Functions

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When writing out measurement equations in Seamly, there are many mathematical functions that one may use to make them work seamlessly. This is a list of the functions, with a one-line example of how to actually use them in equations. Functions are served by the muparser math library.[1]

The Functions table in the Measurement Dialog is an excellent place to find most of the available algebraic functions of Seamly.
A picture of the Functions table.

Contents

Basic Functions[edit | edit source]

These are functions which are so basic that they didn't get included in the list

+ plus (3+4=7)

- minus (3-4=-1)

* times (3*4=12)

/ divided by (3/4=.75)

^ to the power of (3^4=81)

Advanced Functions[edit | edit source]

Most of these functions are found in the table, however there are several which depend on your ability to construct an IF function in Seamly. As such, I will discuss the IF statement, (which is not in the list,) first, & then proceed in alphabetical order as the functions appear in the list. It may be better to list them by branch of mathematics, but for now the list, & thus the alphabet, has priority.


Variables are always welcome to be equations, they do not need to be numerals.

IF function[edit | edit source]

  • if a<b then c else d looks like ( a<b ? c : d) in Seamly2D formulas.
  • if e<f then f else g looks like (e<f ? f : g)
  • When d is another test, then it looks like: ( a<b ? c : (e<f ? f : g) )[2]

abs - absolute value[edit | edit source]

Use: abs(N)[3] always returns a positive value

acos - arcus cosine function working with radians[edit | edit source]

Use: acos(N) where -1≤N≤1

acosD - arcus cosine function working with degrees[edit | edit source]

Use: acosD(N) where -1≤N≤1

acosh - hyperbolic arcus cosine function[edit | edit source]

Use: acosh(N) where N≥1

asin - arcus sine function working with radians[edit | edit source]

Use: asin(N) where -1≤N≤1

asinD - arcus sine function working with degrees[edit | edit source]

Use: asinD(N) where -1≤N≤1

asinh - hyperbolic arcus sine function[edit | edit source]

Use: asinh(N)

atan - arcus tangens function working with radians[edit | edit source]

Use: atan(N)

atanD - arcus tangens function working with degrees[edit | edit source]

Use: atanD(N)

atanh - hyperbolic arcur tangens function[edit | edit source]

Use: atanh(N) where -1<N<1

avg - (average,) mean value of all arguments[edit | edit source]

Use: avg(N1;N2;N3;…)

cos - cosine function working with radians[edit | edit source]

Use: cos(N)

cosD - cosine function working with degrees[edit | edit source]

Use: cosD(N)

cosh - hyperbolic cosine[edit | edit source]

Use: cosh(N)

degTorad - converts degrees to radian[edit | edit source]

Use: degTorad(N)

exp - e raised to the power of x[edit | edit source]

Use: exp(N) If you have as much a clue what this is for as I do, may I suggest the Wikipedia article on the number e?

fmod - Returns the floating-point remainder of numer/denom (rounded towards zero)[edit | edit source]

Use: fmod(N;D)

ln - logarithm to base e (2.71828…)[edit | edit source]

Use: ln(N) where N>0

log - logarithm to the base 10[edit | edit source]

Use: log(N) where N>0

log10 - logarithm to the base 10[edit | edit source]

Use: log10(N) where N>0

log2 - logarithm to the base 2[edit | edit source]

Use: log2(N) where N>0

max - max of all arguments[edit | edit source]

Use: max(N;N1;N2;…)

min - min of all arguments[edit | edit source]

Use: min(N;N1;N2;…)

radTodeg - converts radian to degrees[edit | edit source]

Use: radTodeg(N)

rint - round to nearest integer[edit | edit source]

Use: rint(N)

sign - sign function -1 if x<0; 1 if x>0[edit | edit source]

Use: sign(N)

sin - sine function working with radians[edit | edit source]

Use: sin(N)

sinD - sine function working with degrees[edit | edit source]

Use: sinD(N)

sinh - hyperbolic sine function[edit | edit source]

Use: sinh(N)

sqrt - square root of a value[edit | edit source]

Use: sqrt(N) where N≥0

sum - sum of all arguments[edit | edit source]

Use: sum(N;N1;N2;…)

tan - tangens function working with radians[edit | edit source]

Use: tan(N)

tanD - tangens function working with degrees[edit | edit source]

Use: tanD(N)

tanh - hyperbolic tangens function[edit | edit source]

Use: tanh(N)

Bibliography[edit | edit source]