UserManual:Tools:Formulas
Draft Mode - Formulas
Formulas
Below you'll find some examples and tips how you can use the formulas to create your pattern
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
and1
. The function contains a single calculation that returns the number of radians representing an<angle>
between-90deg
and90deg
. - E.g.: asin(-1) = -1.5708
- It returns the inverse sine of a value, given a ratio of a triangle's opposite side over its hypotenuse. The
- 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
- Returns the inverse hyperbolic sine of the elements of
- 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
- Returns the inverse hyperbolic tangent of the elements of
- 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
- Returns the icosine of the elements of
- 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
- Returns the hyperbolic cosine of the elements of
- 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)
or
- exp(0) = 1
- exp(2) = 7.38906
- The exponential function is a mathematical function denoted by f(x)
- 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
- The
- 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)
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