Description
Meta mathematic
metamath is a tiny headeronly library. It can be used for symbolic computations on singlevariable functions, such as dynamic computations of derivatives. The operator precedence rules are naturally handled by the compiler. The library could be useful for building custom DSL's in C++.
func.h contains definitions for some of the cmath functions: Sin/Cos, Ln, Pow, Abs, Sqrt, Exp, more to come...
Function composition is supported.
metamath alternatives and similar libraries
Based on the "Math" category.
Alternatively, view metamath alternatives based on common mentions on social networks and blogs.

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TinyExpr
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ExprTK
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MIRACL
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linmath.h
a lean linear math library, aimed at graphics programming. Supports vec3, vec4, mat4x4 and quaternions 
NT2
DISCONTINUED. A SIMDoptimized numerical template library that provides an interface with MATLABlike syntax. [Boost] 
LibTomMath
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Xerus
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SLIMCPP
Simple Long Integer Math for C++. Lightweight crossplatform headeronly library what implements big integer arithmetic in С++17. 
Mission : Impossible (AutoDiff)
A concise C++17 implementation of automatic differentiation (operator overloading) 
GMP
A C/C++ library for arbitrary precision arithmetic, operating on signed integers, rational numbers, and floatingpoint numbers. [LGPL3 & GPL2] 
Armadillo
A high quality C++ linear algebra library, aiming towards a good balance between speed and ease of use. The syntax (API) is deliberately similar to Matlab. [MPL2]
InfluxDB  Power RealTime Data Analytics at Scale
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README
metamath
Meta mathematic
metamath is a tiny headeronly library. It can be used for symbolic computations on singlevariable functions, such as dynamic computations of derivatives. The operator precedence rules are naturally handled by the compiler. The library could be useful for building custom DSL's in C++.
func.h contains definitions for some of the cmath functions: Sin/Cos, Ln, Pow, Abs, Sqrt, Exp, more to come... Arithmetic operations with functions are supported:
auto f1 = 3 * x;
auto f2 = Ln(x);
auto f = f1 + f2;
auto y1 = f(2);
auto y2 = f(4);
as well as function composition:
auto f = Ln(x);
auto g = 3 * x;
auto h = f(g);
auto y1 = h(2);
Examples of Functions and Derivatives
Example:
using namespace metamath;
auto f = 3 * x * x;
std::cout << "f(x) = " << f << std::endl;
std::cout << "f(4) = " << f(4.f) << std::endl;
std::cout << "" << std::endl;
// take derivative
auto df = derivative(f);
std::cout << "f`(x) = " << df << std::endl;
std::cout << "f`(4) = " << df(4.f) << std::endl;
This will produce the following output:
f(x) = 3 * x * x
f(4) = 48

f`(x) = ((0 * x + 3) * x + 3 * x)
f`(4) = 24
Example:
auto f = 4 * Sin(2 * x);
std::cout << "f(x) = " << f << std::endl;
std::cout << "f(pi) = " << f(M_PI) << std::endl;
std::cout << "f(pi/4) = " << f(M_PI/4.f) << std::endl;
std::cout << "" << std::endl;
//take derivative
auto df = derivative(f);
std::cout << "f`(x) = " << df << std::endl;
std::cout << "f`(pi) = " << df(M_PI) << std::endl;
std::cout << "f`(pi/4) = " << df(M_PI/4.f) << std::endl;
This will produce the following output:
f(x) = 4 * sin(2 * x)
f(pi) = 6.99382e07
f(pi/4) = 4

f`(x) = (0 * sin(2 * x) + 4 * cos(2 * x) * (0 * x + 2))
f`(pi) = 8
f`(pi/4) = 3.49691e07
Build
Requirements
C++14 or later
Steps to build the sample
 Suppose you cloned to [HOME]/work/metamath
For outofsource, create a build folder in [HOME]/work, and go there.
$mkdir build $cd build
Run cmake
$cmake ../metamath
Build it
$make
You can now run a sample (the sample source is in metamath/sample/)
$./sample/mms
The sample output:
Metamath sample ====== f(x) = 3 * x * x f(4) = 48  f`(x) = ((0 * x + 3) * x + 3 * x) f`(4) = 24 ====== ====== f(x) = 3 * x f(2) = 6 f(3) = 9  f`(x) = (0 * x + 3) f`(2) = 3 ====== ====== f(x) = ((1) / (x)) f(2) = 0.5 f(3) = 0.333333  f`(x) = (((0 * x  1)) / (x * x)) f`(2.f) = 0.25 ====== ====== f(x) = ((2 * (x + 1)) / (x)) f(2) = 3 f(3) = 2.66667  f`(x) = ((((0 * (x + 1) + 2 * 1) * x  2 * (x + 1))) / (x * x)) f`(2) = 0.5 ====== ====== f(x) = 4 * sin(2 * x) f(pi) = 6.99382e07 f(pi/4) = 4  f`(x) = (0 * sin(2 * x) + 4 * cos(2 * x) * (0 * x + 2)) f`(pi) = 8 f`(pi/4) = 3.49691e07 ====== ====== f(x) = sqrt(x) f(4) = 2 f(6) = 2.44949  f`(x) = ((1) / (2 * sqrt(x))) f`(4) = 0.25 f`(6) = 0.204124 ====== ====== f(x) = (3 * x^2) f(4) = 144 f(6) = 324  f`(x) = 2 * (3 * x^1) * (0 * x + 3) f`(4) = 72 f`(6) = 108 ====== ====== f(x) = e^(3 * x) f(4) = 162755 f(6) = 6.566e+07  f`(x) = e^(3 * x) * (0 * x + 3) f`(4) = 488264 f`(6) = 1.9698e+08 ====== ====== f(x) = ln(3 * x) f(4) = 2.48491 f(6) = 2.89037  f`(x) = ((1) / (3 * x)) * (0 * x + 3) f`(4) = 0.25 f`(6) = 0.166667 ====== ====== f(x) = 3 * x f(4) = 12 f(6) = 18  f`(x) = ((3 * x) / (3 * x)) * (0 * x + 3) f`(4) = 3 f`(6) = 3 ====== ====== f(x) = ln(x) g(x) = 3 * x h(x) = f(g(x)) = ln(3 * x) h(4) = 2.48491  h`(x) = ((1) / (3 * x)) * (0 * x + 3) h`(4) = 0.25 ======