allwpilib/wpiunits/src/test/java/edu/wpi/first/units/UnaryFunctionTest.java

// Copyright (c) FIRST and other WPILib contributors.
// Open Source Software; you can modify and/or share it under the terms of
// the WPILib BSD license file in the root directory of this project.

package edu.wpi.first.units;

import static org.junit.jupiter.api.Assertions.assertEquals;

import org.junit.jupiter.api.Test;

class UnaryFunctionTest {
  @Test
  void testApply() {
    UnaryFunction f = x -> x * x;
    assertEquals(1, f.apply(1));
    assertEquals(4, f.apply(2));
    assertEquals(2, f.apply(1.414), 1e-3);
    assertEquals(64, f.apply(-8));
  }

  @Test
  void testPipeTo() {
    UnaryFunction f = x -> x * x;
    UnaryFunction g = x -> x + 1;
    var h = f.pipeTo(g); // h(x) = g(f(x)) = x^2 + 1
    assertEquals(2, h.apply(1));
    assertEquals(65, h.apply(8));
  }

  @Test
  void testMult() {
    UnaryFunction f = x -> x * x;
    UnaryFunction g = x -> x + 1;
    var h = f.mult(g); // h(x) = f(x) * g(x) = (x^2)(x + 1) = x^3 + x^2
    assertEquals(2, h.apply(1));
    assertEquals(216 + 36, h.apply(6));
    assertEquals(12, h.apply(2));
  }

  @Test
  void testMultScalar() {
    UnaryFunction f = x -> x * x;
    var scalar = 2.5;
    var h = f.mult(scalar); // h(x) = 2.5 x^2
    assertEquals(250, h.apply(10));
    assertEquals(2.5, h.apply(1));
    assertEquals(2.5, h.apply(-1));
    assertEquals(10, h.apply(2));
  }

  @Test
  void testDivZeroDenominator() {
    UnaryFunction f = x -> x;
    UnaryFunction g = x -> 0;
    var h = f.div(g);
    assertEquals(0, h.apply(0));
    assertEquals(Double.POSITIVE_INFINITY, h.apply(1));
    assertEquals(Double.NEGATIVE_INFINITY, h.apply(-1));
  }

  @Test
  void testDivNonzeroDenominator() {
    UnaryFunction f = x -> 2 * x;
    UnaryFunction g = x -> x + 1;
    var h = f.div(g);
    assertEquals(0, h.apply(0));
    assertEquals(4, h.apply(-2));
    assertEquals(16.0 / 9, h.apply(8));
  }

  @Test
  void testDivScalar() {
    UnaryFunction f = x -> x * x;
    var scalar = 2.5;
    var h = f.div(scalar); // h(x) = x^2 / 2.5
    assertEquals(10, h.apply(5));
  }

  @Test
  void testExp() {
    UnaryFunction f = x -> x * x;
    UnaryFunction g = x -> x + 2;
    var h = f.exp(g); // h(x) = f(x) ^ g(x) = (x^2)^(x + 2)
    assertEquals(1, h.apply(1));
    assertEquals(0, h.apply(0));
    assertEquals(1, h.apply(-2));
    assertEquals(256, h.apply(2)); // (2^2)^(2 + 2) = 4^4
    assertEquals(59049, h.apply(3)); // (3^2)^(3 + 2) = 9^5
  }

  @Test
  void testExpScalar() {
    UnaryFunction f = x -> x * x;
    var scalar = 4;
    var h = f.exp(scalar); // h(x) = f(x)^4 = x^8
    assertEquals(0, h.apply(0));
    assertEquals(1, h.apply(1));
    assertEquals(1, h.apply(-1));
    assertEquals(256, h.apply(2));
    assertEquals(6561, h.apply(3));
  }
}