#*****************************************************************************80
#
## leastsquares_test tests leastsquares.
#
#  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:
#
#    20 February 2020
#
#  Author:
#
#    John Burkardt
#
cat ( date ( ), "\n" )
cat ( "\n" )
cat ( "leastsquares_test\n" )
cat ( " ", version$version.string, "\n" )
cat ( "  leastsquares solves a linear system using the normal equations.\n" )

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

b <- trees$Volume

A <- cbind ( 1, trees$Girth, trees$Height )

cat ( "\n" )
cat ( "The matrix A:\n" )
cat ( "\n" )
A

cat ( "\n" )
cat ( "The right hand side b:\n" )
cat ( "\n" )
b

x <- leastsquares ( A, b )

cat ( "\n" )
cat ( "The least squares solution x:\n" )
cat ( "\n" )
x
#
#  Terminate.
#
cat ( "\n" )
cat ( "leastsquares_test\n" )
cat ( "  Normal end of execution.\n" )
cat ( date ( ), "\n" )

quit ( )