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added a test that was used some time ago while looking at MATH-341

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git-svn-id: https://svn.apache.org/repos/asf/commons/proper/math/trunk@917261 13f79535-47bb-0310-9956-ffa450edef68
This commit is contained in:
Luc Maisonobe 2010-02-28 19:24:01 +00:00
parent 8a687cc604
commit 37bef8b8f3
1 changed files with 28 additions and 0 deletions
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src/test/java/org/apache/commons/math/analysis/polynomials/PolynomialFunctionTest.java
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@ -231,6 +231,34 @@ public final class PolynomialFunctionTest extends TestCase {
assertEquals(p2, TestUtils.serializeAndRecover(p2));
}
/**
* tests the firstDerivative function by comparison
*
* <p>This will test the functions
* <tt>f(x) = x^3 - 2x^2 + 6x + 3, g(x) = 3x^2 - 4x + 6</tt>
* and <tt>h(x) = 6x - 4</tt>
*/
public void testMath341() throws MathException {
double[] f_coeff = { 3.0, 6.0, -2.0, 1.0 };
double[] g_coeff = { 6.0, -4.0, 3.0 };
double[] h_coeff = { -4.0, 6.0 };
PolynomialFunction f = new PolynomialFunction( f_coeff );
PolynomialFunction g = new PolynomialFunction( g_coeff );
PolynomialFunction h = new PolynomialFunction( h_coeff );
// compare f' = g
assertEquals( f.derivative().value(0.0), g.value(0.0), tolerance );
assertEquals( f.derivative().value(1.0), g.value(1.0), tolerance );
assertEquals( f.derivative().value(100.0), g.value(100.0), tolerance );
assertEquals( f.derivative().value(4.1), g.value(4.1), tolerance );
assertEquals( f.derivative().value(-3.25), g.value(-3.25), tolerance );
// compare g' = h
assertEquals( g.derivative().value(Math.PI), h.value(Math.PI), tolerance );
assertEquals( g.derivative().value(Math.E), h.value(Math.E), tolerance );
}
public void checkPolynomial(PolynomialFunction p, String reference) {
assertEquals(reference, p.toString());
}