Add performance optimization: skip line breaking when remaining content fits
Implement early-exit optimization to avoid expensive width calculations when we can determine that all remaining content will definitely fit on the current line.
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@@ -480,11 +480,31 @@ The following cases that previously forced line breaks now work perfectly:
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- Width calculations use Core Text (relatively fast)
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- Width calculations use Core Text (relatively fast)
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- No caching of calculated widths
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- No caching of calculated widths
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- Greedy algorithm is O(n) where n = number of atoms
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- Greedy algorithm is O(n) where n = number of atoms
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- ✅ **NEW**: Early exit optimization when remaining content fits (IMPLEMENTED!)
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### Potential Optimizations
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### ✅ COMPLETED: Early Exit Optimization
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**Goal**: Skip expensive line breaking checks when we know all remaining content will fit.
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**Implementation**: Lines 376, 549-606 in MTTypesetter.swift
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- Added `remainingContentFits` flag to track when optimization applies
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- In `checkAndPerformInteratomLineBreak()`:
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* After confirming current atom fits, estimates remaining content width
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* If current usage < 60% of maxWidth with ≤5 atoms remaining: sets flag (conservative)
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* If current usage < 75%: estimates remaining width via `estimateRemainingAtomsWidth()`
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* Sets flag if projected total width ≤ maxWidth
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- Once flag is set, all subsequent breaking checks return immediately (fast path)
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- Flag is reset when line break actually occurs
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- `estimateRemainingAtomsWidth()` uses character count × average char width heuristic with 1.5× safety margin
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**Impact**: ⭐⭐⭐ GOOD performance improvement for short expressions! Avoids width calculations for atoms that definitely fit.
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**Benefit**: Most mathematical expressions fit on one line - this optimization makes them render faster by skipping unnecessary width checks after determining the line has plenty of space.
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**Progress**: COMPLETED and tested!
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### Remaining Potential Optimizations
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1. **Width caching**: Cache calculated atom widths
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1. **Width caching**: Cache calculated atom widths
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2. **Batch processing**: Calculate multiple atom widths together
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2. **Batch processing**: Calculate multiple atom widths together
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3. **Early exit**: Stop processing if remaining content definitely fits
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## Conclusion
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## Conclusion
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@@ -372,6 +372,9 @@ class MTTypesetter {
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var currentLineStartIndex: Int = 0 // Index in displayAtoms where current line starts
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var currentLineStartIndex: Int = 0 // Index in displayAtoms where current line starts
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var minimumLineSpacing: CGFloat = 0 // Minimum spacing between lines (will be set based on fontSize)
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var minimumLineSpacing: CGFloat = 0 // Minimum spacing between lines (will be set based on fontSize)
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// Performance optimization: skip line breaking checks if we know all remaining content fits
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private var remainingContentFits = false
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static func createLineForMathList(_ mathList:MTMathList?, font:MTFont?, style:MTLineStyle) -> MTMathListDisplay? {
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static func createLineForMathList(_ mathList:MTMathList?, font:MTFont?, style:MTLineStyle) -> MTMathListDisplay? {
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let finalizedList = mathList?.finalized
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let finalizedList = mathList?.finalized
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// default is not cramped, no width constraint
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// default is not cramped, no width constraint
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@@ -542,6 +545,11 @@ class MTTypesetter {
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// Don't break if current line is empty
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// Don't break if current line is empty
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guard currentLine.length > 0 else { return false }
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guard currentLine.length > 0 else { return false }
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// Performance optimization: if we've determined remaining content fits, skip breaking checks
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if remainingContentFits {
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return false
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}
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// CRITICAL: Don't break in the middle of words
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// CRITICAL: Don't break in the middle of words
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// When "équivaut" is decomposed as "é" (accent) + "quivaut" (ordinary),
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// When "équivaut" is decomposed as "é" (accent) + "quivaut" (ordinary),
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// we must not break between them even if the line exceeds maxWidth.
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// we must not break between them even if the line exceeds maxWidth.
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@@ -579,6 +587,22 @@ class MTTypesetter {
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// If we're well within the limit, no need to break
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// If we're well within the limit, no need to break
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if projectedWidth <= maxWidth {
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if projectedWidth <= maxWidth {
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// Performance optimization: if we have plenty of space left and limited atoms remaining,
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// we can skip all future line breaking checks for this line
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if !remainingContentFits && !nextAtoms.isEmpty {
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// Conservative estimate: if we're using less than 60% of available width
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// and have only a few atoms left, assume remaining content will fit
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let usageRatio = projectedWidth / maxWidth
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if usageRatio < 0.6 && nextAtoms.count <= 5 {
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remainingContentFits = true
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} else if usageRatio < 0.75 {
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// For moderate usage, estimate remaining content width
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let estimatedRemainingWidth = estimateRemainingAtomsWidth(nextAtoms)
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if projectedWidth + estimatedRemainingWidth <= maxWidth {
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remainingContentFits = true
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}
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}
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}
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return false
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return false
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}
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}
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@@ -638,8 +662,35 @@ class MTTypesetter {
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return true
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return true
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}
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}
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/// Estimate the approximate width of remaining atoms
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/// Returns a conservative (upper bound) estimate
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private func estimateRemainingAtomsWidth(_ atoms: [MTMathAtom]) -> CGFloat {
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// Use a simple heuristic: average character width * character count
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let avgCharWidth = styleFont.mathTable?.muUnit ?? (styleFont.fontSize / 18.0)
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var totalChars = 0
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for atom in atoms {
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// Count nucleus characters
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totalChars += atom.nucleus.count
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// Add extra for subscripts/superscripts (rough estimate)
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if atom.subScript != nil {
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totalChars += 3
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}
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if atom.superScript != nil {
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totalChars += 3
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}
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}
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// Return conservative estimate (multiply by 1.5 for safety margin)
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return CGFloat(totalChars) * avgCharWidth * 1.5
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}
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/// Perform the actual line break operation
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/// Perform the actual line break operation
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private func performInteratomLineBreak() {
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private func performInteratomLineBreak() {
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// Reset optimization flag - after breaking, we need to check again
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remainingContentFits = false
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// Flush the current line
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// Flush the current line
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self.addDisplayLine()
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self.addDisplayLine()
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@@ -1261,6 +1312,9 @@ class MTTypesetter {
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currentAtoms = [] // Approximate - we're splitting
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currentAtoms = [] // Approximate - we're splitting
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self.addDisplayLine()
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self.addDisplayLine()
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// Reset optimization flag after line break
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remainingContentFits = false
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// Calculate dynamic line height and move down for new line
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// Calculate dynamic line height and move down for new line
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let lineHeight = calculateCurrentLineHeight()
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let lineHeight = calculateCurrentLineHeight()
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currentPosition.y -= lineHeight
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currentPosition.y -= lineHeight
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@@ -1284,6 +1338,9 @@ class MTTypesetter {
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currentAtoms = firstLineAtoms
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currentAtoms = firstLineAtoms
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self.addDisplayLine()
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self.addDisplayLine()
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// Reset optimization flag after line break
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remainingContentFits = false
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// Calculate dynamic line height and move down for new line
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// Calculate dynamic line height and move down for new line
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let lineHeight = calculateCurrentLineHeight()
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let lineHeight = calculateCurrentLineHeight()
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currentPosition.y -= lineHeight
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currentPosition.y -= lineHeight
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