Translated Math/Oscillate tests
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@ -1,232 +1,220 @@
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#include "CppUnitTest.h"
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#include "../_TestingUtilities/Testutil.h"
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#include "../Eule/Random.h"
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#include "../Eule/Math.h"
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#include "../Eule/Constants.h"
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#include <array>
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#include <sstream>
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#include "Catch2.h"
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#include <Eule/Random.h>
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#include <Eule/Math.h>
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#include <Eule/Constants.h>
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using namespace Microsoft::VisualStudio::CppUnitTestFramework;
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using namespace Eule;
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namespace _Math
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// Checks that an oscillation of speed 1 between -1 and 1 is just equal to sin(counter*pi-pi/2)
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TEST_CASE("Oracle_Sin", "[Math][Oscillate]")
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{
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TEST_CLASS(_Oscillate)
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{
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public:
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double rnd = Random::RandomRange(-1000, 1000);
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// Checks that an oscillation of speed 1 between -1 and 1 is just equal to sin(counter*pi-pi/2)
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TEST_METHOD(Oracle_Sin)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double rnd = Random::RandomRange(-1000, 1000);
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// Exercise
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const double result = Math::Oscillate(-1, 1, rnd, 1);
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// Exercise
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const double result = Math::Oscillate(-1, 1, rnd, 1);
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// Verify
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const double expected = sin(rnd * PI - HALF_PI);
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Assert::IsTrue(Math::Similar(expected, result));
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}
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// Verify
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const double expected = sin(rnd * PI - HALF_PI);
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REQUIRE(Math::Similar(expected, result));
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}
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return;
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}
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// Tests that the result is a, if the counter is 0 or a whole, even integer
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TEST_METHOD(Returns_a_For_Counter_0)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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const int even = Random::RandomIntRange(-1000, 1000) & ~1;
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// Exercise
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const double result = Math::Oscillate(a, b, even, 1);
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// Verify
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const double expected = a;
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std::wstringstream wss;
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wss << std::endl
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<< "a: " << a << std::endl
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<< "b: " << b << std::endl
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<< "expected: " << expected << std::endl
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<< "result: " << result << std::endl
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<< std::endl;
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Assert::IsTrue(Math::Similar(expected, result), wss.str().c_str());
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}
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}
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// Tests that the result is b, if the counter is a whole, uneven integer
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TEST_METHOD(Returns_b_For_Uneven_Whole_Counter)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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const int uneven = Random::RandomIntRange(-1000, 1000) | 1;
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// Exercise
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const double result = Math::Oscillate(a, b, uneven, 1);
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// Verify
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const double expected = b;
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Assert::IsTrue(Math::Similar(expected, result));
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}
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}
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// Tests that the result is (a+b)/2, when counter satisfies (int)x + 0.5
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TEST_METHOD(Returns_ab_mean_for_intx_plus_0p5)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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const int anInt = Random::RandomIntRange(-1000, 1000);
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// Exercise
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const double result = Math::Oscillate(a, b, anInt + 0.5, 1);
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// Verify
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const double expected = (a+b) / 2.0;
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std::wstringstream wss;
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wss << std::endl
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<< "a: " << a << std::endl
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<< "b: " << b << std::endl
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<< "expected: " << expected << std::endl
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<< "result: " << result << std::endl
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<< std::endl;
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Assert::IsTrue(Math::Similar(expected, result), wss.str().c_str());
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}
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}
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// Tests that the result is (3a+b)/4, when counter satisfies 2(int)x + 0.25
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TEST_METHOD(Returns_3ab_mean_for_intx_plus_0p25_counterbase_even)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int even = Random::RandomIntRange(-1000, 1000) & ~1;
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// Exercise
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const double result = Math::Oscillate(a, b, even + 0.25, 1);
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// Verify
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const double expected = (3*a + b) / 4.0;
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std::wstringstream wss;
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wss << std::endl
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<< "a: " << a << std::endl
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<< "b: " << b << std::endl
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<< "expected: " << expected << std::endl
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<< "result: " << result << std::endl
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<< std::endl;
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// Oscillate is not linear, we just want a really rough approximation
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Assert::IsTrue(Math::Similar(expected, result, 0.4), wss.str().c_str());
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}
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}
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// Tests that the result is (a+3b)/4, when counter satisfies 2(int)x + 0.75
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TEST_METHOD(Returns_a3b_mean_for_intx_plus_0p75_counterbase_even)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int even = Random::RandomIntRange(-1000, 1000) & ~1;
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// Exercise
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const double result = Math::Oscillate(a, b, even + 0.75, 1);
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// Verify
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const double expected = (a + 3*b) / 4.0;
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// Oscillate is not linear, we just want a really rough approximation
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Assert::IsTrue(Math::Similar(expected, result, 0.4)); // Oscillate is not linear
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}
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}
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// Tests that the result is (a+3b)/4, when counter satisfies 2(int)x+1 + 0.25
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TEST_METHOD(Returns_3ab_mean_for_intx_plus_0p25_counterbase_uneven)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int uneven = Random::RandomIntRange(-1000, 1000) | 1;
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// Exercise
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const double result = Math::Oscillate(a, b, uneven + 0.25, 1);
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// Verify
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const double expected = (a + 3*b) / 4.0;
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// Oscillate is not linear, we just want a really rough approximation
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Assert::IsTrue(Math::Similar(expected, result, 0.4));
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}
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}
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// Tests that the result is (3a+b)/4, when counter satisfies 2(int)x+1 + 0.75
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TEST_METHOD(Returns_a3b_mean_for_intx_plus_0p75_counterbase_uneven)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int uneven = Random::RandomIntRange(-1000, 1000) | 1;
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// Exercise
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const double result = Math::Oscillate(a, b, uneven + 0.75, 1);
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// Verify
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const double expected = (3*a + b) / 4.0;
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// Oscillate is not linear, we just want a really rough approximation
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Assert::IsTrue(Math::Similar(expected, result, 0.4)); // Oscillate is not linear
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}
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}
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// Tests that doubling the speed will double the frequency
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TEST_METHOD(Doubling_Speed_Doubles_Frequency)
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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// Exercise
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const double result = Math::Oscillate(a, b, 0.5, 2);
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// Verify
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const double expected = b;
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Assert::IsTrue(Math::Similar(expected, result));
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}
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return;
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}
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};
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return;
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}
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// Tests that the result is a, if the counter is 0 or a whole, even integer
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TEST_CASE("Returns_a_For_Counter_0", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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const int even = Random::RandomIntRange(-1000, 1000) & ~1;
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// Exercise
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const double result = Math::Oscillate(a, b, even, 1);
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// Verify
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const double expected = a;
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INFO(
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"a: " << a << '\n'
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<< "b: " << b << '\n'
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<< "expected: " << expected << '\n'
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<< "result: " << result << '\n'
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);
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REQUIRE(Math::Similar(expected, result));
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}
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}
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// Tests that the result is b, if the counter is a whole, uneven integer
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TEST_CASE("Returns_b_For_Uneven_Whole_Counter", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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const int uneven = Random::RandomIntRange(-1000, 1000) | 1;
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// Exercise
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const double result = Math::Oscillate(a, b, uneven, 1);
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// Verify
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const double expected = b;
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REQUIRE(Math::Similar(expected, result));
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}
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}
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// Tests that the result is (a+b)/2, when counter satisfies (int)x + 0.5
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TEST_CASE("Returns_ab_mean_for_intx_plus_0p5", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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const int anInt = Random::RandomIntRange(-1000, 1000);
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// Exercise
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const double result = Math::Oscillate(a, b, anInt + 0.5, 1);
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// Verify
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const double expected = (a+b) / 2.0;
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INFO(
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"a: " << a << '\n'
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<< "b: " << b << '\n'
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<< "expected: " << expected << '\n'
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<< "result: " << result << '\n'
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<< '\n'
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);
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REQUIRE(Math::Similar(expected, result));
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}
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}
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// Tests that the result is (3a+b)/4, when counter satisfies 2(int)x + 0.25
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TEST_CASE("Returns_3ab_mean_for_intx_plus_0p25_counterbase_even", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int even = Random::RandomIntRange(-1000, 1000) & ~1;
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// Exercise
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const double result = Math::Oscillate(a, b, even + 0.25, 1);
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// Verify
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const double expected = (3*a + b) / 4.0;
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INFO(
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"a: " << a << '\n'
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<< "b: " << b << '\n'
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<< "expected: " << expected << '\n'
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<< "result: " << result << '\n'
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);
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// Oscillate is not linear, we just want a really rough approximation
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REQUIRE(Math::Similar(expected, result, 0.4));
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}
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}
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// Tests that the result is (a+3b)/4, when counter satisfies 2(int)x + 0.75
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TEST_CASE("Returns_a3b_mean_for_intx_plus_0p75_counterbase_even", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int even = Random::RandomIntRange(-1000, 1000) & ~1;
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// Exercise
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const double result = Math::Oscillate(a, b, even + 0.75, 1);
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// Verify
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const double expected = (a + 3*b) / 4.0;
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// Oscillate is not linear, we just want a really rough approximation
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REQUIRE(Math::Similar(expected, result, 0.4)); // Oscillate is not linear
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}
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}
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// Tests that the result is (a+3b)/4, when counter satisfies 2(int)x+1 + 0.25
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TEST_CASE("Returns_3ab_mean_for_intx_plus_0p25_counterbase_uneven", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int uneven = Random::RandomIntRange(-1000, 1000) | 1;
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// Exercise
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const double result = Math::Oscillate(a, b, uneven + 0.25, 1);
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// Verify
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const double expected = (a + 3*b) / 4.0;
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// Oscillate is not linear, we just want a really rough approximation
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REQUIRE(Math::Similar(expected, result, 0.4));
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}
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}
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// Tests that the result is (3a+b)/4, when counter satisfies 2(int)x+1 + 0.75
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TEST_CASE("Returns_a3b_mean_for_intx_plus_0p75_counterbase_uneven", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1, 1);
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const double b = Random::RandomRange(-1, 1);
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const int uneven = Random::RandomIntRange(-1000, 1000) | 1;
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// Exercise
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const double result = Math::Oscillate(a, b, uneven + 0.75, 1);
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// Verify
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const double expected = (3*a + b) / 4.0;
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// Oscillate is not linear, we just want a really rough approximation
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REQUIRE(Math::Similar(expected, result, 0.4)); // Oscillate is not linear
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}
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}
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// Tests that doubling the speed will double the frequency
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TEST_CASE("Doubling_Speed_Doubles_Frequency", "[Math][Oscillate]")
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{
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// Test 1000 random floats
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for (std::size_t i = 0; i < 1000; i++)
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{
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// Setup
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const double a = Random::RandomRange(-1000, 1000);
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const double b = Random::RandomRange(-1000, 1000);
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// Exercise
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const double result = Math::Oscillate(a, b, 0.5, 2);
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// Verify
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const double expected = b;
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REQUIRE(Math::Similar(expected, result));
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}
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return;
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}
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