def fit_0213

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:890

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

890def fit_0213(+dims: List<&2, Nat>, +coords: List<&2, Nat>, dl: {List.length(&2, Nat, dims) == 4n : Nat}, cl: {List.length(&2, Nat, coords) == 4n : Nat}) -> {Shape.fit(Axis.order(Nat, dims, [0n, 2n, 1n, 3n]), Axis.order(Nat, coords, [0n, 2n, 1n, 3n])) == Shape.fit(dims, coords) : Bool}:
891  match dims:
892    case Nil{}:
893      Empty.absurd({Shape.fit(Axis.order(Nat, Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, coords, [0n, 2n, 1n, 3n])) == Shape.fit(Nil{}, coords) : Bool}, nat_clash(0n, 4n, dl, {==}))
894    case +d0 <> Nil{}:
895      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, coords, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> Nil{}, coords) : Bool}, nat_clash(1n, 4n, dl, {==}))
896    case +d0 <> +d1 <> Nil{}:
897      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, coords, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> Nil{}, coords) : Bool}, nat_clash(2n, 4n, dl, {==}))
898    case +d0 <> +d1 <> +d2 <> Nil{}:
899      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, coords, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, coords) : Bool}, nat_clash(3n, 4n, dl, {==}))
900    case +d0 <> +d1 <> +d2 <> +d3 <> Nil{}:
901      match coords:
902        case Nil{}:
903          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, Nil{}, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, Nil{}) : Bool}, nat_clash(0n, 4n, cl, {==}))
904        case +c0 <> Nil{}:
905          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, c0 <> Nil{}, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> Nil{}) : Bool}, nat_clash(1n, 4n, cl, {==}))
906        case +c0 <> +c1 <> Nil{}:
907          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, c0 <> c1 <> Nil{}, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> Nil{}) : Bool}, nat_clash(2n, 4n, cl, {==}))
908        case +c0 <> +c1 <> +c2 <> Nil{}:
909          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, c0 <> c1 <> c2 <> Nil{}, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> c2 <> Nil{}) : Bool}, nat_clash(3n, 4n, cl, {==}))
910        case +c0 <> +c1 <> +c2 <> +c3 <> Nil{}:
911          Equal.trans(Bool, Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c3, d3), True{})))), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c3, d3), True{})))), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c3, d3), True{})))), Equal.cong(Bool, Bool, value => Bool.and(Nat.is_lt(c0, d0), value), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c3, d3), True{}))), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c3, d3), True{}))), and_swap(Nat.is_lt(c2, d2), Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c3, d3), True{}))), {==})
912        case +c0 <> +c1 <> +c2 <> +c3 <> +c4 <> +ct:
913          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [0n, 2n, 1n, 3n]), Axis.order(Nat, c0 <> c1 <> c2 <> c3 <> c4 <> ct, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> c2 <> c3 <> c4 <> ct) : Bool}, nat_clash(5n+List.length(&2, Nat, ct), 4n, cl, {==}))
914    case +d0 <> +d1 <> +d2 <> +d3 <> +d4 <> +dt:
915      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> d4 <> dt, [0n, 2n, 1n, 3n]), Axis.order(Nat, coords, [0n, 2n, 1n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> d4 <> dt, coords) : Bool}, nat_clash(5n+List.length(&2, Nat, dt), 4n, dl, {==}))