Math functions

Analytica User GuideUsing ExpressionsMath functions

These functions can be accessed from the Math library from the Definition menu.

Abs(x): Returns the absolute value of x. When x in complex, returns the magnitude, see Complex number functions.

Abs(180) → 180

Abs(-210) → 210

Ceil(x): Returns the smallest integer that is greater than or equal to x.

Ceil(3.1) → 4

Ceil(5) → 5

Ceil(-2.9999) → -2

Ceil(-7) → -7

Ceil(x,digits): Returns the smallest number with the indicated of digits to the right of the decimal that is greater than or equal to x.

Ceil(Pi,4) → 3.1416

Ceil(-12345,-2) → -12300

Floor(x): Returns the largest integer that is smaller than or equal to x.

Floor(2.999) → 2

Floor(3) → 3

Floor(-2.01) → -3

Floor(-5) → -5

Floor(x,digits): Returns the largest number with the indicated number of digits past the decimal that is less than or equal to x.

Floor(Pi,4) → 3.1415

Floor(-12345,-2) → -12400

Round(x): Returns the value of x rounded to the nearest integer.

Round(1.8) → 2

Round(-2.8) → -3

Round(1.499) → 1

Round(-2.499) → -2

Round(x,digits): Rounds the value of x to the indicated number of decimal digits to the right of the decimal point.

Round(Pi,1) → 3.100

Round(Pi,3) → 3.142

Round(14243.4,-2) → 14200

Note: The Number Format setting determines how many digits are included when a number is displayed, while Round(x,digits) returns a new rounded number so that the rounded value can be used in subsequent computations.

Exp(x): Returns the exponential of x, e raised to the power of x.

Exp(5) → 148.4

Exp(-4) → 0.01832

Ln(x): Returns the natural logarithm of x, which must be positive unless the system variable Enable-ComplexNumbers is set.

Ln(150) → 5.011

Ln(Exp(5)) → 5

Logten(x): Returns the logarithm to the base 10 of x, which must be positive unless the system variable EnableComplexNumbers is set.

Logten(180) → 2.255

Logten(10 ^ 30) → 30

Sign(x): Returns -1 when x is negative, 1 when x is positive, 0 when x is zero, and NaN when x is NaN.

Sign(-15.2) → -1

Sign(7.3) → 1

Sign(0)→ 0

Sign(0/0) → NaN

Sqr(x): Returns the square of x.

Sqr(5) → 25

Sqr(-4) → 16

Sqrt(x): Returns the square root of x. x must be positive unless the system variable EnableComplex-Numbers is set.

Sqrt(25) → 5

Sqrt(-1)→ NAN

Sqrt(-1) → 1j { when EnableComplexNumbers is set }

Mod(x, y): Returns the remainder (modulus) of x/y.

Mod(7, 3)→ 1

Mod(12, 4) → 0

Mod(-14, 5) → -4

Factorial(x): Returns the factorial of x, which must be between 0 and 170.

Factorial(5) → 120

Factorial(0) → 1

If x is not an integer, it rounds x to the nearest integer before taking the factorial.

Cos(x), Sin(x), Tan(x): Returns the cosine, sine, and tangent of x, x assumed in degrees.

Cos(180) → -1

Cos(-210) → -0.866

Sin(30) → 0.5

Sin(-45) → -0.7071

Tan(45) → 1

Arctan(x): Returns the arctangent of x in degrees (the inverse of Tan).

Arctan(0) → 0

Arctan(1) → 45

Arctan(Tan(45)) → 45

See also [[Advanced math functions|“Arccos(x), Arcsin(x), Arctan2(y, x)”]].

Degrees(r), Radians(d): Degrees gives degrees from radians, and radians gives radians from degrees

Degrees(Pi/2) → 90

Degrees(-Pi) → -180

Degrees(90) → -1.57079633

Degrees(180) → 3.141592654

See Also

Function calls and parametersMath functionsNumbers and text