UserManual:Tools:Formulas: Difference between revisions

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== Formulas ==

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

[[File:Advice.svg|left|frameless|50x50px]]Important Note:

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

=== List of buitlt-in functions ===

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** E.g.: asinh(90) = 5.19299

* '''atan''' '''⇒''' Inverse tangent function working with radians, Usage: '''<code>atan(x)</code>'''

** 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: '''<code>atanD(x)</code>'''

** 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: <code>'''atanh(x)'''</code>

** Returns the inverse hyperbolic tangent of the elements of <code>X</code>. All angles are in radians.

** atanh(0,99) = 2.64665

* '''avg''' '''⇒''' Mean value of all arguments, Usage: '''<code>avg(arg 1; arg 2; ... arg n)</code>'''

** Computes the average for all values

** avg(2;3;4) = 3

* '''cos''' '''⇒''' Cosine function working with radians, Usage: '''<code>cos(angle 0 in radians)</code>'''

** 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: '''<code>cosD(angle 0 in degrees)</code>'''

** Returns the icosine of the elements of <code>X</code>. All angles are in degrees.

** cosD(180) = -1

* '''cosh''' '''⇒''' Hyperbolic cosine function, Usage: '''<code>cosh(angle 0 in radians)</code>'''

** Returns the hyperbolic cosine of the elements of <code>X</code>. All angles are in radians.

** cosh(0) = 1

* '''degTorad''' '''⇒''' Converts degrees to radians, Usage: '''<code>degTorad(angle 0 in degrees)</code>'''

** 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: '''<code>exp(x) where e = 2.718</code>'''

** The exponential function is a mathematical function denoted by f(x)<math>f(x) = exp(x)</math> or <math>f(x) = e^x</math>

** exp(0) = 1

** exp(2) = 7.38906

* '''fmod''' '''⇒''' Returns the floating-point remainder of x/y (rounded towards zero), Usage: '''<code>fmod(x; y)</code>'''

** Returns the remainder of x divided by y.

** fmod(3.3;2) = 1.3

* '''ln''' '''⇒''' Logarithm to base e (2.71828...), Usage: '''<code>ln(x)</code>'''

* '''log''' '''⇒''' Logarithm to base 10, Usage: '''<code>log(x)</code>'''

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* '''log2''' '''⇒''' Logarithm to base 2, Usage: '''<code>log2(x)</code>'''

* '''max''' '''⇒''' Max of all arguments, Usage: '''<code>max(arg 1; arg 2; ... arg n)</code>'''

** Returns the max value for all values

** max(2;3;4) = 4

* '''min''' '''⇒''' Min of all arguments, Usage: '''<code>min(arg 1; arg 2; ... arg n)</code>'''

** Returns the min value for all values

** min(2;3;4) = 2

* '''radTodeg''' '''⇒''' Converts radians to degrees, Usage: '''<code>radTodeg(angle 0 in radians)</code>'''

** 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: '''<code>rint(float x)</code>'''

** The '''<code>rint()</code>''' 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: '''<code>sign(x)</code>'''

* '''sin''' '''⇒''' Sine function working with radians, Usage: '''<code>sin(angle 0 in radians)</code>'''

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* '''sqrt''' '''⇒''' Square root of a value, Usage: '''<code>sqrt(x)</code>'''

* '''sum''' '''⇒''' Sum of all arguments, Usage: '''<code>sum(arg 1; arg 2; ... arg n)</code>'''

** Computes the sum for all values

** sum(2;3;4) = 9

* '''tan''' '''⇒''' Tangent function working with radians, Usage: '''<code>tan(angle 0 in radians)</code>'''

* '''tanD''' '''⇒''' Tangent function working with degrees, Usage: '''<code>tanD(angle 0 in degrees)</code>'''