Implement forward rule (frule!!) for find_alpha with integer arguments in Mooncake #407

Copilot · 2025-08-27T17:39:50Z

This PR implements the missing forward-mode autodiff rule for find_alpha when called with integer arguments, resolving the issue mentioned in chalk-lab/Mooncake.jl#676.

Problem

The existing Mooncake extension only provided reverse-mode differentiation (rrule!!) for find_alpha with integer arguments. While @from_chainrules handled Float16/32/64 cases for both forward and reverse modes, the integer argument case was missing its forward rule, causing failures when using Mooncake.ForwardMode:

# This would fail before this PR
Mooncake.TestUtils.test_rule(
    rng, Bijectors.find_alpha, 1.0, 2.0, 3;  # integer argument
    mode=Mooncake.ForwardMode
)
# MethodError: no method matching frule!!(...)

Solution

Added a frule!! implementation that mirrors the existing rrule!! pattern:

function Mooncake.frule!!(
    f::Mooncake.Dual{typeof(find_alpha)}, x::Mooncake.Dual{P}, y::Mooncake.Dual{P}, z::Mooncake.Dual{I}
) where {P<:Base.IEEEFloat,I<:Integer}
    # Validate integer argument is non-differentiable
    if !(Mooncake.tangent(z) isa Mooncake.NoTangent)
        msg = "Integer argument has tangent type $(typeof(Mooncake.tangent(z))), should be NoTangent."
        throw(ArgumentError(msg))
    end
    
    # Use ChainRulesCore.frule with proper tangent type conversion
    out, tangent_out = ChainRulesCore.frule(
        (ChainRulesCore.NoTangent(), Mooncake.tangent(x), Mooncake.tangent(y), ChainRulesCore.NoTangent()),
        find_alpha, Mooncake.primal(x), Mooncake.primal(y), Mooncake.primal(z)
    )
    return Mooncake.Dual(out, tangent_out)
end

Key implementation details:

Correctly converts Mooncake.NoTangent to ChainRulesCore.NoTangent for compatibility
Leverages the existing ChainRulesCore.frule implementation
Maintains the same type safety checks as the reverse-mode version

Testing

Updated the test suite to enable forward-mode testing alongside reverse-mode:

# Before: only tested reverse mode
@testset "$mode" for mode in (Mooncake.ReverseMode,)

# After: tests both modes  
@testset "$mode" for mode in (Mooncake.ReverseMode, Mooncake.ForwardMode)

All tests now pass for both forward and reverse modes with Float64, Int64, and UInt32 arguments.

Fixes chalk-lab/Mooncake.jl#676

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Project.toml

Co-authored-by: yebai <[email protected]>

Initial plan

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Copilot AI assigned Copilot and yebai Aug 27, 2025

Copilot AI changed the title ~~[WIP] Implement the forward rule for find_alpha for Mooncake. See, @chalk-lab/Mooncake.jl/issues/676 for more context.~~ Implement forward rule (frule!!) for find_alpha with integer arguments in Mooncake Aug 27, 2025

yebai reviewed Aug 27, 2025

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TuringLang deleted a comment from Copilot AI Aug 27, 2025

Initial analysis and plan for implementing find_alpha forward rule

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Co-authored-by: yebai <[email protected]>

yebai force-pushed the copilot/fix-147d3fb0-ef8e-4770-a489-9adbac467ae5 branch from 1bf9cf9 to 8808a33 Compare August 27, 2025 18:48

yebai added 2 commits August 27, 2025 19:52

Update BijectorsMooncakeExt.jl

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Update Project.toml

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yebai marked this pull request as ready for review August 27, 2025 18:57

TuringLang deleted a comment from Copilot AI Aug 27, 2025

yebai merged commit 8c5bcbc into main Aug 27, 2025
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yebai deleted the copilot/fix-147d3fb0-ef8e-4770-a489-9adbac467ae5 branch August 27, 2025 19:13

This was referenced Aug 27, 2025

Mooncake forward-mode #404

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Uncomment b_binv_test_case for PlanarLayer chalk-lab/Mooncake.jl#727

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Implement forward rule (frule!!) for find_alpha with integer arguments in Mooncake #407

Implement forward rule (frule!!) for find_alpha with integer arguments in Mooncake #407

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Implement forward rule (frule!!) for find_alpha with integer arguments in Mooncake #407

Implement forward rule (frule!!) for find_alpha with integer arguments in Mooncake #407

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Copilot AI commented Aug 27, 2025 •

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