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// Copyright (C) 2008-2011 Colin MacDonald
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// No rights reserved: this software is in the public domain.
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static bool compareVectors(const core::vector2d<T> & compare,
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const core::vector2d<T> & with)
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if (!compare.equals(with))
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logTestString("\nERROR: vector2d %.16f, %.16f != vector2d %.16f, %.16f\n",
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(f64)compare.X, (f64)compare.Y, (f64)with.X, (f64)with.Y);
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assert(compare == with);
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#define COMPARE_VECTORS(compare, with)\
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if(!compareVectors(compare, with)) return false;
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vector2d<T> vec(5, 5);
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vector2d<T> otherVec(10, 20);
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if(!equals(vec.getDistanceFrom(otherVec), (T)15.8113883))
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logTestString("vector2d::getDistanceFrom() failed\n");
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vec.rotateBy(45); // Test implicit (0, 0) center
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COMPARE_VECTORS(vec, vector2d<T>(0, (T)7.0710678118654755));
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COMPARE_VECTORS(vec, vector2d<T>(0, (T)1.0000000461060017));
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vector2d<T> center(5, 5);
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vec.rotateBy(-5, center);
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// -5 means rotate clockwise slightly, so expect the X to increase
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// slightly and the Y to decrease slightly.
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COMPARE_VECTORS(vec, vector2d<T>((T)10.416752204197017, (T)9.5451947767204359));
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COMPARE_VECTORS(vec, vector2d<T>((T)0.7071068137884140, (T)0.7071068137884140));
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logTestString("vector2d interpolation\n");
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vector2d<T> interpolated;
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(void)interpolated.interpolate(vec, otherVec, 0.f);
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COMPARE_VECTORS(interpolated, otherVec); // 0.f means all the second vector
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(void)interpolated.interpolate(vec, otherVec, 0.25f);
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COMPARE_VECTORS(interpolated, vector2d<T>((T)8.75, (T)16.25));
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(void)interpolated.interpolate(vec, otherVec, 0.75f);
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COMPARE_VECTORS(interpolated, vector2d<T>((T)6.25, (T)8.75));
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(void)interpolated.interpolate(vec, otherVec, 1.f);
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COMPARE_VECTORS(interpolated, vec); // 1.f means all the first vector
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interpolated = vec.getInterpolated(otherVec, 0.f);
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COMPARE_VECTORS(interpolated, otherVec); // 0.f means all the second vector
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interpolated = vec.getInterpolated(otherVec, 0.25f);
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COMPARE_VECTORS(interpolated, vector2d<T>((T)8.75, (T)16.25));
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interpolated = vec.getInterpolated(otherVec, 0.75f);
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COMPARE_VECTORS(interpolated, vector2d<T>((T)6.25, (T)8.75));
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interpolated = vec.getInterpolated(otherVec, 1.f);
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COMPARE_VECTORS(interpolated, vec); // 1.f means all the first vector
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logTestString("vector2d quadratic interpolation\n");
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vector2d<T> thirdVec(20, 10);
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interpolated = vec.getInterpolated_quadratic(otherVec, thirdVec, 0.f);
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COMPARE_VECTORS(interpolated, vec); // 0.f means all the 1st vector
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interpolated = vec.getInterpolated_quadratic(otherVec, thirdVec, 0.25f);
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COMPARE_VECTORS(interpolated, vector2d<T>((T)7.8125, (T)10.9375));
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interpolated = vec.getInterpolated_quadratic(otherVec, thirdVec, 0.5f);
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COMPARE_VECTORS(interpolated, vector2d<T>((T)11.25, (T)13.75));
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interpolated = vec.getInterpolated_quadratic(otherVec, thirdVec, 0.75f);
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COMPARE_VECTORS(interpolated, vector2d<T>((T)15.3125, (T)13.4375));
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interpolated = vec.getInterpolated_quadratic(otherVec, thirdVec, 1.f);
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COMPARE_VECTORS(interpolated, thirdVec); // 1.f means all the 3rd vector
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// check if getAngle returns values matching those of the double precision version
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logTestString("vector2d getAngle\n");
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for (s32 i=0; i<200; ++i)
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core::vector2d<T> tmp((T)-1, (T)(-100+i));
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core::vector2d<f64> ref(-1, -100+i);
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if (!equals(tmp.getAngle(),ref.getAngle(), 0.0003))
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logTestString("\nERROR: angle %.16f != angle %.16f\n",
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tmp.getAngle(), ref.getAngle());
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f32 val = atan2f((float)tmp.Y, (float)tmp.X)*core::RADTODEG;
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if (!equals((f32)tmp.getAngle(),val, 0.5f))
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logTestString("\nERROR: angle %.16f != atan2 %.16f\n vector %.16f, %.16f\n",
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tmp.getAngle(), val, tmp.X, tmp.Y);
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tmp = core::vector2d<T>((T)1, (T)(-100+i));
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ref = core::vector2d<f64>(1, -100+i);
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if (!equals(tmp.getAngle(),ref.getAngle(), 0.0003))
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logTestString("\nERROR: angle %.16f != angle %.16f\n",
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tmp.getAngle(), ref.getAngle());
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val = atan2f((f32)tmp.Y, (f32)tmp.X)*core::RADTODEG;
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if (!equals((f32)tmp.getAngle(),val, 0.5f))
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logTestString("\nERROR: angle %.16f != atan2 %.16f\n vector %.16f, %.16f\n",
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tmp.getAngle(), val, tmp.X, tmp.Y);
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core::vector2d<T> tmp(0, -100);
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core::vector2d<f64> ref(0, -100);
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if (!equals(tmp.getAngle(),ref.getAngle()))
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logTestString("\nERROR: angle %.16f != angle %.16f\n",
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tmp.getAngle(), ref.getAngle());
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tmp = core::vector2d<T>(0, 100);
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ref = core::vector2d<f64>(0, 100);
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if (!equals(tmp.getAngle(),ref.getAngle()))
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logTestString("\nERROR: angle %.16f != angle %.16f\n",
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tmp.getAngle(), ref.getAngle());
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tmp = core::vector2d<T>(static_cast<T>(-1.53080559e-16), static_cast<T>(2.49999523));
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ref = core::vector2d<f64>(-1.53080559e-16, 2.49999523);
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if (!equals(tmp.getAngle(),ref.getAngle()))
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logTestString("\nERROR: angle %.16f != angle %.16f\n",
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tmp.getAngle(), ref.getAngle());
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core::vector2d<T> zeroZero(0, 0);
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core::vector2d<T> oneOne(1, 1);
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// Check if comparing (0.0, 0.0) with (1.0, 1.0) returns false.
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if(zeroZero == oneOne)
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logTestString("\nERROR: vector2d %.16f, %.16f == vector2d %.16f, %.16f\n",
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(f64)zeroZero.X, (f64)zeroZero.Y, (f64)oneOne.X, (f64)oneOne.Y);
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/** Test the functionality of vector2d<T>, particularly methods that
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involve calculations done using different precision than <T>.
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Note that all reference vector2d<T>s are creating using double precision
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values cast to (T), as we need to test <f64>. */
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bool testVector2d(void)
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bool f32Success = doTests<f32>();
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logTestString("vector2df tests passed\n\n");
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logTestString("\n*** vector2df tests failed ***\n\n");
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bool f64Success = doTests<f64>();
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logTestString("vector2d<f64> tests passed\n\n");
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logTestString("\n*** vector2d<f64> tests failed ***\n\n");
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bool s32Success = doTests<s32>();
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logTestString("vector2di tests passed\n\n");
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logTestString("\n*** vector2di tests failed ***\n\n");
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return f32Success && f64Success && s32Success;