spdist: Simple metrics for comparing the distance between two curves.

spdist is a simple metrics for comparing the distance between two given curves. The curves can be passed in as a numpy array with discrete values. It will interpolate between the values and calculate the minimum distance between each points in the curve and reference curve.

pip install spdist

How to use.

Currently spdist has only one function spdist.

import spdist
import numpy as np

x = np.linspace(0, 10, 100)
y = 2*x

x_ref = x
y_ref = 2*x + 1

distance = spdist.spdist(x,y,x_ref,y_ref)

print(f"{distance}")

Example plot

Following example plot a straight line $y = 2x$ and a line with a constant offset. The distance between the two lines is calculated using the spdist function. The normal vector is calculated as $(2/\sqrt{5}, -1/\sqrt{5})$. Normal vector scaled by the distance is plot green line.

test

Algorithm

The algorithm of the caculation is somewhat brute force and the time complexity is $O(n^2)$. The algorithm is as follows:

distance = 0

for i in zip(x,y):

  tmp_distance = 0
  for j in zip(x_ref, y_ref):
    if (x_ref == x_ref_next) and (y_ref == y_ref_next):
        # point to point distance
        tmp_distance = min(tmp_distance, ((x - x_ref)**2 + (y - y_ref)**2)**0.5)
        continue
    # point to line distance
    # https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line#Line_defined_by_two_points
    tmp_distance = min(tmp_distance, ((x_ref_next - x_ref) * (y_ref - y) - (x_ref - x) * (y_ref_next - y_ref)) / ((x_ref_next - x_ref)**2 + (y_ref_next - y_ref)**2)**0.5)

  distance += tmp_distance

distance /= len(x)

Although the algorithm itself is not optimized, the whole library is written in Rust Rust with parallel processing. (Thanks to Rust's borrow checker and rayon rayon, which is both great work.) Therefore, the calculation is fast enough.

Where to use

This library was originally developed to calculate the distance between the measured spectra and the reference spectra of XAS. The metrics is useful to quantify and capture the features of the spectra.

Key dates

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  • Released:
Latest release

1 maintainer

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Requires

Python >=3.8

Classifiers

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Metadata

Key dates

PyPI data
Data sourced directly from PyPI's database.
  • Released:
Latest release

1 maintainer

PyPI data
Data sourced directly from PyPI's database.
Avatar for ameyanagi from gravatar.com ameyanagi

Requires

Python >=3.8

Classifiers

Report project as malware

Release files for spdist 0.1.3

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for spdist 0.1.3
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spdist-0.1.3.tar.gz 96.0 kB Details

Built distributions (wheels)

Table of built distributions (wheels) for spdist 0.1.3
File
spdist-0.1.3-pp310-pypy310_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-pp310-pypy310_pp73-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-pp310-pypy310_pp73-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-pp310-pypy310_pp73-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-pp310-pypy310_pp73-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-pp310-pypy310_pp73-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB PyPy 3.10 PyPy 3.10 7.3 Linux glibc 2.12+ x86-32 Details
spdist-0.1.3-pp39-pypy39_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-pp39-pypy39_pp73-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-pp39-pypy39_pp73-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-pp39-pypy39_pp73-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-pp39-pypy39_pp73-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-pp39-pypy39_pp73-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB PyPy 3.9 PyPy 3.9 7.3 Linux glibc 2.12+ x86-32 Details
spdist-0.1.3-pp38-pypy38_pp73-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB PyPy 3.8 PyPy 3.8 7.3 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-pp38-pypy38_pp73-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB PyPy 3.8 PyPy 3.8 7.3 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-pp38-pypy38_pp73-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB PyPy 3.8 PyPy 3.8 7.3 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-pp38-pypy38_pp73-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB PyPy 3.8 PyPy 3.8 7.3 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-pp38-pypy38_pp73-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB PyPy 3.8 PyPy 3.8 7.3 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-pp38-pypy38_pp73-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB PyPy 3.8 PyPy 3.8 7.3 Linux glibc 2.12+ x86-32 Details
spdist-0.1.3-cp313-cp313-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB CPython 3.13 CPython 3.13 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-cp313-cp313-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB CPython 3.13 CPython 3.13 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-cp313-cp313-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB CPython 3.13 CPython 3.13 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-cp313-cp313-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB CPython 3.13 CPython 3.13 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-cp312-none-win_amd64.whl 195.1 kB CPython 3.12 none Windows x86-64 Details
spdist-0.1.3-cp312-none-win32.whl 185.1 kB CPython 3.12 none Windows x86-32 Details
spdist-0.1.3-cp312-cp312-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB CPython 3.12 CPython 3.12 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-cp312-cp312-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB CPython 3.12 CPython 3.12 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-cp312-cp312-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB CPython 3.12 CPython 3.12 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-cp312-cp312-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB CPython 3.12 CPython 3.12 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-cp312-cp312-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB CPython 3.12 CPython 3.12 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-cp312-cp312-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB CPython 3.12 CPython 3.12 Linux glibc 2.12+ x86-32 Details
spdist-0.1.3-cp312-cp312-macosx_11_0_arm64.whl 344.0 kB CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details
spdist-0.1.3-cp312-cp312-macosx_10_12_x86_64.whl 321.6 kB CPython 3.12 CPython 3.12 macOS 10.12+ x86-64 Details
spdist-0.1.3-cp311-none-win_amd64.whl 196.9 kB CPython 3.11 none Windows x86-64 Details
spdist-0.1.3-cp311-none-win32.whl 186.9 kB CPython 3.11 none Windows x86-32 Details
spdist-0.1.3-cp311-cp311-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB CPython 3.11 CPython 3.11 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-cp311-cp311-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB CPython 3.11 CPython 3.11 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-cp311-cp311-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB CPython 3.11 CPython 3.11 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-cp311-cp311-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB CPython 3.11 CPython 3.11 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-cp311-cp311-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB CPython 3.11 CPython 3.11 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-cp311-cp311-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB CPython 3.11 CPython 3.11 Linux glibc 2.12+ x86-32 Details
spdist-0.1.3-cp311-cp311-macosx_11_0_arm64.whl 345.1 kB CPython 3.11 CPython 3.11 macOS 11.0+ ARM64 Details
spdist-0.1.3-cp311-cp311-macosx_10_12_x86_64.whl 325.0 kB CPython 3.11 CPython 3.11 macOS 10.12+ x86-64 Details
spdist-0.1.3-cp310-none-win_amd64.whl 196.8 kB CPython 3.10 none Windows x86-64 Details
spdist-0.1.3-cp310-none-win32.whl 187.1 kB CPython 3.10 none Windows x86-32 Details
spdist-0.1.3-cp310-cp310-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-cp310-cp310-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB CPython 3.10 CPython 3.10 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-cp310-cp310-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB CPython 3.10 CPython 3.10 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-cp310-cp310-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB CPython 3.10 CPython 3.10 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-cp310-cp310-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB CPython 3.10 CPython 3.10 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-cp310-cp310-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB CPython 3.10 CPython 3.10 Linux glibc 2.12+ x86-32 Details
spdist-0.1.3-cp310-cp310-macosx_11_0_arm64.whl 344.9 kB CPython 3.10 CPython 3.10 macOS 11.0+ ARM64 Details
spdist-0.1.3-cp310-cp310-macosx_10_12_x86_64.whl 325.0 kB CPython 3.10 CPython 3.10 macOS 10.12+ x86-64 Details
spdist-0.1.3-cp39-none-win_amd64.whl 197.0 kB CPython 3.9 none Windows x86-64 Details
spdist-0.1.3-cp39-none-win32.whl 187.4 kB CPython 3.9 none Windows x86-32 Details
spdist-0.1.3-cp39-cp39-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB CPython 3.9 CPython 3.9 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-cp39-cp39-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB CPython 3.9 CPython 3.9 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-cp39-cp39-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB CPython 3.9 CPython 3.9 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-cp39-cp39-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB CPython 3.9 CPython 3.9 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-cp39-cp39-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB CPython 3.9 CPython 3.9 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-cp39-cp39-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB CPython 3.9 CPython 3.9 Linux glibc 2.12+ x86-32 Details
spdist-0.1.3-cp38-none-win_amd64.whl 196.5 kB CPython 3.8 none Windows x86-64 Details
spdist-0.1.3-cp38-none-win32.whl 187.0 kB CPython 3.8 none Windows x86-32 Details
spdist-0.1.3-cp38-cp38-manylinux_2_17_x86_64.manylinux2014_x86_64.whl 1.2 MB CPython 3.8 CPython 3.8 Linux glibc 2.17+ x86-64 Details
spdist-0.1.3-cp38-cp38-manylinux_2_17_s390x.manylinux2014_s390x.whl 1.3 MB CPython 3.8 CPython 3.8 Linux glibc 2.17+ IBM System/390x Details
spdist-0.1.3-cp38-cp38-manylinux_2_17_ppc64le.manylinux2014_ppc64le.whl 1.3 MB CPython 3.8 CPython 3.8 Linux glibc 2.17+ PowerPC 64-le Details
spdist-0.1.3-cp38-cp38-manylinux_2_17_armv7l.manylinux2014_armv7l.whl 1.2 MB CPython 3.8 CPython 3.8 Linux glibc 2.17+ ARMv7l Details
spdist-0.1.3-cp38-cp38-manylinux_2_17_aarch64.manylinux2014_aarch64.whl 1.2 MB CPython 3.8 CPython 3.8 Linux glibc 2.17+ ARM64 Details
spdist-0.1.3-cp38-cp38-manylinux_2_12_i686.manylinux2010_i686.whl 1.2 MB CPython 3.8 CPython 3.8 Linux glibc 2.12+ x86-32 Details

Total release size: 68.3 MB

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