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-rw-r--r--vendor/github.com/golang/geo/r1/interval.go177
1 files changed, 0 insertions, 177 deletions
diff --git a/vendor/github.com/golang/geo/r1/interval.go b/vendor/github.com/golang/geo/r1/interval.go
deleted file mode 100644
index 48ea51982..000000000
--- a/vendor/github.com/golang/geo/r1/interval.go
+++ /dev/null
@@ -1,177 +0,0 @@
-// Copyright 2014 Google Inc. All rights reserved.
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-// http://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-package r1
-
-import (
- "fmt"
- "math"
-)
-
-// Interval represents a closed interval on ℝ.
-// Zero-length intervals (where Lo == Hi) represent single points.
-// If Lo > Hi then the interval is empty.
-type Interval struct {
- Lo, Hi float64
-}
-
-// EmptyInterval returns an empty interval.
-func EmptyInterval() Interval { return Interval{1, 0} }
-
-// IntervalFromPoint returns an interval representing a single point.
-func IntervalFromPoint(p float64) Interval { return Interval{p, p} }
-
-// IsEmpty reports whether the interval is empty.
-func (i Interval) IsEmpty() bool { return i.Lo > i.Hi }
-
-// Equal returns true iff the interval contains the same points as oi.
-func (i Interval) Equal(oi Interval) bool {
- return i == oi || i.IsEmpty() && oi.IsEmpty()
-}
-
-// Center returns the midpoint of the interval.
-// It is undefined for empty intervals.
-func (i Interval) Center() float64 { return 0.5 * (i.Lo + i.Hi) }
-
-// Length returns the length of the interval.
-// The length of an empty interval is negative.
-func (i Interval) Length() float64 { return i.Hi - i.Lo }
-
-// Contains returns true iff the interval contains p.
-func (i Interval) Contains(p float64) bool { return i.Lo <= p && p <= i.Hi }
-
-// ContainsInterval returns true iff the interval contains oi.
-func (i Interval) ContainsInterval(oi Interval) bool {
- if oi.IsEmpty() {
- return true
- }
- return i.Lo <= oi.Lo && oi.Hi <= i.Hi
-}
-
-// InteriorContains returns true iff the interval strictly contains p.
-func (i Interval) InteriorContains(p float64) bool {
- return i.Lo < p && p < i.Hi
-}
-
-// InteriorContainsInterval returns true iff the interval strictly contains oi.
-func (i Interval) InteriorContainsInterval(oi Interval) bool {
- if oi.IsEmpty() {
- return true
- }
- return i.Lo < oi.Lo && oi.Hi < i.Hi
-}
-
-// Intersects returns true iff the interval contains any points in common with oi.
-func (i Interval) Intersects(oi Interval) bool {
- if i.Lo <= oi.Lo {
- return oi.Lo <= i.Hi && oi.Lo <= oi.Hi // oi.Lo ∈ i and oi is not empty
- }
- return i.Lo <= oi.Hi && i.Lo <= i.Hi // i.Lo ∈ oi and i is not empty
-}
-
-// InteriorIntersects returns true iff the interior of the interval contains any points in common with oi, including the latter's boundary.
-func (i Interval) InteriorIntersects(oi Interval) bool {
- return oi.Lo < i.Hi && i.Lo < oi.Hi && i.Lo < i.Hi && oi.Lo <= oi.Hi
-}
-
-// Intersection returns the interval containing all points common to i and j.
-func (i Interval) Intersection(j Interval) Interval {
- // Empty intervals do not need to be special-cased.
- return Interval{
- Lo: math.Max(i.Lo, j.Lo),
- Hi: math.Min(i.Hi, j.Hi),
- }
-}
-
-// AddPoint returns the interval expanded so that it contains the given point.
-func (i Interval) AddPoint(p float64) Interval {
- if i.IsEmpty() {
- return Interval{p, p}
- }
- if p < i.Lo {
- return Interval{p, i.Hi}
- }
- if p > i.Hi {
- return Interval{i.Lo, p}
- }
- return i
-}
-
-// ClampPoint returns the closest point in the interval to the given point "p".
-// The interval must be non-empty.
-func (i Interval) ClampPoint(p float64) float64 {
- return math.Max(i.Lo, math.Min(i.Hi, p))
-}
-
-// Expanded returns an interval that has been expanded on each side by margin.
-// If margin is negative, then the function shrinks the interval on
-// each side by margin instead. The resulting interval may be empty. Any
-// expansion of an empty interval remains empty.
-func (i Interval) Expanded(margin float64) Interval {
- if i.IsEmpty() {
- return i
- }
- return Interval{i.Lo - margin, i.Hi + margin}
-}
-
-// Union returns the smallest interval that contains this interval and the given interval.
-func (i Interval) Union(other Interval) Interval {
- if i.IsEmpty() {
- return other
- }
- if other.IsEmpty() {
- return i
- }
- return Interval{math.Min(i.Lo, other.Lo), math.Max(i.Hi, other.Hi)}
-}
-
-func (i Interval) String() string { return fmt.Sprintf("[%.7f, %.7f]", i.Lo, i.Hi) }
-
-const (
- // epsilon is a small number that represents a reasonable level of noise between two
- // values that can be considered to be equal.
- epsilon = 1e-15
- // dblEpsilon is a smaller number for values that require more precision.
- // This is the C++ DBL_EPSILON equivalent.
- dblEpsilon = 2.220446049250313e-16
-)
-
-// ApproxEqual reports whether the interval can be transformed into the
-// given interval by moving each endpoint a small distance.
-// The empty interval is considered to be positioned arbitrarily on the
-// real line, so any interval with a small enough length will match
-// the empty interval.
-func (i Interval) ApproxEqual(other Interval) bool {
- if i.IsEmpty() {
- return other.Length() <= 2*epsilon
- }
- if other.IsEmpty() {
- return i.Length() <= 2*epsilon
- }
- return math.Abs(other.Lo-i.Lo) <= epsilon &&
- math.Abs(other.Hi-i.Hi) <= epsilon
-}
-
-// DirectedHausdorffDistance returns the Hausdorff distance to the given interval. For two
-// intervals x and y, this distance is defined as
-// h(x, y) = max_{p in x} min_{q in y} d(p, q).
-func (i Interval) DirectedHausdorffDistance(other Interval) float64 {
- if i.IsEmpty() {
- return 0
- }
- if other.IsEmpty() {
- return math.Inf(1)
- }
- return math.Max(0, math.Max(i.Hi-other.Hi, other.Lo-i.Lo))
-}