Functions: Difference between revisions
Pneumarian (talk | contribs) (Added a few use indications) |
Pneumarian (talk | contribs) (Completed the basic functionality of the Functions list. All of the Functions in the dialog are entered, with basic usage notes.) |
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'''*''' times (3*4=12) |
'''*''' times (3*4=12) |
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'''/''' |
'''/''' divided by (3/4=.75) |
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'''^''' to the power of (3^4=81) |
'''^''' to the power of (3^4=81) |
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== Advanced Functions == |
== Advanced Functions == |
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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. |
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. |
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Variables are always welcome to be equations, they do not need to be numerals. |
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==== IF function ==== |
==== IF function ==== |
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==== abs - absolute value ==== |
==== abs - absolute value ==== |
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Use: '''abs(''N'')'''<ref>[https://forum.seamly.net/t/negative-numbers/2043/2?u=pneumarian https://forum.seamly.net/t/negative-numbers/2043/2]</ref> always returns a positive value |
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==== acos - arcus cosine function working with radians ==== |
==== acos - arcus cosine function working with radians ==== |
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==== avg - (average,) mean value of all arguments ==== |
==== avg - (average,) mean value of all arguments ==== |
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Use: '''avg(''N1''; |
Use: '''avg(''N1'';''N2'';''N3'';…)''' |
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==== cos - cosine function working with radians ==== |
==== cos - cosine function working with radians ==== |
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Use: '''degTorad(''N'')''' |
Use: '''degTorad(''N'')''' |
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==== exp - e raised to the power of x ==== |
==== exp - ''e'' raised to the power of x ==== |
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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 [https://en.wikipedia.org/wiki/E_(mathematical_constant) number ''e'']? |
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Use: |
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==== fmod - Returns the floating-point remainder of numer/denom (rounded towards zero) ==== |
==== fmod - Returns the floating-point remainder of numer/denom (rounded towards zero) ==== |
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Use: '''fmod(''N'';''D'')''' |
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==== ln - logarithm to base e (2.71828…) ==== |
==== ln - logarithm to base e (2.71828…) ==== |
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Use: '''ln(''N'')''' where N>0 |
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==== log - logarithm to the base 10 ==== |
==== log - logarithm to the base 10 ==== |
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Use: '''log(''N'')''' where N>0 |
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==== log10 - logarithm to the base 10 ==== |
==== log10 - logarithm to the base 10 ==== |
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Use: '''log10(''N'')''' where N>0 |
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==== log2 - logarithm to the base 2 ==== |
==== log2 - logarithm to the base 2 ==== |
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Use: '''log2(''N'')''' where N>0 |
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====[[Max (function)|max]] - max of all arguments ==== |
====[[Max (function)|max]] - max of all arguments ==== |
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Use: '''max(''N'';''N1'';''N2'';…)''' |
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====[[Min (function)|min]] - min of all arguments ==== |
====[[Min (function)|min]] - min of all arguments ==== |
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Use: '''min(''N'';''N1'';''N2'';…)''' |
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==== radTodeg - converts radian to degrees ==== |
==== radTodeg - converts radian to degrees ==== |
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Use: '''radTodeg(''N'')''' |
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==== rint - round to nearest integer ==== |
==== rint - round to nearest integer ==== |
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Use: '''rint(''N'')''' |
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==== sign - sign function -1 if x<0; 1 if x>0 ==== |
==== sign - sign function -1 if x<0; 1 if x>0 ==== |
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Use: '''sign(''N'')''' |
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==== sin - sine function working with radians ==== |
==== sin - sine function working with radians ==== |
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Use: '''sin(''N'')''' |
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==== sinD - sine function working with degrees ==== |
==== sinD - sine function working with degrees ==== |
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Use: '''sinD(''N'')''' |
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==== sinh - hyperbolic sine function ==== |
==== sinh - hyperbolic sine function ==== |
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Use: '''sinh(''N'')''' |
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==== sqrt - square root of a value ==== |
==== sqrt - square root of a value ==== |
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Use: '''sqrt(''N'')''' where N≥0 |
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==== sum - sum of all arguments ==== |
==== sum - sum of all arguments ==== |
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Use: '''sum(''N'';''N1'';''N2'';…)''' |
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==== tan - tangens function working with radians ==== |
==== tan - tangens function working with radians ==== |
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Use: '''tan(''N'')''' |
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==== tanD - tangens function working with degrees ==== |
==== tanD - tangens function working with degrees ==== |
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Use: '''tanD(''N'')''' |
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==== tanh - hyperbolic tangens function ==== |
==== tanh - hyperbolic tangens function ==== |
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Use: '''tanh(''N'')''' |
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== Bibliography == |
== Bibliography == |
Revision as of 01:33, 14 May 2020
When writing out measurement equations in Seamly, there are many mathematical functions that one may use to make them work seamlessly. This is [to be] 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]
Basic Functions
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
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
- 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
Use: abs(N)[3] always returns a positive value
acos - arcus cosine function working with radians
Use: acos(N) where -1≤N≤1
acosD - arcus cosine function working with degrees
Use: acosD(N) where -1≤N≤1
acosh - hyperbolic arcus cosine function
Use: acosh(N) where N≥1
asin - arcus sine function working with radians
Use: asin(N) where -1≤N≤1
asinD - arcus sine function working with degrees
Use: asinD(N) where -1≤N≤1
asinh - hyperbolic arcus sine function
Use: asinh(N)
atan - arcus tangens function working with radians
Use: atan(N)
atanD - arcus tangens function working with degrees
Use: atanD(N)
atanh - hyperbolic arcur tangens function
Use: atanh(N) where -1<N<1
avg - (average,) mean value of all arguments
Use: avg(N1;N2;N3;…)
cos - cosine function working with radians
Use: cos(N)
cosD - cosine function working with degrees
Use: cosD(N)
cosh - hyperbolic cosine
Use: cosh(N)
degTorad - converts degrees to radian
Use: degTorad(N)
exp - e raised to the power of x
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)
Use: fmod(N;D)
ln - logarithm to base e (2.71828…)
Use: ln(N) where N>0
log - logarithm to the base 10
Use: log(N) where N>0
log10 - logarithm to the base 10
Use: log10(N) where N>0
log2 - logarithm to the base 2
Use: log2(N) where N>0
max - max of all arguments
Use: max(N;N1;N2;…)
min - min of all arguments
Use: min(N;N1;N2;…)
radTodeg - converts radian to degrees
Use: radTodeg(N)
rint - round to nearest integer
Use: rint(N)
sign - sign function -1 if x<0; 1 if x>0
Use: sign(N)
sin - sine function working with radians
Use: sin(N)
sinD - sine function working with degrees
Use: sinD(N)
sinh - hyperbolic sine function
Use: sinh(N)
sqrt - square root of a value
Use: sqrt(N) where N≥0
sum - sum of all arguments
Use: sum(N;N1;N2;…)
tan - tangens function working with radians
Use: tan(N)
tanD - tangens function working with degrees
Use: tanD(N)
tanh - hyperbolic tangens function
Use: tanh(N)