def fit_1023

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:1118

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

1118def fit_1023(+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, [1n, 0n, 2n, 3n]), Axis.order(Nat, coords, [1n, 0n, 2n, 3n])) == Shape.fit(dims, coords) : Bool}:
1119  match dims:
1120    case Nil{}:
1121      Empty.absurd({Shape.fit(Axis.order(Nat, Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, coords, [1n, 0n, 2n, 3n])) == Shape.fit(Nil{}, coords) : Bool}, nat_clash(0n, 4n, dl, {==}))
1122    case +d0 <> Nil{}:
1123      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, coords, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> Nil{}, coords) : Bool}, nat_clash(1n, 4n, dl, {==}))
1124    case +d0 <> +d1 <> Nil{}:
1125      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, coords, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> d1 <> Nil{}, coords) : Bool}, nat_clash(2n, 4n, dl, {==}))
1126    case +d0 <> +d1 <> +d2 <> Nil{}:
1127      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, coords, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, coords) : Bool}, nat_clash(3n, 4n, dl, {==}))
1128    case +d0 <> +d1 <> +d2 <> +d3 <> Nil{}:
1129      match coords:
1130        case Nil{}:
1131          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, Nil{}, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, Nil{}) : Bool}, nat_clash(0n, 4n, cl, {==}))
1132        case +c0 <> Nil{}:
1133          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, c0 <> Nil{}, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> Nil{}) : Bool}, nat_clash(1n, 4n, cl, {==}))
1134        case +c0 <> +c1 <> Nil{}:
1135          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, c0 <> c1 <> Nil{}, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> Nil{}) : Bool}, nat_clash(2n, 4n, cl, {==}))
1136        case +c0 <> +c1 <> +c2 <> Nil{}:
1137          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, c0 <> c1 <> c2 <> Nil{}, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> c2 <> Nil{}) : Bool}, nat_clash(3n, 4n, cl, {==}))
1138        case +c0 <> +c1 <> +c2 <> +c3 <> Nil{}:
1139          Equal.trans(Bool, Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c0, d0), 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{})))), 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{})))), and_swap(Nat.is_lt(c1, d1), Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c3, d3), True{}))), {==})
1140        case +c0 <> +c1 <> +c2 <> +c3 <> +c4 <> +ct:
1141          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [1n, 0n, 2n, 3n]), Axis.order(Nat, c0 <> c1 <> c2 <> c3 <> c4 <> ct, [1n, 0n, 2n, 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, {==}))
1142    case +d0 <> +d1 <> +d2 <> +d3 <> +d4 <> +dt:
1143      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> d4 <> dt, [1n, 0n, 2n, 3n]), Axis.order(Nat, coords, [1n, 0n, 2n, 3n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> d4 <> dt, coords) : Bool}, nat_clash(5n+List.length(&2, Nat, dt), 4n, dl, {==}))