// Copyright (c) 2015 The Chromium Authors. All rights reserved. // Use of this source code is governed by a BSD-style license that can be // found in the LICENSE file. library simple_physics.test; import 'package:test/test.dart'; import 'package:newton/newton.dart'; void main() { test('test_friction', () { var friction = new FrictionSimulation(0.3, 100.0, 400.0); friction.tolerance = const Tolerance(velocity: 1.0); expect(friction.isDone(0.0), false); expect(friction.x(0.0), 100); expect(friction.dx(0.0), 400.0); expect(friction.x(1.0) > 330 && friction.x(1.0) < 335, true); expect(friction.dx(1.0), 120.0); expect(friction.dx(2.0), 36.0); expect(friction.dx(3.0), 10.8); expect(friction.dx(4.0) < 3.5, true); expect(friction.isDone(5.0), true); expect(friction.x(5.0) > 431 && friction.x(5.0) < 432, true); }); test('test_friction_through', () { // Use a normal FrictionSimulation to generate start and end // velocity and positions with drag = 0.025. var startPosition = 10.0; var startVelocity = 600.0; var f = new FrictionSimulation(0.025, startPosition, startVelocity); var endPosition = f.x(1.0); var endVelocity = f.dx(1.0); expect(endPosition, greaterThan(startPosition)); expect(endVelocity, lessThan(startVelocity)); // Verify that that the "through" FrictionSimulation ends up at // endPosition and endVelocity; implies that it computed the right // value for _drag. var friction = new FrictionSimulation.through( startPosition, endPosition, startVelocity, endVelocity); expect(friction.isDone(0.0), false); expect(friction.x(0.0), 10.0); expect(friction.dx(0.0), 600.0); double epsilon = 1e-4; expect(friction.isDone(1.0 + epsilon), true); expect(friction.x(1.0), closeTo(endPosition, epsilon)); expect(friction.dx(1.0), closeTo(endVelocity, epsilon)); // Same scenario as above except that the velocities are // are negative. startPosition = 1000.0; startVelocity = -500.0; f = new FrictionSimulation(0.025, 1000.0, -500.0); endPosition = f.x(1.0); endVelocity = f.dx(1.0); expect(endPosition, lessThan(startPosition)); expect(endVelocity, greaterThan(startVelocity)); friction = new FrictionSimulation.through( startPosition, endPosition, startVelocity, endVelocity); expect(friction.isDone(1.0 + epsilon), true); expect(friction.x(1.0), closeTo(endPosition, epsilon)); expect(friction.dx(1.0), closeTo(endVelocity, epsilon)); }); test('test_gravity', () { var gravity = new GravitySimulation(200.0, 100.0, 600.0, 0.0); expect(gravity.isDone(0.0), false); expect(gravity.x(0.0), 100.0); expect(gravity.dx(0.0), 0.0); // Starts at 100 expect(gravity.x(0.25), 106.25); expect(gravity.x(0.50), 125); expect(gravity.x(0.75), 156.25); expect(gravity.x(1.00), 200); expect(gravity.x(1.25), 256.25); expect(gravity.x(1.50), 325); expect(gravity.x(1.75), 406.25); // Starts at 0.0 expect(gravity.dx(0.25), 50.0); expect(gravity.dx(0.50), 100); expect(gravity.dx(0.75), 150.00); expect(gravity.dx(1.00), 200.0); expect(gravity.dx(1.25), 250.0); expect(gravity.dx(1.50), 300); expect(gravity.dx(1.75), 350); expect(gravity.isDone(2.5), true); expect(gravity.x(2.5), 725); expect(gravity.dx(2.5), 500.0); }); test('spring_types', () { var crit = new SpringSimulation(new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 100.0), 0.0, 300.0, 0.0); expect(crit.type, SpringType.criticallyDamped); crit = new SpringSimulation(new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 100.0, ratio: 1.0), 0.0, 300.0, 0.0); expect(crit.type, SpringType.criticallyDamped); var under = new SpringSimulation(new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 100.0, ratio: 0.75), 0.0, 300.0, 0.0); expect(under.type, SpringType.underDamped); var over = new SpringSimulation(new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 100.0, ratio: 1.25), 0.0, 300.0, 0.0); expect(over.type, SpringType.overDamped); // Just so we don't forget how to create a desc without the ratio. var other = new SpringSimulation( new SpringDescription(mass: 1.0, springConstant: 100.0, damping: 20.0), 0.0, 20.0, 20.0); expect(other.type, SpringType.criticallyDamped); }); test('crit_spring', () { var crit = new SpringSimulation(new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 100.0, ratio: 1.0), 0.0, 500.0, 0.0); crit.tolerance = const Tolerance(distance: 0.01, velocity: 0.01); expect(crit.type, SpringType.criticallyDamped); expect(crit.isDone(0.0), false); expect(crit.x(0.0), 0.0); expect(crit.dx(0.0), 5000.0); expect(crit.x(0.25).floor(), 458.0); expect(crit.x(0.50).floor(), 496.0); expect(crit.x(0.75).floor(), 499.0); expect(crit.dx(0.25).floor(), 410); expect(crit.dx(0.50).floor(), 33); expect(crit.dx(0.75).floor(), 2); expect(crit.isDone(1.50), true); expect(crit.x(1.5) > 499.0 && crit.x(1.5) < 501.0, true); expect(crit.dx(1.5) < 0.1, true /* basically within tolerance */); }); test('overdamped_spring', () { var over = new SpringSimulation(new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 100.0, ratio: 1.25), 0.0, 500.0, 0.0); over.tolerance = const Tolerance(distance: 0.01, velocity: 0.01); expect(over.type, SpringType.overDamped); expect(over.isDone(0.0), false); expect(over.x(0.0), 0.0); expect(over.x(0.5).floor(), 445.0); expect(over.x(1.0).floor(), 495.0); expect(over.x(1.5).floor(), 499.0); expect(over.dx(0.5).floor(), 273.0); expect(over.dx(1.0).floor(), 22.0); expect(over.dx(1.5).floor(), 1.0); expect(over.isDone(3.0), true); }); test('underdamped_spring', () { var under = new SpringSimulation(new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 100.0, ratio: 0.25), 0.0, 300.0, 0.0); expect(under.type, SpringType.underDamped); expect(under.isDone(0.0), false); // Overshot with negative velocity expect(under.x(1.0).floor(), 325); expect(under.dx(1.0).floor(), -65); expect(under.dx(6.0).floor(), 0.0); expect(under.x(6.0).floor(), 299); expect(under.isDone(6.0), true); }); test('test_kinetic_scroll', () { var spring = new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 50.0, ratio: 0.5); var scroll = new ScrollSimulation(100.0, 800.0, 0.0, 300.0, spring, 0.3); scroll.tolerance = const Tolerance(velocity: 0.5, distance: 0.1); expect(scroll.isDone(0.0), false); expect(scroll.isDone(0.5), false); // switch from friction to spring expect(scroll.isDone(3.5), true); var scroll2 = new ScrollSimulation(100.0, -800.0, 0.0, 300.0, spring, 0.3); scroll2.tolerance = const Tolerance(velocity: 0.5, distance: 0.1); expect(scroll2.isDone(0.0), false); expect(scroll2.isDone(0.5), false); // switch from friction to spring expect(scroll2.isDone(3.5), true); }); test('scroll_with_inf_edge_ends', () { var spring = new SpringDescription.withDampingRatio( mass: 1.0, springConstant: 50.0, ratio: 0.5); var scroll = new ScrollSimulation(100.0, 400.0, 0.0, double.INFINITY, spring, 0.3); scroll.tolerance = const Tolerance(velocity: 1.0); expect(scroll.isDone(0.0), false); expect(scroll.x(0.0), 100); expect(scroll.dx(0.0), 400.0); expect(scroll.x(1.0) > 330 && scroll.x(1.0) < 335, true); expect(scroll.dx(1.0), 120.0); expect(scroll.dx(2.0), 36.0); expect(scroll.dx(3.0), 10.8); expect(scroll.dx(4.0) < 3.5, true); expect(scroll.isDone(5.0), true); expect(scroll.x(5.0) > 431 && scroll.x(5.0) < 432, true); // We should never switch expect(scroll.currentIntervalOffset, 0.0); }); test('over/under scroll spring', () { var spring = new SpringDescription.withDampingRatio(mass: 1.0, springConstant: 170.0, ratio: 1.1); var scroll = new ScrollSimulation(500.0, -7500.0, 0.0, 1000.0, spring, 0.025); scroll.tolerance = new Tolerance(velocity: 45.0, distance: 1.5); expect(scroll.isDone(0.0), false); expect(scroll.x(0.0), closeTo(500.0, .0001)); expect(scroll.dx(0.0), closeTo(-7500.0, .0001)); expect(scroll.isDone(0.025), false); expect(scroll.x(0.025), closeTo(320.0, 1.0)); expect(scroll.dx(0.25), closeTo(-2982, 1.0)); expect(scroll.isDone(2.0), true); expect(scroll.x(2.0), 0.0); expect(scroll.dx(2.0), closeTo(0.0, 45.0)); }); }