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Diffstat (limited to 'vendor/github.com/golang/geo/r1/interval.go')
-rw-r--r-- | vendor/github.com/golang/geo/r1/interval.go | 177 |
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)) -} |