RUDPFramework/openspec/changes/separate-simulation-from-pr.../specs/local-player-presentation-s.../spec.md

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# local-player-presentation-state Specification
## Purpose
Define how the local player's presentation layer holds current display state and smoothly interpolates toward the simulation layer's target state each frame.
## ADDED Requirements
### Requirement: Presentation layer holds current and target state
The local player's presentation layer SHALL maintain `_currentPosition` and `_currentRotation` (the actively displayed state) separately from `_targetPosition` and `_targetRotation` (the simulation layer's output).
#### Scenario: Presentation state initializes from first simulation target
- **WHEN** the presentation layer is initialized or first receives a simulation target
- **THEN** `_currentPosition` and `_currentRotation` are set equal to the initial target
- **THEN** subsequent updates lerp toward the target
### Requirement: Presentation layer lerps toward target each frame
The presentation layer SHALL each frame interpolate `_currentPosition` and `_currentRotation` toward `_targetPosition` and `_targetRotation` using linear interpolation, then apply the result to the Rigidbody.
#### Scenario: Lerp position and rotation toward target
- **WHEN** the presentation layer updates each frame with interpolation alpha α
- **THEN** `_currentPosition` is updated to `Vector3.Lerp(_currentPosition, _targetPosition, α)`
- **THEN** `_currentRotation` is updated to `Quaternion.Slerp(_currentRotation, _targetRotation, α)`
- **THEN** `_rigid.position` and `_rigid.rotation` are set to `_currentPosition` and `_currentRotation`
### Requirement: Presentation layer snaps when target error exceeds threshold
When the distance between `_currentPosition` and `_targetPosition` exceeds the snap threshold, the presentation layer SHALL immediately snap `_currentPosition` to `_targetPosition` without lerping.
#### Scenario: Snap when error exceeds threshold
- **WHEN** `Vector3.Distance(_currentPosition, _targetPosition) > SnapThreshold`
- **THEN** `_currentPosition` is set equal to `_targetPosition`
- **THEN** `_currentRotation` is set equal to `_targetRotation`
- **THEN** no lerping occurs in this frame