mirror of
https://github.com/flutter/flutter.git
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parent
f3561d8035
commit
d9061bc96e
@ -5,16 +5,12 @@
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/// Simple Physics Simulations for Dart. Springs, friction, gravity, etc.
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library newton;
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import 'dart:math' as math;
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part 'src/simulation.dart';
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part 'src/simulation_group.dart';
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part 'src/tolerance.dart';
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part 'src/utils.dart';
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part 'src/clamped_simulation.dart';
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part 'src/friction_simulation.dart';
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part 'src/gravity_simulation.dart';
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part 'src/scroll_simulation.dart';
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part 'src/spring_simulation.dart';
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part 'src/spring_solution.dart';
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export 'src/clamped_simulation.dart';
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export 'src/friction_simulation.dart';
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export 'src/gravity_simulation.dart';
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export 'src/scroll_simulation.dart';
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export 'src/simulation_group.dart';
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export 'src/simulation.dart';
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export 'src/spring_simulation.dart';
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export 'src/tolerance.dart';
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export 'src/utils.dart';
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@ -2,7 +2,7 @@
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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import 'simulation.dart';
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class ClampedSimulation extends Simulation {
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ClampedSimulation(this.simulation, {
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@ -1,8 +1,11 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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import 'dart:math' as math;
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import 'simulation.dart';
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import 'tolerance.dart';
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class FrictionSimulation extends Simulation {
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final double _drag;
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@ -1,8 +1,8 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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import 'simulation.dart';
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class GravitySimulation extends Simulation {
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final double _x;
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@ -1,8 +1,11 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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import 'friction_simulation.dart';
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import 'simulation_group.dart';
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import 'simulation.dart';
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import 'spring_simulation.dart';
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/// Simulates kinetic scrolling behavior between a leading and trailing
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/// boundary. Friction is applied within the extends and a spring action applied
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@ -1,8 +1,8 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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import 'tolerance.dart';
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abstract class Simulatable {
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/// The current position of the object in the simulation
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@ -1,8 +1,10 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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import 'simulation.dart';
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import 'tolerance.dart';
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import 'utils.dart';
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/// The abstract base class for all composite simulations. Concrete subclasses
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/// must implement the appropriate methods to select the appropriate simulation
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@ -46,7 +48,7 @@ abstract class SimulationGroup extends Simulation {
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double _lastStep = -1.0;
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void _stepIfNecessary(double time) {
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if (_nearEqual(_lastStep, time, toleranceDefault.time)) {
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if (nearEqual(_lastStep, time, toleranceDefault.time)) {
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return;
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}
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@ -1,8 +1,124 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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import 'dart:math' as math;
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import 'simulation.dart';
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import 'utils.dart';
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abstract class _SpringSolution implements Simulatable {
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factory _SpringSolution(
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SpringDescription desc, double initialPosition, double initialVelocity) {
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double cmk =
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desc.damping * desc.damping - 4 * desc.mass * desc.springConstant;
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if (cmk == 0.0) {
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return new _CriticalSolution(desc, initialPosition, initialVelocity);
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} else if (cmk > 0.0) {
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return new _OverdampedSolution(desc, initialPosition, initialVelocity);
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} else {
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return new _UnderdampedSolution(desc, initialPosition, initialVelocity);
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}
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return null;
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}
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SpringType get type;
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}
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class _CriticalSolution implements _SpringSolution {
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final double _r, _c1, _c2;
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factory _CriticalSolution(
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SpringDescription desc, double distance, double velocity) {
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final double r = -desc.damping / (2.0 * desc.mass);
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final double c1 = distance;
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final double c2 = velocity / (r * distance);
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return new _CriticalSolution.withArgs(r, c1, c2);
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}
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SpringType get type => SpringType.criticallyDamped;
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_CriticalSolution.withArgs(double r, double c1, double c2)
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: _r = r,
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_c1 = c1,
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_c2 = c2;
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double x(double time) => (_c1 + _c2 * time) * math.pow(math.E, _r * time);
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double dx(double time) {
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final double power = math.pow(math.E, _r * time);
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return _r * (_c1 + _c2 * time) * power + _c2 * power;
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}
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}
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class _OverdampedSolution implements _SpringSolution {
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final double _r1, _r2, _c1, _c2;
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factory _OverdampedSolution(
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SpringDescription desc, double distance, double velocity) {
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final double cmk =
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desc.damping * desc.damping - 4 * desc.mass * desc.springConstant;
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final double r1 = (-desc.damping - math.sqrt(cmk)) / (2.0 * desc.mass);
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final double r2 = (-desc.damping + math.sqrt(cmk)) / (2.0 * desc.mass);
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final double c2 = (velocity - r1 * distance) / (r2 - r1);
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final double c1 = distance - c2;
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return new _OverdampedSolution.withArgs(r1, r2, c1, c2);
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}
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_OverdampedSolution.withArgs(double r1, double r2, double c1, double c2)
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: _r1 = r1,
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_r2 = r2,
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_c1 = c1,
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_c2 = c2;
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SpringType get type => SpringType.overDamped;
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double x(double time) =>
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(_c1 * math.pow(math.E, _r1 * time) + _c2 * math.pow(math.E, _r2 * time));
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double dx(double time) => (_c1 * _r1 * math.pow(math.E, _r1 * time) +
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_c2 * _r2 * math.pow(math.E, _r2 * time));
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}
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class _UnderdampedSolution implements _SpringSolution {
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final double _w, _r, _c1, _c2;
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factory _UnderdampedSolution(
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SpringDescription desc, double distance, double velocity) {
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final double w = math.sqrt(4.0 * desc.mass * desc.springConstant -
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desc.damping * desc.damping) /
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(2.0 * desc.mass);
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final double r = -(desc.damping / 2.0 * desc.mass);
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final double c1 = distance;
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final double c2 = (velocity - r * distance) / w;
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return new _UnderdampedSolution.withArgs(w, r, c1, c2);
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}
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_UnderdampedSolution.withArgs(double w, double r, double c1, double c2)
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: _w = w,
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_r = r,
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_c1 = c1,
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_c2 = c2;
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SpringType get type => SpringType.underDamped;
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double x(double time) => math.pow(math.E, _r * time) *
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(_c1 * math.cos(_w * time) + _c2 * math.sin(_w * time));
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double dx(double time) {
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final double power = math.pow(math.E, _r * time);
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final double cosine = math.cos(_w * time);
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final double sine = math.sin(_w * time);
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return power * (_c2 * _w * cosine - _c1 * _w * sine) +
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_r * power * (_c2 * sine + _c1 * cosine);
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}
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}
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class SpringDescription {
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/// The mass of the spring (m)
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@ -58,8 +174,8 @@ class SpringSimulation extends Simulation {
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double dx(double time) => _solution.dx(time);
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bool isDone(double time) {
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return _nearZero(_solution.x(time), tolerance.distance) &&
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_nearZero(_solution.dx(time), tolerance.velocity);
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return nearZero(_solution.x(time), tolerance.distance) &&
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nearZero(_solution.dx(time), tolerance.velocity);
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}
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}
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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abstract class _SpringSolution implements Simulatable {
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factory _SpringSolution(
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SpringDescription desc, double initialPosition, double initialVelocity) {
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double cmk =
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desc.damping * desc.damping - 4 * desc.mass * desc.springConstant;
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if (cmk == 0.0) {
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return new _CriticalSolution(desc, initialPosition, initialVelocity);
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} else if (cmk > 0.0) {
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return new _OverdampedSolution(desc, initialPosition, initialVelocity);
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} else {
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return new _UnderdampedSolution(desc, initialPosition, initialVelocity);
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}
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return null;
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}
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SpringType get type;
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}
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class _CriticalSolution implements _SpringSolution {
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final double _r, _c1, _c2;
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factory _CriticalSolution(
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SpringDescription desc, double distance, double velocity) {
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final double r = -desc.damping / (2.0 * desc.mass);
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final double c1 = distance;
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final double c2 = velocity / (r * distance);
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return new _CriticalSolution.withArgs(r, c1, c2);
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}
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SpringType get type => SpringType.criticallyDamped;
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_CriticalSolution.withArgs(double r, double c1, double c2)
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: _r = r,
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_c1 = c1,
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_c2 = c2;
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double x(double time) => (_c1 + _c2 * time) * math.pow(math.E, _r * time);
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double dx(double time) {
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final double power = math.pow(math.E, _r * time);
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return _r * (_c1 + _c2 * time) * power + _c2 * power;
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}
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}
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class _OverdampedSolution implements _SpringSolution {
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final double _r1, _r2, _c1, _c2;
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factory _OverdampedSolution(
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SpringDescription desc, double distance, double velocity) {
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final double cmk =
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desc.damping * desc.damping - 4 * desc.mass * desc.springConstant;
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final double r1 = (-desc.damping - math.sqrt(cmk)) / (2.0 * desc.mass);
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final double r2 = (-desc.damping + math.sqrt(cmk)) / (2.0 * desc.mass);
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final double c2 = (velocity - r1 * distance) / (r2 - r1);
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final double c1 = distance - c2;
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return new _OverdampedSolution.withArgs(r1, r2, c1, c2);
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}
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_OverdampedSolution.withArgs(double r1, double r2, double c1, double c2)
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: _r1 = r1,
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_r2 = r2,
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_c1 = c1,
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_c2 = c2;
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SpringType get type => SpringType.overDamped;
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double x(double time) =>
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(_c1 * math.pow(math.E, _r1 * time) + _c2 * math.pow(math.E, _r2 * time));
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double dx(double time) => (_c1 * _r1 * math.pow(math.E, _r1 * time) +
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_c2 * _r2 * math.pow(math.E, _r2 * time));
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}
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class _UnderdampedSolution implements _SpringSolution {
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final double _w, _r, _c1, _c2;
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factory _UnderdampedSolution(
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SpringDescription desc, double distance, double velocity) {
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final double w = math.sqrt(4.0 * desc.mass * desc.springConstant -
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desc.damping * desc.damping) /
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(2.0 * desc.mass);
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final double r = -(desc.damping / 2.0 * desc.mass);
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final double c1 = distance;
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final double c2 = (velocity - r * distance) / w;
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return new _UnderdampedSolution.withArgs(w, r, c1, c2);
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}
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_UnderdampedSolution.withArgs(double w, double r, double c1, double c2)
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: _w = w,
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_r = r,
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_c1 = c1,
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_c2 = c2;
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SpringType get type => SpringType.underDamped;
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double x(double time) => math.pow(math.E, _r * time) *
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(_c1 * math.cos(_w * time) + _c2 * math.sin(_w * time));
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double dx(double time) {
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final double power = math.pow(math.E, _r * time);
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final double cosine = math.cos(_w * time);
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final double sine = math.sin(_w * time);
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return power * (_c2 * _w * cosine - _c1 * _w * sine) +
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_r * power * (_c2 * sine + _c1 * cosine);
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}
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}
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@ -1,9 +1,7 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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class Tolerance {
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final double distance;
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final double time;
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@ -1,10 +1,8 @@
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// Copyright (c) 2015 The Chromium Authors. All rights reserved.
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// Copyright 2016 The Chromium Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style license that can be
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// found in the LICENSE file.
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part of newton;
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bool _nearEqual(double a, double b, double epsilon) =>
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bool nearEqual(double a, double b, double epsilon) =>
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(a > (b - epsilon)) && (a < (b + epsilon));
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bool _nearZero(double a, double epsilon) => _nearEqual(a, 0.0, epsilon);
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bool nearZero(double a, double epsilon) => nearEqual(a, 0.0, epsilon);
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|
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Reference in New Issue
Block a user