def fit_3210
bendtorch-core@0.1.0.0 · src/tensor/axis_algebra.bend:2087
import bendtorch-core@0.1.0.0/src/tensor/axis_algebra.bend as AxisAlgebra
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
2087def fit_3210(+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, 2n, 1n, 0n]), Axis.order(Nat, coords, [3n, 2n, 1n, 0n])) == Shape.fit(dims, coords) : Bool}:
2088 match dims:
2089 case Nil{}:
2090 Empty.absurd({Shape.fit(Axis.order(Nat, Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, coords, [3n, 2n, 1n, 0n])) == Shape.fit(Nil{}, coords) : Bool}, nat_clash(0n, 4n, dl, {==}))
2091 case +d0 <> Nil{}:
2092 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, coords, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> Nil{}, coords) : Bool}, nat_clash(1n, 4n, dl, {==}))
2093 case +d0 <> +d1 <> Nil{}:
2094 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, coords, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> Nil{}, coords) : Bool}, nat_clash(2n, 4n, dl, {==}))
2095 case +d0 <> +d1 <> +d2 <> Nil{}:
2096 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, coords, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> Nil{}, coords) : Bool}, nat_clash(3n, 4n, dl, {==}))
2097 case +d0 <> +d1 <> +d2 <> +d3 <> Nil{}:
2098 match coords:
2099 case Nil{}:
2100 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, Nil{}, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, Nil{}) : Bool}, nat_clash(0n, 4n, cl, {==}))
2101 case +c0 <> Nil{}:
2102 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, c0 <> Nil{}, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> Nil{}) : Bool}, nat_clash(1n, 4n, cl, {==}))
2103 case +c0 <> +c1 <> Nil{}:
2104 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, c0 <> c1 <> Nil{}, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> Nil{}) : Bool}, nat_clash(2n, 4n, cl, {==}))
2105 case +c0 <> +c1 <> +c2 <> Nil{}:
2106 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, c0 <> c1 <> c2 <> Nil{}, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> c2 <> Nil{}) : Bool}, nat_clash(3n, 4n, cl, {==}))
2107 case +c0 <> +c1 <> +c2 <> +c3 <> Nil{}:
2108 Equal.trans(Bool, Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c0, d0), True{})))), Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), 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(c3, d3), Bool.and(Nat.is_lt(c2, d2), value)), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c0, d0), True{})), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), True{})), and_swap(Nat.is_lt(c1, d1), Nat.is_lt(c0, d0), True{})), Equal.trans(Bool, Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), True{})))), Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), 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(c3, d3), value), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), True{}))), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), True{}))), and_swap(Nat.is_lt(c2, d2), Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c1, d1), True{}))), Equal.trans(Bool, Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), True{})))), Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), 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(c2, d2), Bool.and(Nat.is_lt(c1, d1), True{}))), Equal.trans(Bool, Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c3, d3), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), 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{})))), Equal.cong(Bool, Bool, value => Bool.and(Nat.is_lt(c0, d0), Bool.and(Nat.is_lt(c3, d3), value)), Bool.and(Nat.is_lt(c2, d2), Bool.and(Nat.is_lt(c1, d1), True{})), Bool.and(Nat.is_lt(c1, d1), Bool.and(Nat.is_lt(c2, d2), True{})), and_swap(Nat.is_lt(c2, d2), Nat.is_lt(c1, d1), 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{})), {==}))))))
2109 case +c0 <> +c1 <> +c2 <> +c3 <> +c4 <> +ct:
2110 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> Nil{}, [3n, 2n, 1n, 0n]), Axis.order(Nat, c0 <> c1 <> c2 <> c3 <> c4 <> ct, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> Nil{}, c0 <> c1 <> c2 <> c3 <> c4 <> ct) : Bool}, nat_clash(5n+List.length(&2, Nat, ct), 4n, cl, {==}))
2111 case +d0 <> +d1 <> +d2 <> +d3 <> +d4 <> +dt:
2112 Empty.absurd({Shape.fit(Axis.order(Nat, d0 <> d1 <> d2 <> d3 <> d4 <> dt, [3n, 2n, 1n, 0n]), Axis.order(Nat, coords, [3n, 2n, 1n, 0n])) == Shape.fit(d0 <> d1 <> d2 <> d3 <> d4 <> dt, coords) : Bool}, nat_clash(5n+List.length(&2, Nat, dt), 4n, dl, {==}))