# maxheap
A **max-heap** library with an API that mirrors Python’s `heapq`—but **max-first**.
It ships with a fast **C accelerator** (`maxheap._cmaxheap`) and a **pure-Python fallback**.
* Python: 3.9–3.13
* License: MIT
* Package name: `maxheap`
---
## Features
* Functional API: `heapify`, `heappush`, `heappop`, `heappushpop`, `heapreplace`, `peek`, `is_heap`
* OO wrapper: `MaxHeap` with `push/pop/peek/replace/pushpop`
* Optional C extension for speed; pure-Python fallback if unavailable
* Reproducible **microbenchmarks** with CSV output
* Test suite (`pytest`) including property tests
---
## Quickstart (from a fresh clone)
> **Run all commands from the project root** (the folder that contains `pyproject.toml`).
### macOS/Linux (bash/zsh)
```bash
# 0) Verify you're in the repo root
pwd
ls pyproject.toml
# 1) Create a clean virtualenv
python3 -m venv .venv
# 2) Activate it
source .venv/bin/activate
# 3) Confirm it's active & valid
echo "VIRTUAL_ENV=$VIRTUAL_ENV"
test -x .venv/bin/python && echo "venv OK" || echo "venv MISSING"
python -V
# 4) Install in editable mode (builds the C extension)
python -m pip install -U pip setuptools wheel
python -m pip install -e .
# 5) Sanity check the extension is loaded
python - <<'PY'
import maxheap, sys
print("HAVE_CEXT:", getattr(maxheap, "_HAVE_CEXT", None))
print("heapify impl:", maxheap.heapify.__module__)
print("python:", sys.version)
PY
```
Expected:
```
HAVE_CEXT: True
heapify impl: maxheap._cmaxheap
python: 3.13.x (...)
```
If `HAVE_CEXT` is `False`, you’re using the pure-Python fallback.
### Windows (PowerShell)
```powershell
# 0) Verify you're in the repo root
Get-ChildItem pyproject.toml
# 1) Create a venv
py -m venv .venv
# 2) Activate
. .\.venv\Scripts\Activate.ps1
# 3) Install (use -m to ensure the venv's Python)
python -m pip install -U pip setuptools wheel
python -m pip install -e .
# 4) Sanity
python - <<'PY'
import maxheap, sys
print("HAVE_CEXT:", getattr(maxheap, "_HAVE_CEXT", None))
print("heapify impl:", maxheap.heapify.__module__)
print("python:", sys.version)
PY
```
---
## Rebuilding after C changes
Any time you modify `src/maxheap/_cmaxheap.c`, rebuild:
```bash
# inside the activated venv
rm -rf build
python -m pip install -e .
```
---
## Usage
The API mirrors Python’s built-in [`heapq`](https://docs.python.org/3/library/heapq.html) — but instead of a min-heap that requires negating keys for max-first behavior, **`maxheap` stores the largest element at index `0`** and operates directly without the negation overhead.
You can choose between a **functional API** (works on plain lists) and an **OO wrapper** (`MaxHeap` class).
---
### Functional API
```python
import maxheap as heapq # same API names as heapq
# Start with an empty list
h = []
# Push elements
heapq.heappush(h, 3)
heapq.heappush(h, 10)
heapq.heappush(h, 5)
# Peek at the largest without removing it
heapq.peek(h) # -> 10
# Pop the largest
heapq.heappop(h) # -> 10
heapq.peek(h) # -> 5
# Replace the largest atomically
heapq.heapreplace(h, 4) # pops max (5), pushes 4 -> returns 5
# Push an element and pop the largest in a single step
heapq.heappushpop(h, 7) # pushes 7, pops max -> returns 7
# Turn any list into a valid max-heap in place
data = [1, 8, 3, 2]
heapq.heapify(data) # data is now a valid max-heap
```
**When to use:**
* You want to use the `heapq`-style API but without the min-heap + negation hack.
* You don’t need to subclass or wrap the heap in your own object.
---
### OO wrapper
```python
from maxheap import MaxHeap
# Initialize from iterable
h = MaxHeap([3, 1, 6, 5, 2, 4])
# Push and pop
h.push(10)
h.peek() # -> 10
h.pop() # -> 10
# Length and iteration
len(h) # -> 6
list(h) # Pops all items in descending order
# Check if a list is a valid max-heap
MaxHeap.is_heap([10, 5, 6, 2]) # True
```
**When to use:**
* You want an object that *owns* its heap data.
* You want utility methods (`peek`, `is_heap`, iteration) with clean semantics.
---
**Tip:** All hot-path operations (`heapify`, `heappush`, `heappop`, `heappushpop`, `heapreplace`) are C-accelerated — so you get **max-heap behavior faster than `heapq` with negation**.
---
## Running the tests
```bash
# ensure venv is active and package is installed
source .venv/bin/activate # Windows: .venv\Scripts\activate
python -m pip install -e .
python -m pip install -q pytest hypothesis
python -m pytest -q
```
You should see all tests green (`tests/test_maxheap.py`, `tests/test_properties.py`).
---
## Benchmarks
The benchmark compares `maxheap` with a **baseline** using stdlib `heapq` as a max-heap via negation (`-x`).
### Quick run
```bash
python benchmarks/bench_maxheap.py
```
### Larger run + CSV output
```bash
mkdir -p benchmarks
python benchmarks/bench_maxheap.py --n 100000 --repeat 10 --warmup 3 --seed 1 \
--csv benchmarks/results.csv
head benchmarks/results.csv
```
**CLI flags**
* `--n` (default `10000`) — number of items
* `--repeat` (default `5`) — measured iterations per case
* `--warmup` (default `1`) — warmup runs
* `--seed` (default `1337`) — RNG seed
* `--csv` — write a results CSV
**Benchmarks covered**
* `heappush`
* `heapify`
* `heapify+drain` (heapify then pop all)
* `heappushpop`
* `heapreplace`
**Interpreting output**
Each line prints `min / median / mean`. When a baseline exists (the negation variant), a `%` indicates **median** speedup (positive = faster than baseline).
---
## A/B: Force the pure-Python fallback (optional)
If you want to compare C vs Python on your machine, temporarily let the package respect an env var:
```python
# top of src/maxheap/__init__.py
import os
try:
if os.getenv("MAXHEAP_PURE"):
raise ImportError
from ._cmaxheap import heapify, heappush, heappop, heappushpop, heapreplace # type: ignore
_HAVE_CEXT = True
except Exception:
from ._core import heapify, heappush, heappop, heappushpop, heapreplace
_HAVE_CEXT = False
```
Then:
```bash
python -m pip install -e .
python benchmarks/bench_maxheap.py --csv benchmarks/results_cext.csv
MAXHEAP_PURE=1 python benchmarks/bench_maxheap.py --csv benchmarks/results_pure.csv
```
---
## Packaging (optional)
```bash
rm -rf dist
python -m build # pip install build, if needed
python -m pip install -U twine
twine upload --repository testpypi dist/*
```
Fresh-venv verification:
```bash
python -m venv /tmp/venv && source /tmp/venv/bin/activate
python -m pip install -i https://test.pypi.org/simple/ maxheap
python - <<'PY'
import maxheap
print(maxheap._HAVE_CEXT, maxheap.heapify.__module__)
PY
```
---
## Project layout
```
.
├── benchmarks/
│ └── bench_maxheap.py # microbenchmarks (CSV capable)
├── src/
│ └── maxheap/
│ ├── _cmaxheap.c # C accelerator (optional)
│ ├── _core.py # pure-Python implementation
│ └── __init__.py # optional import of C ext, fallback to Python
├── tests/
│ ├── test_maxheap.py # unit tests
│ └── test_properties.py # property-based tests
├── pyproject.toml
└── README.md
```
---
## Troubleshooting
### “`.venv/bin/python: No such file or directory`” or prompt shows `(.venv)` but it’s broken
You’re in a shell with a **stale** venv path. Fix:
```bash
deactivate 2>/dev/null || true
rm -rf .venv build *.egg-info src/*.egg-info
python3 -m venv .venv
source .venv/bin/activate
python -m pip install -U pip setuptools wheel
python -m pip install -e .
```
Check:
```bash
echo "$VIRTUAL_ENV" # should point to .../maxheap/library/.venv
which python # should be .../maxheap/library/.venv/bin/python
```
### “`ModuleNotFoundError: No module named 'maxheap'`”
* Ensure you ran `python -m pip install -e .` in the **repo root**.
* Ensure tests are run with the **same venv**:
```bash
python -m pytest -q
```
* Confirm where `maxheap` is imported from:
```bash
python - <<'PY'
```
import maxheap, os
print(os.path.dirname(maxheap.**file**))
PY
````
### Rebuild didn’t pick up code changes
Remove build artifacts and reinstall:
```bash
rm -rf build
python -m pip install -e .
````
---
## API reference (quick)
```python
# functional API
heapify(x: List[T]) -> None
heappush(heap: List[T], item: T) -> None
heappop(heap: List[T]) -> T
heappushpop(heap: List[T], item: T) -> T
heapreplace(heap: List[T], item: T) -> T
peek(heap: List[T]) -> T
is_heap(x: List[T]) -> bool
# OO wrapper
class MaxHeap(Generic[T]):
def __init__(self, iterable: Optional[Iterable[T]] = None) -> None: ...
def push(self, item: T) -> None: ...
def pop(self) -> T: ...
def peek(self) -> T: ...
def replace(self, item: T) -> T: ...
def pushpop(self, item: T) -> T: ...
def heap(self) -> List[T]: ...
def __len__(self) -> int: ...
```
---
## Notes on performance
* The accelerator focuses on the hot operations that do comparisons and pointer moves (`heapify`, `heappush`, `heappop`, `heappushpop`, `heapreplace`).
* `peek`, `is_heap`, and the `MaxHeap` wrapper remain in Python—these aren’t hot in typical workloads, and keeping them in Python preserves readability.
### Benchmark highlights
| operation | median time (s) | speedup vs `heapq`+negation |
| ----------------------- | --------------- | --------------------------- |
| heappush (maxheap) | 0.00535 | \~19% faster |
| heapify (maxheap) | 0.00349 | \~28% faster |
| heapify+drain (maxheap) | 0.04043 | \~41% faster |
**Result:** Max-first heap without the negation hack, and *still* beating the pants off `heapq`.
---
## Contributing
* Format/lint: `ruff` (see `pyproject.toml`)
* Types: `mypy` (strict options)
* Tests: `pytest`, property tests via `hypothesis`
PRs and issues welcome!
Raw data
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"author": "Timothy Roch",
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"description": "# maxheap\n\nA **max-heap** library with an API that mirrors Python\u2019s `heapq`\u2014but **max-first**.\nIt ships with a fast **C accelerator** (`maxheap._cmaxheap`) and a **pure-Python fallback**.\n\n* Python: 3.9\u20133.13\n* License: MIT\n* Package name: `maxheap`\n\n---\n\n## Features\n\n* Functional API: `heapify`, `heappush`, `heappop`, `heappushpop`, `heapreplace`, `peek`, `is_heap`\n* OO wrapper: `MaxHeap` with `push/pop/peek/replace/pushpop`\n* Optional C extension for speed; pure-Python fallback if unavailable\n* Reproducible **microbenchmarks** with CSV output\n* Test suite (`pytest`) including property tests\n\n---\n\n## Quickstart (from a fresh clone)\n\n> **Run all commands from the project root** (the folder that contains `pyproject.toml`).\n\n### macOS/Linux (bash/zsh)\n\n```bash\n# 0) Verify you're in the repo root\npwd\nls pyproject.toml\n\n# 1) Create a clean virtualenv\npython3 -m venv .venv\n\n# 2) Activate it\nsource .venv/bin/activate\n\n# 3) Confirm it's active & valid\necho \"VIRTUAL_ENV=$VIRTUAL_ENV\"\ntest -x .venv/bin/python && echo \"venv OK\" || echo \"venv MISSING\"\npython -V\n\n# 4) Install in editable mode (builds the C extension)\npython -m pip install -U pip setuptools wheel\npython -m pip install -e .\n\n# 5) Sanity check the extension is loaded\npython - <<'PY'\nimport maxheap, sys\nprint(\"HAVE_CEXT:\", getattr(maxheap, \"_HAVE_CEXT\", None))\nprint(\"heapify impl:\", maxheap.heapify.__module__)\nprint(\"python:\", sys.version)\nPY\n```\n\nExpected:\n\n```\nHAVE_CEXT: True\nheapify impl: maxheap._cmaxheap\npython: 3.13.x (...)\n```\n\nIf `HAVE_CEXT` is `False`, you\u2019re using the pure-Python fallback.\n\n### Windows (PowerShell)\n\n```powershell\n# 0) Verify you're in the repo root\nGet-ChildItem pyproject.toml\n\n# 1) Create a venv\npy -m venv .venv\n\n# 2) Activate\n. .\\.venv\\Scripts\\Activate.ps1\n\n# 3) Install (use -m to ensure the venv's Python)\npython -m pip install -U pip setuptools wheel\npython -m pip install -e .\n\n# 4) Sanity\npython - <<'PY'\nimport maxheap, sys\nprint(\"HAVE_CEXT:\", getattr(maxheap, \"_HAVE_CEXT\", None))\nprint(\"heapify impl:\", maxheap.heapify.__module__)\nprint(\"python:\", sys.version)\nPY\n```\n\n---\n\n## Rebuilding after C changes\n\nAny time you modify `src/maxheap/_cmaxheap.c`, rebuild:\n\n```bash\n# inside the activated venv\nrm -rf build\npython -m pip install -e .\n```\n\n---\n\n\n## Usage\n\nThe API mirrors Python\u2019s built-in [`heapq`](https://docs.python.org/3/library/heapq.html) \u2014 but instead of a min-heap that requires negating keys for max-first behavior, **`maxheap` stores the largest element at index `0`** and operates directly without the negation overhead.\n\nYou can choose between a **functional API** (works on plain lists) and an **OO wrapper** (`MaxHeap` class).\n\n---\n\n### Functional API\n\n```python\nimport maxheap as heapq # same API names as heapq\n\n# Start with an empty list\nh = []\n\n# Push elements\nheapq.heappush(h, 3)\nheapq.heappush(h, 10)\nheapq.heappush(h, 5)\n\n# Peek at the largest without removing it\nheapq.peek(h) # -> 10\n\n# Pop the largest\nheapq.heappop(h) # -> 10\nheapq.peek(h) # -> 5\n\n# Replace the largest atomically\nheapq.heapreplace(h, 4) # pops max (5), pushes 4 -> returns 5\n\n# Push an element and pop the largest in a single step\nheapq.heappushpop(h, 7) # pushes 7, pops max -> returns 7\n\n# Turn any list into a valid max-heap in place\ndata = [1, 8, 3, 2]\nheapq.heapify(data) # data is now a valid max-heap\n```\n\n**When to use:**\n\n* You want to use the `heapq`-style API but without the min-heap + negation hack.\n* You don\u2019t need to subclass or wrap the heap in your own object.\n\n---\n\n### OO wrapper\n\n```python\nfrom maxheap import MaxHeap\n\n# Initialize from iterable\nh = MaxHeap([3, 1, 6, 5, 2, 4])\n\n# Push and pop\nh.push(10)\nh.peek() # -> 10\nh.pop() # -> 10\n\n# Length and iteration\nlen(h) # -> 6\nlist(h) # Pops all items in descending order\n\n# Check if a list is a valid max-heap\nMaxHeap.is_heap([10, 5, 6, 2]) # True\n```\n\n**When to use:**\n\n* You want an object that *owns* its heap data.\n* You want utility methods (`peek`, `is_heap`, iteration) with clean semantics.\n\n---\n\n**Tip:** All hot-path operations (`heapify`, `heappush`, `heappop`, `heappushpop`, `heapreplace`) are C-accelerated \u2014 so you get **max-heap behavior faster than `heapq` with negation**.\n\n---\n\n## Running the tests\n\n```bash\n# ensure venv is active and package is installed\nsource .venv/bin/activate # Windows: .venv\\Scripts\\activate\npython -m pip install -e .\npython -m pip install -q pytest hypothesis\npython -m pytest -q\n```\n\nYou should see all tests green (`tests/test_maxheap.py`, `tests/test_properties.py`).\n\n---\n\n## Benchmarks\n\nThe benchmark compares `maxheap` with a **baseline** using stdlib `heapq` as a max-heap via negation (`-x`).\n\n### Quick run\n\n```bash\npython benchmarks/bench_maxheap.py\n```\n\n### Larger run + CSV output\n\n```bash\nmkdir -p benchmarks\npython benchmarks/bench_maxheap.py --n 100000 --repeat 10 --warmup 3 --seed 1 \\\n --csv benchmarks/results.csv\nhead benchmarks/results.csv\n```\n\n**CLI flags**\n\n* `--n` (default `10000`) \u2014 number of items\n* `--repeat` (default `5`) \u2014 measured iterations per case\n* `--warmup` (default `1`) \u2014 warmup runs\n* `--seed` (default `1337`) \u2014 RNG seed\n* `--csv` \u2014 write a results CSV\n\n**Benchmarks covered**\n\n* `heappush`\n* `heapify`\n* `heapify+drain` (heapify then pop all)\n* `heappushpop`\n* `heapreplace`\n\n**Interpreting output**\n\nEach line prints `min / median / mean`. When a baseline exists (the negation variant), a `%` indicates **median** speedup (positive = faster than baseline).\n\n---\n\n## A/B: Force the pure-Python fallback (optional)\n\nIf you want to compare C vs Python on your machine, temporarily let the package respect an env var:\n\n```python\n# top of src/maxheap/__init__.py\nimport os\ntry:\n if os.getenv(\"MAXHEAP_PURE\"):\n raise ImportError\n from ._cmaxheap import heapify, heappush, heappop, heappushpop, heapreplace # type: ignore\n _HAVE_CEXT = True\nexcept Exception:\n from ._core import heapify, heappush, heappop, heappushpop, heapreplace\n _HAVE_CEXT = False\n```\n\nThen:\n\n```bash\npython -m pip install -e .\npython benchmarks/bench_maxheap.py --csv benchmarks/results_cext.csv\n\nMAXHEAP_PURE=1 python benchmarks/bench_maxheap.py --csv benchmarks/results_pure.csv\n```\n\n---\n\n## Packaging (optional)\n\n```bash\nrm -rf dist\npython -m build # pip install build, if needed\npython -m pip install -U twine\ntwine upload --repository testpypi dist/*\n```\n\nFresh-venv verification:\n\n```bash\npython -m venv /tmp/venv && source /tmp/venv/bin/activate\npython -m pip install -i https://test.pypi.org/simple/ maxheap\npython - <<'PY'\nimport maxheap\nprint(maxheap._HAVE_CEXT, maxheap.heapify.__module__)\nPY\n```\n\n---\n\n## Project layout\n\n```\n.\n\u251c\u2500\u2500 benchmarks/\n\u2502 \u2514\u2500\u2500 bench_maxheap.py # microbenchmarks (CSV capable)\n\u251c\u2500\u2500 src/\n\u2502 \u2514\u2500\u2500 maxheap/\n\u2502 \u251c\u2500\u2500 _cmaxheap.c # C accelerator (optional)\n\u2502 \u251c\u2500\u2500 _core.py # pure-Python implementation\n\u2502 \u2514\u2500\u2500 __init__.py # optional import of C ext, fallback to Python\n\u251c\u2500\u2500 tests/\n\u2502 \u251c\u2500\u2500 test_maxheap.py # unit tests\n\u2502 \u2514\u2500\u2500 test_properties.py # property-based tests\n\u251c\u2500\u2500 pyproject.toml\n\u2514\u2500\u2500 README.md\n```\n\n---\n\n## Troubleshooting\n\n### \u201c`.venv/bin/python: No such file or directory`\u201d or prompt shows `(.venv)` but it\u2019s broken\n\nYou\u2019re in a shell with a **stale** venv path. Fix:\n\n```bash\ndeactivate 2>/dev/null || true\nrm -rf .venv build *.egg-info src/*.egg-info\npython3 -m venv .venv\nsource .venv/bin/activate\npython -m pip install -U pip setuptools wheel\npython -m pip install -e .\n```\n\nCheck:\n\n```bash\necho \"$VIRTUAL_ENV\" # should point to .../maxheap/library/.venv\nwhich python # should be .../maxheap/library/.venv/bin/python\n```\n\n### \u201c`ModuleNotFoundError: No module named 'maxheap'`\u201d\n\n* Ensure you ran `python -m pip install -e .` in the **repo root**.\n* Ensure tests are run with the **same venv**:\n\n ```bash\n python -m pytest -q\n ```\n* Confirm where `maxheap` is imported from:\n\n ```bash\n python - <<'PY'\n ```\n\nimport maxheap, os\nprint(os.path.dirname(maxheap.**file**))\nPY\n\n````\n\n### Rebuild didn\u2019t pick up code changes\n\nRemove build artifacts and reinstall:\n\n```bash\nrm -rf build\npython -m pip install -e .\n````\n\n---\n\n## API reference (quick)\n\n```python\n# functional API\nheapify(x: List[T]) -> None\nheappush(heap: List[T], item: T) -> None\nheappop(heap: List[T]) -> T\nheappushpop(heap: List[T], item: T) -> T\nheapreplace(heap: List[T], item: T) -> T\npeek(heap: List[T]) -> T\nis_heap(x: List[T]) -> bool\n\n# OO wrapper\nclass MaxHeap(Generic[T]):\n def __init__(self, iterable: Optional[Iterable[T]] = None) -> None: ...\n def push(self, item: T) -> None: ...\n def pop(self) -> T: ...\n def peek(self) -> T: ...\n def replace(self, item: T) -> T: ...\n def pushpop(self, item: T) -> T: ...\n def heap(self) -> List[T]: ...\n def __len__(self) -> int: ...\n```\n\n---\n\n\n## Notes on performance\n\n* The accelerator focuses on the hot operations that do comparisons and pointer moves (`heapify`, `heappush`, `heappop`, `heappushpop`, `heapreplace`).\n* `peek`, `is_heap`, and the `MaxHeap` wrapper remain in Python\u2014these aren\u2019t hot in typical workloads, and keeping them in Python preserves readability.\n\n### Benchmark highlights\n\n| operation | median time (s) | speedup vs `heapq`+negation |\n| ----------------------- | --------------- | --------------------------- |\n| heappush (maxheap) | 0.00535 | \\~19% faster |\n| heapify (maxheap) | 0.00349 | \\~28% faster |\n| heapify+drain (maxheap) | 0.04043 | \\~41% faster |\n\n**Result:** Max-first heap without the negation hack, and *still* beating the pants off `heapq`.\n\n---\n\n\n## Contributing\n\n* Format/lint: `ruff` (see `pyproject.toml`)\n* Types: `mypy` (strict options)\n* Tests: `pytest`, property tests via `hypothesis`\n\nPRs and issues welcome!\n",
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