convinterp
High-order convolution interpolation on uniform grids in any number of dimensions, with derivatives, for Python. The core is written in Rust; the kernels are exact polynomials.
convinterp is a port of the Julia package ConvolutionInterpolations.jl, by the same author, and is tested against it.
Status: alpha. Interpolation and derivatives on uniform grids work in any dimension. Integrals and scattered data are coming.
Installation
pip install convinterp
Example
import numpy as np
from convinterp import convolution_interpolation
# 1D: data on a uniform grid
x = np.linspace(0.0, 2 * np.pi, 50) # 50 uniformly spaced knots
itp = convolution_interpolation(x, np.sin(x)) # the interpolant of sin(x)
print(itp(1.0)) # ≈ sin(1) = 0.841471
# derivatives: one order for the whole interpolant
d_itp = convolution_interpolation(x, np.sin(x), derivative=1)
print(d_itp(1.0)) # ≈ cos(1) = 0.540302
# 2D: one knot array per axis, and data whose axis d runs along knots[d]
y = np.linspace(0.0, 1.0, 30) # knots of the second axis
data = np.sin(x)[:, None] * np.exp(y)[None, :] # sin(x)·exp(y) on the 50 × 30 grid
itp2 = convolution_interpolation((x, y), data) # the 2D interpolant
print(itp2(1.0, 0.5)) # ≈ sin(1)·exp(0.5) = 1.387351
# a mixed derivative, with an order per axis: ∂²/∂x∂y
dxy = convolution_interpolation((x, y), data, derivative=(1, 1))
print(dxy(1.0, 0.5)) # ≈ cos(1)·exp(0.5) = 0.890808
# arrays of points broadcast like NumPy arrays: here a 3 × 4 table of values
xs = np.array([[0.5], [1.0], [1.5]]) # a column of x coordinates
ys = np.array([[0.1, 0.2, 0.3, 0.4]]) # a row of y coordinates
print(itp2(xs, ys).shape) # (3, 4)
Kernels
kernel="auto" (the default) chooses by the number of dimensions: "b7" in 1D and 2D, "b5" in
3D, and narrower kernels beyond. You can choose any of:
| kernel | order of accuracy | highest derivative |
|---|---|---|
"a0" |
nearest neighbour | none |
"a1" |
linear | none |
"a3", "a4", "a5", "a7" |
cubic and higher | 1 |
"b5", "b7", "b9", "b11", "b13" |
high order | 3 to 7 |
Boundary conditions
The data are extended beyond each boundary by extrapolation: bc="detect" (the default) uses
polynomial extrapolation where the data near the boundary allow it and linear otherwise. You can
also choose "poly", "linear" or "quadratic", separately for each side and each axis.
Declaration of AI Assistance
The Rust core and much of the Python code of convinterp were written with substantial assistance from Claude (Anthropic). The mathematical methods, the kernels and the reference implementation come from the author's Julia package ConvolutionInterpolations.jl, and the port is validated against it: the test suite compares convinterp with the Julia package across kernels, boundary conditions, derivative orders and dimensions, with the boundary coefficients agreeing bit for bit. The author has reviewed and is responsible for all code.
License
MIT
1 maintainer
Release files for convinterp 0.1.0
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Release files / convinterp-0.1.0-cp314-cp314-macosx_10_12_x86_64.whl
| Download URL | convinterp-0.1.0-cp314-cp314-macosx_10_12_x86_64.whl |
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| Size | 349.5 kB |
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Release files / convinterp-0.1.0-cp313-cp313-win_arm64.whl
| Download URL | convinterp-0.1.0-cp313-cp313-win_arm64.whl |
|---|---|
| Size | 231.1 kB |
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Release files / convinterp-0.1.0-cp313-cp313-win_amd64.whl
| Download URL | convinterp-0.1.0-cp313-cp313-win_amd64.whl |
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| Size | 252.6 kB |
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Release files / convinterp-0.1.0-cp313-cp313-musllinux_1_2_x86_64.whl
| Download URL | convinterp-0.1.0-cp313-cp313-musllinux_1_2_x86_64.whl |
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| Size | 576.5 kB |
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Release files / convinterp-0.1.0-cp313-cp313-musllinux_1_2_aarch64.whl
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Release files / convinterp-0.1.0-cp313-cp313-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
| Download URL | convinterp-0.1.0-cp313-cp313-manylinux_2_17_x86_64.manylinux2014_x86_64.whl |
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| Size | 363.8 kB |
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Release files / convinterp-0.1.0-cp313-cp313-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
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Release files / convinterp-0.1.0-cp313-cp313-macosx_11_0_arm64.whl
| Download URL | convinterp-0.1.0-cp313-cp313-macosx_11_0_arm64.whl |
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| Size | 329.6 kB |
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Release files / convinterp-0.1.0-cp313-cp313-macosx_10_12_x86_64.whl
| Download URL | convinterp-0.1.0-cp313-cp313-macosx_10_12_x86_64.whl |
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| Size | 349.6 kB |
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Release files / convinterp-0.1.0-cp312-cp312-win_arm64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-win_arm64.whl |
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| Size | 231.0 kB |
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Release files / convinterp-0.1.0-cp312-cp312-win_amd64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-win_amd64.whl |
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| Size | 252.4 kB |
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Release files / convinterp-0.1.0-cp312-cp312-musllinux_1_2_x86_64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-musllinux_1_2_x86_64.whl |
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| Tags | CPython 3.12 Linux musl 1.2+ x86-64 |
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Release files / convinterp-0.1.0-cp312-cp312-musllinux_1_2_aarch64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-musllinux_1_2_aarch64.whl |
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Release files / convinterp-0.1.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl |
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| Size | 363.5 kB |
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Release files / convinterp-0.1.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl |
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| Size | 352.3 kB |
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Release files / convinterp-0.1.0-cp312-cp312-macosx_11_0_arm64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-macosx_11_0_arm64.whl |
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Release files / convinterp-0.1.0-cp312-cp312-macosx_10_12_x86_64.whl
| Download URL | convinterp-0.1.0-cp312-cp312-macosx_10_12_x86_64.whl |
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Release files / convinterp-0.1.0-cp311-cp311-win_amd64.whl
| Download URL | convinterp-0.1.0-cp311-cp311-win_amd64.whl |
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| Size | 254.2 kB |
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Release files / convinterp-0.1.0-cp311-cp311-musllinux_1_2_x86_64.whl
| Download URL | convinterp-0.1.0-cp311-cp311-musllinux_1_2_x86_64.whl |
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Release files / convinterp-0.1.0-cp311-cp311-musllinux_1_2_aarch64.whl
| Download URL | convinterp-0.1.0-cp311-cp311-musllinux_1_2_aarch64.whl |
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Release files / convinterp-0.1.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
| Download URL | convinterp-0.1.0-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl |
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| Size | 364.2 kB |
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Release files / convinterp-0.1.0-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
| Download URL | convinterp-0.1.0-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl |
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| Size | 354.8 kB |
| Tags | CPython 3.11 Linux glibc 2.17+ ARM64 |
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Release files / convinterp-0.1.0-cp311-cp311-macosx_11_0_arm64.whl
| Download URL | convinterp-0.1.0-cp311-cp311-macosx_11_0_arm64.whl |
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| Size | 330.8 kB |
| Tags | CPython 3.11 macOS 11.0+ ARM64 |
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Release files / convinterp-0.1.0-cp311-cp311-macosx_10_12_x86_64.whl
| Download URL | convinterp-0.1.0-cp311-cp311-macosx_10_12_x86_64.whl |
|---|---|
| Size | 351.0 kB |
| Tags | CPython 3.11 macOS 10.12+ x86-64 |
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Release files / convinterp-0.1.0-cp310-cp310-win_amd64.whl
| Download URL | convinterp-0.1.0-cp310-cp310-win_amd64.whl |
|---|---|
| Size | 254.4 kB |
| Tags | CPython 3.10 Windows x86-64 |
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Release files / convinterp-0.1.0-cp310-cp310-musllinux_1_2_x86_64.whl
| Download URL | convinterp-0.1.0-cp310-cp310-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 577.2 kB |
| Tags | CPython 3.10 Linux musl 1.2+ x86-64 |
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uv/0.12.19 {"installer":{"name":"uv","version":"0.12.19","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / convinterp-0.1.0-cp310-cp310-musllinux_1_2_aarch64.whl
| Download URL | convinterp-0.1.0-cp310-cp310-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 532.7 kB |
| Tags | CPython 3.10 Linux musl 1.2+ ARM64 |
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uv/0.12.19 {"installer":{"name":"uv","version":"0.12.19","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / convinterp-0.1.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
| Download URL | convinterp-0.1.0-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl |
|---|---|
| Size | 364.5 kB |
| Tags | CPython 3.10 Linux glibc 2.17+ x86-64 |
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SHA-256 checksum How to use checksums |
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uv/0.12.19 {"installer":{"name":"uv","version":"0.12.19","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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Release files / convinterp-0.1.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
| Download URL | convinterp-0.1.0-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl |
|---|---|
| Size | 355.2 kB |
| Tags | CPython 3.10 Linux glibc 2.17+ ARM64 |
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SHA-256 checksum How to use checksums |
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Release files / convinterp-0.1.0-cp39-cp39-musllinux_1_2_x86_64.whl
| Download URL | convinterp-0.1.0-cp39-cp39-musllinux_1_2_x86_64.whl |
|---|---|
| Size | 580.3 kB |
| Tags | CPython 3.9 Linux musl 1.2+ x86-64 |
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SHA-256 checksum How to use checksums |
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Release files / convinterp-0.1.0-cp39-cp39-musllinux_1_2_aarch64.whl
| Download URL | convinterp-0.1.0-cp39-cp39-musllinux_1_2_aarch64.whl |
|---|---|
| Size | 536.1 kB |
| Tags | CPython 3.9 Linux musl 1.2+ ARM64 |
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Release files / convinterp-0.1.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl
| Download URL | convinterp-0.1.0-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl |
|---|---|
| Size | 367.7 kB |
| Tags | CPython 3.9 Linux glibc 2.17+ x86-64 |
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SHA-256 checksum How to use checksums |
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Release files / convinterp-0.1.0-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl
| Download URL | convinterp-0.1.0-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl |
|---|---|
| Size | 358.1 kB |
| Tags | CPython 3.9 Linux glibc 2.17+ ARM64 |
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Release files / convinterp-0.1.0-cp39-cp39-macosx_11_0_arm64.whl
| Download URL | convinterp-0.1.0-cp39-cp39-macosx_11_0_arm64.whl |
|---|---|
| Size | 333.7 kB |
| Tags | CPython 3.9 macOS 11.0+ ARM64 |
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Release files / convinterp-0.1.0-cp39-cp39-macosx_10_12_x86_64.whl
| Download URL | convinterp-0.1.0-cp39-cp39-macosx_10_12_x86_64.whl |
|---|---|
| Size | 353.6 kB |
| Tags | CPython 3.9 macOS 10.12+ x86-64 |
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uv/0.12.19 {"installer":{"name":"uv","version":"0.12.19","subcommand":["publish"]},"python":null,"implementation":{"name":null,"version":null},"distro":{"name":"Ubuntu","version":"24.04","id":"noble","libc":null},"system":{"name":null,"release":null},"cpu":null,"openssl_version":null,"setuptools_version":null,"rustc_version":null,"ci":true}
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