LibWeb: Separate use time easing functions from EasingStyleValue

In the future there will be different methods of creating these use-time
easing functions (e.g. from `KeywordStyleValue`s)
This commit is contained in:
Callum Law 2025-10-11 12:57:26 +13:00 committed by Sam Atkins
parent 0e30de82cc
commit 95e26819d9
13 changed files with 343 additions and 246 deletions

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@ -12,7 +12,6 @@
#include <LibWeb/Animations/DocumentTimeline.h>
#include <LibWeb/Animations/PseudoElementParsing.h>
#include <LibWeb/CSS/CSSTransition.h>
#include <LibWeb/CSS/StyleValues/EasingStyleValue.h>
#include <LibWeb/CSS/StyleValues/KeywordStyleValue.h>
#include <LibWeb/CSS/StyleValues/TimeStyleValue.h>
#include <LibWeb/DOM/Document.h>
@ -171,9 +170,8 @@ void Animatable::add_transitioned_properties(Optional<CSS::PseudoElement> pseudo
duration = resolved_time.value().to_milliseconds();
}
}
auto timing_function = timing_functions[i]->is_easing() ? timing_functions[i]->as_easing().function() : CSS::EasingStyleValue::CubicBezier::ease();
auto timing_function = CSS::EasingFunction::from_style_value(timing_functions[i]);
auto transition_behavior = CSS::keyword_to_transition_behavior(transition_behaviors[i]->to_keyword()).value_or(CSS::TransitionBehavior::Normal);
VERIFY(timing_functions[i]->is_easing());
transition.transition_attributes.empend(delay, duration, timing_function, transition_behavior);
for (auto const& property : properties[i])

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@ -39,7 +39,7 @@ public:
struct TransitionAttributes {
double delay;
double duration;
CSS::EasingStyleValue::Function timing_function;
CSS::EasingFunction timing_function;
CSS::TransitionBehavior transition_behavior;
};

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@ -80,7 +80,7 @@ EffectTiming AnimationEffect::get_timing() const
.iterations = m_iteration_count,
.duration = m_iteration_duration,
.direction = m_playback_direction,
.easing = m_timing_function.to_string(CSS::SerializationMode::Normal),
.easing = m_timing_function.to_string(),
};
}
@ -115,7 +115,7 @@ ComputedEffectTiming AnimationEffect::get_computed_timing() const
.iterations = m_iteration_count,
.duration = duration,
.direction = m_playback_direction,
.easing = m_timing_function.to_string(CSS::SerializationMode::Normal),
.easing = m_timing_function.to_string(),
},
end_time(),
@ -158,12 +158,11 @@ WebIDL::ExceptionOr<void> AnimationEffect::update_timing(OptionalEffectTiming ti
// 4. If the easing member of input exists but cannot be parsed using the <easing-function> production
// [CSS-EASING-1], throw a TypeError and abort this procedure.
RefPtr<CSS::StyleValue const> easing_value;
Optional<CSS::EasingFunction> easing_value;
if (timing.easing.has_value()) {
easing_value = parse_easing_string(timing.easing.value());
if (!easing_value)
if (!easing_value.has_value())
return WebIDL::SimpleException { WebIDL::SimpleExceptionType::TypeError, "Invalid easing function"sv };
VERIFY(easing_value->is_easing());
}
// 5. Assign each member that exists in input to the corresponding timing property of effect as follows:
@ -197,8 +196,8 @@ WebIDL::ExceptionOr<void> AnimationEffect::update_timing(OptionalEffectTiming ti
m_playback_direction = timing.direction.value();
// - easing → timing function
if (easing_value)
m_timing_function = easing_value->as_easing().function();
if (easing_value.has_value())
m_timing_function = easing_value.value();
if (auto animation = m_associated_animation)
animation->effect_timing_changed({});
@ -604,11 +603,11 @@ Optional<double> AnimationEffect::transformed_progress() const
return m_timing_function.evaluate_at(directed_progress.value(), before_flag);
}
RefPtr<CSS::StyleValue const> AnimationEffect::parse_easing_string(StringView value)
Optional<CSS::EasingFunction> AnimationEffect::parse_easing_string(StringView value)
{
if (auto style_value = parse_css_value(CSS::Parser::ParsingParams(), value, CSS::PropertyID::AnimationTimingFunction)) {
if (style_value->is_easing())
return style_value;
return CSS::EasingFunction::from_style_value(*style_value);
}
return {};

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@ -11,6 +11,7 @@
#include <AK/Variant.h>
#include <LibWeb/Bindings/AnimationEffectPrototype.h>
#include <LibWeb/Bindings/PlatformObject.h>
#include <LibWeb/CSS/EasingFunction.h>
#include <LibWeb/CSS/Enums.h>
#include <LibWeb/CSS/StyleValues/EasingStyleValue.h>
@ -79,7 +80,7 @@ class AnimationEffect : public Bindings::PlatformObject {
GC_DECLARE_ALLOCATOR(AnimationEffect);
public:
static RefPtr<CSS::StyleValue const> parse_easing_string(StringView value);
static Optional<CSS::EasingFunction> parse_easing_string(StringView value);
EffectTiming get_timing() const;
ComputedEffectTiming get_computed_timing() const;
@ -106,8 +107,8 @@ public:
Bindings::PlaybackDirection playback_direction() const { return m_playback_direction; }
void set_playback_direction(Bindings::PlaybackDirection playback_direction) { m_playback_direction = playback_direction; }
CSS::EasingStyleValue::Function const& timing_function() { return m_timing_function; }
void set_timing_function(CSS::EasingStyleValue::Function value) { m_timing_function = move(value); }
CSS::EasingFunction const& timing_function() { return m_timing_function; }
void set_timing_function(CSS::EasingFunction value) { m_timing_function = move(value); }
GC::Ptr<Animation> associated_animation() const { return m_associated_animation; }
void set_associated_animation(GC::Ptr<Animation> value);
@ -193,7 +194,7 @@ protected:
GC::Ptr<Animation> m_associated_animation {};
// https://www.w3.org/TR/web-animations-1/#time-transformations
CSS::EasingStyleValue::Function m_timing_function { CSS::EasingStyleValue::Linear::identity() };
CSS::EasingFunction m_timing_function { CSS::EasingFunction::from_style_value(CSS::EasingStyleValue::create(CSS::EasingStyleValue::Linear::identity())) };
// Used for calculating transitions in StyleComputer
Phase m_previous_phase { Phase::Idle };

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@ -560,10 +560,10 @@ static WebIDL::ExceptionOr<Vector<BaseKeyframe>> process_a_keyframes_argument(JS
auto easing_string = keyframe.easing.get<String>();
auto easing_value = AnimationEffect::parse_easing_string(easing_string);
if (!easing_value)
if (!easing_value.has_value())
return WebIDL::SimpleException { WebIDL::SimpleExceptionType::TypeError, MUST(String::formatted("Invalid animation easing value: \"{}\"", easing_string)) };
keyframe.easing.set(NonnullRefPtr<CSS::StyleValue const> { *easing_value });
keyframe.easing.set(easing_value.value());
}
// 9. Parse each of the values in unused easings using the CSS syntax defined for easing member of the EffectTiming
@ -571,7 +571,7 @@ static WebIDL::ExceptionOr<Vector<BaseKeyframe>> process_a_keyframes_argument(JS
for (auto& unused_easing : unused_easings) {
auto easing_string = unused_easing.get<String>();
auto easing_value = AnimationEffect::parse_easing_string(easing_string);
if (!easing_value)
if (!easing_value.has_value())
return WebIDL::SimpleException { WebIDL::SimpleExceptionType::TypeError, MUST(String::formatted("Invalid animation easing value: \"{}\"", easing_string)) };
}
@ -827,8 +827,8 @@ WebIDL::ExceptionOr<GC::RootVector<JS::Object*>> KeyframeEffect::get_keyframes()
auto object = JS::Object::create(realm, realm.intrinsics().object_prototype());
TRY(object->set(vm.names.offset, keyframe.offset.has_value() ? JS::Value(keyframe.offset.value()) : JS::js_null(), ShouldThrowExceptions::Yes));
TRY(object->set(vm.names.computedOffset, JS::Value(keyframe.computed_offset.value()), ShouldThrowExceptions::Yes));
auto easing_value = keyframe.easing.get<NonnullRefPtr<CSS::StyleValue const>>();
TRY(object->set(vm.names.easing, JS::PrimitiveString::create(vm, easing_value->to_string(CSS::SerializationMode::Normal)), ShouldThrowExceptions::Yes));
auto easing_value = keyframe.easing.get<CSS::EasingFunction>();
TRY(object->set(vm.names.easing, JS::PrimitiveString::create(vm, easing_value.to_string()), ShouldThrowExceptions::Yes));
if (keyframe.composite == Bindings::CompositeOperationOrAuto::Replace) {
TRY(object->set(vm.names.composite, JS::PrimitiveString::create(vm, "replace"sv), ShouldThrowExceptions::Yes));

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@ -17,7 +17,7 @@
namespace Web::Animations {
using EasingValue = Variant<String, NonnullRefPtr<CSS::StyleValue const>>;
using EasingValue = Variant<String, CSS::EasingFunction>;
// https://www.w3.org/TR/web-animations-1/#the-keyframeeffectoptions-dictionary
struct KeyframeEffectOptions : public EffectTiming {

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@ -158,6 +158,7 @@ set(SOURCES
CSS/CSSVariableReferenceValue.cpp
CSS/Descriptor.cpp
CSS/Display.cpp
CSS/EasingFunction.cpp
CSS/EdgeRect.cpp
CSS/Fetch.cpp
CSS/Flex.cpp

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@ -11,7 +11,6 @@
#include <LibWeb/CSS/Interpolation.h>
#include <LibWeb/CSS/PropertyID.h>
#include <LibWeb/CSS/PseudoElement.h>
#include <LibWeb/CSS/StyleValues/EasingStyleValue.h>
#include <LibWeb/CSS/StyleValues/StyleValue.h>
#include <LibWeb/CSS/Time.h>

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@ -0,0 +1,259 @@
/*
* Copyright (c) 2025, Callum Law <callumlaw1709@outlook.com>
*
* SPDX-License-Identifier: BSD-2-Clause
*/
#include "EasingFunction.h"
#include <AK/BinarySearch.h>
#include <LibWeb/CSS/StyleValues/EasingStyleValue.h>
namespace Web::CSS {
// https://drafts.csswg.org/css-easing/#linear-easing-function-output
double LinearEasingFunction::evaluate_at(double input_progress, bool before_flag) const
{
// To calculate linear easing output progress for a given linear easing function func,
// an input progress value inputProgress, and an optional before flag (defaulting to false),
// perform the following:
// 1. Let points be funcs control points.
// 2. If points holds only a single item, return the output progress value of that item.
if (control_points.size() == 1)
return control_points[0].output;
// 3. If inputProgress matches the input progress value of the first point in points,
// and the before flag is true, return the first points output progress value.
if (input_progress == control_points[0].input.value() && before_flag)
return control_points[0].output;
// 4. If inputProgress matches the input progress value of at least one point in points,
// return the output progress value of the last such point.
auto maybe_match = control_points.last_matching([&](auto& stop) { return input_progress == stop.input; });
if (maybe_match.has_value())
return maybe_match->output;
// 5. Otherwise, find two control points in points, A and B, which will be used for interpolation:
ControlPoint A;
ControlPoint B;
if (input_progress < control_points[0].input.value()) {
// 1. If inputProgress is smaller than any input progress value in points,
// let A and B be the first two items in points.
// If A and B have the same input progress value, return As output progress value.
A = control_points[0];
B = control_points[1];
if (A.input == B.input.value())
return A.output;
} else if (input_progress > control_points.last().input.value()) {
// 2. If inputProgress is larger than any input progress value in points,
// let A and B be the last two items in points.
// If A and B have the same input progress value, return Bs output progress value.
A = control_points[control_points.size() - 2];
B = control_points[control_points.size() - 1];
if (A.input == B.input.value())
return B.output;
} else {
// 3. Otherwise, let A be the last control point whose input progress value is smaller than inputProgress,
// and let B be the first control point whose input progress value is larger than inputProgress.
A = control_points.last_matching([&](ControlPoint const& stop) { return stop.input.value() < input_progress; }).value();
B = control_points.first_matching([&](ControlPoint const& stop) { return stop.input.value() > input_progress; }).value();
}
// 6. Linearly interpolate (or extrapolate) inputProgress along the line defined by A and B, and return the result.
auto factor = (input_progress - A.input.value()) / (B.input.value() - A.input.value());
return A.output + factor * (B.output - A.output);
}
// https://www.w3.org/TR/css-easing-1/#cubic-bezier-algo
double CubicBezierEasingFunction::evaluate_at(double input_progress, bool) const
{
constexpr static auto cubic_bezier_at = [](double x1, double x2, double t) {
auto a = 1.0 - 3.0 * x2 + 3.0 * x1;
auto b = 3.0 * x2 - 6.0 * x1;
auto c = 3.0 * x1;
auto t2 = t * t;
auto t3 = t2 * t;
return (a * t3) + (b * t2) + (c * t);
};
// For input progress values outside the range [0, 1], the curve is extended infinitely using tangent of the curve
// at the closest endpoint as follows:
// - For input progress values less than zero,
if (input_progress < 0.0) {
// 1. If the x value of P1 is greater than zero, use a straight line that passes through P1 and P0 as the
// tangent.
if (x1 > 0.0)
return y1 / x1 * input_progress;
// 2. Otherwise, if the x value of P2 is greater than zero, use a straight line that passes through P2 and P0 as
// the tangent.
if (x2 > 0.0)
return y2 / x2 * input_progress;
// 3. Otherwise, let the output progress value be zero for all input progress values in the range [-∞, 0).
return 0.0;
}
// - For input progress values greater than one,
if (input_progress > 1.0) {
// 1. If the x value of P2 is less than one, use a straight line that passes through P2 and P3 as the tangent.
if (x2 < 1.0)
return (1.0 - y2) / (1.0 - x2) * (input_progress - 1.0) + 1.0;
// 2. Otherwise, if the x value of P1 is less than one, use a straight line that passes through P1 and P3 as the
// tangent.
if (x1 < 1.0)
return (1.0 - y1) / (1.0 - x1) * (input_progress - 1.0) + 1.0;
// 3. Otherwise, let the output progress value be one for all input progress values in the range (1, ∞].
return 1.0;
}
// Note: The spec does not specify the precise algorithm for calculating values in the range [0, 1]:
// "The evaluation of this curve is covered in many sources such as [FUND-COMP-GRAPHICS]."
auto x = input_progress;
auto solve = [&](auto t) {
auto x = cubic_bezier_at(x1, x2, t);
auto y = cubic_bezier_at(y1, y2, t);
return CachedSample { x, y, t };
};
if (m_cached_x_samples.is_empty())
m_cached_x_samples.append(solve(0.));
size_t nearby_index = 0;
if (auto found = binary_search(m_cached_x_samples, x, &nearby_index, [](auto x, auto& sample) {
if (x - sample.x >= NumericLimits<double>::epsilon())
return 1;
if (x - sample.x <= NumericLimits<double>::epsilon())
return -1;
return 0;
}))
return found->y;
if (nearby_index == m_cached_x_samples.size() || nearby_index + 1 == m_cached_x_samples.size()) {
// Produce more samples until we have enough.
auto last_t = m_cached_x_samples.last().t;
auto last_x = m_cached_x_samples.last().x;
while (last_x <= x && last_t < 1.0) {
last_t += 1. / 60.;
auto solution = solve(last_t);
m_cached_x_samples.append(solution);
last_x = solution.x;
}
if (auto found = binary_search(m_cached_x_samples, x, &nearby_index, [](auto x, auto& sample) {
if (x - sample.x >= NumericLimits<double>::epsilon())
return 1;
if (x - sample.x <= NumericLimits<double>::epsilon())
return -1;
return 0;
}))
return found->y;
}
// We have two samples on either side of the x value we want, so we can linearly interpolate between them.
auto& sample1 = m_cached_x_samples[nearby_index];
auto& sample2 = m_cached_x_samples[nearby_index + 1];
auto factor = (x - sample1.x) / (sample2.x - sample1.x);
return sample1.y + factor * (sample2.y - sample1.y);
}
// https://www.w3.org/TR/css-easing-1/#step-easing-algo
double StepsEasingFunction::evaluate_at(double input_progress, bool before_flag) const
{
auto current_step = floor(input_progress * interval_count);
// 2. If the step position property is one of:
// - jump-start,
// - jump-both,
// increment current step by one.
if (position == StepPosition::JumpStart || position == StepPosition::Start || position == StepPosition::JumpBoth)
current_step += 1;
// 3. If both of the following conditions are true:
// - the before flag is set, and
// - input progress value × steps mod 1 equals zero (that is, if input progress value × steps is integral), then
// decrement current step by one.
auto step_progress = input_progress * interval_count;
if (before_flag && trunc(step_progress) == step_progress)
current_step -= 1;
// 4. If input progress value ≥ 0 and current step < 0, let current step be zero.
if (input_progress >= 0.0 && current_step < 0.0)
current_step = 0.0;
// 5. Calculate jumps based on the step position as follows:
// jump-start or jump-end -> steps
// jump-none -> steps - 1
// jump-both -> steps + 1
auto jumps = interval_count;
if (position == StepPosition::JumpNone) {
jumps--;
} else if (position == StepPosition::JumpBoth) {
jumps++;
}
// 6. If input progress value ≤ 1 and current step > jumps, let current step be jumps.
if (input_progress <= 1.0 && current_step > jumps)
current_step = jumps;
// 7. The output progress value is current step / jumps.
return current_step / jumps;
}
EasingFunction EasingFunction::from_style_value(StyleValue const& style_value)
{
if (style_value.is_easing()) {
return style_value.as_easing().function().visit(
[](EasingStyleValue::Linear const& linear) -> EasingFunction {
Vector<LinearEasingFunction::ControlPoint> resolved_control_points;
for (auto const& control_point : linear.stops)
resolved_control_points.append({ control_point.input, control_point.output });
return LinearEasingFunction { resolved_control_points, linear.to_string(SerializationMode::ResolvedValue) };
},
[](EasingStyleValue::CubicBezier const& cubic_bezier) -> EasingFunction {
auto resolved_x1 = clamp(cubic_bezier.x1.resolved({}).value_or(0.0), 0.0, 1.0);
auto resolved_y1 = cubic_bezier.y1.resolved({}).value_or(0.0);
auto resolved_x2 = clamp(cubic_bezier.x2.resolved({}).value_or(0.0), 0.0, 1.0);
auto resolved_y2 = cubic_bezier.y2.resolved({}).value_or(0.0);
return CubicBezierEasingFunction { resolved_x1, resolved_y1, resolved_x2, resolved_y2, cubic_bezier.to_string(SerializationMode::Normal) };
},
[](EasingStyleValue::Steps const& steps) -> EasingFunction {
auto resolved_interval_count = max(steps.number_of_intervals.resolved({}).value_or(1), steps.position == StepPosition::JumpNone ? 2 : 1);
return StepsEasingFunction { resolved_interval_count, steps.position, steps.to_string(SerializationMode::ResolvedValue) };
});
}
VERIFY_NOT_REACHED();
}
double EasingFunction::evaluate_at(double input_progress, bool before_flag) const
{
return visit(
[&](auto const& function) {
return function.evaluate_at(input_progress, before_flag);
});
}
String EasingFunction::to_string() const
{
return visit(
[](auto const& function) {
return function.stringified;
});
}
}

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@ -0,0 +1,60 @@
/*
* Copyright (c) 2025, Callum Law <callumlaw1709@outlook.com>
*
* SPDX-License-Identifier: BSD-2-Clause
*/
#pragma once
#include <LibWeb/CSS/Enums.h>
#include <LibWeb/CSS/StyleValues/StyleValue.h>
namespace Web::CSS {
struct LinearEasingFunction {
struct ControlPoint {
Optional<double> input;
double output;
};
Vector<ControlPoint> control_points;
String stringified;
double evaluate_at(double input_progress, bool before_flag) const;
};
struct CubicBezierEasingFunction {
double x1;
double y1;
double x2;
double y2;
String stringified;
struct CachedSample {
double x;
double y;
double t;
};
mutable Vector<CachedSample> m_cached_x_samples {};
double evaluate_at(double input_progress, bool before_flag) const;
};
struct StepsEasingFunction {
long interval_count;
StepPosition position;
String stringified;
double evaluate_at(double input_progress, bool before_flag) const;
};
struct EasingFunction : public Variant<LinearEasingFunction, CubicBezierEasingFunction, StepsEasingFunction> {
using Variant::Variant;
static EasingFunction from_style_value(StyleValue const&);
double evaluate_at(double input_progress, bool before_flag) const;
String to_string() const;
};
}

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@ -1277,9 +1277,9 @@ static void apply_animation_properties(DOM::Document& document, CascadedProperti
play_state = *play_state_value;
}
CSS::EasingStyleValue::Function timing_function { CSS::EasingStyleValue::CubicBezier::ease() };
EasingFunction timing_function = EasingFunction::from_style_value(EasingStyleValue::create(EasingStyleValue::CubicBezier::ease()));
if (auto timing_property = cascaded_properties.property(PropertyID::AnimationTimingFunction); timing_property && timing_property->is_easing())
timing_function = timing_property->as_easing().function();
timing_function = EasingFunction::from_style_value(timing_property->as_easing());
Bindings::CompositeOperation composite_operation { Bindings::CompositeOperation::Replace };
if (auto composite_property = cascaded_properties.property(PropertyID::AnimationComposition); composite_property) {

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@ -114,61 +114,6 @@ EasingStyleValue::Linear::Linear(Vector<EasingStyleValue::Linear::Stop> stops)
this->stops = move(stops);
}
// https://drafts.csswg.org/css-easing/#linear-easing-function-output
double EasingStyleValue::Linear::evaluate_at(double input_progress, bool before_flag) const
{
// To calculate linear easing output progress for a given linear easing function func,
// an input progress value inputProgress, and an optional before flag (defaulting to false),
// perform the following:
// 1. Let points be funcs control points.
// 2. If points holds only a single item, return the output progress value of that item.
if (stops.size() == 1)
return stops[0].output;
// 3. If inputProgress matches the input progress value of the first point in points,
// and the before flag is true, return the first points output progress value.
if (input_progress == stops[0].input.value() && before_flag)
return stops[0].output;
// 4. If inputProgress matches the input progress value of at least one point in points,
// return the output progress value of the last such point.
auto maybe_match = stops.last_matching([&](auto& stop) { return input_progress == stop.input.value(); });
if (maybe_match.has_value())
return maybe_match->output;
// 5. Otherwise, find two control points in points, A and B, which will be used for interpolation:
Stop A;
Stop B;
if (input_progress < stops[0].input.value()) {
// 1. If inputProgress is smaller than any input progress value in points,
// let A and B be the first two items in points.
// If A and B have the same input progress value, return As output progress value.
A = stops[0];
B = stops[1];
if (A.input == B.input)
return A.output;
} else if (input_progress > stops.last().input.value()) {
// 2. If inputProgress is larger than any input progress value in points,
// let A and B be the last two items in points.
// If A and B have the same input progress value, return Bs output progress value.
A = stops[stops.size() - 2];
B = stops[stops.size() - 1];
if (A.input == B.input)
return B.output;
} else {
// 3. Otherwise, let A be the last control point whose input progress value is smaller than inputProgress,
// and let B be the first control point whose input progress value is larger than inputProgress.
A = stops.last_matching([&](auto& stop) { return stop.input.value() < input_progress; }).value();
B = stops.first_matching([&](auto& stop) { return stop.input.value() > input_progress; }).value();
}
// 6. Linearly interpolate (or extrapolate) inputProgress along the line defined by A and B, and return the result.
auto factor = (input_progress - A.input.value()) / (B.input.value() - A.input.value());
return A.output + factor * (B.output - A.output);
}
// https://drafts.csswg.org/css-easing/#linear-easing-function-serializing
String EasingStyleValue::Linear::to_string(SerializationMode) const
{
@ -211,111 +156,6 @@ String EasingStyleValue::Linear::to_string(SerializationMode) const
return MUST(builder.to_string());
}
double EasingStyleValue::CubicBezier::evaluate_at(double input_progress, bool) const
{
constexpr static auto cubic_bezier_at = [](double x1, double x2, double t) {
auto a = 1.0 - 3.0 * x2 + 3.0 * x1;
auto b = 3.0 * x2 - 6.0 * x1;
auto c = 3.0 * x1;
auto t2 = t * t;
auto t3 = t2 * t;
return (a * t3) + (b * t2) + (c * t);
};
// https://www.w3.org/TR/css-easing-1/#cubic-bezier-algo
auto resolved_x1 = clamp(x1.resolved({}).value_or(0.0), 0.0, 1.0);
auto resolved_y1 = y1.resolved({}).value_or(0.0);
auto resolved_x2 = clamp(x2.resolved({}).value_or(0.0), 0.0, 1.0);
auto resolved_y2 = y2.resolved({}).value_or(0.0);
// For input progress values outside the range [0, 1], the curve is extended infinitely using tangent of the curve
// at the closest endpoint as follows:
// - For input progress values less than zero,
if (input_progress < 0.0) {
// 1. If the x value of P1 is greater than zero, use a straight line that passes through P1 and P0 as the
// tangent.
if (resolved_x1 > 0.0)
return resolved_y1 / resolved_x1 * input_progress;
// 2. Otherwise, if the x value of P2 is greater than zero, use a straight line that passes through P2 and P0 as
// the tangent.
if (resolved_x2 > 0.0)
return resolved_y2 / resolved_x2 * input_progress;
// 3. Otherwise, let the output progress value be zero for all input progress values in the range [-∞, 0).
return 0.0;
}
// - For input progress values greater than one,
if (input_progress > 1.0) {
// 1. If the x value of P2 is less than one, use a straight line that passes through P2 and P3 as the tangent.
if (resolved_x2 < 1.0)
return (1.0 - resolved_y2) / (1.0 - resolved_x2) * (input_progress - 1.0) + 1.0;
// 2. Otherwise, if the x value of P1 is less than one, use a straight line that passes through P1 and P3 as the
// tangent.
if (resolved_x1 < 1.0)
return (1.0 - resolved_y1) / (1.0 - resolved_x1) * (input_progress - 1.0) + 1.0;
// 3. Otherwise, let the output progress value be one for all input progress values in the range (1, ∞].
return 1.0;
}
// Note: The spec does not specify the precise algorithm for calculating values in the range [0, 1]:
// "The evaluation of this curve is covered in many sources such as [FUND-COMP-GRAPHICS]."
auto x = input_progress;
auto solve = [&](auto t) {
auto x = cubic_bezier_at(resolved_x1, resolved_x2, t);
auto y = cubic_bezier_at(resolved_y1, resolved_y2, t);
return CubicBezier::CachedSample { x, y, t };
};
if (m_cached_x_samples.is_empty())
m_cached_x_samples.append(solve(0.));
size_t nearby_index = 0;
if (auto found = binary_search(m_cached_x_samples, x, &nearby_index, [](auto x, auto& sample) {
if (x - sample.x >= NumericLimits<double>::epsilon())
return 1;
if (x - sample.x <= NumericLimits<double>::epsilon())
return -1;
return 0;
}))
return found->y;
if (nearby_index == m_cached_x_samples.size() || nearby_index + 1 == m_cached_x_samples.size()) {
// Produce more samples until we have enough.
auto last_t = m_cached_x_samples.last().t;
auto last_x = m_cached_x_samples.last().x;
while (last_x <= x && last_t < 1.0) {
last_t += 1. / 60.;
auto solution = solve(last_t);
m_cached_x_samples.append(solution);
last_x = solution.x;
}
if (auto found = binary_search(m_cached_x_samples, x, &nearby_index, [](auto x, auto& sample) {
if (x - sample.x >= NumericLimits<double>::epsilon())
return 1;
if (x - sample.x <= NumericLimits<double>::epsilon())
return -1;
return 0;
}))
return found->y;
}
// We have two samples on either side of the x value we want, so we can linearly interpolate between them.
auto& sample1 = m_cached_x_samples[nearby_index];
auto& sample2 = m_cached_x_samples[nearby_index + 1];
auto factor = (x - sample1.x) / (sample2.x - sample1.x);
return sample1.y + factor * (sample2.y - sample1.y);
}
// https://drafts.csswg.org/css-easing/#bezier-serialization
String EasingStyleValue::CubicBezier::to_string(SerializationMode mode) const
{
@ -345,54 +185,6 @@ String EasingStyleValue::CubicBezier::to_string(SerializationMode mode) const
return MUST(builder.to_string());
}
double EasingStyleValue::Steps::evaluate_at(double input_progress, bool before_flag) const
{
// https://www.w3.org/TR/css-easing-1/#step-easing-algo
// 1. Calculate the current step as floor(input progress value × steps).
auto resolved_number_of_intervals = number_of_intervals.resolved({}).value_or(1);
resolved_number_of_intervals = max(resolved_number_of_intervals, position == StepPosition::JumpNone ? 2 : 1);
auto current_step = floor(input_progress * resolved_number_of_intervals);
// 2. If the step position property is one of:
// - jump-start,
// - jump-both,
// increment current step by one.
if (position == StepPosition::JumpStart || position == StepPosition::Start || position == StepPosition::JumpBoth)
current_step += 1;
// 3. If both of the following conditions are true:
// - the before flag is set, and
// - input progress value × steps mod 1 equals zero (that is, if input progress value × steps is integral), then
// decrement current step by one.
auto step_progress = input_progress * resolved_number_of_intervals;
if (before_flag && trunc(step_progress) == step_progress)
current_step -= 1;
// 4. If input progress value ≥ 0 and current step < 0, let current step be zero.
if (input_progress >= 0.0 && current_step < 0.0)
current_step = 0.0;
// 5. Calculate jumps based on the step position as follows:
// jump-start or jump-end -> steps
// jump-none -> steps - 1
// jump-both -> steps + 1
auto jumps = resolved_number_of_intervals;
if (position == StepPosition::JumpNone) {
jumps--;
} else if (position == StepPosition::JumpBoth) {
jumps++;
}
// 6. If input progress value ≤ 1 and current step > jumps, let current step be jumps.
if (input_progress <= 1.0 && current_step > jumps)
current_step = jumps;
// 7. The output progress value is current step / jumps.
return current_step / jumps;
}
// https://drafts.csswg.org/css-easing/#steps-serialization
String EasingStyleValue::Steps::to_string(SerializationMode mode) const
{
@ -423,14 +215,6 @@ String EasingStyleValue::Steps::to_string(SerializationMode mode) const
return MUST(builder.to_string());
}
double EasingStyleValue::Function::evaluate_at(double input_progress, bool before_flag) const
{
return visit(
[&](auto const& curve) {
return curve.evaluate_at(input_progress, before_flag);
});
}
String EasingStyleValue::Function::to_string(SerializationMode mode) const
{
return visit(

View File

@ -36,7 +36,6 @@ public:
bool operator==(Linear const&) const = default;
double evaluate_at(double input_progress, bool before_flag) const;
String to_string(SerializationMode) const;
Linear(Vector<Stop> stops);
@ -66,7 +65,6 @@ public:
return x1 == other.x1 && y1 == other.y1 && x2 == other.x2 && y2 == other.y2;
}
double evaluate_at(double input_progress, bool before_flag) const;
String to_string(SerializationMode) const;
};
@ -79,14 +77,12 @@ public:
bool operator==(Steps const&) const = default;
double evaluate_at(double input_progress, bool before_flag) const;
String to_string(SerializationMode) const;
};
struct WEB_API Function : public Variant<Linear, CubicBezier, Steps> {
using Variant::Variant;
double evaluate_at(double input_progress, bool before_flag) const;
String to_string(SerializationMode) const;
};