Opis

Opis is a library for rational number and matrix arithmetic.

Author

Roy R. O. Okello

Email

Github

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Features

• Arbitrary Precision Integer Representation and Arithmetic
• Fractions

Usage

Cargo.toml

[dependencies]
opis = "5.4.0"

Module.rs

use opis::{ Bit, Integer, Fraction, Matrix };

API

Bit

Add a + b

And a & b

Eq a == a

Not !a

Or a | b

Xor a ^ b

Integer

Addition a + b, a += b

And a & b

Base2 Integer::from_bin("1010101"), a.to_bin()

Base10 Integer::from_dec("674755"), a.to_dec()

Base16 Integer::from_hex("00ABC012"), a.to_hex()

Bytes Integer::from(&bytes), a.into()

Comparision a < b, a <= b, a > b, a >= b

Division a / b?

Equality a == b

Extended Euclidean Algorithm a.ext_gcd(&b)

Extended Bits a.to_ext_bits(256)

Extended Bytes a.to_ext_bytes(32)

Linear Feedback Shift Register a.lfsr(1)?

Modulo: a.modulo(&m)

Modular Exponentiation: base.mod_pow(&exponent, &modulus)

Multiply a * b, a *= b

Negate a.negate()

Not !a

Or a | b

Exponentiation a.pow(e)

Remainder: a % b?

Shifts a << 1, a <<= 1, a >> 1, a >>= 1

Subtraction a - b, a -= b

Type Conversion 2_u8.into()

Fraction

Addition a + b, a += b

Comparison a < b, a <= b, a > b, a >= b

Division a / b?

Equality a == b

Multiplication a * b, a *= b

Reciprocal a.reciprocal()

Reduce a.reduce()

String Conversion Fraction::try_from("1/2")

Subtraction a - b, a -= b

Type Conversion 2_u8.into()

Matrix

Addition a + b

Cofactors a.cofactors(neg_one, one)

Determinant a.determinant()

Dimensions a.dimensions()

Equality a == b

Identity Matrix::identity(size, zero, one)

Inverse a.inverse(zero, one)

Minors a.minors()

Multiplication a * b

Subtraction a - b

Trace a.trace()

Transpose a.transpose()

License

Disclaimer

12023-05-07