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Matheval is a mathematical expressions evaluator library written in C#. Allows to evaluate mathematical, boolean, string and datetime expressions

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About MathEval

NuGet version (org.matheval)

Matheval is a mathematical expressions evaluator library written in C#. Allows to evaluate mathematical, boolean, string and datetime expressions

Code is written in pure C#, run on the fly. We don't use any third party libraries or packages

If you get any bugs please let me know by creating a new issue.

Many thanks to our contributors:

Thanhrin (from Da Nang, VietNam)

Eduardo Salinas (from Huesca, Spain)

Installation

Using Package Manager

PM> Install-Package org.matheval -Version 1.0.0.3

Supported operators, contants, functions

Supported Operators

Operator Description
+ Additive operator / Unary plus / Concatenate string / Datetime addition
& Concatenate string
– Subtraction operator / Unary minus / Datetime subtraction
* Multiplication operator, can be omitted in front of an open bracket
/ Division operator
% Remainder operator (Modulo)
^ Power operator

Supported conditional statements

Conditional statement Description
IF(logical_condition, value_if_true, value_if_false) Example: `IF(2>1,"Pass","Fail")`
SWITCH(expression, val1,result1, [val2,result2], …, [default]) Example: `SWITCH(3+2,5,"Apple",7,"Mango",3,"Good","N/A")`

Supported logical and math functions

Function* Description
AND(logical1, [logical2], …) Determine if all conditions are TRUE
OR(logical1, [logical2], …) Determine if any conditions in a test are TRUE
NOT(_logical_) To confirm one value is not equal to another
XOR(logical1, [logical2], …) Exclusive OR function
SUM(number1, [number2],…) Return sum of numbers supplied
AVERAGE(number1, [number2],…) Return average of numbers supplied
MIN(number1, [number2],…) Return the smallest value from the numbers supplied
MAX(number1, [number2],…) Return the biggest value from the numbers supplied
MOD(number, divisor) Get remainder of two given numbers after division operator.
ROUND(number, num_digits) Returns the rounded approximation of given number using half-even rounding mode ( you can change to another rounding mode)
FLOOR(number, significance) Rounds a given number towards zero to the nearest multiple of a specified significance
`CEILING`(number, significance) Rounds a given number away from zero, to the nearest multiple of a given number
POWER(number, power) Returns the result of a number raised to a given power
RAND() Produces a random number between 0 and 1
SIN(number) Returns the trigonometric sine of the angle given in radians
SINH(number) Returns the hyperbolic sine of a number
ASIN(number) Returns the arc sine of an angle, in the range of -pi/2 through pi/2
COS(number) Returns the trigonometric cos of the angle given in radians
COSH(number) Returns the hyperbolic cos of a number
ACOS(number) Returns the arc cosine of an angle, in the range of 0.0 through pi
TAN(number) Returns the tangent of the angle given in radians
TANH(number) Returns the hyperbolic tangent of a number
ATAN(number) Returns the arc tangent of an angle given in radians
ATAN2(x_number, y_number) Returns the arctangent from x- and y-coordinates
COT(number) Returns the cotangent of an angle given in radians.
COTH(number) Returns the hyperbolic cotangent of a number
SQRT(number) Returns the correctly rounded positive square root of given number
LN(number) Returns the natural logarithm (base _e_) of given number
LOG10(number) Returns the logarithm (base 10) of given number
EXP(number) Returns e raised to the power of given number
ABS(number) Returns the absolute value of given number
FACT(number) Returns the factorial of a given number
SEC(number) Returns the secant of an angle given in radians
CSC(number) Returns the cosecant of an angle given in radians
PI() Return value of Pi
RADIANS(degrees) Convert degrees to radians
DEGREES(radians) Convert radians to degrees
INT(number) Returns the Integer value of given number

Supported Constants

Constant Description
e The value of _e_
PI The value of _PI_
TRUE The boolean true value
FALSE The boolean false value
NULL The null value

Supported text functions

Function Description
LEFT(text, num_chars) Extracts a given number of characters from the left side of a supplied text string
RIGHT(text, num_chars) Extracts a given number of characters from the right side of a supplied text string
MID(text, start_num, num_chars) Extracts a given number of characters from the middle of a supplied text string
REVERSE(text) Reverse a string
ISNUMBER(text) Check if a value is a number
LOWER(text) Converts all letters in the specified string to lowercase
UPPER(text) Converts all letters in the specified string to uppercase
PROPER(text) Capitalizes words given text string
TRIM(text) Removes extra spaces from text
LEN(text) Returns the length of a string/ text
TEXT(value, [format_text]) Convert a numeric value into a text string. You can use the TEXT function to embed formatted numbers inside text Example: `
TEXT(123) -> 123

TEXT(123) -> 123

TEXT(DATEVALUE("2021-01-23"),"dd-MM-yyyy") -> 23-01-2021

TEXT(DATEVALUE("2021-01-23"),"dd-MM-yyyy") -> 23-01-2021

TEXT(2.61,"hh:mm") -> 14:38

TEXT(2.61,"hh:mm") -> 14:38

TEXT(2.61,"[hh]") -> 62

TEXT(2.61,"[hh]") -> 62

TEXT(2.61,"hh-mm-ss") -> 14-38-24

TEXT(2.61,"hh-mm-ss") -> 14-38-24

TEXT(DATEVALUE("2021-01-03")-DATEVALUE("2021-01-01"),"[h]") -> 48

TEXT(DATEVALUE("2021-01-03")-DATEVALUE("2021-01-01"),"[h]") -> 48

TEXT(TIME(12,00,00)-TIME(10,30,10),"hh hours and mm minutes and ss seconds") -> "01 hours and 29 minutes and 50 seconds"

`TEXT(TIME(12,00,00)-TIME(10,30,10),"hh hours and mm minutes and ss seconds") -> "01 hours and 29 minutes and 50 seconds"``

REPLACE(old_text, start_num, num_chars, new_text) Replaces characters specified by location in a given text string with another text string
SUBSTITUTE(text, old_text, new_text) Replaces a set of characters with another
FIND(find_text, within_text, [start_num]) Returns the location of a substring in a string (case sensitive)
SEARCH(find_text, within_text, [start_num]) Returns the location of a substring in a string (case insensitive)
CONCAT(text1, text2, text3,…) Combines the text from multiple strings
ISBLANK(text) Returns TRUE when a given string is null or empty, otherwise return FALSE
REPT(text, repeat_time) Repeats characters a given number of times
CHAR(char_code) Return character from ascii code
CODE(char) Returns a ascii code of a character
VALUE(text) Convert numbers stored as text to numbers

Usage examples

Basic evaluator

using System;
using org.matheval;
					
public class Program
{
	public static void Main()
	{
		Expression expression = new Expression("(a + b) / 2 ");
		expression.Bind("a", 3);
		expression.Bind("b",5);
		Object value = expression.Eval();
		Console.WriteLine("Result: "+value); //Result: 4
		
	}
}

Conditional statements

IF/ELSE

using System;
using org.matheval;
					
public class Program
{
	public static void Main()
	{
		Expression expression = new Expression("IF(time>8, (HOUR_SALARY*8) + (HOUR_SALARY*1.25*(time-8)), HOUR_SALARY*time)");
		//bind variable
		expression.Bind("HOUR_SALARY", 10);
		expression.Bind("time", 9);
		//eval
		Decimal salary = expression.Eval<Decimal>();	
		Console.WriteLine(salary); //return 92.5
	}
}

SWITCH/CASE

Expression expr = new Expression("SWITCH(name,1,'apple',2,'mango',3,'banana','N/A')");
//Bind variable
expr.Bind("name", 2);
//eval
String value = expr.Eval<String>(); //return "mango"

Validate expression

Expression expression = new Expression("SUM(1,2,3) + true");
List<String> errors = expression.GetError(); 
if(errors.Count > 0)
{
  foreach(String error in errors)
  {
  	Console.WriteLine(error);
  }
}	

Get variables that appear in the expression

Expression expression = new Expression("sin(pi/2+x)-cos(x) = a");
//validate expression
List<String> errors = expression.GetError();
if (errors.Count == 0)
{
 // get variables
 List<String> variables = expression.getVariables();
 foreach (String variable in variables)
 {
  Console.WriteLine(variable); // will print x, a
 }
}

Disable functions

Expression expression = new Expression();
expression.DisableFunction("SIN");
expression.DisableFunction("COS");
Expression expression = new Expression();
expression.DisableFunction(new string[] { "SIN", "COS" });

Work with number expression

Scale and rounding mode

Use setScale() method to set number of digits to the right of the decimal point. Use setRoundingMode() method to set rounding mode. You can choose 1 of the following options:

MidpointRounding.AwayFromZero
MidpointRounding.ToEven
MidpointRounding.ToZero
Expression expression = new Expression("pi/2");
expression.SetScale(3);
expression.SetRoundingMode(MidpointRounding.ToEven);
Decimal value = expression.Eval<Decimal>();//return 1.571

Min, max, sum, avg

Expression expr = new Expression("MIN(a,b,c)");
expr.Bind("a", 2);
expr.Bind("b", 3);
expr.Bind("c", 16);
int value = expr.Eval<int>(); // return 2
Expression expr = new Expression("MAX(a)");
expr.Bind("a", new List<Decimal> { 10m, 9.6m, 135, 724.2m, 6m, -4m });
Decimal value = expr.Eval<Decimal>(); // return 724.2
Expression expr = new Expression("SUM(a,b,c)");
expr.Bind("a", 2d);
expr.Bind("b", 3d);
expr.Bind("c", 16d);
Double sum = expr.Eval<Double>(); // return 21
expr.SetFomular("AVERAGE(a,b,c)");
Double avg = expr.Eval<Double>(); // return 7
Expression expr = new Expression("SUM(a)");
expr.Bind("a", new List<Decimal> { 2m, 3m, 16m });
Decimal sum = expr.Eval<Decimal>(); // return 21
expr.SetFomular("AVERAGE(a)");
Decimal avg = expr.Eval<Decimal>(); // return 7
using System;
using org.matheval;
					
public class Program
{
	public static void Main()
	{
		Expression expr = new Expression("MIN(2,3,16)");
		int min = expr.Eval<int>(); 
		Console.WriteLine(min);// return 2 (min)
		
		expr.SetFomular("Max(2,3,16)");
		int max = expr.Eval<int>(); 
		Console.WriteLine(max);// return 16 (max)
		
		expr.SetFomular("Sum(2,3,16)");
		decimal sum = expr.Eval<decimal>(); 
		Console.WriteLine(sum);// return 21	(sum)
		
		expr.SetFomular("average(2,3,16)");
		decimal average = expr.Eval<decimal>(); 
		Console.WriteLine(average);// return 7 (average)	
	}
}

Round, floor, ceiling

using System;
using org.matheval;
					
public class Program
{
	public static void Main()
	{
		Expression expr = new Expression("ROUND(2.149, 1)");
		Object value = expr.Eval<Decimal>(); 
		Console.WriteLine("ROUND(2.149, 1) = "+value); //return 2.1
		
		expr = new Expression("FLOOR(2.149)");
		value = expr.Eval(); 
		Console.WriteLine("FLOOR(2.149) = "+value); //return 2	
		
		expr = new Expression("FLOOR(3.7,2)");
		value = expr.Eval(); 
		Console.WriteLine("FLOOR(3.7,2) = "+value);	//return 2
		
		expr = new Expression("CEILING(2.149)");
		value = expr.Eval(); 
		Console.WriteLine("CEILING(2.149) = "+value); //return 3
		
		expr = new Expression("CEILING(1.5, 0.1)");
		value = expr.Eval(); 
		Console.WriteLine("CEILING(1.5, 0.1) = "+value); //return 1.5	
	}
}

Trigonometry

Expression expr = new Expression('SIN(PI())^2+COS(PI())^2');
Object value = expr.Eval(); //return 1
Expression expr = new Expression("sin(a) - cos(a) = SQRT(2) * sin(a - pi / 4)");
bool value = expr.Bind("a", Math.PI/5).Eval<bool>(); //return true
using System;
using org.matheval;
					
public class Program
{
	public static void Main()
	{
		Expression expr = new Expression("tan(a)^3-((3*sin(a)-sin(3*a))/(3*cos(a)+cos(3*a)))");
		Decimal value = expr.Bind("a", Math.PI/6).Eval<Decimal>(); 
		Console.WriteLine(value); //return 0		
	}
}

Unary operator

Expression expr = new Expression("3--2+--3-(-(++2))");
Object value = expr.Eval(); //return 10

Deal with string

using System;
using org.matheval;
					
public class Program
{
	public static void Main()
	{
		Expression taxExpr = new Expression("IF(LOWER(TAX_CODE)='vat',amount*10/100,IF(LOWER(TAX_CODE)='gst',amount*15/100,0))");
		taxExpr.Bind("TAX_CODE","GST");
		taxExpr.Bind("amount", 5005m);
		Decimal value = taxExpr.Eval<Decimal>();
		Console.WriteLine(value);
	}
}

Left, right

Expression expr = new Expression("IF(VALUE(LEFT(date,4))<2020,'n/a','generation of ' & LEFT(date,4))");
expr.Bind("date", "2022-01-20");
String value = expr.Eval<String>();

Calculate tax

Expression taxExpr = new Expression("IF(LOWER(TAX_CODE)='vat',amount*10/100,IF(LOWER(TAX_CODE)='gst',amount*15/100,0))");
taxExpr.Bind("TAX_CODE","GST");
taxExpr.Bind("amount", 5005m);
Decimal value = taxExpr.Eval<Decimal>();

Concatenate strings

using System;
using org.matheval;
					
public class Program
{
	public static void Main()
	{
		Expression expr = new Expression("CONCAT('The United States of ', 'America')");
		String value = expr.Eval<String>();	
		Console.WriteLine(value);//The United States of America	
	}
}

Datetime

December 30, 1899 date system

We use 1899 date system, the first day that is supported is December 30, 1899. Any date you supply to this library will be converted into a serial number that represents the number of elapsed days starting from December 30, 1899. Look at the sample below:

Expression expr = new Expression("DATETIME(2025,01,02,12,11,10)");
Decimal serialDate = expr.Eval<Decimal>(); // return 45659.507755 (days elapsed from December 30, 1899)
DateTime datetime = expr.Eval<DateTime>(); // return 2025/01/02 12:11:10

Setting holidays and weekend for expression context

Expression expr = new Expression("NETWORKDAYS(B5,C5)");
expr.SetHolidays(
        new DateTime[] {
            new DateTime(2017,11,23),
            new DateTime(2017, 12, 25),
            new DateTime(2018, 1, 1)
        }
    );
expr.SetWeekends(new Int32[] { 1, 2, 3 }); //Sunday = 0, ..., Saturday = 6
expr.Bind("B5", new DateTime(2017, 1, 15));
expr.Bind("C5", new DateTime(2018, 1, 21));
Decimal value = expr.Eval<Decimal>(); //return 212

Calculate networkday

Expression expr = new Expression("NETWORKDAYS(DATEVALUE('2021-03-30'),DATEVALUE('2022-05-16'))");
int value = expr.Eval<int>(); // return 295
Expression expr = new Expression("NETWORKDAYS(startdate,enddate)");
expr.Bind("startdate", new DateTime(2021, 08, 11));
expr.Bind("enddate", new DateTime(2021, 10, 4));
Object value = expr.Eval(); // return 39

Calculates the number of days, months, or years between two dates.

Expression expr = new Expression("DATEDIF(DATEVALUE('2021-01-31'),DATEVALUE('2029-08-29'),'Y')");
Object value = expr.Eval(); // return 8
Expression expr = new Expression("DATEDIF(DATEVALUE('2021-01-31'),DATEVALUE('2029-08-29'),'M')");
Object value = expr.Eval(); // return 102
Expression expr = new Expression("DATEDIF(DATEVALUE('2021-01-31'),DATEVALUE('2029-08-29'),'D')");
Object value = expr.Eval(); // return 3132
Expression expr = new Expression("DATEDIF(DATEVALUE('2021-01-31'),DATEVALUE('2029-08-29'),'MD')");
Object value = expr.Eval(); // return 29

Calculates the number of days, hours, mins between two datetime.

Expression expr = new Expression("DATETIME(2021,2,28,15,50,0)-DATETIME(2021,2,21,23,0,0)");
Decimal value = expr.Eval<Decimal>(); // return 6.70139 (days)
Expression expr = new Expression("(DATETIME(2021,2,28,15,50,0)-DATETIME(2021,2,21,23,0,0))*24");
Decimal value = expr.Eval<Decimal>(); // return 160.8 (hours)
Expression expr = new Expression("(DATETIME(2021,2,28,15,50,0)-DATETIME(2021,2,21,23,0,0))*24*60");
Decimal value = expr.Eval<Decimal>(); // return 9650 (mins)

Calculates the number of days, hours, mins between two timespan.

Expression expr = new Expression("DATETIME(2021,2,28,15,50,0)-DATETIME(2021,2,21,23,0,0)");
Object value = expr.Eval(); // return 6.701389 (days)

Substract, add datetime

Expression expr = new Expression("DATETIME(2021,2,28,15,50,0)-DATETIME(2021,2,21,23,0,0)");
Object value = expr.Eval(); // return 6.701389 (days)
Expression expr = new Expression("DATE(2021,2,28)-DATE(2021,2,21)");
Object value = expr.Eval(); // return 7 (days)
Expression expr = new Expression("DATE(2021,9,20)+3");
DateTime value = expr.Eval<DateTime>(); // return 2021-09-23
Expression expr = new Expression("TIME(10,10,0)+TIME(10,10,0)");
TimeSpan value = expr.Eval<TimeSpan>(); // return 20:20:00

License

MIT license

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Matheval is a mathematical expressions evaluator library written in C#. Allows to evaluate mathematical, boolean, string and datetime expressions

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