Angle.Trig (angle v1.0.1)
Wraps Erlang's :math module to provide versions of it's trigonomic
functions which work with the Angle type.
Erlang's :math module relies on your libc implementation. Which return
potentially different values for these functions based on the approximations
they use. Specifally you may see small differences between values computed
by macOS' libc and GNU libc. This can lead to surprising test failures; you
most likely want to limit accuracy in tests to a few decimal places.
Link to this section Summary
Functions
Calculate the inverse trigonometric cosine (also known as arccosine) angle
of a real value x between -1 and 1.
Calculate the inverse hyperbolic cosine angle of a real value x between 1
and +∞.
Calculate the inverse trigonometric sine (also known as arcsine) angle of a
real value x between -1 and 1.
Calculate the inverse hyperbolic sine angle of a real value x.
Calculate the inverse trigonometric tangent (also known as arctangent) angle
between the positive x-axis and the coordinates x, y.
Calculate the inverse trigonometric tangent (also known as arctangent) angle
of any real value x.
Calculate the cosine (sine complement) of angle.
Calculate the hyperbolic cosine of angle.
Calculate the sine of angle.
Calculate the hyperbolic sine of angle.
Caculate the tangent of angle.
Calculate the hyperbolic tangent of angle.
Link to this section Functions
acos(x)
Calculate the inverse trigonometric cosine (also known as arccosine) angle
of a real value x between -1 and 1.
Examples:
iex> Angle.Trig.acos(1)
...> |> inspect()
"{:ok, #Angle<0>}"
iex> Angle.Trig.acos(-1)
...> |> inspect()
"{:ok, #Angle<3.141592653589793㎭>}"acosh(x)
Calculate the inverse hyperbolic cosine angle of a real value x between 1
and +∞.
Examples
iex> Angle.Trig.acosh(1)
...> |> inspect()
"{:ok, #Angle<0>}"
iex> Angle.Trig.acosh(2)
...> |> inspect()
"{:ok, #Angle<1.3169578969248166㎭>}"asin(x)
Calculate the inverse trigonometric sine (also known as arcsine) angle of a
real value x between -1 and 1.
Examples
iex> Angle.Trig.asin(0)
...> |> inspect()
"{:ok, #Angle<0>}"
iex> Angle.Trig.asin(1)
...> |> inspect()
"{:ok, #Angle<1.5707963267948966㎭>}"asinh(x)
Calculate the inverse hyperbolic sine angle of a real value x.
Examples
iex> Angle.Trig.asinh(-1)
...> |> inspect()
"{:ok, #Angle<-0.881373587019543㎭>}"
iex> Angle.Trig.asinh(1)
...> |> inspect()
"{:ok, #Angle<0.881373587019543㎭>}"atan2(x, y)
Calculate the inverse trigonometric tangent (also known as arctangent) angle
between the positive x-axis and the coordinates x, y.
Examples
iex> Angle.Trig.atan2(-1, -2)
...> |> inspect()
"{:ok, #Angle<-2.677945044588987㎭>}"
iex> Angle.Trig.atan2(1, 2)
...> |> inspect()
"{:ok, #Angle<0.4636476090008061㎭>}"atan(x)
Calculate the inverse trigonometric tangent (also known as arctangent) angle
of any real value x.
Examples
iex> Angle.Trig.atan(-1)
...> |> inspect()
"{:ok, #Angle<-0.7853981633974483㎭>}"
iex> Angle.Trig.atan(1)
...> |> inspect()
"{:ok, #Angle<0.7853981633974483㎭>}"cos(angle)
Calculate the cosine (sine complement) of angle.
The cosine is the ratio of the length of the adjacent side to the length of the hypotenuse of a right angle triangle.
Returns a float between -1.0 and 1.0
Example
iex> ~a(180)d
...> |> cos()
...> |> inspect()
"{#Angle<180°>, -1.0}"cosh(angle)
Calculate the hyperbolic cosine of angle.
Returns a float between 1.0 and +∞.
Example
iex> ~a(0)
...> |> cosh()
...> |> inspect()
"{#Angle<0>, 1.0}"sin(angle)
Calculate the sine of angle.
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse of a right angle triangle.
Returns a float between -∞ and +∞.
Example
iex> ~a(90)d
...> |> sin()
...> |> inspect()
"{#Angle<90°>, 1.0}"sinh(angle)
Calculate the hyperbolic sine of angle.
Returns a float between -∞ and +∞.
Example
iex> ~a(0)
...> |> sinh()
...> |> inspect()
"{#Angle<0>, 0.0}"tan(angle)
Caculate the tangent of angle.
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right angle triangle.
Returns a float between -∞ and +∞.
Example
iex> ~a(0)
...> |> tan()
...> |> inspect()
"{#Angle<0>, 0.0}"tanh(angle)
Calculate the hyperbolic tangent of angle.
Returns a float between -1.0 and 1.0
Example
iex> ~a(0)
...> |> tanh()
...> |> inspect()
"{#Angle<0>, 0.0}"