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25 changes: 20 additions & 5 deletions lib/web_ui/lib/src/ui/lerp.dart
Original file line number Diff line number Diff line change
Expand Up @@ -5,19 +5,34 @@
// @dart = 2.10
part of ui;

/// Linearly interpolate between two numbers, `a` and `b`, by an extrapolation
/// factor `t`.
///
/// When `a` and `b` are equal or both NaN, `a` is returned. Otherwise, if
/// `a`, `b`, and `t` are required to be finite or null, and the result of `a +
/// (b - a) * t` is returned, where nulls are defaulted to 0.0.
double? lerpDouble(num? a, num? b, double t) {
if (a == null && b == null) {
return null;
if (a == b || (a?.isNaN == true) && (b?.isNaN == true)) {
return a?.toDouble();
}
a ??= 0.0;
b ??= 0.0;
return (a + (b - a) * t).toDouble();
assert(a.isFinite, 'Cannot interpolate between finite and non-finite values');
assert(b.isFinite, 'Cannot interpolate between finite and non-finite values');
assert(t.isFinite, 't must be finite when interpolating between values');
return a * (1.0 - t) + b * t;
}

/// Linearly interpolate between two doubles.
///
/// Same as [lerpDouble] but specialized for non-null `double` type.
double _lerpDouble(double a, double b, double t) {
return a + (b - a) * t;
return a * (1.0 - t) + b * t;
}

/// Linearly interpolate between two integers.
///
/// Same as [lerpDouble] but specialized for non-null `int` type.
double _lerpInt(int a, int b, double t) {
return a + (b - a) * t;
return a * (1.0 - t) + b * t;
}
162 changes: 162 additions & 0 deletions lib/web_ui/test/lerp_test.dart
Original file line number Diff line number Diff line change
@@ -0,0 +1,162 @@
// Copyright 2013 The Flutter Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.

// @dart = 2.10
import 'package:test/bootstrap/browser.dart';
import 'package:test/test.dart';

import 'package:ui/ui.dart';

/// The epsilon of tolerable double precision error.
///
/// This is used in various places in the framework to allow for floating point
/// precision loss in calculations. Differences below this threshold are safe
/// to disregard.
const double precisionErrorTolerance = 1e-10;

void main() {
internalBootstrapBrowserTest(() => testMain);
}

// These tests should be kept in sync with the VM tests in
// testing/dart/lerp_test.dart.
void testMain() {
test('lerpDouble should return null if and only if both inputs are null', () {
expect(lerpDouble(null, null, 1.0), isNull);
expect(lerpDouble(5.0, null, 0.25), isNotNull);
expect(lerpDouble(null, 5.0, 0.25), isNotNull);

expect(lerpDouble(5, null, 0.25), isNotNull);
expect(lerpDouble(null, 5, 0.25), isNotNull);
});

test('lerpDouble should treat a null input as 0 if the other input is non-null', () {
expect(lerpDouble(null, 10.0, 0.25), closeTo(2.5, precisionErrorTolerance));
expect(lerpDouble(10.0, null, 0.25), closeTo(7.5, precisionErrorTolerance));

expect(lerpDouble(null, 10, 0.25), closeTo(2.5, precisionErrorTolerance));
expect(lerpDouble(10, null, 0.25), closeTo(7.5, precisionErrorTolerance));
});

test('lerpDouble should handle interpolation values < 0.0', () {
expect(lerpDouble(0.0, 10.0, -5.0), closeTo(-50.0, precisionErrorTolerance));
expect(lerpDouble(10.0, 0.0, -5.0), closeTo(60.0, precisionErrorTolerance));

expect(lerpDouble(0, 10, -5), closeTo(-50, precisionErrorTolerance));
expect(lerpDouble(10, 0, -5), closeTo(60, precisionErrorTolerance));
});

test('lerpDouble should return the start value at 0.0', () {
expect(lerpDouble(2.0, 10.0, 0.0), 2.0);
expect(lerpDouble(10.0, 2.0, 0.0), 10.0);

expect(lerpDouble(2, 10, 0), 2);
expect(lerpDouble(10, 2, 0), 10);
});

test('lerpDouble should interpolate between two values', () {
expect(lerpDouble(0.0, 10.0, 0.25), closeTo(2.5, precisionErrorTolerance));
expect(lerpDouble(10.0, 0.0, 0.25), closeTo(7.5, precisionErrorTolerance));

expect(lerpDouble(0, 10, 0.25), closeTo(2.5, precisionErrorTolerance));
expect(lerpDouble(10, 0, 0.25), closeTo(7.5, precisionErrorTolerance));

// Exact answer: 20.0 - 1.0e-29
expect(lerpDouble(10.0, 1.0e30, 1.0e-29), closeTo(20.0, precisionErrorTolerance));

// Exact answer: 5.0 + 5.0e29
expect(lerpDouble(10.0, 1.0e30, 0.5), closeTo(5.0e29, precisionErrorTolerance));
});

test('lerpDouble should return the end value at 1.0', () {
expect(lerpDouble(2.0, 10.0, 1.0), 10.0);
expect(lerpDouble(10.0, 2.0, 1.0), 2.0);

expect(lerpDouble(0, 10, 5), 50);
expect(lerpDouble(10, 0, 5), -40);

expect(lerpDouble(1.0e30, 10.0, 1.0), 10.0);
expect(lerpDouble(10.0, 1.0e30, 0.0), 10.0);
});

test('lerpDouble should handle interpolation values > 1.0', () {
expect(lerpDouble(0.0, 10.0, 5.0), closeTo(50.0, precisionErrorTolerance));
expect(lerpDouble(10.0, 0.0, 5.0), closeTo(-40.0, precisionErrorTolerance));

expect(lerpDouble(0, 10, 5), closeTo(50, precisionErrorTolerance));
expect(lerpDouble(10, 0, 5), closeTo(-40, precisionErrorTolerance));
});

test('lerpDouble should return input value in all cases if begin/end are equal', () {
expect(lerpDouble(10.0, 10.0, 5.0), 10.0);
expect(lerpDouble(10.0, 10.0, double.nan), 10.0);
expect(lerpDouble(10.0, 10.0, double.infinity), 10.0);
expect(lerpDouble(10.0, 10.0, -double.infinity), 10.0);

expect(lerpDouble(10, 10, 5.0), 10.0);
expect(lerpDouble(10, 10, double.nan), 10.0);
expect(lerpDouble(10, 10, double.infinity), 10.0);
expect(lerpDouble(10, 10, -double.infinity), 10.0);

expect(lerpDouble(double.nan, double.nan, 5.0), isNaN);
expect(lerpDouble(double.nan, double.nan, double.nan), isNaN);
expect(lerpDouble(double.nan, double.nan, double.infinity), isNaN);
expect(lerpDouble(double.nan, double.nan, -double.infinity), isNaN);

expect(lerpDouble(double.infinity, double.infinity, 5.0), double.infinity);
expect(lerpDouble(double.infinity, double.infinity, double.nan), double.infinity);
expect(lerpDouble(double.infinity, double.infinity, double.infinity), double.infinity);
expect(lerpDouble(double.infinity, double.infinity, -double.infinity), double.infinity);

expect(lerpDouble(-double.infinity, -double.infinity, 5.0), -double.infinity);
expect(lerpDouble(-double.infinity, -double.infinity, double.nan), -double.infinity);
expect(lerpDouble(-double.infinity, -double.infinity, double.infinity), -double.infinity);
expect(lerpDouble(-double.infinity, -double.infinity, -double.infinity), -double.infinity);
});

test('lerpDouble should throw AssertionError if interpolation value is NaN and a != b', () {
expectAssertion(() => lerpDouble(0.0, 10.0, double.nan));
});

test('lerpDouble should throw AssertionError if interpolation value is +/- infinity and a != b', () {
expectAssertion(() => lerpDouble(0.0, 10.0, double.infinity));
expectAssertion(() => lerpDouble(0.0, 10.0, -double.infinity));
});

test('lerpDouble should throw AssertionError if either start or end are NaN', () {
expectAssertion(() => lerpDouble(double.nan, 10.0, 5.0));
expectAssertion(() => lerpDouble(0.0, double.nan, 5.0));
});

test('lerpDouble should throw AssertionError if either start or end are +/- infinity', () {
expectAssertion(() => lerpDouble(double.infinity, 10.0, 5.0));
expectAssertion(() => lerpDouble(-double.infinity, 10.0, 5.0));
expectAssertion(() => lerpDouble(0.0, double.infinity, 5.0));
expectAssertion(() => lerpDouble(0.0, -double.infinity, 5.0));
});
}

/// Asserts that `callback` throws an [AssertionError].
///
/// Verifies that the specified callback throws an [AssertionError] when
/// running in with assertions enabled. When asserts are not enabled, such as
/// when running using a release-mode VM with default settings, this acts as a
/// no-op.
void expectAssertion(Function callback) {
bool assertsEnabled = false;
assert(() {
assertsEnabled = true;
return true;
}());
if (assertsEnabled) {
bool threw = false;
try {
callback();
} catch (e) {
expect(e is AssertionError, true);
threw = true;
}
expect(threw, true);
}
}
2 changes: 2 additions & 0 deletions testing/dart/lerp_test.dart
Original file line number Diff line number Diff line change
Expand Up @@ -9,6 +9,8 @@ import 'package:test/test.dart';

import 'test_util.dart';

// These tests should be kept in sync with the web tests in
// lib/web_ui/test/lerp_test.dart.
void main() {
test('lerpDouble should return null if and only if both inputs are null', () {
expect(lerpDouble(null, null, 1.0), isNull);
Expand Down