mql5-skills/skills/mql5/references/docs/08-math/0594-math.md

Mathematical Functions

A set of mathematical and trigonometric functions.

Math functions were originally designed to perform relevant operations on scalar values. From this build on, most of the functions can be applied to matrices and vectors. These include MathAbs, MathArccos, MathArcsin, MathArctan, MathCeil, MathCos, MathExp, MathFloor, MathLog, MathLog10, MathMod, MathPow, MathRound, MathSin, MathSqrt, MathTan, MathExpm1, MathLog1p, MathArccosh, MathArcsinh, MathArctanh, MathCosh, MathSinh, and MathTanh. Such operations imply element-wise handling of matrices or vectors. Example:

//---
  matrix a= {{1, 4}, {9, 16}};
  Print("matrix a=\n",a);
  a=MathSqrt(a);
  Print("MatrSqrt(a)=\n",a);
  /*
   matrix a=
   [[1,4]
    [9,16]]
   MatrSqrt(a)=
   [[1,2]
    [3,4]]
  */

For MathMod and MathPow, the second element can be either a scalar or a matrix/vector of the appropriate size.

Function	Action
MathAbs	Returns absolute value (modulus) of the specified numeric value
MathArccos	Returns the arc cosine of x in radians
MathArcsin	Returns the arc sine of x in radians
MathArctan	Returns the arc tangent of x in radians
MathArctan2	Return the angle (in radians) whose tangent is the quotient of two specified numbers
MathClassify	Returns the type of a real number
MathCeil	Returns integer numeric value closest from above
MathCos	Returns the cosine of a number
MathExp	Returns exponent of a number
MathFloor	Returns integer numeric value closest from below
MathLog	Returns natural logarithm
MathLog10	Returns the logarithm of a number by base 10
MathMax	Returns the maximal value of the two numeric values
MathMin	Returns the minimal value of the two numeric values
MathMod	Returns the real remainder after the division of two numbers
MathPow	Raises the base to the specified power
MathRand	Returns a pseudorandom value within the range of 0 to 32767
MathRound	Rounds of a value to the nearest integer
MathSin	Returns the sine of a number
MathSqrt	Returns a square root
MathSrand	Sets the starting point for generating a series of pseudorandom integers
MathTan	Returns the tangent of a number
MathIsValidNumber	Checks the correctness of a real number
MathExpm1	Returns the value of the expression MathExp(x)-1
MathLog1p	Returns the value of the expression MathLog(1+x)
MathArccosh	Returns the hyperbolic arccosine
MathArcsinh	Returns the hyperbolic arcsine
MathArctanh	Returns the hyperbolic arctangent
MathCosh	Returns the hyperbolic cosine
MathSinh	Returns the hyperbolic sine
MathTanh	Returns the hyperbolic tangent
MathSwap	Change the order of bytes in the ushort /uint/ushort types value