def fit_3012

bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:1802

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

1802def fit_3012(+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, [3n, 0n, 1n, 2n]), Axis.order(Nat, coords, [3n, 0n, 1n, 2n])) == Shape.fit(dims, coords) : Bool}:
1803  match dims:
1804    case Nil{}:
1805      Empty.absurd({Shape.fit(Axis.order(Nat, Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, coords, [3n, 0n, 1n, 2n])) == Shape.fit(Nil{}, coords) : Bool}, nat_clash(0n, 4n, dl, {==}))
1806    case +d0 <> Nil{}:
1807      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, coords, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> Nil{}, coords) : Bool}, nat_clash(1n, 4n, dl, {==}))
1808    case +d0 <> +d1 <> Nil{}:
1809      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, coords, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> Nil{}, coords) : Bool}, nat_clash(2n, 4n, dl, {==}))
1810    case +d0 <> +d1 <> +d2 <> Nil{}:
1811      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, coords, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, coords) : Bool}, nat_clash(3n, 4n, dl, {==}))
1812    case +d0 <> +d1 <> +d2 <> +d3 <> Nil{}:
1813      match coords:
1814        case Nil{}:
1815          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, Nil{}, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, Nil{}) : Bool}, nat_clash(0n, 4n, cl, {==}))
1816        case +c0 <> Nil{}:
1817          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, c0 <> Nil{}, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> Nil{}) : Bool}, nat_clash(1n, 4n, cl, {==}))
1818        case +c0 <> +c1 <> Nil{}:
1819          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, c0 <> c1 <> Nil{}, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> Nil{}) : Bool}, nat_clash(2n, 4n, cl, {==}))
1820        case +c0 <> +c1 <> +c2 <> Nil{}:
1821          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, c0 <> c1 <> c2 <> Nil{}, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> c2 <> Nil{}) : Bool}, nat_clash(3n, 4n, cl, {==}))
1822        case +c0 <> +c1 <> +c2 <> +c3 <> Nil{}:
1823          Equal.trans(Bool, Bool.and(Nat.is_lt(c3, d3), 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(c3, d3), 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), Bool.and(Nat.is_lt(c3, d3), True{})))), and_swap(Nat.is_lt(c3, d3), Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), True{}))), Equal.trans(Bool, Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c3, d3), 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(c3, d3), 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), 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(c3, d3), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), True{}))), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c2, d2), True{}))), and_swap(Nat.is_lt(c3, d3), Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), True{}))), Equal.trans(Bool, Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c3, d3), 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), 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), Bool.and(Nat.is_lt(c1, d1), value)), Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c2, d2), True{})), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c3, d3), True{})), and_swap(Nat.is_lt(c3, d3), Nat.is_lt(c2, d2), True{})), {==})))
1824        case +c0 <> +c1 <> +c2 <> +c3 <> +c4 <> +ct:
1825          Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 0n, 1n, 2n]), Axis.order(Nat, c0 <> c1 <> c2 <> c3 <> c4 <> ct, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> c2 <> c3 <> c4 <> ct) : Bool}, nat_clash(5n+List.length(&2, Nat, ct), 4n, cl, {==}))
1826    case +d0 <> +d1 <> +d2 <> +d3 <> +d4 <> +dt:
1827      Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> d4 <> dt, [3n, 0n, 1n, 2n]), Axis.order(Nat, coords, [3n, 0n, 1n, 2n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> d4 <> dt, coords) : Bool}, nat_clash(5n+List.length(&2, Nat, dt), 4n, dl, {==}))