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more type-stable reductions #6116

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Mar 12, 2014
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This patch tries to make reductions, especially sum and prod, as type-stable as is feasible (#6069). Key strategies:

  • For reductions of two or more elements, always initialize the reduction variable as v = op(A[1], A[2]) rather than as v = A[1].
  • For summation of empty collections, return zero(T)+zero(T) if T is known, rather than zero(T). (Similarly for prod and one.)
  • For summations of single-element collections, return A[1] + zero(A[1]) rather than A[1]. (Similarly for prod and one.)

sum and prod of empty collections for which the eltype is unknown now throw an exception rather than returning 0 (which is the wrong answer for non-Number collections).

cc: @jiahao, @lindahua, @StefanKarpinski

@stevengj
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(Note that this only affects reduce and friends. I haven't tried to patch up reducedim.)

@StefanKarpinski
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Looks good to me. Thanks for doing this.

JeffBezanson added a commit that referenced this pull request Mar 12, 2014
@JeffBezanson JeffBezanson merged commit 8c4111c into JuliaLang:master Mar 12, 2014
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3 participants