40 lines
1005 B
C++
40 lines
1005 B
C++
#include <iostream>
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#include <math.h>
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using namespace std;
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double derivative(double (*f)(double), double x, double epsilon) {
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return (f(x + epsilon) - f(x)) / epsilon;
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}
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bool test_interval(double epsilon, double precision) {
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for (double x = 0; x <= 3.14; x += 0.0001) {
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double approx = derivative(sin, x, epsilon);
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double precise = cos(x);
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if (abs(approx - precise) > precision) {
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return false;
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}
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}
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return true;
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}
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int main() {
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for (double e = 0.003; e > 0.001; e -= 0.000001) {
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if (test_interval(e, 0.001)) {
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cout << "Epsilon found: " << e << endl;
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break;
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}
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}
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double max_diff;
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double max_x;
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for (double x = 0; x <= 3.14; x += 0.0001) {
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double diff = abs(derivative(sin, x, 0.002) - cos(x));
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if (diff > max_diff) {
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max_diff = diff;
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max_x = x;
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}
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}
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cout << "Max diff at " << max_x << " of " << max_diff << endl;
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return 0;
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}
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