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NailxSharipovNailxSharipov
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new performance results
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‎docs-gen/src/triangle/performance/performance.md‎

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<style>
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table {
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width: 100% !important;
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max-width: 550px;
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table-layout: auto;
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font-size: 0.8em;
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padding: 2px 2px;
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margin-left: 0; /* Aligns table to the left */
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margin-right: auto; /* Prevents centering */
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}
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td, th {
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- [rust](https://github.com/iShape-Rust/iTriangle/tree/main/performance)
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- [cpp](https://github.com/iShape-Rust/cpp_triangle_performance_app)
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All tests were run on a machine with the following specifications:
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**3 GHz 6-Core Intel Core i5, 40GB 2667 MHz DDR4**
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All benchmarks were executed on the following machine:
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**3 GHz 6-Core Intel Core i5, 40GB 2667 MHz DDR4**
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All results are presented in seconds.
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All results are presented in microseconds (10⁻⁶ sec).
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## Solvers:
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Each test was repeated multiple times, and the average result is shown.
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- **iTriangle(Unchecked-Raw)** v0.32.0 _– only raw triangulation, no validation check_
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- **iTriangle(Unchecked-Delaunay)** v0.32.0 _– raw triangulation and refinement Delaunay_
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- **iTriangle(Raw)** v0.32.0 _– validation and raw triangulation_
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- **iTriangle(Delaunay)** v0.32.0 _– validation, raw triangulation and refinement Delaunay_
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- **earcutr(MapBox)** v0.4.3 – Rust [port](https://crates.io/crates/earcutr)_– only raw triangulation, no validation check_
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- **earcut(MapBox)** v2.2.4 – C++ [official](https://github.com/mapbox/earcut.hpp)_– only raw triangulation, no validation check_
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- **triangle** v1.6 – C [official](https://www.cs.cmu.edu/~quake/triangle.html)_– constraint Delaunay triangulation, no validation check_
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All input shapes are clean (non-self-intersecting), and the logic was optimized to achieve maximum performance.
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## Solvers
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## Simple Star Test
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- **iTriangle (Earcut64, Rust)** v0.36.1 — raw triangulation, no holes, limited to ≤64 points, validation disabled
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- **iTriangle (Monotone, Rust)** v0.36.1 — raw triangulation, validation disabled
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- **iTriangle (Delaunay, Rust)** v0.36.1 — Delaunay triangulation, validation disabled
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- **MapBox (Earcut Rust)** v0.5.0 – Rust [port](https://crates.io/crates/earcutr) – raw triangulation, validation disabled
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- **MapBox (Earcut C++)** v2.2.4 – C++ [official](https://github.com/mapbox/earcut.hpp) – raw triangulation, validation disabled
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- **Triangle (Delaunay C)** v1.6 – C [official](https://www.cs.cmu.edu/~quake/triangle.html) - constrained Delaunay triangulation, validation disabled
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This test generates and triangulate 10,000 unique star-shaped polygons, one at a time.
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Each shape is defined by:
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- A unique radius scale (100 variations)
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- A unique rotation (100 steps across a full circle)
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- A given number of corners (count), each with 10 points
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_All shapes are clean (non-intersecting), and no mesh is reused — each one is processed independently._
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## Star Test
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<p align="center">
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<img src="test_0.svg" width="200"/>
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</p>
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|Count|Un-Raw |Un-Delaunay |Raw |Delaunay |Earcutr (Rust)|Earcut (C++)|Triangle (C)|
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|-----|------------|------------|------------|------------|--------------|------------|------------|
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|4 |0.042724 |0.111433 |0.079023 |0.149286 |0.057268 |0.02506 |0.46007 |
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|8 |0.083704 |0.217058 |0.169321 |0.303273 |0.127877 |0.06689 |0.88458 |
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|16 |0.174608 |0.403747 |0.373843 |0.616759 |0.290149 |0.21948 |1.52763 |
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|32 |0.363115 |0.773319 |0.832105 |1.253739 |0.693053 |0.49421 |3.07119 |
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|64 |0.769955 |1.490260 |2.077839 |2.849603 |1.699206 |1.2837 |6.14373 |
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|128 |1.688746 |2.911652 |5.533498 |6.883017 |4.253521 |3.15526 |11.7701 |
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|256 |3.465031 |5.761777 |16.05451 |18.57409 |11.46082 |8.58501 |23.1163 |
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|512 |7.063979 |11.47869 |45.20263 |49.50912 |40.62317 |32.9052 |45.0489 |
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## Star with Hole Test
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### Raw
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|Count |Earcut64 |Monotone |Earcut Rust |Earcut C++ |
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|------|--------------|--------------|---------------|------------|
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|8 |0.28 |0.5 |0.73 |0.42 |
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|16 |0.6 |1.6 |1.23 |0.5 |
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|32 |1.54 |3.9 |2.6 |1.2 |
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|64 |4.46 |8.35 |5.6 |3.3 |
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|128 |- |17.8 |12.6 |8.4 |
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|256 |- |37.5 |29.1 |22.9 |
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|512 |- |79.7 |80.7 |72.7 |
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|1024 |- |172 |259 |209 |
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|2048 |- |388 |736 |641 |
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|4096 |- |898 |3158 |2804 |
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|8192 |- |1824 |13435 |11479 |
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|16384 |- |3846 |51688 |44017 |
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### Delaunay
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|Count |iTriangle |Triangle |
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|------|--------------|--------------|
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|8 |0.46 |4.3 |
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|16 |1.0 |8.3 |
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|32 |2.5 |25 |
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|64 |6.65 |130 |
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|128 |19.7 |271 |
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|256 |40.5 |523 |
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|512 |85.9 |1006 |
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|1024 |194 |1704 |
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|2048 |424 |2828 |
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|4096 |987 |4806 |
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|8192 |2074 |8581 |
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|16384 |4533 |16384 |
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## Spiral Test
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<p align="center">
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<img src="test_1.svg" width="200"/>
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</p>
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This test generates and triangulates 10,000 unique star-shaped polygons with a central hole, one at a time.
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Each shape is defined by:
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- A unique radius scale (100 variations)
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- A unique rotation (100 steps across a full circle)
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- A central hole generated as a smaller star
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- A given number of corners (count), each with 10 points
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### Raw
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|Count |Earcut64 |Monotone |Earcut Rust |Earcut C++ |
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|------|--------------|--------------|---------------|------------|
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|8 |0.33 |0.7 |0.79 |0.42 |
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|16 |1.13 |1.4 |1.71 |0.77 |
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|32 |4.22 |3.0 |6.44 |3.4 |
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|64 |19.1 |6.2 |18.6 |19.8 |
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|128 |- |12.8 |71.6 |66 |
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|256 |- |26.7 |295 |306 |
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|512 |- |55.5 |1230 |1438 |
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|1024 |- |120 |5301 |7595 |
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|2048 |- |279 |22682 |50140 |
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|4096 |- |685 |96933 |376060 |
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|8192 |- |1435 |416943 |3.7kk |
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|16384 |- |3080 |1812147 |43.4kk |
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### Delaunay
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|Count |iTriangle |Triangle |
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|------|--------------|--------------|
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|8 |0.51 |3.2 |
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|16 |1.6 |8.7 |
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|32 |5.0 |21.5 |
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|64 |19.9 |35.6 |
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|128 |14.6 |66.9 |
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|256 |29.7 |166 |
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|512 |62.2 |340 |
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|1024 |139 |728 |
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|2048 |313 |1469 |
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|4096 |735 |82948 |
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|8192 |1442 |6609 |
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|16384 |3463 |13863 |
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_All shapes are clean (non-intersecting), and no mesh is reused — each one is processed independently._
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## Star with Hole Test
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<p align="center">
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<img src="test_1.svg" width="200"/>
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<img src="test_2.svg" width="200"/>
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</p>
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| Count | Un-Raw | Un-Delaunay | Raw | Delaunay |Earcutr (Rust)| Earcut (C++)| Triangle (C)|
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|-------|--------------|--------------|--------------|--------------|--------------|--------------|--------------|
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| 4 | 0.094518 | 0.201821 | 0.250895 | 0.361006 | 0.187054 | 0.136161 | 0.80138 |
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| 8 | 0.187340 | 0.380116 | 0.533652 | 0.743455 | 0.492114 | 0.454629 | 1.59074 |
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| 16 | 0.388725 | 0.728224 | 1.200238 | 1.579734 | 1.537897 | 1.52663 | 3.12989 |
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| 32 | 0.796857 | 1.477642 | 3.011562 | 3.662901 | 6.108676 | 5.16188 | 6.21763 |
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| 64 | 1.686455 | 2.747037 | 7.879640 | 9.071579 | 29.41532 | 25.1207 | 12.29 |
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| 128 | 3.601513 | 5.478580 | 22.38637 | 24.40913 | 201.3632 | 161.923 | 24.6715 |
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| 256 | 7.615879 | 11.41139 | 63.66546 | 67.22043 | --- | --- | 50.5745 |
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### Raw
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## Rect with Star Holes Test
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|Count |Monotone |Earcut Rust |Earcut C++ |
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|------|--------------|---------------|------------|
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|128 |12.1 |31.9 |30.2 |
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|256 |22.4 |86.6 |78.8 |
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|512 |42.3 |227 |222 |
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|1024 |84.4 |650 |593 |
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|2048 |174 |2053 |1825 |
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|4096 |333 |7102 |5702 |
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|8192 |755 |26197 |22390 |
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|16384 |1636 |102874 |80154 |
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This test generates and triangulates 25 unique rectangles filled with many 5 corners star-shaped holes.
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### Delaunay
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Each shape is defined by:
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|Count |iTriangle |Triangle |
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|------|--------------|--------------|
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|128 |16.8 |201 |
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|256 |32.8 |410 |
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|512 |61.6 |808 |
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|1024 |121 |1616 |
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|2048 |250 |3055 |
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|4096 |505 |6410 |
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|8192 |1401 |12919 |
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|16384 |4093 |30704 |
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- A large outer rectangle
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- A grid of count × count small stars as holes, each with:
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- A varying radius scale (5 variations)
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- A unique rotation (5 variations)
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- 5 corners per star, with 10 points per corner.
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_All shapes are clean (non-intersecting), and no mesh is reused — each one is processed independently._
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## Star with 8 holes Test
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<p align="center">
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<img src="test_2.svg" width="200"/>
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<img src="test_3.svg" width="200"/>
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</p>
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|Count| Un-Raw | Un-Delaunay | Raw | Delaunay |Earcutr (Rust)| Earcut (C++)| Triangle (C)|
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|-----|-------------|--------------|-------------|--------------|--------------|-------------|-------------|
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|4 | 0.002339 | 0.008275 | 0.009139 | 0.042705 | 0.037897 | 0.005311 | 0.02818 |
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|8 | 0.008906 | 0.024921 | 0.036900 | 0.104350 | 0.076405 | 0.043103 | 0.09457 |
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|16 | 0.044372 | 0.116687 | 0.142827 | 0.323554 | 0.605979 | 0.571262 | 0.32930 |
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|32 | 0.186836 | 0.510489 | 0.460254 | 0.936904 | 7.496754 | 8.54836 | 1.34492 |
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|64 | 0.786142 | 2.617753 | 1.985195 | 4.231544 | 210.3838 | 201.28 | 5.86257 |
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|128 | 4.351395 | 18.80902 | 9.719830 | 24.87851 | --- | --- | 28.4693 |
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|256 | 18.93581 | 149.7484 | 37.08732 | 179.9286 | --- | --- | 175.662 |
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### Raw
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|Count |Monotone |Earcut Rust |Earcut C++ |
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|------|--------------|---------------|------------|
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|256 |19.3 |117 |43 |
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|512 |30.3 |260 |107 |
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|1024 |53.7 |437 |270 |
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|2048 |107 |5018 |576 |
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|4096 |200 |40596 |1517 |
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|8192 |388 |156287 |3802 |
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|16384 |797 |273567 |12687 |
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### Delaunay
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|Count |iTriangle |Triangle |
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|------|--------------|--------------|
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|256 |23.7 |330 |
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|512 |41.6 |546 |
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|1024 |71.4 |951 |
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|2048 |143 |1777 |
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|4096 |276 |3398 |
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|8192 |567 |6921 |
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|16384 |1539 |13748 |
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‎docs-gen/src/triangle/performance/test_0.svg‎

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