43 lines
1.0 KiB
C
43 lines
1.0 KiB
C
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/**
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* Copyright (c) 2016 Nicolás A. Ortega
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* License: GNU GPLv3
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*/
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#include <stdio.h>
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#include <math.h>
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inline double func(double x);
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int main(void) {
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double a, b;
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printf("Enter \"min, max\": ");
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scanf("%lf, %lf", &a, &b);
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unsigned int parts;
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printf("Number of parts: ");
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scanf("%u", &parts);
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double lRect, rRect, mRect, trap, simp;
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lRect = rRect = mRect = trap = simp = 0;
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for(unsigned int i = 0; i < parts; ++i) {
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double p0 = a + (i * (b - a) / parts);
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double p1 = p0 + ((b - a) / parts);
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lRect += func(p0) * (p1 - p0);
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rRect += func(p1) * (p1 - p0);
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mRect += func((p0 + p1) / 2) * (p1 - p0);
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trap += (func(p0) + func(p1)) / 2 * (p1 - p0);
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simp += (p1 - p0) / 6 * (func(p0) + func(p1) + 4 * func((p0 + p1) / 2));
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}
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printf("Left Rectangle: %lf\n", lRect);
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printf("Right rectangle: %lf\n", rRect);
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printf("Middle Point Rectangle: %lf\n", mRect);
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printf("Trapezoidal: %lf\n", trap);
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printf("Simpson: %lf\n", simp);
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return 0;
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}
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double func(double x) {
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return pow(x, 3.0) + 4.0 * x - 2.0;
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}
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