X-Git-Url: http://gitweb.michael.orlitzky.com/?p=octave.git;a=blobdiff_plain;f=legendre_p_tilde.m;h=3bb30be664003fcab28ca19259d7b8f4821f045b;hp=e5e6f63b39b929731c3c8281f59b4510fbbf494c;hb=d2a898d4e9937c00b1a81e35c0492a8ed80c8950;hpb=ee06b882dfb9a86788d7057cec8ca6d7680c5ca5 diff --git a/legendre_p_tilde.m b/legendre_p_tilde.m index e5e6f63..3bb30be 100644 --- a/legendre_p_tilde.m +++ b/legendre_p_tilde.m @@ -1,24 +1,25 @@ function P_tilde = legendre_p_tilde(n, a, b) - ## Return the nth Legendre polynomial scaled to the interval [a,b]. - ## - ## INPUTS: - ## - ## * ``n`` - The index of the polynomial that we want. - ## - ## * ``a`` - The left endpoint of the interval. - ## - ## * ``b`` - The right endpoint of the interval. - ## - ## OUTPUTS: - ## - ## * ``P_tilde`` - A polynomial function of one argument. - ## + % Return the `n`th Legendre polynomial scaled to the interval [a,b]. + % + % INPUT: + % + % * ``n`` - The index of the polynomial that we want. + % + % * ``a`` - The left endpoint of the interval. + % + % * ``b`` - The right endpoint of the interval. + % + % OUTPUT: + % + % * ``P_tilde`` - A polynomial function of one argument. + % if (n < 0) - ## Can't do anything here. Return nothing. + % Can't do anything here. Return nothing. P = NA; else - ## Compute the Legendre polynomial over [-1,1] and mangle it. - P = legendre_p(n) - P_tilde = @(x) P( (2/(b-a))*x + 1 - (2*b)/(b-a) ) + % Compute the Legendre polynomial over [-1,1] and mangle it to fit + % the interval [a,b]. + P = legendre_p(n); + P_tilde = @(x) P( (2/(b-a)).*x + 1 - (2*b)/(b-a) ); end end