Numerical integration: Difference between revisions
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(Add Python) |
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let square x = x *. x |
let square x = x *. x |
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let rl = integrate square 0. 1. 10 left_rect |
let rl = integrate square 0. 1. 10 left_rect |
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let rm = integrate square 0. 1. 10 mid_rect |
let rm = integrate square 0. 1. 10 mid_rect |
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let t = integrate square 0. 1. 10 trapezium |
let t = integrate square 0. 1. 10 trapezium |
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let s = integrate square 0. 1. 10 simpson |
let s = integrate square 0. 1. 10 simpson |
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=={{header|Python}}== |
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<python> |
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def left_rect(f,x,h): |
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return f(x) |
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def mid_rect(f,x,h): |
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return f(x + h/2) |
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def right_rect(f,x,h): |
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return f(x+h) |
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def trapezium(f,x,h): |
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return (f(x) + f(x+h))/2.0 |
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def simpson(f,x,h): |
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return (f(x) + 4*f(x + h/2) + f(x+h))/6.0 |
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def square(x): |
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return x*x |
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def integrate( f, a, b, steps, meth): |
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h= (b-a)/steps |
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ival = h*sum( (meth(f, a+i*h, h) for i in range(0,steps))) |
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return ival |
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t = integrate( square, 3.0, 7.0, 30, simpson ) |
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</python> |
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=={{header|Scheme}}== |
=={{header|Scheme}}== |
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