program main !*****************************************************************************80 ! !! toms462_test() tests toms462(). ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 24 May 2009 ! ! Author: ! ! John Burkardt ! implicit none call timestamp ( ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'toms462_test():' write ( *, '(a)' ) ' FORTRAN90 version' write ( *, '(a)' ) ' Test TOMS462().' call test01 ( ) call test02 ( ) ! ! Terminate. ! write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TOMS462_TEST' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) ' ' call timestamp ( ) stop 0 end subroutine test01 ( ) !*****************************************************************************80 ! !! TEST01 tests BIVNOR. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 24 May 2009 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk = kind ( 1.0D+00 ) real ( kind = rk ) bivnor real ( kind = rk ) cdf real ( kind = rk ) expect real ( kind = rk ) r real ( kind = rk ) x real ( kind = rk ) y write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST01' write ( *, '(a)' ) ' Compare BIVNOR with some simple data' write ( *, '(a)' ) ' with 3 digit accuracy.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) & ' X Y R P P' write ( *, '(a)' ) & ' (Tabulated) (BIVNOR)' write ( *, '(a)' ) ' ' x = 0.8D+00 y = -1.5D+00 r = -0.9D+00 expect = 0.148D+00 cdf = bivnor ( x, y, r ) write ( *, '(2x,f9.5,2x,f9.5,2x,f9.5,2x,g14.6,2x,g14.6)' ) & x, y, r, expect, cdf stop x = 0.6D+00 y = -1.4D+00 r = -0.7D+00 expect = 0.208D+00 cdf = bivnor ( x, y, r ) write ( *, '(2x,f9.5,2x,f9.5,2x,f9.5,2x,g14.6,2x,g14.6)' ) & x, y, r, expect, cdf x = 0.2D+00 y = -1.0D+00 r = -0.5D+00 expect = 0.304D+00 cdf = bivnor ( x, y, r ) write ( *, '(2x,f9.5,2x,f9.5,2x,f9.5,2x,g14.6,2x,g14.6)' ) & x, y, r, expect, cdf x = -1.2D+00 y = 0.1D+00 r = 0.0D+00 expect = 0.407D+00 cdf = bivnor ( x, y, r ) write ( *, '(2x,f9.5,2x,f9.5,2x,f9.5,2x,g14.6,2x,g14.6)' ) & x, y, r, expect, cdf x = -1.2D+00 y = -0.1D+00 r = 0.3D+00 expect = 0.501D+00 cdf = bivnor ( x, y, r ) write ( *, '(2x,f9.5,2x,f9.5,2x,f9.5,2x,g14.6,2x,g14.6)' ) & x, y, r, expect, cdf x = -0.4D+00 y = -0.9D+00 r = 0.6D+00 expect = 0.601D+00 cdf = bivnor ( x, y, r ) write ( *, '(2x,f9.5,2x,f9.5,2x,f9.5,2x,g14.6,2x,g14.6)' ) & x, y, r, expect, cdf return end subroutine test02 ( ) !*****************************************************************************80 ! !! TEST02 tests BIVNOR. ! ! Licensing: ! ! This code is distributed under the MIT license. ! ! Modified: ! ! 24 May 2009 ! ! Author: ! ! John Burkardt ! implicit none integer, parameter :: rk = kind ( 1.0D+00 ) real ( kind = rk ) bivnor real ( kind = rk ) fxy1 real ( kind = rk ) fxy2 integer n_data real ( kind = rk ) r real ( kind = rk ) x real ( kind = rk ) y write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST02' write ( *, '(a)' ) ' Compare BIVNOR with some tabulated data.' write ( *, '(a)' ) ' ' write ( *, '(a,a,a)' ) & ' X Y ', & 'R P P', & ' DIFF' write ( *, '(a,a)' ) & ' ', & ' (Tabulated) (BIVNOR)' write ( *, '(a)' ) ' ' n_data = 0 do call bivariate_normal_cdf_values ( n_data, x, y, r, fxy1 ) if ( n_data == 0 ) then exit end if ! ! BIVNOR computes the "tail" of the probability, and we want the ! initial part! ! x = - x y = - y fxy2 = bivnor ( x, y, r ) x = - x y = - y write ( *, & '(2x,f8.4,2x,f8.4,2x,f8.4,2x,g24.16,2x,g24.16,2x,g10.4)' ) & x, y, r, fxy1, fxy2, abs ( fxy1 - fxy2 ) 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