def product_012

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:465

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/axis_spec.bend as Axis

465def product_012(+dims: List<&2, Nat>, length: {List.length(&2, Nat, dims) == 3n : Nat}) -> {Shape.numel(Axis.order(Nat, dims, [0n, 1n, 2n])) == Shape.numel(dims) : Nat}:
466  match dims:
467    case Nil{}:
468      Empty.absurd({Shape.numel(Axis.order(Nat, Nil{}, [0n, 1n, 2n])) == Shape.numel(Nil{}) : Nat}, nat_clash(0n, 3n, length, {==}))
469    case +x0 <> Nil{}:
470      Empty.absurd({Shape.numel(Axis.order(Nat, x0 <> Nil{}, [0n, 1n, 2n])) == Shape.numel(x0 <> Nil{}) : Nat}, nat_clash(1n, 3n, length, {==}))
471    case +x0 <> +x1 <> Nil{}:
472      Empty.absurd({Shape.numel(Axis.order(Nat, x0 <> x1 <> Nil{}, [0n, 1n, 2n])) == Shape.numel(x0 <> x1 <> Nil{}) : Nat}, nat_clash(2n, 3n, length, {==}))
473    case +x0 <> +x1 <> +x2 <> Nil{}:
474      {==}
475    case +x0 <> +x1 <> +x2 <> +x3 <> +tail:
476      Empty.absurd({Shape.numel(Axis.order(Nat, x0 <> x1 <> x2 <> x3 <> tail, [0n, 1n, 2n])) == Shape.numel(x0 <> x1 <> x2 <> x3 <> tail) : Nat}, nat_clash(4n+List.length(&2, Nat, tail), 3n, length, {==}))