PermuteBuildProof.fork_eq: def of bendtorch-core@0.1.0.0 Import: import bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend as PermuteBuildProof Lines 781-796 of bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend&start_line=781&end_line=796 import Base import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout import bendtorch-core@0.1.0.0/src/tensor/permute_build.bend as Build import bendtorch-core@0.1.0.0/src/storage/model.bend as Model import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage import bendtorch-core@0.1.0.0/src/tensor/parallel.bend as Parallel import bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend as BinaryBuild import bendtorch-core@0.1.0.0/src/tensor/contracts/binary_storage_proof.bend as Owned import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws import bendtorch-core@0.1.0.0/src/storage/api.bend as Api def fork_eq(+input: Shape.Shape, +axes: List<&2, U32>, +fill: F32, +ops: List<&2, StorageLaws.Op>, +plan: Layout.Plan, +ds: Nat, +fits: {Storage.bounds(ds, U32.to_nat(Shape.count(input))) == True{} : Bool}, +count: Nat, +exact: {count == Shape.logical_numel(Shape.dimensions(Layout.output(input, axes, plan))) : Nat}, +inner: Nat, +rest: Nat, +base: Nat, low: {Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, base, (Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), Array.new(F32, 0n, 0.0))) == spec(input, axes, fill, ops, count, inner, base) : Array}, high: {Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, Nat.add(Model.capacity(inner), base), (Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), Array.new(F32, 0n, 0.0))) == spec(input, axes, fill, ops, count, inner, Nat.add(Model.capacity(inner), base)) : Array}, lp: Array & Array, +le: {lp == Array.clone(F32, Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill)) : Array & Array}) -> {Parallel.fork(~Array, ~Array, Build.halves(lp, Array.clone(F32, Array.new(F32, 0n, 0.0))), l => r => Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, base, (l, r)), l => r => Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, Nat.add(Model.capacity(inner), base), (l, r))) == spec(input, axes, fill, ops, count, 1n+inner, base) : Array}: (l1, l2) = lp %Equal.sym(Array, l1, Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), BinaryBuild.clone_first_eq(ds, (Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), fill, (l1, l2), le)) : {ANode{Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, base, (_, Array.new(F32, 0n, 0.0))), Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, Nat.add(Model.capacity(inner), base), (l2, Array.new(F32, 0n, 0.0)))} == spec(input, axes, fill, ops, count, 1n+inner, base) : Array} %Equal.sym(Array, l2, Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), BinaryBuild.clone_second_eq(ds, (Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), fill, (l1, l2), le)) : {ANode{Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, base, (Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), Array.new(F32, 0n, 0.0))), Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, Nat.add(Model.capacity(inner), base), (_, Array.new(F32, 0n, 0.0)))} == spec(input, axes, fill, ops, count, 1n+inner, base) : Array} %Equal.sym(Array, Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, base, (Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), Array.new(F32, 0n, 0.0))), spec(input, axes, fill, ops, count, inner, base), low) : {ANode{_, Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, Nat.add(Model.capacity(inner), base), (Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), Array.new(F32, 0n, 0.0)))} == spec(input, axes, fill, ops, count, 1n+inner, base) : Array} %Equal.sym(Array, Parallel.build(~Build.Request, ~Build.Recipe, ~Array, ~Array, ~Build.recipe, ~Build.split, ~Build.cell, Build.Request{input, axes}, inner, rest, count, Nat.add(Model.capacity(inner), base), (Api.arr((Api.Right{} <> Owned.norm(U32.to_nat(Shape.count(input)), ops, Nil{})), ds, fill), Array.new(F32, 0n, 0.0))), spec(input, axes, fill, ops, count, inner, Nat.add(Model.capacity(inner), base)), high) : {ANode{spec(input, axes, fill, ops, count, inner, base), _} == spec(input, axes, fill, ops, count, 1n+inner, base) : Array} {==} Uses (36): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.clone https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.new https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32 https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32 https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Shape https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=count https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=dimensions https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=logical_numel https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=Op https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=Effect https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/api.bend&name=arr https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=bounds https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=capacity https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend&name=clone_first_eq https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend&name=clone_second_eq https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_storage_proof.bend&name=norm https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Plan https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=output https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/parallel.bend&name=build https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/parallel.bend&name=fork https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build.bend&name=Recipe https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build.bend&name=Request https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build.bend&name=cell https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build.bend&name=halves https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build.bend&name=recipe https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build.bend&name=split https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend&name=spec