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	Grand test fixup (#138)
* start fixing up tests * fix up tests + automate with drone * fiddle with linting * messing about with drone.yml * some more fiddling * hmmm * add cache * add vendor directory * verbose * ci updates * update some little things * update sig
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								vendor/github.com/golang/geo/r1/doc.go
									
										
									
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							|  | @ -0,0 +1,20 @@ | |||
| // 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 implements types and functions for working with geometry in ℝ¹. | ||||
| 
 | ||||
| See ../s2 for a more detailed overview. | ||||
| */ | ||||
| package r1 | ||||
							
								
								
									
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								vendor/github.com/golang/geo/r1/interval.go
									
										
									
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							|  | @ -0,0 +1,177 @@ | |||
| // 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)) | ||||
| } | ||||
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