function spline_test14 ( ) %*****************************************************************************80 % %% TEST14 tests SPLINE_BETA_VAL. % % Licensing: % % This code is distributed under the GNU LGPL license. % % Modified: % % 01 February 2009 % % Author % % John Burkardt % ndata = 11; nsample = 4; fprintf ( 1, '\n' ); fprintf ( 1, 'TEST14\n' ); fprintf ( 1, ' SPLINE_BETA_VAL evaluates the BETA spline.\n' ); for i = 1 : ndata tdata(i) = i - 1; ydata(i) = sin ( 2.0E+00 * pi * tdata(i) / ( ndata - 1) ); end fprintf ( 1, '\n' ); fprintf ( 1, ' The data to be interpolated:\n' ); fprintf ( 1, '\n' ); fprintf ( 1, ' Number of data values = %d\n', ndata ); fprintf ( 1, '\n' ); fprintf ( 1, ' T Y\n' ); fprintf ( 1, '\n' ); for i = 1 : ndata fprintf ( 1, '%14f %14f\n', tdata(i), ydata(i) ); end beta1 = 1.0E+00; beta2 = 0.0E+00; fprintf ( 1, '\n' ); fprintf ( 1, ' BETA1 = %f\n', beta1 ); fprintf ( 1, ' BETA2 = %f\n', beta2 ); 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 = spline_beta_val ( beta1, beta2, ndata, tdata, ydata, tval ); if ( 0 < i & j == 0 ) mark = '*'; else mark = ' '; end fprintf ( 1, '%c %14f %14f\n', mark, tval, yval ); end end beta1 = 1.0E+00; beta2 = 100.0E+00; fprintf ( 1, '\n' ); fprintf ( 1, ' BETA1 = %f\n', beta1 ); fprintf ( 1, ' BETA2 = %f\n', beta2 ); 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 = spline_beta_val ( beta1, beta2, ndata, tdata, ydata, tval ); if ( 0 < i & j == 0 ) mark = '*'; else mark = ' '; end fprintf ( 1, '%c %14f %14f\n', mark, tval, yval ); end end beta1 = 100.0E+00; beta2 = 0.0E+00; fprintf ( 1, '\n' ); fprintf ( 1, ' BETA1 = %f\n', beta1 ); fprintf ( 1, ' BETA2 = %f\n', beta2 ); 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 = spline_beta_val ( beta1, beta2, ndata, tdata, ydata, tval ); if ( 0 < i & j == 0 ) mark = '*'; else mark = ' '; end fprintf ( 1, '%c %14f %14f\n', mark, tval, yval ); end end return end