basic API

poly1d(c_or_r[, r, variable]) A one-dimensional polynomial class.
polyval(p, x) Evaluate a polynomial at specific values.
poly(seq_of_zeros) Find the coefficients of a polynomial with the given sequence of roots.
roots(p) Return the roots of a polynomial with coefficients given in p.

filter

polyfit(x, y, deg[, rcond, full, w, cov]) Least squares polynomial fit.

calculus

polyder(p[, m]) Return the derivative of the specified order of a polynomial.
polyint(p[, m, k]) Return an antiderivative (indefinite integral) of a polynomial.

Arithmetic

polyadd(a1, a2) Find the sum of two polynomials.
polydiv(u, v) Returns the quotient and remainder of polynomial division.
polymul(a1, a2) Find the product of two polynomials.
polysub(a1, a2) Difference (subtraction) of two polynomials.

创建多项式

  • f = np.poly1d(a)

求微分和积分

  • f.deriv()
  • f.integ()
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from numpy import poly1d
p = poly1d([3,4,5])
print(p)
   2
3 x + 4 x + 5
print(p*p)
   4      3      2
9 x + 24 x + 46 x + 40 x + 25
print(p.integ(k=6))
   3     2
1 x + 2 x + 5 x + 6
print(p.deriv())
6 x + 4
p([4, 5])
array([ 69, 100])