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17 changes: 8 additions & 9 deletions src/differentiate.jl
Original file line number Diff line number Diff line change
@@ -1,12 +1,11 @@

export differentiate

#################################################################
#
# differentiate()
# based on John's differentiate and this code, I think by Miles Lubin:
# https://github.com/IainNZ/NLTester/blob/master/julia/nlp.jl#L74
#
#
#################################################################

differentiate(ex::SymbolicVariable, wrt::SymbolicVariable) = (ex == wrt) ? 1 : 0
Expand All @@ -33,7 +32,7 @@ function differentiate(::SymbolParameter{:^}, args, wrt)
elseif yp == 0
return :( $y * $xp * ($x ^ ($y - 1)) )
else
return :( $x ^ $y * ($xp * $y / $x + $yp * log($x)) )
return :( $x ^ $y * ($xp * $y / $x + $yp * log($x)) )
end
end

Expand Down Expand Up @@ -215,12 +214,12 @@ for (funsym, exp) in symbolic_derivative_1arg_list
end

derivative_rules_bessel = [
( :besselj, :( * (besselj(nu - 1, x) - besselj(nu + 1, x)) / 2 ))
( :besseli, :( * (besseli(nu - 1, x) + besseli(nu + 1, x)) / 2 ))
( :bessely, :( * (bessely(nu - 1, x) - bessely(nu + 1, x)) / 2 ))
( :besselj, :( (besselj(nu - 1, x) - besselj(nu + 1, x)) / 2 ))
( :besseli, :( (besseli(nu - 1, x) + besseli(nu + 1, x)) / 2 ))
( :bessely, :( (bessely(nu - 1, x) - bessely(nu + 1, x)) / 2 ))
( :besselk, :( -1 * (besselk(nu - 1, x) + besselk(nu + 1, x)) / 2 ))
( :hankelh1, :( * (hankelh1(nu - 1, x) - hankelh1(nu + 1, x)) / 2 ))
( :hankelh2, :( * (hankelh2(nu - 1, x) - hankelh2(nu + 1, x)) / 2 ))
( :hankelh1, :( (hankelh1(nu - 1, x) - hankelh1(nu + 1, x)) / 2 ))
( :hankelh2, :( (hankelh2(nu - 1, x) - hankelh2(nu + 1, x)) / 2 ))
]


Expand Down Expand Up @@ -258,7 +257,7 @@ end

## Differentiate for piecewise functions defined using ifelse
function differentiate(::SymbolParameter{:ifelse}, args, wrt)
:(ifelse($(args[1]), $(differentiate(args[2],wrt)),$(differentiate(args[3],wrt))))
:(ifelse($(args[1]), $(differentiate(args[2],wrt)),$(differentiate(args[3],wrt))))
end

function differentiate(ex::Expr, targets::Vector{Symbol})
Expand Down