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include trig, hyptrig functions #22

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include trig, hyptrig functions #22

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59 changes: 59 additions & 0 deletions src/inverse.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -143,3 +143,62 @@ inverse(f::Base.Fix1{typeof(log)}) = Base.Fix1(invlog1, f.x)
inverse(f::Base.Fix1{typeof(invlog1)}) = Base.Fix1(log, f.x)
inverse(f::Base.Fix2{typeof(log)}) = Base.Fix2(invlog2, f.x)
inverse(f::Base.Fix2{typeof(invlog2)}) = Base.Fix2(log, f.x)

inverse(::typeof(sin)) = asin
inverse(::typeof(cos)) = acos
inverse(::typeof(tan)) = atan
inverse(::typeof(csc)) = acsc
inverse(::typeof(sec)) = asec
inverse(::typeof(cot)) = acot

inverse(::typeof(asin)) = sin
inverse(::typeof(acos)) = cos
inverse(::typeof(atan)) = tan
inverse(::typeof(acsc)) = csc
inverse(::typeof(asec)) = sec
inverse(::typeof(acot)) = cot

inverse(::typeof(sinh)) = asin
inverse(::typeof(cosh)) = acos
inverse(::typeof(tanh)) = atan
inverse(::typeof(csch)) = acsc
inverse(::typeof(sech)) = asec
inverse(::typeof(coth)) = acot

inverse(::typeof(asinh)) = sinh
inverse(::typeof(acosh)) = cosh
inverse(::typeof(atanh)) = tanh
inverse(::typeof(acsch)) = csch
inverse(::typeof(asech)) = sech
inverse(::typeof(acoth)) = coth

inverse(f::Base.Fix1{typeof(sin)}) = Base.Fix1(asin, f.x)
inverse(f::Base.Fix1{typeof(cos)}) = Base.Fix1(acos, f.x)
inverse(f::Base.Fix1{typeof(tan)}) = Base.Fix1(atan, f.x)
inverse(f::Base.Fix1{typeof(csc)}) = Base.Fix1(acsc, f.x)
inverse(f::Base.Fix1{typeof(sec)}) = Base.Fix1(asec, f.x)
inverse(f::Base.Fix1{typeof(cot)}) = Base.Fix1(acot, f.x)

inverse(f::Base.Fix1{typeof(asin)}) = Base.Fix1(sin, f.x)
inverse(f::Base.Fix1{typeof(acos)}) = Base.Fix1(cos, f.x)
inverse(f::Base.Fix1{typeof(atan)}) = Base.Fix1(tan, f.x)
inverse(f::Base.Fix1{typeof(acsc)}) = Base.Fix1(csc, f.x)
inverse(f::Base.Fix1{typeof(asec)}) = Base.Fix1(sec, f.x)
inverse(f::Base.Fix1{typeof(acot)}) = Base.Fix1(cot, f.x)

inverse(f::Base.Fix1{typeof(sinh)}) = Base.Fix1(asinh, f.x)
inverse(f::Base.Fix1{typeof(cosh)}) = Base.Fix1(acosh, f.x)
inverse(f::Base.Fix1{typeof(tanh)}) = Base.Fix1(atanh, f.x)
inverse(f::Base.Fix1{typeof(csch)}) = Base.Fix1(acsch, f.x)
inverse(f::Base.Fix1{typeof(sech)}) = Base.Fix1(asech, f.x)
inverse(f::Base.Fix1{typeof(coth)}) = Base.Fix1(acoth, f.x)

inverse(f::Base.Fix1{typeof(asinh)}) = Base.Fix1(sinh, f.x)
inverse(f::Base.Fix1{typeof(acosh)}) = Base.Fix1(cosh, f.x)
inverse(f::Base.Fix1{typeof(atanh)}) = Base.Fix1(tanh, f.x)
inverse(f::Base.Fix1{typeof(acsch)}) = Base.Fix1(csch, f.x)
inverse(f::Base.Fix1{typeof(asech)}) = Base.Fix1(sech, f.x)
inverse(f::Base.Fix1{typeof(acoth)}) = Base.Fix1(coth, f.x)