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authorGuido van Rossum <guido@python.org>1998-11-02 15:38:51 (GMT)
committerGuido van Rossum <guido@python.org>1998-11-02 15:38:51 (GMT)
commite0fbe1c26de5fde580912b80d3667ade05bbba5f (patch)
treeca9ffde552d9241b12f1c6ea21862abc12a6925d /Lib/lib-old/poly.py
parentb736a87703894c4f56cbf09ab82bae6e63e6862e (diff)
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Declaring zmod and poly obsolete. They have problems.
Diffstat (limited to 'Lib/lib-old/poly.py')
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diff --git a/Lib/lib-old/poly.py b/Lib/lib-old/poly.py
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+# module 'poly' -- Polynomials
+
+# A polynomial is represented by a list of coefficients, e.g.,
+# [1, 10, 5] represents 1*x**0 + 10*x**1 + 5*x**2 (or 1 + 10x + 5x**2).
+# There is no way to suppress internal zeros; trailing zeros are
+# taken out by normalize().
+
+def normalize(p): # Strip unnecessary zero coefficients
+ n = len(p)
+ while p:
+ if p[n-1]: return p[:n]
+ n = n-1
+ return []
+
+def plus(a, b):
+ if len(a) < len(b): a, b = b, a # make sure a is the longest
+ res = a[:] # make a copy
+ for i in range(len(b)):
+ res[i] = res[i] + b[i]
+ return normalize(res)
+
+def minus(a, b):
+ neg_b = map(lambda x: -x, b[:])
+ return plus(a, neg_b)
+
+def one(power, coeff): # Representation of coeff * x**power
+ res = []
+ for i in range(power): res.append(0)
+ return res + [coeff]
+
+def times(a, b):
+ res = []
+ for i in range(len(a)):
+ for j in range(len(b)):
+ res = plus(res, one(i+j, a[i]*b[j]))
+ return res
+
+def power(a, n): # Raise polynomial a to the positive integral power n
+ if n == 0: return [1]
+ if n == 1: return a
+ if n/2*2 == n:
+ b = power(a, n/2)
+ return times(b, b)
+ return times(power(a, n-1), a)
+
+def der(a): # First derivative
+ res = a[1:]
+ for i in range(len(res)):
+ res[i] = res[i] * (i+1)
+ return res
+
+# Computing a primitive function would require rational arithmetic...