function spline_test04 ( ) %*****************************************************************************80 % %% TEST04 tests BASIS_MATRIX_BETA_UNI, BASIS_MATRIX_TMP. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 01 February 2009 % % Author % % John Burkardt % n = 4; ndata = 4; nsample = 4; tdata = [ -1.0E+00, 0.0E+00, 1.0E+00, 2.0E+00 ]'; ydata = [ 4.0E+00, 7.0E+00, 12.0E+00, 19.0E+00 ]'; fprintf ( 1, '\n' ); fprintf ( 1, 'TEST04\n' ); fprintf ( 1, ' BASIS_MATRIX_BETA_UNI sets up the basis matrix\n' ); fprintf ( 1, ' for the uniform beta spline.\n' ); % % First test % beta1 = 1.0E+00; beta2 = 0.0E+00; fprintf ( 1, '\n' ); fprintf ( 1, ' BETA1 = %14f\n', beta1 ); fprintf ( 1, ' BETA2 = %14f\n', beta2 ); mbasis = basis_matrix_beta_uni ( beta1, beta2 ); fprintf ( 1, '\n' ); fprintf ( 1, ' TDATA, YDATA\n' ); fprintf ( 1, '\n' ); for i = 1 : ndata fprintf ( 1, '%12f %12f\n', tdata(i), ydata(i) ); end left = 2; fprintf ( 1, '\n' ); fprintf ( 1, ' T, Spline(T)\n' ); fprintf ( 1, '\n' ); for i = 0 : ndata if ( i == 0 ) tlo = tdata(1) - 0.5E+00 * ( tdata(2) - tdata(1) ); thi = tdata(1); elseif ( i < ndata ) tlo = tdata(i); thi = tdata(i+1); elseif ( ndata <= i ) tlo = tdata(ndata); thi = tdata(ndata) + 0.5E+00 * ( tdata(ndata) - tdata(ndata-1) ); end if ( i < ndata ) jhi = nsample - 1; else jhi = nsample; end for j = 0 : jhi tval = ( ( nsample - j ) * tlo ... + ( j ) * thi ) ... / nsample; yval = basis_matrix_tmp ( left, n, mbasis, ndata, tdata, ydata, tval ); if ( 0 < i & j == 0 ) mark = '*'; else mark = ' '; end fprintf ( 1, '%c %12f %12f\n', mark, tval, yval ); end end % % Second test % beta1 = 1.0E+00; beta2 = 100.0E+00; fprintf ( 1, '\n' ); fprintf ( 1, ' BETA1 = %14f\n', beta1 ); fprintf ( 1, ' BETA2 = %14f\n', beta2 ); mbasis = basis_matrix_beta_uni ( beta1, beta2 ); fprintf ( 1, '\n' ); fprintf ( 1, ' TDATA, YDATA\n' ); fprintf ( 1, '\n' ); for i = 1 : ndata fprintf ( 1, '%12f %12f\n', tdata(i), ydata(i) ); end left = 2; fprintf ( 1, '\n' ); fprintf ( 1, ' T, Spline(T)\n' ); fprintf ( 1, '\n' ); for i = 0 : ndata if ( i == 0 ) tlo = tdata(1) - 0.5E+00 * ( tdata(2) - tdata(1) ); thi = tdata(1); elseif ( i < ndata ) tlo = tdata(i); thi = tdata(i+1); elseif ( ndata <= i ) tlo = tdata(ndata); thi = tdata(ndata) + 0.5E+00 * ( tdata(ndata) - tdata(ndata-1) ); end if ( i < ndata ) jhi = nsample - 1; else jhi = nsample; end for j = 0 : jhi tval = ( ( nsample - j ) * tlo ... + ( j ) * thi ) ... / nsample; yval = basis_matrix_tmp ( left, n, mbasis, ndata, tdata, ydata, tval ); if ( 0 < i & j == 0 ) mark = '*'; else mark = ' '; end fprintf ( 1, '%c %12f %12f\n', mark, tval, yval ); end end % % Third test % beta1 = 100.0E+00; beta2 = 0.0E+00; fprintf ( 1, '\n' ); fprintf ( 1, ' BETA1 = %14f\n', beta1 ); fprintf ( 1, ' BETA2 = %14f\n', beta2 ); mbasis = basis_matrix_beta_uni ( beta1, beta2 ); fprintf ( 1, '\n' ); fprintf ( 1, ' TDATA, YDATA\n' ); fprintf ( 1, '\n' ); for i = 1 : ndata fprintf ( 1, '%12f %12f\n', tdata(i), ydata(i) ); end left = 2; fprintf ( 1, '\n' ); fprintf ( 1, ' T, Spline(T)\n' ); fprintf ( 1, '\n' ); for i = 0 : ndata if ( i == 0 ) tlo = tdata(1) - 0.5E+00 * ( tdata(2) - tdata(1) ); thi = tdata(1); elseif ( i < ndata ) tlo = tdata(i); thi = tdata(i+1); elseif ( ndata <= i ) tlo = tdata(ndata); thi = tdata(ndata) + 0.5E+00 * ( tdata(ndata) - tdata(ndata-1) ); end if ( i < ndata ) jhi = nsample - 1; else jhi = nsample; end for j = 0 : jhi tval = ( ( nsample - j ) * tlo ... + ( j ) * thi ) ... / nsample; yval = basis_matrix_tmp ( left, n, mbasis, ndata, tdata, ydata, tval ); if ( 0 < i & j == 0 ) mark = '*'; else mark = ' '; end fprintf ( 1, '%c %12f %12f\n', mark, tval, yval ); end end return end