Skip to content

resolve various ambiguity warnings, fixes #119 #120

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
merged 1 commit into from
May 2, 2016
Merged
Show file tree
Hide file tree
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
2 changes: 1 addition & 1 deletion src/GradientNumber.jl
Original file line number Diff line number Diff line change
Expand Up @@ -201,7 +201,7 @@ end
@inline calc_atan2(y::Real, x::GradientNumber) = atan2(y, value(x))
@inline calc_atan2(y::GradientNumber, x::Real) = atan2(value(y), x)

for Y in (:Real, :GradientNumber), X in (:Real, :GradientNumber)
for Y in (:GradientNumber, :Real), X in (:GradientNumber, :Real)
if !(Y == :Real && X == :Real)
@eval begin
@inline function atan2(y::$Y, x::$X)
Expand Down
87 changes: 45 additions & 42 deletions src/HessianNumber.jl
Original file line number Diff line number Diff line change
Expand Up @@ -92,12 +92,6 @@ end

# Multiplication #
#----------------#
for T in (:Bool, :Real)
@eval begin
*(h::HessianNumber, x::$(T)) = HessianNumber(gradnum(h) * x, hess(h) * x)
*(x::$(T), h::HessianNumber) = HessianNumber(x * gradnum(h), x * hess(h))
end
end

function *{N}(h1::HessianNumber{N}, h2::HessianNumber{N})
mul_g = gradnum(h1)*gradnum(h2)
Expand All @@ -118,22 +112,15 @@ function *{N}(h1::HessianNumber{N}, h2::HessianNumber{N})
return HessianNumber(mul_g, hessvec)
end

for T in (:Bool, :Real)
@eval begin
*(h::HessianNumber, x::$(T)) = HessianNumber(gradnum(h) * x, hess(h) * x)
*(x::$(T), h::HessianNumber) = HessianNumber(x * gradnum(h), x * hess(h))
end
end

# Division #
#----------#
/(h::HessianNumber, x::Real) = HessianNumber(gradnum(h) / x, hess(h) / x)

function /(x::Real, h::HessianNumber)
a = value(h)

div_a = x / a
div_a_sq = div_a / a
div_a_cb = div_a_sq / a

deriv1 = -div_a_sq
deriv2 = div_a_cb + div_a_cb

return hessnum_from_deriv(h, div_a, deriv1, deriv2)
end

function /{N}(h1::HessianNumber{N}, h2::HessianNumber{N})
div_g = gradnum(h1)/gradnum(h2)
Expand All @@ -157,31 +144,24 @@ function /{N}(h1::HessianNumber{N}, h2::HessianNumber{N})
return HessianNumber(div_g, hessvec)
end

# Exponentiation #
#----------------#
^(::Base.Irrational{:e}, h::HessianNumber) = exp(h)
/(h::HessianNumber, x::Real) = HessianNumber(gradnum(h) / x, hess(h) / x)

for T in (:Rational, :Integer, :Real)
@eval begin
function ^(h::HessianNumber, x::$(T))
a = value(h)
x_min_one = x - 1
exp_a = a^x
deriv1 = x * a^x_min_one
deriv2 = x * x_min_one * a^(x - 2)
return hessnum_from_deriv(h, exp_a, deriv1, deriv2)
end
function /(x::Real, h::HessianNumber)
a = value(h)

function ^(x::$(T), h::HessianNumber)
log_x = log(x)
exp_x = x^value(h)
deriv1 = exp_x * log_x
deriv2 = deriv1 * log_x
return hessnum_from_deriv(h, exp_x, deriv1, deriv2)
end
end
div_a = x / a
div_a_sq = div_a / a
div_a_cb = div_a_sq / a

deriv1 = -div_a_sq
deriv2 = div_a_cb + div_a_cb

return hessnum_from_deriv(h, div_a, deriv1, deriv2)
end

# Exponentiation #
#----------------#

function ^{N}(h1::HessianNumber{N}, h2::HessianNumber{N})
exp_g = gradnum(h1)^gradnum(h2)
hessvec = Array(eltype(exp_g), halfhesslen(N))
Expand Down Expand Up @@ -212,6 +192,29 @@ function ^{N}(h1::HessianNumber{N}, h2::HessianNumber{N})
return HessianNumber(exp_g, hessvec)
end

^(::Base.Irrational{:e}, h::HessianNumber) = exp(h)

for T in (:Rational, :Integer, :Real)
@eval begin
function ^(h::HessianNumber, x::$(T))
a = value(h)
x_min_one = x - 1
exp_a = a^x
deriv1 = x * a^x_min_one
deriv2 = x * x_min_one * a^(x - 2)
return hessnum_from_deriv(h, exp_a, deriv1, deriv2)
end

function ^(x::$(T), h::HessianNumber)
log_x = log(x)
exp_x = x^value(h)
deriv1 = exp_x * log_x
deriv2 = deriv1 * log_x
return hessnum_from_deriv(h, exp_x, deriv1, deriv2)
end
end
end

# Unary functions on HessianNumbers #
#-----------------------------------#
# the second derivatives of functions in
Expand Down Expand Up @@ -261,7 +264,7 @@ end
@inline calc_atan2(y::Real, x::HessianNumber) = calc_atan2(y, gradnum(x))
@inline calc_atan2(y::HessianNumber, x::Real) = calc_atan2(gradnum(y), x)

for Y in (:Real, :HessianNumber), X in (:Real, :HessianNumber)
for Y in (:HessianNumber, :Real), X in (:HessianNumber, :Real)
if !(Y == :Real && X == :Real)
@eval begin
function atan2(y::$Y, x::$X)
Expand Down
102 changes: 51 additions & 51 deletions src/TensorNumber.jl
Original file line number Diff line number Diff line change
Expand Up @@ -101,13 +101,6 @@ end

# Multiplication #
#----------------#
for T in (:Bool, :Real)
@eval begin
*(t::TensorNumber, x::$(T)) = TensorNumber(hessnum(t) * x, tens(t) * x)
*(x::$(T), t::TensorNumber) = TensorNumber(x * hessnum(t), x * tens(t))
end
end

function *{N}(t1::TensorNumber{N}, t2::TensorNumber{N})
mul_h = hessnum(t1)*hessnum(t2)
tensvec = Array(eltype(mul_h), halftenslen(N))
Expand All @@ -134,23 +127,15 @@ function *{N}(t1::TensorNumber{N}, t2::TensorNumber{N})
return TensorNumber(mul_h, tensvec)
end

# Division #
#----------#
/(t::TensorNumber, x::Real) = TensorNumber(hessnum(t) / x, tens(t) / x)

function /(x::Real, t::TensorNumber)
a = value(t)
div_a = x / a
div_a_sq = div_a / a
div_a_cb = div_a_sq / a

deriv1 = -div_a_sq
deriv2 = div_a_cb + div_a_cb
deriv3 = -(deriv2 + deriv2 + deriv2)/a

return tensnum_from_deriv(t, div_a, deriv1, deriv2, deriv3)
for T in (:Bool, :Real)
@eval begin
*(t::TensorNumber, x::$(T)) = TensorNumber(hessnum(t) * x, tens(t) * x)
*(x::$(T), t::TensorNumber) = TensorNumber(x * hessnum(t), x * tens(t))
end
end

# Division #
#----------#
function /{N}(t1::TensorNumber{N}, t2::TensorNumber{N})
div_h = hessnum(t1)/hessnum(t2)
tensvec = Array(eltype(div_h), halftenslen(N))
Expand Down Expand Up @@ -187,39 +172,23 @@ function /{N}(t1::TensorNumber{N}, t2::TensorNumber{N})
return TensorNumber(div_h, tensvec)
end

# Exponentiation #
#----------------#
^(::Base.Irrational{:e}, t::TensorNumber) = exp(t)

for T in (:Rational, :Integer, :Real)
@eval begin
function ^(t::TensorNumber, x::$(T))
a = value(t)
x_min_one = x - 1
x_min_two = x - 2
x_x_min_one = x * x_min_one

exp_a = a^x
deriv1 = x * a^x_min_one
deriv2 = x_x_min_one * a^x_min_two
deriv3 = x_x_min_one * x_min_two * a^(x - 3)

return tensnum_from_deriv(t, exp_a, deriv1, deriv2, deriv3)
end
/(t::TensorNumber, x::Real) = TensorNumber(hessnum(t) / x, tens(t) / x)

function ^(x::$(T), t::TensorNumber)
log_x = log(x)
function /(x::Real, t::TensorNumber)
a = value(t)
div_a = x / a
div_a_sq = div_a / a
div_a_cb = div_a_sq / a

exp_x = x^value(t)
deriv1 = exp_x * log_x
deriv2 = deriv1 * log_x
deriv3 = deriv2 * log_x
deriv1 = -div_a_sq
deriv2 = div_a_cb + div_a_cb
deriv3 = -(deriv2 + deriv2 + deriv2)/a

return tensnum_from_deriv(t, exp_x, deriv1, deriv2, deriv3)
end
end
return tensnum_from_deriv(t, div_a, deriv1, deriv2, deriv3)
end

# Exponentiation #
#----------------#
function ^{N}(t1::TensorNumber{N}, t2::TensorNumber{N})
exp_h = hessnum(t1)^hessnum(t2)
tensvec = Array(eltype(exp_h), halftenslen(N))
Expand Down Expand Up @@ -273,6 +242,37 @@ function ^{N}(t1::TensorNumber{N}, t2::TensorNumber{N})
return TensorNumber(exp_h, tensvec)
end

^(::Base.Irrational{:e}, t::TensorNumber) = exp(t)

for T in (:Rational, :Integer, :Real)
@eval begin
function ^(t::TensorNumber, x::$(T))
a = value(t)
x_min_one = x - 1
x_min_two = x - 2
x_x_min_one = x * x_min_one

exp_a = a^x
deriv1 = x * a^x_min_one
deriv2 = x_x_min_one * a^x_min_two
deriv3 = x_x_min_one * x_min_two * a^(x - 3)

return tensnum_from_deriv(t, exp_a, deriv1, deriv2, deriv3)
end

function ^(x::$(T), t::TensorNumber)
log_x = log(x)

exp_x = x^value(t)
deriv1 = exp_x * log_x
deriv2 = deriv1 * log_x
deriv3 = deriv2 * log_x

return tensnum_from_deriv(t, exp_x, deriv1, deriv2, deriv3)
end
end
end

# Unary functions on TensorNumbers #
#----------------------------------#
# the third derivatives of functions in unsupported_unary_tens_funcs
Expand Down Expand Up @@ -325,7 +325,7 @@ end
@inline calc_atan2(y::Real, x::TensorNumber) = calc_atan2(y, hessnum(x))
@inline calc_atan2(y::TensorNumber, x::Real) = calc_atan2(hessnum(y), x)

for Y in (:Real, :TensorNumber), X in (:Real, :TensorNumber)
for Y in (:TensorNumber, :Real), X in (:TensorNumber, :Real)
if !(Y == :Real && X == :Real)
@eval begin
function atan2(y::$Y, x::$X)
Expand Down