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Fix a_/b_ derivative #17

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Fix a_/b_ derivative #17

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10 changes: 5 additions & 5 deletions src/intro.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -138,7 +138,7 @@ function derive(ex, x)
@capture(ex, a_ + b_) ? :($(derive(a, x)) + $(derive(b, x))) :
@capture(ex, a_ * b_) ? :($a * $(derive(b, x)) + $b * $(derive(a, x))) :
@capture(ex, a_^n_Number) ? :($(derive(a, x)) * ($n * $a^$(n-1))) :
@capture(ex, a_ / b_) ? :($b * $(derive(a, x)) - $a * $(derive(b, x)) / $b^2) :
@capture(ex, a_ / b_) ? :(($b * $(derive(a, x)) - $a * $(derive(b, x))) / $b^2) :
error("$ex is not differentiable")
end

Expand Down Expand Up @@ -170,7 +170,7 @@ function derive(ex, x)
@capture(ex, a_ + b_) ? addm(derive(a, x), derive(b, x)) :
@capture(ex, a_ * b_) ? addm(mulm(a, derive(b, x)), mulm(b, derive(a, x))) :
@capture(ex, a_^n_Number) ? mulm(derive(a, x),n,:($a^$(n-1))) :
@capture(ex, a_ / b_) ? :($(mulm(b, derive(a, x))) - $(mulm(a, derive(b, x))) / $b^2) :
@capture(ex, a_ / b_) ? :(($(mulm(b, derive(a, x))) - $(mulm(a, derive(b, x)))) / $b^2) :
error("$ex is not differentiable")
end

Expand Down Expand Up @@ -315,7 +315,7 @@ function derive(ex, x, w)
@capture(ex, a_ + b_) ? push!(w, addm(derive(a, x, w), derive(b, x, w))) :
@capture(ex, a_ * b_) ? push!(w, addm(mulm(a, derive(b, x, w)), mulm(b, derive(a, x, w)))) :
@capture(ex, a_^n_Number) ? push!(w, mulm(derive(a, x, w),n,:($a^$(n-1)))) :
@capture(ex, a_ / b_) ? push!(w, :($(mulm(b, derive(a, x, w))) - $(mulm(a, derive(b, x, w))) / $b^2)) :
@capture(ex, a_ / b_) ? push!(w, :(($(mulm(b, derive(a, x, w))) - $(mulm(a, derive(b, x, w)))) / $b^2)) :
error("$ex is not differentiable")
end

Expand Down Expand Up @@ -349,7 +349,7 @@ function derive(w::Wengert, x)
Δ = @capture(ex, a_ + b_) ? addm(d(a), d(b)) :
@capture(ex, a_ * b_) ? addm(mulm(a, d(b)), mulm(b, d(a))) :
@capture(ex, a_^n_Number) ? mulm(d(a),n,:($a^$(n-1))) :
@capture(ex, a_ / b_) ? :($(mulm(b, d(a))) - $(mulm(a, d(b))) / $b^2) :
@capture(ex, a_ / b_) ? :(($(mulm(b, d(a))) - $(mulm(a, d(b)))) / $b^2) :
error("$ex is not differentiable")
ds[v] = push!(w, Δ)
end
Expand Down Expand Up @@ -381,7 +381,7 @@ function derive_r(w::Wengert, x)
elseif @capture(ex, a_^n_Number)
d(a, mulm(Δ, n, :($a^$(n-1))))
elseif @capture(ex, a_ / b_)
d(a, push!(w, mulm(Δ, b)))
d(a, push!(w, :($(mulm(Δ, b))/$b^2)))
d(b, push!(w, :(-$(mulm(Δ, a))/$b^2)))
else
error("$ex is not differentiable")
Expand Down
4 changes: 2 additions & 2 deletions src/tracing.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -225,8 +225,8 @@ function derive(w::Tape, xs...)
elseif @capture(ex, a_^n_Number)
d(a, Δ * n * val(a) ^ (n-1))
elseif @capture(ex, a_ / b_)
d(a, Δ * val(b))
d(b, -Δ*val(a)/val(b)^2)
d(a, Δ * val(b)/val(b)^2)
d(b, -Δ * val(a)/val(b)^2)
else
error("$ex is not differentiable")
end
Expand Down
4 changes: 2 additions & 2 deletions src/utils.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -99,7 +99,7 @@ function derive(w::Wengert, x; out = w)
Δ = @capture(ex, a_ + b_) ? addm(d(a), d(b)) :
@capture(ex, a_ * b_) ? addm(mulm(a, d(b)), mulm(b, d(a))) :
@capture(ex, a_^n_Number) ? mulm(d(a),n,:($a^$(n-1))) :
@capture(ex, a_ / b_) ? :($(mulm(b, d(a))) - $(mulm(a, d(b))) / $b^2) :
@capture(ex, a_ / b_) ? :(($(mulm(b, d(a))) - $(mulm(a, d(b)))) / $b^2) :
@capture(ex, sin(a_)) ? mulm(:(cos($a)), d(a)) :
@capture(ex, cos(a_)) ? mulm(:(-sin($a)), d(a)) :
@capture(ex, exp(a_)) ? mulm(v, d(a)) :
Expand Down Expand Up @@ -127,7 +127,7 @@ function derive_r(w::Wengert, x)
elseif @capture(ex, a_^n_Number)
d(a, mulm(Δ, n, :($a^$(n-1))))
elseif @capture(ex, a_ / b_)
d(a, push!(w, mulm(Δ, b)))
d(a, push!(w, :($(mulm(Δ, b))/$b^2)))
d(b, push!(w, :(-$(mulm(Δ, a))/$b^2)))
else
error("$ex is not differentiable")
Expand Down