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C++ Mathematical Expression Parsing And Evaluation Library https://www.partow.net/programming/exprtk/index.html
| Date | Stars |
|---|---|
| 2026-07-24 | 1006 |
| 2026-07-25 | 1006 |
| 2026-07-28 | 1007 |
| 2026-07-30 | 1007 |
| 2026-08-06 | 1007 |
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C++ Mathematical Expression Toolkit Library Documentation
Section 00 - Introduction
Section 01 - Capabilities
Section 02 - Example Expressions
Section 03 - Copyright Notice
Section 04 - Downloads & Updates
Section 05 - Installation
Section 06 - Compilation
Section 07 - Compiler Compatibility
Section 08 - Built-In Operations & Functions
Section 09 - Fundamental Types
Section 10 - Components
Section 11 - Compilation Options
Section 12 - Expression Structures
Section 13 - Variable, Vector & String Definition
Section 14 - Vector Processing
Section 15 - User Defined Functions
Section 16 - Expression Dependents
Section 17 - Hierarchies Of Symbol Tables
Section 18 - Unknown Unknowns
Section 19 - Enabling & Disabling Features
Section 20 - Expression Return Values
Section 21 - Compilation Errors
Section 22 - Runtime Library Packages
Section 23 - Helpers & Utils
Section 24 - Runtime Checks
Section 25 - Benchmarking
Section 26 - Exprtk Notes
Section 27 - Simple Exprtk Example
Section 28 - Build Options
Section 29 - Files
Section 30 - Language Structure
[SECTION 00 - INTRODUCTION]
The C++ Mathematical Expression Toolkit Library (ExprTk) is a simple
to use, easy to integrate and extremely efficient run-time
mathematical expression parsing and evaluation engine. The parsing
engine supports numerous forms of functional and logic processing
semantics and is easily extensible.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[SECTION 01 - CAPABILITIES]
The ExprTk expression evaluator supports the following fundamental
arithmetic operations, functions and processes:
(00) Types: Scalar, Vector, String
(01) Basic operators: +, -, *, /, %, ^
(02) Assignment: :=, +=, -=, *=, /=, %=
(03) Equalities &
Inequalities: =, ==, <>, !=, <, <=, >, >=
(04) Logic operators: and, mand, mor, nand, nor, not, or, shl, shr,
xnor, xor, true, false
(05) Functions: abs, avg, ceil, clamp, equal, erf, erfc, exp,
expm1, floor, frac, log, log10, log1p, log2,
logn, max, min, mul, ncdf, not_equal, root,
round, roundn, sgn, sqrt, sum, swap, trunc
(06) Trigonometry: acos, acosh, asin, asinh, atan, atanh, atan2,
cos, cosh, cot, csc, sec, sin, sinc, sinh,
tan, tanh, hypot, rad2deg, deg2grad, deg2rad,
grad2deg
(07) Control
structures: if-then-else, ternary conditional, switch-case,
return-statement
(08) Loop statements: while, for, repeat-until, break, continue
(09) String
processing: in, like, ilike, concatenation
(10) Optimisations: constant-folding, simple strength reduction and
dead code elimination
(11) Runtime checks: vector bounds, string bounds, loop iteration,
execution-time bounds and compilation process
checkpointing, assert statements
(12) Calculus: numerical integration and differentiation
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[SECTION 02 - EXAMPLE EXPRESSIONS]
The following is a short listing of infix format based mathematical
expressions that can be parsed and evaluated using the ExprTk library.
(01) sqrt(1 - (3 / x^2))
(02) clamp(-1, sin(2 * pi * x) + cos(y / 2 * pi), +1)
(03) sin(2.34e-3 * x)
(04) if(((x[2] + 2) == 3) and ((y + 5) <= 9), 1 + w, 2 / z)
(05) inrange(-2, m, +2) == if(({-2 <= m} and [m <= +2]), 1, 0)
(06) ({1/1}*[1/2]+(1/3)) - {1/4}^[1/5]+(1/6) - ({1/7}+[1/8]*(1/9))
(07) a * exp(2.2 / 3.3 * t) + c
(08) z := x + sin(2.567 * pi / y)
(09) u := 2.123 * {pi * z} / (w := x + cos(y / pi))
(10) 2x + 3y + 4z + 5w == 2 * x + 3 * y + 4 * z + 5 * w
(11) 3(x + y) / 2.9 + 1.234e+12 == 3 * (x + y) / 2.9 + 1.234e+12
(12) (x + y)3.3 + 1 / 4.Excerpt of 243,423 characters
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