program main c*********************************************************************72 c cc prob_test() tests prob(). c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 20 August 2013 c c Author: c c John Burkardt c implicit none call timestamp ( ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'prob_test():' write ( *, '(a)' ) ' Fortran77 version:' write ( *, '(a)' ) ' Test prob().' call test001 ( ) call test002 ( ) call test003 ( ) call test004 ( ) call test005 ( ) call test006 ( ) call test007 ( ) call test008 ( ) call test009 ( ) call test010 ( ) call test0105 ( ) call test0106 ( ) call test011 ( ) call test012 ( ) call test013 ( ) call test014 ( ) call test015 ( ) call test016 ( ) call test020 ( ) call test021 ( ) call test022 ( ) call test023 ( ) call test0235 ( ) call test024 ( ) call test025 ( ) call test0251 ( ) call test0252 ( ) call test0253 ( ) call test0254 ( ) call test026 ( ) call test027 ( ) call test0275 ( ) call test0276 ( ) call test028 ( ) call cauchy_sample_test ( ) call test030 ( ) call test031 ( ) call test032 ( ) call test033 ( ) call test034 ( ) call test035 ( ) call test036 ( ) call test037 ( ) call test0375 ( ) call test038 ( ) call test039 ( ) call test0395 ( ) call test040 ( ) call test041 ( ) call test042 ( ) call test043 ( ) call test044 ( ) call test045 ( ) call test046 ( ) call test047 ( ) call test048 ( ) call test049 ( ) call test050 ( ) call test051 ( ) call test052 ( ) call test053 ( ) call test054 ( ) call test055 ( ) call test056 ( ) call test0563 ( ) call test0564 ( ) call test0565 ( ) call test0566 ( ) call test057 ( ) call test058 ( ) call test059 ( ) call test060 ( ) call test061 ( ) call test062 ( ) call test063 ( ) call test064 ( ) call test065 ( ) call test066 ( ) call test067 ( ) call test068 ( ) call test069 ( ) call test070 ( ) call test07025 ( ) call test0705 ( ) call test071 ( ) call test072 ( ) call test073 ( ) call test074 ( ) call test0744 ( ) call test0745 ( ) call test075 ( ) call test076 ( ) call test077 ( ) call test078 ( ) call test079 ( ) call test080 ( ) call test081 ( ) call test082 ( ) call test083 ( ) call test084 ( ) call test085 ( ) call test086 ( ) call test087 ( ) call test088 ( ) call test089 ( ) call test090 ( ) call test091 ( ) call test092 ( ) call test093 ( ) call test094 ( ) call test095 ( ) call test096 ( ) call test0965 ( ) call test097 ( ) call test098 ( ) call test099 ( ) call test100 ( ) call test101 ( ) call test102 ( ) call test103 ( ) call test104 ( ) call test105 ( ) call test106 ( ) call test107 ( ) call test108 ( ) call test109 ( ) call test110 ( ) call test111 ( ) call test112 ( ) call test113 ( ) call test114 ( ) call test1145 ( ) call test1146 ( ) call test115 ( ) call test116 ( ) call test117 ( ) call test118 ( ) call test1184 ( ) call test1185 ( ) call test1186 ( ) call test1187 ( ) call test1188 ( ) call test1189 ( ) call test119 ( ) call test120 ( ) call test123 ( ) call test124 ( ) call test125 ( ) call test126 ( ) call test127 ( ) call test128 ( ) call test129 ( ) call test130 ( ) call test1304 ( ) call test1306 ( ) call test131 ( ) call test132 ( ) call test133 ( ) call test134 ( ) call test1341 ( ) call test1342 ( ) call test1344 ( ) call test135 ( ) call test136 ( ) call test137 ( ) call test138 ( ) call test139 ( ) call test140 ( ) call test141 ( ) call test142 ( ) call test1425 ( ) call test143 ( ) call test144 ( ) call test145 ( ) call test146 ( ) call test147 ( ) call test148 ( ) call test1485 ( ) call test1486 ( ) call test149 ( ) call test150 ( ) call test151 ( ) call test152 ( ) call test153 ( ) call test154 ( ) call test155 ( ) call test1555 ( ) call test156 ( ) call test157 ( ) call test158 ( ) call test159 ( ) call test160 ( ) call test161 ( ) call test162 ( ) c c Terminate. c write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'prob_test():' write ( *, '(a)' ) ' Normal end of execution.' write ( *, '(a)' ) ' ' call timestamp ( ) stop end subroutine test001 ( ) c*********************************************************************72 c cc TEST001 tests ANGLE_CDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer n double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST001' write ( *, '(a)' ) ' For the ANGLE PDF:' write ( *, '(a)' ) ' ANGLE_CDF evaluates the CDF;' n = 5 x = 0.50D+00 call angle_cdf ( x, n, cdf ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter N = ', n write ( *, '(a,g14.6)' ) ' PDF argument X = ', x write ( *, '(a,g14.6)' ) ' CDF value = ', cdf return end subroutine test002 ( ) c*********************************************************************72 c cc TEST002 tests ANGLE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n double precision pdf double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST002' write ( *, '(a)' ) ' For the ANGLE PDF:' write ( *, '(a)' ) ' ANGLE_PDF evaluates the PDF;' n = 5 x = 0.50D+00 call angle_pdf ( x, n, pdf ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter N = ', n write ( *, '(a,g14.6)' ) ' PDF argument X = ', x write ( *, '(a,g14.6)' ) ' PDF value = ', pdf return end subroutine test003 ( ) c*********************************************************************72 c cc TEST003 tests ANGLE_MEAN; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision mean integer n write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST003' write ( *, '(a)' ) ' For the ANGLE PDF:' write ( *, '(a)' ) ' ANGLE_MEAN computes the mean;' n = 5 call angle_mean ( n, mean ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter N = ', n write ( *, '(a,g14.6)' ) ' PDF mean = ', mean return end subroutine test004 ( ) c*********************************************************************72 c cc TEST004 tests ANGLIT_CDF, ANGLIT_CDF_INV, ANGLIT_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST004' write ( *, '(a)' ) ' For the Anglit PDF:' write ( *, '(a)' ) ' ANGLIT_CDF evaluates the CDF;' write ( *, '(a)' ) ' ANGLIT_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' ANGLIT_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) & ' X PDF CDF ' &// ' CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call anglit_sample ( seed, x ) call anglit_pdf ( x, pdf ) call anglit_cdf ( x, cdf ) call anglit_cdf_inv ( cdf, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test005 ( ) c*********************************************************************72 c cc TEST005 tests ANGLIT_MEAN, ANGLIT_SAMPLE, ANGLIT_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST005' write ( *, '(a)' ) ' For the Anglit PDF:' write ( *, '(a)' ) ' ANGLIT_MEAN computes the mean;' write ( *, '(a)' ) ' ANGLIT_SAMPLE samples;' write ( *, '(a)' ) ' ANGLIT_VARIANCE computes the variance.' call anglit_mean ( mean ) call anglit_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call anglit_sample ( seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test006 ( ) c*********************************************************************72 c cc TEST006 tests ARCSIN_CDF, ARCSIN_CDF_INV, ARCSIN_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a logical arcsin_check double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST006' write ( *, '(a)' ) ' For the Arcsin PDF:' write ( *, '(a)' ) ' ARCSIN_CDF evaluates the CDF;' write ( *, '(a)' ) ' ARCSIN_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' ARCSIN_PDF evaluates the PDF;' a = 1.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. arcsin_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call arcsin_sample ( a, seed, x ) call arcsin_pdf ( x, a, pdf ) call arcsin_cdf ( x, a, cdf ) call arcsin_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test007 ( ) c*********************************************************************72 c cc TEST007 tests ARCSIN_MEAN, ARCSIN_SAMPLE, ARCSIN_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a logical arcsin_check integer i integer j double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST007' write ( *, '(a)' ) ' For the Arcsin PDF:' write ( *, '(a)' ) ' ARCSIN_MEAN computes the mean;' write ( *, '(a)' ) ' ARCSIN_SAMPLE samples;' write ( *, '(a)' ) ' ARCSIN_VARIANCE computes the variance.' do i = 1, 2 if ( i .eq. 1 ) then a = 1.0D+00 else if ( i .eq. 2 ) then a = 16.0D+00 end if write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. arcsin_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call arcsin_mean ( a, mean ) call arcsin_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do j = 1, sample_num call arcsin_sample ( a, seed, x(j) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin end do return end subroutine test008 ( ) c*********************************************************************72 c cc TEST008 tests BENFORD_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n double precision pdf write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST008' write ( *, '(a)' ) ' For the Benford PDF:' write ( *, '(a)' ) ' BENFORD_PDF evaluates the PDF.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' N PDF(N)' write ( *, '(a)' ) ' ' do n = 1, 19 call benford_pdf ( n, pdf ) write ( *, '(i8,g14.6)' ) n, pdf end do return end subroutine test009 ( ) c*********************************************************************72 c cc TEST009 tests BERNOULLI_CDF, BERNOULLI_CDF_INV, BERNOULLI_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a logical bernoulli_check double precision cdf integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST009' write ( *, '(a)' ) ' For the Bernoulli PDF,' write ( *, '(a)' ) ' BERNOULLI_CDF evaluates the CDF;' write ( *, '(a)' ) ' BERNOULLI_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' BERNOULLI_PDF evaluates the PDF;' a = 0.75D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. bernoulli_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call bernoulli_sample ( a, seed, x ) call bernoulli_pdf ( x, a, pdf ) call bernoulli_cdf ( x, a, cdf ) call bernoulli_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test010 ( ) c*********************************************************************72 c cc TEST010 tests BERNOULLI_MEAN, BERNOULLI_SAMPLE, BERNOULLI_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a logical bernoulli_check integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST010' write ( *, '(a)' ) ' For the Bernoulli PDF:' write ( *, '(a)' ) ' BERNOULLI_MEAN computes the mean;' write ( *, '(a)' ) ' BERNOULLI_SAMPLE samples;' write ( *, '(a)' ) ' BERNOULLI_VARIANCE computes the variance.' a = 0.75D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. bernoulli_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call bernoulli_mean ( a, mean ) call bernoulli_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call bernoulli_sample ( a, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test0105 ( ) c*********************************************************************72 c cc TEST0105 demonstrates the use of BESSEL_I0_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none double precision bessel_i0 double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0105:' write ( *, '(a)' ) ' BESSEL_I0 computes values of ' write ( *, '(a)' ) ' the Bessel I0 function.' write ( *, '(a)' ) ' BESSEL_I0_VALUES returns some exact values.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X Exact & BESSEL_I0(X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call bessel_i0_values ( n_data, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if fx2 = bessel_i0 ( x ) write ( *, '(2x,f14.6,2x,g24.16,2x,g24.16)' ) x, fx, fx2 go to 10 20 continue return end subroutine test0106 ( ) c*********************************************************************72 c cc TEST0106 demonstrates the use of BESSEL_I1_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none double precision bessel_i1 double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0106:' write ( *, '(a)' ) ' BESSEL_I1 computes values of ' write ( *, '(a)' ) ' the Bessel I1 function.' write ( *, '(a)' ) ' BESSEL_I1_VALUES returns some exact values.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X Exact & BESSEL_I1(X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call bessel_i1_values ( n_data, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if fx2 = bessel_i1 ( x ) write ( *, '(2x,f14.6,2x,g24.16,2x,g24.16)' ) x, fx, fx2 go to 10 20 continue return end subroutine test011 ( ) c*********************************************************************72 c cc TEST011 tests BETA and GAMMA. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision beta double precision beta1 double precision beta2 double precision gamma write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST011' write ( *, '(a)' ) ' BETA evaluates the Beta function;' write ( *, '(a)' ) ' GAMMA evaluates the Gamma function.' a = 2.2D+00 b = 3.7D+00 beta1 = beta ( a, b ) beta2 = gamma ( a ) * gamma ( b ) / gamma ( a + b ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' Argument A = ', a write ( *, '(a,g14.6)' ) ' Argument B = ', b write ( *, '(a,g14.6)' ) ' Beta(A,B) = ', beta &1 write ( *, '(a)' ) ' (Expected value = 0.0454 )' write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' Gamma(A)*Gamma(B)/Gamma(A+B) = ', beta &2 return end subroutine test012 ( ) c*********************************************************************72 c cc TEST012 tests BETA_CDF, BETA_CDF_INV and BETA_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 27 April 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b logical beta_check double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST012' write ( *, '(a)' ) ' For the Beta PDF:' write ( *, '(a)' ) ' BETA_CDF evaluates the CDF;' write ( *, '(a)' ) ' BETA_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' BETA_PDF evaluates the PDF;' a = 12.0D+00 b = 12.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. beta_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A B X PDF & CDF CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call beta_sample ( a, b, seed, x ) call beta_pdf ( x, a, b, pdf ) call beta_cdf ( x, a, b, cdf ) call beta_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,6g14.6)' ) a, b, x, pdf, cdf, x2 end do return end subroutine test013 ( ) c*********************************************************************72 c cc TEST013 tests BETA_INC and BETA_INC_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision beta_inc double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST013:' write ( *, '(a)' ) ' BETA_INC evaluates the normalized incomplete & Beta' write ( *, '(a)' ) ' function BETA_INC(A,B,X).' write ( *, '(a)' ) ' BETA_INC_VALUES returns some exact values.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A B X Exact F BETA_IN &C(A,B,X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call beta_inc_values ( n_data, a, b, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if fx2 = beta_inc ( a, b, x ) write ( *, '(2x,3f8.4,2g14.6)' ) a, b, x, fx, fx2 go to 10 20 continue return end subroutine test014 ( ) c*********************************************************************72 c cc TEST014 tests BETA_MEAN, BETA_SAMPLE and BETA_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical beta_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST014' write ( *, '(a)' ) ' For the Beta PDF:' write ( *, '(a)' ) ' BETA_MEAN computes the mean;' write ( *, '(a)' ) ' BETA_SAMPLE samples;' write ( *, '(a)' ) ' BETA_VARIANCE computes the variance.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. beta_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call beta_mean ( a, b, mean ) call beta_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call beta_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test015 ( ) c*********************************************************************72 c cc TEST015 tests BETA_BINOMIAL_CDF, BETA_BINOMIAL_CDF_INV and BETA_BINOMIAL_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none double precision a double precision b logical beta_binomial_check integer c double precision cdf integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST015' write ( *, '(a)' ) ' For the Beta Binomial PDF,' write ( *, '(a)' ) ' BETA_BINOMIAL_CDF evaluates the CDF;' write ( *, '(a)' ) ' BETA_BINOMIAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' BETA_BINOMIAL_PDF evaluates the PDF;' a = 2.0D+00 b = 3.0D+00 c = 4 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,i8)' ) ' PDF parameter C = ', c if ( .not. beta_binomial_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call beta_binomial_sample ( a, b, c, seed, x ) call beta_binomial_pdf ( x, a, b, c, pdf ) call beta_binomial_cdf ( x, a, b, c, cdf ) call beta_binomial_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test016 ( ) c*********************************************************************72 c cc TEST016 tests BETA_BINOMIAL_MEAN, BETA_BINOMIAL_SAMPLE, BETA_BINOMIAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical beta_binomial_check integer c integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST016' write ( *, '(a)' ) ' For the Beta Binomial PDF:' write ( *, '(a)' ) ' BETA_BINOMIAL_MEAN computes the mean;' write ( *, '(a)' ) ' BETA_BINOMIAL_SAMPLE samples;' write ( *, '(a)' ) ' BETA_BINOMIAL_VARIANCE computes the variance &.' a = 2.0D+00 b = 3.0D+00 c = 4 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,i8)' ) ' PDF parameter C = ', c if ( .not. beta_binomial_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call beta_binomial_mean ( a, b, c, mean ) call beta_binomial_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call beta_binomial_sample ( a, b, c, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test020 ( ) c*********************************************************************72 c cc TEST020 tests BINOMIAL_CDF and BINOMIAL_CDF_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none integer a double precision b double precision fx double precision fx2 integer n_data integer x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST020:' write ( *, '(a)' ) ' BINOMIAL_CDF evaluates the cumulative distri &bution' write ( *, '(a)' ) ' function for the discrete binomial probabili &ty' write ( *, '(a)' ) ' density function.' write ( *, '(a)' ) ' BINOMIAL_CDF_VALUES returns some exact value &s.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A is the number of trials;' write ( *, '(a)' ) ' B is the probability of success on one trial &;' write ( *, '(a)' ) ' X is the number of successes;' write ( *, '(a)' ) ' BINOMIAL_CDF is the probability of having up & to X' write ( *, '(a)' ) ' successes.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A B X Exact F BINOMIAL &_CDF(A,B,X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call binomial_cdf_values ( n_data, a, b, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if call binomial_cdf ( x, a, b, fx2 ) write ( *, '(2x,i8,2x,f8.4,2x,i8,g14.6,g14.6)' ) & a, b, x, fx, fx2 go to 10 20 continue return end subroutine test021 ( ) c*********************************************************************72 c cc TEST021 tests BINOMIAL_CDF, BINOMIAL_CDF_INV, BINOMIAL_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none integer a double precision b logical binomial_check double precision cdf integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST021' write ( *, '(a)' ) ' For the Binomial PDF:' write ( *, '(a)' ) ' BINOMIAL_CDF evaluates the CDF;' write ( *, '(a)' ) ' BINOMIAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' BINOMIAL_PDF evaluates the PDF;' a = 5 b = 0.65D+00 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. binomial_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call binomial_sample ( a, b, seed, x ) call binomial_pdf ( x, a, b, pdf ) call binomial_cdf ( x, a, b, cdf ) call binomial_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test022 ( ) c*********************************************************************72 c cc TEST022 tests BINOMIAL_COEF, BINOMIAL_COEF_LOG. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none integer cnk1 double precision cnk2_log double precision cnk2 integer k integer n write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST022' write ( *, '(a)' ) ' BINOMIAL_COEF evaluates binomial coefficient &s.' write ( *, '(a)' ) ' BINOMIAL_COEF_LOG evaluates the logarithm.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' N K C(N,K)' write ( *, '(a)' ) ' ' do n = 0, 4 do k = 0, n call binomial_coef ( n, k, cnk1 ) call binomial_coef_log ( n, k, cnk2_log ) cnk2 = exp ( cnk2_log ) write ( *, '(3i8,g14.6)' ) n, k, cnk1, cnk2 end do end do return end subroutine test023 ( ) c*********************************************************************72 c cc TEST023 tests BINOMIAL_MEAN, BINOMIAL_SAMPLE, BINOMIAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 24 January 2007 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer a double precision b logical binomial_check integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST023' write ( *, '(a)' ) ' For the Binomial PDF:' write ( *, '(a)' ) ' BINOMIAL_MEAN computes the mean;' write ( *, '(a)' ) ' BINOMIAL_SAMPLE samples;' write ( *, '(a)' ) ' BINOMIAL_VARIANCE computes the variance.' a = 5 b = 0.30D+00 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. binomial_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call binomial_mean ( a, b, mean ) call binomial_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call binomial_sample ( a, b, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test0235 ( ) c*********************************************************************72 c cc TEST0235 tests BIRTHDAY_CDF, BIRTHDAY_CDF_INV, BIRTHDAY_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer n integer n2 double precision pdf write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0235' write ( *, '(a)' ) ' For the Birthday PDF,' write ( *, '(a)' ) ' BIRTHDAY_CDF evaluates the CDF;' write ( *, '(a)' ) ' BIRTHDAY_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' BIRTHDAY_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' N PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do n = 1, 30 call birthday_pdf ( n, pdf ) call birthday_cdf ( n, cdf ) call birthday_cdf_inv ( cdf, n2 ) write ( *, '(2x,i8,2x,g14.6,2x,g14.6,2x,i8)' ) n, pdf, cdf, n2 end do return end subroutine test024 ( ) c*********************************************************************72 c cc TEST024 tests BRADFORD_CDF, BRADFORD_CDF_INV, BRADFORD_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b logical bradford_check double precision c double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST024' write ( *, '(a)' ) ' For the Bradford PDF:' write ( *, '(a)' ) ' BRADFORD_CDF evaluates the CDF;' write ( *, '(a)' ) ' BRADFORD_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' BRADFORD_PDF evaluates the PDF;' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. bradford_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call bradford_sample ( a, b, c, seed, x ) call bradford_pdf ( x, a, b, c, pdf ) call bradford_cdf ( x, a, b, c, cdf ) call bradford_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test025 ( ) c*********************************************************************72 c cc TEST025 tests BRADFORD_MEAN, BRADFORD_SAMPLE, BRADFORD_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical bradford_check double precision c integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST025' write ( *, '(a)' ) ' For the Bradford PDF:' write ( *, '(a)' ) ' BRADFORD_MEAN computes the mean;' write ( *, '(a)' ) ' BRADFORD_SAMPLE samples;' write ( *, '(a)' ) ' BRADFORD_VARIANCE computes the variance.' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. bradford_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call bradford_mean ( a, b, c, mean ) call bradford_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call bradford_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test0251 ( ) c*********************************************************************72 c cc TEST0251 tests BUFFON_LAPLACE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b integer i integer j integer k double precision l double precision pdf write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0251' write ( *, '(a)' ) & ' BUFFON_LAPLACE_PDF evaluates the Buffon-Laplace PDF,' write ( *, '(a)' ) ' the probability that, on a grid of cells of &width A' write ( *, '(a)' ) ' and height B, a needle of length L, dropped &at random,' write ( *, '(a)' ) ' will cross at least one grid line.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A B L PDF' write ( *, '(a)' ) ' ' do i = 1, 5 a = dble ( i ) do j = 1, 5 b = dble ( j ) do k = 0, 5 l = dble ( k ) * min ( a, b ) / 5.0D+00 call buffon_laplace_pdf ( a, b, l, pdf ) write ( *, '(2x,f8.4,2x,f8.4,2x,f8.4,2x,g14.6)' ) & a, b, l, pdf end do write ( *, '(a)' ) ' ' end do end do return end subroutine test0252 ( ) c*********************************************************************72 c cc TEST0252 tests BUFFON_LAPLACE_SIMULATE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer test_num parameter ( test_num = 4 ) double precision a double precision b integer buffon_laplace_simulate double precision err integer hits double precision l double precision pi parameter ( pi = 3.141592653589793238462643D+00 ) double precision pi_est double precision r8_huge integer seed integer test integer trial_num integer trial_num_test(test_num) save trial_num_test data trial_num_test / 10, 100, 10000, 1000000 / seed = 123456789 a = 1.0D+00 b = 1.0D+00 l = 1.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0252' write ( *, '(a)' ) & ' BUFFON_LAPLACE_SIMULATE simulates a Buffon-Laplace' write ( *, '(a)' ) & ' needle dropping experiment. On a grid of cells of ' write ( *, '(a)' ) & ' width A and height B, a needle of length L is dropped' write ( *, '(a)' ) ' at random. We count the number of times it &crosses' write ( *, '(a)' ) ' at least one grid line, and use this to esti &mate ' write ( *, '(a)' ) ' the value of PI.' seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a,f14.6)' ) ' Cell width A = ', a write ( *, '(a,f14.6)' ) ' Cell height B = ', b write ( *, '(a,f14.6)' ) ' Needle length L = ', l write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Trials Hits Est(Pi) Err' write ( *, '(a)' ) ' ' do test = 1, test_num trial_num = trial_num_test(test) hits = buffon_laplace_simulate ( a, b, l, trial_num, seed ) if ( 0 .lt. hits ) then pi_est = ( 2.0D+00 * l * ( a + b ) - l * l ) * dble ( &trial_num ) / ( a * b * dble ( hits ) &) else pi_est = r8_huge ( ) end if err = abs ( pi_est - pi ) write ( *, '(2x,i8,2x,i8,2x,f14.6,2x,g14.6)' ) & trial_num, hits, pi_est, err end do return end subroutine test0253 ( ) c*********************************************************************72 c cc TEST0253 tests BUFFON_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a integer i integer k double precision l double precision pdf write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0253' write ( *, '(a)' ) ' BUFFON_PDF evaluates the Buffon PDF,' write ( *, '(a)' ) & ' the probability that, on a grid of cells of width A,' write ( *, '(a)' ) ' a needle of length L, dropped at random,' write ( *, '(a)' ) ' will cross at least one grid line.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A L PDF' write ( *, '(a)' ) ' ' do i = 1, 5 a = dble ( i ) do k = 0, 5 l = dble ( k ) * a / 5.0D+00 call buffon_pdf ( a, l, pdf ) write ( *, '(2x,f8.4,2x,f8.4,2x,g14.6)' ) a, l, pdf end do write ( *, '(a)' ) ' ' end do return end subroutine test0254 ( ) c*********************************************************************72 c cc TEST0254 tests BUFFON_SIMULATE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer test_num parameter ( test_num = 4 ) double precision a integer buffon_simulate double precision err integer hits double precision l double precision pi parameter ( pi = 3.141592653589793238462643D+00 ) double precision pi_est double precision r8_huge integer seed integer test integer trial_num integer trial_num_test(test_num) save trial_num_test data trial_num_test / 10, 100, 10000, 1000000 / a = 1.0D+00 l = 1.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0254' write ( *, '(a)' ) ' BUFFON_SIMULATE simulates a Buffon-Laplace' write ( *, '(a)' ) ' needle dropping experiment. On a grid of ce &lls of ' write ( *, '(a)' ) ' width A, a needle of length L is dropped' write ( *, '(a)' ) ' at random. We count the number of times it &crosses' write ( *, '(a)' ) ' at least one grid line, and use this to esti &mate ' write ( *, '(a)' ) ' the value of PI.' seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a,f14.6)' ) ' Cell width A = ', a write ( *, '(a,f14.6)' ) ' Needle length L = ', l write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Trials Hits Est(Pi) Err' write ( *, '(a)' ) ' ' do test = 1, test_num trial_num = trial_num_test(test) hits = buffon_simulate ( a, l, trial_num, seed ) if ( 0 .lt. hits ) then pi_est = ( 2.0D+00 * l ) * dble ( trial_num ) & / ( a * dble ( hits ) ) else pi_est = r8_huge ( ) end if err = abs ( pi_est - pi ) write ( *, '(2x,i8,2x,i8,2x,f14.6,2x,g14.6)' ) trial_num, hits, &pi_est, err end do return end subroutine test026 ( ) c*********************************************************************72 c cc TEST026 tests BURR_CDF, BURR_CDF_INV, BURR_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b logical burr_check double precision c double precision cdf double precision d integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST026' write ( *, '(a)' ) ' For the Burr PDF:' write ( *, '(a)' ) ' BURR_CDF evaluates the CDF;' write ( *, '(a)' ) ' BURR_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' BURR_PDF evaluates the PDF;' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 d = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c write ( *, '(a,g14.6)' ) ' PDF parameter D = ', d if ( .not. burr_check ( a, b, c, d ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call burr_sample ( a, b, c, d, seed, x ) call burr_pdf ( x, a, b, c, d, pdf ) call burr_cdf ( x, a, b, c, d, cdf ) call burr_cdf_inv ( cdf, a, b, c, d, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test027 ( ) c*********************************************************************72 c cc TEST027 tests BURR_MEAN, BURR_VARIANCE, BURR_SAMPLE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical burr_check double precision c double precision d integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST027' write ( *, '(a)' ) ' For the Burr PDF:' write ( *, '(a)' ) ' BURR_MEAN computes the mean;' write ( *, '(a)' ) ' BURR_VARIANCE computes the variance;' write ( *, '(a)' ) ' BURR_SAMPLE samples;' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 d = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c write ( *, '(a,g14.6)' ) ' PDF parameter D = ', d if ( .not. burr_check ( a, b, c, d ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call burr_mean ( a, b, c, d, mean ) call burr_variance ( a, b, c, d, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call burr_sample ( a, b, c, d, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test0275 ( ) c*********************************************************************72 c cc TEST0275 tests CARDIOID_CDF, CARDIOID_CDF_INV, CARDIOID_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b logical cardioid_check double precision cdf integer i double precision pdf integer seed double precision x double precision x2 a = 0.0D+00 b = 0.25D+00 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0275' write ( *, '(a)' ) ' For the Cardioid PDF:' write ( *, '(a)' ) ' CARDIOID_CDF evaluates the CDF;' write ( *, '(a)' ) ' CARDIOID_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' CARDIOID_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. cardioid_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call cardioid_sample ( a, b, seed, x ) call cardioid_pdf ( x, a, b, pdf ) call cardioid_cdf ( x, a, b, cdf ) call cardioid_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test0276 ( ) c*********************************************************************72 c cc TEST0276 tests CARDIOID_MEAN, CARDIOID_SAMPLE, CARDIOID_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical cardioid_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin a = 0.0D+00 b = 0.25D+00 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0276' write ( *, '(a)' ) ' For the Cardioid PDF:' write ( *, '(a)' ) ' CARDIOID_MEAN computes the mean;' write ( *, '(a)' ) ' CARDIOID_SAMPLE samples;' write ( *, '(a)' ) ' CARDIOID_VARIANCE computes the variance.' write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. cardioid_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call cardioid_mean ( a, b, mean ) call cardioid_variance ( a, b, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call cardioid_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test028 ( ) c*********************************************************************72 c cc TEST028 tests cauchy_cdf(), cauchy_cdf_inv(), cauchy_pdf(). c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b logical cauchy_check double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST028():' write ( *, '(a)' ) ' For the Cauchy PDF:' write ( *, '(a)' ) ' cauchy_cdf() evaluates the CDF;' write ( *, '(a)' ) ' cauchy_cdf_inv() inverts the CDF.' write ( *, '(a)' ) ' cauchy_pdf() evaluates the PDF;' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. cauchy_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) & ' X PDF CDF CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call cauchy_sample ( a, b, seed, x ) call cauchy_pdf ( x, a, b, pdf ) call cauchy_cdf ( x, a, b, cdf ) call cauchy_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine cauchy_sample_test() c*********************************************************************72 c cc cauchy_sample_test() tests cauchy_sample(). c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 01 November 2024 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical cauchy_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'cauchy_sample_test():' write ( *, '(a)' ) ' cauchy_sample() samples.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. cauchy_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' PDF mean = Infinite' write ( *, '(a)' ) ' PDF mean = Infinite' do i = 1, sample_num call cauchy_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test030 ( ) c*********************************************************************72 c cc TEST030 tests CHI_CDF, CHI_CDF_INV, CHI_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf logical chi_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST030' write ( *, '(a)' ) ' For the Chi PDF:' write ( *, '(a)' ) ' CHI_CDF evaluates the CDF.' write ( *, '(a)' ) ' CHI_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' CHI_PDF evaluates the PDF.' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. chi_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call chi_sample ( a, b, c, seed, x ) call chi_pdf ( x, a, b, c, pdf ) call chi_cdf ( x, a, b, c, cdf ) call chi_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test031 ( ) c*********************************************************************72 c cc TEST031 tests CHI_MEAN, CHI_SAMPLE, CHI_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c logical chi_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST031' write ( *, '(a)' ) ' For the Chi PDF:' write ( *, '(a)' ) ' CHI_MEAN computes the mean;' write ( *, '(a)' ) ' CHI_VARIANCE computes the variance;' write ( *, '(a)' ) ' CHI_SAMPLE samples.' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. chi_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call chi_mean ( a, b, c, mean ) call chi_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call chi_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test032 ( ) c*********************************************************************72 c cc TEST032 tests CHI_SQUARE_CDF, CHI_SQUARE_CDF_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a double precision a2 double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST032:' write ( *, '(a)' ) ' CHI_SQUARE_CDF evaluates the cumulative' write ( *, '(a)' ) ' distribution function for the chi-square cen &tral' write ( *, '(a)' ) ' probability density function.' write ( *, '(a)' ) ' CHI_SQUARE_CDF_VALUES returns some exact val &ues.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A X Exact F CHI_SQUARE_CDF(A,X) &' write ( *, '(a)' ) ' ' n_data = 0 10 continue call chi_square_cdf_values ( n_data, a, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if a2 = dble ( a ) call chi_square_cdf ( x, a2, fx2 ) write ( *, '(2x,i4,f8.4,2g14.6)' ) a, x, fx, fx2 go to 10 20 continue return end subroutine test033 ( ) c*********************************************************************72 c cc TEST033 tests CHI_SQUARE_CDF, CHI_SQUARE_CDF_INV, CHI_SQUARE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf logical chi_square_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST033' write ( *, '(a)' ) ' For the central chi square PDF:' write ( *, '(a)' ) ' CHI_SQUARE_CDF evaluates the CDF;' write ( *, '(a)' ) ' CHI_SQUARE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' CHI_SQUARE_PDF evaluates the PDF;' a = 4.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. chi_square_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call chi_square_sample ( a, seed, x ) call chi_square_pdf ( x, a, pdf ) call chi_square_cdf ( x, a, cdf ) call chi_square_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test034 ( ) c*********************************************************************72 c cc TEST034 tests CHI_SQUARE_MEAN, CHI_SQUARE_SAMPLE, CHI_SQUARE_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a logical chi_square_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST034' write ( *, '(a)' ) ' For the central chi square PDF:' write ( *, '(a)' ) ' CHI_SQUARE_MEAN computes the mean;' write ( *, '(a)' ) ' CHI_SQUARE_SAMPLE samples;' write ( *, '(a)' ) ' CHI_SQUARE_VARIANCE computes the variance.' a = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. chi_square_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call chi_square_mean ( a, mean ) call chi_square_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call chi_square_sample ( a, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test035 ( ) c*********************************************************************72 c cc TEST035 tests CHI_SQUARE_NONCENTRAL_MEAN, CHI_SQUARE_NONCENTRAL_SAMPLE, CHI_SQUARE_NONCENTRAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical chi_square_noncentral_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST035' write ( *, '(a)' ) ' For the noncentral chi square PDF:' write ( *, '(a)' ) ' CHI_SQUARE_NONCENTRAL_SAMPLE samples.' a = 3.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. chi_square_noncentral_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call chi_square_noncentral_mean ( a, b, mean ) call chi_square_noncentral_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance write ( *, '(a)' ) ' ' write ( *, '(a,i12)' ) ' Initial seed = ', seed do i = 1, sample_num call chi_square_noncentral_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a,i12)' ) ' Final seed = ', seed write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test036 ( ) c*********************************************************************72 c cc TEST036 tests CIRCLE_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c integer i integer j double precision mean(2) integer seed double precision variance(2) double precision x_table(sample_num,2) double precision x1 double precision x2 double precision xmax(2) double precision xmin(2) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST036' write ( *, '(a)' ) ' CIRCLE_SAMPLE samples points in a circle.' a = 10.0D+00 b = 4.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' X coordinate of center is A = ', a write ( *, '(a,g14.6)' ) ' Y coordinate of center is B = ', b write ( *, '(a,g14.6)' ) ' Radius is C = ', c do i = 1, sample_num call circle_sample ( a, b, c, seed, x1, x2 ) x_table(i,1) = x1 x_table(i,2) = x2 end do do j = 1, 2 call r8vec_mean ( sample_num, x_table(1,j), mean(j) ) call r8vec_variance ( sample_num, x_table(1,j), variance(j) ) call r8vec_max ( sample_num, x_table(1,j), xmax(j) ) call r8vec_min ( sample_num, x_table(1,j), xmin(j) ) end do write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,2g14.6)' ) ' Sample mean = ', mean(1:2) write ( *, '(a,2g14.6)' ) ' Sample variance = ', variance(1:2) write ( *, '(a,2g14.6)' ) ' Sample maximum = ', xmax(1:2) write ( *, '(a,2g14.6)' ) ' Sample minimum = ', xmin(1:2) return end subroutine test037 ( ) c*********************************************************************72 c cc TEST037 tests CIRCULAR_NORMAL_01_*. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i integer j double precision mean(2) integer seed double precision variance(2) double precision x(2) double precision x_table(sample_num,2) double precision xmax(2) double precision xmin(2) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST037' write ( *, '(a)' ) ' For the Circular Normal 01 PDF:' write ( *, '(a)' ) ' CIRCULAR_NORMAL_01_MEAN computes the mean;' write ( *, '(a)' ) ' CIRCULAR_NORMAL_01_SAMPLE samples;' write ( *, '(a)' ) ' CIRCULAR_NORMAL_01_VARIANCE computes varianc &e.' call circular_normal_01_mean ( mean ) call circular_normal_01_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,2g14.6)' ) ' PDF means = ', mean(1:2 &) write ( *, '(a,2g14.6)' ) ' PDF variances = ', variance &(1:2) do i = 1, sample_num call circular_normal_01_sample ( seed, x ) x_table(i,1) = x(1) x_table(i,2) = x(2) end do do j = 1, 2 call r8vec_mean ( sample_num, x_table(1,j), mean(j) ) call r8vec_variance ( sample_num, x_table(1,j), variance(j) ) call r8vec_max ( sample_num, x_table(1,j), xmax(j) ) call r8vec_min ( sample_num, x_table(1,j), xmin(j) ) end do write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,2g14.6)' ) ' Sample mean = ', mean(1:2) write ( *, '(a,2g14.6)' ) ' Sample variance = ', variance(1:2) write ( *, '(a,2g14.6)' ) ' Sample maximum = ', xmax(1:2) write ( *, '(a,2g14.6)' ) ' Sample minimum = ', xmin(1:2) return end subroutine test0375 ( ) c*********************************************************************72 c cc TEST0375 tests CIRCULAR_NORMAL*. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a(2) double precision b integer i integer j double precision mean(2) integer seed double precision variance(2) double precision x(2) double precision x_table(sample_num,2) double precision xmax(2) double precision xmin(2) seed = 123456789 a(1) = 1.0D+00 a(2) = 5.0D+00 b = 0.75D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0375' write ( *, '(a)' ) ' For the Circular Normal PDF:' write ( *, '(a)' ) ' CIRCULAR_NORMAL_MEAN computes the mean;' write ( *, '(a)' ) ' CIRCULAR_NORMAL_SAMPLE samples;' write ( *, '(a)' ) ' CIRCULAR_NORMAL_VARIANCE computes variance.' call circular_normal_mean ( a, b, mean ) call circular_normal_variance ( a, b, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,2g14.6)' ) ' PDF means = ', mean(1:2 &) write ( *, '(a,2g14.6)' ) ' PDF variances = ', variance &(1:2) do i = 1, sample_num call circular_normal_sample ( a, b, seed, x ) x_table(i,1) = x(1) x_table(i,2) = x(2) end do do j = 1, 2 call r8vec_mean ( sample_num, x_table(1,j), mean(j) ) call r8vec_variance ( sample_num, x_table(1,j), variance(j) ) call r8vec_max ( sample_num, x_table(1,j), xmax(j) ) call r8vec_min ( sample_num, x_table(1,j), xmin(j) ) end do write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,2g14.6)' ) ' Sample mean = ', mean(1:2) write ( *, '(a,2g14.6)' ) ' Sample variance = ', variance(1:2) write ( *, '(a,2g14.6)' ) ' Sample maximum = ', xmax(1:2) write ( *, '(a,2g14.6)' ) ' Sample minimum = ', xmin(1:2) return end subroutine test038 ( ) c*********************************************************************72 c cc TEST038 tests COSINE_CDF, COSINE_CDF_INV, COSINE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf logical cosine_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST038' write ( *, '(a)' ) ' For the Cosine PDF:' write ( *, '(a)' ) ' COSINE_CDF evaluates the CDF.' write ( *, '(a)' ) ' COSINE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' COSINE_PDF evaluates the PDF.' a = 2.0D+00 b = 1.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. cosine_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call cosine_sample ( a, b, seed, x ) call cosine_pdf ( x, a, b, pdf ) call cosine_cdf ( x, a, b, cdf ) call cosine_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test039 ( ) c*********************************************************************72 c cc TEST039 tests COSINE_MEAN, COSINE_SAMPLE, COSINE_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical cosine_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST039' write ( *, '(a)' ) ' For the Cosine PDF:' write ( *, '(a)' ) ' COSINE_MEAN computes the mean;' write ( *, '(a)' ) ' COSINE_SAMPLE samples;' write ( *, '(a)' ) ' COSINE_VARIANCE computes the variance.' a = 2.0D+00 b = 1.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. cosine_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call cosine_mean ( a, b, mean ) call cosine_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call cosine_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test0395 ( ) c*********************************************************************72 c cc TEST0395 tests COUPON_COMPLETE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer box_num double precision cdf double precision pdf integer type_num write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0395' write ( *, '(a)' ) ' COUPON_COMPLETE_PDF evaluates the coupon col &lector''s' write ( *, '(a)' ) ' complete collection pdf.' write ( *, '(a)' ) ' ' do type_num = 2, 4 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Number of coupon types is ', type_num write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' BOX_NUM PDF CDF' write ( *, '(a)' ) ' ' cdf = 0.0D+00 do box_num = 1, 20 call coupon_complete_pdf ( type_num, box_num, pdf ) cdf = cdf + pdf write ( *, '(2x,i8,2x,g14.6,2x,g14.6)' ) box_num, pdf, cdf end do end do return end subroutine test040 ( ) c*********************************************************************72 c cc TEST040 tests COUPON_SIMULATE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n_trial parameter ( n_trial = 10 ) integer max_type parameter ( max_type = 25 ) double precision average integer coupon(max_type) double precision expect integer i integer n_coupon integer n_type integer seed seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST040' write ( *, '(a)' ) ' COUPON_SIMULATE simulates the coupon ' write ( *, '(a)' ) ' collector''s problem.' write ( *, '(a)' ) ' ' do n_type = 5, max_type, 5 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Number of coupon types is ', n_type expect = dble ( n_type ) * log ( dble ( n_type ) ) write ( *, '(a,g14.6)' ) ' Expected wait is about ', expect write ( *, '(a)' ) ' ' average = 0.0D+00 do i = 1, n_trial call coupon_simulate ( n_type, seed, coupon, n_coupon ) write ( *, '(2i5)' ) i, n_coupon average = average + dble ( n_coupon ) end do average = average / dble ( n_trial ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' Average wait was ', average end do return end subroutine test041 ( ) c*********************************************************************72 c cc TEST041 tests DERANGED_CDF, DERANGED_CDF_INV and DERANGED_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a double precision cdf logical deranged_check integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST041' write ( *, '(a)' ) ' For the Deranged PDF:' write ( *, '(a)' ) ' DERANGED_CDF evaluates the CDF;' write ( *, '(a)' ) ' DERANGED_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' DERANGED_PDF evaluates the PDF;' a = 7 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a if ( .not. deranged_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call deranged_sample ( a, seed, x ) call deranged_pdf ( x, a, pdf ) call deranged_cdf ( x, a, cdf ) call deranged_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test042 ( ) c*********************************************************************72 c cc TEST042 tests DERANGED_CDF and DERANGED_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a double precision cdf logical deranged_check double precision pdf integer x a = 7 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST042' write ( *, '(a)' ) ' For the Deranged PDF:' write ( *, '(a)' ) ' DERANGED_PDF evaluates the PDF.' write ( *, '(a)' ) ' DERANGED_CDF evaluates the CDF.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a if ( .not. deranged_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF(X) CDF(X)' write ( *, '(a)' ) ' ' do x = 0, a call deranged_pdf ( x, a, pdf ) call deranged_cdf ( x, a, cdf ) write ( *, '(2x,i8,2g14.6)' ) x, pdf, cdf end do return end subroutine test043 ( ) c*********************************************************************72 c cc TEST043 tests DERANGED_MEAN, DERANGED_VARIANCE and DERANGED_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer a logical deranged_check integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST043' write ( *, '(a)' ) ' For the Deranged PDF:' write ( *, '(a)' ) ' DERANGED_MEAN computes the mean.' write ( *, '(a)' ) ' DERANGED_VARIANCE computes the variance.' write ( *, '(a)' ) ' DERANGED_SAMPLE samples.' a = 7 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a if ( .not. deranged_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call deranged_mean ( a, mean ) call deranged_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call deranged_sample ( a, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test044 ( ) c*********************************************************************72 c cc TEST044 tests DIGAMMA and PSI_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision digamma double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST044:' write ( *, '(a)' ) ' DIGAMMA evaluates the DIGAMMA or PSI functio &n.' write ( *, '(a)' ) ' PSI_VALUES returns some exact values.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X Exact F DIGAMMA(X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call psi_values ( n_data, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if if ( x .le. 0.0D+00 ) then go to 10 end if fx2 = digamma ( x ) write ( *, '(f8.4,2g14.6)' ) x, fx, fx2 go to 10 20 continue return end subroutine test045 ( ) c*********************************************************************72 c cc TEST045 tests DIPOLE_CDF, DIPOLE_CDF_INV and DIPOLE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer test_num parameter ( test_num = 3 ) double precision a double precision atest(test_num) double precision b double precision btest(test_num) double precision cdf double precision r8_pi logical dipole_check integer i integer itest double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST045' write ( *, '(a)' ) ' For the Dipole PDF:' write ( *, '(a)' ) ' DIPOLE_CDF evaluates the CDF.' write ( *, '(a)' ) ' DIPOLE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' DIPOLE_PDF evaluates the PDF.' atest(1) = 0.0D+00 btest(1) = 1.0D+00 atest(2) = r8_pi() / 4.0D+00 btest(2) = 0.5D+00 atest(3) = r8_pi() / 2.0D+00 btest(3) = 0.0D+00 do itest = 1, test_num a = atest(itest) b = btest(itest) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. dipole_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call dipole_sample ( a, b, seed, x ) call dipole_pdf ( x, a, b, pdf ) call dipole_cdf ( x, a, b, cdf ) call dipole_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do end do return end subroutine test046 ( ) c*********************************************************************72 c cc TEST046 tests DIPOLE_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer test_num parameter ( test_num = 3 ) double precision a double precision a_test(test_num) double precision b double precision b_test(test_num) logical dipole_check integer i double precision mean integer seed integer test double precision variance double precision x(sample_num) double precision xmax double precision xmin save a_test save b_test data a_test / & 0.0D+00, 0.785398163397448D+00, 1.57079632679490D+00 / data b_test / & 1.0D+00, 0.5D+00, 0.0D+00 / seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST046' write ( *, '(a)' ) ' For the Dipole PDF:' write ( *, '(a)' ) ' DIPOLE_SAMPLE samples.' do test = 1, test_num a = a_test(test) b = b_test(test) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. dipole_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if do i = 1, sample_num call dipole_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin end do return end subroutine test047 ( ) c*********************************************************************72 c cc TEST047 tests DIRICHLET_MEAN, DIRICHLET_SAMPLE and DIRICHLET_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n parameter ( n = 3 ) integer sample_num parameter ( sample_num = 1000 ) double precision a(n) logical dirichlet_check integer i double precision mean(n) double precision m2(n,n) integer seed double precision variance(n) double precision x(n,sample_num) double precision xmax(n) double precision xmin(n) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST047' write ( *, '(a)' ) ' For the Dirichlet PDF:' write ( *, '(a)' ) ' DIRICHLET_SAMPLE samples;' write ( *, '(a)' ) ' DIRICHLET_MEAN computes the mean;' write ( *, '(a)' ) ' DIRICHLET_VARIANCE computes the variance.' a(1:n) = (/ 0.250D+00, 0.500D+00, 1.250D+00 /) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Number of components N = ', n call r8vec_print ( n, a, ' PDF parameters A:' ) write ( *, '(a)' ) ' PDF parameters A(1:N):' if ( .not. dirichlet_check ( n, a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call dirichlet_mean ( n, a, mean ) call dirichlet_variance ( n, a, variance ) call r8vec_print ( n, mean, ' PDF mean:' ) call r8vec_print ( n, variance, ' PDF variance:' ) call dirichlet_moment2 ( n, a, m2 ) call r8mat_print ( n, n, m2, ' Second moments:' ) do i = 1, sample_num call dirichlet_sample ( n, a, seed, x(1,i) ) end do call r8row_max ( n, sample_num, x, xmax ) call r8row_min ( n, sample_num, x, xmin ) call r8row_mean ( n, sample_num, x, mean ) call r8row_variance ( n, sample_num, x, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Observed Mean, Variance, Max, Min:' write ( *, '(a)' ) ' ' do i = 1, n write ( *, '(2x,i8,4g14.6)' ) i, mean(i), variance(i), xmax(i), &xmin(i) end do return end subroutine test048 ( ) c*********************************************************************72 c cc TEST048 tests DIRICHLET_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n parameter ( n = 3 ) double precision a(n) logical dirichlet_check double precision pdf double precision x(n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST048' write ( *, '(a)' ) ' For the Dirichlet PDF:' write ( *, '(a)' ) ' DIRICHLET_PDF evaluates the PDF.' a(1:3) = (/ 0.250D+00, 0.500D+00, 1.250D+00 /) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Number of components N = ', n call r8vec_print ( n, a, ' PDF parameters A:' ) if ( .not. dirichlet_check ( n, a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if x(1:3) = (/ 0.500D+00, 0.125D+00, 0.375D+00 /) call r8vec_print ( n, x, ' PDF argument X: ' ) call dirichlet_pdf ( x, n, a, pdf ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF value = ', pdf return end subroutine test049 ( ) c*********************************************************************72 c cc TEST049 tests DIRICHLET_MIX_MEAN and DIRICHLET_MIX_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer comp_num parameter ( comp_num = 2 ) integer elem_num parameter ( elem_num = 3 ) integer sample_num parameter ( sample_num = 1000 ) double precision a(elem_num,comp_num) integer comp double precision comp_weight(comp_num) logical dirichlet_mix_check integer elem_i integer j double precision mean(elem_num) integer seed double precision variance(elem_num) double precision x(elem_num,sample_num) double precision xmax(elem_num) double precision xmin(elem_num) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST049' write ( *, '(a)' ) ' For the Dirichlet Mixture PDF:' write ( *, '(a)' ) ' DIRICHLET_MIX_SAMPLE samples;' write ( *, '(a)' ) ' DIRICHLET_MIX_MEAN computes the mean;' a(1,1) = 0.250D+00 a(2,1) = 0.500D+00 a(3,1) = 1.250D+00 a(1,2) = 1.500D+00 a(2,2) = 0.500D+00 a(3,2) = 2.000D+00 comp_weight(1) = 1.0D+00 comp_weight(2) = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Number of elements ELEM_NUM = ', elem_n &um write ( *, '(a,i8)' ) ' Number of components COMP_NUM = ', comp_n &um call r8mat_print ( elem_num, comp_num, a, ' PDF parameters A(ELEM &,COMP):' ) call r8vec_print ( comp_num, comp_weight, ' Component weights' ) if ( .not. dirichlet_mix_check ( comp_num, elem_num, a, comp_weigh &t ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call dirichlet_mix_mean ( comp_num, elem_num, a, comp_weight, mean & ) call r8vec_print ( elem_num, mean, ' PDF means: ' ) do j = 1, sample_num call dirichlet_mix_sample ( comp_num, elem_num, a, comp_we &ight, seed, comp, x(1,j) ) end do call r8row_max ( elem_num, sample_num, x, xmax ) call r8row_min ( elem_num, sample_num, x, xmin ) call r8row_mean ( elem_num, sample_num, x, mean ) call r8row_variance ( elem_num, sample_num, x, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Observed Mean, Variance, Max, Min:' write ( *, '(a)' ) ' ' do elem_i = 1, elem_num write ( *, '(2x,i8,4g14.6)' ) elem_i, mean(elem_i), varian &ce(elem_i), xmax(elem_i), xmin(elem_i) end do return end subroutine test050 ( ) c*********************************************************************72 c cc TEST050 tests DIRICHLET_MIX_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer comp_num parameter ( comp_num = 2 ) integer elem_num parameter ( elem_num = 3 ) double precision a(elem_num,comp_num) double precision comp_weight(comp_num) logical dirichlet_mix_check double precision pdf double precision x(elem_num) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST050' write ( *, '(a)' ) ' For the Dirichlet mixture PDF:' write ( *, '(a)' ) ' DIRICHLET_MIX_PDF evaluates the PDF.' a(1,1) = 0.250D+00 a(2,1) = 0.500D+00 a(3,1) = 1.250D+00 a(1,2) = 1.500D+00 a(2,2) = 0.500D+00 a(3,2) = 2.000D+00 comp_weight(1:2) = (/ 1.0D+00, 2.0D+00 /) write ( *, '(a,i8)' ) ' Number of elements ELEM_NUM = ', elem_n &um write ( *, '(a,i8)' ) ' Number of components COMP_NUM = ', comp_n &um call r8mat_print ( elem_num, comp_num, a, ' PDF parameters A(ELEM &,COMP):' ) call r8vec_print ( comp_num, comp_weight, ' Component weights' ) if ( .not. dirichlet_mix_check ( comp_num, elem_num, a, comp_weigh &t ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if x(1:3) = (/ 0.500D+00, 0.125D+00, 0.375D+00 /) call r8vec_print ( elem_num, x, ' PDF argument X: ' ) call dirichlet_mix_pdf ( x, comp_num, elem_num, a, comp_weight, & pdf ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF value = ', pdf return end subroutine test051 ( ) c*********************************************************************72 c cc TEST051 tests BETA_PDF and DIRICHLET_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n parameter ( n = 2 ) double precision a double precision aval double precision avec(n) double precision b double precision bval logical dirichlet_check double precision pdf double precision x double precision xval double precision xvec(n) xval = 0.25D+00 aval = 2.50D+00 bval = 3.50D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST051' write ( *, '(a)' ) ' BETA_PDF evaluates the Beta PDF.' write ( *, '(a)' ) ' DIRICHLET_PDF evaluates the Dirichlet PDF.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' For N = 2, Dirichlet = Beta.' xvec(1) = xval xvec(2) = 1.0D+00 - xval avec(1:2) = (/ aval, bval /) if ( .not. dirichlet_check ( n, avec ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Number of components N = ', n call r8vec_print ( n, avec, ' PDF parameter A: ' ) call r8_print ( x, ' PDF argument X: ' ) call dirichlet_pdf ( xvec, n, avec, pdf ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' Dirichlet PDF value = ', pdf x = xval a = aval b = bval call beta_pdf ( x, a, b, pdf ) write ( *, '(a,g14.6)' ) ' Beta PDF value = ', pdf return end subroutine test052 ( ) c*********************************************************************72 c cc TEST052 tests DISCRETE_CDF, DISCRETE_CDF_INV and DISCRETE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a parameter ( a = 6 ) double precision b(a) double precision cdf logical discrete_check integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST052' write ( *, '(a)' ) ' For the Discrete PDF:' write ( *, '(a)' ) ' DISCRETE_CDF evaluates the CDF;' write ( *, '(a)' ) ' DISCRETE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' DISCRETE_PDF evaluates the PDF;' b(1:6) = (/ 1.0D+00, 2.0D+00, 6.0D+00, 2.0D+00, 4.0D+00, 1.0D+00 / &) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a call r8vec_print ( a, b, ' PDF parameters B = ' ) if ( .not. discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call discrete_sample ( a, b, seed, x ) call discrete_pdf ( x, a, b, pdf ) call discrete_cdf ( x, a, b, cdf ) call discrete_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test053 ( ) c*********************************************************************72 c cc TEST053 tests DISCRETE_MEAN, DISCRETE_SAMPLE and DISCRETE_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a parameter ( a = 6 ) integer sample_num parameter ( sample_num = 1000 ) double precision b(a) logical discrete_check integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST053' write ( *, '(a)' ) ' For the Discrete PDF:' write ( *, '(a)' ) ' DISCRETE_MEAN computes the mean;' write ( *, '(a)' ) ' DISCRETE_SAMPLE samples;' write ( *, '(a)' ) ' DISCRETE_VARIANCE computes the variance.' b(1:6) = (/ 1.0D+00, 2.0D+00, 6.0D+00, 2.0D+00, 4.0D+00, 1.0D+00 / &) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a call r8vec_print ( a, b, ' PDF parameters B = ' ) if ( .not. discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call discrete_mean ( a, b, mean ) call discrete_variance ( a, b, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call discrete_sample ( a, b, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test054 ( ) c*********************************************************************72 c cc TEST054 tests EMPIRICAL_DISCRETE_*; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a parameter ( a = 6 ) double precision, save, dimension ( a ) :: b = (/ 1.0D+00, 1. &0D+00, 3.0D+00, 2.0D+00, 1.0D+00, 2.0D+00 /) double precision, save, dimension ( a ) :: c = (/ 0.0D+00, 1. &0D+00, 2.0D+00, 4.5D+00, 6.0D+00, 10.0D+00 /) double precision cdf logical empirical_discrete_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST054' write ( *, '(a)' ) ' For the Empirical Discrete PDF:' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_CDF evaluates the CDF;' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a call r8vec_print ( a, b, ' PDF parameter B:' ) call r8vec_print ( a, c, ' PDF parameter C:' ) if ( .not. empirical_discrete_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call empirical_discrete_sample ( a, b, c, seed, x ) call empirical_discrete_pdf ( x, a, b, c, pdf ) call empirical_discrete_cdf ( x, a, b, c, cdf ) call empirical_discrete_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test055 ( ) c*********************************************************************72 c cc TEST055 tests EMPIRICAL_DISCRETE_*. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a parameter ( a = 6 ) integer sample_num parameter ( sample_num = 1000 ) double precision, save, dimension ( a ) :: b = (/ 1.0D+00, 1. &0D+00, 3.0D+00, 2.0D+00, 1.0D+00, 2.0D+00 /) double precision, save, dimension ( a ) :: c = (/ 0.0D+00, 1. &0D+00, 2.0D+00, 4.5D+00, 6.0D+00, 10.0D+00 /) logical empirical_discrete_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST055' write ( *, '(a)' ) ' For the Empirical Discrete PDF:' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_MEAN computes the mean;' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_SAMPLE samples;' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_VARIANCE computes the var &iance.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a call r8vec_print ( a, b, ' PDF parameter B:' ) call r8vec_print ( a, c, ' PDF parameter C:' ) if ( .not. empirical_discrete_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call empirical_discrete_mean ( a, b, c, mean ) call empirical_discrete_variance ( a, b, c, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call empirical_discrete_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test056 ( ) c*********************************************************************72 c cc TEST056 tests EMPIRICAL_DISCRETE_CDF and EMPIRICAL_DISCRETE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a parameter ( a = 6 ) double precision, save, dimension ( a ) :: b = (/ 1.0D+00, 1. &0D+00, 3.0D+00, 2.0D+00, 1.0D+00, 2.0D+00 /) double precision, save, dimension ( a ) :: c = (/ 0.0D+00, 1. &0D+00, 2.0D+00, 4.5D+00, 6.0D+00, 10.0D+00 /) double precision cdf logical empirical_discrete_check integer i double precision pdf double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST056' write ( *, '(a)' ) ' For the Empirical Discrete PDF.' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_PDF evaluates the PDF.' write ( *, '(a)' ) ' EMPIRICAL_DISCRETE_CDF evaluates the CDF.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a call r8vec_print ( a, b, ' PDF parameter B:' ) call r8vec_print ( a, c, ' PDF parameter C:' ) if ( .not. empirical_discrete_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF(X) CDF(X)' write ( *, '(a)' ) ' ' do i = -2, 12 x = dble ( i ) call empirical_discrete_pdf ( x, a, b, c, pdf ) call empirical_discrete_cdf ( x, a, b, c, cdf ) write ( *, '(2x,f8.4,2g14.6)' ) x, pdf, cdf end do return end subroutine test0563 ( ) c*********************************************************************72 c cc TEST0563 tests ENGLISH_SENTENCE_LENGTH_*. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0563' write ( *, '(a)' ) ' For the English Sentence Length PDF:' write ( *, '(a)' ) ' ENGLISH_SENTENCE_LENGTH_CDF evaluates the CD &F;' write ( *, '(a)' ) ' ENGLISH_SENTENCE_LENGTH_CDF_INV inverts the &CDF.' write ( *, '(a)' ) ' ENGLISH_SENTENCE_LENGTH_PDF evaluates the PD &F;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call english_sentence_length_sample ( seed, x ) call english_sentence_length_pdf ( x, pdf ) call english_sentence_length_cdf ( x, cdf ) call english_sentence_length_cdf_inv ( cdf, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test0564 ( ) c*********************************************************************72 c cc TEST0564 tests ENGLISH_SENTENCE_LENGTH_*. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0564' write ( *, '(a)' ) ' For the English Sentence Length PDF:' write ( *, '(a)' ) ' ENGLISH_SENTENCE_LENGTH_MEAN computes the me &an;' write ( *, '(a)' ) ' ENGLISH_SENTENCE_LENGTH_SAMPLE samples;' write ( *, '(a)' ) ' ENGLISH_SENTENCE_LENGTH_VARIANCE computes th &e variance.' call english_sentence_length_mean ( mean ) call english_sentence_length_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call english_sentence_length_sample ( seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test0565 ( ) c*********************************************************************72 c cc TEST0565 tests ENGLISH_WORD_LENGTH_*. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0565' write ( *, '(a)' ) ' For the English Word Length PDF:' write ( *, '(a)' ) ' ENGLISH_WORD_LENGTH_CDF evaluates the CDF;' write ( *, '(a)' ) ' ENGLISH_WORD_LENGTH_CDF_INV inverts the CDF. &' write ( *, '(a)' ) ' ENGLISH_WORD_LENGTH_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call english_word_length_sample ( seed, x ) call english_word_length_pdf ( x, pdf ) call english_word_length_cdf ( x, cdf ) call english_word_length_cdf_inv ( cdf, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test0566 ( ) c*********************************************************************72 c cc TEST0566 tests ENGLISH_WORD_LENGTH_*. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0566' write ( *, '(a)' ) ' For the English Word Length PDF:' write ( *, '(a)' ) ' ENGLISH_WORD_LENGTH_MEAN computes the mean;' write ( *, '(a)' ) ' ENGLISH_WORD_LENGTH_SAMPLE samples;' write ( *, '(a)' ) ' ENGLISH_WORD_LENGTH_VARIANCE computes the va &riance.' call english_word_length_mean ( mean ) call english_word_length_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call english_word_length_sample ( seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test057 ( ) c*********************************************************************72 c cc TEST057 tests ERLANG_CDF, ERLANG_CDF_INV and ERLANG_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b integer c double precision cdf logical erlang_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST057' write ( *, '(a)' ) ' For the Erlang PDF:' write ( *, '(a)' ) ' ERLANG_CDF evaluates the CDF.' write ( *, '(a)' ) ' ERLANG_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' ERLANG_PDF evaluates the PDF.' a = 1.0D+00 b = 2.0D+00 c = 3 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,i8)' ) ' PDF parameter C = ', c if ( .not. erlang_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call erlang_sample ( a, b, c, seed, x ) call erlang_pdf ( x, a, b, c, pdf ) call erlang_cdf ( x, a, b, c, cdf ) call erlang_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test058 ( ) c*********************************************************************72 c cc TEST058 tests ERLANG_MEAN, ERLANG_SAMPLE and ERLANG_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer c logical erlang_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST058' write ( *, '(a)' ) ' For the Erlang PDF:' write ( *, '(a)' ) ' ERLANG_MEAN computes the mean;' write ( *, '(a)' ) ' ERLANG_SAMPLE samples;' write ( *, '(a)' ) ' ERLANG_VARIANCE computes the variance.' a = 1.0D+00 b = 2.0D+00 c = 3 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,i8)' ) ' PDF parameter C = ', c if ( .not. erlang_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call erlang_mean ( a, b, c, mean ) call erlang_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call erlang_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test059 ( ) c*********************************************************************72 c cc TEST059 tests ERROR_F and ERROR_F_INVERSE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision error_f double precision error_f_inverse integer i integer seed double precision x double precision y double precision z write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST059' write ( *, '(a)' ) ' ERROR_F evaluates the error function erf(x). &' write ( *, '(a)' ) ' ERROR_F_INVERSE inverts the error function.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'X -> Y = error_F(X) -> Z = error_f_inverse(Y &)' write ( *, '(a)' ) ' ' seed = 123456789 do i = 1, 20 call normal_01_sample ( seed, x ) y = error_f ( x ) z = error_f_inverse ( y ) write ( *, '(2x,g14.6,2x,g14.6,2x,g14.6)' ) x, y, z end do return end subroutine test060 ( ) c*********************************************************************72 c cc TEST060 tests EXPONENTIAL_01_CDF, EXPONENTIAL_01_CDF_INV, EXPONENTIAL_01_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST060' write ( *, '(a)' ) ' For the Exponential 01 PDF:' write ( *, '(a)' ) ' EXPONENTIAL_01_CDF evaluates the CDF.' write ( *, '(a)' ) ' EXPONENTIAL_01_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' EXPONENTIAL_01_PDF evaluates the PDF.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call exponential_01_sample ( seed, x ) call exponential_01_pdf ( x, pdf ) call exponential_01_cdf ( x, cdf ) call exponential_01_cdf_inv ( cdf, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test061 ( ) c*********************************************************************72 c cc TEST061 tests EXPONENTIAL_01_MEAN, EXPONENTIAL_01_SAMPLE, EXPONENTIAL_01_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i integer seed double precision mean double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST061' write ( *, '(a)' ) ' For the Exponential 01_PDF:' write ( *, '(a)' ) ' EXPONENTIAL_01_MEAN computes the mean;' write ( *, '(a)' ) ' EXPONENTIAL_01_SAMPLE samples;' write ( *, '(a)' ) ' EXPONENTIAL_01_VARIANCE computes the varianc &e.' call exponential_01_mean ( mean ) call exponential_01_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call exponential_01_sample ( seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test062 ( ) c*********************************************************************72 c cc TEST062 tests EXPONENTIAL_CDF, EXPONENTIAL_CDF_INV, EXPONENTIAL_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf logical exponential_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST062' write ( *, '(a)' ) ' For the Exponential CDF:' write ( *, '(a)' ) ' EXPONENTIAL_CDF evaluates the CDF.' write ( *, '(a)' ) ' EXPONENTIAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' EXPONENTIAL_PDF evaluates the PDF.' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. exponential_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call exponential_sample ( a, b, seed, x ) call exponential_pdf ( x, a, b, pdf ) call exponential_cdf ( x, a, b, cdf ) call exponential_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test063 ( ) c*********************************************************************72 c cc TEST063 tests EXPONENTIAL_MEAN, EXPONENTIAL_SAMPLE, EXPONENTIAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical exponential_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST063' write ( *, '(a)' ) ' For the Exponential PDF:' write ( *, '(a)' ) ' EXPONENTIAL_MEAN computes the mean;' write ( *, '(a)' ) ' EXPONENTIAL_SAMPLE samples;' write ( *, '(a)' ) ' EXPONENTIAL_VARIANCE computes the variance.' a = 1.0D+00 b = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. exponential_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call exponential_mean ( a, b, mean ) call exponential_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call exponential_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test064 ( ) c*********************************************************************72 c cc TEST064 tests EXTREME_VALUES_CDF, EXTREME_VALUES_CDF_INV, EXTREME_VALUES_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf logical extreme_values_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST064' write ( *, '(a)' ) ' For the Extreme Values CDF:' write ( *, '(a)' ) ' EXTREME_VALUES_CDF evaluates the CDF;' write ( *, '(a)' ) ' EXTREME_VALUES_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' EXTREME_VALUES_PDF evaluates the PDF;' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. extreme_values_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call extreme_values_sample ( a, b, seed, x ) call extreme_values_pdf ( x, a, b, pdf ) call extreme_values_cdf ( x, a, b, cdf ) call extreme_values_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test065 ( ) c*********************************************************************72 c cc TEST065 tests EXTREME_VALUES_MEAN, *_SAMPLE, *_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical extreme_values_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST065' write ( *, '(a)' ) ' For the Extreme Values PDF:' write ( *, '(a)' ) ' EXTREME_VALUES_MEAN computes the mean;' write ( *, '(a)' ) ' EXTREME_VALUES_SAMPLE samples;' write ( *, '(a)' ) ' EXTREME_VALUES_VARIANCE computes the varianc &e.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. extreme_values_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call extreme_values_mean ( a, b, mean ) call extreme_values_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call extreme_values_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test066 ( ) c*********************************************************************72 c cc TEST066 tests F_CDF and F_CDF_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a integer b double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST066:' write ( *, '(a)' ) ' F_CDF evaluates the F central CDF.' write ( *, '(a)' ) ' F_CDF_VALUES returns some exact values.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A B X Exact F F_ &CDF(A,B,X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call f_cdf_values ( n_data, a, b, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if call f_cdf ( x, a, b, fx2 ) write ( *, '(2x,i8,2x,i8,2x,f8.4,2g14.6)' ) a, b, x, fx, fx2 go to 10 20 continue return end subroutine test067 ( ) c*********************************************************************72 c cc TEST067 tests F_CDF, F_PDF and F_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf logical f_check integer i integer m integer n double precision pdf integer seed double precision x seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST067' write ( *, '(a)' ) ' For the central F PDF:' write ( *, '(a)' ) ' F_CDF evaluates the CDF.' write ( *, '(a)' ) ' F_PDF evaluates the PDF.' write ( *, '(a)' ) ' F_SAMPLE samples the PDF.' m = 1 n = 1 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter M = ', m write ( *, '(a,i8)' ) ' PDF parameter N = ', n if ( .not. f_check ( m, n ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF' write ( *, '(a)' ) ' ' do i = 1, 10 call f_sample ( m, n, seed, x ) call f_pdf ( x, m, n, pdf ) call f_cdf ( x, m, n, cdf ) write ( *, '(2x,g14.6,2x,g14.6,2x,g14.6)' ) x, pdf, cdf end do return end subroutine test068 ( ) c*********************************************************************72 c cc TEST068 tests F_MEAN, F_SAMPLE, F_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) logical f_check integer i integer m double precision mean integer n integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST068' write ( *, '(a)' ) ' For the central F PDF:' write ( *, '(a)' ) ' F_MEAN computes the mean;' write ( *, '(a)' ) ' F_SAMPLE samples;' write ( *, '(a)' ) ' F_VARIANCE computes the varianc.' m = 8 n = 6 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter M = ', m write ( *, '(a,i8)' ) ' PDF parameter N = ', n if ( .not. f_check ( m, n ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call f_mean ( m, n, mean ) call f_variance ( m, n, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call f_sample ( m, n, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test069 ( ) c*********************************************************************72 c cc TEST069 tests FACTORIAL_LOG and GAMMA_LOG_INT; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision f double precision factorial_log double precision g double precision gamma_log_int integer i write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST069' write ( *, '(a)' ) ' FACTORIAL_LOG evaluates the log of the f &actorial function;' write ( *, '(a)' ) ' GAMMA_LOG_INT evaluates the log for integer &argument.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'I GAMMA_LOG_INT(I+1) FACTORIAL_LOG(I)' write ( *, '(a)' ) ' ' do i = 1, 20 g = gamma_log_int ( i + 1 ) f = factorial_log ( i ) write ( *, '(2x,i8,2x,g14.6,2x,g14.6)' ) i, g, f end do return end subroutine test070 ( ) c*********************************************************************72 c cc TEST070 tests FACTORIAL_STIRLING and I4_FACTORIAL; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer i4_factorial double precision factorial_stirling integer i double precision value write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST070' write ( *, '(a)' ) ' FACTORIAL_STIRLING computes Stirling''s' write ( *, '(a)' ) ' approximate factorial function;' write ( *, '(a)' ) ' I4_FACTORIAL evaluates the factorial functio &n;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' N Stirling N!' write ( *, '(a)' ) ' ' do i = 0, 13 value = factorial_stirling ( i ) write ( *, '(2x,i8,2x,g14.6,2x,i20)' ) & i, value, i4_factorial ( i ) end do return end subroutine test07025 ( ) c*********************************************************************72 c cc TEST07025 tests FERMI_DIRAC_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer test_num parameter ( test_num = 7 ) integer i double precision mean integer seed integer test double precision u double precision u_test(test_num) double precision v double precision v_test(test_num) double precision variance double precision z(sample_num) double precision z_max double precision z_min save u_test save v_test data u_test / & 1.0D+00, 2.0D+00, 4.0D+00, 8.0D+00, 16.0D+00, & 32.0D+00, 1.0D+00 / data v_test / & 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, 1.0D+00, & 1.0D+00, 0.25D+00 / write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST07025' write ( *, '(a)' ) ' Test FERMI_DIRAC_SAMPLE:' do test = 1, test_num u = u_test(test) v = v_test(test) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' U = ', u write ( *, '(a,g14.6)' ) ' V = ', v write ( *, '(a,i8)' ) ' SAMPLE_NUM = ', sample_num write ( *, '(a,i12)' ) ' SEED = ', seed do i = 1, sample_num call fermi_dirac_sample ( u, v, seed, z(i) ) end do call r8vec_max ( sample_num, z, z_max ) call r8vec_min ( sample_num, z, z_min ) call r8vec_mean ( sample_num, z, mean ) call r8vec_variance ( sample_num, z, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' Minimum value = ', z_min write ( *, '(a,g14.6)' ) ' Maximum value = ', z_max write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance end do return end subroutine test0705 ( ) c*********************************************************************72 c cc TEST0705 tests FISHER_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n parameter ( n = 10 ) integer test_num parameter ( test_num = 3 ) integer j double precision kappa double precision mu(3) double precision pdf integer seed integer test double precision x(3,n) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0705' write ( *, '(a)' ) ' For the Fisher PDF:' write ( *, '(a)' ) ' FISHER_SAMPLE samples the PDF.' write ( *, '(a)' ) ' FISHER_PDF evaluates the PDF.' do test = 1, test_num if ( test .eq. 1 ) then kappa = 0.0D+00 mu = (/ 1.0D+00, 0.0D+00, 0.0D+00 /) else if ( test .eq. 2 ) then kappa = 0.5D+00 mu = (/ 1.0D+00, 0.0D+00, 0.0D+00 /) else if ( test .eq. 3 ) then kappa = 10.0D+00 mu = (/ 1.0D+00, 0.0D+00, 0.0D+00 /) end if write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameters:' write ( *, '(a,g14.6)' ) ' Concentration parameter KAPPA = & ', kappa write ( *, '(a,3f8.4)' ) ' Direction MU(1:3) = ', mu(1:3) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF' write ( *, '(a)' ) ' ' seed = 123456789 call fisher_sample ( kappa, mu, n, seed, x ) do j = 1, n call fisher_pdf ( x(1:3,j), kappa, mu, pdf ) write ( *, '(2x,3f8.4,2x,g14.6)' ) x(1:3,j), pdf end do end do return end subroutine test071 ( ) c*********************************************************************72 c cc TEST071 tests FISK_CDF, FISK_CDF_INV and FISK_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf logical fisk_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST071' write ( *, '(a)' ) ' For the Fisk PDF:' write ( *, '(a)' ) ' FISK_CDF evaluates the CDF;' write ( *, '(a)' ) ' FISK_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' FISK_PDF evaluates the PDF;' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. fisk_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call fisk_sample ( a, b, c, seed, x ) call fisk_pdf ( x, a, b, c, pdf ) call fisk_cdf ( x, a, b, c, cdf ) call fisk_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test072 ( ) c*********************************************************************72 c cc TEST072 tests FISK_MEAN, FISK_SAMPLE and FISK_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c logical fisk_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST072' write ( *, '(a)' ) ' For the Fisk PDF:' write ( *, '(a)' ) ' FISK_MEAN computes the mean;' write ( *, '(a)' ) ' FISK_SAMPLE samples;' write ( *, '(a)' ) ' FISK_VARIANCE computes the variance.' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. fisk_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call fisk_mean ( a, b, c, mean ) call fisk_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call fisk_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test073 ( ) c*********************************************************************72 c cc TEST073 tests FOLDED_NORMAL_CDF, FOLDED_NORMAL_CDF_INV, FOLDED_NORMAL_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf logical folded_normal_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST073' write ( *, '(a)' ) ' For the Folded Normal PDF:' write ( *, '(a)' ) ' FOLDED_NORMAL_CDF evaluates the CDF.' write ( *, '(a)' ) ' FOLDED_NORMAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' FOLDED_NORMAL_PDF evaluates the PDF.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. folded_normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call folded_normal_sample ( a, b, seed, x ) call folded_normal_pdf ( x, a, b, pdf ) call folded_normal_cdf ( x, a, b, cdf ) call folded_normal_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test074 ( ) c*********************************************************************72 c cc TEST074 tests FOLDED_NORMAL_MEAN, FOLDED_NORMAL_SAMPLE, FOLDED_NORMAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical folded_normal_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST074' write ( *, '(a)' ) ' For the Folded Normal PDF:' write ( *, '(a)' ) ' FOLDED_NORMAL_MEAN computes the mean;' write ( *, '(a)' ) ' FOLDED_NORMAL_SAMPLE samples;' write ( *, '(a)' ) ' FOLDED_NORMAL_VARIANCE computes the variance &.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. folded_normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call folded_normal_mean ( a, b, mean ) call folded_normal_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call folded_normal_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test0744 ( ) c*********************************************************************72 c cc TEST0744 tests FRECHET_CDF, FRECHET_CDF_INV and FRECHET_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision alpha double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0744' write ( *, '(a)' ) ' For the Frechet PDF:' write ( *, '(a)' ) ' FRECHET_CDF evaluates the CDF;' write ( *, '(a)' ) ' FRECHET_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' FRECHET_PDF evaluates the PDF;' alpha = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter ALPHA = ', alpha write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call frechet_sample ( alpha, seed, x ) call frechet_pdf ( x, alpha, pdf ) call frechet_cdf ( x, alpha, cdf ) call frechet_cdf_inv ( cdf, alpha, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test0745 ( ) c*********************************************************************72 c cc TEST0745 tests FRECHET_MEAN, FRECHET_SAMPLE and FRECHET_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision alpha integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0745' write ( *, '(a)' ) ' For the Frechet PDF:' write ( *, '(a)' ) ' FRECHET_MEAN computes the mean;' write ( *, '(a)' ) ' FRECHET_SAMPLE samples;' write ( *, '(a)' ) ' FRECHET_VARIANCE computes the variance.' alpha = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter ALPHA = ', alpha call frechet_mean ( alpha, mean ) call frechet_variance ( alpha, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call frechet_sample ( alpha, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test075 ( ) c*********************************************************************72 c cc TEST075 tests GAMMA, GAMMA_LOG, GAMMA_LOG_INT, I_FACTORIAL. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision i4_factorial double precision g1 double precision g2 double precision g3 double precision g4 double precision gamma double precision gamma_log double precision gamma_log_int integer i double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST075' write ( *, '(a)' ) ' GAMMA evaluates the Gamma function;' write ( *, '(a)' ) ' GAMMA_LOG evaluates the log of the Gamma fun &ction;' write ( *, '(a)' ) ' GAMMA_LOG_INT evaluates the log for integer &argument;' write ( *, '(a)' ) ' I_FACTORIAL evaluates the factorial function &.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X, GAMMA(X), Exp(GAMMA_LOG(X)), Exp(GAMM &A_LOG_INT(X)) ' // 'I_FACTORIAL(X+1)' write ( *, '(a)' ) ' ' do i = 1, 10 x = dble ( i ) g1 = gamma ( x ) g2 = exp ( gamma_log ( x ) ) g3 = exp ( gamma_log_int ( i ) ) g4 = i4_factorial ( i - 1 ) write ( *, '(2x,5g14.6)' ) x, g1, g2, g3, g4 end do return end subroutine test076 ( ) c*********************************************************************72 c cc TEST076 tests GAMMA_INC and GAMMA_INC_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision fx double precision fx2 double precision gamma_inc integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST076:' write ( *, '(a)' ) ' GAMMA_INC evaluates the normalized incomplet &e Gamma' write ( *, '(a)' ) ' function P(A,X).' write ( *, '(a)' ) ' GAMMA_INC_VALUES returns some exact values.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A X Exact F GAMMA_INC(A,X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call gamma_inc_values ( n_data, a, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if fx2 = gamma_inc ( a, x ) write ( *, '(2x,2f8.4,2g14.6)' ) a, x, fx, fx2 go to 10 20 continue return end subroutine test077 ( ) c*********************************************************************72 c cc TEST077 tests GAMMA_CDF, GAMMA_PDF, GAMMA_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf logical gamma_check integer i double precision pdf integer seed double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST077' write ( *, '(a)' ) ' For the Gamma PDF:' write ( *, '(a)' ) ' GAMMA_CDF evaluates the CDF.' write ( *, '(a)' ) ' GAMMA_PDF evaluates the PDF.' write ( *, '(a)' ) ' GAMMA_SAMPLE samples the PDF.' a = 1.0D+00 b = 1.5D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. gamma_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF' write ( *, '(a)' ) ' ' do i = 1, 10 call gamma_sample ( a, b, c, seed, x ) call gamma_cdf ( x, a, b, c, cdf ) call gamma_pdf ( x, a, b, c, pdf ) write ( *, '(2x,3g14.6)' ) x, pdf, cdf end do return end subroutine test078 ( ) c*********************************************************************72 c cc TEST078 tests GAMMA_MEAN, GAMMA_SAMPLE and GAMMA_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c logical gamma_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST078' write ( *, '(a)' ) ' For the Gamma PDF:' write ( *, '(a)' ) ' GAMMA_MEAN computes the mean;' write ( *, '(a)' ) ' GAMMA_SAMPLE samples;' write ( *, '(a)' ) ' GAMMA_VARIANCE computes the variance.' a = 1.0D+00 b = 3.0D+00 c = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. gamma_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call gamma_mean ( a, b, c, mean ) call gamma_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call gamma_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test079 ( ) c*********************************************************************72 c cc TEST079 tests GENLOGISTIC_CDF, GENLOGISTIC_CDF_INV, GENLOGISTIC_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf logical genlogistic_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST079' write ( *, '(a)' ) ' For the Generalized Logistic PDF:' write ( *, '(a)' ) ' GENLOGISTIC_PDF evaluates the PDF.' write ( *, '(a)' ) ' GENLOGISTIC_CDF evaluates the CDF;' write ( *, '(a)' ) ' GENLOGISTIC_CDF_INV inverts the CDF.' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. genlogistic_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call genlogistic_sample ( a, b, c, seed, x ) call genlogistic_pdf ( x, a, b, c, pdf ) call genlogistic_cdf ( x, a, b, c, cdf ) call genlogistic_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test080 ( ) c*********************************************************************72 c cc TEST080 tests GENLOGISTIC_MEAN, GENLOGISTIC_SAMPLE, GENLOGISTIC_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c logical genlogistic_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST080' write ( *, '(a)' ) ' For the Generalized Logistic PDF:' write ( *, '(a)' ) ' GENLOGISTIC_MEAN computes the mean;' write ( *, '(a)' ) ' GENLOGISTIC_SAMPLE samples;' write ( *, '(a)' ) ' GENLOGISTIC_VARIANCE computes the variance.' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. genlogistic_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call genlogistic_mean ( a, b, c, mean ) call genlogistic_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call genlogistic_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test081 ( ) c*********************************************************************72 c cc TEST081 tests GEOMETRIC_CDF, GEOMETRIC_CDF_INV, GEOMETRIC_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf logical geometric_check integer i double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST081' write ( *, '(a)' ) ' For the Geometric PDF:' write ( *, '(a)' ) ' GEOMETRIC_CDF evaluates the CDF;' write ( *, '(a)' ) ' GEOMETRIC_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' GEOMETRIC_PDF evaluates the PDF;' a = 0.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. geometric_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call geometric_sample ( a, seed, x ) call geometric_pdf ( x, a, pdf ) call geometric_cdf ( x, a, cdf ) call geometric_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test082 ( ) c*********************************************************************72 c cc TEST082 tests GEOMETRIC_MEAN, GEOMETRIC_SAMPLE, GEOMETRIC_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a logical geometric_check integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST082' write ( *, '(a)' ) ' For the Geometric PDF:' write ( *, '(a)' ) ' GEOMETRIC_MEAN computes the mean;' write ( *, '(a)' ) ' GEOMETRIC_SAMPLE samples;' write ( *, '(a)' ) ' GEOMETRIC_VARIANCE computes the variance.' a = 0.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. geometric_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call geometric_mean ( a, mean ) call geometric_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call geometric_sample ( a, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test083 ( ) c*********************************************************************72 c cc TEST083 tests GEOMETRIC_CDF and GEOMETRIC_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf logical geometric_check double precision pdf integer x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST083' write ( *, '(a)' ) ' For the Geometric PDF:' write ( *, '(a)' ) ' GEOMETRIC_PDF evaluates the PDF.' write ( *, '(a)' ) ' GEOMETRIC_CDF evaluates the CDF.' a = 0.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. geometric_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF(X) CDF(X)' write ( *, '(a)' ) ' ' do x = 0, 10 call geometric_pdf ( x, a, pdf ) call geometric_cdf ( x, a, cdf ) write ( *, '(2x,i8,2g14.6)' ) x, pdf, cdf end do return end subroutine test084 ( ) c*********************************************************************72 c cc TEST084 tests GOMPERTZ_CDF, GOMPERTZ_CDF_INV and GOMPERTZ_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf logical gompertz_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST084' write ( *, '(a)' ) ' For the Gompertz PDF:' write ( *, '(a)' ) ' GOMPERTZ_CDF evaluates the CDF;' write ( *, '(a)' ) ' GOMPERTZ_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' GOMPERTZ_PDF evaluates the PDF;' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. gompertz_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call gompertz_sample ( a, b, seed, x ) call gompertz_pdf ( x, a, b, pdf ) call gompertz_cdf ( x, a, b, cdf ) call gompertz_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test085 ( ) c*********************************************************************72 c cc TEST085 tests GOMPERTZ_SAMPLE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical gompertz_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST085' write ( *, '(a)' ) ' For the Gompertz PDF:' write ( *, '(a)' ) ' GOMPERTZ_SAMPLE samples;' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. gompertz_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if do i = 1, sample_num call gompertz_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test086 ( ) c*********************************************************************72 c cc TEST086 tests GUMBEL_CDF, GUMBEL_CDF_INV, GUMBEL_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST086' write ( *, '(a)' ) ' For the Gumbel PDF:' write ( *, '(a)' ) ' GUMBEL_CDF evaluates the CDF.' write ( *, '(a)' ) ' GUMBEL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' GUMBEL_PDF evaluates the PDF.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call gumbel_sample ( seed, x ) call gumbel_pdf ( x, pdf ) call gumbel_cdf ( x, cdf ) call gumbel_cdf_inv ( cdf, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test087 ( ) c*********************************************************************72 c cc TEST087 tests GUMBEL_MEAN, GUMBEL_SAMPLE, GUMBEL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST087' write ( *, '(a)' ) ' For the Gumbel PDF:' write ( *, '(a)' ) ' GUMBEL_MEAN computes the mean;' write ( *, '(a)' ) ' GUMBEL_SAMPLE samples;' write ( *, '(a)' ) ' GUMBEL_VARIANCE computes the variance.' call gumbel_mean ( mean ) call gumbel_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call gumbel_sample ( seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test088 ( ) c*********************************************************************72 c cc TEST088 tests HALF_NORMAL_CDF, HALF_NORMAL_CDF_INV, HALF_NORMAL_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf logical half_normal_check integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST088' write ( *, '(a)' ) ' For the Half Normal PDF:' write ( *, '(a)' ) ' HALF_NORMAL_CDF evaluates the CDF.' write ( *, '(a)' ) ' HALF_NORMAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' HALF_NORMAL_PDF evaluates the PDF.' a = 0.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. half_normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call half_normal_sample ( a, b, seed, x ) call half_normal_pdf ( x, a, b, pdf ) call half_normal_cdf ( x, a, b, cdf ) call half_normal_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test089 ( ) c*********************************************************************72 c cc TEST089 tests HALF_NORMAL_MEAN, HALF_NORMAL_SAMPLE, HALF_NORMAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b logical half_normal_check integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST089' write ( *, '(a)' ) ' For the Half Normal PDF:' write ( *, '(a)' ) ' HALF_NORMAL_MEAN computes the mean;' write ( *, '(a)' ) ' HALF_NORMAL_SAMPLE samples;' write ( *, '(a)' ) ' HALF_NORMAL_VARIANCE computes the variance.' a = 0.0D+00 b = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. half_normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call half_normal_mean ( a, b, mean ) call half_normal_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call half_normal_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test090 ( ) c*********************************************************************72 c cc TEST090 tests HYPERGEOMETRIC_CDF and HYPERGEOMETRIC_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf logical hypergeometric_check integer l integer m integer n double precision pdf integer x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST090' write ( *, '(a)' ) ' For the Hypergeometric PDF:' write ( *, '(a)' ) ' HYPERGEOMETRIC_CDF evaluates the CDF.' write ( *, '(a)' ) ' HYPERGEOMETRIC_PDF evaluates the PDF.' x = 7 n = 100 m = 70 l = 1000 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Total number of balls = ', l write ( *, '(a,i8)' ) ' Number of white balls = ', m write ( *, '(a,i8)' ) ' Number of balls taken = ', n if ( .not. hypergeometric_check ( n, m, l ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call hypergeometric_pdf ( x, n, m, l, pdf ) call hypergeometric_cdf ( x, n, m, l, cdf ) write ( *, '(a,i8)' ) ' PDF argument X = ', x write ( *, '(a,g14.6)' ) ' PDF value = = ', pdf write ( *, '(a,g14.6)' ) ' CDF value = = ', cdf return end subroutine test091 ( ) c*********************************************************************72 c cc TEST091 tests HYPERGEOMETRIC_MEAN, HYPERGEOMETRIC_SAMPLE, HYPERGEOMETRIC_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) logical hypergeometric_check integer i integer l integer m double precision mean integer n integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST091' write ( *, '(a)' ) ' For the Hypergeometric PDF:' write ( *, '(a)' ) ' HYPERGEOMETRIC_MEAN computes the mean;' write ( *, '(a)' ) ' HYPERGEOMETRIC_SAMPLE samples;' write ( *, '(a)' ) ' HYPERGEOMETRIC_VARIANCE computes the varianc &e.' n = 100 m = 70 l = 1000 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter N = ', n write ( *, '(a,i8)' ) ' PDF parameter M = ', m write ( *, '(a,i8)' ) ' PDF parameter L = ', l if ( .not. hypergeometric_check ( n, m, l ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call hypergeometric_mean ( n, m, l, mean ) call hypergeometric_variance ( n, m, l, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'THIS CALL IS TAKING FOREVER!' return do i = 1, sample_num call hypergeometric_sample ( n, m, l, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test092 ( ) c*********************************************************************72 c cc TEST092 tests R8_CEILING. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer i integer r8_ceiling integer ival double precision rval write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST092' write ( *, '(a)' ) ' R8_CEILING rounds an R8 up.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X R8_CEILING(X)' write ( *, '(a)' ) ' ' do i = -6, 6 rval = dble ( i ) / 5.0D+00 ival = r8_ceiling ( rval ) write ( *, '(2x,g14.6,i8)' ) rval, ival end do return end subroutine test093 ( ) c*********************************************************************72 c cc TEST093 tests INVERSE_GAUSSIAN_CDF and INVERSE_GAUSSIAN_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i logical inverse_gaussian_check double precision pdf integer seed double precision x seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST093' write ( *, '(a)' ) ' For the Inverse Gaussian PDF:' write ( *, '(a)' ) ' INVERSE_GAUSSIAN_CDF evaluates the CDF.' write ( *, '(a)' ) ' INVERSE_GAUSSIAN_PDF evaluates the PDF.' a = 5.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. inverse_gaussian_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF' write ( *, '(a)' ) ' ' do i = 1, 10 call inverse_gaussian_sample ( a, b, seed, x ) call inverse_gaussian_pdf ( x, a, b, pdf ) call inverse_gaussian_cdf ( x, a, b, cdf ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf end do return end subroutine test094 ( ) c*********************************************************************72 c cc TEST094 tests INVERSE_GAUSSIAN_MEAN, INVERSE_GAUSSIAN_SAMPLE, INVERSE_GAUSSIAN_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i logical inverse_gaussian_check double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST094' write ( *, '(a)' ) ' For the Inverse Gaussian PDF:' write ( *, '(a)' ) ' INVERSE_GAUSSIAN_MEAN computes the mean;' write ( *, '(a)' ) ' INVERSE_GAUSSIAN_SAMPLE samples;' write ( *, '(a)' ) ' INVERSE_GAUSSIAN_VARIANCE computes the varia &nce.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. inverse_gaussian_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call inverse_gaussian_mean ( a, b, mean ) call inverse_gaussian_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call inverse_gaussian_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test095 ( ) c*********************************************************************72 c cc TEST095 tests LAPLACE_CDF, LAPLACE_CDF_INV and LAPLACE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i logical laplace_check double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST095' write ( *, '(a)' ) ' For the Laplace PDF:' write ( *, '(a)' ) ' LAPLACE_CDF evaluates the CDF;' write ( *, '(a)' ) ' LAPLACE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' LAPLACE_PDF evaluates the PDF;' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. laplace_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call laplace_sample ( a, b, seed, x ) call laplace_pdf ( x, a, b, pdf ) call laplace_cdf ( x, a, b, cdf ) call laplace_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test096 ( ) c*********************************************************************72 c cc TEST096 tests LAPLACE_MEAN, LAPLACE_SAMPLE, LAPLACE_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i logical laplace_check double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST096' write ( *, '(a)' ) ' For the Laplace PDF:' write ( *, '(a)' ) ' LAPLACE_MEAN computes the mean;' write ( *, '(a)' ) ' LAPLACE_SAMPLE samples;' write ( *, '(a)' ) ' LAPLACE_VARIANCE computes the variance.' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. laplace_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call laplace_mean ( a, b, mean ) call laplace_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call laplace_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test0965 ( ) c*********************************************************************72 c cc TEST0965 tests LEVY_CDF, LEVY_CDF_INV and LEVY_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf double precision pdf integer seed integer test integer test_num parameter ( test_num = 10 ) double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST0965' write ( *, '(a)' ) ' For the Levy PDF:' write ( *, '(a)' ) ' LEVY_CDF evaluates the CDF;' write ( *, '(a)' ) ' LEVY_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' LEVY_PDF evaluates the PDF;' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF &X2' write ( *, '(a)' ) ' ' do test = 1, test_num call levy_sample ( a, b, seed, x ) call levy_pdf ( x, a, b, pdf ) call levy_cdf ( x, a, b, cdf ) call levy_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,g12.6,2x,g12.6,2x,g12.6,2x,g12.6)' ) x, pdf, cdf &, x2 end do return end subroutine test097 ( ) c*********************************************************************72 c cc TEST097 tests LOGISTIC_CDF, LOGISTIC_CDF_INV, LOGISTIC_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i logical logistic_check double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST097' write ( *, '(a)' ) ' For the Logistic PDF:' write ( *, '(a)' ) ' LOGISTIC_CDF evaluates the CDF;' write ( *, '(a)' ) ' LOGISTIC_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' LOGISTIC_PDF evaluates the PDF;' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. logistic_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call logistic_sample ( a, b, seed, x ) call logistic_pdf ( x, a, b, pdf ) call logistic_cdf ( x, a, b, cdf ) call logistic_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test098 ( ) c*********************************************************************72 c cc TEST098 tests LOGISTIC_MEAN, LOGISTIC_SAMPLE, LOGISTIC_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i logical logistic_check double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST098' write ( *, '(a)' ) ' For the Logistic PDF:' write ( *, '(a)' ) ' LOGISTIC_MEAN computes the mean;' write ( *, '(a)' ) ' LOGISTIC_SAMPLE samples;' write ( *, '(a)' ) ' LOGISTIC_VARIANCE computes the variance.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. logistic_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call logistic_mean ( a, b, mean ) call logistic_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call logistic_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test099 ( ) c*********************************************************************72 c cc TEST099 tests LOG_NORMAL_CDF, LOG_NORMAL_CDF_INV, LOG_NORMAL_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i logical log_normal_check double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST099' write ( *, '(a)' ) ' For the Lognormal PDF:' write ( *, '(a)' ) ' LOG_NORMAL_CDF evaluates the CDF;' write ( *, '(a)' ) ' LOG_NORMAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' LOG_NORMAL_PDF evaluates the PDF;' a = 10.0D+00 b = 2.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. log_normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call log_normal_sample ( a, b, seed, x ) call log_normal_pdf ( x, a, b, pdf ) call log_normal_cdf ( x, a, b, cdf ) call log_normal_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test100 ( ) c*********************************************************************72 c cc TEST100 tests LOG_NORMAL_MEAN, LOG_NORMAL_SAMPLE, LOG_NORMAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i logical log_normal_check double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST100' write ( *, '(a)' ) ' For the Lognormal PDF:' write ( *, '(a)' ) ' LOG_NORMAL_MEAN computes the mean;' write ( *, '(a)' ) ' LOG_NORMAL_SAMPLE samples;' write ( *, '(a)' ) ' LOG_NORMAL_VARIANCE computes the variance.' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. log_normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST100 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call log_normal_mean ( a, b, mean ) call log_normal_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call log_normal_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test101 ( ) c*********************************************************************72 c cc TEST101 tests LOG_SERIES_CDF, LOG_SERIES_CDF_INV, LOG_SERIES_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf integer i logical log_series_check double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST101' write ( *, '(a)' ) ' For the Logseries PDF,' write ( *, '(a)' ) ' LOG_SERIES_CDF evaluates the CDF;' write ( *, '(a)' ) ' LOG_SERIES_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' LOG_SERIES_PDF evaluates the PDF;' a = 0.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. log_series_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST101 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call log_series_sample ( a, seed, x ) call log_series_pdf ( x, a, pdf ) call log_series_cdf ( x, a, cdf ) call log_series_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test102 ( ) c*********************************************************************72 c cc TEST102 tests LOG_SERIES_CDF and LOG_SERIES_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf logical log_series_check double precision pdf integer x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST102' write ( *, '(a)' ) ' For the Logseries PDF:' write ( *, '(a)' ) ' LOG_SERIES_CDF evaluates the CDF;' write ( *, '(a)' ) ' LOG_SERIES_PDF evaluates the PDF.' x = 2 a = 0.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. log_series_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST102 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF(X) CDF(X)' write ( *, '(a)' ) ' ' do x = 1, 10 call log_series_pdf ( x, a, pdf ) call log_series_cdf ( x, a, cdf ) write ( *, '(2x,i8,2g14.6)' ) x, pdf, cdf end do return end subroutine test103 ( ) c*********************************************************************72 c cc TEST103 tests LOG_SERIES_MEAN, LOG_SERIES_SAMPLE and LOG_SERIES_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a integer i logical log_series_check double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST103' write ( *, '(a)' ) ' For the Logseries PDF:' write ( *, '(a)' ) ' LOG_SERIES_MEAN computes the mean;' write ( *, '(a)' ) ' LOG_SERIES_VARIANCE computes the variance;' write ( *, '(a)' ) ' LOG_SERIES_SAMPLE samples.' a = 0.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. log_series_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST103 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call log_series_mean ( a, mean ) call log_series_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call log_series_sample ( a, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test104 ( ) c*********************************************************************72 c cc TEST104 tests LOG_UNIFORM_CDF, LOG_UNIFORM_INV, LOG_UNIFORM_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i logical log_uniform_check double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST104' write ( *, '(a)' ) ' For the Log Uniform PDF:' write ( *, '(a)' ) ' LOG_UNIFORM_CDF evaluates the CDF;' write ( *, '(a)' ) ' LOG_UNIFORM_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' LOG_UNIFORM_PDF evaluates the PDF;' a = 2.0D+00 b = 20.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. log_uniform_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST104 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call log_uniform_sample ( a, b, seed, x ) call log_uniform_pdf ( x, a, b, pdf ) call log_uniform_cdf ( x, a, b, cdf ) call log_uniform_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test105 ( ) c*********************************************************************72 c cc TEST105 tests LOG_UNIFORM_MEAN and LOG_UNIFORM_SAMPLE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i logical log_uniform_check double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST105' write ( *, '(a)' ) ' For the Log Uniform PDF:' write ( *, '(a)' ) ' LOG_UNIFORM_MEAN computes the mean;' write ( *, '(a)' ) ' LOG_UNIFORM_SAMPLE samples;' a = 2.0D+00 b = 20.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. log_uniform_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST105 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call log_uniform_mean ( a, b, mean ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean do i = 1, sample_num call log_uniform_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test106 ( ) c*********************************************************************72 c cc TEST106 tests LORENTZ_CDF, LORENTZ_CDF_INV and LORENTZ_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer i double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST106' write ( *, '(a)' ) ' For the Lorentz PDF:' write ( *, '(a)' ) ' LORENTZ_CDF evaluates the CDF;' write ( *, '(a)' ) ' LORENTZ_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' LORENTZ_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call lorentz_sample ( seed, x ) call lorentz_pdf ( x, pdf ) call lorentz_cdf ( x, cdf ) call lorentz_cdf_inv ( cdf, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test107 ( ) c*********************************************************************72 c cc TEST107 tests LORENTZ_MEAN, LORENTZ_SAMPLE and LORENTZ_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST107' write ( *, '(a)' ) ' For the Lorentz PDF:' write ( *, '(a)' ) ' LORENTZ_MEAN computes the mean;' write ( *, '(a)' ) ' LORENTZ_VARIANCE computes the variance;' write ( *, '(a)' ) ' LORENTZ_SAMPLE samples.' call lorentz_mean ( mean ) call lorentz_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call lorentz_sample ( seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test108 ( ) c*********************************************************************72 c cc TEST108 tests MAXWELL_CDF, MAXWELL_CDF_INV and MAXWELL_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf integer i logical maxwell_check double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST108' write ( *, '(a)' ) ' For the Maxwell CDF:' write ( *, '(a)' ) ' MAXWELL_CDF evaluates the CDF.' write ( *, '(a)' ) ' MAXWELL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' MAXWELL_PDF evaluates the PDF.' a = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. maxwell_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST108 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call maxwell_sample ( a, seed, x ) call maxwell_pdf ( x, a, pdf ) call maxwell_cdf ( x, a, cdf ) call maxwell_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test109 ( ) c*********************************************************************72 c cc TEST109 tests MAXWELL_MEAN, MAXWELL_SAMPLE, MAXWELL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a integer i logical maxwell_check double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST109' write ( *, '(a)' ) ' For the Maxwell PDF:' write ( *, '(a)' ) ' MAXWELL_MEAN computes the mean;' write ( *, '(a)' ) ' MAXWELL_VARIANCE computes the variance;' write ( *, '(a)' ) ' MAXWELL_SAMPLE samples.' a = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. maxwell_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST109 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call maxwell_mean ( a, mean ) call maxwell_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF mean = ', varia &nce do i = 1, sample_num call maxwell_sample ( a, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test110 ( ) c*********************************************************************72 c cc TEST110 tests MULTINOMIAL_COEF1, MULTINOMIAL_COEF2. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer maxfactor parameter ( maxfactor = 5 ) integer factor(maxfactor) integer i integer j integer n integer ncomb1 integer ncomb2 integer nfactor write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST110' write ( *, '(a)' ) ' MULTINOMIAL_COEF1 computes multinomial' write ( *, '(a)' ) ' coefficients using the Gamma function;' write ( *, '(a)' ) ' MULTINOMIAL_COEF2 computes multinomial' write ( *, '(a)' ) ' coefficients directly.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Line 10 of the BINOMIAL table:' write ( *, '(a)' ) ' ' n = 10 nfactor = 2 do i = 0, n factor(1) = i factor(2) = n - i call multinomial_coef1 ( nfactor, factor, ncomb1 ) call multinomial_coef2 ( nfactor, factor, ncomb2 ) write ( *, '(i4,i4,3x,i5,i5)' ) factor(1), factor(2), ncomb1, nc &omb2 end do write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Level 5 of the TRINOMIAL coefficients:' n = 5 nfactor = 3 do i = 0, n factor(1) = i write ( *, '(a)' ) ' ' do j = 0, n - factor(1) factor(2) = j factor(3) = n - factor(1) - factor(2) call multinomial_coef1 ( nfactor, factor, ncomb1 ) call multinomial_coef2 ( nfactor, factor, ncomb2 ) write ( *, '(i4,i4,i4,3x,i5,i5)' ) factor(1), factor(2), facto &r(3), ncomb1, ncomb2 end do end do return end subroutine test111 ( ) c*********************************************************************72 c cc TEST111 tests MULTINOMIAL_MEAN, MULTINOMIAL_SAMPLE, MULTINOMIAL_VARIANCE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer b parameter ( b = 3 ) integer sample_num parameter ( sample_num = 1000 ) integer a double precision c(b) integer i double precision mean(b) logical multinomial_check integer seed double precision variance(b) integer x(b,sample_num) integer xmax(b) integer xmin(b) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST111' write ( *, '(a)' ) ' For the Multinomial PDF:' write ( *, '(a)' ) ' MULTINOMIAL_MEAN computes the mean;' write ( *, '(a)' ) ' MULTINOMIAL_SAMPLE samples;' write ( *, '(a)' ) ' MULTINOMIAL_VARIANCE computes the variance;' a = 5 c(1:3) = (/ 0.125D+00, 0.500D+00, 0.375D+00 /) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,i8)' ) ' PDF parameter B = ', b call r8vec_print ( b, c, ' PDF parameter C = ' ) if ( .not. multinomial_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST111 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call multinomial_mean ( a, b, c, mean ) call multinomial_variance ( a, b, c, variance ) call r8vec_print ( b, mean, ' PDF means: ' ) call r8vec_print ( b, variance, ' PDF variances:' ) do i = 1, sample_num call multinomial_sample ( a, b, c, seed, x(1,i) ) end do call i4row_max ( b, sample_num, x, xmax ) call i4row_min ( b, sample_num, x, xmin ) call i4row_mean ( b, sample_num, x, mean ) call i4row_variance ( b, sample_num, x, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a)' ) ' Component Mean, Variance, Min, Max:' do i = 1, b write ( *, '(2x,i8,2g14.6,2i8)' ) i, mean(i), variance(i), & xmin(i), xmax(i) end do return end subroutine test112 ( ) c*********************************************************************72 c cc TEST112 tests MULTINOMIAL_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer b parameter ( b = 3 ) integer a double precision c(b) integer i logical multinomial_check double precision pdf integer x(b) write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST112' write ( *, '(a)' ) ' For the Multinomial PDF:' write ( *, '(a)' ) ' MULTINOMIAL_PDF evaluates the PDF.' a = 5 c(1) = 0.10D+00 c(2) = 0.50D+00 c(3) = 0.40D+00 write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,i8)' ) ' PDF parameter B = ', b call r8vec_print ( b, c, ' PDF parameter C:' ) if ( .not. multinomial_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST112 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if x(1:3) = (/ 0, 2, 3 /) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' PDF argument X:' write ( *, '(a)' ) ' ' do i = 1, b write ( *, '(2x,i8)' ) x(i) end do call multinomial_pdf ( x, a, b, c, pdf ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF value = ', pdf return end subroutine test113 ( ) c*********************************************************************72 c cc TEST113 tests NAKAGAMI_CDF, NAKAGAMI_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf logical nakagami_check double precision pdf double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST113' write ( *, '(a)' ) ' For the Nakagami PDF:' write ( *, '(a)' ) ' NAKAGAMI_CDF evaluates the CDF;' write ( *, '(a)' ) ' NAKAGAMI_PDF evaluates the PDF;' x = 1.25D+00 a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. nakagami_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST113 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call nakagami_pdf ( x, a, b, c, pdf ) call nakagami_cdf ( x, a, b, c, cdf ) write ( *, '(a,g14.6)' ) ' PDF argument X = ', x write ( *, '(a,g14.6)' ) ' PDF value = ', pdf write ( *, '(a,g14.6)' ) ' CDF value = ', cdf return end subroutine test114 ( ) c*********************************************************************72 c cc TEST114 tests NAKAGAMI_MEAN, NAKAGAMI_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision mean logical nakagami_check double precision variance write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST114' write ( *, '(a)' ) ' For the Nakagami PDF:' write ( *, '(a)' ) ' NAKAGAMI_MEAN computes the mean;' write ( *, '(a)' ) ' NAKAGAMI_VARIANCE computes the variance.' a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. nakagami_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST114 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call nakagami_mean ( a, b, c, mean ) call nakagami_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce return end subroutine test1145 ( ) c*********************************************************************72 c cc TEST1145 tests NEGATIVE_BINOMIAL_CDF, NEGATIVE_BINOMIAL_CDF_INV, NEGATIVE_BINOMIAL_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a double precision b double precision cdf integer i logical negative_binomial_check double precision pdf integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1145' write ( *, '(a)' ) ' For the Negative Binomial PDF:' write ( *, '(a)' ) ' NEGATIVE_BINOMIAL_CDF evaluates the CDF.' write ( *, '(a)' ) ' NEGATIVE_BINOMIAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' NEGATIVE_BINOMIAL_PDF evaluates the PDF.' a = 2 b = 0.25D+00 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. negative_binomial_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1145 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call negative_binomial_sample ( a, b, seed, x ) call negative_binomial_pdf ( x, a, b, pdf ) call negative_binomial_cdf ( x, a, b, cdf ) call negative_binomial_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test1146 ( ) c*********************************************************************72 c cc TEST1146 tests NEGATIVE_BINOMIAL_MEAN, NEGATIVE_BINOMIAL_SAMPLE, NEGATIVE_BINOMIAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer a double precision b integer i double precision mean logical negative_binomial_check integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1146' write ( *, '(a)' ) ' For the Negative Binomial PDF:' write ( *, '(a)' ) ' NEGATIVE_BINOMIAL_MEAN computes the mean;' write ( *, '(a)' ) ' NEGATIVE_BINOMIAL_SAMPLE samples;' write ( *, '(a)' ) ' NEGATIVE_BINOMIAL_VARIANCE computes the vari &ance.' a = 2 b = 0.75D+00 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. negative_binomial_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1146 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call negative_binomial_mean ( a, b, mean ) call negative_binomial_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call negative_binomial_sample ( a, b, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test115 ( ) c*********************************************************************72 c cc TEST115 tests NORMAL_01_CDF, NORMAL_01_CDF_INV, NORMAL_01_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf double precision pdf integer i integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST115' write ( *, '(a)' ) ' For the Normal 01 PDF:' write ( *, '(a)' ) ' NORMAL_01_CDF evaluates the CDF;' write ( *, '(a)' ) ' NORMAL_01_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' NORMAL_01_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call normal_01_sample ( seed, x ) call normal_01_pdf ( x, pdf ) call normal_01_cdf ( x, cdf ) call normal_01_cdf_inv ( cdf, x2 ) write ( *, '(2x,g24.16,2x,g14.6,2x,g14.6,2x,g24.16)' ) & x, pdf, cdf, x2 end do return end subroutine test116 ( ) c*********************************************************************72 c cc TEST116 tests NORMAL_01_MEAN, NORMAL_01_SAMPLE, NORMAL_01_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST116' write ( *, '(a)' ) ' For the Normal 01 PDF:' write ( *, '(a)' ) ' NORMAL_01_MEAN computes the mean;' write ( *, '(a)' ) ' NORMAL_01_SAMPLE samples the PDF;' write ( *, '(a)' ) ' NORMAL_01_VARIANCE returns the variance.' call normal_01_mean ( mean ) call normal_01_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', & variance do i = 1, sample_num call normal_01_sample ( seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test117 ( ) c*********************************************************************72 c cc TEST117 tests NORMAL_CDF, NORMAL_CDF_INV, NORMAL_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i logical normal_check double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST117' write ( *, '(a)' ) ' For the Normal PDF:' write ( *, '(a)' ) ' NORMAL_CDF evaluates the CDF;' write ( *, '(a)' ) ' NORMAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' NORMAL_PDF evaluates the PDF;' a = 100.0D+00 b = 15.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST117 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call normal_sample ( a, b, seed, x ) call normal_pdf ( x, a, b, pdf ) call normal_cdf ( x, a, b, cdf ) call normal_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test118 ( ) c*********************************************************************72 c cc TEST118 tests NORMAL_MEAN, NORMAL_SAMPLE, NORMAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i logical normal_check double precision mean integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST118' write ( *, '(a)' ) ' For the Normal PDF:' write ( *, '(a)' ) ' NORMAL_MEAN computes the mean;' write ( *, '(a)' ) ' NORMAL_SAMPLE samples;' write ( *, '(a)' ) ' NORMAL_VARIANCE returns the variance.' a = 100.0D+00 b = 15.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. normal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST118 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call normal_mean ( a, b, mean ) call normal_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call normal_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test1184 ( ) c*********************************************************************72 c cc TEST1184 tests NORMAL_TRUNCATED_AB_CDF, NORMAL_TRUNCATED_AB_CDF_INV, NORMAL_TRUNCATED_AB_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 20 August 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision mu double precision pdf double precision s integer seed double precision x double precision x2 seed = 123456789 a = 50.0D+00 b = 150.0D+00 mu = 100.0D+00 s = 25.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1184' write ( *, '(a)' ) ' For the Truncated Normal PDF:' write ( *, '(a)' ) ' NORMAL_TRUNCATED_AB_CDF evaluates the CDF.' write ( *, '(a)' ) & ' NORMAL_TRUNCATED_AB_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' NORMAL_TRUNCATED_AB_PDF evaluates the PDF.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The "parent" normal distribution has' write ( *, '(a,g14.6)' ) ' mean = ', mu write ( *, '(a,g14.6)' ) ' standard deviation = ', s write ( *, '(a)' ) ' The parent distribution is truncated to' write ( *, '(a,g14.6,a,g14.6,a)' ) & ' the interval [', a, ',', b, ']' write ( *, '(a)' ) ' ' write ( *, '(a)' ) & ' X PDF CDF CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call normal_truncated_ab_sample ( mu, s, a, b, seed, x ) call normal_truncated_ab_pdf ( x, mu, s, a, b, pdf ) call normal_truncated_ab_cdf ( x, mu, s, a, b, cdf ) call normal_truncated_ab_cdf_inv ( cdf, mu, s, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test1185 ( ) c*********************************************************************72 c cc TEST1185 tests NORMAL_TRUNCATED_AB_MEAN, NORMAL_TRUNCATED_AB_SAMPLE, NORMAL_TRUNCATED_AB_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 20 August 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean double precision mu double precision s integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 a = 50.0D+00 b = 150.0D+00 mu = 100.0D+00 s = 25.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1185' write ( *, '(a)' ) ' For the Truncated Normal PDF:' write ( *, '(a)' ) ' NORMAL_TRUNCATED_AB_MEAN computes the mean;' write ( *, '(a)' ) ' NORMAL_TRUNCATED_AB_SAMPLE samples;' write ( *, '(a)' ) & ' NORMAL_TRUNCATED_AB_VARIANCE computes the variance.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The "parent" normal distribution has' write ( *, '(a,g14.6)' ) ' mean = ', mu write ( *, '(a,g14.6)' ) ' standard deviation = ', s write ( *, '(a)' ) ' The parent distribution is truncated to' write ( *, '(a,g14.6,a,g14.6,a)' ) & ' the interval [', a, ',', b, ']' call normal_truncated_ab_mean ( mu, s, a, b, mean ) call normal_truncated_ab_variance ( mu, s, a, b, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) & ' PDF variance = ', variance do i = 1, sample_num call normal_truncated_ab_sample ( mu, s, a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test1186 ( ) c*********************************************************************72 c cc TEST1186 tests NORMAL_TRUNCATED_A_CDF, NORMAL_TRUNCATED_A_CDF_INV, NORMAL_TRUNCATED_A_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 21 August 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf integer i double precision mu double precision pdf double precision s integer seed double precision x double precision x2 seed = 123456789 a = 50.0D+00 mu = 100.0D+00 s = 25.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1186' write ( *, '(a)' ) ' For the Lower Truncated Normal PDF:' write ( *, '(a)' ) ' NORMAL_TRUNCATED_A_CDF evaluates the CDF.' write ( *, '(a)' ) ' NORMAL_TRUNCATED_A_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' NORMAL_TRUNCATED_A_PDF evaluates the PDF.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The "parent" normal distribution has' write ( *, '(a,g14.6)' ) ' mean = ', mu write ( *, '(a,g14.6)' ) ' standard deviation = ', s write ( *, '(a)' ) ' The parent distribution is truncated to' write ( *, '(a,g14.6,a)' ) & ' the interval [', a, ',+oo]' write ( *, '(a)' ) ' ' write ( *, '(a)' ) & ' X PDF CDF CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call normal_truncated_a_sample ( mu, s, a, seed, x ) call normal_truncated_a_pdf ( x, mu, s, a, pdf ) call normal_truncated_a_cdf ( x, mu, s, a, cdf ) call normal_truncated_a_cdf_inv ( cdf, mu, s, a, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test1187 ( ) c*********************************************************************72 c cc TEST1187 tests NORMAL_TRUNCATED_A_MEAN, NORMAL_TRUNCATED_A_SAMPLE, NORMAL_TRUNCATED_A_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 21 August 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a integer i double precision mean double precision mu double precision s integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 a = 50.0D+00 mu = 100.0D+00 s = 25.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1187' write ( *, '(a)' ) ' For the Lower Truncated Normal PDF:' write ( *, '(a)' ) ' NORMAL_TRUNCATED_A_MEAN computes the mean;' write ( *, '(a)' ) ' NORMAL_TRUNCATED_A_SAMPLE samples;' write ( *, '(a)' ) & ' NORMAL_TRUNCATED_A_VARIANCE computes the variance.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The "parent" normal distribution has' write ( *, '(a,g14.6)' ) ' mean = ', mu write ( *, '(a,g14.6)' ) ' standard deviation = ', s write ( *, '(a)' ) ' The parent distribution is truncated to' write ( *, '(a,g14.6,a)' ) & ' the interval [', a, ',+oo]' call normal_truncated_a_mean ( mu, s, a, mean ) call normal_truncated_a_variance ( mu, s, a, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) & ' PDF variance = ', variance do i = 1, sample_num call normal_truncated_a_sample ( mu, s, a, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test1188 ( ) c*********************************************************************72 c cc TEST1188 tests NORMAL_TRUNCATED_B_CDF, NORMAL_TRUNCATED_B_CDF_INV, NORMAL_TRUNCATED_B_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 21 August 2013 c c Author: c c John Burkardt c implicit none double precision b double precision cdf integer i double precision mu double precision pdf double precision s integer seed double precision x double precision x2 seed = 123456789 b = 150.0D+00 mu = 100.0D+00 s = 25.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1188' write ( *, '(a)' ) ' For the Upper Truncated Normal PDF:' write ( *, '(a)' ) ' NORMAL_TRUNCATED_B_CDF evaluates the CDF.' write ( *, '(a)' ) ' NORMAL_TRUNCATED_B_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' NORMAL_TRUNCATED_B_PDF evaluates the PDF.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The "parent" normal distribution has' write ( *, '(a,g14.6)' ) ' mean = ', mu write ( *, '(a,g14.6)' ) ' standard deviation = ', s write ( *, '(a)' ) ' The parent distribution is truncated to' write ( *, '(a,g14.6,a)' ) & ' the interval [-oo,', b, ']' write ( *, '(a)' ) ' ' write ( *, '(a)' ) & ' X PDF CDF CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call normal_truncated_b_sample ( mu, s, b, seed, x ) call normal_truncated_b_pdf ( x, mu, s, b, pdf ) call normal_truncated_b_cdf ( x, mu, s, b, cdf ) call normal_truncated_b_cdf_inv ( cdf, mu, s, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test1189 ( ) c*********************************************************************72 c cc TEST1189 tests NORMAL_TRUNCATED_B_MEAN, NORMAL_TRUNCATED_B_SAMPLE, NORMAL_TRUNCATED_B_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 21 August 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision b integer i double precision mean double precision mu double precision s integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 b = 150.0D+00 mu = 100.0D+00 s = 25.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1189' write ( *, '(a)' ) ' For the Upper Truncated Normal PDF:' write ( *, '(a)' ) ' NORMAL_TRUNCATED_B_MEAN computes the mean;' write ( *, '(a)' ) ' NORMAL_TRUNCATED_B_SAMPLE samples;' write ( *, '(a)' ) & ' NORMAL_TRUNCATED_B_VARIANCE computes the variance.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' The "parent" normal distribution has' write ( *, '(a,g14.6)' ) ' mean = ', mu write ( *, '(a,g14.6)' ) ' standard deviation = ', s write ( *, '(a)' ) ' The parent distribution is truncated to' write ( *, '(a,g14.6,a)' ) & ' the interval [-oo,', b, ']' call normal_truncated_b_mean ( mu, s, b, mean ) call normal_truncated_b_variance ( mu, s, b, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) & ' PDF variance = ', variance do i = 1, sample_num call normal_truncated_b_sample ( mu, s, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test119 ( ) c*********************************************************************72 c cc TEST119 tests PARETO_CDF, PARETO_CDF_INV, PARETO_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i logical pareto_check double precision pdf integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST119' write ( *, '(a)' ) ' For the Pareto PDF:' write ( *, '(a)' ) ' PARETO_CDF evaluates the CDF;' write ( *, '(a)' ) ' PARETO_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' PARETO_PDF evaluates the PDF;' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. pareto_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST119 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call pareto_sample ( a, b, seed, x ) call pareto_pdf ( x, a, b, pdf ) call pareto_cdf ( x, a, b, cdf ) call pareto_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test120 ( ) c*********************************************************************72 c cc TEST120 tests PARETO_MEAN, PARETO_SAMPLE, PARETO_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean logical pareto_check integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST120' write ( *, '(a)' ) ' For the Pareto PDF:' write ( *, '(a)' ) ' PARETO_MEAN computes the mean;' write ( *, '(a)' ) ' PARETO_SAMPLE samples;' write ( *, '(a)' ) ' PARETO_VARIANCE computes the variance.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. pareto_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST120 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call pareto_mean ( a, b, mean ) call pareto_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', & variance do i = 1, sample_num call pareto_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test123 ( ) c*********************************************************************72 c cc TEST123 tests PEARSON_05_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision pdf logical pearson_05_check double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST123' write ( *, '(a)' ) ' For the Pearson 05 PDF:' write ( *, '(a)' ) ' PEARSON_05_PDF evaluates the PDF.' x = 5.0D+00 a = 1.0D+00 b = 2.0D+00 c = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. pearson_05_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST123 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call pearson_05_pdf ( x, a, b, c, pdf ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF argument X = ', x write ( *, '(a,g14.6)' ) ' PDF value = ', pdf return end subroutine test124 ( ) c*********************************************************************72 c cc TEST124 tests PLANCK_PDF, PLANCK_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b integer i double precision pdf logical planck_check integer seed double precision x seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST124' write ( *, '(a)' ) ' For the Planck PDF:' write ( *, '(a)' ) ' PLANCK_PDF evaluates the PDF.' write ( *, '(a)' ) ' PLANCK_SAMPLE samples the PDF.' a = 2.0D+00; b = 3.0D+00; write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. planck_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST124 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF' write ( *, '(a)' ) ' ' do i = 1, 10 call planck_sample ( a, b, seed, x ) call planck_pdf ( x, a, b, pdf ) write ( *, '(2x,2g14.6)' ) x, pdf end do return end subroutine test125 ( ) c*********************************************************************72 c cc TEST125 tests PLANCK_MEAN, PLANCK_SAMPLE, PLANCK_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean logical planck_check integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST125' write ( *, '(a)' ) ' For the Planck PDF:' write ( *, '(a)' ) ' PLANCK_MEAN computes the mean.' write ( *, '(a)' ) ' PLANCK_SAMPLE samples.' write ( *, '(a)' ) ' PLANCK_VARIANCE computes the variance.' write ( *, '(a)' ) ' ' a = 2.0D+00; b = 3.0D+00; write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. planck_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST125 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call planck_mean ( a, b, mean ) call planck_variance ( a, b, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call planck_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test126 ( ) c*********************************************************************72 c cc TEST126 tests POISSON_CDF, POISSON_CDF_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision fx double precision fx2 integer n_data integer x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST126:' write ( *, '(a)' ) ' POISSON_CDF evaluates the cumulative distrib &ution' write ( *, '(a)' ) ' function for the discrete Poisson probabil &ity' write ( *, '(a)' ) ' density function.' write ( *, '(a)' ) ' POISSON_CDF_VALUES returns some exact values &.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A is the expected mean number of successes p &er unit time;' write ( *, '(a)' ) ' X is the number of successes;' write ( *, '(a)' ) ' POISSON_CDF is the probability of having up &to X' write ( *, '(a)' ) ' successes in unit time.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A X Exact F POISSON_CDF(A,X) &' write ( *, '(a)' ) ' ' n_data = 0 10 continue call poisson_cdf_values ( n_data, a, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if call poisson_cdf ( x, a, fx2 ) write ( *, '(2x,f8.4,i8,2g14.6)' ) a, x, fx, fx2 go to 10 20 continue return end subroutine test127 ( ) c*********************************************************************72 c cc TEST127 tests POISSON_CDF, POISSON_CDF_INV, POISSON_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf integer i double precision pdf logical poisson_check integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST127' write ( *, '(a)' ) ' For the Poisson PDF:' write ( *, '(a)' ) ' POISSON_CDF evaluates the CDF,' write ( *, '(a)' ) ' POISSON_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' POISSON_PDF evaluates the PDF.' a = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. poisson_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST127 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call poisson_sample ( a, seed, x ) call poisson_pdf ( x, a, pdf ) call poisson_cdf ( x, a, cdf ) call poisson_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test128 ( ) c*********************************************************************72 c cc TEST128 tests POISSON_MEAN, POISSON_SAMPLE, POISSON_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a integer i double precision mean logical poisson_check integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST128' write ( *, '(a)' ) ' For the Poisson PDF:' write ( *, '(a)' ) ' POISSON_MEAN computes the mean;' write ( *, '(a)' ) ' POISSON_SAMPLE samples;' write ( *, '(a)' ) ' POISSON_VARIANCE computes the variance.' a = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. poisson_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST128 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call poisson_mean ( a, mean ) call poisson_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call poisson_sample ( a, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test129 ( ) c*********************************************************************72 c cc TEST129 tests POWER_CDF, POWER_CDF_INV, POWER_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf logical power_check integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST129' write ( *, '(a)' ) ' For the Power PDF:' write ( *, '(a)' ) ' POWER_CDF evaluates the CDF;' write ( *, '(a)' ) ' POWER_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' POWER_PDF evaluates the PDF;' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. power_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST129 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call power_sample ( a, b, seed, x ) call power_pdf ( x, a, b, pdf ) call power_cdf ( x, a, b, cdf ) call power_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test130 ( ) c*********************************************************************72 c cc TEST130 tests POWER_MEAN, POWER_SAMPLE, POWER_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean logical power_check integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST130' write ( *, '(a)' ) ' For the Power PDF:' write ( *, '(a)' ) ' POWER_MEAN computes the mean;' write ( *, '(a)' ) ' POWER_SAMPLE samples;' write ( *, '(a)' ) ' POWER_VARIANCE computes the variance.' a = 2.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. power_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST130 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call power_mean ( a, b, mean ) call power_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call power_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test1304 ( ) c*********************************************************************72 c cc TEST1304 tests QUASIGEOMETRIC_CDF, *_CDF_INV, *_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 28 January 2009 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf logical quasigeometric_check integer seed integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1304' write ( *, '(a)' ) ' For the Quasigeometric PDF:' write ( *, '(a)' ) ' QUASIGEOMETRIC_CDF evaluates the CDF;' write ( *, '(a)' ) ' QUASIGEOMETRIC_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' QUASIGEOMETRIC_PDF evaluates the PDF;' a = 0.4825D+00 b = 0.5893D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. quasigeometric_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call quasigeometric_sample ( a, b, seed, x ) call quasigeometric_pdf ( x, a, b, pdf ) call quasigeometric_cdf ( x, a, b, cdf ) call quasigeometric_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test1306 ( ) c*********************************************************************72 c cc TEST1306 tests QUASIGEOMETRIC_MEAN, *_SAMPLE, *_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 28 January 2009 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean logical quasigeometric_check integer seed double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1306' write ( *, '(a)' ) ' For the Quasigeometric PDF:' write ( *, '(a)' ) ' QUASIGEOMETRIC_MEAN computes the mean;' write ( *, '(a)' ) ' QUASIGEOMETRIC_SAMPLE samples;' write ( *, '(a)' ) ' QUASIGEOMETRIC_VARIANCE computes the varianc &e.' a = 0.4825D+00 b = 0.5893D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. quasigeometric_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call quasigeometric_mean ( a, b, mean ) call quasigeometric_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call quasigeometric_sample ( a, b, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test131 ( ) c*********************************************************************72 c cc TEST131 tests RAYLEIGH_CDF, RAYLEIGH_CDF_INV, RAYLEIGH_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf integer i double precision pdf logical rayleigh_check integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST131' write ( *, '(a)' ) ' For the Rayleigh PDF:' write ( *, '(a)' ) ' RAYLEIGH_CDF evaluates the CDF;' write ( *, '(a)' ) ' RAYLEIGH_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' RAYLEIGH_PDF evaluates the PDF;' a = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. rayleigh_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST131 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call rayleigh_sample ( a, seed, x ) call rayleigh_pdf ( x, a, pdf ) call rayleigh_cdf ( x, a, cdf ) call rayleigh_cdf_inv ( cdf, a, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test132 ( ) c*********************************************************************72 c cc TEST132 tests RAYLEIGH_MEAN, RAYLEIGH_SAMPLE, RAYLEIGH_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a integer i double precision mean logical rayleigh_check integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST132' write ( *, '(a)' ) ' For the Rayleigh PDF:' write ( *, '(a)' ) ' RAYLEIGH_MEAN computes the mean;' write ( *, '(a)' ) ' RAYLEIGH_SAMPLE samples;' write ( *, '(a)' ) ' RAYLEIGH_VARIANCE computes the variance.' a = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. rayleigh_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST132 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call rayleigh_mean ( a, mean ) call rayleigh_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call rayleigh_sample ( a, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test133 ( ) c*********************************************************************72 c cc TEST133 tests RECIPROCAL_CDF, RECIPROCAL_CDF_INV, RECIPROCAL_CDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf logical reciprocal_check integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST133' write ( *, '(a)' ) ' For the Reciprocal PDF:' write ( *, '(a)' ) ' RECIPROCAL_CDF evaluates the CDF.' write ( *, '(a)' ) ' RECIPROCAL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' RECIPROCAL_PDF evaluates the PDF.' a = 1.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. reciprocal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST133 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call reciprocal_sample ( a, b, seed, x ) call reciprocal_pdf ( x, a, b, pdf ) call reciprocal_cdf ( x, a, b, cdf ) call reciprocal_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test134 ( ) c*********************************************************************72 c cc TEST134 tests RECIPROCAL_MEAN, RECIPROCAL_SAMPLE, RECIPROCAL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean logical reciprocal_check integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST134' write ( *, '(a)' ) ' For the Reciprocal PDF:' write ( *, '(a)' ) ' RECIPROCAL_MEAN computes the mean;' write ( *, '(a)' ) ' RECIPROCAL_SAMPLE samples;' write ( *, '(a)' ) ' RECIPROCAL_VARIANCE computes the variance.' a = 1.0D+00 b = 3.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. reciprocal_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST134 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call reciprocal_mean ( a, b, mean ) call reciprocal_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call reciprocal_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test1341 ( ) c*********************************************************************72 c cc TEST1341 checks RIBESL against BESSEL_IX_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 02 March 2007 c c Author: c c John Burkardt c implicit none integer nb_max parameter ( nb_max = 10 ) double precision alpha double precision alpha_frac double precision b(nb_max) double precision fx double precision fx2 integer ize integer n_data integer nb integer ncalc double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1341:' write ( *, '(a)' ) ' RIBESL computes values of Bessel functions' write ( *, '(a)' ) ' of NONINTEGER order.' write ( *, '(a)' ) ' BESSEL_IX_VALUES returns selected values of &the' write ( *, '(a)' ) ' Bessel function In for NONINTEGER order.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' ALPHA X FX' // ' & FX2' write ( *, '(a)' ) ' (table)' // & ' (RIBESL)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call bessel_ix_values ( n_data, alpha, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if ize = 1 nb = int ( alpha ) + 1 if ( nb_max .lt. nb ) then write ( *, * ) ' [Skipping calculation, NB_MAX too small.]' go to 10 end if alpha_frac = alpha - dble ( int ( alpha ) ) call ribesl ( x, alpha_frac, nb, ize, b, ncalc ) fx2 = b(nb) write ( *, '(2x,f12.8,2x,f12.8,2x,g24.16,2x,g24.16)' ) alpha, x, & fx, fx2 go to 10 20 continue return end subroutine test1342 ( ) c*********************************************************************72 c cc TEST1342 tests RUNS_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer m integer n double precision pdf double precision pdf_total integer r write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1342' write ( *, '(a)' ) ' For the RUNS PDF:' write ( *, '(a)' ) ' RUNS_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' M is the number of symbols of one kind,' write ( *, '(a)' ) & ' N is the number of symbols of the other kind,' write ( *, '(a)' ) ' R is the number of runs (sequences of one sy &mbol)' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' M N R PDF' write ( *, '(a)' ) ' ' m = 6 do n = 0, 8 write ( *, '(a)' ) ' ' pdf_total = 0.0D+00 do r = 1, 2 * min ( m, n ) + 2 call runs_pdf ( m, n, r, pdf ) write ( *, '(2x,i8,2x,i8,2x,i8,2x,g14.6)' ) m, n, r, pdf pdf_total = pdf_total + pdf end do write ( *, '(2x,i8,2x,8x,2x,8x,2x,g14.6)' ) m, pdf_total end do return end subroutine test1344 ( ) c*********************************************************************72 c cc TEST1344 tests RUNS_MEAN, RUNS_VARIANCE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i integer m double precision mean integer n integer r(sample_num) integer rmax integer rmin integer seed double precision variance write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1344' write ( *, '(a)' ) ' For the RUNS PDF:' write ( *, '(a)' ) ' RUNS_MEAN computes the mean;' write ( *, '(a)' ) ' RUNS_VARIANCE computes the variance' m = 10 n = 5 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter M = ', m write ( *, '(a,g14.6)' ) ' PDF parameter N = ', n call runs_mean ( m, n, mean ) call runs_variance ( m, n, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance seed = 123456789 do i = 1, sample_num call runs_sample ( m, n, seed, r(i) ) end do call i4vec_mean ( sample_num, r, mean ) call i4vec_variance ( sample_num, r, variance ) call i4vec_max ( sample_num, r, rmax ) call i4vec_min ( sample_num, r, rmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', rmax write ( *, '(a,i8)' ) ' Sample minimum = ', rmin return end subroutine test135 ( ) c*********************************************************************72 c cc TEST135 tests SECH_CDF, SECH_CDF_INV, SECH_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf logical sech_check integer seed double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST135' write ( *, '(a)' ) ' For the Hyperbolic Secant PDF:' write ( *, '(a)' ) ' SECH_CDF evaluates the CDF.' write ( *, '(a)' ) ' SECH_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' SECH_PDF evaluates the PDF.' a = 3.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. sech_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST135 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call sech_sample ( a, b, seed, x ) call sech_pdf ( x, a, b, pdf ) call sech_cdf ( x, a, b, cdf ) call sech_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test136 ( ) c*********************************************************************72 c cc TEST136 tests SECH_MEAN, SECH_SAMPLE, SECH_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean logical sech_check integer seed double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST136' write ( *, '(a)' ) ' For the Hyperbolic Secant PDF:' write ( *, '(a)' ) ' SECH_MEAN computes the mean;' write ( *, '(a)' ) ' SECH_SAMPLE samples;' write ( *, '(a)' ) ' SECH_VARIANCE computes the variance.' a = 3.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. sech_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST136 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call sech_mean ( a, b, mean ) call sech_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call sech_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test137 ( ) c*********************************************************************72 c cc TEST137 tests SEMICIRCULAR_CDF, SEMICIRCULAR_CDF_INV, SEMICIRCULAR_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf integer seed logical semicircular_check double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST137' write ( *, '(a)' ) ' For the Semicircular PDF:' write ( *, '(a)' ) ' SEMICIRCULAR_CDF evaluates the CDF.' write ( *, '(a)' ) ' SEMICIRCULAR_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' SEMICIRCULAR_PDF evaluates the PDF.' a = 3.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. semicircular_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST137 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call semicircular_sample ( a, b, seed, x ) call semicircular_pdf ( x, a, b, pdf ) call semicircular_cdf ( x, a, b, cdf ) call semicircular_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test138 ( ) c*********************************************************************72 c cc TEST138 tests SEMICIRCULAR_MEAN, SEMICIRCULAR_SAMPLE, SEMICIRCULAR_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean integer seed logical semicircular_check double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST138' write ( *, '(a)' ) ' For the Semicircular PDF:' write ( *, '(a)' ) ' SEMICIRCULAR_MEAN computes the mean;' write ( *, '(a)' ) ' SEMICIRCULAR_SAMPLE samples;' write ( *, '(a)' ) ' SEMICIRCULAR_VARIANCE computes the variance. &' a = 3.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. semicircular_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST138 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call semicircular_mean ( a, b, mean ) call semicircular_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call semicircular_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test139 ( ) c*********************************************************************72 c cc TEST139 tests STUDENT_CDF, STUDENT_CDF_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST139:' write ( *, '(a)' ) ' STUDENT_CDF evaluates the cumulative' write ( *, '(a)' ) ' distribution function for the Student''s cen &tral T' write ( *, '(a)' ) ' probability density function.' write ( *, '(a)' ) ' STUDENT_CDF_VALUES returns some exact values &.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A B C X Exact F ' / &/ ' STUDENT_CDF(A,B,C,X)' write ( *, '(a)' ) ' ' n_data = 0 10 continue call student_cdf_values ( n_data, c, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if a = 0.0D+00 b = 1.0D+00 call student_cdf ( x, a, b, c, fx2 ) write ( *, '(4f8.4,2g14.6)' ) a, b, c, x, fx, fx2 go to 10 20 continue return end subroutine test140 ( ) c*********************************************************************72 c cc TEST140 tests STUDENT_CDF, STUDENT_PDF and STUDENT_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf integer i double precision pdf integer seed logical student_check double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST140' write ( *, '(a)' ) ' For the central Student PDF:' write ( *, '(a)' ) ' STUDENT_CDF evaluates the CDF.' write ( *, '(a)' ) ' STUDENT_PDF evaluates the PDF.' write ( *, '(a)' ) ' STUDENT_SAMPLE samples the PDF.' a = 0.5D+00 b = 2.0D+00 c = 6.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. student_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST140 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF' write ( *, '(a)' ) ' ' seed = 123456789 do i = 1, 10 call student_sample ( a, b, c, seed, x ) call student_pdf ( x, a, b, c, pdf ) call student_cdf ( x, a, b, c, cdf ) write ( *, '(2x,g14.6,2x,g14.6,2x,g14.6)' ) x, pdf, cdf end do return end subroutine test141 ( ) c*********************************************************************72 c cc TEST141 tests STUDENT_MEAN, STUDENT_SAMPLE, STUDENT_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c integer i double precision mean integer seed logical student_check double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST141' write ( *, '(a)' ) ' For the central Student PDF:' write ( *, '(a)' ) ' STUDENT_MEAN computes the mean;' write ( *, '(a)' ) ' STUDENT_SAMPLE samples;' write ( *, '(a)' ) ' STUDENT_VARIANCE computes the variance.' a = 0.5D+00 b = 2.0D+00 c = 6.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. student_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST141 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call student_mean ( a, b, c, mean ) call student_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call student_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test142 ( ) c*********************************************************************72 c cc TEST142 tests STUDENT_NONCENTRAL_CDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision b double precision cdf integer idf double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST142' write ( *, '(a)' ) ' For the Noncentral Student PDF:' write ( *, '(a)' ) ' STUDENT_NONCENTRAL_CDF evaluates the CDF;' x = 0.50D+00 idf = 10 b = 1.0D+00 call student_noncentral_cdf ( x, idf, b, cdf ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF argument X = ', x write ( *, '(a,i8)' ) ' PDF parameter IDF = ', idf write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' CDF value = ', cdf return end subroutine test1425 ( ) c*********************************************************************72 c cc TEST1425 tests TFN and OWEN_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision h integer n_data double precision t double precision t2 double precision tfn write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1425' write ( *, '(a)' ) ' TFN evaluates Owen''s T function;' write ( *, '(a)' ) ' OWEN_VALUES stores some exact values.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' H A T(H,A) Ex &act' write ( *, '(a)' ) ' ' n_data = 0 10 continue call owen_values ( n_data, h, a, t ) if ( n_data .le. 0 ) then go to 20 end if t2 = tfn ( h, a ) write ( *, '(2x,g14.6,2x,g14.6,2x,g14.6,2x,g14.6)' ) h, a, t2, t go to 10 20 continue return end subroutine test143 ( ) c*********************************************************************72 c cc TEST143 tests TRIANGLE_CDF, TRIANGLE_CDF_INV and TRIANGLE_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf integer i double precision pdf integer seed logical triangle_check double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST143' write ( *, '(a)' ) ' For the Triangle PDF:' write ( *, '(a)' ) ' TRIANGLE_CDF evaluates the CDF;' write ( *, '(a)' ) ' TRIANGLE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' TRIANGLE_PDF evaluates the PDF;' a = 1.0D+00 b = 3.0D+00 c = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. triangle_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST143 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call triangle_sample ( a, b, c, seed, x ) call triangle_pdf ( x, a, b, c, pdf ) call triangle_cdf ( x, a, b, c, cdf ) call triangle_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test144 ( ) c*********************************************************************72 c cc TEST144 tests TRIANGLE_MEAN, TRIANGLE_SAMPLE and TRIANGLE_VARIANCE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c integer i double precision mean integer seed logical triangle_check double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST144' write ( *, '(a)' ) ' For the Triangle PDF:' write ( *, '(a)' ) ' TRIANGLE_MEAN returns the mean;' write ( *, '(a)' ) ' TRIANGLE_SAMPLE samples;' write ( *, '(a)' ) ' TRIANGLE_VARIANCE returns the variance;' a = 1.0D+00 b = 3.0D+00 c = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. triangle_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST144 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call triangle_mean ( a, b, c, mean ) call triangle_variance ( a, b, c, variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter MEAN = ', mean write ( *, '(a,g14.6)' ) ' PDF parameter VARIANCE = ', varia &nce do i = 1, sample_num call triangle_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test145 ( ) c*********************************************************************72 c cc TEST145 tests TRIANGULAR_CDF, TRIANGULAR_CDF_INV, TRIANGULAR_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf integer seed logical triangular_check double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST145' write ( *, '(a)' ) ' For the Triangular PDF:' write ( *, '(a)' ) ' TRIANGULAR_CDF evaluates the CDF;' write ( *, '(a)' ) ' TRIANGULAR_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' TRIANGULAR_PDF evaluates the PDF;' a = 1.0D+00 b = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. triangular_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST145 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call triangular_sample ( a, b, seed, x ) call triangular_pdf ( x, a, b, pdf ) call triangular_cdf ( x, a, b, cdf ) call triangular_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test146 ( ) c*********************************************************************72 c cc TEST146 tests TRIANGULAR_MEAN, TRIANGULAR_SAMPLE, TRIANGULAR_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean integer seed logical triangular_check double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST146' write ( *, '(a)' ) ' For the Triangular PDF:' write ( *, '(a)' ) ' TRIANGULAR_MEAN computes mean;' write ( *, '(a)' ) ' TRIANGULAR_SAMPLE samples;' write ( *, '(a)' ) ' TRIANGULAR_VARIANCE computes variance.' a = 1.0D+00 b = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. triangular_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST146 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call triangular_mean ( a, b, mean ) call triangular_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call triangular_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test147 ( ) c*********************************************************************72 c cc TEST147 tests UNIFORM_01_ORDER_SAMPLE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n parameter ( n = 10 ) integer i integer seed double precision x(n) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST147' write ( *, '(a)' ) ' For the Uniform 01 Order PDF:' write ( *, '(a)' ) ' UNIFORM_ORDER_SAMPLE samples.' write ( *, '(a)' ) ' ' call uniform_01_order_sample ( n, seed, x ) write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Ordered sample:' write ( *, '(a)' ) ' ' do i = 1, n write ( *, '(2x,i8,g14.6)' ) i, x(i) end do return end subroutine test148 ( ) c*********************************************************************72 c cc TEST148 tests UNIFORM_NSPHERE_SAMPLE; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer n parameter ( n = 3 ) integer i integer seed double precision x(n) seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST148' write ( *, '(a)' ) ' For the Uniform PDF on the N-Sphere:' write ( *, '(a)' ) ' UNIFORM_NSPHERE_SAMPLE samples.' write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Dimension N of sphere = ', n write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' Points on the sphere:' write ( *, '(a)' ) ' ' do i = 1, 10 call uniform_nsphere_sample ( n, seed, x ) write ( *, '(2x,i8,3g14.6)' ) i, x(1:n) end do return end subroutine test1485 ( ) c*********************************************************************72 c cc TEST1485 tests UNIFORM_01_CDF, UNIFORM_01_CDF_INV, UNIFORM_01_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision cdf integer i double precision pdf integer seed double precision uniform_01_sample double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1485' write ( *, '(a)' ) ' For the Uniform 01 PDF:' write ( *, '(a)' ) ' UNIFORM_01_CDF evaluates the CDF;' write ( *, '(a)' ) ' UNIFORM_01_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' UNIFORM_01_PDF evaluates the PDF;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 x = uniform_01_sample ( seed ) call uniform_01_pdf ( x, pdf ) call uniform_01_cdf ( x, cdf ) call uniform_01_cdf_inv ( cdf, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test1486 ( ) c*********************************************************************72 c cc TEST1486 tests UNIFORM_01_MEAN, UNIFORM_01_SAMPLE, UNIFORM_01_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer i double precision mean integer seed double precision uniform_01_sample double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1486' write ( *, '(a)' ) ' For the Uniform 01 PDF:' write ( *, '(a)' ) ' UNIFORM_01_MEAN computes mean;' write ( *, '(a)' ) ' UNIFORM_01_SAMPLE samples;' write ( *, '(a)' ) ' UNIFORM_01_VARIANCE computes variance.' call uniform_01_mean ( mean ) call uniform_01_variance ( variance ) write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num x(i) = uniform_01_sample ( seed ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test149 ( ) c*********************************************************************72 c cc TEST149 tests UNIFORM_CDF, UNIFORM_CDF_INV, UNIFORM_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf integer seed logical uniform_check double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST149' write ( *, '(a)' ) ' For the Uniform PDF:' write ( *, '(a)' ) ' UNIFORM_CDF evaluates the CDF;' write ( *, '(a)' ) ' UNIFORM_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' UNIFORM_PDF evaluates the PDF;' a = 1.0D+00 b = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. uniform_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST149 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call uniform_sample ( a, b, seed, x ) call uniform_pdf ( x, a, b, pdf ) call uniform_cdf ( x, a, b, cdf ) call uniform_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test150 ( ) c*********************************************************************72 c cc TEST150 tests UNIFORM_MEAN, UNIFORM_SAMPLE, UNIFORM_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean integer seed logical uniform_check double precision variance double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST150' write ( *, '(a)' ) ' For the Uniform PDF:' write ( *, '(a)' ) ' UNIFORM_MEAN computes mean;' write ( *, '(a)' ) ' UNIFORM_SAMPLE samples;' write ( *, '(a)' ) ' UNIFORM_VARIANCE computes variance.' a = 1.0D+00 b = 10.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. uniform_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST150 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call uniform_mean ( a, b, mean ) call uniform_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', variance do i = 1, sample_num call uniform_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test151 ( ) c*********************************************************************72 c cc TEST151 tests UNIFORM_DISCRETE_CDF, UNIFORM_DISCRETE_CDF_INV, UNIFORM_DISCRETE_PDF; c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer a integer b double precision cdf integer i double precision pdf integer seed logical uniform_discrete_check integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST151' write ( *, '(a)' ) ' For the Uniform Discrete PDF:' write ( *, '(a)' ) ' UNIFORM_DISCRETE_CDF evaluates the CDF;' write ( *, '(a)' ) ' UNIFORM_DISCRETE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' UNIFORM_DISCRETE_PDF evaluates the PDF;' a = 1 b = 6 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,i8)' ) ' PDF parameter B = ', b if ( .not. uniform_discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST151 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call uniform_discrete_sample ( a, b, seed, x ) call uniform_discrete_pdf ( x, a, b, pdf ) call uniform_discrete_cdf ( x, a, b, cdf ) call uniform_discrete_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test152 ( ) c*********************************************************************72 c cc TEST152 tests UNIFORM_DISCRETE_MEAN, UNIFORM_DISCRETE_SAMPLE, UNIFORM_DISCRETE_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) integer a integer b integer i double precision mean integer seed logical uniform_discrete_check double precision variance integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST152' write ( *, '(a)' ) ' For the Uniform discrete PDF:' write ( *, '(a)' ) ' UNIFORM_DISCRETE_MEAN computes the mean;' write ( *, '(a)' ) ' UNIFORM_DISCRETE_SAMPLE samples;' write ( *, '(a)' ) ' UNIFORM_DISCRETE_VARIANCE computes the varia &nce.' a = 1 b = 6 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,i8)' ) ' PDF parameter B = ', b if ( .not. uniform_discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST143 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call uniform_discrete_mean ( a, b, mean ) call uniform_discrete_variance ( a, b, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call uniform_discrete_sample ( a, b, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test153 ( ) c*********************************************************************72 c cc TEST153 tests UNIFORM_DISCRETE_CDF, UNIFORM_DISCRETE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 02 March 2007 c c Author: c c John Burkardt c implicit none integer a integer b double precision cdf double precision pdf logical uniform_discrete_check integer x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST153' write ( *, '(a)' ) ' For the Uniform discrete PDF.' write ( *, '(a)' ) ' UNIFORM_DISCRETE_PDF evaluates the PDF.' write ( *, '(a)' ) ' UNIFORM_DISCRETE_CDF evaluates the CDF.' a = 1 b = 6 write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' PDF parameter A = ', a write ( *, '(a,i8)' ) ' PDF parameter B = ', b if ( .not. uniform_discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST153 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF(X) CDF(X)' write ( *, '(a)' ) ' ' do x = 0, 6 call uniform_discrete_pdf ( x, a, b, pdf ) call uniform_discrete_cdf ( x, a, b, cdf ) write ( *, '(2x,i8,2g14.6)' ) x, pdf, cdf end do return end subroutine test154 ( ) c*********************************************************************72 c cc TEST154 tests VON_MISES_CDF, VON_MISES_CDF_INV, VON_MISES_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf integer seed logical von_mises_check double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST154' write ( *, '(a)' ) ' For the Von Mises PDF:' write ( *, '(a)' ) ' VON_MISES_CDF evaluates the CDF.' write ( *, '(a)' ) ' VON_MISES_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' VON_MISES_PDF evaluates the PDF.' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. von_mises_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST154 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call von_mises_sample ( a, b, seed, x ) call von_mises_pdf ( x, a, b, pdf ) call von_mises_cdf ( x, a, b, cdf ) call von_mises_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test155 ( ) c*********************************************************************72 c cc TEST155 tests VON_MISES_MEAN, VON_MISES_SAMPLE, VON_MISES_CIRCULAR_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean integer seed double precision circular_variance logical von_mises_check double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST155' write ( *, '(a)' ) ' For the Von Mises PDF:' write ( *, '(a)' ) ' VON_MISES_MEAN computes the mean;' write ( *, '(a)' ) ' VON_MISES_SAMPLE samples.' write ( *, '(a)' ) ' VON_MISES_CIRCULAR_VARIANCE computes the & circular_variance.' a = 1.0D+00 b = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. von_mises_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST155 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call von_mises_mean ( a, b, mean ) call von_mises_circular_variance ( a, b, circular_variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF circular variance = ', circu &lar_variance do i = 1, sample_num call von_mises_sample ( a, b, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_circular_variance ( sample_num, x, circular_variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_n &um write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample circular variance = ', circular &_variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test1555 ( ) c*********************************************************************72 c cc TEST1555 tests VON_MISES_CDF, VON_MISES_CDF_VALUES. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision fx double precision fx2 integer n_data double precision x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST1555:' write ( *, '(a)' ) ' VON_MISES_CDF evaluates the cumulative distr &ibution' write ( *, '(a)' ) ' function for the von Mises PDF.' write ( *, '(a)' ) ' VON_MISES_CDF_VALUES returns some exact valu &es.' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A is the dominant angle;' write ( *, '(a)' ) ' B is a measure of spread;' write ( *, '(a)' ) ' X is the angle;' write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' A B X Ex &act F Computed F' write ( *, '(a)' ) ' ' n_data = 0 10 continue call von_mises_cdf_values ( n_data, a, b, x, fx ) if ( n_data .eq. 0 ) then go to 20 end if call von_mises_cdf ( x, a, b, fx2 ) write ( *, '(2x,f8.4,2x,f8.4,2x,f8.4,g24.16,g24.16)' ) a, b, x, &fx, fx2 go to 10 20 continue return end subroutine test156 ( ) c*********************************************************************72 c cc TEST156 tests WEIBULL_CDF, WEIBULL_CDF_INV, WEIBULL_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision c double precision cdf integer i double precision pdf integer seed logical weibull_check double precision x double precision x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST156' write ( *, '(a)' ) ' For the Weibull PDF:' write ( *, '(a)' ) ' WEIBULL_CDF evaluates the CDF;' write ( *, '(a)' ) ' WEIBULL_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' WEIBULL_PDF evaluates the PDF;' x = 3.0D+00 a = 2.0D+00 b = 3.0D+00 c = 4.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. weibull_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST156 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call weibull_sample ( a, b, c, seed, x ) call weibull_pdf ( x, a, b, c, pdf ) call weibull_cdf ( x, a, b, c, cdf ) call weibull_cdf_inv ( cdf, a, b, c, x2 ) write ( *, '(2x,4g14.6)' ) x, pdf, cdf, x2 end do return end subroutine test157 ( ) c*********************************************************************72 c cc TEST157 tests WEIBULL_MEAN, WEIBULL_SAMPLE, WEIBULL_VARIANCE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b double precision c integer i double precision mean integer seed double precision variance logical weibull_check double precision x(sample_num) double precision xmax double precision xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST157' write ( *, '(a)' ) ' For the Weibull PDF:' write ( *, '(a)' ) ' WEIBULL_MEAN computes the mean;' write ( *, '(a)' ) ' WEIBULL_SAMPLE samples;' write ( *, '(a)' ) ' WEIBULL_VARIANCE computes the variance.' a = 2.0D+00 b = 3.0D+00 c = 4.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b write ( *, '(a,g14.6)' ) ' PDF parameter C = ', c if ( .not. weibull_check ( a, b, c ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST157 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call weibull_mean ( a, b, c, mean ) call weibull_variance ( a, b, c, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call weibull_sample ( a, b, c, seed, x(i) ) end do call r8vec_mean ( sample_num, x, mean ) call r8vec_variance ( sample_num, x, variance ) call r8vec_max ( sample_num, x, xmax ) call r8vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,g14.6)' ) ' Sample maximum = ', xmax write ( *, '(a,g14.6)' ) ' Sample minimum = ', xmin return end subroutine test158 ( ) c*********************************************************************72 c cc TEST158 tests WEIBULL_DISCRETE_CDF, WEIBULL_DISCRETE_CDF_INV, WEIBULL_DISCRETE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf integer i double precision pdf integer seed logical weibull_discrete_check integer x integer x2 seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST158' write ( *, '(a)' ) ' For the Weibull Discrete PDF,' write ( *, '(a)' ) ' WEIBULL_DISCRETE_CDF evaluates the CDF;' write ( *, '(a)' ) ' WEIBULL_DISCRETE_CDF_INV inverts the CDF.' write ( *, '(a)' ) ' WEIBULL_DISCRETE_PDF evaluates the PDF;' a = 0.50D+00 b = 1.5D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. weibull_discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST158 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF CDF & CDF_INV' write ( *, '(a)' ) ' ' do i = 1, 10 call weibull_discrete_sample ( a, b, seed, x ) call weibull_discrete_pdf ( x, a, b, pdf ) call weibull_discrete_cdf ( x, a, b, cdf ) call weibull_discrete_cdf_inv ( cdf, a, b, x2 ) write ( *, '(2x,i14,2g14.6,i14)' ) x, pdf, cdf, x2 end do return end subroutine test159 ( ) c*********************************************************************72 c cc TEST159 tests WEIBULL_DISCRETE_CDF, WEIBULL_DISCRETE_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision b double precision cdf double precision pdf logical weibull_discrete_check integer x write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST159' write ( *, '(a)' ) ' For the Weibull Discrete PDF:' write ( *, '(a)' ) ' WEIBULL_DISCRETE_PDF evaluates the PDF;' write ( *, '(a)' ) ' WEIBULL_DISCRETE_CDF evaluates the CDF.' a = 0.50D+00 b = 1.5D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. weibull_discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST159 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF(X) CDF(X)' write ( *, '(a)' ) ' ' do x = 0, 10 call weibull_discrete_pdf ( x, a, b, pdf ) call weibull_discrete_cdf ( x, a, b, cdf ) write ( *, '(2x,i8,2g14.6)' ) x, pdf, cdf end do return end subroutine test160 ( ) c*********************************************************************72 c cc TEST160 tests WEIBULL_DISCRETE_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a double precision b integer i double precision mean integer seed double precision variance logical weibull_discrete_check integer x(sample_num) integer xmax integer xmin seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST160' write ( *, '(a)' ) ' For the discrete Weibull PDF:' write ( *, '(a)' ) ' WEIBULL_DISCRETE_SAMPLE samples.' a = 0.5D+00 b = 1.5D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a write ( *, '(a,g14.6)' ) ' PDF parameter B = ', b if ( .not. weibull_discrete_check ( a, b ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST160 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if do i = 1, sample_num call weibull_discrete_sample ( a, b, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end subroutine test161 ( ) c*********************************************************************72 c cc TEST161 tests ZIPF_CDF and ZIPF_PDF. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none double precision a double precision cdf double precision pdf integer x logical zipf_check write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST161' write ( *, '(a)' ) ' For the Zipf PDF:' write ( *, '(a)' ) ' ZIPF_PDF evaluates the PDF.' write ( *, '(a)' ) ' ZIPF_CDF evaluates the CDF.' a = 2.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. zipf_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST161 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if write ( *, '(a)' ) ' ' write ( *, '(a)' ) ' X PDF(X) CDF(X)' write ( *, '(a)' ) ' ' do x = 1, 20 call zipf_pdf ( x, a, pdf ) call zipf_cdf ( x, a, cdf ) write ( *, '(2x,i8,2x,2g14.6)' ) x, pdf, cdf end do return end subroutine test162 ( ) c*********************************************************************72 c cc TEST162 tests ZIPF_SAMPLE. c c Licensing: c c This code is distributed under the MIT license. c c Modified: c c 13 July 2013 c c Author: c c John Burkardt c implicit none integer sample_num parameter ( sample_num = 1000 ) double precision a integer i double precision mean integer seed double precision variance integer x(sample_num) integer xmax integer xmin logical zipf_check seed = 123456789 write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST162' write ( *, '(a)' ) ' For the Zipf PDF:' write ( *, '(a)' ) ' ZIPF_SAMPLE samples.' a = 4.0D+00 write ( *, '(a)' ) ' ' write ( *, '(a,g14.6)' ) ' PDF parameter A = ', a if ( .not. zipf_check ( a ) ) then write ( *, '(a)' ) ' ' write ( *, '(a)' ) 'TEST162 - Fatal error!' write ( *, '(a)' ) ' The parameters are not legal.' return end if call zipf_mean ( a, mean ) call zipf_variance ( a, variance ) write ( *, '(a,g14.6)' ) ' PDF mean = ', mean write ( *, '(a,g14.6)' ) ' PDF variance = ', varia &nce do i = 1, sample_num call zipf_sample ( a, seed, x(i) ) end do call i4vec_mean ( sample_num, x, mean ) call i4vec_variance ( sample_num, x, variance ) call i4vec_max ( sample_num, x, xmax ) call i4vec_min ( sample_num, x, xmin ) write ( *, '(a)' ) ' ' write ( *, '(a,i8)' ) ' Sample size = ', sample_num write ( *, '(a,g14.6)' ) ' Sample mean = ', mean write ( *, '(a,g14.6)' ) ' Sample variance = ', variance write ( *, '(a,i8)' ) ' Sample maximum = ', xmax write ( *, '(a,i8)' ) ' Sample minimum = ', xmin return end