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Action:
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Creates a cubic law given {a,b,f(a),f(b),f'(a),f'(b)}.
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Filename:
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kern/kern_scm/law_scm.cxx
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APIs:
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api_make_cubic
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Syntax:
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(law:cubic a b f-a f-b df-a df-b)
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Arg Types:
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a
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real
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b
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real
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f-a
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real
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f-b
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real
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df-a
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real
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df-b
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real
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Returns:
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boolean
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Description:
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Produces a cubic a polynomial with given boundary conditions for both it and its first derivative.
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a and
b specifies the boundary values.
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f-a and
f-b are the desired output of the law at
a and
b.
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df-a and
df-b are the desired output of the first derivative at
a and
b.
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Example:
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; law:cubic
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; Create a law.
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(define law1 (law:cubic 0 1 2 3 4 5))
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;; law1
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; According to the definition, if a 0 is input,
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; the output should be 2 and its first derivative
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; at 0 is 4.
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(law:eval law1 0)
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;; 2
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(law:eval law1 1)
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;; 3
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(define deriv (law:derivative law1))
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;; deriv
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(law:eval deriv 0)
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;; 4
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(law:eval deriv 1)
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;; 5
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