real*8 function prng_next(me) implicit none integer me c c Calling sequence: c = prng_next ( ) c = vprng ( , , ) c c This code is based on a sequential algorithm provided by Mal Kalos. c This version uses a single 64-bit word to store the initial seeds c and additive constants. c A 64-bit floating point number is returned. c c The array "iparam" is full-word aligned, being padded by zeros to c let each generator be on a subpage boundary. c That is, rows 1 and 2 in a given column of the array are for real, c rows 3-16 are bogus. c c July 12, 1993: double the number of sequences. We should have been c using two packets per seed, rather than four c October 31, 1993: merge the two arrays of seeds and constants, c and switch to 64-bit arithmetic. c June 1994: port to RS6K. Internal state is kept as 2 64-bit integers c The ishft function is defined only on 32-bit integers, so we will c shift numbers by dividing by 2**11 and then adding on 2**53-1. c c November 1994: ishift now works on 64-bit numbers (though it gives a c warning). Thus we go back to using it. John Zollweg also added the c vprng() routine to return vectors of real*8 random numbers. c real*8 recip53 parameter ( recip53 = 2.0D0**(-53) ) integer*8 two parameter ( two = 2**11) integer*8 m,ishift c parameter ( m = 34522712143931 ) ! 11**13 c parameter ( ishift = 9007199254740991 ) ! 2**53-1 integer nmax integer*8 iparam parameter(nmax=1021) common/ksrprng/iparam(2,0:nmax) integer*8 next crc g77 doesn't support integer*8 constants m = dint(34522712143931.0d0) ishift = dint(9007199254740991.0d0) c RS6K porting note: ishift now takes 64-bit integers , with a warning if ( 0.le.me .and. me.le.nmax ) then next = iparam(1,me)*m + iparam(2,me) iparam(1,me) = next prng_next = recip53 * ishft( next, -11 ) else prng_next=-1.0D0 endif end c c vprng(me, rn, num) Get a vector of random numbers c subroutine vprng(me,rn,num) real*8 recip53, rn(1) parameter ( recip53 = 2.0D0**(-53) ) integer*8 m,iparam c parameter ( m = 34522712143931 ) ! 11**13 integer nmax, num, me parameter(nmax=1021) common/ksrprng/iparam(2,0:nmax) integer*8 next crc g77 doesn't support integer*8 constants m = dint(34522712143931.0d0) if ( 0.le.me .and. me.le.nmax ) then do 1 i=1,num next = iparam(1,me)*m + iparam(2,me) iparam(1,me) = next rn(i) = recip53 * ishft( next, -11 ) 1 continue else rn(1)=-1.0D0 endif return end c c prng_chkpnt Get the current state of a generator c c Calling sequence: c logical prng_chkpnt, status c status = prng_chkpnt (me, iseed) where c c me is the particular generator whose state is being gotten c seed is an 4-element integer array where the "l"-values will be saved c logical function prng_chkpnt (me, iseed) implicit none integer me integer*8 iseed integer nmax integer*8 iparam parameter(nmax=1021) common/ksrprng/iparam(2,0:nmax) if (me .lt. 0 .or. me .gt. nmax) then prng_chkpnt=.false. else prng_chkpnt=.true. iseed=iparam(1,me) endif end c c prng_restart Restart generator from a saved state c c Calling sequence: c logical prng_restart, status c status = prng_restart (me, iseed) where c c me is the particular generator being restarted c iseed is a 8-byte integer containing the "l"-values c logical function prng_restart (me, iseed) implicit none integer me integer*8 iseed integer nmax integer*8 iparam parameter(nmax=1021) common/ksrprng/iparam(2,0:nmax) if (me .lt. 0 .or. me .gt. nmax) then prng_restart=.false. return else prng_restart=.true. iparam(1,me)=iseed endif end block data prngblk parameter(nmax=1021) integer*8 iparam common/ksrprng/iparam(2,0:nmax) data (iparam(1,i),iparam(2,i),i= 0, 29) / + 11848219, 11848219, 11848237, 11848237, 11848241, 11848241, + 11848247, 11848247, 11848253, 11848253, 11848271, 11848271, + 11848297, 11848297, 11848313, 11848313, 11848339, 11848339, + 11848351, 11848351, 11848357, 11848357, 11848363, 11848363, + 11848367, 11848367, 11848373, 11848373, 11848379, 11848379, + 11848393, 11848393, 11848433, 11848433, 11848451, 11848451, + 11848469, 11848469, 11848477, 11848477, 11848489, 11848489, + 11848493, 11848493, 11848513, 11848513, 11848523, 11848523, + 11848531, 11848531, 11848537, 11848537, 11848553, 11848553, + 11848589, 11848589, 11848591, 11848591, 11848601, 11848601 / data (iparam(1,i),iparam(2,i),i= 30, 59) / + 11848619, 11848619, 11848637, 11848637, 11848663, 11848663, + 11848673, 11848673, 11848679, 11848679, 11848691, 11848691, + 11848699, 11848699, 11848709, 11848709, 11848717, 11848717, + 11848721, 11848721, 11848729, 11848729, 11848741, 11848741, + 11848751, 11848751, 11848757, 11848757, 11848787, 11848787, + 11848801, 11848801, 11848829, 11848829, 11848853, 11848853, + 11848861, 11848861, 11848867, 11848867, 11848873, 11848873, + 11848891, 11848891, 11848909, 11848909, 11848919, 11848919, + 11848931, 11848931, 11848937, 11848937, 11848961, 11848961, + 11848981, 11848981, 11849021, 11849021, 11849039, 11849039 / data (iparam(1,i),iparam(2,i),i= 60, 89) / + 11849053, 11849053, 11849059, 11849059, 11849069, 11849069, + 11849077, 11849077, 11849087, 11849087, 11849093, 11849093, + 11849107, 11849107, 11849111, 11849111, 11849129, 11849129, + 11849137, 11849137, 11849177, 11849177, 11849183, 11849183, + 11849203, 11849203, 11849231, 11849231, 11849237, 11849237, + 11849239, 11849239, 11849249, 11849249, 11849251, 11849251, + 11849269, 11849269, 11849273, 11849273, 11849291, 11849291, + 11849297, 11849297, 11849309, 11849309, 11849339, 11849339, + 11849359, 11849359, 11849363, 11849363, 11849399, 11849399, + 11849401, 11849401, 11849413, 11849413, 11849417, 11849417 / data (iparam(1,i),iparam(2,i),i= 90, 119) / + 11849437, 11849437, 11849443, 11849443, 11849473, 11849473, + 11849491, 11849491, 11849503, 11849503, 11849507, 11849507, + 11849557, 11849557, 11849567, 11849567, 11849569, 11849569, + 11849573, 11849573, 11849587, 11849587, 11849599, 11849599, + 11849633, 11849633, 11849641, 11849641, 11849653, 11849653, + 11849659, 11849659, 11849671, 11849671, 11849683, 11849683, + 11849689, 11849689, 11849693, 11849693, 11849699, 11849699, + 11849701, 11849701, 11849707, 11849707, 11849713, 11849713, + 11849723, 11849723, 11849741, 11849741, 11849743, 11849743, + 11849759, 11849759, 11849767, 11849767, 11849771, 11849771 / data (iparam(1,i),iparam(2,i),i= 120, 149) / + 11849791, 11849791, 11849801, 11849801, 11849809, 11849809, + 11849813, 11849813, 11849869, 11849869, 11849881, 11849881, + 11849891, 11849891, 11849909, 11849909, 11849923, 11849923, + 11849933, 11849933, 11849947, 11849947, 11849987, 11849987, + 11850001, 11850001, 11850011, 11850011, 11850019, 11850019, + 11850023, 11850023, 11850031, 11850031, 11850049, 11850049, + 11850061, 11850061, 11850073, 11850073, 11850077, 11850077, + 11850103, 11850103, 11850109, 11850109, 11850121, 11850121, + 11850127, 11850127, 11850133, 11850133, 11850149, 11850149, + 11850161, 11850161, 11850169, 11850169, 11850191, 11850191 / data (iparam(1,i),iparam(2,i),i= 150, 179) / + 11850233, 11850233, 11850247, 11850247, 11850259, 11850259, + 11850269, 11850269, 11850283, 11850283, 11850301, 11850301, + 11850341, 11850341, 11850347, 11850347, 11850367, 11850367, + 11850373, 11850373, 11850379, 11850379, 11850389, 11850389, + 11850407, 11850407, 11850427, 11850427, 11850437, 11850437, + 11850469, 11850469, 11850481, 11850481, 11850511, 11850511, + 11850529, 11850529, 11850541, 11850541, 11850557, 11850557, + 11850607, 11850607, 11850611, 11850611, 11850667, 11850667, + 11850677, 11850677, 11850679, 11850679, 11850701, 11850701, + 11850731, 11850731, 11850739, 11850739, 11850749, 11850749 / data (iparam(1,i),iparam(2,i),i= 180, 209) / + 11850791, 11850791, 11850803, 11850803, 11850829, 11850829, + 11850833, 11850833, 11850859, 11850859, 11850877, 11850877, + 11850899, 11850899, 11850907, 11850907, 11850913, 11850913, + 11850919, 11850919, 11850931, 11850931, 11850941, 11850941, + 11850947, 11850947, 11850953, 11850953, 11850961, 11850961, + 11850983, 11850983, 11850991, 11850991, 11850997, 11850997, + 11851031, 11851031, 11851033, 11851033, 11851051, 11851051, + 11851061, 11851061, 11851067, 11851067, 11851093, 11851093, + 11851109, 11851109, 11851123, 11851123, 11851127, 11851127, + 11851139, 11851139, 11851157, 11851157, 11851163, 11851163 / data (iparam(1,i),iparam(2,i),i= 210, 239) / + 11851181, 11851181, 11851201, 11851201, 11851219, 11851219, + 11851291, 11851291, 11851303, 11851303, 11851309, 11851309, + 11851313, 11851313, 11851319, 11851319, 11851349, 11851349, + 11851351, 11851351, 11851361, 11851361, 11851373, 11851373, + 11851403, 11851403, 11851409, 11851409, 11851423, 11851423, + 11851447, 11851447, 11851451, 11851451, 11851481, 11851481, + 11851493, 11851493, 11851519, 11851519, 11851523, 11851523, + 11851529, 11851529, 11851547, 11851547, 11851549, 11851549, + 11851559, 11851559, 11851577, 11851577, 11851589, 11851589, + 11851591, 11851591, 11851597, 11851597, 11851603, 11851603 / data (iparam(1,i),iparam(2,i),i= 240, 269) / + 11851607, 11851607, 11851613, 11851613, 11851621, 11851621, + 11851627, 11851627, 11851639, 11851639, 11851673, 11851673, + 11851681, 11851681, 11851727, 11851727, 11851753, 11851753, + 11851759, 11851759, 11851787, 11851787, 11851793, 11851793, + 11851799, 11851799, 11851813, 11851813, 11851841, 11851841, + 11851859, 11851859, 11851867, 11851867, 11851891, 11851891, + 11851909, 11851909, 11851919, 11851919, 11851927, 11851927, + 11851933, 11851933, 11851949, 11851949, 11851967, 11851967, + 11851997, 11851997, 11852017, 11852017, 11852051, 11852051, + 11852053, 11852053, 11852059, 11852059, 11852083, 11852083 / data (iparam(1,i),iparam(2,i),i= 270, 299) / + 11852089, 11852089, 11852129, 11852129, 11852147, 11852147, + 11852149, 11852149, 11852161, 11852161, 11852171, 11852171, + 11852177, 11852177, 11852209, 11852209, 11852221, 11852221, + 11852237, 11852237, 11852251, 11852251, 11852263, 11852263, + 11852273, 11852273, 11852279, 11852279, 11852287, 11852287, + 11852293, 11852293, 11852297, 11852297, 11852303, 11852303, + 11852311, 11852311, 11852327, 11852327, 11852339, 11852339, + 11852341, 11852341, 11852359, 11852359, 11852369, 11852369, + 11852437, 11852437, 11852453, 11852453, 11852459, 11852459, + 11852473, 11852473, 11852513, 11852513, 11852531, 11852531 / data (iparam(1,i),iparam(2,i),i= 300, 329) / + 11852537, 11852537, 11852539, 11852539, 11852557, 11852557, + 11852573, 11852573, 11852579, 11852579, 11852591, 11852591, + 11852609, 11852609, 11852611, 11852611, 11852623, 11852623, + 11852641, 11852641, 11852647, 11852647, 11852657, 11852657, + 11852663, 11852663, 11852717, 11852717, 11852719, 11852719, + 11852741, 11852741, 11852759, 11852759, 11852767, 11852767, + 11852773, 11852773, 11852803, 11852803, 11852807, 11852807, + 11852809, 11852809, 11852831, 11852831, 11852833, 11852833, + 11852837, 11852837, 11852857, 11852857, 11852873, 11852873, + 11852879, 11852879, 11852891, 11852891, 11852917, 11852917 / data (iparam(1,i),iparam(2,i),i= 330, 359) / + 11852921, 11852921, 11852957, 11852957, 11852959, 11852959, + 11852969, 11852969, 11852983, 11852983, 11852989, 11852989, + 11853001, 11853001, 11853013, 11853013, 11853019, 11853019, + 11853031, 11853031, 11853089, 11853089, 11853133, 11853133, + 11853157, 11853157, 11853161, 11853161, 11853181, 11853181, + 11853203, 11853203, 11853217, 11853217, 11853221, 11853221, + 11853227, 11853227, 11853241, 11853241, 11853307, 11853307, + 11853319, 11853319, 11853323, 11853323, 11853329, 11853329, + 11853367, 11853367, 11853383, 11853383, 11853419, 11853419, + 11853421, 11853421, 11853427, 11853427, 11853449, 11853449 / data (iparam(1,i),iparam(2,i),i= 360, 389) / + 11853451, 11853451, 11853463, 11853463, 11853529, 11853529, + 11853557, 11853557, 11853571, 11853571, 11853601, 11853601, + 11853613, 11853613, 11853617, 11853617, 11853629, 11853629, + 11853649, 11853649, 11853659, 11853659, 11853679, 11853679, + 11853689, 11853689, 11853719, 11853719, 11853731, 11853731, + 11853757, 11853757, 11853761, 11853761, 11853773, 11853773, + 11853791, 11853791, 11853817, 11853817, 11853839, 11853839, + 11853847, 11853847, 11853857, 11853857, 11853869, 11853869, + 11853883, 11853883, 11853887, 11853887, 11853889, 11853889, + 11853893, 11853893, 11853899, 11853899, 11853911, 11853911 / data (iparam(1,i),iparam(2,i),i= 390, 419) / + 11853931, 11853931, 11853943, 11853943, 11853979, 11853979, + 11853991, 11853991, 11854001, 11854001, 11854009, 11854009, + 11854019, 11854019, 11854057, 11854057, 11854061, 11854061, + 11854147, 11854147, 11854159, 11854159, 11854163, 11854163, + 11854169, 11854169, 11854211, 11854211, 11854247, 11854247, + 11854261, 11854261, 11854267, 11854267, 11854279, 11854279, + 11854303, 11854303, 11854327, 11854327, 11854331, 11854331, + 11854333, 11854333, 11854363, 11854363, 11854379, 11854379, + 11854399, 11854399, 11854411, 11854411, 11854429, 11854429, + 11854433, 11854433, 11854439, 11854439, 11854441, 11854441 / data (iparam(1,i),iparam(2,i),i= 420, 449) / + 11854463, 11854463, 11854477, 11854477, 11854489, 11854489, + 11854517, 11854517, 11854519, 11854519, 11854523, 11854523, + 11854529, 11854529, 11854567, 11854567, 11854571, 11854571, + 11854573, 11854573, 11854603, 11854603, 11854607, 11854607, + 11854681, 11854681, 11854691, 11854691, 11854709, 11854709, + 11854723, 11854723, 11854757, 11854757, 11854783, 11854783, + 11854793, 11854793, 11854813, 11854813, 11854847, 11854847, + 11854853, 11854853, 11854873, 11854873, 11854877, 11854877, + 11854883, 11854883, 11854891, 11854891, 11854897, 11854897, + 11854901, 11854901, 11854919, 11854919, 11854937, 11854937 / data (iparam(1,i),iparam(2,i),i= 450, 479) / + 11854961, 11854961, 11854963, 11854963, 11854979, 11854979, + 11855003, 11855003, 11855017, 11855017, 11855023, 11855023, + 11855029, 11855029, 11855033, 11855033, 11855111, 11855111, + 11855141, 11855141, 11855147, 11855147, 11855149, 11855149, + 11855159, 11855159, 11855177, 11855177, 11855203, 11855203, + 11855213, 11855213, 11855219, 11855219, 11855231, 11855231, + 11855267, 11855267, 11855269, 11855269, 11855303, 11855303, + 11855309, 11855309, 11855321, 11855321, 11855329, 11855329, + 11855339, 11855339, 11855351, 11855351, 11855353, 11855353, + 11855357, 11855357, 11855359, 11855359, 11855381, 11855381 / data (iparam(1,i),iparam(2,i),i= 480, 509) / + 11855383, 11855383, 11855387, 11855387, 11855399, 11855399, + 11855407, 11855407, 11855413, 11855413, 11855489, 11855489, + 11855491, 11855491, 11855507, 11855507, 11855521, 11855521, + 11855531, 11855531, 11855549, 11855549, 11855551, 11855551, + 11855567, 11855567, 11855581, 11855581, 11855587, 11855587, + 11855593, 11855593, 11855633, 11855633, 11855653, 11855653, + 11855663, 11855663, 11855687, 11855687, 11855689, 11855689, + 11855699, 11855699, 11855713, 11855713, 11855731, 11855731, + 11855737, 11855737, 11855743, 11855743, 11855747, 11855747, + 11855759, 11855759, 11855773, 11855773, 11855801, 11855801 / data (iparam(1,i),iparam(2,i),i= 510, 539) / + 11855807, 11855807, 11855813, 11855813, 11855827, 11855827, + 11855839, 11855839, 11855869, 11855869, 11855881, 11855881, + 11855903, 11855903, 11855911, 11855911, 11855933, 11855933, + 11855959, 11855959, 11855989, 11855989, 11855993, 11855993, + 11855999, 11855999, 11856001, 11856001, 11856023, 11856023, + 11856049, 11856049, 11856071, 11856071, 11856101, 11856101, + 11856107, 11856107, 11856113, 11856113, 11856139, 11856139, + 11856151, 11856151, 11856161, 11856161, 11856179, 11856179, + 11856193, 11856193, 11856199, 11856199, 11856223, 11856223, + 11856239, 11856239, 11856263, 11856263, 11856269, 11856269 / data (iparam(1,i),iparam(2,i),i= 540, 569) / + 11856281, 11856281, 11856287, 11856287, 11856307, 11856307, + 11856311, 11856311, 11856329, 11856329, 11856343, 11856343, + 11856359, 11856359, 11856371, 11856371, 11856373, 11856373, + 11856409, 11856409, 11856419, 11856419, 11856461, 11856461, + 11856469, 11856469, 11856473, 11856473, 11856479, 11856479, + 11856511, 11856511, 11856517, 11856517, 11856541, 11856541, + 11856547, 11856547, 11856553, 11856553, 11856583, 11856583, + 11856629, 11856629, 11856641, 11856641, 11856653, 11856653, + 11856659, 11856659, 11856673, 11856673, 11856697, 11856697, + 11856709, 11856709, 11856727, 11856727, 11856731, 11856731 / data (iparam(1,i),iparam(2,i),i= 570, 599) / + 11856763, 11856763, 11856809, 11856809, 11856811, 11856811, + 11856821, 11856821, 11856841, 11856841, 11856857, 11856857, + 11856877, 11856877, 11856883, 11856883, 11856899, 11856899, + 11856919, 11856919, 11856947, 11856947, 11856953, 11856953, + 11856979, 11856979, 11857003, 11857003, 11857033, 11857033, + 11857037, 11857037, 11857039, 11857039, 11857049, 11857049, + 11857061, 11857061, 11857067, 11857067, 11857073, 11857073, + 11857081, 11857081, 11857091, 11857091, 11857093, 11857093, + 11857099, 11857099, 11857123, 11857123, 11857127, 11857127, + 11857147, 11857147, 11857151, 11857151, 11857193, 11857193 / data (iparam(1,i),iparam(2,i),i= 600, 629) / + 11857217, 11857217, 11857229, 11857229, 11857243, 11857243, + 11857249, 11857249, 11857267, 11857267, 11857277, 11857277, + 11857291, 11857291, 11857303, 11857303, 11857309, 11857309, + 11857327, 11857327, 11857331, 11857331, 11857333, 11857333, + 11857361, 11857361, 11857367, 11857367, 11857369, 11857369, + 11857393, 11857393, 11857399, 11857399, 11857409, 11857409, + 11857421, 11857421, 11857423, 11857423, 11857451, 11857451, + 11857453, 11857453, 11857457, 11857457, 11857477, 11857477, + 11857481, 11857481, 11857493, 11857493, 11857499, 11857499, + 11857519, 11857519, 11857523, 11857523, 11857529, 11857529 / data (iparam(1,i),iparam(2,i),i= 630, 659) / + 11857543, 11857543, 11857561, 11857561, 11857589, 11857589, + 11857591, 11857591, 11857613, 11857613, 11857621, 11857621, + 11857661, 11857661, 11857667, 11857667, 11857693, 11857693, + 11857697, 11857697, 11857709, 11857709, 11857711, 11857711, + 11857751, 11857751, 11857753, 11857753, 11857759, 11857759, + 11857763, 11857763, 11857777, 11857777, 11857787, 11857787, + 11857793, 11857793, 11857801, 11857801, 11857817, 11857817, + 11857819, 11857819, 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