diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000..997504b --- /dev/null +++ b/.gitattributes @@ -0,0 +1,2 @@ +# SCM syntax highlighting & preventing 3-way merges +pixi.lock merge=binary linguist-language=YAML linguist-generated=true -diff diff --git a/.github/workflows/deliver.yml b/.github/workflows/deliver.yml new file mode 100644 index 0000000..dc65c6e --- /dev/null +++ b/.github/workflows/deliver.yml @@ -0,0 +1,29 @@ +name: Deliver results +on: [push] # for now, to get latest results + +jobs: + make-plot: + runs-on: ubuntu-latest + + steps: + - name: Checkout the code + uses: actions/checkout@v6 + + - name: Install pixi + uses: prefix-dev/setup-pixi@v0.9.3 + with: + pixi-version: v0.62.2 # good to pin this since pixi is not 1.0 yet! + + - name: run analysis + run: | + cd analysis + pixi run pkoffee analyze --data-file coffee_productivity.csv --output fitted_models.toml --show-rankings + pixi run pkoffee plot --data-file coffee_productivity.csv --models fitted_models.toml --output analysis.png --y-max 7 + + - name: upload results + uses: actions/upload-artifact@v6 + with: + name: results + path: | + analysis/analysis.png + analysis/fitted_models.toml diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml new file mode 100644 index 0000000..ea31165 --- /dev/null +++ b/.github/workflows/test.yml @@ -0,0 +1,46 @@ +name: Test Matrix +on: [push] + +jobs: + code-quality: + runs-on: ubuntu-latest + + steps: + - name: Checkout the code + uses: actions/checkout@v6 + + - name: Install pixi + uses: prefix-dev/setup-pixi@v0.9.3 + with: + pixi-version: v0.62.2 # good to pin this since pixi is not 1.0 yet! + + # - name: look for syntax errors with ruff + # run: pixi run ruff check + + unit-tests: + runs-on: ${{ matrix.os }} + needs: code-quality # don't bother running tests if code-checks fails. + + strategy: + fail-fast: false # don't stop all jobs if one fails + matrix: + os: + - ubuntu-latest + - macos-latest + - windows-latest + environment: + - test + - test314 + - test312 + + steps: + - name: Checkout the code + uses: actions/checkout@v6 + + - name: Install pixi + uses: prefix-dev/setup-pixi@v0.9.3 + with: + pixi-version: v0.62.2 + environments: ${{ matrix.environment }} + + - run: pixi run -e ${{ matrix.environment }} pytest diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..af4fdfc --- /dev/null +++ b/.gitignore @@ -0,0 +1,151 @@ +# Pixi +.pixi/ +!.pixi/config.toml +build/ +*.conda +output/ +linux-64/ +noarch/ +osx-amd64/ +public/ + +# Virtual environments +venv/ +env/ +ENV/ +.venv + +# Python +**/__pycache__/ +**/*.egg-info/ +*.py[codz] +*$py.class +*.so +.Python +build/ +develop-eggs/ +dist/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Testing +.pytest_cache/ +coverage/ +.coverage +.coverage.* +.tox/ +.nox/ +htmlcov/ +cobertura_report.xml +junit_report.xml +nosetests.xml +*.cover +*.py.cover +.hypothesis/ +cover/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 +db.sqlite3-journal + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +.pybuilder/ +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# IPython +profile_default/ +ipython_config.py + + +# Documentation building +docDir +htmldoc +doc/doc_src/snippets/*.md +doc/doc_src/doc + +# MACOS +.DS_Store + +# IDEs +.vscode/ +.idea/ +*.swp +*.swo +*~ + +# Abstra +# Abstra is an AI-powered process automation framework. +# Ignore directories containing user credentials, local state, and settings. +# Learn more at https://abstra.io/docs +.abstra/ + + +# PyPI configuration file +.pypirc + +#Ignore vscode AI rules +.github/instructions/codacy.instructions.md + +# Type checking +.mypy_cache/ +.dmypy.json +dmypy.json +.ruff_cache + +# Generated files +*.png +*.jpg +*.pdf +*.csv +# include example_data.csv as example +!doc/doc_src/example_data/coffee_productivity.csv + +# Jupyter +**/.ipynb_checkpoints/ + +# Cursor +# Cursor is an AI-powered code editor. `.cursorignore` specifies files/directories to +# exclude from AI features like autocomplete and code analysis. Recommended for sensitive data +# refer to https://docs.cursor.com/context/ignore-files +.cursorignore +.cursorindexingignore + +# Marimo +marimo/_static/ +marimo/_lsp/ +__marimo__/ diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..db05768 --- /dev/null +++ b/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2025 PKoffee Contributors + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/README.md b/README.md index 055aab7..2b237fb 100644 --- a/README.md +++ b/README.md @@ -1,11 +1,93 @@ -# pkoffee - - -Analysis for the paper _Quantifying the Relationship Between Coffee Consumption and Developer Productivity: An Observational Study_ by Jean Dupont, 2025 +# PKoffee - Coffee Productivity Analysis +A Conda package implemented in python for analyzing the relationship between coffee consumption and productivity through statistical modeling and visualization. Project inspired by _Le Café - Oldelaf_ for the S3 School 2026. [![Le Café - Oldelaf - on YouTube](http://img.youtube.com/vi/UGtKGX8B9hU/0.jpg)](http://www.youtube.com/watch?v=UGtKGX8B9hU "Le Café - Oldelaf") +## Features + +- **Data Analysis**: Load and analyze coffee consumption vs productivity datasets +- **Multiple Models**: Fit various mathematical models (quadratic, Michaelis-Menten, logistic, peak functions) +- **Visualization**: Beautiful violin plots with model overlays using Seaborn +- **Model Comparison**: Automatic R² scoring and ranking of models +- **Type-Safe**: Full type hints for better IDE support and code quality + +## Installation + +```bash +pixi install +``` + +## Quick Start + +```python +from pathlib import Path +from pkoffee.data import load_csv +from pkoffee.productivity_analysis import fit_all_models +from pkoffee.visualization import plot_models + +# Load your data +data = load_csv(Path("analysis/coffee_productivity.csv")) + +# Fit models +fitted_models = fit_all_models(data) + +# Create visualization +plot_models(data, fitted_models, output_path=Path("analysis/results.png")) +``` + +## Command Line Interface + +```bash +# Analyze +cd analysis && pixi shell +# fit models and save to toml +pkoffee analyze --data-file coffee_productivity.csv --output fitted_models.toml --show-rankings +# plot models predictions +pkoffee plot --data-file coffee_productivity.csv --models fitted_models.toml --output analysis.png --y-max 7 +``` + +## Project Structure + +``` +pkoffee-sol/ +├── src/pkoffee/ +│ ├── __init__.py # Python package +│ ├── cli.py # Command line interface +│ ├── data.py # Data loading utilities +│ ├── fit_model_io.py # Model writing/reading to file +│ ├── fit_model.py # Model definition and fitting +│ ├── log.py # Logging utilities +│ ├── metrics.py # Model evaluation metrics +│ ├── parametric_function.py # Mathematical models as parametric functions +│ ├── productivity_analysis.py # Coffee analysis +│ └── visualization.py # Plotting functions +├── README.md +├── pixi.toml +├── pixi.lock +└── pyproject.toml +``` + +## Models Implemented + +1. **Quadratic**: `f(x) = a₀ + a₁x + a₂x²` +2. **Michaelis-Menten (Saturating)**: `f(x) = y₀ + Vₘₐₓ·x/(K + x)` +3. **Logistic**: `f(x) = y₀ + L/(1 + e^(-k(x - x₀)))` +4. **Peak**: `f(x) = a·x·e^(-x/b)` +5. **Peak2**: `f(x) = a·x²·e^(-x/b)` + +## Development + +```bash +# Activate the environment +pixi shell +# use development dependencies like jupyter notebooks/ipython +jupyterlab +``` + +## License + +MIT License diff --git a/coffee_productivity.csv b/analysis/coffee_productivity.csv similarity index 100% rename from coffee_productivity.csv rename to analysis/coffee_productivity.csv diff --git a/main.py b/main.py deleted file mode 100644 index d2d6179..0000000 --- a/main.py +++ /dev/null @@ -1,57 +0,0 @@ -import numpy as np -import matplotlib.pyplot as plt -import pandas as pd -from scipy.optimize import curve_fit -from pathlib import Path -import seaborn as sns - -data = pd.read_csv("coffee_productivity.csv") -X = data["cups"].values -Y = data["productivity"].values - -fig=plt.figure(figsize=(10,6)) -ax=plt.gca() -ax.set_xlabel("Cups of Coffee") -ax.set_ylabel("Productivity") -ax.set_title("Productivity vs Coffee") -ax.grid(True,alpha=0.3) - -sns.violinplot(data=data,x="cups",y="productivity",hue="cups",ax=ax,inner="quartile",cut=0,density_norm='width',palette="Greens",linewidth=0.8,legend=False) - -x_min,x_max=float(np.min(X)),float(np.max(X)) -y_min,y_max=float(np.min(Y)),float(np.max(Y)) -dy=max(1e-8,y_max-y_min) - -MODELS=[ -{"name":"quadratic","p0":[y_min,0.0,0.01],"bounds":(-np.inf,np.inf),"f":lambda xx,a0,a1,a2:a0+a1*xx+a2*xx**2}, -{"name":"saturating","p0":[dy,max(1.0,0.2*(x_min+x_max)),y_min],"bounds":([-np.inf,0.0,-np.inf],[np.inf,np.inf,np.inf]),"f":lambda xx,Vmax,K,y0:y0+Vmax*(xx/np.maximum(K+xx,1e-9))}, -{"name":"logistic","p0":[dy,0.5,0.5*(x_min+x_max),y_min],"bounds":([-np.inf,0.0,-np.inf,-np.inf],[np.inf,np.inf,np.inf,np.inf]),"f":lambda xx,L,k,x0,y0:y0+L/(1.0+np.exp(-k*(xx-x0)))}, -{"name":"peak","p0":[max(y_min,y_max),max(1.0,0.5*(x_min+x_max))],"bounds":([-np.inf,0.0],[np.inf,np.inf]),"f":lambda xx,a,b:a*xx*np.exp(-xx/np.maximum(b,1e-9))}, -{"name":"peak2","p0":[max(1e-6,y_max/max(1.0,x_max**2)),max(1.0,0.5*(x_min+x_max))],"bounds":([-np.inf,0.0],[np.inf,np.inf]),"f":lambda xx,a,b:a*(xx**2)*np.exp(-xx/np.maximum(b,1e-9))}, -] - -fits=[] -for m in MODELS: - popt,_=curve_fit(m["f"],X,Y,p0=m["p0"],bounds=m["bounds"],maxfev=20000) - yhat=m["f"](X,*popt) - ss_res=float(np.sum((Y-yhat)**2)) - ss_tot=float(np.sum((Y-np.mean(Y))**2)) - r2=1.0-ss_res/ss_tot if ss_tot>0 else np.nan - fits.append({"name":m["name"],"func":m["f"],"params":popt,"r2":r2}) - - -fits.sort(key=lambda d:(d["r2"]if np.isfinite(d["r2"])else -np.inf),reverse=True) - -x_smooth=np.linspace(np.min(X),np.max(X),300) -for idx,res in enumerate(fits): - y_s=res["func"](x_smooth,*res["params"]) - label=f"{res['name']} (R²={res['r2']:.3f})" - ax.plot(x_smooth,y_s,lw=2,label=label) - - -ax.legend() -ax.set_ylim(-0.2,8) -out_path=Path(__file__).with_name("fit_plot.png") -plt.tight_layout() -plt.savefig(out_path,dpi=150) -plt.show() \ No newline at end of file diff --git a/pixi.lock b/pixi.lock new file mode 100644 index 0000000..c8bd0c8 --- /dev/null +++ b/pixi.lock @@ -0,0 +1,14444 @@ +version: 6 +environments: + default: + channels: + - url: https://prefix.dev/pixi-build-backends/ + - 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Beta", + "Operating System :: OS Independent", + "Programming Language :: Python :: 3", + "Programming Language :: Python :: 3.12", + "Programming Language :: Python :: 3.13", + "Intended Audience :: Science/Research", + "License :: OSI Approved :: MIT License", +] + +[project.urls] +"Homepage" = "https://github.com/s3-school/pkoffee" +"Bug Tracker" = "https://github.com/s3-school/pkoffee/issues" +"Documentation" = "https://github.com/s3-school/pkoffee/blob/main/README.md" + +[project.scripts] +pkoffee = "pkoffee.cli:main" diff --git a/src/pkoffee/__init__.py b/src/pkoffee/__init__.py new file mode 100644 index 0000000..1b2b2c3 --- /dev/null +++ b/src/pkoffee/__init__.py @@ -0,0 +1,6 @@ +""" +PKoffee - Coffee Productivity Analysis Package. + +A comprehensive toolkit for analyzing the relationship between coffee consumption +and productivity through statistical modeling and visualization. +""" diff --git a/src/pkoffee/cli.py b/src/pkoffee/cli.py new file mode 100644 index 0000000..1c56b54 --- /dev/null +++ b/src/pkoffee/cli.py @@ -0,0 +1,195 @@ +"""Command-line interface for PKoffee analysis.""" + +import argparse +from enum import StrEnum +from pathlib import Path + +from pkoffee.log import LogLevel, init_logging +from pkoffee.productivity_analysis import analyze + + +class MissingVisualizationDependenciesError(ImportError): + """Error when visualization dependencies are missing.""" + + def __init__(self) -> None: + super().__init__( + "pkoffee.visualization graphic dependencies missing! " + "To produce model visualization, install the pkoffee package with its dependencies, not pkoffee-base!" + ) + + +class PKoffeCommands(StrEnum): + """Commands of the pkoffee CLI.""" + + ANALYZE = "analyze" + PLOT = "plot" + + +class UnsupportedCommandError(NotImplementedError): + """Unsupported Command Error.""" + + def __init__(self, command: str) -> None: + super().__init__(f"{command} is not implemented.") + + +class PKoffeArgParseFormatter(argparse.RawTextHelpFormatter, argparse.ArgumentDefaultsHelpFormatter): + """Combine the RawTextHelpFormatter and ArgumentDefaultsHelpFormatter. + + The purpose of this class is to not format description and epilog of the parser (behavior of + `RawTextHelpFormatter`) while showing defaults for arguments (behavior of `ArgumentDefaultsHelpFormatter`). + """ + + +def pkoffe_argparser() -> argparse.ArgumentParser: + """Define the arguments of the PKoffe CLI.""" + parser = argparse.ArgumentParser( + description="PKoffee - Coffee Productivity Analysis Tool", + formatter_class=PKoffeArgParseFormatter, + epilog=""" +Examples: + # Analyze data and create visualization + pkoffee analyze data.csv --output results.png + + # Show model rankings without plot + pkoffee analyze data.csv --show-rankings --no-plot + + # Create comparison plot + pkoffee analyze data.csv --comparison comparison.png + """, + ) + + parser.add_argument("--log-file", dest="log_file", type=Path, default=None, help="Log file path.") + parser.add_argument( + "--log-level", + dest="log_level", + type=LogLevel.from_string, + choices=tuple(LogLevel), + default=LogLevel.NOTSET, + nargs="?", + const=LogLevel.NOTSET, + ) + + subparsers = parser.add_subparsers(dest="command", help="Available commands", required=True) + + # Analyze command + analyze_parser = subparsers.add_parser( + PKoffeCommands.ANALYZE.value, + help="Analyze coffee productivity data", + formatter_class=PKoffeArgParseFormatter, + ) + analyze_parser.add_argument( + "-d", + "--data-file", + type=Path, + required=True, + dest="data_file", + help="Path to CSV file with 'cups' and 'productivity' columns", + ) + analyze_parser.add_argument( + "-m", + "--models", + type=Path, + dest="model_file", + default=None, + help="Model file to use as starting point for the fit (same structure as fitted model file)." + " If not supplied, the default models and parameter guesses will be used.", + ) + analyze_parser.add_argument( + "-o", + "--output", + type=Path, + default="fitted_models.toml", + help="Output path for the fitted models (default: models.toml)", + ) + analyze_parser.add_argument( + "--show-rankings", + action="store_true", + dest="show_rankings", + help="Print model rankings to console", + ) + + # Plot command + plot_parser = subparsers.add_parser( + PKoffeCommands.PLOT.value, + help="Plot coffee productivity models over data", + formatter_class=PKoffeArgParseFormatter, + ) + plot_parser.add_argument( + "-d", + "--data-file", + type=Path, + required=True, + dest="data_file", + help="Path to CSV file with 'cups' and 'productivity' columns", + ) + plot_parser.add_argument( + "-m", + "--models", + type=Path, + required=True, + dest="model_file", + help="Fitted models which predictions will be plotted.", + ) + plot_parser.add_argument( + "-o", + "--output", + type=Path, + default="analysis.png", + help="Output path for the analysis plot (default: analysis.png)", + ) + plot_parser.add_argument( + "--comparison", + type=Path, + default=None, + help="If supplied, also create a comparison plot with individual model panels at this path", + ) + plot_parser.add_argument( + "--no-show", + action="store_true", + dest="no_show", + help="Don't display plots (only save to files)", + ) + plot_parser.add_argument( + "--dpi", + type=int, + default=150, + help="Resolution for saved figures (default: 150)", + ) + plot_parser.add_argument( + "--y-min", + type=float, + dest="y_min", + help="Minimum y-axis value", + ) + plot_parser.add_argument( + "--y-max", + type=float, + dest="y_max", + help="Maximum y-axis value", + ) + return parser + + +def main() -> None: + """Parse arguments and execute input command.""" + parser = pkoffe_argparser() + args = parser.parse_args() + + init_logging(args.log_file, args.log_level) + + match args.command: + case PKoffeCommands.ANALYZE: + analyze(args) + case PKoffeCommands.PLOT: + try: + import pkoffee.visualization # noqa: PLC0415 import at run-time to allow users to not install those dependencies + except ImportError as e: + raise MissingVisualizationDependenciesError from e + + pkoffee.visualization.visualize(args) + case _: + raise UnsupportedCommandError(args.command) + + +if __name__ == "__main__": + main() diff --git a/src/pkoffee/data.py b/src/pkoffee/data.py new file mode 100644 index 0000000..e47071a --- /dev/null +++ b/src/pkoffee/data.py @@ -0,0 +1,165 @@ +"""Data loading and preprocessing utilities for coffee productivity analysis.""" + +import errno +import logging +import os +from enum import StrEnum +from pathlib import Path +from typing import TypeVar + +import numpy as np +import pandas as pd + +data_dtype = np.float32 +neg_inf = -data_dtype(np.inf) +pos_inf = data_dtype(np.inf) +accumulator_dtype = np.float64 + +AnyShapeDataDtypeArray = TypeVar("AnyShapeDataDtypeArray", bound=np.ndarray[tuple[int, ...], np.dtype[data_dtype]]) + + +class RequiredColumn(StrEnum): + """Required Columns in the coffe productivity CSV data.""" + + CUPS = "cups" + PRODUCTIVITY = "productivity" + + +class CSVReadError(RuntimeError): + """Exception for data input failure.""" + + def __init__(self, filepath: Path) -> None: + super().__init__(f"Failed to read CSV file: {filepath}") + + +class MissingColumnsError(ValueError): + """Exception for missing required columns in data.""" + + def __init__(self, missing_columns: set[RequiredColumn]) -> None: + missing_columns_str = {col.value for col in missing_columns} + super().__init__(f"Missing required columns: {missing_columns_str}") + + +class ColumnTypeError(ValueError): + """Exception for invalid column type.""" + + def __init__(self, col: RequiredColumn, dtype: np.dtype) -> None: + super().__init__(f"Column {col.value} must contain numeric values, but found dtype {dtype}") + + +def validate(data: pd.DataFrame) -> None: + """Validate `data` content by checking column presence and types. + + Parameters + ---------- + data : pd.DataFrame + Panda Dataframe to validate. + + Raises + ------ + MissingColumnsError + If a required column is missing from the DataFrame. + ColumnTypeError + If a required column has an invalid type. Required columns are expected to have a numerical type. + """ + # Check for missing columns + missing_columns = {col for col in RequiredColumn if col.value not in data.columns} + if missing_columns: + raise MissingColumnsError(missing_columns) + # Check for invalid column type. + for col in RequiredColumn: + if not pd.api.types.is_numeric_dtype(data[col]): + raise ColumnTypeError(col, data.dtypes[col]) + + +def curate(data: pd.DataFrame) -> pd.DataFrame: + """Curate `data` by removing rows with `NaN` values. + + Parameters + ---------- + data : pd.DataFrame + DataFrame content to curate. + + Returns + ------- + pd.DataFrame + The curated DataFrame, possibly with removed rows. + """ + # Remove any rows with NaN values + initial_size = len(data) + curated_data = data.dropna(subset=list(RequiredColumn)).reset_index(drop=True) + if len(data) < initial_size: + logger = logging.getLogger(__name__) + logger.warning("Dropped %s rows due to NaN values", initial_size - len(data)) + return curated_data + + +def load_csv(filepath: Path) -> pd.DataFrame: + r"""Load coffee productivity data from a CSV file. + + Parameters + ---------- + filepath : str or Path + Path to the CSV file containing the data. + Expected columns: 'cups' (int) and 'productivity' (float). + + Returns + ------- + pd.DataFrame + DataFrame with validated columns 'cups' and 'productivity'. + + Raises + ------ + CSVReadError + If the CSV reading fails + ColumnTypeError + If required columns contain invalid data. + FileNotFoundError + If the specified data file does not exist. + MissingColumnsError + If required columns are missing. + + Examples + -------- + >>> prod_data = load_csv(Path("coffee_productivity.csv")) # doctest: +SKIP + >>> print(prod_data.head()) # doctest: +SKIP + cups productivity + 0 1 2.1 + """ + if not filepath.exists(): + raise FileNotFoundError(errno.ENOENT, os.strerror(errno.ENOENT), filepath) + + try: + data = pd.read_csv(filepath) + except Exception as e: + raise CSVReadError(filepath) from e + + validate(data) + return curate(data) + + +def extract_arrays( + data: pd.DataFrame, +) -> tuple[np.ndarray[tuple[int], np.dtype[data_dtype]], np.ndarray[tuple[int], np.dtype[data_dtype]]]: + """Extract cups and productivity as numpy arrays from a DataFrame. + + Parameters + ---------- + data : pd.DataFrame + DataFrame containing 'cups' and 'productivity' columns. + + Returns + ------- + tuple[np.ndarray, np.ndarray] + Tuple of (cups, productivity) as float arrays. + + Examples + -------- + >>> data = pd.DataFrame({"cups": [1, 3, 5], "productivity": [0.3, 1.5, 0.8]}) + >>> cups, productivity = extract_arrays(data) + >>> print(cups.shape, productivity.shape) + (3,) (3,) + """ + cups = data[RequiredColumn.CUPS].to_numpy(dtype=data_dtype) + productivity = data[RequiredColumn.PRODUCTIVITY].to_numpy(dtype=data_dtype) + return cups, productivity diff --git a/src/pkoffee/fit_model.py b/src/pkoffee/fit_model.py new file mode 100644 index 0000000..5c5847e --- /dev/null +++ b/src/pkoffee/fit_model.py @@ -0,0 +1,250 @@ +"""Mathematical models for coffee productivity relationships. + +This module provides various parametric models that can be fitted to +coffee consumption vs productivity data. +""" + +from collections.abc import Mapping +from dataclasses import dataclass +from typing import Self + +import numpy as np +from scipy.optimize import curve_fit + +from pkoffee.data import AnyShapeDataDtypeArray, data_dtype +from pkoffee.metrics import compute_r2 +from pkoffee.parametric_function import ( + ParametersBounds, + ParametricFunction, +) + + +class FunctionNotFoundInMappingError(KeyError): + """Exception when a function is not found in the function to str mapping.""" + + def __init__(self, function: type[ParametricFunction], mapping: Mapping) -> None: + super().__init__(f"Function {function} not found in function to str mapping {mapping}") + + +class FunctionIdNotFoundInMappingError(KeyError): + """Exception when a function Identifier is not found in the function Id to function mapping.""" + + def __init__(self, function_id: str, mapping: Mapping) -> None: + super().__init__(f"Function Identifier {function_id} not found in mapping to function {mapping}") + + +class ModelParsingError(ValueError): + """Exception when a model dictionary representation can not be parsed into a model.""" + + def __init__(self, model_dict: Mapping) -> None: + super().__init__(f"Could not parse model dictionary {model_dict}, missing fields or bad types?") + + +@dataclass +class Model: + """Model defined by a prediction function, parameters and parameter's bounds. + + Attributes + ---------- + name : str + Name of the model + function : ParametricFunction + The model prediction function + params : tuple[data_types] + Model parameters passed to the predict function + bounds : ParametersBounds + Boundary values for the model parameters. + """ + + name: str + function: ParametricFunction + params: dict[str, data_dtype] + bounds: ParametersBounds + r_squared: data_dtype = -data_dtype(np.inf) + + def predict(self, x: AnyShapeDataDtypeArray) -> AnyShapeDataDtypeArray: + """Evaluate the model on input `x`. + + Parameters + ---------- + x : np.ndarray + The model input as 1D array. + + Returns + ------- + np.ndarray + Prediction of the model, same shape as `x`. + """ + return self.function(x, **self.params) + + def __repr__(self) -> str: + """Return a formatted string representation of the model result.""" + return f"ModelFit(name='{self.name}', R²={self.r_squared:.3f})" + + @classmethod + def sort(cls, models: list[Self]) -> None: + """Sort `models` by R² (descending), in-place. + + Parameters + ---------- + models : list[Self] + List of models to sort by R² + """ + models.sort( + key=lambda r: r.r_squared if np.isfinite(r.r_squared) else -np.inf, + reverse=True, + ) + + def to_dict(self, function_to_str: Mapping) -> dict: + """Convert model to pure python dictionary representation of the model. + + Numbers are converted to python's floats, and the function is encoded as a string according to + `function_to_str`. + + Parameters + ---------- + function_to_str : Mapping + Dict mapping function classes to a string identifier. Ex: {pkoffee.fit_model.Quadratic: "quadratic"} + + Returns + ------- + dict + Dictionary representation of a model. + + Examples + -------- + >>> from pkoffee.data import data_dtype + >>> from pkoffee.fit_model_io import pkoffee_function_id_mapping, Quadratic + >>> def_quad = Model( + ... name="DefaultQuadratic", + ... function=Quadratic(), + ... params=Quadratic.param_guess(y_min=data_dtype(0.5)), + ... bounds=Quadratic.param_bounds(), + ... ) + >>> def_quad.to_dict(pkoffee_function_id_mapping().inv) + {'name': 'DefaultQuadratic', 'function': 'Quadratic', 'params': {'a0': 0.5, 'a1': 0.0, 'a2': 0.009999999776482582}, 'bounds': {'min': {'a0': -inf, 'a1': -inf, 'a2': -inf}, 'max': {'a0': inf, 'a1': inf, 'a2': inf}}, 'r_squared': -inf} + """ # noqa: E501 doctest string is too large + try: + return { + "name": self.name, + "function": function_to_str[type(self.function)], + "params": {p: float(v) for p, v in self.params.items()}, + "bounds": { + "min": {p: float(v) for p, v in self.bounds.min.items()}, + "max": {p: float(v) for p, v in self.bounds.max.items()}, + }, + "r_squared": float(self.r_squared), + } + except KeyError as e: + raise FunctionNotFoundInMappingError(type(self.function), function_to_str) from e + + @classmethod + def from_dict(cls, d: Mapping, str_to_function: Mapping) -> Self: + """Create a model from a dictionary representation. + + Parameters + ---------- + d : Mapping + Mapping representation of a Model as return by `Model.to_dict` + str_to_function : Mapping + Mapping function identifiers to actual function classes + + Returns + ------- + Self + Model instance + + Examples + -------- + >>> from pkoffee.fit_model_io import pkoffee_function_id_mapping + >>> Model.from_dict( + ... { + ... "name": "TestQuadratic", + ... "function": "Quadratic", + ... "params": {"a": 1.0, "b": 0.0, "c": 0.5}, + ... "bounds": {"min": {"a": -5.0, "b": -2.0, "c": -1.0}, "max": {"a": 5.0, "b": 2.0, "c": 1.0}}, + ... "r_squared": 0.22, + ... }, + ... pkoffee_function_id_mapping(), + ... ) + ModelFit(name='TestQuadratic', R²=0.220) + """ + try: + function_id = d["function"] + try: + param_function = str_to_function[function_id]() + except KeyError as e: + raise FunctionIdNotFoundInMappingError(d["function"], str_to_function) from e + return cls( + name=d["name"], + function=param_function, + params={p: data_dtype(v) for p, v in d["params"].items()}, + bounds=ParametersBounds( + min={p: data_dtype(v) for p, v in d["bounds"]["min"].items()}, + max={p: data_dtype(v) for p, v in d["bounds"]["max"].items()}, + ), + r_squared=data_dtype(d["r_squared"]), + ) + except FunctionIdNotFoundInMappingError: + raise + except (KeyError, ValueError) as e: + raise ModelParsingError(d) from e + + +def fit_model( + x: np.ndarray, + y: np.ndarray, + model: Model, + max_iterations: int = 20000, +) -> tuple[Model, np.ndarray]: + """Fit a single model to the data. + + Parameters + ---------- + x : np.ndarray + Input data (independent variable) + y : np.ndarray + Output data (dependent variable) + model : Model + Model including function and parameters + max_iterations : int, optional + Maximum number of optimization iterations, by default 20000 + + Returns + ------- + tuple[FittedModel, np.ndarray] + tuple with Fitted model and predictions on training data + + Raises + ------ + ValueError + If either x or y contain NaNs. + RuntimeError + If the least-squares minimization fails. + """ + params = model.params.keys() + optimal_params, _ = curve_fit( + model.function, + x, + y, + p0=list(model.params.values()), # same order as params + bounds=( + tuple(model.bounds.min[p] for p in params), + tuple(model.bounds.max[p] for p in params), + ), # converting to tuples while respecting params order + maxfev=max_iterations, + ) + predictions = model.function(x, *optimal_params) + r_squared = compute_r2(y, predictions) + return ( + Model( + model.name, + function=model.function, + params=dict( + zip(model.params.keys(), optimal_params, strict=True) + ), # build back dictionary of parameters from values, the order is the same as the params of model + bounds=model.bounds, + r_squared=r_squared, + ), + predictions, + ) diff --git a/src/pkoffee/fit_model_io.py b/src/pkoffee/fit_model_io.py new file mode 100644 index 0000000..1545432 --- /dev/null +++ b/src/pkoffee/fit_model_io.py @@ -0,0 +1,207 @@ +"""Input/Output for models. + +A model's `ParametricFunction` is not directly saved, only an identifier string is written to file. In order to +reconstruct the model from the file, the same mapping from function to identifier needs to be available. This module +implements a function returning a bidirectional mapping for the `ParametricFunction` implemented in the `pkoffeee` +package. This mapping can be extended with additional functions to save other models. +""" + +import json +from collections.abc import Iterable, Mapping +from enum import StrEnum +from pathlib import Path + +import tomlkit +from bidict import bidict +from tomlkit import aot, document, item + +from pkoffee.fit_model import Model +from pkoffee.parametric_function import ( + Logistic, + MichaelisMentenSaturation, + Peak2Model, + PeakModel, + Quadratic, +) + + +def pkoffee_function_id_mapping() -> bidict: + """Bidirectional mapping from string Identifiers to the ParametricFunctions implemented in `pkoffee`.""" + return bidict( + { + "Quadratic": Quadratic, + "MichaelisMentenSaturation": MichaelisMentenSaturation, + "Logistic": Logistic, + "PeakModel": PeakModel, + "Peak2Model": Peak2Model, + } + ) + + +class UnsupportedModelFormatError(NotImplementedError): + """Exception for non-implemented model file format.""" + + def __init__(self, file_format: str) -> None: + super().__init__(f"Model format {file_format} not supported. See ModelFileFormat.") + + +class ModelFileFormat(StrEnum): + """Available format for saving models to file.""" + + TOML = "toml" + JSON = "json" + + +def file_format_from_path(file_path: Path) -> ModelFileFormat: + """Determine models's file format from a file path extension. + + Parameters + ---------- + file_path : Path + Path to a file, eg "model.toml" + + Returns + ------- + ModelFileFormat + File format + + Raises + ------ + UnsupportedModelFormatError + If the file format is not supported + """ + try: + return ModelFileFormat(file_path.suffix[1:]) # remove '.' from suffix + except KeyError as e: + raise UnsupportedModelFormatError(file_path.suffix) from e + + +def save_models_json(model_dicts: Iterable[dict], output_path: Path) -> None: + """Save the model dictionary representation to a json file. + + Parameters + ---------- + model_dicts : Iterable[dict] + Models dictionary representation + output_path : Path + Path to save the models + """ + with output_path.open("w") as of: + of.write(json.dumps({"Models": model_dicts})) + + +def save_models_toml(model_dicts: Iterable[dict], output_path: Path) -> None: + """Save the model dictionaries representation to a toml file. + + Parameters + ---------- + model_dicts : Iterable[dict] + Models dictionary representation + output_path : Path + Path to save the models + """ + toml_doc = document() + models_array = aot() + for md in model_dicts: + models_array.append(item(md)) + toml_doc.append("Models", models_array) + with output_path.open("w") as of: + of.write(toml_doc.as_string()) + + +def save_models( + models: Iterable[Model], function_to_str: Mapping, output_path: Path, file_format: ModelFileFormat | None = None +) -> None: + """Save the models to disk. + + Parameters + ---------- + models : Iterable[Model] + Collection of models to save + function_to_str : Mapping + Mapping of function to string identifier used as function representation in the model's file. + output_path : Path + Path to the model's file. + file_format : ModelFileFormat + The format of the model's file + """ + if file_format is None: + file_format = file_format_from_path(output_path) + model_dicts = [m.to_dict(function_to_str) for m in models] + match file_format: + case ModelFileFormat.JSON: + save_models_json(model_dicts, output_path) + case ModelFileFormat.TOML: + save_models_toml(model_dicts, output_path) + case _: + raise UnsupportedModelFormatError(str(file_format)) + + +def load_models_json(model_file: Path, str_to_function: Mapping) -> list[Model]: + """Load models from json file. + + Parameters + ---------- + model_file : Path + Path to the models' file + str_to_function : Mapping + Mapping of function string identifier to function classes + + Returns + ------- + list[Model] + Loaded models + """ + with model_file.open("r") as mdlf: + models_dict = json.loads(mdlf.read())["Models"] + return [Model.from_dict(m_d, str_to_function) for m_d in models_dict] + + +def load_models_toml(model_file: Path, str_to_function: Mapping) -> list[Model]: + """Load models from toml file. + + Parameters + ---------- + model_file : Path + Path to the models' file + str_to_function : Mapping + Mapping of function string identifier to function classes + + Returns + ------- + list[Model] + Loaded models + """ + with model_file.open("r") as mdlf: + models_dict = tomlkit.parse(mdlf.read())["Models"] + return [Model.from_dict(m_d, str_to_function) for m_d in models_dict] # pyright: ignore[reportGeneralTypeIssues] models_dict is iterable alright + + +def load_models( + model_file: Path, str_to_function: Mapping, file_format: ModelFileFormat | None = None +) -> list[Model]: + """Load models from file. + + Parameters + ---------- + model_file : Path + Path to the model's file + str_to_function : Mapping + Mapping of function string identifier to function classes + file_format : ModelFileFormat + Format of the model file + + Returns + ------- + list[Model] + Loaded models + """ + if file_format is None: + file_format = file_format_from_path(model_file) + match file_format: + case ModelFileFormat.JSON: + return load_models_json(model_file, str_to_function) + case ModelFileFormat.TOML: + return load_models_toml(model_file, str_to_function) + case _: + raise UnsupportedModelFormatError(str(file_format)) diff --git a/src/pkoffee/log.py b/src/pkoffee/log.py new file mode 100644 index 0000000..6f75df9 --- /dev/null +++ b/src/pkoffee/log.py @@ -0,0 +1,83 @@ +"""Logging utils.""" + +import logging +import sys +from enum import Enum +from pathlib import Path +from types import TracebackType +from typing import Self + + +class LogLevelError(KeyError): + """Error type for unsupported log levels.""" + + def __init__(self, s: str) -> None: + super().__init__(f"LogLevel '{s}' doesn't exist.") + + +class LogLevel(Enum): + """Log Level Enumeration.""" + + NOTSET = logging.NOTSET + DEBUG = logging.DEBUG + INFO = logging.INFO + WARNING = logging.WARNING + ERROR = logging.ERROR + CRITICAL = logging.CRITICAL + + def __str__(self) -> str: # noqa: D105 docstring of __str__ isn't required: it must match the standard library's + return self.name + + @classmethod + def from_string(cls, s: str) -> Self: + """Instantiate a LogLevel from a string.""" + try: + return cls[s] + except KeyError as exc: + raise LogLevelError(s) from exc + + +def log_uncaught_exceptions() -> None: + """Make all uncaught exception to be logged by the default logger. + + Keyboard exceptions and children classes are not logged so one can kill the program with ctr+C. + """ + + def handle_exception( + exc_type: type[BaseException], exc_value: BaseException, exc_traceback: TracebackType | None + ) -> None: + if not issubclass(exc_type, KeyboardInterrupt): + logger = logging.getLogger(__name__) + logger.critical("Uncaught exception", exc_info=(exc_type, exc_value, exc_traceback)) + + sys.__excepthook__(exc_type, exc_value, exc_traceback) + + sys.excepthook = handle_exception + + +def init_logging(log_file: Path | None, log_level: LogLevel) -> None: + """(Re-)initialize all loggers. + + Configure the logger to `log_file` if it is not None, otherwise logging will go to standard output/error. + Warnings and uncaught errors will also be automatically be logged. + + Parameters + ---------- + log_file : Path | None + Filename to write the log to. Default is None, in which case the log goes to standard output/error. + log_level : str | None + Logging level. Default is None, in which case the default of `logging` is used (WARNING). + """ + logging.captureWarnings(True) # log all warnings from the warnings module. # noqa: FBT003 API is not ours + log_uncaught_exceptions() # log all uncaught exceptions as well + + logging_format = "%(asctime)s [%(levelname)s] %(name)s:%(lineno)s:%(funcName)s %(message)s" + handlers = [logging.FileHandler(log_file)] if log_file is not None else [logging.StreamHandler()] + logging.basicConfig( + level=log_level.value, + format=logging_format, + handlers=handlers, + force=True, + ) + logger = logging.getLogger(__name__) + logger.info("Logging configured - start logging") diff --git a/src/pkoffee/metrics.py b/src/pkoffee/metrics.py new file mode 100644 index 0000000..b33513a --- /dev/null +++ b/src/pkoffee/metrics.py @@ -0,0 +1,143 @@ +"""Model evaluation metrics for assessing fit quality.""" + +import numpy as np + +from pkoffee.data import accumulator_dtype, data_dtype + + +class SizeMismatchError(ValueError): + """Exception for data input failure.""" + + def __init__(self, size_a: int, size_b: int) -> None: + super().__init__(f"Arrays must have same length, got {size_a} and {size_b}") + + +def check_size_match(array_a: np.ndarray, array_b: np.ndarray) -> None: + """Check that 2 array have the same size, throw SizeMismatchError if not. + + Parameters + ---------- + array_a : np.ndarray + First array + array_b : np.ndarray + Second array + + Raises + ------ + SizeMismatchError + If the two arrays sizes aren't equal. + """ + if len(array_a) != len(array_b): + raise SizeMismatchError(len(array_a), len(array_b)) + + +def compute_r2(y_true: np.ndarray, y_pred: np.ndarray) -> data_dtype: + """Calculate the coefficient of determination (R² score). + + R² indicates the proportion of variance in the dependent variable + that is predictable from the independent variable(s). + + Parameters + ---------- + y_true : np.ndarray + True observed values. + y_pred : np.ndarray + Predicted values from the model. + + Returns + ------- + float + R² score. Values closer to 1.0 indicate better fit. + Can be negative for very poor fits. + + Notes + ----- + R² = 1 - (SS_res / SS_tot) + where: + SS_res = Σ(y_true - y_pred)² (residual sum of squares) + SS_tot = Σ(y_true - ȳ)² (total sum of squares) + + Examples + -------- + >>> y_true = np.array([1.0, 2.0, 3.0, 4.0]) + >>> y_pred = np.array([1.1, 1.9, 3.1, 3.9]) + >>> r2 = compute_r2(y_true, y_pred) + >>> print(f"R² = {r2:.4f}") + R² = 0.9920 + """ + y_true = np.asarray(y_true, dtype=data_dtype) + y_pred = np.asarray(y_pred, dtype=data_dtype) + + check_size_match(y_true, y_pred) + + residual_sum_of_squares = data_dtype(np.sum((y_true - y_pred) ** 2, dtype=accumulator_dtype)) + total_sum_of_squares = data_dtype(np.sum((y_true - np.mean(y_true)) ** 2, dtype=accumulator_dtype)) + + if total_sum_of_squares == 0: + return data_dtype(np.nan) + + return data_dtype(1.0 - (residual_sum_of_squares / total_sum_of_squares)) + + +def compute_rmse(y_true: np.ndarray, y_pred: np.ndarray) -> data_dtype: + """ + Calculate Root Mean Squared Error (RMSE). + + Parameters + ---------- + y_true : np.ndarray + True observed values. + y_pred : np.ndarray + Predicted values from the model. + + Returns + ------- + float + RMSE value. Lower is better, 0 is perfect fit. + + Examples + -------- + >>> y_true = np.array([1.0, 2.0, 3.0, 4.0]) + >>> y_pred = np.array([1.1, 1.9, 3.1, 3.9]) + >>> rmse = compute_rmse(y_true, y_pred) + >>> print(f"RMSE = {rmse:.4f}") + RMSE = 0.1000 + """ + y_true = np.asarray(y_true, dtype=data_dtype) + y_pred = np.asarray(y_pred, dtype=data_dtype) + + check_size_match(y_true, y_pred) + + mse = np.mean((y_true - y_pred) ** 2, dtype=accumulator_dtype) + return data_dtype(np.sqrt(mse)) + + +def compute_mae(y_true: np.ndarray, y_pred: np.ndarray) -> data_dtype: + """Calculate Mean Absolute Error (MAE). + + Parameters + ---------- + y_true : np.ndarray + True observed values. + y_pred : np.ndarray + Predicted values from the model. + + Returns + ------- + float + MAE value. Lower is better, 0 is perfect fit. + + Examples + -------- + >>> y_true = np.array([1.0, 2.0, 3.0, 4.0]) + >>> y_pred = np.array([1.1, 1.9, 3.1, 3.9]) + >>> mae = compute_mae(y_true, y_pred) + >>> print(f"MAE = {mae:.4f}") + MAE = 0.1000 + """ + y_true = np.asarray(y_true, dtype=data_dtype) + y_pred = np.asarray(y_pred, dtype=data_dtype) + + check_size_match(y_true, y_pred) + + return data_dtype(np.mean(np.abs(y_true - y_pred), dtype=accumulator_dtype)) diff --git a/src/pkoffee/parametric_function.py b/src/pkoffee/parametric_function.py new file mode 100644 index 0000000..f26cb9d --- /dev/null +++ b/src/pkoffee/parametric_function.py @@ -0,0 +1,420 @@ +"""Parametric functions. + +This module provides functions with signature f(x, *args, **kwargs), where `x` is the function's input and the other +arguments are the function parameters. Functions also provide guesses and boundaries for parameter values. +""" + +from typing import NamedTuple, ParamSpec, Protocol, runtime_checkable + +import numpy as np + +from pkoffee.data import AnyShapeDataDtypeArray, data_dtype, neg_inf, pos_inf + + +class ParametersBounds(NamedTuple): + """Store the minimum and maximum bounds. + + Attributes + ---------- + min : dict[str, data_dtype] + Minimum bounds + max : dict[str, data_dtype] + Maximum bounds + """ + + min: dict[str, data_dtype] + max: dict[str, data_dtype] + + +AnyDataDtypeArgsKwargs = ParamSpec("AnyDataDtypeArgsKwargs", bound=data_dtype) # pyright: ignore[reportGeneralTypeIssues] bound parameter exists. +AnyArgsKwargs = ParamSpec("AnyArgsKwargs") + + +@runtime_checkable +class ParametricFunction(Protocol[AnyShapeDataDtypeArray, AnyDataDtypeArgsKwargs, AnyArgsKwargs]): + """Parametric function API.""" + + def __call__( + self, x: AnyShapeDataDtypeArray, *args: AnyDataDtypeArgsKwargs.args, **kwargs: AnyDataDtypeArgsKwargs.kwargs + ) -> AnyShapeDataDtypeArray: + """Evaluate the parametric function on input `x` with parameters values passed with `*args` and `**kwargs`. + + Parameters + ---------- + x : AnyShapeDataDtypeArray + The input to the function, an array of any shape, of dtype `data_dtype`. + + Returns + ------- + AnyShapeDataDtypeArray + Output of the function at `x`. + """ + ... + + @classmethod + def param_guess(cls, *args: AnyArgsKwargs.args, **kwargs: AnyArgsKwargs.kwargs) -> dict[str, data_dtype]: + """Guess values of the `ParametricFunction` parameters. + + The guess values can typically be used as starting values for a fit of the parameters. + + The guesses may require some information about the data (eg. range, min/max values) therefore this method is + allowed to take any input. + + Returns + ------- + dict[str, data_dtype] + Dictionary mapping parameter names to guessed values. + """ + ... + + @classmethod + def param_bounds(cls) -> ParametersBounds: + """Min/max values of the `ParametricFunction` parameters. + + The `ParametersBound` dictionaries' keys are the parameters' names. + + Returns + ------- + ParametersBounds + min/max values of the parameters. + """ + ... + + +class Quadratic: + """Quadratic (polynomial) function: f(x) = a₀ + a₁x + a₂x². + + References + ---------- + 1. Wikipedia contributors. (2025, September 16). Quadratic function. In Wikipedia, The Free Encyclopedia. + Retrieved 19:28, December 1, 2025, + from https://en.wikipedia.org/w/index.php?title=Quadratic_function&oldid=1311755644 + """ + + def __call__( + self, x: AnyShapeDataDtypeArray, a0: data_dtype, a1: data_dtype, a2: data_dtype + ) -> AnyShapeDataDtypeArray: + """Evaluate the quadratic function at each point in `x`. + + Parameters + ---------- + x : AnyShapeDataDtypeArray + Input values + a0 : data_dtype + Constant term + a1 : data_dtype + Linear coefficient + a2 : data_dtype + Quadratic coefficient + + Returns + ------- + AnyShapeDataDtypeArray + QuadraticFunction value at each point in `x`. + """ + return a0 + a1 * x + a2 * x**2 # type: ignore[reportReturnType] return type is data_dtype alright + + @classmethod + def param_guess(cls, y_min: data_dtype) -> dict[str, data_dtype]: + """Parameter guesses for a fit starting values. + + The linear coefficient guess is 0.0, and the quadratic coefficient 0.01. The constant term guess is the + minimum value of the predictions in the data points: if modeling y = a₀ + a₁x + a₂x², then min(y). + + Parameters + ---------- + y_min : data_dtype + The minimal value of the predictions. + + Returns + ------- + dict[str, data_dtype] + Dictionary mapping parameter names to guesses. + """ + return {"a0": y_min, "a1": data_dtype(0.0), "a2": data_dtype(0.01)} + + @classmethod + def param_bounds(cls) -> ParametersBounds: + """Boundary values for the `QuadraticFunction.""" + params = ["a0", "a1", "a2"] + return ParametersBounds(min=dict.fromkeys(params, neg_inf), max=dict.fromkeys(params, pos_inf)) + + +class MichaelisMentenSaturation: + """Michaelis-Menten (saturating) model: f(x) = y₀ + Vₘₐₓ·x/(K + x). + + This model describes saturation behavior common in enzyme kinetics + and can represent diminishing returns. + + References + ---------- + 1. Wikipedia contributors. (2025, December 1). Michaelis-Menten kinetics. In Wikipedia, The Free Encyclopedia. + Retrieved 19:32, December 1, 2025, + from https://en.wikipedia.org/w/index.php?title=Michaelis%E2%80%93Menten_kinetics&oldid=1325118298 + """ + + def __call__( + self, x: AnyShapeDataDtypeArray, v_max: data_dtype, k: data_dtype, y0: data_dtype + ) -> AnyShapeDataDtypeArray: + """Evaluate the MichaelisMenten Function in each point in `x`. + + Parameters + ---------- + x : AnyShapeDataDtypeArray + Input values + v_max : data_dtype + Maximum rate/value + k : data_dtype + Half-saturation constant (Michaelis constant) + y0 : data_dtype + Baseline offset + + Returns + ------- + AnyShapeDataDtypeArray + MichaelisMenten function value at each point in `x`. + """ + return y0 + v_max * (x / np.maximum(k + x, 1e-9)) # type: ignore[reportReturnType] return type is data_dtype alright + + @classmethod + def param_guess( + cls, x_min: data_dtype, x_max: data_dtype, y_min: data_dtype, y_max: data_dtype + ) -> dict[str, data_dtype]: + """Parameter guesses for a fit initial values. + + x are the function input values, y the predictions in the data points. `v_max` guess is the prediction range, + `k` the input value at mid-growth is guessed as the input value at 20% of the input range, `y0`'s guess is the + minimum input value. + + Parameters + ---------- + x_min : data_dtype + Maximum input value + x_max : data_dtype + Maximum input value + y_min : data_dtype + Minimum prediction value + y_max : data_dtype + Maximum prediction value + + Returns + ------- + dict[str, data_dtype] + Dictionary mapping parameter names to guesses. + """ + return { + "v_max": max(data_dtype(1e-8), y_max - y_min), + "k": max(data_dtype(1.0), 0.2 * (x_min + x_max)), + "y0": y_min, + } + + @classmethod + def param_bounds(cls) -> ParametersBounds: + """Boundary values for the `MichaelisMentenSaturation`.""" + return ParametersBounds( + min={"v_max": neg_inf, "k": data_dtype(0.0), "y0": neg_inf}, + max=dict.fromkeys(["v_max", "k", "y0"], pos_inf), + ) + + +class Logistic: + """Logistic (sigmoid) model: f(x) = y₀ + L/(1 + e^(-k(x - x₀))). + + Models S-shaped growth with lower and upper asymptotes. + + References + ---------- + 1. Wikipedia contributors. (2025, November 29). Logistic regression. In Wikipedia, The Free Encyclopedia. + Retrieved 19:34, December 1, 2025, + from https://en.wikipedia.org/w/index.php?title=Logistic_regression&oldid=1324697470 + """ + + def __call__( + self, + x: AnyShapeDataDtypeArray, + L: data_dtype, # noqa: N803 L ok as argument name to follow reference + k: data_dtype, + x0: data_dtype, + y0: data_dtype, + ) -> AnyShapeDataDtypeArray: + """Evaluate the `Logistic` function at each point in `x`. + + Parameters + ---------- + x : AnyShapeDataDtypeArray + Input values + L : data_dtype + Maximum value of the curve (carrying capacity) + k : data_dtype + Steepness of the curve + x0 : data_dtype + Midpoint (inflection point) of the sigmoid + y0 : data_dtype + Minimum value (lower asymptote) + + Returns + ------- + AnyShapeDataDtypeArray + Logistic function value at each point in `x`. + """ + return y0 + L / (1.0 + np.exp(-k * (x - x0))) # type: ignore[reportReturnType] return type is data_dtype alright + + @classmethod + def param_guess( + cls, x_min: data_dtype, x_max: data_dtype, y_min: data_dtype, y_max: data_dtype + ) -> dict[str, data_dtype]: + """Parameter guesses for a fit initial values. + + x are the function input values, y the predictions in the data points. `L` is typically close to the + prediction values range, `k` controls the width of the transition interval between the 2 asymptotes (guess is + 0.5), `x0` the midpoint is in the middle of the input values distributions, `y0` the lower asymptote should be + close to the minimum of the predictions. + + Parameters + ---------- + x_min : data_dtype + Minimum input value + x_max : data_dtype + Maximum input value + y_min : data_dtype + Minimum prediction value + y_max : data_dtype + Maximum prediction value + + Returns + ------- + dict[str, data_dtype] + Dictionary mapping parameter names to guesses. + """ + return { + "L": max(data_dtype(1e-8), y_max - y_min), + "k": data_dtype(0.5), + "x0": 0.5 * (x_min + x_max), + "y0": y_min, + } + + @classmethod + def param_bounds(cls) -> ParametersBounds: + """Boundary values for the `Logistic`.""" + return ParametersBounds( + min={"L": neg_inf, "k": data_dtype(0.0), "x0": neg_inf, "y0": neg_inf}, + max=dict.fromkeys(["L", "k", "x0", "y0"], pos_inf), + ) + + +class PeakModel: + """Peak model (gamma-like): f(x) = a·x·e^(-x/b). + + Models a single peak with exponential decay, useful for + representing optimal consumption with negative effects beyond peak. + + References + ---------- + 1. Wikipedia contributors. (2025, November 4). Gamma distribution. In Wikipedia, The Free Encyclopedia. + Retrieved 19:38, December 1, 2025, + from https://en.wikipedia.org/w/index.php?title=Gamma_distribution&oldid=1320436343 + """ + + def __call__(self, x: AnyShapeDataDtypeArray, a: data_dtype, b: data_dtype) -> AnyShapeDataDtypeArray: + """Evaluate `PeakModel` function at each point in `x`. + + Parameters + ---------- + x : AnyShapeDataDtypeArray + Input values + a : data_dtype + Amplitude scaling factor + b : data_dtype + Decay rate parameter + + Returns + ------- + AnyShapeDataDtypeArray + `PeakModel` values at each point in `x` + """ + return a * x * np.exp(-x / np.maximum(b, 1e-9)) + + @classmethod + def param_guess(cls, x_min: data_dtype, x_max: data_dtype, y_max: data_dtype) -> dict[str, data_dtype]: + """Parameter guesses for a fit initial values. + + x are the function input values, y the predictions in the data points. `a`'s guess is the maximum prediction + value, `b` guess is the middle point of the input value range. + + Parameters + ---------- + x_min : data_dtype + Minimum input value + x_max : data_dtype + Maximum input value + y_max : data_dtype + Maximum prediction value + + Returns + ------- + dict[str, data_dtype] + Dictionary mapping parameter names to guesses. + """ + return {"a": y_max, "b": max(data_dtype(1.0), 0.5 * (x_min + x_max))} + + @classmethod + def param_bounds(cls) -> ParametersBounds: + """Boundary values for the `Logistic`.""" + return ParametersBounds(min={"a": neg_inf, "b": data_dtype(0.0)}, max=dict.fromkeys(["a", "b"], pos_inf)) + + +class Peak2Model: + """Quadratic peak model: f(x) = a·x²·e^(-x/b). + + Similar to `PeakModel` but with quadratic growth before decay. + """ + + def __call__(self, x: AnyShapeDataDtypeArray, a: data_dtype, b: data_dtype) -> AnyShapeDataDtypeArray: + """Evaluate `Peak2Model` at each point in `x`. + + Parameters + ---------- + x : AnyShapeDataDtypeArray + Input values + a : data_dtype + Amplitude scaling factor + b : data_dtype + Decay rate parameter + + Returns + ------- + AnyShapeDataDtypeArray + `Peak2Model` values at each point in `x`. + """ + return a * (x**2) * np.exp(-x / np.maximum(b, 1e-9)) + + @classmethod + def param_guess(cls, x_min: data_dtype, x_max: data_dtype, y_max: data_dtype) -> dict[str, data_dtype]: + """Parameter guesses for a fit initial values. + + x are the function input values, y the predictions in the data points. `a`'s guess is the maximum prediction + value divided by the maximum input value squared, `b` guess is the middle point of the input value range. + + Parameters + ---------- + x_min : data_dtype + Minimum input value + x_max : data_dtype + Maximum input value + y_max : data_dtype + Maximum prediction value + + Returns + ------- + dict[str, data_dtype] + Dictionary mapping parameter names to guesses. + """ + return { + "a": max(data_dtype(1e-6), y_max / max(1.0, x_max**2)), + "b": max(data_dtype(1.0), 0.5 * (x_min + x_max)), + } + + @classmethod + def param_bounds(cls) -> ParametersBounds: + """Boundary values for the `Logistic`.""" + return ParametersBounds(min={"a": neg_inf, "b": data_dtype(0.0)}, max=dict.fromkeys(["a", "b"], pos_inf)) diff --git a/src/pkoffee/productivity_analysis.py b/src/pkoffee/productivity_analysis.py new file mode 100644 index 0000000..fcddffc --- /dev/null +++ b/src/pkoffee/productivity_analysis.py @@ -0,0 +1,191 @@ +"""Coffee Productivity analysis module.""" + +import argparse +import logging + +import numpy as np +import pandas as pd + +from pkoffee.data import data_dtype, extract_arrays, load_csv +from pkoffee.fit_model import Model, fit_model +from pkoffee.fit_model_io import pkoffee_function_id_mapping, save_models +from pkoffee.parametric_function import Logistic, MichaelisMentenSaturation, Peak2Model, PeakModel, Quadratic + + +def default_models(x: np.ndarray, y: np.ndarray) -> list[Model]: + """Generate model configurations with suited initial parameter guesses. + + Parameters + ---------- + x : np.ndarray + Input data (cups). + y : np.ndarray + Output data (productivity). + + Returns + ------- + list[Model] + List of model configurations ready for fitting. + """ + x_min, x_max = np.min(x), np.max(x) + y_min, y_max = np.min(y), np.max(y) + + return [ + Model( + name="Quadratic", + function=Quadratic(), + params=Quadratic.param_guess(y_min=y_min), + bounds=Quadratic.param_bounds(), + ), + Model( + name="Michaelis-Menten", + function=MichaelisMentenSaturation(), + params=MichaelisMentenSaturation.param_guess(x_min=x_min, x_max=x_max, y_min=y_min, y_max=y_max), + bounds=MichaelisMentenSaturation.param_bounds(), + ), + Model( + name="Logistic", + function=Logistic(), + params=Logistic.param_guess(x_min=x_min, x_max=x_max, y_min=y_min, y_max=y_max), + bounds=Logistic.param_bounds(), + ), + Model( + name="Peak", + function=PeakModel(), + params=PeakModel.param_guess(x_min=x_min, x_max=x_max, y_max=y_max), + bounds=PeakModel.param_bounds(), + ), + Model( + name="Peak²", + function=Peak2Model(), + params=Peak2Model.param_guess(x_min=x_min, x_max=x_max, y_max=y_max), + bounds=Peak2Model.param_bounds(), + ), + ] + + +def fit_all_models( + data: pd.DataFrame, + max_iterations: int = 20000, +) -> list[Model]: + r"""Fit all available models to the data and rank by R². + + Parameters + ---------- + data : pd.DataFrame + DataFrame with 'cups' and 'productivity' columns. + max_iterations : int, optional + Maximum iterations for optimization, by default 20000. + + Returns + ------- + list[ModelResult] + List of fitted models, sorted by R² (descending). Models for which fitting failed + are still in the list with default values (R²=-inf). + + Examples + -------- + >>> data = load_csv(Path(tmpfile.name)) # doctest: +SKIP + >>> models = fit_all_models(data) # doctest: +SKIP + >>> for model in models: # doctest: +SKIP + >>> print(f"{model.name}: R² = {model.r_squared:.4f}")# doctest: +SKIP + Quadratic: R² = 0.9978 + Peak²: R² = 0.9115 + Logistic: R² = 0.7525 + Peak: R² = 0.6699 + Michaelis-Menten: R² = 0.2347 + """ + logger = logging.getLogger(__name__) + x, y = extract_arrays(data) + models = default_models(x, y) + + fitted_models = [] + for mdl in models: + logger.info("Fitting model %s", mdl.name) + try: + fitted_model, _ = fit_model(x, y, mdl, max_iterations) + fitted_models.append(fitted_model) + except (ValueError, RuntimeError): + logger.warning("Warning: failed to fit %s model.", mdl.name, exc_info=True) + fitted_models.append(mdl) + logger.info("Successfully fitted model %s", mdl.name) + + Model.sort(fitted_models) + + return fitted_models + + +def format_model_rankings(fitted_models: list[Model]) -> str: + r"""Print a formatted table of model rankings. + + Parameters + ---------- + fitted_models : list[ModelResult] + List of fitted models, should be sorted by R². + + Examples + -------- + >>> from pkoffee.data import load_csv + >>> from pkoffee.productivity_analysis import fit_all_models + >>> data = load_csv(Path("coffee_productivity.csv") # doctest: +SKIP + >>> models = fit_all_models(data) # doctest: +SKIP + >>> print(format_model_rankings(models)) # doctest: +SKIP + Model Rankings: + ══════════════════════════════════════════════════ + Rank Model R² Score + ══════════════════════════════════════════════════ + 1 Quadratic 0.9978 + 2 Peak² 0.9115 + 3 Logistic 0.7525 + 4 Peak 0.6699 + 5 Michaelis-Menten 0.2347 + ══════════════════════════════════════════════════ + """ + if not fitted_models: + return "" + + Model.sort(fitted_models) + + rank_nb_char = 6 + model_nb_char = 20 + line_nb_char = 50 + + ranking_str = "Model Rankings:\n" + ranking_str += "═" * line_nb_char + "\n" + ranking_str += f"{'Rank':<{rank_nb_char}} {'Model':<{model_nb_char}} R² Score\n" + ranking_str += "═" * line_nb_char + "\n" + for rank, model in enumerate(fitted_models, start=1): + r2_str = f"{model.r_squared:.4f}" if np.isfinite(model.r_squared) else "N/A" + ranking_str += f"{rank:<{rank_nb_char}} {model.name:<{model_nb_char}} {r2_str}\n" + ranking_str += "═" * 50 + + return ranking_str + + +def analyze(args: argparse.Namespace) -> None: + """Fit models on input data and save them to file. + + Parameters + ---------- + args : argparse.Namespace + Parsed command-line arguments. + """ + # Load data + logger = logging.getLogger(__name__) + logger.info("Loading data from: %s", args.data_file) + data = load_csv(args.data_file) + logger.info("Loaded %s data points", len(data)) + + # Fit models + logger.info("Fitting models...") + models = fit_all_models(data) + logger.info("Successfully fitted %s models", len([m for m in models if m.r_squared > -data_dtype(np.inf)])) + + # Print rankings if requested + if args.show_rankings: + print(format_model_rankings(models)) # noqa: T201 Print is explicitly requested by user + + logger.info("Saving models to %s", args.output) + save_models(models, pkoffee_function_id_mapping().inv, args.output) + + logger.info("✓ Analysis complete!") diff --git a/src/pkoffee/visualization.py b/src/pkoffee/visualization.py new file mode 100644 index 0000000..1202177 --- /dev/null +++ b/src/pkoffee/visualization.py @@ -0,0 +1,337 @@ +"""Visualization utilities for coffee productivity analysis.""" + +import argparse +import logging +from enum import Enum, auto +from pathlib import Path +from typing import NamedTuple + +import matplotlib.pyplot as plt +import numpy as np +import pandas as pd +import seaborn as sns +from matplotlib import colormaps +from matplotlib.axes import Axes +from matplotlib.lines import Line2D + +from pkoffee.data import RequiredColumn, data_dtype, load_csv +from pkoffee.fit_model import Model +from pkoffee.fit_model_io import load_models, pkoffee_function_id_mapping + + +class Show(Enum): + """To show or not to show a figure.""" + + YES = auto() + NO = auto() + + +class NoModelProvidedError(ValueError): + """Exception for data input failure.""" + + def __init__(self) -> None: + super().__init__("No Model provided") + + +class FigureParameters(NamedTuple): + """Usual parameters of `matlplotlib.figure.Figure`. + + Attributes + ---------- + y_limits : tuple[float, float] | None + Limits of the y axis (min, max), default is None (to let matplotlib determine the values). + figsize: tuple[float, float] | None + Figure size in inches (matplotlib unit...) as (width, height). Default is (12, 7) + dpi: int + Drop Per Inch (number of ink droplets per inch) to use for the figure. Default is 150. + """ + + y_limits: tuple[float, float] | None = None + figsize: tuple[float, float] | None = (12, 7) + dpi: int = 150 + + +def draw_data_violin(ax: Axes, data: pd.DataFrame) -> None: + """Draw a violin plot of the data on `ax`. + + Parameters + ---------- + ax : Axes + Axes onto which to draw + data : pd.DataFrame + The DataFrame with the data to draw + """ + # Set seaborn style for beautiful plots + sns.set_theme(style="whitegrid", palette="husl") + # Create violin plot showing distribution by cups + sns.violinplot( + data=data, + x=RequiredColumn.CUPS, + y=RequiredColumn.PRODUCTIVITY, + hue=RequiredColumn.CUPS, + ax=ax, + inner="quartile", + cut=0, + density_norm="width", + palette="Greens", + linewidth=0.8, + legend=False, + alpha=0.7, + ) + + +def draw_model_lines( + ax: Axes, x_smooth: np.ndarray, y_smooth: list[np.ndarray | None], labels: list[str], fig_params: FigureParameters +) -> None: + """Draw the models prediction lines onto `ax`. + + Parameters + ---------- + ax : Axes + Axe onto which to draw + x_smooth : np.ndarray + x values of the line points + y_smooth : list[np.ndarray | None] + List of y values of the line points, one per element in `labels` + labels : list[str] + List of labels to use in the plot legend + fig_params : FigureParameters + Figure parameters + """ + # Plot the curves + legend_elements = [] + for idx, (mod_y_draw, mod_label, color) in enumerate( + zip(y_smooth, labels, colormaps["tab10"](np.linspace(0, 1, len(y_smooth))), strict=True) + ): + # If the predictions are not None: draw them + # In any case: add the model to the legend so its label shows in the plot. + if mod_y_draw is not None: + ax.plot( + x_smooth, + mod_y_draw, + linewidth=2.5, + color=color, + linestyle="solid", + alpha=0.9, + zorder=10 + idx, + ) + legend_elements.append(Line2D([0], [0], color=color, linestyle="solid", linewidth=2.5, label=mod_label)) + + # Styling + ax.set_title( + "Coffee Consumption vs Productivity: Distribution and Model Fits", + fontsize=14, + fontweight="bold", + pad=20, + ) + ax.set_xlabel("Coffee Cups Consumed", fontsize=12, fontweight="bold") + ax.set_ylabel("Productivity", fontsize=12, fontweight="bold") + ax.set_ylim(fig_params.y_limits) + ax.grid(True, alpha=0.3, linestyle="--") # noqa: FBT003 ax.grid boolean value is external + ax.legend( + handles=legend_elements, + loc="upper left", + frameon=True, + shadow=True, + fancybox=True, + fontsize=10, + title="Model Rankings", + title_fontsize=11, + ) + plt.tight_layout() + + +def plot_models( + data: pd.DataFrame, + fitted_models: list[Model], + output_path: Path | None = None, + fig_params: FigureParameters | None = None, + show: Show = Show.YES, +) -> None: + r"""Create a comprehensive analysis plot with data distribution and model fits. + + Parameters + ---------- + data : pd.DataFrame + DataFrame containing 'cups' and 'productivity' columns. + fitted_models : list[ModelResult] + List of fitted models to overlay on the plot. + fig_params : FigureParameters | None + Figure parameters + output_path : Path | None + Path to save the figure. If None, figure is not saved. + show : Show + Whether to display the plot, by default YES. + + Returns + ------- + plt.Figure + The created matplotlib figure. + + Examples + -------- + >>> from pkoffee.data import load_csv + >>> from pkoffee.productivity_analysis import fit_all_models + >>> data = load_csv(Path("coffee_productivity.csv")) # doctest: +SKIP + >>> models = fit_all_models(data) # doctest: +SKIP + >>> plot_models(data, models, Path("analysis.png")) # doctest: +SKIP + """ + if fig_params is None: + fig_params = FigureParameters(figsize=(12, 7), dpi=150, y_limits=(-0.2, 8.0)) + + fig, ax = plt.subplots(figsize=fig_params.figsize) + + # Prepare smooth x values for plotting fitted curves + x_min = data[RequiredColumn.CUPS].min() + x_max = data[RequiredColumn.CUPS].max() + x_smooth = np.linspace(x_min, x_max, 300) + + y_smooth = [] + for mdl in fitted_models: + if mdl.r_squared > -np.inf: + y_smooth.append(mdl.predict(x_smooth)) + else: + y_smooth.append(None) + + draw_data_violin(ax, data) + draw_model_lines( + ax, + x_smooth, + y_smooth, + [f"{m.name}: (R² = {m.r_squared:.3f})" for m in fitted_models], + fig_params, + ) + + # Save figure if path provided + if output_path is not None: + output_path.parent.mkdir(parents=True, exist_ok=True) + fig.savefig(output_path, dpi=fig_params.dpi, bbox_inches="tight") + logger = logging.getLogger(__name__) + logger.info("Models plot saved to: %s", output_path) + + # Display figure if requested + if show == Show.YES: + plt.show() + + +def create_comparison_plot( + data: pd.DataFrame, + fitted_models: list[Model], + output_path: Path | None = None, + fig_params: FigureParameters | None = None, + show: Show = Show.NO, +) -> None: + """Create a multi-panel comparison plot showing each model separately. + + Parameters + ---------- + data : pd.DataFrame + DataFrame containing 'cups' and 'productivity' columns. + fitted_models : list[ModelResult] + List of fitted models to display. + output_path : str or Path, optional + Path to save the figure. + fig_params : FigureParameters + Configuration value for matlplotlib figure + show : Show + Whether to show the figure or not. + """ + if fig_params is None: + fig_params = FigureParameters(figsize=(14, 10), dpi=150) + if not fitted_models: + raise NoModelProvidedError + + # Calculate grid dimensions + n_models = len(fitted_models) + n_cols = min(3, n_models) + n_rows = (n_models + n_cols - 1) // n_cols + + fig, axes = plt.subplots(n_rows, n_cols, figsize=fig_params.figsize, squeeze=False) + axes = axes.flatten() + + cups = data[RequiredColumn.CUPS].to_numpy(dtype=data_dtype) + productivity = data[RequiredColumn.PRODUCTIVITY].to_numpy(dtype=data_dtype) + x_smooth = np.linspace(cups.min(), cups.max(), 300) + + for model, ax in zip(fitted_models, axes, strict=False): # may be more axes than models + # Scatter plot of data + ax.scatter(cups, productivity, alpha=0.3, s=10, color="gray", label="Data") + + # Model fit + y_smooth = model.predict(x_smooth) + ax.plot(x_smooth, y_smooth, lw=2, color="blue", label="Model Fit") + + # Styling + ax.set_xlabel("Cups", fontsize=10) + ax.set_ylabel("Productivity", fontsize=10) + ax.set_title(f"{model.name}\nR² = {model.r_squared:.3f}", fontsize=11) + ax.grid(True, alpha=0.3) # noqa: FBT003 + ax.legend(fontsize=8) + + # Hide unused subplots + for idx in range(n_models, len(axes)): + axes[idx].set_visible(False) + + fig.suptitle( + "Model Comparison: Individual Fits", + fontsize=16, + fontweight="bold", + y=0.995, + ) + plt.tight_layout() + + if output_path is not None: + output_path.parent.mkdir(parents=True, exist_ok=True) + fig.savefig(output_path, dpi=fig_params.dpi, bbox_inches="tight") + logger = logging.getLogger(__name__) + logger.info("Comparison plot saved to: %s", output_path) + + # Display figure if requested + if show == Show.YES: + plt.show() + + +def visualize(args: argparse.Namespace) -> None: + """Plot model predictions and data. + + Parameters + ---------- + args : argparse.Namespace + Parsed command-line arguments. + """ + # Load data + logger = logging.getLogger(__name__) + logger.info("Loading data from: %s", args.data_file) + data = load_csv(args.data_file) + logger.info("Loaded %s data points", len(data)) + + # Load models + logger.info("Loading models from: %s", args.model_file) + models = load_models(args.model_file, pkoffee_function_id_mapping()) + logger.info("Loaded %s models", len(models)) + + # Determine y-axis limits + y_min = args.y_min if args.y_min is not None else data[RequiredColumn.PRODUCTIVITY].min() + y_max = args.y_max if args.y_max is not None else data[RequiredColumn.PRODUCTIVITY].max() + y_limits = (y_min, y_max) + + # Create main analysis plot + logger.info("Creating analysis plot: %s", args.output) + plot_models( + data, + models, + output_path=args.output, + fig_params=FigureParameters(y_limits=y_limits, dpi=args.dpi), + show=Show.YES if args.no_show else Show.NO, + ) + + # Create comparison plot if requested + if args.comparison is not None: + logger.info("Creating comparison plot: %s", args.comparison) + create_comparison_plot( + data, + models, + output_path=args.comparison, + fig_params=FigureParameters(dpi=args.dpi), + show=Show.YES if args.no_show else Show.NO, + ) diff --git a/tests/__init__.py b/tests/__init__.py new file mode 100644 index 0000000..0b94334 --- /dev/null +++ b/tests/__init__.py @@ -0,0 +1 @@ +"""Unit tests initialization.""" diff --git a/tests/test_data.py b/tests/test_data.py new file mode 100644 index 0000000..77a55a6 --- /dev/null +++ b/tests/test_data.py @@ -0,0 +1,140 @@ +"""Unit tests for data loading and preprocessing.""" + +from pathlib import Path + +import numpy as np +import pandas as pd +import pytest + +from pkoffee.data import ( + ColumnTypeError, + CSVReadError, + MissingColumnsError, + RequiredColumn, + curate, + data_dtype, + extract_arrays, + load_csv, + validate, +) + + +def test_validate() -> None: + """Test validate with valide DataFrame.""" + assert validate(pd.DataFrame({"cups": [0], "productivity": [1.2]})) is None + + +def test_validate_wrong_type() -> None: + """Test validate with incorrect required column type.""" + with pytest.raises(ColumnTypeError): + validate(pd.DataFrame({"cups": [0], "productivity": ["a"]})) + + +def test_validate_missing_column() -> None: + """Test validate with missing required column in DataFrame.""" + with pytest.raises(MissingColumnsError): + validate(pd.DataFrame({f"{RequiredColumn.CUPS}": [1], "notproductivity": [1.2]})) + + +@pytest.mark.parametrize( + ("data", "expected"), + [ + ( + pd.DataFrame({"cups": [1, np.nan, 2], "productivity": [1.2, 2.1, np.nan]}), + pd.DataFrame({"cups": [1.0], "productivity": [1.2]}), + ), + ( + pd.DataFrame({"cups": [np.nan, np.nan, np.nan], "productivity": [1.2, 2.1, 3.4]}), + pd.DataFrame({"cups": [], "productivity": []}), + ), + ( + pd.DataFrame({"cups": [1, 1, 4], "productivity": [1.2, 2.1, 0.5]}), + pd.DataFrame({"cups": [1, 1, 4], "productivity": [1.2, 2.1, 0.5]}), + ), + ], +) +def test_currate(data: pd.DataFrame, expected: pd.DataFrame) -> None: + """Test curate with different DataFrames containing nans.""" + assert curate(data).equals(expected) + + +def test_load_csv_valid_file(tmp_path: Path) -> None: + """Test loading valid CSV.""" + data_file = tmp_path / "valid.csv" + cups = np.array([1, 2, 3], dtype=int) + prod = np.array([2.3, 1.2, 4.8], dtype=data_dtype) + np.savetxt( + data_file, + np.stack([cups, prod], axis=1), + fmt=["%d", "%10.4f"], + delimiter=",", + header=f"{RequiredColumn.CUPS},{RequiredColumn.PRODUCTIVITY}", + comments="", + ) + + data = load_csv(data_file) + assert RequiredColumn.CUPS in data.columns + assert RequiredColumn.PRODUCTIVITY in data.columns + assert np.isclose(data[RequiredColumn.CUPS].to_numpy(), cups).all() + assert np.isclose(data[RequiredColumn.PRODUCTIVITY].to_numpy(), prod).all() + assert data.dtypes[RequiredColumn.CUPS] == np.int64 + assert data.dtypes[RequiredColumn.PRODUCTIVITY] == np.float64 + + +def test_load_csv_missing_file() -> None: + """Test that FileNotFoundError is raised for missing files.""" + with pytest.raises(FileNotFoundError): + load_csv(Path("nonexistent_file.csv")) + + +def test_load_csv_missing_columns(tmp_path: Path) -> None: + """Test MissingColumnsError is raised for missing required columns.""" + wrong_col_file = tmp_path / "missing_columns.csv" + data = np.stack([[1], [2.3]], axis=1) + np.savetxt( + wrong_col_file, + data, + fmt=["%d", "%10.4f"], + delimiter=",", + header=f"{RequiredColumn.CUPS},wrong_column", + comments="", + ) + with pytest.raises(MissingColumnsError, match="Missing required columns"): + load_csv(wrong_col_file) + + +def test_load_data_with_nan_values(tmp_path: Path) -> None: + """Test that rows with NaN values are dropped.""" + data_file = tmp_path / "valid_with_nan.csv" + with data_file.open("w") as fh: + fh.write(f"{RequiredColumn.CUPS},{RequiredColumn.PRODUCTIVITY}\n") + fh.write("1,10.5\n") + fh.write("2,\n") # Missing productivity + fh.write("3,18.2\n") + + data = load_csv(data_file) + expected = pd.DataFrame({RequiredColumn.CUPS: [1, 3], RequiredColumn.PRODUCTIVITY: [10.5, 18.2]}) + assert data.equals(expected) + + +def test_load_data_with_extra_values(tmp_path: Path) -> None: + """Test that rows with NaN values are dropped.""" + data_file = tmp_path / "valid_with_nan.csv" + with data_file.open("w") as fh: + fh.write(f"{RequiredColumn.CUPS},{RequiredColumn.PRODUCTIVITY}\n") + fh.write("1,2.1\n") + # try to read the file while it is open for write + with pytest.raises(CSVReadError): + load_csv(data_file) + + +def test_extract_arrays() -> None: + """Test extracting numpy arrays from DataFrame.""" + cups_ref = np.array([1, 2, 3], dtype=int) + productivity_ref = np.array([10.5, 15.3, 18.2], dtype=np.float64) + data = pd.DataFrame({RequiredColumn.CUPS: cups_ref, RequiredColumn.PRODUCTIVITY: productivity_ref}) + + cups, productivity = extract_arrays(data) + + assert np.allclose(cups_ref, cups) + assert np.allclose(productivity_ref, productivity) diff --git a/tests/test_fit_model.py b/tests/test_fit_model.py new file mode 100644 index 0000000..aba8b5d --- /dev/null +++ b/tests/test_fit_model.py @@ -0,0 +1,236 @@ +"""Unit tests for model fitting.""" + +import numpy as np +import pytest + +from pkoffee.data import AnyShapeDataDtypeArray, neg_inf, pos_inf +from pkoffee.data import data_dtype as dt +from pkoffee.fit_model import ( + FunctionIdNotFoundInMappingError, + FunctionNotFoundInMappingError, + Model, + ModelParsingError, + fit_model, +) +from pkoffee.parametric_function import ParametersBounds + + +class Linear: + """Linear function.""" + + def __call__(self, x: AnyShapeDataDtypeArray, a: dt, b: dt) -> AnyShapeDataDtypeArray: + """Evaluate y = a * x + b.""" + return a * x + b # pyright: ignore[reportReturnType] return dtype is data_dtype alright. + + @staticmethod + def param_guess() -> dict[str, dt]: + """Guess parameters for tests: a: 2.0, b: 1.0.""" + return {"a": dt(2.0), "b": dt(1.0)} + + @staticmethod + def param_bounds() -> ParametersBounds: + """Parameter bounds in [-inf, +inf].""" + return ParametersBounds(min={"a": neg_inf, "b": neg_inf}, max={"a": pos_inf, "b": pos_inf}) + + +class LinearSQRT: + """Passthrough model with square root of coefficient parameter.""" + + def __call__(self, x: AnyShapeDataDtypeArray, a: dt) -> AnyShapeDataDtypeArray: + """Evaluate y = sqrt(a) * x.""" + return np.sqrt(a) * x + + @staticmethod + def param_guess() -> dict[str, dt]: + """Guess parameter: a: 1.0.""" + return {"a": dt(1.0)} + + @staticmethod + def param_bounds() -> ParametersBounds: + """Parameter bounds: "a" should be positive.""" + return ParametersBounds(min={"a": dt(5e-7)}, max={"a": pos_inf}) + + +class PassThrough: + """PassThrough empty model for testing.""" + + def __call__(self, x: AnyShapeDataDtypeArray) -> AnyShapeDataDtypeArray: + """Passthrough.""" + return x + + @staticmethod + def param_guess() -> dict[str, dt]: + """No parameter to guess.""" + return {} + + @staticmethod + def param_bounds() -> ParametersBounds: + """No parameter bounds.""" + return ParametersBounds(min={}, max={}) + + +def test_model_result_predict() -> None: + """Test ModelResult prediction method.""" + model_result = Model( + name="Linear", + function=Linear(), + params=Linear.param_guess(), + bounds=Linear.param_bounds(), + r_squared=dt(0.95), + ) + + x_new = np.array([0.0, 1.0, 2.0], dtype=dt) + predictions = model_result.predict(x_new) + + expected = np.array([1.0, 3.0, 5.0]) + np.testing.assert_allclose(predictions, expected) + + +def test_fit_model_success() -> None: + """Test successful model fitting.""" + # Create simple linear data + x = np.linspace(0, 10, 50) + rng = np.random.default_rng(1337) + y = 2.0 * x + 1.0 + rng.normal(0, 0.1, 50) + + lin_model = Model( + name="Test Linear", + function=Linear(), + params={"a": dt(1.0), "b": dt(0.0)}, + bounds=ParametersBounds(min=dict.fromkeys(["a", "b"], neg_inf), max=dict.fromkeys(["a", "b"], pos_inf)), + ) + + result, _ = fit_model(x, y, lin_model) + + assert result is not None + assert result.name == "Test Linear" + assert result.r_squared > 0.9 # Should fit well # noqa: PLR2004 + assert len(result.params) == 2 # noqa: PLR2004 + assert result.params["a"] == pytest.approx(2.0, abs=0.2) + + +def test_fit_model_failure() -> None: + """Test that fit_model raises error on failure.""" + x = np.array([1.0, 2.0, 3.0]) + y = np.array([1.0, 2.0, 3.0]) + + # Create a config that will fail + config = Model( + name="Bad Model", + function=LinearSQRT(), + params={"a": dt(-10.0)}, + bounds=ParametersBounds(min={"a": dt(-100.0)}, max={"a": dt(-1.0)}), + ) + + # Verify value error is raised, ignore RuntimeWarning from sqrt(0) + with pytest.raises(ValueError), pytest.warns(RuntimeWarning): # noqa: PT011 error raised by scipy + _ = fit_model(x, y, config) + + +def test_model_result_repr() -> None: + """Test ModelResult string representation.""" + model = Model( + name="TestModel", + function=PassThrough(), + params={}, + r_squared=dt(0.8765), + bounds=ParametersBounds({}, {}), + ) + + repr_str = repr(model) + + assert repr_str == f"ModelFit(name='{model.name}', R²={model.r_squared:.3f})" + + +def test_model_sort() -> None: + """Test Model.sort.""" + r_squared_min = dt(0.1) + r_squared_max = dt(0.3) + model_list = [ + Model( + name="a", + function=PassThrough(), + params={}, + r_squared=r_squared_max, + bounds=ParametersBounds({}, {}), + ), + Model( + name="b", + function=PassThrough(), + params={}, + r_squared=r_squared_min, + bounds=ParametersBounds({}, {}), + ), + ] + Model.sort(model_list) + assert model_list[0].r_squared == r_squared_max + assert model_list[1].r_squared == r_squared_min + + +def test_model_to_dict() -> None: + """Test model conversion to dictionary.""" + linear_model = Model( + name="test_linear", + function=Linear(), + params={"a": dt(1.0), "b": dt(0.5)}, + bounds=ParametersBounds(min={"a": dt(-1.0), "b": dt(-5.0)}, max={"a": dt(1.0), "b": dt(5.0)}), + r_squared=dt(0.2), + ) + assert linear_model.to_dict({Linear: "Linear"}) == { + "name": "test_linear", + "function": "Linear", + "params": {"a": 1.0, "b": 0.5}, + "bounds": {"min": {"a": -1.0, "b": -5.0}, "max": {"a": 1.0, "b": 5.0}}, + "r_squared": 0.20000000298023224, + } + + +def test_model_to_dict_missing_mapping() -> None: + """Test Error raising when function mapping is missing during dict conversion.""" + model = Model( + name="Passthrough", + function=PassThrough(), + params={}, + bounds=ParametersBounds(min={}, max={}), + r_squared=neg_inf, + ) + with pytest.raises(FunctionNotFoundInMappingError): + model.to_dict({}) + + +def test_model_from_dict() -> None: + """Test model creation from dictionary.""" + d = { + "name": "test_linear", + "function": "Linear", + "params": {"a": 1.0, "b": 0.5}, + "bounds": {"min": {"a": -1.0, "b": -5.0}, "max": {"a": 1.0, "b": 5.0}}, + "r_squared": 0.20000000298023224, + } + linear_model = Model.from_dict(d, {"Linear": Linear}) + assert linear_model.name == d["name"] + assert isinstance(linear_model.function, Linear) + assert linear_model.params == {p: dt(v) for p, v in d["params"].items()} + assert linear_model.bounds == ParametersBounds( + min={p: dt(v) for p, v in d["bounds"]["min"].items()}, max={p: dt(v) for p, v in d["bounds"]["max"].items()} + ) + assert linear_model.r_squared == d["r_squared"] + + +def test_model_from_dict_missing_mapping() -> None: + """Test model creation from dictionary error in case of missing mapping.""" + d = { + "name": "passthrough", + "function": "PassThrough", + "params": {}, + "bounds": {"min": {}, "max": {}}, + "r_squared": neg_inf, + } + with pytest.raises(FunctionIdNotFoundInMappingError): + Model.from_dict(d, {}) + + +def test_model_from_dict_bad_dict() -> None: + """Test model creation error when the dictionary doesn't have the required content.""" + with pytest.raises(ModelParsingError): + Model.from_dict({}, {}) diff --git a/tests/test_fit_model_io.py b/tests/test_fit_model_io.py new file mode 100644 index 0000000..b500e59 --- /dev/null +++ b/tests/test_fit_model_io.py @@ -0,0 +1,118 @@ +"""Test suite of `pkoffee.fit_model_io`.""" + +from dataclasses import astuple +from pathlib import Path + +from pkoffee.data import data_dtype as dt +from pkoffee.fit_model import Model +from pkoffee.fit_model_io import ( + load_models, + load_models_json, + load_models_toml, + pkoffee_function_id_mapping, + save_models, + save_models_json, + save_models_toml, +) +from pkoffee.parametric_function import ( + Logistic, + MichaelisMentenSaturation, + ParametricFunction, + Peak2Model, + PeakModel, + Quadratic, +) + + +def test_pkoffee_function_id_mapping() -> None: + """Test the function to string identifier bijection mapping.""" + mapping = pkoffee_function_id_mapping() + assert mapping["Quadratic"] == Quadratic + assert mapping.inv[Quadratic] == "Quadratic" + assert mapping["Logistic"] == Logistic + assert mapping.inv[Logistic] == "Logistic" + assert mapping["MichaelisMentenSaturation"] == MichaelisMentenSaturation + assert mapping.inv[MichaelisMentenSaturation] == "MichaelisMentenSaturation" + assert mapping["PeakModel"] == PeakModel + assert mapping.inv[PeakModel] == "PeakModel" + assert mapping["Peak2Model"] == Peak2Model + assert mapping.inv[Peak2Model] == "Peak2Model" + + +def assert_model_equal(lhs: Model, rhs: Model) -> None: + """Assert 2 models are equal.""" + # Assert both are models + assert isinstance(lhs, Model) + assert type(lhs) is type(rhs) + # Assert models functions are the same + assert type(lhs.function) is type(rhs.function) + # assert equality of all other fields + for lhs_field, rhs_field in zip(astuple(lhs), astuple(rhs), strict=True): + if isinstance(lhs_field, ParametricFunction): + continue + assert lhs_field == rhs_field + + +def test_save_load_models_json(tmp_path: Path) -> None: + """Test model saving to json.""" + ref_model = Model( + name="TestModel", + function=Quadratic(), + params=Quadratic.param_guess(dt(0.0)), + bounds=Quadratic.param_bounds(), + r_squared=dt(0.8765), + ) + model_json_file = tmp_path / "test_save_models_json.json" + fct_id_to_fct = pkoffee_function_id_mapping() + save_models_json([ref_model.to_dict(fct_id_to_fct.inv)], model_json_file) + read_model = load_models_json(model_json_file, fct_id_to_fct)[0] + assert_model_equal(ref_model, read_model) + + +def test_save_models_toml(tmp_path: Path) -> None: + """Test model saving to toml.""" + ref_model = Model( + name="TestModel", + function=Quadratic(), + params=Quadratic.param_guess(dt(0.0)), + bounds=Quadratic.param_bounds(), + r_squared=dt(0.8765), + ) + model_toml_file = tmp_path / "test_save_models_toml.toml" + fct_id_to_fct = pkoffee_function_id_mapping() + save_models_toml([ref_model.to_dict(fct_id_to_fct.inv)], model_toml_file) + read_model = load_models_toml(model_toml_file, fct_id_to_fct)[0] + assert_model_equal(ref_model, read_model) + + +def test_save_models(tmp_path: Path) -> None: + """Test saving several models.""" + models = [ + Model( + name="QuadraticBest", + function=Quadratic(), + params=Quadratic.param_guess(dt(0.0)), + bounds=Quadratic.param_bounds(), + r_squared=dt(0.8765), + ), + Model( + name="QuadraticWorse", + function=Quadratic(), + params=Quadratic.param_guess(dt(0.0)), + bounds=Quadratic.param_bounds(), + r_squared=dt(0.2244), + ), + Model( + name="Logistic", + function=Logistic(), + params=Logistic.param_guess(dt(0), dt(5), dt(0), dt(10)), + bounds=Logistic.param_bounds(), + r_squared=dt(0.7542), + ), + ] + model_toml_file = tmp_path / "test_save_models_toml.toml" + fct_id_to_fct = pkoffee_function_id_mapping() + save_models(models, fct_id_to_fct.inv, model_toml_file) + read_models = load_models(model_toml_file, fct_id_to_fct) + for ref_md, read_md in zip(models, read_models, strict=True): # pyright: ignore[reportArgumentType] model_dicts is iterable alright + assert_model_equal(ref_md, read_md) diff --git a/tests/test_metrics.py b/tests/test_metrics.py new file mode 100644 index 0000000..6db310a --- /dev/null +++ b/tests/test_metrics.py @@ -0,0 +1,87 @@ +"""Unit tests for model evaluation metrics.""" + +import numpy as np +import pytest + +from pkoffee.metrics import compute_mae, compute_r2, compute_rmse + + +def test_compute_r2_perfect_fit() -> None: + """Test R² for perfect prediction.""" + y_true = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + y_pred = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + + r2 = compute_r2(y_true, y_pred) + + assert r2 == pytest.approx(1.0) + + +def test_compute_r2_poor_fit() -> None: + """Test R² for poor prediction (negative values possible).""" + y_true = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + y_pred = np.array([5.0, 4.0, 3.0, 2.0, 1.0]) + + r2 = compute_r2(y_true, y_pred) + + assert r2 < 0 # Worse than predicting the mean + + +def test_compute_r2_mean_prediction() -> None: + """Test R² when predicting the mean (should be 0).""" + y_true = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + y_pred = np.full_like(y_true, y_true.mean()) + + r2 = compute_r2(y_true, y_pred) + + assert r2 == pytest.approx(0.0) + + +def test_compute_r2_length_mismatch() -> None: + """Test that ValueError is raised for mismatched lengths.""" + y_true = np.array([1.0, 2.0, 3.0]) + y_pred = np.array([1.0, 2.0]) + + with pytest.raises(ValueError, match="same length"): + compute_r2(y_true, y_pred) + + +def test_compute_rmse_perfect_fit() -> None: + """Test RMSE for perfect prediction.""" + y_true = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + y_pred = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + + rmse = compute_rmse(y_true, y_pred) + + assert rmse == pytest.approx(0.0) + + +def test_compute_rmse_known_value() -> None: + """Test RMSE with known expected value.""" + y_true = np.array([1.0, 2.0, 3.0]) + y_pred = np.array([1.5, 2.5, 3.5]) + + rmse = compute_rmse(y_true, y_pred) + + # RMSE = sqrt(mean((0.5, 0.5, 0.5)^2)) = sqrt(0.25) = 0.5 + assert rmse == pytest.approx(0.5) + + +def test_compute_mae_perfect_fit() -> None: + """Test MAE for perfect prediction.""" + y_true = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + y_pred = np.array([1.0, 2.0, 3.0, 4.0, 5.0]) + + mae = compute_mae(y_true, y_pred) + + assert mae == pytest.approx(0.0) + + +def test_compute_mae_known_value() -> None: + """Test MAE with known expected value.""" + y_true = np.array([1.0, 2.0, 3.0]) + y_pred = np.array([1.5, 2.5, 2.0]) + + mae = compute_mae(y_true, y_pred) + + # MAE = mean(|0.5, 0.5, 1.0|) = 2.0 / 3 ≈ 0.6667 + assert mae == pytest.approx(2.0 / 3.0) diff --git a/tests/test_parametric_function.py b/tests/test_parametric_function.py new file mode 100644 index 0000000..4c095b9 --- /dev/null +++ b/tests/test_parametric_function.py @@ -0,0 +1,73 @@ +"""Unit test for parametric functions.""" + +import numpy as np +import pytest +from numpy.testing import assert_allclose + +from pkoffee.data import data_dtype +from pkoffee.parametric_function import ( + Logistic, + MichaelisMentenSaturation, + Peak2Model, + PeakModel, + Quadratic, +) + + +def test_quadratic_model() -> None: + """Test quadratic model evaluation.""" + x = np.array([0.0, 1.0, 2.0, 3.0]) + quadratic_function = Quadratic() + result = quadratic_function(x, a0=data_dtype(1.0), a1=data_dtype(2.0), a2=data_dtype(0.5)) + + expected = np.array([1.0, 3.5, 7.0, 11.5]) + assert_allclose(result, expected) + + +def test_michaelis_menten_model() -> None: + """Test Michaelis-Menten model evaluation.""" + x = np.array([0.0, 1.0, 5.0, 10.0]) + michaelis_menten_function = MichaelisMentenSaturation() + result = michaelis_menten_function(x, v_max=data_dtype(10.0), k=data_dtype(2.0), y0=data_dtype(1.0)) + + # At x=0: 1.0 + 10*0/(2+0) = 1.0 + # At x=2: 1.0 + 10*2/(2+2) = 6.0 + assert result[0] == pytest.approx(1.0) + assert result[1] == pytest.approx(1.0 + 10.0 * 1.0 / 3.0) + + +def test_logistic_model() -> None: + """Test logistic model evaluation.""" + x = np.array([0.0, 5.0, 10.0]) + logistic_function = Logistic() + result = logistic_function(x, L=data_dtype(10.0), k=data_dtype(1.0), x0=data_dtype(5.0), y0=data_dtype(0.0)) + + # At x0 (midpoint), should be y0 + L/2 + assert result[1] == pytest.approx(5.0, abs=0.01) + # Function should be monotonically increasing + assert result[0] < result[1] < result[2] + + +def test_peak_model() -> None: + """Test peak model evaluation.""" + x = np.array([0.0, 1.0, 2.0, 10.0]) + peak_function = PeakModel() + result = peak_function(x, a=data_dtype(5.0), b=data_dtype(2.0)) + + # At x=0, result should be 0 + assert result[0] == pytest.approx(0.0) + # Should increase then decrease (peak behavior) + assert result[1] < result[2] + assert result[2] > result[3] + + +def test_peak2_model() -> None: + """Test quadratic peak model evaluation.""" + x = np.array([0.0, 1.0, 2.0, 10.0]) + peak2_model = Peak2Model() + result = peak2_model(x, a=data_dtype(1.0), b=data_dtype(3.0)) + + # At x=0, result should be 0 + assert result[0] == pytest.approx(0.0) + # Should have peak behavior + assert result[1] < result[2]