PHPackages irrevion/science - PHPackages - PHPackages [Skip to content](#main-content)[PHPackages](/)[Directory](/)[Categories](/categories)[Trending](/trending)[Leaderboard](/leaderboard)[Changelog](/changelog)[Analyze](/analyze)[Collections](/collections)[Log in](/login)[Sign up](/register) 1. [Directory](/) 2. / 3. [Utility & Helpers](/categories/utility) 4. / 5. irrevion/science ActiveLibrary[Utility & Helpers](/categories/utility) irrevion/science ================ PHP library for extended mathematical operations 0.0.5(2y ago)620MITPHPPHP >=8.1CI passing Since Nov 26Pushed 8mo ago1 watchersCompare [ Source](https://github.com/irrevion/science)[ Packagist](https://packagist.org/packages/irrevion/science)[ Docs](https://github.com/irrevion/science/)[ RSS](/packages/irrevion-science/feed)WikiDiscussions main Synced 1mo ago READMEChangelog (5)DependenciesVersions (4)Used By (0) science ======= [](#science) PHP library for extended mathematical operations. Its mostly focused on operations with Complex numbers, Quaternions and Linear Algebra. Key features and advantages --------------------------- [](#key-features-and-advantages) - Improved `Math::pow($base, $exponent)` function, able to raise any real or complex number to any real or complex exponent - Support for [Complex](docs/Math/Entities/Complex.md) numbers and Quaternions ( just like Python with [NumPy](https://numpy.org/) + [PyQuaternion](http://kieranwynn.github.io/pyquaternion/) + [SymPy](https://www.sympy.org/) ) - Physics units conversion (more units to be added...) using `(new Quantity(0.7, IAU::parsec))->convert(SI::metre)` Installation ------------ [](#installation) Library is available on [Packagist](https://packagist.org/packages/irrevion/science) and could be installed using CLI command: ``` composer require irrevion/science ``` Usage ----- [](#usage) If installed via composer include composer generated autoloader and add `use irrevion\science\Math\Math` statement for example. If you are not using composer or using a custom folder you can modify and include [custom autoloader](https://github.com/irrevion/science/blob/main/dev/autoloader.php). Example: ``` require_once("../autoloader.php"); use irrevion\science\Helpers\Utils; use irrevion\science\Math\Operations\Delegator; use irrevion\science\Math\Math; use irrevion\science\Math\Entities\{Scalar, Fraction, Imaginary, Complex}; ``` Examples -------- [](#examples) Scalar is a basic number class: ``` use irrevion\science\Math\Entities\Scalar; $n = new Scalar(5); print("Scalar to string is {$n}\nType of n is ".($n::class)."\n"); // Outputs: // Scalar to string is 5 // Type of n is irrevion\science\Math\Entities\Scalar ``` Basic arithmetic operations available: ``` $sum = $n->add(new Scalar(3)); $diff = $n->subtract(new Scalar(2)); $prod = $n->multiply(new Scalar(10)); $quotient = $n->divide(new Scalar(3)); ``` As mentioned above, significant enhancement of pow() function has been made: ``` use irrevion\science\Helpers\Utils; use irrevion\science\Math\Math; use irrevion\science\Math\Operations\Delegator; use irrevion\science\Math\Entities\{Scalar, Fraction, Imaginary, Complex}; $x = 2; $y = 3; $z = Math::pow($x, $y); print "{$x}**{$y} is {$z} ( ".Delegator::getType($z)." ) \n"; // Output: 2**3 is 8 ( integer ) $x = new Scalar(25); $y = new Scalar(2); $z = Math::pow($x, $y); print "{$x}**{$y} is {$z} ( ".($z::class)." ) \n"; // Output: 25**2 is 625 ( irrevion\science\Math\Entities\Scalar ) $x = new Scalar(25); $y = new Scalar(-2); $z = Math::pow($x, $y); print "{$x}**{$y} is {$z} ( ".($z::class)." ) \n"; // Output: 25**-2 is 0.0016 ( irrevion\science\Math\Entities\Scalar ) $x = new Scalar(-1.678903); $y = new Scalar(-2.5); $z = Math::pow($x, $y); print "{$x}**{$y} is {$z} ( ".($z::class)." ) \n"; // Output: -1.678903**-2.5 is [8.3827564317097E-17 + -0.27380160345158i] ( irrevion\science\Math\Entities\Complex ) // Vanilla PHP will give you: NAN // Python will give you: (8.382756431709652e-17-0.2738016034515765j) $x = new Scalar(Math::E); $y = new Imaginary(Math::PI); $z = Math::pow($x, $y); print "e**πi is {$z} ( ".($z::class)." ) \n"; // Output: e**πi is [-1 + 1.2246467991474E-16i] ( irrevion\science\Math\Entities\Complex ) // Python gives: (-1+1.2246467991473532e-16j) // Expected: -1 by formulae e**πi+1=0 $x = new Scalar(125); $y = new Fraction('1/3'); $z = Math::pow($x, $y); print "{$x}**{$y} is {$z} ( ".($z::class)." ) \n"; // Output: 125**1/3 is 5 ( irrevion\science\Math\Entities\Scalar ) $x = new Scalar(4); $y = new Complex(2.5, 2); $z = Math::pow($x, $y); print "{$x}**{$y} is {$z} ( ".($z::class)." ) \n"; // Output: 4**(2.5+2i) is [-29.845986458754 + 11.541970902054i] ( irrevion\science\Math\Entities\Complex ) // Python gives: (-29.845986458754275+11.541970902053793j) ``` It is also possible to get all roots of a number ``` $roots = (new Complex(-64))->roots(3); print Utils::printR($roots)." \n"; // Output: [[2 + 3.4641016151378i], [-4 + 4.8985871965894E-16i], [2 + -3.4641016151378i]] ``` So, as you can see, the following operations are supported: - raise of real number to a real power - raise of real number to a fractional power (2/3 means cubic root squared) - raise of negative number to a rational or real power (1/n is n-th root of a number) - raise of an any number to negative power (rational or real) - raise of a number to imaginary or complex power - raise of an any available value (entity-type instance: mixed/numeric, Scalar, Fraction, Imaginary, [Complex](docs/Math/Entities/Complex.md), ComplexPolar, QuaternionComponent, Quaternion, Vector, etc) at least to positive integer power Versions history ---------------- [](#versions-history) ~dev-main - Symbolic math implementation started - Physics: Added Rydberg energy, kilometre, attometre, angstrom and Bohr radius units v0.0.5 - Matrix inversion implemented (as well as methods for finding cofactor matrix, adjugate, minors, row echelon form, reduced REF, rank) - Complex power, exponentiation, natural logarythm implemented - Quaternions added - Physics: Added units Dalton, Apostilb, Planck energy v0.0.4 - Vector checking methods added (orthogonal, collinear, coplarar) - Angle between vectors calculation added - Physics: Angle units added v0.0.3 - Matrix determinant implemented - Physics: New units added (Ohm, Farad, Watt, etc) v0.0.2 - Added units in physics - Fixed fallback autoloader - Implemented search by unit entity in physical unit categories v0.0.1 - Basic entities implemented - Composer requirements are met Documentation ------------- [](#documentation) - [Math](docs/Math/Math.md) - Numbers, Entities & Matrices - [NaN](docs/Math/Entities/NaN.md) - [Scalar](docs/Math/Entities/Scalar.md) - [Fraction](docs/Math/Entities/Fraction.md) - [Imaginary](docs/Math/Entities/Imaginary.md) - [Complex](docs/Math/Entities/Complex.md) - [ComplexPolar](docs/Math/Entities/ComplexPolar.md) - [QuaternionComponent](docs/Math/Entities/QuaternionComponent.md) - [Quaternion](docs/Math/Entities/Quaternion.md) - [Vector](docs/Math/Entities/Vector.md) - [Matrix](docs/Math/Transformations/Matrix.md) - Symbolic Math - [Symbols](docs/Math/Symbols/Symbols.md) - Operations - [Expressions](docs/Math/Symbols/Expressions.md) - [Physics](docs/Physics/Physics.md) - [Quantity](docs/Physics/Entities/Quantity.md) - Helpers - Utils - miscellaneous functions toolbox - Delegator - type manager and delegator - [R - array-like object constructor](docs/Helpers/R.md) - M - 2-dimensional R ### Health Score 28 — LowBetter than 54% of packages Maintenance42 Moderate activity, may be stable Popularity11 Limited adoption so far Community7 Small or concentrated contributor base Maturity43 Maturing project, gaining track record Bus Factor1 Top contributor holds 100% of commits — single point of failure How is this calculated?**Maintenance (25%)** — Last commit recency, latest release date, and issue-to-star ratio. Uses a 2-year decay window. **Popularity (30%)** — Total and monthly downloads, GitHub stars, and forks. Logarithmic scaling prevents top-heavy scores. **Community (15%)** — Contributors, dependents, forks, watchers, and maintainers. Measures real ecosystem engagement. **Maturity (30%)** — Project age, version count, PHP version support, and release stability. ### Release Activity Cadence Every ~29 days Total 3 Last Release 837d ago ### Community Maintainers ![](https://www.gravatar.com/avatar/9139238b1781c81f17dd23421125a5f88d4ca20b2f391827da8a0e61ca0e6f52?d=identicon)[irrevion](/maintainers/irrevion) --- Top Contributors [![irrevion](https://avatars.githubusercontent.com/u/19818449?v=4)](https://github.com/irrevion "irrevion (162 commits)") --- Tags complex-numberslinear-algebramathmatrixphysicsquaternionscienceunits-convertervectorvectormatrixmathlinear algebrasciencephysicsquaternioncompex-numbersunits-converter ### Embed Badge ![Health badge](/badges/irrevion-science/health.svg) ``` [![Health](https://phpackages.com/badges/irrevion-science/health.svg)](https://phpackages.com/packages/irrevion-science) ``` ### Alternatives [markrogoyski/math-php Math Library for PHP. 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