180, 57239,180, 57251,
736 .180, 57277,180, 57281,180, 57293,180, 57311,180, 57337,
737 .180, 57359,180, 57367,180, 57377,180, 57389,180, 57403,
738 .180, 57407,180, 57409,180, 57413,180, 57419,180, 57431,
739 .180, 57451,180, 57463,180, 57499,180, 57511,180, 57521,
740 .180, 57529,180, 57539,180, 57577,180, 57581,180, 57667,
741 .180, 57679,180, 57683,180, 57689,180, 57731,180, 57767,
742 .180, 57781,180, 57787,180, 57799,180, 57823,180, 57847,
743 .180, 57851,180, 57853,180, 57883,180, 57899,180, 57919,
744 .180, 57931,180, 57949,180, 57953,180, 57959,180, 57961,
745 .180, 57983,180, 57997,180, 58009,180, 58037,180, 58039,
746 .180, 58043,180, 58049,180, 58087,180, 58091,180, 58093,
747 .180, 58123,180, 58127,180, 58201,180, 58211,180, 58229,
748 .180, 58243,180, 58277,180, 58303,180, 58313,180, 58333,
749 .180, 58367,180, 58373,180, 58393,180, 58397,180, 58403,
750 .180, 58411,180, 58417,180, 58421,180, 58439,180, 58457,
751 .180, 58481,180, 58483,180, 58499,180, 58523,180, 58537,
752 .180, 58543,180, 58549,180, 58553,180, 58631,180, 58661,
753 .180, 58667,180, 58669,180, 58679,180, 58697,180, 58723,
754 .180, 58733,180, 58739,180, 58751,180, 58787,180, 58789,
755 .180, 58823,180, 58829,180, 58841,180, 58849,180, 58859,
756 .180, 58871,180, 58873,180, 58877,180, 58879,180, 58901,
757 .180, 58903,180, 58907,180, 58919,180, 58927,180, 58933,
758 .180, 59009,180, 59011,180, 59027,180, 59041,180, 59051/
759 DATA ((l(i,j),i=3,4),j=490,979)/
760 .180, 59069,180, 59071,180, 59087,180, 59101,180, 59107,
761 .180, 59113,180, 59153,180, 59173,180, 59183,180, 59207,
762 .180, 59209,180, 59219,180, 59233,180, 59251,180, 59257,
763 .180, 59263,180, 59267,180, 59279,180, 59293,180, 59321,
764 .180, 59327,180, 59333,180, 59347,180, 59359,180, 59389,
765 .180, 59401,180, 59423,180, 59431,180, 59453,180, 59479,
766 .180, 59509,180, 59513,180, 59519,180, 59521,180, 59543,
767 .180, 59569,180, 59591,180, 59621,180, 59627,180, 59633,
768 .180, 59659,180, 59671,180, 59681,180, 59699,180, 59713,
769 .180, 59719,180, 59743,180, 59759,180, 59783,180, 59789,
770 .180, 59801,180, 59807,180, 59827,180, 59831,180, 59849,
771 .180, 59863,180, 59879,180, 59891,180, 59893,180, 59929,
772 .180, 59939,180, 59981,180, 59989,180, 59993,180, 59999,
773 .180, 60031,180, 60037,180, 60061,180, 60067,180, 60073,
774 .180, 60103,180, 60149,180, 60161,180, 60173,180, 60179,
775 .180, 60193,180, 60217,180, 60229,180, 60247,180, 60251,
776 .180, 60283,180, 60329,180, 60331,180, 60341,180, 60361,
777 .180, 60377,180, 60397,180, 60403,180, 60419,180, 60439,
778 .180, 60467,180, 60473,180, 60499,180, 60523,180, 60553,
779 .180, 60557,180, 60559,180, 60569,180, 60581,180, 60587,
780 .180, 60593,180, 60601,180, 60611,180, 60613,180, 60619,
781 .180, 60643,180, 60647,180, 60667,180, 60671,180, 60713,
782 .180, 60737,180, 60749,180, 60763,180, 60769,180, 60787,
783 .180, 60797,180, 60811,180, 60823,180, 60829,180, 60847,
784 .180, 60851,180, 60853,180, 60881,180, 60887,180, 60889,
785 .180, 60913,180, 60919,180, 60929,180, 60941,180, 60943,
786 .180, 60971,180, 60973,180, 60977,180, 60997,180, 61001,
787 .180, 61013,180, 61019,180, 61039,180, 61043,180, 61049,
788 .180, 61063,180, 61081,180, 61109,180, 61111,180, 61133,
789 .180, 61141,180, 61181,180, 61187,180, 61213,180, 61217,
790 .180, 61229,180, 61231,180, 61271,180, 61273,180, 61279,
791 .180, 61283,180, 61297,180, 61307,180, 61313,180, 61321,
792 .180, 61337,180, 61339,180, 61351,180, 61357,180, 61393,
793 .180, 61397,180, 61403,180, 61409,180, 61427,180, 61433,
794 .180, 61451,180, 61489,180, 61511,180, 61519,180, 61529,
795 .180, 61537,180, 61543,180, 61549,180, 61559,180, 61571,
796 .180, 61577,180, 61579,180, 61621,180, 61631,180, 61651,
797 .180, 61669,180, 61679,180, 61697,180, 61711,180, 61721,
798 .180, 61747,180, 61763,180, 61787,180, 61789,180, 61799,
799 .180, 61801,180, 61811,180, 61831,180, 61843,180, 61879,
800 .180, 61897,180, 61901,180, 61907,180, 61943,180, 61963,
801 .180, 61967,180, 61999,180, 62053,180, 62063,180, 62071,
802 .180, 62077,180, 62089,180, 62093,180, 62099,180, 62117,
803 .180, 62119,180, 62149,180, 62177,180, 62179,180, 62203,
804 .180, 62221,180, 62239,180, 62243,180, 62249,180, 62267,
805 .180, 62299,180, 62303,180, 62321,180, 62327,180, 62333,
806 .180, 62359,180, 62371,180, 62413,180, 62417,180, 62441,
807 .180, 62467,180, 62473,180, 62489,180, 62491,180, 62509,
808 .180, 62537,180, 62551,180, 62569,180, 62581,180, 62593,
809 .180, 62597,180, 62599,180, 62603,180, 62621,180, 62629,
810 .180, 62657,180, 62659,180, 62671,180, 62677,180, 62683,
811 .180, 62687,180, 62699,180, 62707,180, 62749,180, 62753,
812 .180, 62761,180, 62767,180, 62789,180, 62813,180, 62827,
813 .180, 62831,180, 62869,180, 62879,180, 62891,180, 62897,
814 .180, 62903,180, 62947,180, 62953,180, 62971,180, 62977,
815 .180, 62981,180, 62993,180, 63001,180, 63007,180, 63013,
816 .180, 63023,180, 63029,180, 63059,180, 63061,180, 63083,
817 .180, 63089,180, 63091,180, 63103,180, 63119,180, 63131,
818 .180, 63163,180, 63227,180, 63233,180, 63239,180, 63259,
819 .180, 63271,180, 63311,180, 63337,180, 63341,180, 63353,
820 .180, 63367,180, 63373,180, 63397,180, 63409,180, 63413,
821 .180, 63421,180, 63427,180, 63437,180, 63443,180, 63449,
822 .180, 63481,180, 63499,180, 63509,180, 63517,180, 63541,
823 .180, 63551,180, 63559,180, 63569,180, 63601,180, 63607,
824 .180, 63617,180, 63623,180, 63629,180, 63637,180, 63653,
825 .180, 63671,180, 63691,180, 63727,180, 63743,180, 63751,
826 .180, 63763,180, 63787,180, 63821,180, 63827,180, 63847,
827 .180, 63899,180, 63917,180, 63931,180, 63989,180, 63997,
828 .180, 64003,180, 64007,180, 64009,180, 64013,180, 64037,
829 .180, 64067,180, 64087,180, 64093,180, 64133,180, 64139,
830 .180, 64147,180, 64157,180, 64163,180, 64169,180, 64181,
831 .180, 64189,180, 64207,180, 64211,180, 64217,180, 64219,
832 .180, 64223,180, 64247,180, 64261,180, 64273,180, 64297,
833 .180, 64307,180, 64309,180, 64331,180, 64357,180, 64379,
834 .180, 64387,180, 64409,180, 64417,180, 64483,180, 64489,
835 .180, 64493,180, 64513,180, 64531,180, 64553,180, 64591,
836 .180, 64601,180, 64609,180, 64613,180, 64619,180, 64627,
837 .180, 64651,180, 64661,180, 64679,180, 64687,180, 64711,
838 .180, 64717,180, 64727,180, 64739,180, 64741,180, 64751,
839 .180, 64757,180, 64793,180, 64813,180, 64819,180, 64823,
840 .180, 64847,180, 64871,180, 64877,180, 64883,180, 64891,
841 .180, 64921,180, 64927,180, 64931,180, 64933,180, 64949,
842 .180, 64961,180, 64987,180, 65047,180, 65059,180, 65063,
843 .180, 65077,180, 65089,180, 65093,180, 65099,180, 65101,
844 .180, 65119,180, 65131,180, 65137,180, 65147,180, 65159,
845 .180, 65171,180, 65179,180, 65191,180, 65203,180, 65207,
846 .180, 65213,180, 65221,180, 65231,180, 65233,180, 65269,
847 .180, 65311,180, 65323,180, 65339,180, 65347,180, 65369,
848 .180, 65393,180, 65399,180, 65407,180, 65431,180, 65437,
849 .180, 65441,180, 65443,180, 65473,180, 65479,180, 65507,
850 .180, 65527,180, 65533,181, 13,181, 15,181, 33,
851 .181, 61,181, 67,181, 141,181, 151,181, 183,
852 .181, 187,181, 201,181, 207,181, 213,181, 217,
853 .181, 223,181, 225,181, 243,181, 253,181, 255,
854 .181, 277,181, 291,181, 297,181, 301,181, 327,
855 .181, 337,181, 357,181, 375,181, 423,181, 453,
856 .181, 477,181, 511,181, 531,181, 547,181, 553,
857 .181, 561,181, 565,181, 595,181, 607,181, 645/
858 DATA ((l(i,j),i=3,4),j=980,nmax)/
859 .181, 657,181, 663,181, 685,181, 687,181, 697,
860 .181, 745,181, 775,181, 787,181, 823,181, 825,
861 .181, 841,181, 853,181, 865,181, 895,181, 903,
862 .181, 943,181, 963,181, 973,181, 981,181, 1005,
863 .181,1015,181,1021,181,1023,181,1041,181,1051,
864 .181, 1057,181, 1083,181, 1093,181, 1105,181, 1107,
865 .181, 1117,181, 1135,181, 1137,181, 1155,181, 1167,
866 .181, 1191,181, 1197,181, 1221,181, 1233,181, 1237,
867 .181, 1243,181, 1263/
868 DATA ((n(i,j),i=3,4),j=0,489)/
869 .180, 51739,180, 51757,180, 51761,180, 51767,180, 51773,
870 .180, 51791,180, 51817,180, 51833,180, 51859,180, 51871,
871 .180, 51877,180, 51883,180, 51887,180, 51893,180, 51899,
872 .180, 51913,180, 51953,180, 51971,180, 51989,180, 51997,
873 .180, 52009,180, 52013,180, 52033,180, 52043,180, 52051,
874 .180, 52057,180, 52073,180, 52109,180, 52111,180, 52121,
875 .180, 52139,180, 52157,180, 52183,180, 52193,180, 52199,
876 .180, 52211,180, 52219,180, 52229,180, 52237,180, 52241,
877 .180, 52249,180, 52261,180, 52271,180, 52277,180, 52307,
878 .180, 52321,180, 52349,180, 52373,180, 52381,180, 52387,
879 .180, 52393,180, 52411,180, 52429,180, 52439,180, 52451,
880 .180, 52457,180, 52481,180, 52501,180, 52541,180, 52559,
881 .180, 52573,180, 52579,180, 52589,180, 52597,180, 52607,
882 .180, 52613,180, 52627,180, 52631,180, 52649,180, 52657,
883 .180, 52697,180, 52703,180, 52723,180, 52751,180, 52757,
884 .180, 52759,180, 52769,180, 52771,180, 52789,180, 52793,
885 .180, 52811,180, 52817,180, 52829,180, 52859,180, 52879,
886 .180, 52883,180, 52919,180, 52921,180, 52933,180, 52937,
887 .180, 52957,180, 52963,180, 52993,180, 53011,180, 53023,
888 .180, 53027,180, 53077,180, 53087,180, 53089,180, 53093,
889 .180, 53107,180, 53119,180, 53153,180, 53161,180, 53173,
890 .180, 53179,180, 53191,180, 53203,180, 53209,180, 53213,
891 .180, 53219,180, 53221,180, 53227,180, 53233,180, 53243,
892 .180, 53261,180, 53263,180, 53279,180, 53287,180, 53291,
893 .180, 53311,180, 53321,180, 53329,180, 53333,180, 53389,
894 .180, 53401,180, 53411,180, 53429,180, 53443,180, 53453,
895 .180, 53467,180, 53507,180, 53521,180, 53531,180, 53539,
896 .180, 53543,180, 53551,180, 53569,180, 53581,180, 53593,
897 .180, 53597,180, 53623,180, 53629,180, 53641,180, 53647,
898 .180, 53653,180, 53669,180, 53681,180, 53689,180, 53711,
899 .180, 53753,180, 53767,180, 53779,180, 53789,180, 53803,
900 .180, 53821,180, 53861,180, 53867,180, 53887,180, 53893,
901 .180, 53899,180, 53909,180, 53927,180, 53947,180, 53957,
902 .180, 53989,180, 54001,180, 54031,180, 54049,180, 54061,
903 .180, 54077,180, 54127,180, 54131,180, 54187,180, 54197,
904 .180, 54199,180, 54221,180, 54251,180, 54259,180, 54269,
905 .180, 54311,180, 54323,180, 54349,180, 54353,180, 54379,
906 .180, 54397,180, 54419,180, 54427,180, 54433,180, 54439,
907 .180, 54451,180, 54461,180, 54467,180, 54473,180, 54481,
908 .180, 54503,180, 54511,180, 54517,180, 54551,180, 54553,
909 .180, 54571,180, 54581,180, 54587,180, 54613,180, 54629,
910 .180, 54643,180, 54647,180, 54659,180, 54677,180, 54683,
911 .180, 54701,180, 54721,180, 54739,180, 54811,180, 54823,
912 .180, 54829,180, 54833,180, 54839,180, 54869,180, 54871,
913 .180, 54881,180, 54893,180, 54923,180, 54929,180, 54943,
914 .180, 54967,180, 54971,180, 55001,180, 55013,180, 55039,
915 .180, 55043,180, 55049,180, 55067,180, 55069,180, 55079,
916 .180, 55097,180, 55109,180, 55111,180, 55117,180, 55123,
917 .180, 55127,180, 55133,180, 55141,180, 55147,180, 55159,
918 .180, 55193,180, 55201,180, 55247,180, 55273,180, 55279,
919 .180, 55307,180, 55313,180, 55319,180, 55333,180, 55361,
920 .180, 55379,180, 55387,180, 55411,180, 55429,180, 55439,
921 .180, 55447,180, 55453,180, 55469,180, 55487,180, 55517,
922 .180, 55537,180, 55571,180, 55573,180, 55579,180, 55603,
923 .180, 55609,180, 55649,180, 55667,180, 55669,180, 55681,
924 .180, 55691,180, 55697,180, 55729,180, 55741,180, 55757,
925 .180, 55771,180, 55783,180, 55793,180, 55799,180, 55807,
926 .180, 55813,180, 55817,180, 55823,180, 55831,180, 55847,
927 .180, 55859,180, 55861,180, 55879,180, 55889,180, 55957,
928 .180, 55973,180, 55979,180, 55993,180, 56033,180, 56051,
929 .180, 56057,180, 56059,180, 56077,180, 56093,180, 56099,
930 .180, 56111,180, 56129,180, 56131,180, 56143,180, 56161,
931 .180, 56167,180, 56177,180, 56183,180, 56237,180, 56239,
932 .180, 56261,180, 56279,180, 56287,180, 56293,180, 56323,
933 .180, 56327,180, 56329,180, 56351,180, 56353,180, 56357,
934 .180, 56377,180, 56393,180, 56399,180, 56411,180, 56437,
935 .180, 56441,180, 56477,180, 56479,180, 56489,180, 56503,
936 .180, 56509,180, 56521,180, 56533,180, 56539,180, 56551,
937 .180, 56609,180, 56653,180, 56677,180, 56681,180, 56701,
938 .180, 56723,180, 56737,180, 56741,180, 56747,180, 56761,
939 .180, 56827,180, 56839,180, 56843,180, 56849,180, 56887,
940 .180, 56903,180, 56939,180, 56941,180, 56947,180, 56969,
941 .180, 56971,180, 56983,180, 57049,180, 57077,180, 57091,
942 .180, 57121,180, 57133,180, 57137,180, 57149,180, 57169,
943 .180, 57179,180, 57199,180, 57209,180, 57239,180, 57251,
944 .180, 57277,180, 57281,180, 57293,180, 57311,180, 57337,
945 .180, 57359,180, 57367,180, 57377,180, 57389,180, 57403,
946 .180, 57407,180, 57409,180, 57413,180, 57419,180, 57431,
947 .180, 57451,180, 57463,180, 57499,180, 57511,180, 57521,
948 .180, 57529,180, 57539,180, 57577,180, 57581,180, 57667,
949 .180, 57679,180, 57683,180, 57689,180, 57731,180, 57767,
950 .180, 57781,180, 57787,180, 57799,180, 57823,180, 57847,
951 .180, 57851,180, 57853,180, 57883,180, 57899,180, 57919,
952 .180, 57931,180, 57949,180, 57953,180, 57959,180, 57961,
953 .180, 57983,180, 57997,180, 58009,180, 58037,180, 58039,
954 .180, 58043,180, 58049,180, 58087,180, 58091,180, 58093,
955 .180, 58123,180, 58127,180, 58201,180, 58211,180, 58229,
956 .180, 58243,180, 58277,180, 58303,180, 58313,180, 58333,
957 .180, 58367,180, 58373,180, 58393,180, 58397,180, 58403,
958 .180, 58411,180, 58417,180, 58421,180, 58439,180, 58457,
959 .180, 58481,180, 58483,180, 58499,180, 58523,180, 58537,
960 .180, 58543,180, 58549,180, 58553,180, 58631,180, 58661,
961 .180, 58667,180, 58669,180, 58679,180, 58697,180, 58723,
962 .180, 58733,180, 58739,180, 58751,180, 58787,180, 58789,
963 .180, 58823,180, 58829,180, 58841,180, 58849,180, 58859,
964 .180, 58871,180, 58873,180, 58877,180, 58879,180, 58901,
965 .180, 58903,180, 58907,180, 58919,180, 58927,180, 58933,
966 .180, 59009,180, 59011,180, 59027,180, 59041,180, 59051/
967 DATA ((n(i,j),i=3,4),j=490,979)/
968 .180, 59069,180, 59071,180, 59087,180, 59101,180, 59107,
969 .180, 59113,180, 59153,180, 59173,180, 59183,180, 59207,
970 .180, 59209,180, 59219,180, 59233,180, 59251,180, 59257,
971 .180, 59263,180, 59267,180, 59279,180, 59293,180, 59321,
972 .180, 59327,180, 59333,180, 59347,180, 59359,180, 59389,
973 .180, 59401,180, 59423,180, 59431,180, 59453,180, 59479,
974 .180, 59509,180, 59513,180, 59519,180, 59521,180, 59543,
975 .180, 59569,180, 59591,180, 59621,180, 59627,180, 59633,
976 .180, 59659,180, 59671,180, 59681,180, 59699,180, 59713,
977 .180, 59719,180, 59743,180, 59759,180, 59783,180, 59789,
978 .180, 59801,180, 59807,180, 59827,180, 59831,180, 59849,
979 .180, 59863,180, 59879,180, 59891,180, 59893,180, 59929,
980 .180, 59939,180, 59981,180, 59989,180, 59993,180, 59999,
981 .180, 60031,180, 60037,180, 60061,180, 60067,180, 60073,
982 .180, 60103,180, 60149,180, 60161,180, 60173,180, 60179,
983 .180, 60193,180, 60217,180, 60229,180, 60247,180, 60251,
984 .180, 60283,180, 60329,180, 60331,180, 60341,180, 60361,
985 .180, 60377,180, 60397,180, 60403,180, 60419,180, 60439,
986 .180, 60467,180, 60473,180, 60499,180, 60523,180, 60553,
987 .180, 60557,180, 60559,180, 60569,180, 60581,180, 60587,
988 .180, 60593,180, 60601,180, 60611,180, 60613,180, 60619,
989 .180, 60643,180, 60647,180, 60667,180, 60671,180, 60713,
990 .180, 60737,180, 60749,180, 60763,180, 60769,180, 60787,
991 .180, 60797,180, 60811,180, 60823,180, 60829,180, 60847,
992 .180, 60851,180, 60853,180, 60881,180, 60887,180, 60889,
993 .180, 60913,180, 60919,180, 60929,180, 60941,180, 60943,
994 .180, 60971,180, 60973,180, 60977,180, 60997,180, 61001,
995 .180, 61013,180, 61019,180, 61039,180, 61043,180, 61049,
996 .180, 61063,180, 61081,180, 61109,180, 61111,180, 61133,
997 .180, 61141,180, 61181,180, 61187,180, 61213,180, 61217,
998 .180, 61229,180, 61231,180, 61271,180, 61273,180, 61279,
999 .180, 61283,180, 61297,180, 61307,180, 61313,180, 61321,
1000 .180, 61337,180, 61339,180, 61351,180, 61357,180, 61393,
1001 .180, 61397,180, 61403,180, 61409,180, 61427,180, 61433,
1002 .180, 61451,180, 61489,180, 61511,180, 61519,180, 61529,
1003 .180, 61537,180, 61543,180, 61549,180, 61559,180, 61571,
1004 .180, 61577,180, 61579,180, 61621,180, 61631,180, 61651,
1005 .180, 61669,180, 61679,180, 61697,180, 61711,180, 61721,
1006 .180, 61747,180, 61763,180, 61787,180, 61789,180, 61799,
1007 .180, 61801,180, 61811,180, 61831,180, 61843,180, 61879,
1008 .180, 61897,180, 61901,180, 61907,180, 61943,180, 61963,
1009 .180, 61967,180, 61999,180, 62053,180, 62063,180, 62071,
1010 .180, 62077,180, 62089,180, 62093,180, 62099,180, 62117,
1011 .180, 62119,180, 62149,180, 62177,180, 62179,180, 62203,
1012 .180, 62221,180, 62239,180, 62243,180, 62249,180, 62267,
1013 .180, 62299,180, 62303,180, 62321,180, 62327,180, 62333,
1014 .180, 62359,180, 62371,180, 62413,180, 62417,180, 62441,
1015 .180, 62467,180, 62473,180, 62489,180, 62491,180, 62509,
1016 .180, 62537,180, 62551,180, 62569,180, 62581,180, 62593,
1017 .180, 62597,180, 62599,180, 62603,180, 62621,180, 62629,
1018 .180, 62657,180, 62659,180, 62671,180, 62677,180, 62683,
1019 .180, 62687,180, 62699,180, 62707,180, 62749,180, 62753,
1020 .180, 62761,180, 62767,180, 62789,180, 62813,180, 62827,
1021 .180, 62831,180, 62869,180, 62879,180, 62891,180, 62897,
1022 .180, 62903,180, 62947,180, 62953,180, 62971,180, 62977,
1023 .180, 62981,180, 62993,180, 63001,180, 63007,180, 63013,
1024 .180, 63023,180, 63029,180, 63059,180, 63061,180, 63083,
1025 .180, 63089,180, 63091,180, 63103,180, 63119,180, 63131,
1026 .180, 63163,180, 63227,180, 63233,180, 63239,180, 63259,
1027 .180, 63271,180, 63311,180, 63337,180, 63341,180, 63353,
1028 .180, 63367,180, 63373,180, 63397,180, 63409,180, 63413,
1029 .180, 63421,180, 63427,180, 63437,180, 63443,180, 63449,
1030 .180, 63481,180, 63499,180, 63509,180, 63517,180, 63541,
1031 .180, 63551,180, 63559,180, 63569,180, 63601,180, 63607,
1032 .180, 63617,180, 63623,180, 63629,180, 63637,180, 63653,
1033 .180, 63671,180, 63691,180, 63727,180, 63743,180, 63751,
1034 .180, 63763,180, 63787,180, 63821,180, 63827,180, 63847,
1035 .180, 63899,180, 63917,180, 63931,180, 63989,180, 63997,
1036 .180, 64003,180, 64007,180, 64009,180, 64013,180, 64037,
1037 .180, 64067,180, 64087,180, 64093,180, 64133,180, 64139,
1038 .180, 64147,180, 64157,180, 64163,180, 64169,180, 64181,
1039 .180, 64189,180, 64207,180, 64211,180, 64217,180, 64219,
1040 .180, 64223,180, 64247,180, 64261,180, 64273,180, 64297,
1041 .180, 64307,180, 64309,180, 64331,180, 64357,180, 64379,
1042 .180, 64387,180, 64409,180, 64417,180, 64483,180, 64489,
1043 .180, 64493,180, 64513,180, 64531,180, 64553,180, 64591,
1044 .180, 64601,180, 64609,180, 64613,180, 64619,180, 64627,
1045 .180, 64651,180, 64661,180, 64679,180, 64687,180, 64711,
1046 .180, 64717,180, 64727,180, 64739,180, 64741,180, 64751,
1047 .180, 64757,180, 64793,180, 64813,180, 64819,180, 64823,
1048 .180, 64847,180, 64871,180, 64877,180, 64883,180, 64891,
1049 .180, 64921,180, 64927,180, 64931,180, 64933,180, 64949,
1050 .180, 64961,180, 64987,180, 65047,180, 65059,180, 65063,
1051 .180, 65077,180, 65089,180, 65093,180, 65099,180, 65101,
1052 .180, 65119,180, 65131,180, 65137,180, 65147,180, 65159,
1053 .180, 65171,180, 65179,180, 65191,180, 65203,180, 65207,
1054 .180, 65213,180, 65221,180, 65231,180, 65233,180, 65269,
1055 .180, 65311,180, 65323,180, 65339,180, 65347,180, 65369,
1056 .180, 65393,180, 65399,180, 65407,180, 65431,180, 65437,
1057 .180, 65441,180, 65443,180, 65473,180, 65479,180, 65507,
1058 .180, 65527,180, 65533,181, 13,181, 15,181, 33,
1059 .181, 61,181, 67,181, 141,181, 151,181, 183,
1060 .181, 187,181, 201,181, 207,181, 213,181, 217,
1061 .181, 223,181, 225,181, 243,181, 253,181, 255,
1062 .181, 277,181, 291,181, 297,181, 301,181, 327,
1063 .181, 337,181, 357,181, 375,181, 423,181, 453,
1064 .181, 477,181, 511,181, 531,181, 547,181, 553,
1065 .181, 561,181, 565,181, 595,181, 607,181, 645/
1066 DATA ((n(i,j),i=3,4),j=980,nmax)/
1067 .181, 657,181, 663,181, 685,181, 687,181, 697,
1068 .181, 745,181, 775,181, 787,181, 823,181, 825,
1069 .181, 841,181, 853,181, 865,181, 895,181, 903,
1070 .181, 943,181, 963,181, 973,181, 981,181, 1005,
1071 .181, 1015,181, 1021,181, 1023,181, 1041,181, 1051,
1072 .181, 1057,181, 1083,181, 1093,181, 1105,181, 1107,
1073 .181, 1117,181, 1135,181, 1137,181, 1155,181, 1167,
1074 .181, 1191,181, 1197,181, 1221,181, 1233,181, 1237,
1075 .181, 1243,181, 1263/