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polsbt

Substitute Polynomial Variable

SYNOPSIS:

int a, b;
double a[na], b[nb], c[nc];
polsbt( a, na, b, nb, c );


DESCRIPTION:

If a and b are polynomials, and t = a(x), then
    c(t) = b(a(x))
is a polynomial found by substituting a(x) for t.

The subroutine call for this is
polsbt( a, na, b, nb, c );

a, b, c are polynomials of degree na, nb, nc respectively.
The degree of a polynomial cannot exceed a run-time value MAXPOL.
An operation that attempts to use or generate a polynomial of higher degree may produce a result that suffers truncation at degree MAXPOL.
The value of MAXPOL is set by calling the function
polini( MAXPOL );

Each polynomial is represented by an array containing its coefficients, together with a separately declared integer equal to the degree of the polynomial. 
The coefficients appear in ascending order; that is,

                                       2                     na
a(x)  =  a[0]  +  a[1] * x  +  a[2] * x  +  ...  +  a[na] * x  .