@@ -56,25 +56,26 @@ pub fn split_bezpath_at_segment(bezpath: &BezPath, segment_index: usize, t: f64)
56
56
}
57
57
58
58
/// Splits the [`BezPath`] at a `t` value which lies in the range of [0, 1].
59
- /// Returns [`None`] if the given [`BezPath`] has no segments or `t` is within f64::EPSILON of 0 or 1 .
60
- pub fn split_bezpath ( bezpath : & BezPath , t : f64 , euclidian : bool ) -> Option < ( BezPath , BezPath ) > {
61
- if t <= f64 :: EPSILON || ( 1. - t ) <= f64 :: EPSILON || bezpath. segments ( ) . count ( ) == 0 {
59
+ /// Returns [`None`] if the given [`BezPath`] has no segments.
60
+ pub fn split_bezpath ( bezpath : & BezPath , t_value : TValue ) -> Option < ( BezPath , BezPath ) > {
61
+ if bezpath. segments ( ) . count ( ) == 0 {
62
62
return None ;
63
63
}
64
64
65
65
// Get the segment which lies at the split.
66
- let ( segment_index, t) = t_value_to_parametric ( bezpath, t , euclidian , None ) ;
66
+ let ( segment_index, t) = eval_bezpath ( bezpath, t_value , None ) ;
67
67
split_bezpath_at_segment ( bezpath, segment_index, t)
68
68
}
69
69
70
- pub fn evaluate_bezpath ( bezpath : & BezPath , t : f64 , euclidian : bool , segments_length : Option < & [ f64 ] > ) -> Point {
71
- let ( segment_index, t) = t_value_to_parametric ( bezpath, t , euclidian , segments_length) ;
70
+ pub fn evaluate_bezpath ( bezpath : & BezPath , t_value : TValue , segments_length : Option < & [ f64 ] > ) -> Point {
71
+ let ( segment_index, t) = eval_bezpath ( bezpath, t_value , segments_length) ;
72
72
bezpath. get_seg ( segment_index + 1 ) . unwrap ( ) . eval ( t)
73
73
}
74
74
75
- pub fn tangent_on_bezpath ( bezpath : & BezPath , t : f64 , euclidian : bool , segments_length : Option < & [ f64 ] > ) -> Point {
76
- let ( segment_index, t) = t_value_to_parametric ( bezpath, t , euclidian , segments_length) ;
75
+ pub fn tangent_on_bezpath ( bezpath : & BezPath , t_value : TValue , segments_length : Option < & [ f64 ] > ) -> Point {
76
+ let ( segment_index, t) = eval_bezpath ( bezpath, t_value , segments_length) ;
77
77
let segment = bezpath. get_seg ( segment_index + 1 ) . unwrap ( ) ;
78
+
78
79
match segment {
79
80
PathSeg :: Line ( line) => line. deriv ( ) . eval ( t) ,
80
81
PathSeg :: Quad ( quad_bez) => quad_bez. deriv ( ) . eval ( t) ,
@@ -180,23 +181,35 @@ pub fn sample_polyline_on_bezpath(
180
181
Some ( sample_bezpath)
181
182
}
182
183
183
- pub fn t_value_to_parametric ( bezpath : & BezPath , t : f64 , euclidian : bool , segments_length : Option < & [ f64 ] > ) -> ( usize , f64 ) {
184
- if euclidian {
185
- let ( segment_index, t) = bezpath_t_value_to_parametric ( bezpath, BezPathTValue :: GlobalEuclidean ( t) , segments_length) ;
186
- let segment = bezpath. get_seg ( segment_index + 1 ) . unwrap ( ) ;
187
- return ( segment_index, eval_pathseg_euclidean ( segment, t, DEFAULT_ACCURACY ) ) ;
184
+ #[ derive( Debug , Clone , Copy ) ]
185
+ pub enum TValue {
186
+ Parametric ( f64 ) ,
187
+ Euclidean ( f64 ) ,
188
+ }
189
+
190
+ /// Return the subsegment for the given [TValue] range. Returns None if parametric value of `t1` is greater than `t2`.
191
+ pub fn trim_pathseg ( segment : PathSeg , t1 : TValue , t2 : TValue ) -> Option < PathSeg > {
192
+ let t1 = eval_pathseg ( segment, t1) ;
193
+ let t2 = eval_pathseg ( segment, t2) ;
194
+
195
+ if t1 > t2 { None } else { Some ( segment. subsegment ( t1..t2) ) }
196
+ }
197
+
198
+ pub fn eval_pathseg ( segment : PathSeg , t_value : TValue ) -> f64 {
199
+ match t_value {
200
+ TValue :: Parametric ( t) => t,
201
+ TValue :: Euclidean ( t) => eval_pathseg_euclidean ( segment, t, DEFAULT_ACCURACY ) ,
188
202
}
189
- bezpath_t_value_to_parametric ( bezpath, BezPathTValue :: GlobalParametric ( t) , segments_length)
190
203
}
191
204
192
205
/// Finds the t value of point on the given path segment i.e fractional distance along the segment's total length.
193
206
/// It uses a binary search to find the value `t` such that the ratio `length_up_to_t / total_length` approximates the input `distance`.
194
- pub fn eval_pathseg_euclidean ( path_segment : PathSeg , distance : f64 , accuracy : f64 ) -> f64 {
207
+ pub fn eval_pathseg_euclidean ( segment : PathSeg , distance : f64 , accuracy : f64 ) -> f64 {
195
208
let mut low_t = 0. ;
196
209
let mut mid_t = 0.5 ;
197
210
let mut high_t = 1. ;
198
211
199
- let total_length = path_segment . perimeter ( accuracy) ;
212
+ let total_length = segment . perimeter ( accuracy) ;
200
213
201
214
if !total_length. is_finite ( ) || total_length <= f64:: EPSILON {
202
215
return 0. ;
@@ -205,7 +218,7 @@ pub fn eval_pathseg_euclidean(path_segment: PathSeg, distance: f64, accuracy: f6
205
218
let distance = distance. clamp ( 0. , 1. ) ;
206
219
207
220
while high_t - low_t > accuracy {
208
- let current_length = path_segment . subsegment ( 0.0 ..mid_t) . perimeter ( accuracy) ;
221
+ let current_length = segment . subsegment ( 0.0 ..mid_t) . perimeter ( accuracy) ;
209
222
let current_distance = current_length / total_length;
210
223
211
224
if current_distance > distance {
@@ -222,7 +235,7 @@ pub fn eval_pathseg_euclidean(path_segment: PathSeg, distance: f64, accuracy: f6
222
235
/// Converts from a bezpath (composed of multiple segments) to a point along a certain segment represented.
223
236
/// The returned tuple represents the segment index and the `t` value along that segment.
224
237
/// Both the input global `t` value and the output `t` value are in euclidean space, meaning there is a constant rate of change along the arc length.
225
- fn global_euclidean_to_local_euclidean ( bezpath : & BezPath , global_t : f64 , lengths : & [ f64 ] , total_length : f64 ) -> ( usize , f64 ) {
238
+ fn eval_bazpath_to_euclidean ( bezpath : & BezPath , global_t : f64 , lengths : & [ f64 ] , total_length : f64 ) -> ( usize , f64 ) {
226
239
let mut accumulator = 0. ;
227
240
for ( index, length) in lengths. iter ( ) . enumerate ( ) {
228
241
let length_ratio = length / total_length;
@@ -234,19 +247,14 @@ fn global_euclidean_to_local_euclidean(bezpath: &BezPath, global_t: f64, lengths
234
247
( bezpath. segments ( ) . count ( ) - 1 , 1. )
235
248
}
236
249
237
- enum BezPathTValue {
238
- GlobalEuclidean ( f64 ) ,
239
- GlobalParametric ( f64 ) ,
240
- }
241
-
242
- /// Convert a [BezPathTValue] to a parametric `(segment_index, t)` tuple.
243
- /// - Asserts that `t` values contained within the `SubpathTValue` argument lie in the range [0, 1].
244
- fn bezpath_t_value_to_parametric ( bezpath : & BezPath , t : BezPathTValue , precomputed_segments_length : Option < & [ f64 ] > ) -> ( usize , f64 ) {
250
+ /// Convert a [TValue] to a parametric `(segment_index, t)` tuple.
251
+ /// - Asserts that `t` values contained within the `TValue` argument lie in the range [0, 1].
252
+ fn eval_bezpath ( bezpath : & BezPath , t : TValue , precomputed_segments_length : Option < & [ f64 ] > ) -> ( usize , f64 ) {
245
253
let segment_count = bezpath. segments ( ) . count ( ) ;
246
254
assert ! ( segment_count >= 1 ) ;
247
255
248
256
match t {
249
- BezPathTValue :: GlobalEuclidean ( t) => {
257
+ TValue :: Euclidean ( t) => {
250
258
let computed_segments_length;
251
259
252
260
let segments_length = if let Some ( segments_length) = precomputed_segments_length {
@@ -258,16 +266,18 @@ fn bezpath_t_value_to_parametric(bezpath: &BezPath, t: BezPathTValue, precompute
258
266
259
267
let total_length = segments_length. iter ( ) . sum ( ) ;
260
268
261
- global_euclidean_to_local_euclidean ( bezpath, t, segments_length, total_length)
269
+ let ( segment_index, t) = eval_bazpath_to_euclidean ( bezpath, t, segments_length, total_length) ;
270
+ let segment = bezpath. get_seg ( segment_index + 1 ) . unwrap ( ) ;
271
+ ( segment_index, eval_pathseg_euclidean ( segment, t, DEFAULT_ACCURACY ) )
262
272
}
263
- BezPathTValue :: GlobalParametric ( global_t ) => {
264
- assert ! ( ( 0.0 ..=1. ) . contains( & global_t ) ) ;
273
+ TValue :: Parametric ( t ) => {
274
+ assert ! ( ( 0.0 ..=1. ) . contains( & t ) ) ;
265
275
266
- if global_t == 1. {
276
+ if t == 1. {
267
277
return ( segment_count - 1 , 1. ) ;
268
278
}
269
279
270
- let scaled_t = global_t * segment_count as f64 ;
280
+ let scaled_t = t * segment_count as f64 ;
271
281
let segment_index = scaled_t. floor ( ) as usize ;
272
282
let t = scaled_t - segment_index as f64 ;
273
283
0 commit comments