From 78552ef44526d0d1bb482543c1e6fca6c6d79280 Mon Sep 17 00:00:00 2001 From: Minke Zhang Date: Sat, 14 May 2022 23:55:49 -0700 Subject: [PATCH 01/11] Migrate to use geometry/2d/constraint with Mutable() API --- internal/geometry/2d/constraint/constraint.go | 3 +- internal/solver/2d/solver.go | 20 +- internal/solver/2d/solver_test.go | 78 +++-- internal/solver/3d/solver.go | 56 ++-- internal/solver/3d/solver_test.go | 275 +++++++++++------- internal/solver/solver.go | 2 +- internal/solver/solver_test.go | 42 ++- orca/orca.go | 37 ++- 8 files changed, 311 insertions(+), 202 deletions(-) diff --git a/internal/geometry/2d/constraint/constraint.go b/internal/geometry/2d/constraint/constraint.go index 582e126..92fe3c0 100644 --- a/internal/geometry/2d/constraint/constraint.go +++ b/internal/geometry/2d/constraint/constraint.go @@ -17,5 +17,6 @@ func New(c constraint.C, mutable bool) *C { } } -func (c C) In(v vector.V) bool { return c.c.In(v) } +func (c C) C() constraint.C { return c.c } +func (c C) In(v vector.V) bool { return c.C().In(v) } func (c C) Mutable() bool { return c.mutable } diff --git a/internal/solver/2d/solver.go b/internal/solver/2d/solver.go index 3a8ddce..5f05ecc 100644 --- a/internal/solver/2d/solver.go +++ b/internal/solver/2d/solver.go @@ -4,10 +4,12 @@ package solver import ( "math" - "github.com/downflux/go-geometry/2d/constraint" "github.com/downflux/go-geometry/2d/hyperplane" "github.com/downflux/go-geometry/2d/segment" "github.com/downflux/go-geometry/2d/vector" + "github.com/downflux/go-orca/internal/geometry/2d/constraint" + + c2d "github.com/downflux/go-geometry/2d/constraint" ) // O specifies an optimization function for the 2D lineaer problem. This @@ -40,7 +42,7 @@ type M interface { // // Bound must return false if the input constraint lies outside the // bounds of M. - Bound(c constraint.C) (segment.S, bool) + Bound(c c2d.C) (segment.S, bool) // Within checks if the given vector satisifies the initial bounds of M. Within(v vector.V) bool @@ -50,7 +52,7 @@ type M interface { type Unbounded struct { } -func (Unbounded) Bound(c constraint.C) (segment.S, bool) { +func (Unbounded) Bound(c c2d.C) (segment.S, bool) { l := hyperplane.Line(hyperplane.HP(c)) return *segment.New(l, math.Inf(-1), math.Inf(0)), true } @@ -104,16 +106,16 @@ func (r *region) intersect(c constraint.C) (segment.S, bool) { return segment.S{}, r.Feasible() } - s, ok := r.m.Bound(c) + s, ok := r.m.Bound(c.C()) if !ok { r.infeasible = true return segment.S{}, r.Feasible() } - l := hyperplane.Line(hyperplane.HP(c)) + l := hyperplane.Line(hyperplane.HP(c.C())) for _, d := range r.constraints { i, ok := l.Intersect( - hyperplane.Line(hyperplane.HP(d)), + hyperplane.Line(hyperplane.HP(d.C())), ) // Check for disjoint planes. @@ -127,9 +129,9 @@ func (r *region) intersect(c constraint.C) (segment.S, bool) { // lines -- the previous feasibility check should avoid the // call. if hyperplane.Disjoint( - hyperplane.HP(c), - hyperplane.HP(d), - ) || (!ok && !d.In(hyperplane.HP(c).P())) { + hyperplane.HP(c.C()), + hyperplane.HP(d.C()), + ) || (!ok && !d.In(hyperplane.HP(c.C()).P())) { r.infeasible = true return segment.S{}, r.Feasible() } diff --git a/internal/solver/2d/solver_test.go b/internal/solver/2d/solver_test.go index ad220d6..3a780f4 100644 --- a/internal/solver/2d/solver_test.go +++ b/internal/solver/2d/solver_test.go @@ -5,13 +5,14 @@ import ( "math" "testing" - "github.com/downflux/go-geometry/2d/constraint" "github.com/downflux/go-geometry/2d/hyperplane" "github.com/downflux/go-geometry/2d/segment" "github.com/downflux/go-geometry/2d/vector" "github.com/downflux/go-geometry/nd/line" + "github.com/downflux/go-orca/internal/geometry/2d/constraint" "github.com/google/go-cmp/cmp" + c2d "github.com/downflux/go-geometry/2d/constraint" l2d "github.com/downflux/go-geometry/2d/line" ) @@ -29,7 +30,7 @@ func TestIntersect(t *testing.T) { testConfigs := []config{ func() config { - c := *constraint.New( + c := *c2d.New( *vector.New(1, 0), *vector.New(0, 1), ) @@ -37,7 +38,7 @@ func TestIntersect(t *testing.T) { l := hyperplane.Line(hyperplane.HP(c)) return config{ name: "FirstConstraint", - c: c, + c: *constraint.New(c, true), cs: []constraint.C{}, success: true, want: *segment.New(l, math.Inf(-1), math.Inf(0)), @@ -45,19 +46,19 @@ func TestIntersect(t *testing.T) { }(), func() config { - c := *constraint.New( + c := *c2d.New( *vector.New(0, 1), *vector.New(0, 1), ) - d := *constraint.New( + d := *c2d.New( *vector.New(0, -1), *vector.New(0, -1), ) return config{ name: "SingleConstraint/Infeasible/Disjoint", - c: c, - cs: []constraint.C{d}, + c: *constraint.New(c, true), + cs: []constraint.C{*constraint.New(d, true)}, success: false, want: segment.S{}, } @@ -70,12 +71,12 @@ func TestIntersect(t *testing.T) { func() config { p := *vector.New(1, 0) - c := *constraint.New( + c := *c2d.New( p, *vector.New(1, -1), ) - d := *constraint.New( + d := *c2d.New( p, *vector.New(1, 0), ) @@ -83,8 +84,8 @@ func TestIntersect(t *testing.T) { l := hyperplane.Line(hyperplane.HP(c)) return config{ name: "SingleConstraint/Feasible/SetTMin", - c: c, - cs: []constraint.C{d}, + c: *constraint.New(c, true), + cs: []constraint.C{*constraint.New(d, true)}, success: true, want: *segment.New(l, 0, math.Inf(0)), } @@ -97,12 +98,12 @@ func TestIntersect(t *testing.T) { func() config { p := *vector.New(1, 0) - c := *constraint.New( + c := *c2d.New( p, *vector.New(1, 1), ) - d := *constraint.New( + d := *c2d.New( p, *vector.New(1, 0), ) @@ -110,8 +111,8 @@ func TestIntersect(t *testing.T) { l := hyperplane.Line(hyperplane.HP(c)) return config{ name: "SingleConstraint/Feasible/SetTMax", - c: c, - cs: []constraint.C{d}, + c: *constraint.New(c, true), + cs: []constraint.C{*constraint.New(d, true)}, success: true, want: *segment.New(l, math.Inf(-1), 0), } @@ -134,12 +135,12 @@ func TestIntersect(t *testing.T) { // "relaxing" the constraint if C is added after D, which will // return an infeasibility error. func() []config { - c := *constraint.New( + c := *c2d.New( *vector.New(1, 0), *vector.New(1, 0), ) - d := *constraint.New( + d := *c2d.New( *vector.New(2, 0), *vector.New(1, 0), ) @@ -148,15 +149,15 @@ func TestIntersect(t *testing.T) { return []config{ { name: "SingleConstraint/Infeasible/RelaxedParallelConstraint", - c: c, - cs: []constraint.C{d}, + c: *constraint.New(c, true), + cs: []constraint.C{*constraint.New(d, true)}, success: false, want: segment.S{}, }, { name: "SingleConstraint/Feasible/ConstrainedParallelConstraint", - c: d, - cs: []constraint.C{c}, + c: *constraint.New(d, true), + cs: []constraint.C{*constraint.New(c, true)}, success: true, want: *segment.New(m, math.Inf(-1), math.Inf(0)), }, @@ -204,12 +205,18 @@ func TestSolve(t *testing.T) { m: Unbounded{}, cs: []constraint.C{ *constraint.New( - *vector.New(0, 1), - *vector.New(0, 1), + *c2d.New( + *vector.New(0, 1), + *vector.New(0, 1), + ), + true, ), *constraint.New( - *vector.New(0, -1), - *vector.New(0, -1), + *c2d.New( + *vector.New(0, -1), + *vector.New(0, -1), + ), + true, ), }, o: func(segment.S) vector.V { return vector.V{} }, @@ -229,16 +236,25 @@ func TestSolve(t *testing.T) { // The graph shows a vertical x = 4 constraint, // but the solution assumes x = 5. *constraint.New( - *vector.New(5, 0), - *vector.New(-5, 0), + *c2d.New( + *vector.New(5, 0), + *vector.New(-5, 0), + ), + true, ), *constraint.New( - *vector.New(0, 4), - *vector.New(1, 2), + *c2d.New( + *vector.New(0, 4), + *vector.New(1, 2), + ), + true, ), *constraint.New( - *vector.New(0, 4), - *vector.New(-1, -4), + *c2d.New( + *vector.New(0, 4), + *vector.New(-1, -4), + ), + true, ), } o := func(s segment.S) vector.V { diff --git a/internal/solver/3d/solver.go b/internal/solver/3d/solver.go index ff43ef9..f82553f 100644 --- a/internal/solver/3d/solver.go +++ b/internal/solver/3d/solver.go @@ -78,11 +78,13 @@ package solver import ( - "github.com/downflux/go-geometry/2d/constraint" "github.com/downflux/go-geometry/2d/hyperplane" "github.com/downflux/go-geometry/2d/segment" "github.com/downflux/go-geometry/2d/vector" + "github.com/downflux/go-orca/internal/geometry/2d/constraint" "github.com/downflux/go-orca/internal/solver/2d" + + c2d "github.com/downflux/go-geometry/2d/constraint" ) type M interface { @@ -128,13 +130,13 @@ func (r *region) Solve(c constraint.C) (vector.V, bool) { // incremental constraint, as fast as the bounding constraints will // allow us -- that is, ensure that the normal vector is projected into // the edge of the bounding constraints. - v := r.m.V(hyperplane.HP(c).N()) + v := r.m.V(hyperplane.HP(c.C()).N()) return solver.Solve(r.m, cs, func(s segment.S) vector.V { // As in hyperplane.Line, we are defining the normal of a line // to be pointing into the feasible region of hyperplane, which // is defined as a vector rotated anti-clockwise to the line direction. - c := *constraint.New(s.L().P(), s.L().N()) + c := *constraint.New(*c2d.New(s.L().P(), s.L().N()), false) // Find a t-value in the projected constraints which will // minimizes the distance along the Z-axis to the target vector. @@ -172,8 +174,8 @@ func (r *region) project(c constraint.C) ([]constraint.C, bool) { // this. var pc constraint.C - l := hyperplane.Line(hyperplane.HP(c)) - m := hyperplane.Line(hyperplane.HP(d)) + l := hyperplane.Line(hyperplane.HP(c.C())) + m := hyperplane.Line(hyperplane.HP(d.C())) i, ok := l.Intersect(m) @@ -183,7 +185,7 @@ func (r *region) project(c constraint.C) ([]constraint.C, bool) { // constraint. We need to check for this condition in the // caller and ensure we do not call Solve() in this case. if !ok && l.Parallel(m) { - if !d.In(hyperplane.HP(c).P()) { + if !d.In(hyperplane.HP(c.C()).P()) { r.infeasible = true return nil, r.Feasible() } @@ -199,30 +201,36 @@ func (r *region) project(c constraint.C) ([]constraint.C, bool) { // constraints for inflexible walls, we will need to // offset this new plane accordingly. pc = *constraint.New( - vector.Scale(0.5, vector.Add(l.P(), m.P())), - hyperplane.HP(c).N(), + *c2d.New( + vector.Scale(0.5, vector.Add(l.P(), m.P())), + hyperplane.HP(c.C()).N(), + ), + false, ) } else { // Just as in the 2D case, we do not consider there to be a // The two constraints intersect. pc = *constraint.New( - i, - // We want the line of intersection to bisect - // the constraints, so we need to ensure the two - // input vectors have equal "weight". - // - // The ratio of angles between this new - // constraint and the constraints C and D can be - // is the assumption all agents act - // symmetrically. When calculating constraints - // for inflexible walls, we will need to offset - // this new plane accordingly. - vector.Unit( - vector.Sub( - vector.Unit(hyperplane.HP(d).N()), - vector.Unit(hyperplane.HP(c).N()), + *c2d.New( + i, + // We want the line of intersection to bisect + // the constraints, so we need to ensure the two + // input vectors have equal "weight". + // + // The ratio of angles between this new + // constraint and the constraints C and D can be + // is the assumption all agents act + // symmetrically. When calculating constraints + // for inflexible walls, we will need to offset + // this new plane accordingly. + vector.Unit( + vector.Sub( + vector.Unit(hyperplane.HP(d.C()).N()), + vector.Unit(hyperplane.HP(c.C()).N()), + ), ), ), + false, ) } @@ -253,7 +261,7 @@ func Solve(m M, cs []constraint.C, v vector.V) vector.V { constraints: make([]constraint.C, 0, len(cs)), } for _, c := range cs { - l := hyperplane.Line(hyperplane.HP(c)) + l := hyperplane.Line(hyperplane.HP(c.C())) // The base 2D linear programming problem may be infeasible. In // order to "solve" this problem, we are systematically relaxing // the 2D constraint requirements with a slack variable diff --git a/internal/solver/3d/solver_test.go b/internal/solver/3d/solver_test.go index 8882519..b0b6e9a 100644 --- a/internal/solver/3d/solver_test.go +++ b/internal/solver/3d/solver_test.go @@ -4,7 +4,10 @@ import ( "math" "testing" - "github.com/downflux/go-geometry/2d/constraint" + "github.com/downflux/go-orca/internal/geometry/2d/constraint" + + c2d "github.com/downflux/go-geometry/2d/constraint" + "github.com/downflux/go-geometry/2d/hyperplane" "github.com/downflux/go-geometry/2d/vector" "github.com/google/go-cmp/cmp" @@ -12,6 +15,14 @@ import ( var _ M = Unbounded{} +func mutable(cs []c2d.C) []constraint.C { + var ms []constraint.C + for _, c := range cs { + ms = append(ms, *constraint.New(c, true)) + } + return ms +} + func TestProject(t *testing.T) { type config struct { name string @@ -25,38 +36,50 @@ func TestProject(t *testing.T) { testConfigs := []config{ { name: "Parallel/Override", - cs: []constraint.C{ - *constraint.New( - *vector.New(0, 0), - *vector.New(0, 1), - ), - }, - c: *constraint.New( - *vector.New(0, 1), - *vector.New(0, 1), + cs: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 0), + *vector.New(0, 1), + ), + }, ), - success: true, - want: []constraint.C{ - *constraint.New( + c: *constraint.New( + *c2d.New( *vector.New(0, 1), *vector.New(0, 1), ), - }, + true, + ), + success: true, + want: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 1), + *vector.New(0, 1), + ), + }, + ), }, // A parallel constraint which relaxes a previous constraint // is not allowed when calling project(). The caller must make // sure this does not happen. { name: "Parallel/Infeasible", - cs: []constraint.C{ - *constraint.New( - *vector.New(0, 1), + cs: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 1), + *vector.New(0, 1), + ), + }, + ), + c: *constraint.New( + *c2d.New( + *vector.New(0, 0), *vector.New(0, 1), ), - }, - c: *constraint.New( - *vector.New(0, 0), - *vector.New(0, 1), + true, ), success: false, want: nil, @@ -66,45 +89,59 @@ func TestProject(t *testing.T) { // region. { name: "AntiParallel", - cs: []constraint.C{ - *constraint.New( - *vector.New(0, 0), + cs: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 0), + *vector.New(0, 1), + ), + }, + ), + c: *constraint.New( + *c2d.New( *vector.New(0, 1), + *vector.New(0, -1), ), - }, - c: *constraint.New( - *vector.New(0, 1), - *vector.New(0, -1), + true, ), success: true, - want: []constraint.C{ - *constraint.New( - *vector.New(0, 0.5), - *vector.New(0, -1), - ), - }, + want: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 0.5), + *vector.New(0, -1), + ), + }, + ), }, // Test that a plane-plane intersection may be constructed for // two constraints even if the intersection is disjoint. { name: "AntiParallel/Disjoint", - cs: []constraint.C{ - *constraint.New( - *vector.New(0, 1), - *vector.New(0, 1), - ), - }, - c: *constraint.New( - *vector.New(0, 0), - *vector.New(0, -1), + cs: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 1), + *vector.New(0, 1), + ), + }, ), - success: true, - want: []constraint.C{ - *constraint.New( - *vector.New(0, 0.5), + c: *constraint.New( + *c2d.New( + *vector.New(0, 0), *vector.New(0, -1), ), - }, + true, + ), + success: true, + want: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 0.5), + *vector.New(0, -1), + ), + }, + ), }, { @@ -119,23 +156,30 @@ func TestProject(t *testing.T) { // // x <= 0 name: "Bisect", - cs: []constraint.C{ - *constraint.New( + cs: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 1), + *vector.New(-1, 1), + ), + }, + ), + c: *constraint.New( + *c2d.New( *vector.New(0, 1), - *vector.New(-1, 1), + *vector.New(1, 1), ), - }, - c: *constraint.New( - *vector.New(0, 1), - *vector.New(1, 1), + true, ), success: true, - want: []constraint.C{ - *constraint.New( - *vector.New(0, 1), - *vector.New(-1, 0), - ), - }, + want: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 1), + *vector.New(-1, 0), + ), + }, + ), }, func() config { @@ -144,44 +188,46 @@ func TestProject(t *testing.T) { // (a) 2x - y <= -6 // (b) -3x - y <= -6 // (c) y <= 1 - a := *constraint.New( + a := *c2d.New( *vector.New(0, 6), *vector.New(-2, 1), ) - b := *constraint.New( + b := *c2d.New( *vector.New(0, 6), *vector.New(3, 1), ) - c := *constraint.New( + c := *c2d.New( *vector.New(0, 1), *vector.New(0, -1), ) return config{ name: "Bisect/Multiple", - cs: []constraint.C{a, b}, - c: c, + cs: mutable([]c2d.C{a, b}), + c: *constraint.New(c, true), success: true, - want: []constraint.C{ - *constraint.New( - *vector.New(-2.5, 1), - vector.Unit( - vector.Sub( - vector.Unit(hyperplane.HP(a).N()), - vector.Unit(hyperplane.HP(c).N()), + want: mutable( + []c2d.C{ + *c2d.New( + *vector.New(-2.5, 1), + vector.Unit( + vector.Sub( + vector.Unit(hyperplane.HP(a).N()), + vector.Unit(hyperplane.HP(c).N()), + ), ), ), - ), - *constraint.New( - *vector.New(5./3, 1), - vector.Unit( - vector.Sub( - vector.Unit(hyperplane.HP(b).N()), - vector.Unit(hyperplane.HP(c).N()), + *c2d.New( + *vector.New(5./3, 1), + vector.Unit( + vector.Sub( + vector.Unit(hyperplane.HP(b).N()), + vector.Unit(hyperplane.HP(c).N()), + ), ), ), - ), - }, + }, + ), } }(), } @@ -203,8 +249,8 @@ func TestProject(t *testing.T) { cmp.Comparer( func(a, b constraint.C) bool { return hyperplane.Within( - hyperplane.HP(a), - hyperplane.HP(b), + hyperplane.HP(a.C()), + hyperplane.HP(b.C()), ) }, ), @@ -234,8 +280,11 @@ func TestSolve(t *testing.T) { m: Unbounded{}, cs: nil, c: *constraint.New( - *vector.New(1, 2), - *vector.New(0, 2), + *c2d.New( + *vector.New(1, 2), + *vector.New(0, 2), + ), + true, ), success: true, want: *vector.New(0, 2), @@ -246,15 +295,20 @@ func TestSolve(t *testing.T) { { name: "AntiParallel/Intersect", m: Unbounded{}, - cs: []constraint.C{ - *constraint.New( + cs: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 1), + *vector.New(0, -1), + ), + }, + ), + c: *constraint.New( + *c2d.New( + *vector.New(0, 0), *vector.New(0, 1), - *vector.New(0, -1), ), - }, - c: *constraint.New( - *vector.New(0, 0), - *vector.New(0, 1), + true, ), success: true, // The 2D projection of the single pre-existing @@ -273,15 +327,20 @@ func TestSolve(t *testing.T) { { name: "AntiParallel/Disjoint", m: Unbounded{}, - cs: []constraint.C{ - *constraint.New( - *vector.New(0, 1), - *vector.New(0, 1), - ), - }, + cs: mutable( + []c2d.C{ + *c2d.New( + *vector.New(0, 1), + *vector.New(0, 1), + ), + }, + ), c: *constraint.New( - *vector.New(0, 0), - *vector.New(0, -1), + *c2d.New( + *vector.New(0, 0), + *vector.New(0, -1), + ), + true, ), success: true, // The 2D projection of the single pre-existing @@ -310,15 +369,15 @@ func TestSolve(t *testing.T) { // system of constraints defined by (a) and (b). This will // generate the projected linear equations as defined in // TestProject/Bisect/Multiple. - a := *constraint.New( + a := *c2d.New( *vector.New(0, 6), *vector.New(-2, 1), ) - b := *constraint.New( + b := *c2d.New( *vector.New(0, 6), *vector.New(3, 1), ) - c := *constraint.New( + c := *c2d.New( *vector.New(0, 1), *vector.New(0, -1), ) @@ -327,8 +386,8 @@ func TestSolve(t *testing.T) { { name: "2DInfeasible", m: Unbounded{}, - cs: []constraint.C{a, b}, - c: c, + cs: mutable([]c2d.C{a, b}), + c: *constraint.New(c, true), success: true, want: *vector.New(math.Inf(0), math.Inf(0)), }, @@ -338,8 +397,8 @@ func TestSolve(t *testing.T) { { name: "2DInfeasible/OrderInvariance", m: Unbounded{}, - cs: []constraint.C{b, a}, - c: c, + cs: mutable([]c2d.C{b, a}), + c: *constraint.New(c, true), success: true, want: *vector.New(math.Inf(0), math.Inf(0)), }, diff --git a/internal/solver/solver.go b/internal/solver/solver.go index bd79042..579bccd 100644 --- a/internal/solver/solver.go +++ b/internal/solver/solver.go @@ -1,9 +1,9 @@ package solver import ( - "github.com/downflux/go-geometry/2d/constraint" "github.com/downflux/go-geometry/2d/segment" "github.com/downflux/go-geometry/2d/vector" + "github.com/downflux/go-orca/internal/geometry/2d/constraint" "github.com/downflux/go-orca/internal/solver/bounds/circular" s2d "github.com/downflux/go-orca/internal/solver/2d" diff --git a/internal/solver/solver_test.go b/internal/solver/solver_test.go index 89c7b33..bd70826 100644 --- a/internal/solver/solver_test.go +++ b/internal/solver/solver_test.go @@ -4,10 +4,11 @@ import ( "math" "testing" - "github.com/downflux/go-geometry/2d/constraint" "github.com/downflux/go-geometry/2d/segment" "github.com/downflux/go-geometry/2d/vector" + "github.com/downflux/go-orca/internal/geometry/2d/constraint" + c2d "github.com/downflux/go-geometry/2d/constraint" v2d "github.com/downflux/go-geometry/2d/vector" s2d "github.com/downflux/go-orca/internal/solver/2d" ) @@ -55,8 +56,11 @@ func TestSolve(t *testing.T) { name: "2D/SingleConstraint/WithinConstraint", cs: []constraint.C{ *constraint.New( - *vector.New(0, 1), - *vector.New(0, 1), + *c2d.New( + *vector.New(0, 1), + *vector.New(0, 1), + ), + true, ), }, v: *v2d.New(0, 2), @@ -70,10 +74,12 @@ func TestSolve(t *testing.T) { name: "2D/SingleConstraint/OutsideConstraint", cs: []constraint.C{ *constraint.New( - *vector.New(0, 1), - *vector.New(0, 1), - ), - }, + *c2d.New( + *vector.New(0, 1), + *vector.New(0, 1), + ), + false, + )}, v: *v2d.New(0, -1), r: math.Inf(0), want: *v2d.New(0, 1), @@ -83,12 +89,12 @@ func TestSolve(t *testing.T) { testConfigs = append( testConfigs, func() []config { - c := *constraint.New( + c := *c2d.New( *vector.New(0, 1), *vector.New(0, 1), ) - d := *constraint.New( + d := *c2d.New( *vector.New(0, 2), *vector.New(0, 1), ) @@ -96,7 +102,7 @@ func TestSolve(t *testing.T) { return []config{ { name: "2D/ParalleConstraints/SuccessivelyConstrain", - cs: []constraint.C{c, d}, + cs: []constraint.C{*constraint.New(c, true), *constraint.New(d, true)}, v: *v2d.New(0, -1), r: math.Inf(0), want: *v2d.New(0, 2), @@ -107,7 +113,7 @@ func TestSolve(t *testing.T) { // infeasibility error. { name: "2D/ParalleConstraints/RelaxConstraintStillFeasible", - cs: []constraint.C{d, c}, + cs: []constraint.C{*constraint.New(d, true), *constraint.New(c, true)}, v: *v2d.New(0, -1), r: math.Inf(0), want: *v2d.New(0, 2), @@ -121,12 +127,18 @@ func TestSolve(t *testing.T) { func() []config { cs := []constraint.C{ *constraint.New( - *v2d.New(0, 1), - *v2d.New(0, 1), + *c2d.New( + *v2d.New(0, 1), + *v2d.New(0, 1), + ), + false, ), *constraint.New( - *v2d.New(0, -1), - *v2d.New(0, -1), + *c2d.New( + *v2d.New(0, -1), + *v2d.New(0, -1), + ), + false, ), } diff --git a/orca/orca.go b/orca/orca.go index 409f061..0acec07 100644 --- a/orca/orca.go +++ b/orca/orca.go @@ -4,16 +4,17 @@ import ( "fmt" "math" - "github.com/downflux/go-geometry/2d/constraint" "github.com/downflux/go-geometry/nd/hypersphere" "github.com/downflux/go-geometry/nd/vector" "github.com/downflux/go-orca/agent" + "github.com/downflux/go-orca/internal/geometry/2d/constraint" "github.com/downflux/go-orca/internal/solver" "github.com/downflux/go-orca/internal/vo/agent/opt" "github.com/downflux/go-orca/internal/vo/wall" "github.com/downflux/go-orca/kd" "github.com/downflux/go-orca/region" + c2d "github.com/downflux/go-geometry/2d/constraint" v2d "github.com/downflux/go-geometry/2d/vector" voagent "github.com/downflux/go-orca/internal/vo/agent" ) @@ -94,15 +95,21 @@ func step(a agent.A, t *kd.T, rs []region.R, f func(a agent.A) bool, tau float64 cs := make([]constraint.C, 0, len(ps)) for _, p := range ps { - cs = append(cs, constraint.C( - voagent.New( - p.(kd.P).A(), - opt.O{ - Weight: opt.WeightEqual, - VOpt: opt.VOptV, - }, - ).ORCA(a, tau), - )) + cs = append( + cs, + *constraint.New( + c2d.C( + voagent.New( + p.(kd.P).A(), + opt.O{ + Weight: opt.WeightEqual, + VOpt: opt.VOptV, + }, + ).ORCA(a, tau), + ), + true, + ), + ) } for _, r := range rs { // TODO(minkezhang): Support multi-segment region ORCA. @@ -111,9 +118,13 @@ func step(a agent.A, t *kd.T, rs []region.R, f func(a agent.A) bool, tau float64 } // TODO(minkezhang): Add to immutable constraints instead, as // lines are immovable. - cs = append(cs, constraint.C( - wall.New(r.R()[0]).ORCA(a, tau), - )) + cs = append( + cs, + *constraint.New( + c2d.C(wall.New(r.R()[0]).ORCA(a, tau)), + false, + ), + ) } return Mutation{ From a46259d81dac72b7613fe583c6e82cb9c986a589 Mon Sep 17 00:00:00 2001 From: Minke Zhang Date: Sun, 15 May 2022 02:37:47 -0700 Subject: [PATCH 02/11] Minor tweaks to ORCA to ensure immutable constraints are generated first --- internal/solver/3d/solver.go | 7 +++---- orca/orca.go | 31 ++++++++++++++++--------------- 2 files changed, 19 insertions(+), 19 deletions(-) diff --git a/internal/solver/3d/solver.go b/internal/solver/3d/solver.go index f82553f..cdeb37e 100644 --- a/internal/solver/3d/solver.go +++ b/internal/solver/3d/solver.go @@ -81,6 +81,7 @@ import ( "github.com/downflux/go-geometry/2d/hyperplane" "github.com/downflux/go-geometry/2d/segment" "github.com/downflux/go-geometry/2d/vector" + "github.com/downflux/go-geometry/epsilon" "github.com/downflux/go-orca/internal/geometry/2d/constraint" "github.com/downflux/go-orca/internal/solver/2d" @@ -97,9 +98,7 @@ type M interface { V(v vector.V) vector.V } -type Unbounded struct { - solver.Unbounded -} +type Unbounded solver.Unbounded func (Unbounded) V(v vector.V) vector.V { return v } @@ -275,7 +274,7 @@ func Solve(m M, cs []constraint.C, v vector.V) vector.V { // to find a new minimum. Note that this new value of the slack // will exceed the old distance as well -- but it may be smaller // than the current solution we have found. - if !c.In(v) && l.Distance(v) > dist { + if d := l.Distance(v); !c.In(v) && (d > dist || epsilon.Within(d, dist)) { // In the case r.Solve() returns infeasible due to a // rounding error, we ignore the result and continue. if u, ok := r.Solve(c); ok { diff --git a/orca/orca.go b/orca/orca.go index 0acec07..4c75322 100644 --- a/orca/orca.go +++ b/orca/orca.go @@ -94,6 +94,22 @@ func step(a agent.A, t *kd.T, rs []region.R, f func(a agent.A) bool, tau float64 } cs := make([]constraint.C, 0, len(ps)) + for _, r := range rs { + // TODO(minkezhang): Support multi-segment region ORCA. + if len(r.R()) != 1 { + panic("UnimplementedError: cannot construct ORCA line for a region not of cardinality 1") + } + // TODO(minkezhang): Add to immutable constraints instead, as + // lines are immovable. + cs = append( + cs, + *constraint.New( + c2d.C(wall.New(r.R()[0]).ORCA(a, tau)), + false, + ), + ) + } + for _, p := range ps { cs = append( cs, @@ -111,21 +127,6 @@ func step(a agent.A, t *kd.T, rs []region.R, f func(a agent.A) bool, tau float64 ), ) } - for _, r := range rs { - // TODO(minkezhang): Support multi-segment region ORCA. - if len(r.R()) != 1 { - panic("UnimplementedError: cannot construct ORCA line for a region not of cardinality 1") - } - // TODO(minkezhang): Add to immutable constraints instead, as - // lines are immovable. - cs = append( - cs, - *constraint.New( - c2d.C(wall.New(r.R()[0]).ORCA(a, tau)), - false, - ), - ) - } return Mutation{ A: a, From e7abaee78f6bade19b882a59ff15e745499129d3 Mon Sep 17 00:00:00 2001 From: Minke Zhang Date: Sun, 15 May 2022 11:37:52 -0700 Subject: [PATCH 03/11] Ensure 3D LP solver also returns infeasibility status --- internal/solver/3d/solver.go | 8 +++----- internal/solver/solver.go | 6 ++++-- 2 files changed, 7 insertions(+), 7 deletions(-) diff --git a/internal/solver/3d/solver.go b/internal/solver/3d/solver.go index cdeb37e..c9f3df3 100644 --- a/internal/solver/3d/solver.go +++ b/internal/solver/3d/solver.go @@ -244,11 +244,9 @@ func (r *region) project(c constraint.C) ([]constraint.C, bool) { // // N.B: This is not a general-purpose 3D linear programming solver. Both the // bounding constraints M and input constraints are 2D-specific. -// -// TODO(minkezhang): Return feasibility bool as well. -func Solve(m M, cs []constraint.C, v vector.V) vector.V { +func Solve(m M, cs []constraint.C, v vector.V) (vector.V, bool) { if !m.Within(v) { - return vector.V{} + return vector.V{}, false } // dist is the current penetration distance into the infeasible region @@ -285,5 +283,5 @@ func Solve(m M, cs []constraint.C, v vector.V) vector.V { r.Append(c) dist = l.Distance(v) } - return v + return v, true } diff --git a/internal/solver/solver.go b/internal/solver/solver.go index 579bccd..766946d 100644 --- a/internal/solver/solver.go +++ b/internal/solver/solver.go @@ -54,9 +54,11 @@ func Solve(cs []constraint.C, v vector.V, r float64) vector.V { }, v, ) - if !ok { - res = s3d.Solve(m, cs, v) + res, ok = s3d.Solve(m, cs, v) + } + if !ok { + panic("cannot solve linear programming problem for the given set of ORCA lines") } return res From 61a73a2ee36149835006fc648289dd850fec5998 Mon Sep 17 00:00:00 2001 From: Minke Zhang Date: Sun, 15 May 2022 13:02:51 -0700 Subject: [PATCH 04/11] Fix 3D LP projected constraints to be mutable --- internal/solver/3d/solver.go | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/internal/solver/3d/solver.go b/internal/solver/3d/solver.go index c9f3df3..19c7abb 100644 --- a/internal/solver/3d/solver.go +++ b/internal/solver/3d/solver.go @@ -135,7 +135,7 @@ func (r *region) Solve(c constraint.C) (vector.V, bool) { // As in hyperplane.Line, we are defining the normal of a line // to be pointing into the feasible region of hyperplane, which // is defined as a vector rotated anti-clockwise to the line direction. - c := *constraint.New(*c2d.New(s.L().P(), s.L().N()), false) + c := *constraint.New(*c2d.New(s.L().P(), s.L().N()), true) // Find a t-value in the projected constraints which will // minimizes the distance along the Z-axis to the target vector. @@ -204,7 +204,7 @@ func (r *region) project(c constraint.C) ([]constraint.C, bool) { vector.Scale(0.5, vector.Add(l.P(), m.P())), hyperplane.HP(c.C()).N(), ), - false, + true, ) } else { // Just as in the 2D case, we do not consider there to be a From 899160e0047e96e800b470fde3d629f7be5462db Mon Sep 17 00:00:00 2001 From: Minke Zhang Date: Sun, 15 May 2022 14:23:37 -0700 Subject: [PATCH 05/11] Fix 3D LP not returning feasible results by ensuring LP parses "best effort" intermediate results --- internal/solver/2d/solver.go | 10 +++++----- internal/solver/3d/solver.go | 8 ++++++++ internal/solver/solver.go | 19 +++++++------------ 3 files changed, 20 insertions(+), 17 deletions(-) diff --git a/internal/solver/2d/solver.go b/internal/solver/2d/solver.go index 5f05ecc..4f00d73 100644 --- a/internal/solver/2d/solver.go +++ b/internal/solver/2d/solver.go @@ -212,7 +212,7 @@ func (r *region) intersect(c constraint.C) (segment.S, bool) { // Berg. func Solve(m M, cs []constraint.C, o O, v vector.V) (vector.V, bool) { if !m.Within(v) { - return vector.V{}, false + return *vector.New(0, 0), false // vector.V{}, false } r := ®ion{ @@ -221,11 +221,11 @@ func Solve(m M, cs []constraint.C, o O, v vector.V) (vector.V, bool) { constraints: make([]constraint.C, 0, len(cs)), } for _, c := range cs { - var ok bool - if !c.In(v) { - if v, ok = r.Solve(c); !ok { - return vector.V{}, false + if tmp, ok := r.Solve(c); !ok { + return v, false + } else { + v = tmp } } diff --git a/internal/solver/3d/solver.go b/internal/solver/3d/solver.go index 19c7abb..966119f 100644 --- a/internal/solver/3d/solver.go +++ b/internal/solver/3d/solver.go @@ -159,6 +159,10 @@ func (r *region) Solve(c constraint.C) (vector.V, bool) { // project reduces the current 3D constraint problem into a projected 2D // constraint problem. func (r *region) project(c constraint.C) ([]constraint.C, bool) { + if !c.Mutable() { + return nil, true + } + if !r.Feasible() { return nil, r.Feasible() } @@ -166,6 +170,10 @@ func (r *region) project(c constraint.C) ([]constraint.C, bool) { pcs := make([]constraint.C, 0, len(r.constraints)) for _, d := range r.constraints { + if !d.Mutable() { + pcs = append(pcs, d) + continue + } // project takes as input two 2D linear constraints and returns // a new constraint which represents the line of intersection of // the two input constraints in 3D space. See package diff --git a/internal/solver/solver.go b/internal/solver/solver.go index 766946d..29c7792 100644 --- a/internal/solver/solver.go +++ b/internal/solver/solver.go @@ -19,9 +19,9 @@ import ( // Adding a noise function here to the output will randomize the path of the // agent a bit, e.g. // -// weight := 1e-3 -// dt := rand.Float64() * (s.TMax() - s.TMin()) * weight -// v := s.L().L(s.T(v) + dt) +// weight := 1e-3 +// dt := rand.Float64() * (s.TMax() - s.TMin()) * weight +// v := s.L().L(s.T(v) + dt) // // This will help with the case where two slow-moving agents become stuck while // trying to move directly past each other (i.e. agent targets are directly @@ -46,16 +46,11 @@ func Solve(cs []constraint.C, v vector.V, r float64) vector.V { v = m.V(v) } - res, ok := s2d.Solve( - m, - cs, - func(s segment.S) vector.V { - return project(s, v) - }, - v, - ) + res, ok := s2d.Solve(m, cs, func(s segment.S) vector.V { + return project(s, v) + }, v) if !ok { - res, ok = s3d.Solve(m, cs, v) + res, ok = s3d.Solve(m, cs, res) } if !ok { panic("cannot solve linear programming problem for the given set of ORCA lines") From 6355690e50a3bd581d7e676b332481b6600536b5 Mon Sep 17 00:00:00 2001 From: Minke Zhang Date: Sun, 15 May 2022 14:24:24 -0700 Subject: [PATCH 06/11] Update animation demo --- examples/output/animation.gif | Bin 10939556 -> 10236179 bytes 1 file changed, 0 insertions(+), 0 deletions(-) diff --git a/examples/output/animation.gif b/examples/output/animation.gif index 7f94220abf5a8dbbe86f87ca5d9489e65795c6d1..a4d72b7f21ce5d9651ec7d1ced776bef6e17d3d9 100644 GIT binary patch literal 10236179 zcmd?wRZJXC_&0i5TC`Xx#i7vR+Tt!P#ic@VC{WyrFIrp{_k~^DVR7GOabH{)cXx{0 zzWtq(oO5xKlYjDFz86n2nVHK;X7YKyBd_>bSj3q5Df3ed3=9S|zM9gE~7e@mSI3gf?R0cbS(-|+vbwzjtamM}0d(KxV$N8SO&QiSmS5FGuJHTsuT zhGj{)?S9K|&Jh>8WkC6{_c6LH>$d_YRZL%=Q@^cf=4g?NQkiZA3hIVD^lV+J1gLO> zM|NsGhwS0YCym}}74yf}&AubYcW6KVfWV;OkkGJjU_@k8bWChqd_rPUatbIl4Gc-o 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