#*****************************************************************************80
#
## romberg_test tests romberg.
#
#  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:
#
#    07 March 2020
#
#  Author:
#
#    John Burkardt
#
cat ( date ( ), "\n" )
cat ( "\n" )
cat ( "romberg_test\n" )
cat ( " ", version$version.string, "\n" )
cat ( "  romberg estimates an integral using Romberg integration.\n" )

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

f <- function ( x ) { (sin(x))^2 + log(x) }
cat ( "\n" )
cat ( "  f(x) = (sin(x))^2 + log(x)\n" )
cat ( "\n" )

a = 1.0
b = 10.0
m = 3
value <- romberg ( f, a, b, m = m )
cat ( "  romberg ( f, ", a, ",", b, ", m = ", m, " ) = ", value, "\n" )

a = 1.0
b = 10.0
m = 5
value <- romberg ( f, a, b, m = m )
cat ( "  romberg ( f, ", a, ",", b, ", m = ", m, " ) = ", value, "\n" )

a = 1.0
b = 10.0
m = 10
value <- romberg ( f, a, b, m = m )
cat ( "  romberg ( f, ", a, ",", b, ", m = ", m, " ) = ", value, "\n" )
#
#  Terminate.
#
cat ( "\n" )
cat ( "romberg_test\n" )
cat ( "  Normal end of execution.\n" )
cat ( date ( ), "\n" )

quit ( )