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--- status: DRAFT
--- author(s): L. Gold
--- notes:
document {
Key => {atan2,(atan2,RR,RR),(atan2, RRi, RRi),
(atan2,RR,RRi), (atan2,RRi,RR)
},
Headline => "compute an angle of a certain triangle",
Usage => "atan2(y,x)\natan2(y,I)\natan2(J,x)\natan2(J,I)",
Inputs => { "y" => RR, "x" => RR, "J" => RRi, "I" => RRi},
Outputs => {
RR => { "the angle (in radians) formed with the x-axis by the ray from the origin to the point ", TT "(x,y)" },
RR => { "an interval containing the angles (in radians) formed with the x-axis by the rays from the origin to the points of ", TT "(I,y),(x,J),(I,J)" }
},
EXAMPLE {
"atan2(1,0)",
"atan2(0,1)",
"atan2(-1,-1)"
},
SeeAlso => { atan }
}
document {
Key => {atan,(atan,RR),(atan,CC),(atan, RRi)},
Headline => "compute the arctangent of a number",
Usage => "atan x\natan I",
Inputs => { "x" => RR, "I" => RRi},
Outputs => {
RR => {"the arctangent (in radians) of ", TT "x"},
RRi => { "an interval containing the arctangents of the points of ", TT "I" }
},
EXAMPLE {
"atan 1",
"abs atan 1 == pi/4"
},
SeeAlso => { atan2 }
}
document {
Key => {acot,(acot,Number)},
Headline => "compute the inverse cotangent",
Usage => "acot x",
Inputs => { "x" => RR },
Outputs => {
RR => {"the arccotangent (in radians) of ", TT "x"}
},
EXAMPLE {
"acot 2",
}
}
document {
Key => {atanh, (atanh,Number)},
Headline => "compute the hyperbolic arctangent of a number",
Usage => "atanh x",
Inputs => { "x" => { ofClass Number } },
Outputs => {
Number => { "the hyperbolic arctangent of ", TT "x" }
},
EXAMPLE {
"atanh .4",
"atanh 4."
}
}
document {
Key => {acoth, (acoth,Number)},
Headline => "compute the hyperbolic arctangent of a number",
Usage => "acoth x",
Inputs => { "x" => { ofClass Number } },
Outputs => {
Number => { "the hyperbolic arccotangent of ", TT "x" }
},
EXAMPLE {
"acoth .4",
"acoth 4."
}
}
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