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Adaptive Simpson's Rule with constant 1/1000 - Pastebin.com
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Adaptive Simpson's Rule with constant 1/1000
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- function [outI, outX] = adaptive_two_simpson_new_constant (func, a, b, tol)
- m = (a+b)/2;
- ##c = 1/(1/16-1);
- k = 1/1000;
- [outI_0, outX_0] = composite_two_simpson(func, a, b, (b-a)/2 );
- [outI_1, outX_1] = composite_two_simpson(func, a, m, (m-a)/2 );
- [outI_2, outX_2] = composite_two_simpson(func, m, b, (b-m)/2 );
- if abs(k*(outI_0 - (outI_1 + outI_2))) < tol
- outI = outI_1 + outI_2;
- outX = unique([outX_1, outX_2]);
- else
- [outI_3, outX_3] = adaptive_two_simpson_new_constant(func, a, m, tol/2);
- [outI_4, outX_4] = adaptive_two_simpson_new_constant(func, m, b, tol/2);
- outI = outI_3 + outI_4;
- outX = unique([outX_3, outX_4]);
- endif
- endfunction
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