UserManual:Tools:Formulas

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Formulas

Below you'll find some examples and tips how you can use the formulas to create your pattern

Important Note:

The formula editor is case sensitiv. So you need to spell the functions right. E.g. acosd (wrong) is not equal acosD (right)

List of buitlt-in functions

• abs ⇒ Absolute value, Usage: abs(x)
  • Returns the absolute value of a number. The absolute value of a number is the number without its sign.
  • E.g.: abs(-1) = 1
  • E.g.: abs(1) = 1
• acos ⇒ Inverse cosine function working with radians, Usage: acos(x)
  • The arccosine function is the inverse function of the cosine function and calculates the angle for a given cosine. X must be in the [-1..1] range. The result is an angle expressed in radians.
  • E.g.: acos(0.1) = 1.47063
• acosD ⇒ Inverse cosine function working with degrees, Usage: acosD(x)
  • For values of X in the interval [-1, 1], acosd(X) returns values in the interval [0, 180]
  • E.g.: acosD(-1) = 180
• acosh ⇒ Inverse Hyperbolic cosine function, Usage: acosh(x)
  • Returns the inverse hyperbolic cosine of a number. The number must be greater than 1.
  • E.g.: acosh(2) = 1.31696
• asin ⇒ Inverse sine function working with radians, Usage: asin(x)
  • It returns the inverse sine of a value, given a ratio of a triangle's opposite side over its hypotenuse. The asin()function is a trigonometric function that returns the inverse sine of a number between -1 and 1. The function contains a single calculation that returns the number of radians representing an <angle> between -90deg and 90deg.
  • E.g.: asin(-1) = -1.5708
• asinD ⇒ Inverse sine function working with degrees, Usage: asinD(x)
  • The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], asind(X) returns values in the interval [-90, 90].
  • E.g.: asinD(1) = 90
• asinh ⇒ Inverse Hyperbolic sine function, Usage: asinh(x)
  • Returns the inverse hyperbolic sine of the elements of X. All angles are in radians.
  • E.g.: asinh(90) = 5.19299
• atan ⇒ Inverse tangent function working with radians, Usage: atan(x)
  • The arctangent is the angle whose tangent is the number. The output is an angle in radians in the range -pi/2 to pi/2
  • atan(1) = 0.78538
• atanD ⇒ Inverse tangent function working with degrees, Usage: atanD(x)
  • The arctangent is the angle whose tangent is the number. The output is an angle in degrees in the interval [-90, 90]
  • atanD(1) = 45
• atanh ⇒ Inverse Hyperbolic tangent function, Usage: atanh(x)
  • Returns the inverse hyperbolic tangent of the elements of X. All angles are in radians.
  • atanh(0,99) = 2.64665
• avg ⇒ Mean value of all arguments, Usage: avg(arg 1; arg 2; ... arg n)
  • Computes the average for all values
  • avg(2;3;4) = 3
• cos ⇒ Cosine function working with radians, Usage: cos(angle 0 in radians)
  • Function The cosine of an angle, α, defined with reference to a right triangle is cos (α) = adjacent side hypotenuse = b h.
  • cos(1) = 0.540302
• cosD ⇒ Cosine function working with degrees, Usage: cosD(angle 0 in degrees)
  • Returns the icosine of the elements of X. All angles are in degrees.
  • cosD(180) = -1
• cosh ⇒ Hyperbolic cosine function, Usage: cosh(angle 0 in radians)
  • Returns the hyperbolic cosine of the elements of X. All angles are in radians.
  • cosh(0) = 1
• degTorad ⇒ Converts degrees to radians, Usage: degTorad(angle 0 in degrees)
  • degTorad converts it's argument deg (an angle in degrees) to radians. (pi radians is 180 degrees)
  • degTorad(180) = 3.14159
• exp ⇒ E raised to the power of x, Usage: exp(x) where e = 2.718
  • The exponential function is a mathematical function denoted by f(x)$f(x)=exp(x)$ or $f(x)=e^{x}$
  • exp(0) = 1
  • exp(2) = 7.38906
• fmod ⇒ Returns the floating-point remainder of x/y (rounded towards zero), Usage: fmod(x; y)
  • Returns the remainder of x divided by y.
  • fmod(3.3;2) = 1.3
• ln ⇒ Logarithm to base e (2.71828...), Usage: ln(x)
• log ⇒ Logarithm to base 10, Usage: log(x)
• log10 ⇒ Logarithm to base 10, Usage: log10(x)
• log2 ⇒ Logarithm to base 2, Usage: log2(x)
• max ⇒ Max of all arguments, Usage: max(arg 1; arg 2; ... arg n)
  • Returns the max value for all values
  • max(2;3;4) = 4
• min ⇒ Min of all arguments, Usage: min(arg 1; arg 2; ... arg n)
  • Returns the min value for all values
  • min(2;3;4) = 2
• radTodeg ⇒ Converts radians to degrees, Usage: radTodeg(angle 0 in radians)
  • radTodeg converts it's argument rad (an angle in radians) to degrees. (pi radians is 180 degrees)
  • radTodeg(3.14159) = 180
• rint ⇒ Round to nearest integer, Usage: rint(float x)
  • The rint() function rounds the argument to an integral value using the current rounding direction.
  • rint(2.3) = 2
  • If you want to round to one digit multiply the value first by 10 and divide the result by 10 again: rint(2.356*10)/10 = 2.4
• sign ⇒ Sign function -1 if x<0; 1 if x>0, Usage: sign(x)
• sin ⇒ Sine function working with radians, Usage: sin(angle 0 in radians)
• sinD ⇒ Sine function working with degrees, Usage: sinD(angle 0 in degrees)
• sinh ⇒ Hyperbolic sine function, Usage: sinh(angle 0 in radians)
• sqrt ⇒ Square root of a value, Usage: sqrt(x)
• sum ⇒ Sum of all arguments, Usage: sum(arg 1; arg 2; ... arg n)
  • Computes the sum for all values
  • sum(2;3;4) = 9
• tan ⇒ Tangent function working with radians, Usage: tan(angle 0 in radians)
• tanD ⇒ Tangent function working with degrees, Usage: tanD(angle 0 in degrees)
• tanh ⇒ Hyperbolic tangent function, Usage: tanh(angle 0 in radians)