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// Copyright 2018 The Fuchsia Authors. All rights reserved.
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.
// A TimelineFunction represents a relationship between a subject timeline and a
// reference timeline with a linear relation.
// For example, consider a common use case in which reference time is the
// monotonic clock of a system and subject time is intended presentation time
// for some media such as a video.
// |reference_time| is the value of the monotonic clock at the beginning of
// playback. |subject_time| is 0 assuming playback starts at the beginning of
// the media. We then choose a |reference_delta| and |subject_delta| so that
// |subject_delta| / |reference_delta| represents the desired playback rate,
// e.g. 0/1 for paused and 1/1 for normal playback.
// ## Formulas
// With a function we can determine the subject timeline value |s| in terms of
// reference timeline value |r| with this formula (where |reference_delta| > 0):
// s = (r - reference_time) * (subject_delta / reference_delta) + subject_time
// And similarly we can find the reference timeline value |r| in terms of
// subject timeline value |s| with this formula (where |subject_delta| > 0):
// r = (s - subject_time) * (reference_delta / subject_delta) + referenc_time
// ## Choosing time values
// Time values can be arbitrary and our linear relation will of course be the
// same, but we can use them to represent the bounds of pieces in a piecewise
// linear relation.
// For example, if a user performs skip-chapter, we might want to describe
// this with a TimelineFunction whose |subject_time| is the time to skip to,
// |reference_time| is now plus some epsilon, and delta ratio is 1/1 for normal
// playback rate.
struct TimelineFunction {
// A value from the subject timeline that correlates to reference_time.
int64 subject_time = 0;
// A value from the reference timeline that correlates to subject_time.
int64 reference_time = 0;
// The change in the subject timeline corresponding to reference_delta.
uint32 subject_delta = 0;
// The change in the reference timeline corresponding to subject_delta.
// Cannot be zero.
uint32 reference_delta = 1;