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cordic

CORDIC Algorithm for Python

cordic is a high-performance Python library for evaluating trigonometric, hyperbolic, exponential, logarithmic, and root functions using the CORDIC (COordinate Rotation DIgital Computer) algorithm — an iterative method that uses only shifts, additions, and a small look-up table.

Quick example

import cordic

print(cordic.cos(1.0))  # ≈ 0.5403
print(cordic.exp(1.0))  # ≈ 2.7183
print(cordic.sqrt(2.0))  # ≈ 1.4142
print(cordic.arctan(1.0))  # ≈ 0.7854

Installation

pip install cordic

Requires Python 3.10+ and NumPy. See the full installation guide for uv, poetry, and source builds.

Documentation

Theory — CORDIC algorithm, rotation modes, convergence
Quickstart — runnable examples
API Reference — function signatures and parameters
References — literature citations

Routines

Function	Description
`arccos(t, n)`	Arccosine via CORDIC
`arcsin(t, n)`	Arcsine via CORDIC
`arctan(t, n)`	Arctangent via CORDIC
`cos(a, n)`	Cosine via CORDIC
`sin(a, n)`	Sine via CORDIC
`tan(a, n)`	Tangent via CORDIC
`exp(t, n)`	Exponential via CORDIC
`ln(t, n)`	Natural logarithm via CORDIC
`sqrt(t, n)`	Square root via CORDIC
`cbrt(t, n)`	Cube root via CORDIC
`multiply(x, y, n)`	Multiplication via CORDIC shift-and-add
`angle_shift(alpha, beta)`	Shift angle into $[\beta,, \beta + 2\pi)$

All functions accept an optional iteration count n (default 25).

References

Pitts Jarvis, "Implementing CORDIC Algorithms," Dr. Dobb's Journal, October 1990.
Jean-Michel Muller, Elementary Functions: Algorithms and Implementation, Second Edition, Birkhäuser, 2006, ISBN 978-0-8176-4372-0.
Allan Sultan, "CORDIC: How Hand Calculators Calculate," The College Mathematics Journal, 40(2), 87–92, March 2009.
Jack Volder, "The CORDIC Computing Technique," IRE Transactions on Electronic Computers, 8(3), 330–334, 1959.
Jack Volder, "The Birth of CORDIC," Journal of VLSI Signal Processing Systems, 25(2), 101–105, June 2000.
Anthony Williams, "Optimizing Math-Intensive Applications with Fixed-Point Arithmetic," Dr. Dobb's Journal, 33(4), 38–43, April 2008.

Attribution

The original C library was written by John Burkardt and is distributed under the LGPL-2.1 license.

License

LGPL-2.1 — see LICENSE.

Release files for cordic 0.1.1

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

Built distributions (wheels)

Table of built distributions (wheels) for cordic 0.1.1
File	Interpreter	ABI	Platform	Reset
cordic-0.1.1-cp314-cp314t-win_amd64.whl 42.6 kB Apr 3, 2026	CPython 3.14	CPython 3.14 free-threading	Windows x86-64	Details
cordic-0.1.1-cp314-cp314t-musllinux_1_2_x86_64.whl 32.2 kB Apr 3, 2026	CPython 3.14	CPython 3.14 free-threading	Linux musl 1.2+ x86-64	Details
cordic-0.1.1-cp314-cp314t-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl 31.6 kB Apr 3, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64	Details
cordic-0.1.1-cp314-cp314t-macosx_15_0_arm64.whl 25.4 kB Apr 3, 2026	CPython 3.14	CPython 3.14 free-threading	macOS 15.0+ ARM64	Details
cordic-0.1.1-cp314-cp314-win_amd64.whl 41.8 kB Apr 3, 2026	CPython 3.14	CPython 3.14	Windows x86-64	Details
cordic-0.1.1-cp314-cp314-musllinux_1_2_x86_64.whl 31.7 kB Apr 3, 2026	CPython 3.14	CPython 3.14	Linux musl 1.2+ x86-64	Details
cordic-0.1.1-cp314-cp314-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl 31.0 kB Apr 3, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64	Details
cordic-0.1.1-cp314-cp314-macosx_15_0_arm64.whl 24.8 kB Apr 3, 2026	CPython 3.14	CPython 3.14	macOS 15.0+ ARM64	Details
cordic-0.1.1-cp313-cp313-win_amd64.whl 40.7 kB Apr 3, 2026	CPython 3.13	CPython 3.13	Windows x86-64	Details
cordic-0.1.1-cp313-cp313-musllinux_1_2_x86_64.whl 31.7 kB Apr 3, 2026	CPython 3.13	CPython 3.13	Linux musl 1.2+ x86-64	Details
cordic-0.1.1-cp313-cp313-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl 31.0 kB Apr 3, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64	Details
cordic-0.1.1-cp313-cp313-macosx_15_0_arm64.whl 24.8 kB Apr 3, 2026	CPython 3.13	CPython 3.13	macOS 15.0+ ARM64	Details
cordic-0.1.1-cp312-cp312-win_amd64.whl 40.7 kB Apr 3, 2026	CPython 3.12	CPython 3.12	Windows x86-64	Details
cordic-0.1.1-cp312-cp312-musllinux_1_2_x86_64.whl 31.7 kB Apr 3, 2026	CPython 3.12	CPython 3.12	Linux musl 1.2+ x86-64	Details
cordic-0.1.1-cp312-cp312-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl 31.0 kB Apr 3, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.28+ x86-64, Linux glibc 2.17+ x86-64	Details
cordic-0.1.1-cp312-cp312-macosx_15_0_arm64.whl 24.9 kB Apr 3, 2026	CPython 3.12	CPython 3.12	macOS 15.0+ ARM64	Details
cordic-0.1.1-cp311-cp311-win_amd64.whl 40.6 kB Apr 3, 2026	CPython 3.11	CPython 3.11	Windows x86-64	Details
cordic-0.1.1-cp311-cp311-musllinux_1_2_x86_64.whl 31.5 kB Apr 3, 2026	CPython 3.11	CPython 3.11	Linux musl 1.2+ x86-64	Details
cordic-0.1.1-cp311-cp311-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl 30.8 kB Apr 3, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64	Details
cordic-0.1.1-cp311-cp311-macosx_15_0_arm64.whl 24.7 kB Apr 3, 2026	CPython 3.11	CPython 3.11	macOS 15.0+ ARM64	Details
cordic-0.1.1-cp310-cp310-win_amd64.whl 40.5 kB Apr 3, 2026	CPython 3.10	CPython 3.10	Windows x86-64	Details
cordic-0.1.1-cp310-cp310-musllinux_1_2_x86_64.whl 31.5 kB Apr 3, 2026	CPython 3.10	CPython 3.10	Linux musl 1.2+ x86-64	Details
cordic-0.1.1-cp310-cp310-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl 30.8 kB Apr 3, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64	Details
cordic-0.1.1-cp310-cp310-macosx_15_0_arm64.whl 24.7 kB Apr 3, 2026	CPython 3.10	CPython 3.10	macOS 15.0+ ARM64	Details

Total release size: 772.7 kB

Release files / cordic-0.1.1-cp314-cp314t-win_amd64.whl

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Release files / cordic-0.1.1-cp313-cp313-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl

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Upload date	Apr 3, 2026
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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing platform: GitHub Actions
Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp313-cp313-macosx_15_0_arm64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing platform: GitHub Actions
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Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp312-cp312-win_amd64.whl

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Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp312-cp312-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp312-cp312-macosx_15_0_arm64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp311-cp311-win_amd64.whl

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Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp311-cp311-musllinux_1_2_x86_64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp311-cp311-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl

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Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing platform: GitHub Actions
Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp311-cp311-macosx_15_0_arm64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp310-cp310-win_amd64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp310-cp310-musllinux_1_2_x86_64.whl

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Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp310-cp310-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl

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Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing platform: GitHub Actions
Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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Release files / cordic-0.1.1-cp310-cp310-macosx_15_0_arm64.whl

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Uploaded using Trusted Publishing? What is trusted publishing?	Yes
Uploaded via	`twine/6.1.0 CPython/3.13.7`

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Publishing platform: GitHub Actions
Publishing repository: github.com/eggzec/cordic
Publishing commit: github.com/eggzec/cordic/tree/c5627ba4b6d4aa82b93ecd644a5b3cedd137c5dd

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SHA-256 checksum: 4ab38fa10ba02b2730b0f9464710b367aa574ddf2239a5943a3a124c5aca06f3 Verifying attestations

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0.1.1 This release

Apr 3, 2026 24 release files

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0.1.0

Apr 3, 2026 24 release files

Archived

0.0.1

Apr 2, 2026 2 release files

cordic 0.1.1

cordic

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