program main !*****************************************************************************80 ! !! randlc_test() tests randlc(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 11 March 2010 ! ! Author: ! ! John Burkardt ! implicit none call timestamp ( ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'randlc_test():' write ( *, '(a)' ) ' Fortran90 version:' write ( *, '(a)' ) ' Test randlc().' call test01 ( ) call test02 ( ) call test03 ( ) call test04 ( ) ! ! Terminate. ! write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'randlc_test():' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) ' ' call timestamp ( ) stop 0 end subroutine test01 ( ) !*****************************************************************************80 ! !! TEST01 tests RANDLC. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 08 March 2010 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk8 = kind ( 1.0D+00 ) integer i real ( kind = rk8 ) randlc real ( kind = rk8 ) seed write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'test01():' write ( *, '(a)' ) ' randlc() computes pseudorandom values ' write ( *, '(a)' ) ' in the interval [0,1].' seed = 123456789.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,f15.0)' ) ' The initial seed is ', seed write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' I RANDLC' write ( *, '(a)' ) ' ' do i = 1, 10 write ( *, '(2x,i8,2x,f14.6)' ) i, randlc ( seed ) end do return end subroutine test02 ( ) !*****************************************************************************80 ! !! TEST02 tests RANDLC. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 08 March 2010 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk8 = kind ( 1.0D+00 ) integer, parameter :: n = 1000 integer i real ( kind = rk8 ) randlc real ( kind = rk8 ) seed real ( kind = rk8 ) seed_in real ( kind = rk8 ) seed_out real ( kind = rk8 ) u(n) real ( kind = rk8 ) u_avg real ( kind = rk8 ) u_var write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST02' write ( *, '(a)' ) ' RANDLC computes a sequence of uniformly' write ( *, '(a)' ) ' distributed pseudorandom numbers.' seed = 123456789.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,f15.0)' ) ' Initial SEED = ', seed write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' First 10 values:' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' I Input Output RANDLC' write ( *, '(a)' ) ' SEED SEED' write ( *, '(a)' ) ' ' do i = 1, 10 seed_in = seed u(i) = randlc ( seed ) seed_out = seed write ( *, '(2x,i6,2x,f15.0,2x,f15.0,2x,f10.6)' ) & i, seed_in, seed_out, u(i) end do write ( *, '(a)' ) ' ' write ( *, '(a,i6,a)' ) ' Now call RANDLC ', n, ' times.' u_avg = 0.0D+00 do i = 1, n u(i) = randlc ( seed ) u_avg = u_avg + u(i) end do u_avg = u_avg / real ( n, kind = rk8 ) u_var = 0.0D+00 do i = 1, n u_var = u_var + ( u(i) - u_avg )**2 end do u_var = u_var / real ( n - 1, kind = rk8 ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' Average value = ', u_avg write ( *, '(a,g14.6)' ) ' Expecting ', 0.5D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' Variance = ', u_var write ( *, '(a,g14.6)' ) ' Expecting ', 1.0D+00 / 12.0D+00 return end subroutine test03 ( ) !*****************************************************************************80 ! !! TEST03 tests RANDLC. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 08 March 2010 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk8 = kind ( 1.0D+00 ) integer i real ( kind = rk8 ) randlc real ( kind = rk8 ) seed real ( kind = rk8 ) seed_in real ( kind = rk8 ) seed_out real ( kind = rk8 ) seed_save real ( kind = rk8 ) x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST03' write ( *, '(a)' ) ' RANDLC computes a sequence of pseudorandom numbers' write ( *, '(a)' ) ' but all computations depend on the seed value.' write ( *, '(a)' ) ' In this test, we show how a sequence of "random"' write ( *, '(a)' ) ' values can be manipulated by accessing the seed.' seed = 1066.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,f15.0)' ) ' Set SEED to ', seed write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Now call RANDLC 10 times, and watch SEED.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' I Input Output RANDLC' write ( *, '(a)' ) ' SEED SEED' write ( *, '(a)' ) ' ' do i = 1, 10 seed_in = seed if ( i == 5 ) then seed_save = seed end if x = randlc ( seed ) seed_out = seed write ( *, '(2x,i6,2x,f15.0,2x,f15.0,2x,f10.6)' ) i, seed_in, seed_out, x end do seed = seed_save write ( *, '(a)' ) ' ' write ( *, '(a,f15.0)' ) ' Reset SEED to its value at step 5, = ', seed write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Now call RANDLC 10 times, and watch how SEED' write ( *, '(a)' ) ' and RANDLC restart themselves.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' I Input Output RANDLC' write ( *, '(a)' ) ' SEED SEED' write ( *, '(a)' ) ' ' do i = 1, 10 seed_in = seed x = randlc ( seed ) seed_out = seed write ( *, '(2x,i6,2x,f15.0,2x,f15.0,2x,f10.6)' ) i, seed_in, seed_out, x end do seed = 0.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' What happens with an initial zero SEED?' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' I Input Output RANDLC' write ( *, '(a)' ) ' SEED SEED' write ( *, '(a)' ) ' ' do i = 1, 10 seed_in = seed x = randlc ( seed ) seed_out = seed write ( *, '(2x,i6,2x,f15.0,2x,f15.0,2x,f10.6)' ) i, seed_in, seed_out, x end do seed = -123456789.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' What happens with an initial negative SEED?' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' I Input Output RANDLC' write ( *, '(a)' ) ' SEED SEED' write ( *, '(a)' ) ' ' do i = 1, 10 seed_in = seed x = randlc ( seed ) seed_out = seed write ( *, '(2x,i6,2x,f15.0,2x,f15.0,2x,f10.6)' ) i, seed_in, seed_out, x end do return end subroutine test04 ( ) !*****************************************************************************80 ! !! RANDLC_TEST04 tests RANDLC_JUMP. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 11 March 2010 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk8 = kind ( 1.0D+00 ) integer i integer k integer klog real ( kind = rk8 ) randlc real ( kind = rk8 ) randlc_jump real ( kind = rk8 ) seed real ( kind = rk8 ) x1 real ( kind = rk8 ) x2 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'RANDLC_TEST04' write ( *, '(a)' ) ' RANDLC_JUMP jumps directly to the K-th value' write ( *, '(a)' ) ' returned by RANDLC.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' K X(hard way) X(jump)' write ( *, '(a)' ) ' ' k = 1 do klog = 1, 10 seed = 123456789.0D+00 do i = 1, k x1 = randlc ( seed ) end do seed = 123456789.0D+00 x2 = randlc_jump ( seed, k ) write ( *, '(2x,i8,2x,f10.6,2x,f10.6)' ) k, x1, x2 k = k * 2 end do return end subroutine timestamp ( ) !*****************************************************************************80 ! !! timestamp() prints the current YMDHMS date as a time stamp. ! ! Example: ! ! 31 May 2001 9:45:54.872 AM ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 18 May 2013 ! ! Author: ! ! John Burkardt ! implicit none character ( len = 8 ) ampm integer d integer h integer m integer mm character ( len = 9 ), parameter, dimension(12) :: month = (/ & 'January ', 'February ', 'March ', 'April ', & 'May ', 'June ', 'July ', 'August ', & 'September', 'October ', 'November ', 'December ' /) integer n integer s integer values(8) integer y call date_and_time ( values = values ) y = values(1) m = values(2) d = values(3) h = values(5) n = values(6) s = values(7) mm = values(8) if ( h < 12 ) then ampm = 'AM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Noon' else ampm = 'PM' end if else h = h - 12 if ( h < 12 ) then ampm = 'PM' else if ( h == 12 ) then if ( n == 0 .and. s == 0 ) then ampm = 'Midnight' else ampm = 'AM' end if end if end if write ( *, '(i2,1x,a,1x,i4,2x,i2,a1,i2.2,a1,i2.2,a1,i3.3,1x,a)' ) & d, trim ( month(m) ), y, h, ':', n, ':', s, '.', mm, trim ( ampm ) return end