simplified halto procedure (still needs testing)
This commit is contained in:
Martin Diehl
parent
98df2d1427
commit
ae27660e86
620
src/math.f90
620
src/math.f90
|
|
@ -161,10 +161,8 @@ module math
|
|||
math_rotate_forward3333, &
|
||||
math_limit
|
||||
private :: &
|
||||
halton, &
|
||||
halton_memory, &
|
||||
halton_ndim_set, &
|
||||
halton_seed_set
|
||||
math_check, &
|
||||
halton
|
||||
|
||||
contains
|
||||
|
||||
|
|
@ -217,8 +215,7 @@ subroutine math_init
|
|||
|
||||
call random_seed(put = randInit)
|
||||
|
||||
call halton_seed_set(int(randInit(1), pInt))
|
||||
call halton_ndim_set(3_pInt)
|
||||
randTest = halton(4,seed = randTest(1))
|
||||
|
||||
call math_check()
|
||||
|
||||
|
|
@ -283,7 +280,7 @@ subroutine math_check
|
|||
endif
|
||||
|
||||
! +++ check rotation sense of q and R +++
|
||||
call halton(3_pInt,v) ! random vector
|
||||
v = halton(3_pInt) ! random vector
|
||||
R = math_qToR(q)
|
||||
if (any(abs(math_mul33x3(R,v) - math_qRot(q,v)) > tol_math_check)) then
|
||||
write (error_msg, '(a)' ) 'R(q)*v has different sense than q*v'
|
||||
|
|
@ -1237,7 +1234,7 @@ function math_qRand()
|
|||
real(pReal), dimension(4) :: math_qRand
|
||||
real(pReal), dimension(3) :: rnd
|
||||
|
||||
call halton(3_pInt,rnd)
|
||||
rnd = halton(3_pInt)
|
||||
math_qRand = [cos(2.0_pReal*PI*rnd(1))*sqrt(rnd(3)), &
|
||||
sin(2.0_pReal*PI*rnd(2))*sqrt(1.0_pReal-rnd(3)), &
|
||||
cos(2.0_pReal*PI*rnd(2))*sqrt(1.0_pReal-rnd(3)), &
|
||||
|
|
@ -1760,7 +1757,7 @@ function math_sampleRandomOri()
|
|||
implicit none
|
||||
real(pReal), dimension(3) :: math_sampleRandomOri, rnd
|
||||
|
||||
call halton(3_pInt,rnd)
|
||||
rnd = halton(3_pInt)
|
||||
math_sampleRandomOri = [rnd(1)*2.0_pReal*PI, &
|
||||
acos(2.0_pReal*rnd(2)-1.0_pReal), &
|
||||
rnd(3)*2.0_pReal*PI]
|
||||
|
|
@ -1793,7 +1790,7 @@ function math_sampleGaussOri(center,FWHM)
|
|||
cosScatter = cos(scatter)
|
||||
|
||||
do
|
||||
call halton(5_pInt,rnd)
|
||||
rnd = halton(5_pInt)
|
||||
rnd(1:3) = 2.0_pReal*rnd(1:3)-1.0_pReal ! expand 1:3 to range [-1,+1]
|
||||
disturb = [ scatter * rnd(1), & ! phi1
|
||||
sign(1.0_pReal,rnd(2))*acos(cosScatter+(1.0_pReal-cosScatter)*rnd(4)), & ! Phi
|
||||
|
|
@ -1853,7 +1850,7 @@ function math_sampleFiberOri(alpha,beta,FWHM)
|
|||
|
||||
! ---# rotation matrix about fiber axis (random angle) #---
|
||||
do
|
||||
call halton(6_pInt,rnd)
|
||||
rnd = halton(6_pInt)
|
||||
fRot = math_EulerAxisAngleToR(fiberInS,rnd(1)*2.0_pReal*pi)
|
||||
|
||||
! ---# rotation about random axis perpend to fiber #---
|
||||
|
|
@ -1909,7 +1906,7 @@ real(pReal) function math_sampleGaussVar(meanvalue, stddev, width)
|
|||
myWidth = merge(width,3.0_pReal,present(width)) ! use +-3*sigma as default value for scatter if not given
|
||||
|
||||
do
|
||||
call halton(2_pInt, rnd)
|
||||
rnd = halton(2_pInt)
|
||||
scatter = myWidth * (2.0_pReal * rnd(1) - 1.0_pReal)
|
||||
if (rnd(2) <= exp(-0.5_pReal * scatter ** 2.0_pReal)) exit ! test if scattered value is drawn
|
||||
enddo
|
||||
|
|
@ -2286,157 +2283,238 @@ pure function math_invariantsSym33(m)
|
|||
end function math_invariantsSym33
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief computes the next element in the Halton sequence.
|
||||
!-------------------------------------------------------------------------------------------------
|
||||
!> @brief computes an element of a Halton sequence.
|
||||
!> @details Only the absolute value of SEED is considered. SEED = 0 is allowed, and returns R = 0.
|
||||
!> @details Halton Bases should be distinct prime numbers. This routine only checks that each base
|
||||
!> @details is greater than 1.
|
||||
!> @details Reference:
|
||||
!> @details J.H. Halton: On the efficiency of certain quasi-random sequences of points in evaluating
|
||||
!> @details multi-dimensional integrals, Numerische Mathematik, Volume 2, pages 84-90, 1960.
|
||||
!> @author John Burkardt
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine halton(ndim, r)
|
||||
|
||||
implicit none
|
||||
integer(pInt), intent(in) :: ndim !< dimension of the element
|
||||
real(pReal), intent(out), dimension(ndim) :: r !< next element of the current Halton sequence
|
||||
integer(pInt), dimension(ndim) :: base
|
||||
integer(pInt) :: seed
|
||||
integer(pInt), dimension(1) :: value_halton
|
||||
|
||||
call halton_memory ('GET', 'SEED', 1_pInt, value_halton)
|
||||
seed = value_halton(1)
|
||||
|
||||
call halton_memory ('GET', 'BASE', ndim, base)
|
||||
|
||||
call i_to_halton (seed, base, ndim, r)
|
||||
|
||||
value_halton(1) = 1_pInt
|
||||
call halton_memory ('INC', 'SEED', 1_pInt, value_halton)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
contains
|
||||
|
||||
!-------------------------------------------------------------------------------------------------
|
||||
!> @brief computes an element of a Halton sequence.
|
||||
!> @details Only the absolute value of SEED is considered. SEED = 0 is allowed, and returns R = 0.
|
||||
!> @details Halton Bases should be distinct prime numbers. This routine only checks that each base
|
||||
!> @details is greater than 1.
|
||||
!> @details Reference:
|
||||
!> @details J.H. Halton: On the efficiency of certain quasi-random sequences of points in evaluating
|
||||
!> @details multi-dimensional integrals, Numerische Mathematik, Volume 2, pages 84-90, 1960.
|
||||
!> @author John Burkardt
|
||||
!-------------------------------------------------------------------------------------------------
|
||||
subroutine i_to_halton (seed, base, ndim, r)
|
||||
use IO, only: &
|
||||
IO_error
|
||||
!-------------------------------------------------------------------------------------------------
|
||||
function halton(ndim, seed)
|
||||
|
||||
implicit none
|
||||
integer(pInt), intent(in) :: &
|
||||
ndim, & !< dimension of the sequence
|
||||
seed !< index of the desired element
|
||||
integer(pInt), intent(in), dimension(ndim) :: base !< Halton bases
|
||||
real(pReal), intent(out), dimension(ndim) :: r !< the SEED-th element of the Halton sequence for the given bases
|
||||
|
||||
real(pReal), dimension(ndim) :: base_inv
|
||||
integer(pInt), dimension(ndim) :: &
|
||||
digit, &
|
||||
seed2
|
||||
|
||||
seed2 = abs(seed)
|
||||
r = 0.0_pReal
|
||||
|
||||
if (any (base(1:ndim) <= 1_pInt)) call IO_error(error_ID=405_pInt)
|
||||
|
||||
base_inv(1:ndim) = 1.0_pReal / real (base(1:ndim), pReal)
|
||||
|
||||
do while ( any ( seed2(1:ndim) /= 0_pInt) )
|
||||
digit(1:ndim) = mod ( seed2(1:ndim), base(1:ndim))
|
||||
r(1:ndim) = r(1:ndim) + real ( digit(1:ndim), pReal) * base_inv(1:ndim)
|
||||
base_inv(1:ndim) = base_inv(1:ndim) / real ( base(1:ndim), pReal)
|
||||
seed2(1:ndim) = seed2(1:ndim) / base(1:ndim)
|
||||
enddo
|
||||
|
||||
end subroutine i_to_halton
|
||||
|
||||
|
||||
end subroutine halton
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief sets or returns quantities associated with the Halton sequence.
|
||||
!> @details If action_halton is 'SET' and action_halton is 'BASE', then NDIM is input, and
|
||||
!> @details is the number of entries in value_halton to be put into BASE.
|
||||
!> @details If action_halton is 'SET', then on input, value_halton contains values to be assigned
|
||||
!> @details to the internal variable.
|
||||
!> @details If action_halton is 'GET', then on output, value_halton contains the values of
|
||||
!> @details the specified internal variable.
|
||||
!> @details If action_halton is 'INC', then on input, value_halton contains the increment to
|
||||
!> @details be added to the specified internal variable.
|
||||
!> @author John Burkardt
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine halton_memory (action_halton, name_halton, ndim, value_halton)
|
||||
use IO, only: &
|
||||
IO_lc
|
||||
|
||||
implicit none
|
||||
character(len = *), intent(in) :: &
|
||||
action_halton, & !< desired action: GET the value of a particular quantity, SET the value of a particular quantity, INC the value of a particular quantity (only for SEED)
|
||||
name_halton !< name of the quantity: BASE: Halton base(s), NDIM: spatial dimension, SEED: current Halton seed
|
||||
integer(pInt), dimension(*), intent(inout) :: value_halton
|
||||
integer(pInt), allocatable, save, dimension(:) :: base
|
||||
logical, save :: first_call = .true.
|
||||
integer(pInt), intent(in) :: ndim !< dimension of the quantity
|
||||
integer(pInt), save :: ndim_save = 0_pInt, seed = 1_pInt
|
||||
integer(pInt) :: i
|
||||
integer(pInt), intent(in) :: &
|
||||
ndim !< dimension of the sequence
|
||||
real(pReal), intent(in), optional :: &
|
||||
seed !< seed value [0.0,1.0]
|
||||
real(pReal), dimension(ndim) :: &
|
||||
halton
|
||||
integer(pInt), save :: &
|
||||
start, &
|
||||
current
|
||||
real(pReal), dimension(ndim) :: &
|
||||
base_inv
|
||||
integer(pInt), dimension(ndim) :: &
|
||||
base, &
|
||||
t
|
||||
integer(pInt) :: &
|
||||
i
|
||||
integer(pInt), dimension(0:1600), parameter :: &
|
||||
prime = int([&
|
||||
1, &
|
||||
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, &
|
||||
31, 37, 41, 43, 47, 53, 59, 61, 67, 71, &
|
||||
73, 79, 83, 89, 97, 101, 103, 107, 109, 113, &
|
||||
127, 131, 137, 139, 149, 151, 157, 163, 167, 173, &
|
||||
179, 181, 191, 193, 197, 199, 211, 223, 227, 229, &
|
||||
233, 239, 241, 251, 257, 263, 269, 271, 277, 281, &
|
||||
283, 293, 307, 311, 313, 317, 331, 337, 347, 349, &
|
||||
353, 359, 367, 373, 379, 383, 389, 397, 401, 409, &
|
||||
419, 421, 431, 433, 439, 443, 449, 457, 461, 463, &
|
||||
467, 479, 487, 491, 499, 503, 509, 521, 523, 541, &
|
||||
! 101:200
|
||||
547, 557, 563, 569, 571, 577, 587, 593, 599, 601, &
|
||||
607, 613, 617, 619, 631, 641, 643, 647, 653, 659, &
|
||||
661, 673, 677, 683, 691, 701, 709, 719, 727, 733, &
|
||||
739, 743, 751, 757, 761, 769, 773, 787, 797, 809, &
|
||||
811, 821, 823, 827, 829, 839, 853, 857, 859, 863, &
|
||||
877, 881, 883, 887, 907, 911, 919, 929, 937, 941, &
|
||||
947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, &
|
||||
1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, &
|
||||
1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, &
|
||||
1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, &
|
||||
! 201:300
|
||||
1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, &
|
||||
1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, &
|
||||
1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, &
|
||||
1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, &
|
||||
1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, &
|
||||
1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, &
|
||||
1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, &
|
||||
1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, &
|
||||
1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, &
|
||||
1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, &
|
||||
! 301:400
|
||||
1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, &
|
||||
2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, &
|
||||
2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, &
|
||||
2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, &
|
||||
2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, &
|
||||
2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, &
|
||||
2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, &
|
||||
2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, &
|
||||
2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, &
|
||||
2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, &
|
||||
! 401:500
|
||||
2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, &
|
||||
2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, &
|
||||
2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, &
|
||||
3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, &
|
||||
3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, &
|
||||
3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, &
|
||||
3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, &
|
||||
3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, &
|
||||
3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, &
|
||||
3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, &
|
||||
! 501:600
|
||||
3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, &
|
||||
3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, &
|
||||
3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, &
|
||||
3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, &
|
||||
3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, &
|
||||
4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, &
|
||||
4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, &
|
||||
4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, &
|
||||
4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, &
|
||||
4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, &
|
||||
! 601:700
|
||||
4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, &
|
||||
4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, &
|
||||
4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, &
|
||||
4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, &
|
||||
4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, &
|
||||
4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, &
|
||||
4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, &
|
||||
5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, &
|
||||
5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, &
|
||||
5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, &
|
||||
! 701:800
|
||||
5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, &
|
||||
5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, &
|
||||
5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, &
|
||||
5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, &
|
||||
5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, &
|
||||
5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, &
|
||||
5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, &
|
||||
5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, &
|
||||
5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, &
|
||||
6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, &
|
||||
! 801:900
|
||||
6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, &
|
||||
6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, &
|
||||
6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, &
|
||||
6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, &
|
||||
6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, &
|
||||
6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, &
|
||||
6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, &
|
||||
6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, &
|
||||
6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, &
|
||||
6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, &
|
||||
! 901:1000
|
||||
7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, &
|
||||
7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, &
|
||||
7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, &
|
||||
7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, &
|
||||
7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, &
|
||||
7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, &
|
||||
7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, &
|
||||
7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, &
|
||||
7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, &
|
||||
7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, &
|
||||
! 1001:1100
|
||||
7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, &
|
||||
8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, &
|
||||
8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, &
|
||||
8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, &
|
||||
8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, &
|
||||
8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, &
|
||||
8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, &
|
||||
8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, &
|
||||
8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, &
|
||||
8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, &
|
||||
! 1101:1200
|
||||
8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, &
|
||||
8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, &
|
||||
9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, &
|
||||
9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, &
|
||||
9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, &
|
||||
9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, &
|
||||
9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, &
|
||||
9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, &
|
||||
9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, &
|
||||
9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, &
|
||||
! 1201:1300
|
||||
9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, &
|
||||
9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, &
|
||||
9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, &
|
||||
10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, &
|
||||
10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, &
|
||||
10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, &
|
||||
10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, &
|
||||
10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, &
|
||||
10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, &
|
||||
10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, &
|
||||
! 1301:1400
|
||||
10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, &
|
||||
10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, &
|
||||
10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, &
|
||||
10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, &
|
||||
11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, &
|
||||
11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, &
|
||||
11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, &
|
||||
11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, &
|
||||
11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, &
|
||||
11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, &
|
||||
! 1401:1500
|
||||
11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, &
|
||||
11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, &
|
||||
11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, &
|
||||
11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, &
|
||||
12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, &
|
||||
12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, &
|
||||
12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, &
|
||||
12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, &
|
||||
12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, &
|
||||
12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, &
|
||||
! 1501:1600
|
||||
12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, &
|
||||
12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, &
|
||||
12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, &
|
||||
12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, &
|
||||
12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, &
|
||||
13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, &
|
||||
13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, &
|
||||
13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, &
|
||||
13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, &
|
||||
13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499],pInt)
|
||||
|
||||
if (first_call) then
|
||||
ndim_save = 1_pInt
|
||||
allocate(base(ndim_save))
|
||||
base(1) = 2_pInt
|
||||
first_call = .false.
|
||||
|
||||
if (present(seed)) then
|
||||
start = int(seed * 1599.0_pReal,pInt) + 1_pInt ! select one prime number to start with
|
||||
current = 1_pInt
|
||||
else
|
||||
current = current + 1_pInt
|
||||
endif
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! Set
|
||||
actionHalton: if(IO_lc(action_halton(1:1)) == 's') then
|
||||
|
||||
nameSet: if(IO_lc(name_halton(1:1)) == 'b') then
|
||||
if(ndim_save /= ndim) ndim_save = ndim
|
||||
base = value_halton(1:ndim)
|
||||
elseif(IO_lc(name_halton(1:1)) == 'n') then nameSet
|
||||
if(ndim_save /= value_halton(1)) then
|
||||
ndim_save = value_halton(1)
|
||||
base = [(prime(i),i=1_pInt,ndim_save)]
|
||||
else
|
||||
ndim_save = value_halton(1)
|
||||
endif
|
||||
elseif(IO_lc(name_halton(1:1)) == 's') then nameSet
|
||||
seed = value_halton(1)
|
||||
endif nameSet
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! Get
|
||||
elseif(IO_lc(action_halton(1:1)) == 'g') then actionHalton
|
||||
nameGet: if(IO_lc(name_halton(1:1)) == 'b') then
|
||||
if(ndim /= ndim_save) then
|
||||
ndim_save = ndim
|
||||
base = [(prime(i),i=1_pInt,ndim_save)]
|
||||
endif
|
||||
value_halton(1:ndim_save) = base(1:ndim_save)
|
||||
elseif(IO_lc(name_halton(1:1)) == 'n') then nameGet
|
||||
value_halton(1) = ndim_save
|
||||
elseif(IO_lc(name_halton(1:1)) == 's') then nameGet
|
||||
value_halton(1) = seed
|
||||
endif nameGet
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
! Increment
|
||||
elseif(IO_lc(action_halton(1:1)) == 'i') then actionHalton
|
||||
if(IO_lc(name_halton(1:1)) == 's') seed = seed + value_halton(1)
|
||||
endif actionHalton
|
||||
base = [(prime(mod(start,1600_pInt)+i), i=1_pInt, ndim)]
|
||||
base_inv = 1.0_pReal/real(base,pReal)
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
contains
|
||||
halton = 0.0_pReal
|
||||
t = current
|
||||
|
||||
do while (any( t /= 0_pInt) )
|
||||
halton = halton + real(mod(t,base), pReal) * base_inv
|
||||
base_inv = base_inv / real(base, pReal)
|
||||
t = t / base
|
||||
enddo
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief returns any of the first 1500 prime numbers.
|
||||
!> @brief returns any of the first 1600 prime numbers.
|
||||
!> @details n = 0 is legal, returning PRIME = 1.
|
||||
!> @details 0 > n > 1600 returns -1
|
||||
!> @details Reference:
|
||||
!> @details Milton Abramowitz and Irene Stegun: Handbook of Mathematical Functions,
|
||||
!> @details US Department of Commerce, 1964, pages 870-873.
|
||||
|
|
@ -2444,241 +2522,7 @@ subroutine halton_memory (action_halton, name_halton, ndim, value_halton)
|
|||
!> @details 30th Edition, CRC Press, 1996, pages 95-98.
|
||||
!> @author John Burkardt
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
integer(pInt) function prime(n)
|
||||
use IO, only: &
|
||||
IO_error
|
||||
|
||||
implicit none
|
||||
integer(pInt), intent(in) :: n !< index of the desired prime number
|
||||
integer(pInt), dimension(0:1600), parameter :: &
|
||||
npvec = int([&
|
||||
1, &
|
||||
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, &
|
||||
31, 37, 41, 43, 47, 53, 59, 61, 67, 71, &
|
||||
73, 79, 83, 89, 97, 101, 103, 107, 109, 113, &
|
||||
127, 131, 137, 139, 149, 151, 157, 163, 167, 173, &
|
||||
179, 181, 191, 193, 197, 199, 211, 223, 227, 229, &
|
||||
233, 239, 241, 251, 257, 263, 269, 271, 277, 281, &
|
||||
283, 293, 307, 311, 313, 317, 331, 337, 347, 349, &
|
||||
353, 359, 367, 373, 379, 383, 389, 397, 401, 409, &
|
||||
419, 421, 431, 433, 439, 443, 449, 457, 461, 463, &
|
||||
467, 479, 487, 491, 499, 503, 509, 521, 523, 541, &
|
||||
! 101:200
|
||||
547, 557, 563, 569, 571, 577, 587, 593, 599, 601, &
|
||||
607, 613, 617, 619, 631, 641, 643, 647, 653, 659, &
|
||||
661, 673, 677, 683, 691, 701, 709, 719, 727, 733, &
|
||||
739, 743, 751, 757, 761, 769, 773, 787, 797, 809, &
|
||||
811, 821, 823, 827, 829, 839, 853, 857, 859, 863, &
|
||||
877, 881, 883, 887, 907, 911, 919, 929, 937, 941, &
|
||||
947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, &
|
||||
1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, &
|
||||
1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, &
|
||||
1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, &
|
||||
! 201:300
|
||||
1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, &
|
||||
1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, &
|
||||
1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, &
|
||||
1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, &
|
||||
1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, &
|
||||
1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, &
|
||||
1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, &
|
||||
1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, &
|
||||
1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, &
|
||||
1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, &
|
||||
! 301:400
|
||||
1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, &
|
||||
2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, &
|
||||
2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, &
|
||||
2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, &
|
||||
2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, &
|
||||
2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, &
|
||||
2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, &
|
||||
2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, &
|
||||
2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, &
|
||||
2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, &
|
||||
! 401:500
|
||||
2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, &
|
||||
2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, &
|
||||
2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, &
|
||||
3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, &
|
||||
3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, &
|
||||
3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, &
|
||||
3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, &
|
||||
3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, &
|
||||
3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, &
|
||||
3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, &
|
||||
! 501:600
|
||||
3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, &
|
||||
3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, &
|
||||
3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, &
|
||||
3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, &
|
||||
3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, &
|
||||
4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, &
|
||||
4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, &
|
||||
4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, &
|
||||
4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, &
|
||||
4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, &
|
||||
! 601:700
|
||||
4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, &
|
||||
4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, &
|
||||
4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, &
|
||||
4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, &
|
||||
4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, &
|
||||
4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, &
|
||||
4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, &
|
||||
5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, &
|
||||
5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, &
|
||||
5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, &
|
||||
! 701:800
|
||||
5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, &
|
||||
5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, &
|
||||
5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, &
|
||||
5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, &
|
||||
5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, &
|
||||
5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, &
|
||||
5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, &
|
||||
5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, &
|
||||
5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, &
|
||||
6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, &
|
||||
! 801:900
|
||||
6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, &
|
||||
6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, &
|
||||
6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, &
|
||||
6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, &
|
||||
6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, &
|
||||
6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, &
|
||||
6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, &
|
||||
6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, &
|
||||
6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, &
|
||||
6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, &
|
||||
! 901:1000
|
||||
7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, &
|
||||
7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, &
|
||||
7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, &
|
||||
7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, &
|
||||
7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, &
|
||||
7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, &
|
||||
7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, &
|
||||
7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, &
|
||||
7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, &
|
||||
7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, &
|
||||
! 1001:1100
|
||||
7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, &
|
||||
8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, &
|
||||
8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, &
|
||||
8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, &
|
||||
8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, &
|
||||
8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, &
|
||||
8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, &
|
||||
8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, &
|
||||
8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, &
|
||||
8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, &
|
||||
! 1101:1200
|
||||
8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, &
|
||||
8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, &
|
||||
9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, &
|
||||
9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, &
|
||||
9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, &
|
||||
9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, &
|
||||
9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, &
|
||||
9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, &
|
||||
9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, &
|
||||
9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, &
|
||||
! 1201:1300
|
||||
9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, &
|
||||
9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, &
|
||||
9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, &
|
||||
10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, &
|
||||
10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, &
|
||||
10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, &
|
||||
10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, &
|
||||
10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, &
|
||||
10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, &
|
||||
10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, &
|
||||
! 1301:1400
|
||||
10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, &
|
||||
10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, &
|
||||
10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, &
|
||||
10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, &
|
||||
11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, &
|
||||
11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, &
|
||||
11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, &
|
||||
11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, &
|
||||
11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, &
|
||||
11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, &
|
||||
! 1401:1500
|
||||
11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, &
|
||||
11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, &
|
||||
11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, &
|
||||
11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, &
|
||||
12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, &
|
||||
12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, &
|
||||
12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, &
|
||||
12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, &
|
||||
12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, &
|
||||
12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, &
|
||||
! 1501:1600
|
||||
12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, &
|
||||
12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, &
|
||||
12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, &
|
||||
12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, &
|
||||
12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, &
|
||||
13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, &
|
||||
13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, &
|
||||
13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, &
|
||||
13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, &
|
||||
13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499],pInt)
|
||||
|
||||
if (n < size(npvec)) then
|
||||
prime = npvec(n)
|
||||
else
|
||||
call IO_error(error_ID=406_pInt)
|
||||
end if
|
||||
|
||||
end function prime
|
||||
|
||||
end subroutine halton_memory
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief sets the dimension for a Halton sequence
|
||||
!> @author John Burkardt
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine halton_ndim_set(ndim)
|
||||
|
||||
implicit none
|
||||
integer(pInt), intent(in) :: ndim !< dimension of the Halton vectors
|
||||
integer(pInt) :: value_halton(1)
|
||||
|
||||
value_halton(1) = ndim
|
||||
call halton_memory ('SET', 'NDIM', 1_pInt, value_halton)
|
||||
|
||||
end subroutine halton_ndim_set
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
!> @brief sets the seed for the Halton sequence.
|
||||
!> @details Calling HALTON repeatedly returns the elements of the Halton sequence in order,
|
||||
!> @details starting with element number 1.
|
||||
!> @details An internal counter, called SEED, keeps track of the next element to return. Each time
|
||||
!> @details is computed, and then SEED is incremented by 1.
|
||||
!> @details To restart the Halton sequence, it is only necessary to reset SEED to 1. It might also
|
||||
!> @details be desirable to reset SEED to some other value. This routine allows the user to specify
|
||||
!> @details any value of SEED.
|
||||
!> @details The default value of SEED is 1, which restarts the Halton sequence.
|
||||
!> @author John Burkardt
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
subroutine halton_seed_set(seed)
|
||||
implicit none
|
||||
|
||||
integer(pInt), parameter :: NDIM = 1_pInt
|
||||
integer(pInt), intent(in) :: seed !< seed for the Halton sequence.
|
||||
integer(pInt) :: value_halton(ndim)
|
||||
|
||||
value_halton(1) = seed
|
||||
call halton_memory ('SET', 'SEED', NDIM, value_halton)
|
||||
|
||||
end subroutine halton_seed_set
|
||||
end function halton
|
||||
|
||||
|
||||
!--------------------------------------------------------------------------------------------------
|
||||
|
|
|
|||
Loading…
Reference in New Issue