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The package ratpow
provides functions that return the coefficients
of the numerator of a CRE polynomial in a given variable.
For example,
ratp_coeffs(5*x^7-3*x^2+4,x)
returns [[7,5],[2,-3],[0,4]]
, which omits zero terms;
ratp_dense_coeffs(5*x^7-y*x^2+4,x)
returns [5,0,0,0,0,-y,0,4]
, which includes zero terms;
ratp_dense_coeffs((x^4-y^4)/(x-y),x)
returns [1,y,y^2,y^3]
,
because CRE simplifies the expression to x^3+y*x^2+y^2*x+y^3
;
ratp_dense_coeffs(x+sqrt(x),x)
returns [1,sqrt(x)]
while ratp_dense_coeffs(x+sqrt(x),sqrt(x))
returns [1,x]
:
in CRE form, x
and sqrt(x)
are treated as independent variables.
The returned coefficients are in CRE form except for numbers.
For the list of vars of a CRE polynomial, use showratvars
.
For the denominator of a CRE polynomial, use ratdenom
.
For information about CREs see also rat
, ratdisrep
and
showratvars
.
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