HMathParser

Mathematical parser and evaluator made in pure Lua

Licensing

HMathParser is distibuted under MIT license and I do not apply any more restrictions to this project.

Feedback

This software is built as part of HFSoftware, and if you have any question or want to help with development - you could always join HFSoftware discord server and talk to me (if I am not busy). The same is for any licensing questions - if you are not sure about restrictions of license, feel free to ask. HFSoftware Discord server: https://discord.gg/dDzK7vS

Syntax

HMathParser evaluates expressions based on AST (Abstract Syntax Tree). It supports enclosed expressions (using ()), variables, binary and prefix operators, functions calls and other things.

All input expressions are splitted by ;, so 1 + 2; 32 + 34 will be two expressions. Result is based on last evaluated expression.

Variables are marked with $ prefix. There are some constants (variables) provided by the execution context automatically:

• $pi - pi constant;
• $e - Euler's constant;

Functions should be called as identifier with arguments: FunctionName(arg1, arg2, ...). Function name should not have $ before it. Functions that are provided automatically:

• abs(a) - returns an absolute value of a;
• sin(a) - returns sine of a (a is radians!);
• cos(a) - returns cosine of a (a is radians!);
• tan(a) - returns tangent of a (a is radians!);
• sinh(a) - returns hyperbolic sine of a;
• cosh(a) - returns hyperbolic cosine of a;
• tanh(a) - returns hyperbolic tangent of a;
• deg(a) - returns degree value of a (a is radians);
• rad(a) - returns radiant value of a (a is degrees);
• exp(a) - returns e^a (e is Euler's constant);
• floor(a) - returns a rounded to floor;
• ceil(a) - returns a rounded to ceil;
• random() - returns random value from range (0; 1)
• random(a) - returns random value from range [1; a]
• random(a, b) - returns random value from range [a; b]
• sqrt(a) - returns square root of a;
• ln(a) - returns natural logarithm of a;
• log10(a) - returns decimal logarithm of a;
• log(a, b) - returns logarithm of a by b base
• min(...) - returns minimal of all passed arguments;
• max(...) - returns maximum of all passed arguments;

Binary operators (listed in the descendance of priority):

• a ** b, a ^ b - power operator;
• a band b, a & b - bit AND operator;
• a bor b, a | b - bit OR operator;
• a xor b, a ~^ b - bit XOR operator;
• a shl b, a << b - bit SHL operator (shift left);
• a shr b, a >> b - bit SHR operator (shift right);
• a * b - multiplication operator;
• a / b - division operator;
• a div b, a // b - floor division operator;
• a updiv b, a /^ b - ceil division operator;
• a mod b, a % b - modulo operator;
• a + b - addition operator;
• a - b - subtraction operator;
• a == b, a != b - equality comparison operators;
• a > b, a >= b, a < b, a <= b - comparison operators;
• a and b, a && b - boolean AND operator;
• a or b, a || b - boolean OR operator;
• a xor b - boolean XOR operator;
• a = b - assignment operator, a must be a variable (see variables format);

Prefix operators:

• -a - unary minus operator;
• bnot a, ~a - bit NOT operator;
• not a, !a - boolean NOT operator;