def fit_012

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:478

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

478def fit_012(+dims: List<&2, Nat>, +coords: List<&2, Nat>, dl: {List.length(&2, Nat, dims) == 3n : Nat}, cl: {List.length(&2, Nat, coords) == 3n : Nat}) -> {Shape.fit(Axis.order(Nat, dims, [0n, 1n, 2n]), Axis.order(Nat, coords, [0n, 1n, 2n])) == Shape.fit(dims, coords) : Bool}:
479  match dims:
480    case Nil{}:
481      Empty.absurd({Shape.fit(Axis.order(Nat, Nil{}, [0n, 1n, 2n]), Axis.order(Nat, coords, [0n, 1n, 2n])) == Shape.fit(Nil{}, coords) : Bool}, nat_clash(0n, 3n, dl, {==}))
482    case +d0 <> Nil{}:
483      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> Nil{}, [0n, 1n, 2n]), Axis.order(Nat, coords, [0n, 1n, 2n])) == Shape.fit(d0 <> Nil{}, coords) : Bool}, nat_clash(1n, 3n, dl, {==}))
484    case +d0 <> +d1 <> Nil{}:
485      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> Nil{}, [0n, 1n, 2n]), Axis.order(Nat, coords, [0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> Nil{}, coords) : Bool}, nat_clash(2n, 3n, dl, {==}))
486    case +d0 <> +d1 <> +d2 <> Nil{}:
487      match coords:
488        case Nil{}:
489          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [0n, 1n, 2n]), Axis.order(Nat, Nil{}, [0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, Nil{}) : Bool}, nat_clash(0n, 3n, cl, {==}))
490        case +c0 <> Nil{}:
491          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [0n, 1n, 2n]), Axis.order(Nat, c0 <> Nil{}, [0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, c0 <> Nil{}) : Bool}, nat_clash(1n, 3n, cl, {==}))
492        case +c0 <> +c1 <> Nil{}:
493          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [0n, 1n, 2n]), Axis.order(Nat, c0 <> c1 <> Nil{}, [0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, c0 <> c1 <> Nil{}) : Bool}, nat_clash(2n, 3n, cl, {==}))
494        case +c0 <> +c1 <> +c2 <> Nil{}:
495          {==}
496        case +c0 <> +c1 <> +c2 <> +c3 <> +ct:
497          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [0n, 1n, 2n]), Axis.order(Nat, c0 <> c1 <> c2 <> c3 <> ct, [0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, c0 <> c1 <> c2 <> c3 <> ct) : Bool}, nat_clash(4n+List.length(&2, Nat, ct), 3n, cl, {==}))
498    case +d0 <> +d1 <> +d2 <> +d3 <> +dt:
499      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> dt, [0n, 1n, 2n]), Axis.order(Nat, coords, [0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> dt, coords) : Bool}, nat_clash(4n+List.length(&2, Nat, dt), 3n, dl, {==}))