def fit_120

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:625

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

625def fit_120(+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, [1n, 2n, 0n]), Axis.order(Nat, coords, [1n, 2n, 0n])) == Shape.fit(dims, coords) : Bool}:
626  match dims:
627    case Nil{}:
628      Empty.absurd({Shape.fit(Axis.order(Nat, Nil{}, [1n, 2n, 0n]), Axis.order(Nat, coords, [1n, 2n, 0n])) == Shape.fit(Nil{}, coords) : Bool}, nat_clash(0n, 3n, dl, {==}))
629    case +d0 <> Nil{}:
630      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> Nil{}, [1n, 2n, 0n]), Axis.order(Nat, coords, [1n, 2n, 0n])) == Shape.fit(d0 <> Nil{}, coords) : Bool}, nat_clash(1n, 3n, dl, {==}))
631    case +d0 <> +d1 <> Nil{}:
632      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> Nil{}, [1n, 2n, 0n]), Axis.order(Nat, coords, [1n, 2n, 0n])) == Shape.fit(d0 <> d1 <> Nil{}, coords) : Bool}, nat_clash(2n, 3n, dl, {==}))
633    case +d0 <> +d1 <> +d2 <> Nil{}:
634      match coords:
635        case Nil{}:
636          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [1n, 2n, 0n]), Axis.order(Nat, Nil{}, [1n, 2n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, Nil{}) : Bool}, nat_clash(0n, 3n, cl, {==}))
637        case +c0 <> Nil{}:
638          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [1n, 2n, 0n]), Axis.order(Nat, c0 <> Nil{}, [1n, 2n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, c0 <> Nil{}) : Bool}, nat_clash(1n, 3n, cl, {==}))
639        case +c0 <> +c1 <> Nil{}:
640          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [1n, 2n, 0n]), Axis.order(Nat, c0 <> c1 <> Nil{}, [1n, 2n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, c0 <> c1 <> Nil{}) : Bool}, nat_clash(2n, 3n, cl, {==}))
641        case +c0 <> +c1 <> +c2 <> Nil{}:
642          Equal.trans(Bool, Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c0, d0), True{}))), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), True{}))), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), True{}))), Equal.cong(Bool, Bool, value => Bool.and(Nat.is_lt(c1, d1), value), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c0, d0), True{})), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), True{})), and_swap(Nat.is_lt(c2, d2), Nat.is_lt(c0, d0), True{})), Equal.trans(Bool, Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), True{}))), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), True{}))), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), True{}))), and_swap(Nat.is_lt(c1, d1), Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), True{})), {==}))
643        case +c0 <> +c1 <> +c2 <> +c3 <> +ct:
644          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [1n, 2n, 0n]), Axis.order(Nat, c0 <> c1 <> c2 <> c3 <> ct, [1n, 2n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, c0 <> c1 <> c2 <> c3 <> ct) : Bool}, nat_clash(4n+List.length(&2, Nat, ct), 3n, cl, {==}))
645    case +d0 <> +d1 <> +d2 <> +d3 <> +dt:
646      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> dt, [1n, 2n, 0n]), Axis.order(Nat, coords, [1n, 2n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> dt, coords) : Bool}, nat_clash(4n+List.length(&2, Nat, dt), 3n, dl, {==}))