#*****************************************************************************80
#
## mcint_test tests mcint.
#
#  Licensing:
#
#    Copyright 2016 James P. Howard, II
#
#    The computer code and data files on this web page are distributed under
#    https://opensource.org/licenses/BSD-2-Clause, the BSD-2-Clause license.
#
#  Modified:
#
#    09 March 2020
#
#  Author:
#
#    John Burkardt
#
cat ( date ( ), "\n" )
cat ( "\n" )
cat ( "mcint_test\n" )
cat ( " ", version$version.string, "\n" )
cat ( "  mcint estimates an integral using a Monte Carlo approach.\n" )

source ( "/home/burkardt/public_html/r_src/mcint/mcint.R" )  

f <- function ( x ) { sqrt ( 1.0 - x^2 ) }
cat ( "\n" )
cat ( "  f(x) = sqrt ( 1.0 - x^2 )\n" )
cat ( "\n" )

a = 0.0
b = 1.0
m = 1000
value <- mcint ( f, a, b, m = m ) * 4
cat ( "  mcint ( f, ", a, ",", b, ", m = ", m, " ) * 4 = ", value, "\n" )

a = 0.0
b = 1.0
m = 10000
value <- mcint ( f, a, b, m = m ) * 4
cat ( "  mcint ( f, ", a, ",", b, ", m = ", m, " ) * 4 = ", value, "\n" )

a = 0.0
b = 1.0
m = 100000
value <- mcint ( f, a, b, m = m ) * 4
cat ( "  mcint ( f, ", a, ",", b, ", m = ", m, " ) * 4 = ", value, "\n" )

a = 0.0
b = 1.0
m = 1000000
value <- mcint ( f, a, b, m = m ) * 4
cat ( "  mcint ( f, ", a, ",", b, ", m = ", m, " ) * 4 = ", value, "\n" )
#
#  Terminate.
#
cat ( "\n" )
cat ( "mcint_test\n" )
cat ( "  Normal end of execution.\n" )
cat ( date ( ), "\n" )

quit ( )