mirror of
https://github.com/superseriousbusiness/gotosocial
synced 2025-06-05 21:59:39 +02:00
[feature] support processing of (many) more media types (#3090)
* initial work replacing our media decoding / encoding pipeline with ffprobe + ffmpeg * specify the video codec to use when generating static image from emoji * update go-storage library (fixes incompatibility after updating go-iotools) * maintain image aspect ratio when generating a thumbnail for it * update readme to show go-ffmpreg * fix a bunch of media tests, move filesize checking to callers of media manager for more flexibility * remove extra debug from error message * fix up incorrect function signatures * update PutFile to just use regular file copy, as changes are file is on separate partition * fix remaining tests, remove some unneeded tests now we're working with ffmpeg/ffprobe * update more tests, add more code comments * add utilities to generate processed emoji / media outputs * fix remaining tests * add test for opus media file, add license header to utility cmds * limit the number of concurrently available ffmpeg / ffprobe instances * reduce number of instances * further reduce number of instances * fix envparsing test with configuration variables * update docs and configuration with new media-{local,remote}-max-size variables
This commit is contained in:
408
vendor/github.com/golang/geo/s2/edge_distances.go
generated
vendored
408
vendor/github.com/golang/geo/s2/edge_distances.go
generated
vendored
@ -1,408 +0,0 @@
|
||||
// Copyright 2017 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 s2
|
||||
|
||||
// This file defines a collection of methods for computing the distance to an edge,
|
||||
// interpolating along an edge, projecting points onto edges, etc.
|
||||
|
||||
import (
|
||||
"math"
|
||||
|
||||
"github.com/golang/geo/s1"
|
||||
)
|
||||
|
||||
// DistanceFromSegment returns the distance of point X from line segment AB.
|
||||
// The points are expected to be normalized. The result is very accurate for small
|
||||
// distances but may have some numerical error if the distance is large
|
||||
// (approximately pi/2 or greater). The case A == B is handled correctly.
|
||||
func DistanceFromSegment(x, a, b Point) s1.Angle {
|
||||
var minDist s1.ChordAngle
|
||||
minDist, _ = updateMinDistance(x, a, b, minDist, true)
|
||||
return minDist.Angle()
|
||||
}
|
||||
|
||||
// IsDistanceLess reports whether the distance from X to the edge AB is less
|
||||
// than limit. (For less than or equal to, specify limit.Successor()).
|
||||
// This method is faster than DistanceFromSegment(). If you want to
|
||||
// compare against a fixed s1.Angle, you should convert it to an s1.ChordAngle
|
||||
// once and save the value, since this conversion is relatively expensive.
|
||||
func IsDistanceLess(x, a, b Point, limit s1.ChordAngle) bool {
|
||||
_, less := UpdateMinDistance(x, a, b, limit)
|
||||
return less
|
||||
}
|
||||
|
||||
// UpdateMinDistance checks if the distance from X to the edge AB is less
|
||||
// than minDist, and if so, returns the updated value and true.
|
||||
// The case A == B is handled correctly.
|
||||
//
|
||||
// Use this method when you want to compute many distances and keep track of
|
||||
// the minimum. It is significantly faster than using DistanceFromSegment
|
||||
// because (1) using s1.ChordAngle is much faster than s1.Angle, and (2) it
|
||||
// can save a lot of work by not actually computing the distance when it is
|
||||
// obviously larger than the current minimum.
|
||||
func UpdateMinDistance(x, a, b Point, minDist s1.ChordAngle) (s1.ChordAngle, bool) {
|
||||
return updateMinDistance(x, a, b, minDist, false)
|
||||
}
|
||||
|
||||
// UpdateMaxDistance checks if the distance from X to the edge AB is greater
|
||||
// than maxDist, and if so, returns the updated value and true.
|
||||
// Otherwise it returns false. The case A == B is handled correctly.
|
||||
func UpdateMaxDistance(x, a, b Point, maxDist s1.ChordAngle) (s1.ChordAngle, bool) {
|
||||
dist := maxChordAngle(ChordAngleBetweenPoints(x, a), ChordAngleBetweenPoints(x, b))
|
||||
if dist > s1.RightChordAngle {
|
||||
dist, _ = updateMinDistance(Point{x.Mul(-1)}, a, b, dist, true)
|
||||
dist = s1.StraightChordAngle - dist
|
||||
}
|
||||
if maxDist < dist {
|
||||
return dist, true
|
||||
}
|
||||
|
||||
return maxDist, false
|
||||
}
|
||||
|
||||
// IsInteriorDistanceLess reports whether the minimum distance from X to the edge
|
||||
// AB is attained at an interior point of AB (i.e., not an endpoint), and that
|
||||
// distance is less than limit. (Specify limit.Successor() for less than or equal to).
|
||||
func IsInteriorDistanceLess(x, a, b Point, limit s1.ChordAngle) bool {
|
||||
_, less := UpdateMinInteriorDistance(x, a, b, limit)
|
||||
return less
|
||||
}
|
||||
|
||||
// UpdateMinInteriorDistance reports whether the minimum distance from X to AB
|
||||
// is attained at an interior point of AB (i.e., not an endpoint), and that distance
|
||||
// is less than minDist. If so, the value of minDist is updated and true is returned.
|
||||
// Otherwise it is unchanged and returns false.
|
||||
func UpdateMinInteriorDistance(x, a, b Point, minDist s1.ChordAngle) (s1.ChordAngle, bool) {
|
||||
return interiorDist(x, a, b, minDist, false)
|
||||
}
|
||||
|
||||
// Project returns the point along the edge AB that is closest to the point X.
|
||||
// The fractional distance of this point along the edge AB can be obtained
|
||||
// using DistanceFraction.
|
||||
//
|
||||
// This requires that all points are unit length.
|
||||
func Project(x, a, b Point) Point {
|
||||
aXb := a.PointCross(b)
|
||||
// Find the closest point to X along the great circle through AB.
|
||||
p := x.Sub(aXb.Mul(x.Dot(aXb.Vector) / aXb.Vector.Norm2()))
|
||||
|
||||
// If this point is on the edge AB, then it's the closest point.
|
||||
if Sign(aXb, a, Point{p}) && Sign(Point{p}, b, aXb) {
|
||||
return Point{p.Normalize()}
|
||||
}
|
||||
|
||||
// Otherwise, the closest point is either A or B.
|
||||
if x.Sub(a.Vector).Norm2() <= x.Sub(b.Vector).Norm2() {
|
||||
return a
|
||||
}
|
||||
return b
|
||||
}
|
||||
|
||||
// DistanceFraction returns the distance ratio of the point X along an edge AB.
|
||||
// If X is on the line segment AB, this is the fraction T such
|
||||
// that X == Interpolate(T, A, B).
|
||||
//
|
||||
// This requires that A and B are distinct.
|
||||
func DistanceFraction(x, a, b Point) float64 {
|
||||
d0 := x.Angle(a.Vector)
|
||||
d1 := x.Angle(b.Vector)
|
||||
return float64(d0 / (d0 + d1))
|
||||
}
|
||||
|
||||
// Interpolate returns the point X along the line segment AB whose distance from A
|
||||
// is the given fraction "t" of the distance AB. Does NOT require that "t" be
|
||||
// between 0 and 1. Note that all distances are measured on the surface of
|
||||
// the sphere, so this is more complicated than just computing (1-t)*a + t*b
|
||||
// and normalizing the result.
|
||||
func Interpolate(t float64, a, b Point) Point {
|
||||
if t == 0 {
|
||||
return a
|
||||
}
|
||||
if t == 1 {
|
||||
return b
|
||||
}
|
||||
ab := a.Angle(b.Vector)
|
||||
return InterpolateAtDistance(s1.Angle(t)*ab, a, b)
|
||||
}
|
||||
|
||||
// InterpolateAtDistance returns the point X along the line segment AB whose
|
||||
// distance from A is the angle ax.
|
||||
func InterpolateAtDistance(ax s1.Angle, a, b Point) Point {
|
||||
aRad := ax.Radians()
|
||||
|
||||
// Use PointCross to compute the tangent vector at A towards B. The
|
||||
// result is always perpendicular to A, even if A=B or A=-B, but it is not
|
||||
// necessarily unit length. (We effectively normalize it below.)
|
||||
normal := a.PointCross(b)
|
||||
tangent := normal.Vector.Cross(a.Vector)
|
||||
|
||||
// Now compute the appropriate linear combination of A and "tangent". With
|
||||
// infinite precision the result would always be unit length, but we
|
||||
// normalize it anyway to ensure that the error is within acceptable bounds.
|
||||
// (Otherwise errors can build up when the result of one interpolation is
|
||||
// fed into another interpolation.)
|
||||
return Point{(a.Mul(math.Cos(aRad)).Add(tangent.Mul(math.Sin(aRad) / tangent.Norm()))).Normalize()}
|
||||
}
|
||||
|
||||
// minUpdateDistanceMaxError returns the maximum error in the result of
|
||||
// UpdateMinDistance (and the associated functions such as
|
||||
// UpdateMinInteriorDistance, IsDistanceLess, etc), assuming that all
|
||||
// input points are normalized to within the bounds guaranteed by r3.Vector's
|
||||
// Normalize. The error can be added or subtracted from an s1.ChordAngle
|
||||
// using its Expanded method.
|
||||
func minUpdateDistanceMaxError(dist s1.ChordAngle) float64 {
|
||||
// There are two cases for the maximum error in UpdateMinDistance(),
|
||||
// depending on whether the closest point is interior to the edge.
|
||||
return math.Max(minUpdateInteriorDistanceMaxError(dist), dist.MaxPointError())
|
||||
}
|
||||
|
||||
// minUpdateInteriorDistanceMaxError returns the maximum error in the result of
|
||||
// UpdateMinInteriorDistance, assuming that all input points are normalized
|
||||
// to within the bounds guaranteed by Point's Normalize. The error can be added
|
||||
// or subtracted from an s1.ChordAngle using its Expanded method.
|
||||
//
|
||||
// Note that accuracy goes down as the distance approaches 0 degrees or 180
|
||||
// degrees (for different reasons). Near 0 degrees the error is acceptable
|
||||
// for all practical purposes (about 1.2e-15 radians ~= 8 nanometers). For
|
||||
// exactly antipodal points the maximum error is quite high (0.5 meters),
|
||||
// but this error drops rapidly as the points move away from antipodality
|
||||
// (approximately 1 millimeter for points that are 50 meters from antipodal,
|
||||
// and 1 micrometer for points that are 50km from antipodal).
|
||||
//
|
||||
// TODO(roberts): Currently the error bound does not hold for edges whose endpoints
|
||||
// are antipodal to within about 1e-15 radians (less than 1 micron). This could
|
||||
// be fixed by extending PointCross to use higher precision when necessary.
|
||||
func minUpdateInteriorDistanceMaxError(dist s1.ChordAngle) float64 {
|
||||
// If a point is more than 90 degrees from an edge, then the minimum
|
||||
// distance is always to one of the endpoints, not to the edge interior.
|
||||
if dist >= s1.RightChordAngle {
|
||||
return 0.0
|
||||
}
|
||||
|
||||
// This bound includes all source of error, assuming that the input points
|
||||
// are normalized. a and b are components of chord length that are
|
||||
// perpendicular and parallel to a plane containing the edge respectively.
|
||||
b := math.Min(1.0, 0.5*float64(dist))
|
||||
a := math.Sqrt(b * (2 - b))
|
||||
return ((2.5+2*math.Sqrt(3)+8.5*a)*a +
|
||||
(2+2*math.Sqrt(3)/3+6.5*(1-b))*b +
|
||||
(23+16/math.Sqrt(3))*dblEpsilon) * dblEpsilon
|
||||
}
|
||||
|
||||
// updateMinDistance computes the distance from a point X to a line segment AB,
|
||||
// and if either the distance was less than the given minDist, or alwaysUpdate is
|
||||
// true, the value and whether it was updated are returned.
|
||||
func updateMinDistance(x, a, b Point, minDist s1.ChordAngle, alwaysUpdate bool) (s1.ChordAngle, bool) {
|
||||
if d, ok := interiorDist(x, a, b, minDist, alwaysUpdate); ok {
|
||||
// Minimum distance is attained along the edge interior.
|
||||
return d, true
|
||||
}
|
||||
|
||||
// Otherwise the minimum distance is to one of the endpoints.
|
||||
xa2, xb2 := (x.Sub(a.Vector)).Norm2(), x.Sub(b.Vector).Norm2()
|
||||
dist := s1.ChordAngle(math.Min(xa2, xb2))
|
||||
if !alwaysUpdate && dist >= minDist {
|
||||
return minDist, false
|
||||
}
|
||||
return dist, true
|
||||
}
|
||||
|
||||
// interiorDist returns the shortest distance from point x to edge ab, assuming
|
||||
// that the closest point to X is interior to AB. If the closest point is not
|
||||
// interior to AB, interiorDist returns (minDist, false). If alwaysUpdate is set to
|
||||
// false, the distance is only updated when the value exceeds certain the given minDist.
|
||||
func interiorDist(x, a, b Point, minDist s1.ChordAngle, alwaysUpdate bool) (s1.ChordAngle, bool) {
|
||||
// Chord distance of x to both end points a and b.
|
||||
xa2, xb2 := (x.Sub(a.Vector)).Norm2(), x.Sub(b.Vector).Norm2()
|
||||
|
||||
// The closest point on AB could either be one of the two vertices (the
|
||||
// vertex case) or in the interior (the interior case). Let C = A x B.
|
||||
// If X is in the spherical wedge extending from A to B around the axis
|
||||
// through C, then we are in the interior case. Otherwise we are in the
|
||||
// vertex case.
|
||||
//
|
||||
// Check whether we might be in the interior case. For this to be true, XAB
|
||||
// and XBA must both be acute angles. Checking this condition exactly is
|
||||
// expensive, so instead we consider the planar triangle ABX (which passes
|
||||
// through the sphere's interior). The planar angles XAB and XBA are always
|
||||
// less than the corresponding spherical angles, so if we are in the
|
||||
// interior case then both of these angles must be acute.
|
||||
//
|
||||
// We check this by computing the squared edge lengths of the planar
|
||||
// triangle ABX, and testing whether angles XAB and XBA are both acute using
|
||||
// the law of cosines:
|
||||
//
|
||||
// | XA^2 - XB^2 | < AB^2 (*)
|
||||
//
|
||||
// This test must be done conservatively (taking numerical errors into
|
||||
// account) since otherwise we might miss a situation where the true minimum
|
||||
// distance is achieved by a point on the edge interior.
|
||||
//
|
||||
// There are two sources of error in the expression above (*). The first is
|
||||
// that points are not normalized exactly; they are only guaranteed to be
|
||||
// within 2 * dblEpsilon of unit length. Under the assumption that the two
|
||||
// sides of (*) are nearly equal, the total error due to normalization errors
|
||||
// can be shown to be at most
|
||||
//
|
||||
// 2 * dblEpsilon * (XA^2 + XB^2 + AB^2) + 8 * dblEpsilon ^ 2 .
|
||||
//
|
||||
// The other source of error is rounding of results in the calculation of (*).
|
||||
// Each of XA^2, XB^2, AB^2 has a maximum relative error of 2.5 * dblEpsilon,
|
||||
// plus an additional relative error of 0.5 * dblEpsilon in the final
|
||||
// subtraction which we further bound as 0.25 * dblEpsilon * (XA^2 + XB^2 +
|
||||
// AB^2) for convenience. This yields a final error bound of
|
||||
//
|
||||
// 4.75 * dblEpsilon * (XA^2 + XB^2 + AB^2) + 8 * dblEpsilon ^ 2 .
|
||||
ab2 := a.Sub(b.Vector).Norm2()
|
||||
maxError := (4.75*dblEpsilon*(xa2+xb2+ab2) + 8*dblEpsilon*dblEpsilon)
|
||||
if math.Abs(xa2-xb2) >= ab2+maxError {
|
||||
return minDist, false
|
||||
}
|
||||
|
||||
// The minimum distance might be to a point on the edge interior. Let R
|
||||
// be closest point to X that lies on the great circle through AB. Rather
|
||||
// than computing the geodesic distance along the surface of the sphere,
|
||||
// instead we compute the "chord length" through the sphere's interior.
|
||||
//
|
||||
// The squared chord length XR^2 can be expressed as XQ^2 + QR^2, where Q
|
||||
// is the point X projected onto the plane through the great circle AB.
|
||||
// The distance XQ^2 can be written as (X.C)^2 / |C|^2 where C = A x B.
|
||||
// We ignore the QR^2 term and instead use XQ^2 as a lower bound, since it
|
||||
// is faster and the corresponding distance on the Earth's surface is
|
||||
// accurate to within 1% for distances up to about 1800km.
|
||||
c := a.PointCross(b)
|
||||
c2 := c.Norm2()
|
||||
xDotC := x.Dot(c.Vector)
|
||||
xDotC2 := xDotC * xDotC
|
||||
if !alwaysUpdate && xDotC2 > c2*float64(minDist) {
|
||||
// The closest point on the great circle AB is too far away. We need to
|
||||
// test this using ">" rather than ">=" because the actual minimum bound
|
||||
// on the distance is (xDotC2 / c2), which can be rounded differently
|
||||
// than the (more efficient) multiplicative test above.
|
||||
return minDist, false
|
||||
}
|
||||
|
||||
// Otherwise we do the exact, more expensive test for the interior case.
|
||||
// This test is very likely to succeed because of the conservative planar
|
||||
// test we did initially.
|
||||
//
|
||||
// TODO(roberts): Ensure that the errors in test are accurately reflected in the
|
||||
// minUpdateInteriorDistanceMaxError.
|
||||
cx := c.Cross(x.Vector)
|
||||
if a.Sub(x.Vector).Dot(cx) >= 0 || b.Sub(x.Vector).Dot(cx) <= 0 {
|
||||
return minDist, false
|
||||
}
|
||||
|
||||
// Compute the squared chord length XR^2 = XQ^2 + QR^2 (see above).
|
||||
// This calculation has good accuracy for all chord lengths since it
|
||||
// is based on both the dot product and cross product (rather than
|
||||
// deriving one from the other). However, note that the chord length
|
||||
// representation itself loses accuracy as the angle approaches π.
|
||||
qr := 1 - math.Sqrt(cx.Norm2()/c2)
|
||||
dist := s1.ChordAngle((xDotC2 / c2) + (qr * qr))
|
||||
|
||||
if !alwaysUpdate && dist >= minDist {
|
||||
return minDist, false
|
||||
}
|
||||
|
||||
return dist, true
|
||||
}
|
||||
|
||||
// updateEdgePairMinDistance computes the minimum distance between the given
|
||||
// pair of edges. If the two edges cross, the distance is zero. The cases
|
||||
// a0 == a1 and b0 == b1 are handled correctly.
|
||||
func updateEdgePairMinDistance(a0, a1, b0, b1 Point, minDist s1.ChordAngle) (s1.ChordAngle, bool) {
|
||||
if minDist == 0 {
|
||||
return 0, false
|
||||
}
|
||||
if CrossingSign(a0, a1, b0, b1) == Cross {
|
||||
minDist = 0
|
||||
return 0, true
|
||||
}
|
||||
|
||||
// Otherwise, the minimum distance is achieved at an endpoint of at least
|
||||
// one of the two edges. We ensure that all four possibilities are always checked.
|
||||
//
|
||||
// The calculation below computes each of the six vertex-vertex distances
|
||||
// twice (this could be optimized).
|
||||
var ok1, ok2, ok3, ok4 bool
|
||||
minDist, ok1 = UpdateMinDistance(a0, b0, b1, minDist)
|
||||
minDist, ok2 = UpdateMinDistance(a1, b0, b1, minDist)
|
||||
minDist, ok3 = UpdateMinDistance(b0, a0, a1, minDist)
|
||||
minDist, ok4 = UpdateMinDistance(b1, a0, a1, minDist)
|
||||
return minDist, ok1 || ok2 || ok3 || ok4
|
||||
}
|
||||
|
||||
// updateEdgePairMaxDistance reports the minimum distance between the given pair of edges.
|
||||
// If one edge crosses the antipodal reflection of the other, the distance is pi.
|
||||
func updateEdgePairMaxDistance(a0, a1, b0, b1 Point, maxDist s1.ChordAngle) (s1.ChordAngle, bool) {
|
||||
if maxDist == s1.StraightChordAngle {
|
||||
return s1.StraightChordAngle, false
|
||||
}
|
||||
if CrossingSign(a0, a1, Point{b0.Mul(-1)}, Point{b1.Mul(-1)}) == Cross {
|
||||
return s1.StraightChordAngle, true
|
||||
}
|
||||
|
||||
// Otherwise, the maximum distance is achieved at an endpoint of at least
|
||||
// one of the two edges. We ensure that all four possibilities are always checked.
|
||||
//
|
||||
// The calculation below computes each of the six vertex-vertex distances
|
||||
// twice (this could be optimized).
|
||||
var ok1, ok2, ok3, ok4 bool
|
||||
maxDist, ok1 = UpdateMaxDistance(a0, b0, b1, maxDist)
|
||||
maxDist, ok2 = UpdateMaxDistance(a1, b0, b1, maxDist)
|
||||
maxDist, ok3 = UpdateMaxDistance(b0, a0, a1, maxDist)
|
||||
maxDist, ok4 = UpdateMaxDistance(b1, a0, a1, maxDist)
|
||||
return maxDist, ok1 || ok2 || ok3 || ok4
|
||||
}
|
||||
|
||||
// EdgePairClosestPoints returns the pair of points (a, b) that achieves the
|
||||
// minimum distance between edges a0a1 and b0b1, where a is a point on a0a1 and
|
||||
// b is a point on b0b1. If the two edges intersect, a and b are both equal to
|
||||
// the intersection point. Handles a0 == a1 and b0 == b1 correctly.
|
||||
func EdgePairClosestPoints(a0, a1, b0, b1 Point) (Point, Point) {
|
||||
if CrossingSign(a0, a1, b0, b1) == Cross {
|
||||
x := Intersection(a0, a1, b0, b1)
|
||||
return x, x
|
||||
}
|
||||
// We save some work by first determining which vertex/edge pair achieves
|
||||
// the minimum distance, and then computing the closest point on that edge.
|
||||
var minDist s1.ChordAngle
|
||||
var ok bool
|
||||
|
||||
minDist, ok = updateMinDistance(a0, b0, b1, minDist, true)
|
||||
closestVertex := 0
|
||||
if minDist, ok = UpdateMinDistance(a1, b0, b1, minDist); ok {
|
||||
closestVertex = 1
|
||||
}
|
||||
if minDist, ok = UpdateMinDistance(b0, a0, a1, minDist); ok {
|
||||
closestVertex = 2
|
||||
}
|
||||
if minDist, ok = UpdateMinDistance(b1, a0, a1, minDist); ok {
|
||||
closestVertex = 3
|
||||
}
|
||||
switch closestVertex {
|
||||
case 0:
|
||||
return a0, Project(a0, b0, b1)
|
||||
case 1:
|
||||
return a1, Project(a1, b0, b1)
|
||||
case 2:
|
||||
return Project(b0, a0, a1), b0
|
||||
case 3:
|
||||
return Project(b1, a0, a1), b1
|
||||
default:
|
||||
panic("illegal case reached")
|
||||
}
|
||||
}
|
Reference in New Issue
Block a user