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File: Math.em

Description: Mathematic functions for your enjoyment
Last Modified: 08/31/2015

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Functions:

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Modules:

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ACos(x)
Parameters:
Name Type
x Real, in radians
Explanation
Computes the arccosine of x
Return values
Real number in radians
Errors
"Invalid parameter type"
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ASin(x)
Parameters:
Name Type
x Real, in radians
Explanation
Computes the arcsine of x
Return values
Real number in radians
Errors
"Invalid parameter type"
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ATan(x)
Parameters:
Name Type
x Real, in radians
Explanation
Computes the arctangent of x
Return values
Real number in radians
Errors
"Invalid parameter type"
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Abs(x)
Parameters:
Name Type
x Real or Integer
Explanation
Computes the absolute value of x
Return values
Real number
Errors
"Invalid parameter type"
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Ceil(x)
Parameters:
Name Type
x Real
Explanation
Computes the ceiling of x
Return values
Real that is smallest integer >= x
Errors
"Invalid parameter type"
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ConstE()
Explanation
Returns an approximation of the trancendental number E
e, is an irrational NUMBER occurring widely in mathematics and science, approximately equal to the value 2.71828; it is the base of natural, or Naperian, LOGARITHMS. Like pi, e is transcendental, i.e., not a ROOT of any algebraic equation. It is defined as the LIMIT of the expression (1 + 1/n)^n as n becomes infinitely large. Expressions of the form e^(x), known as the exponential function, occur in applications ranging from statistics to nuclear physics
Return values
Real number
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ConstPi()
Explanation
Returns an approximation of the trancendental number Pi
Pi is a numerical constant that represents the ratio of a circle's circumference to its diameter on a flat plane surface. The value is the same regardless of the size of the circle. The decimal expansion of pi is a nonterminating, nonrepeating sequence of digits. Pi can be expressed through the Fourier series pi = 4 - (4/3) + (4/5) - (4/7) + (4/9) - ...
Return values
Real number (3.14159....)
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Cos(x)
Parameters:
Name Type
x Real, in radians
Explanation
Computes the cosine of x
Return values
Real number
Errors
"Invalid parameter type"
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DegToRad( degrees )
Parameters:
Name Type
degrees Real, in degrees
Explanation
Converts the degrees parameter to radians
Return values
Real number in radians
Errors
"Invalid parameter type"
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Floor(x)
Parameters:
Name Type
x Real
Explanation
Computes the floor of x
Return values
Real that is largest integer <= x
Errors
"Invalid parameter type"
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FormatRealToString( value, precision )
Parameters:
Name Type
value Real
precision Integer
Explanation
Formats a Double into a string. WARNING: this may produce different output on Windows and Linux, output is intended only for displaying and informational purposes. Do not rely on it to be accurate, to do not change in time, or to fit into any specifiec or predictable format.
Return values
String rep of the real number
Errors
"Invalid parameter type"
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Log10(x)
Parameters:
Name Type
x Real
Explanation
Computes log(base 10) of x
Return values
Real number
Errors
"Invalid parameter type"
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LogE(x)
Parameters:
Name Type
x Real
Explanation
Computes the natural log of x
Return values
Real number
Errors
"Invalid parameter type"
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Max( x, y:=0)
Parameters:
Name Type
x Integer/Double/Array
y Integer/Double
Explanation
The numerically highest Integer of the parameter values. Will return int/dbl based on parameter types passed.
If first param is an Array second will be ignored and returns lowest int/dbl entry.
Return values
Integer/Double
Errors
"Invalid parameter type"
"Array empty"
"No Integer/Double elements"
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Min( x, y:=0 )
Parameters:
Name Type
x Integer/Double/Array
y Integer/Double
Explanation
The numerically lowest Integer of the parameter values. Will return int/dbl based on parameter types passed.
If first param is an Array second will be ignored and returns lowest int/dbl entry.
Return values
Integer/Double
Errors
"Invalid parameter type"
"Array empty"
"No Integer/Double elements"
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Pow(x,y)
Parameters:
Name Type
x Real
y Real
Explanation
Computes x ^ y
Return values
Real number
Errors
"Invalid parameter type"
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RadToDeg( radians )
Parameters:
Name Type
radians Real, in radians
Explanation
Converts the radian parameter to degrees
Return values
Real number in degrees
Errors
"Invalid parameter type"
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Root(x,y)
Parameters:
Name Type
x Real
y Real
Explanation
Computes the y root of x (same as Pow(x,1.0/y)).
Return values
Real number
Errors
"Invalid parameter type"
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Sin(x)
Parameters:
Name Type
x Real, in radians
Explanation
Computes the sine of x
Return values
Real number
Errors
"Invalid parameter type"
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Sqrt(x)
Parameters:
Name Type
x Real
Explanation
Computes the square root of x
Return values
Real number
Errors
"Invalid parameter type"
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Tan(x)
Parameters:
Name Type
x Real, in radians
Explanation
Computes the tangent of x
Return values
Real number
Errors
"Invalid parameter type"