raden 2026.1.1

2D Vector Graphics Library
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
// =============================================================================
// gradient.rs -- グラデーション
// =============================================================================
//
// Linear / Radial / Conic の 3 種類のグラデーションを提供する。
// Blend2D の BLGradient API に準拠した設計。
//
// Phase 1: 純 Rust スカラ実装 (LUT + スカラ合成)。
// Phase 2 以降で JIT/SIMD 化する。

use crate::api::matrix::Matrix2D;
use crate::api::style::Rgba32;

// =============================================================================
// 公開型
// =============================================================================

/// グラデーションの色停止点。
#[derive(Debug, Clone, Copy)]
pub struct GradientStop {
    /// 0.0-1.0 の相対位置。
    pub offset: f64,
    /// 色。
    pub color: Rgba32,
}

/// 範囲外処理モード。Blend2D の BLExtendMode (シンプルモード) に対応。
#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash, Default)]
#[repr(u8)]
pub enum ExtendMode {
    /// 端の色で埋める (デフォルト)。
    #[default]
    Pad = 0,
    /// 繰り返す。
    Repeat = 1,
    /// 反転して繰り返す。
    Reflect = 2,
}

/// Linear Gradient の定義値。Blend2D の BLLinearGradientValues に対応。
#[derive(Debug, Clone, Copy)]
pub struct LinearGradientValues {
    /// 開始 X。
    pub x0: f64,
    /// 開始 Y。
    pub y0: f64,
    /// 終了 X。
    pub x1: f64,
    /// 終了 Y。
    pub y1: f64,
}

/// Radial Gradient の定義値。Blend2D の BLRadialGradientValues に対応。
#[derive(Debug, Clone, Copy)]
pub struct RadialGradientValues {
    /// 中心 X。
    pub x0: f64,
    /// 中心 Y。
    pub y0: f64,
    /// 焦点 X。
    pub x1: f64,
    /// 焦点 Y。
    pub y1: f64,
    /// 中心半径。
    pub r0: f64,
    /// 焦点半径。
    pub r1: f64,
}

/// Conic Gradient の定義値。Blend2D の BLConicGradientValues に対応。
#[derive(Debug, Clone, Copy)]
pub struct ConicGradientValues {
    /// 中心 X。
    pub x0: f64,
    /// 中心 Y。
    pub y0: f64,
    /// 開始角度 (ラジアン)。
    pub angle: f64,
}

/// グラデーション値の種別。
#[derive(Debug, Clone)]
pub enum GradientValues {
    Linear(LinearGradientValues),
    Radial(RadialGradientValues),
    Conic(ConicGradientValues),
}

/// グラデーション。
///
/// 色停止点と拡張モードを保持する。座標はユーザー空間で指定する。
/// 描画時に Context の変換行列を反映した PreparedGradient に変換される。
#[derive(Debug, Clone)]
pub struct Gradient {
    values: GradientValues,
    stops: Vec<GradientStop>,
    extend_mode: ExtendMode,
}

impl Gradient {
    /// Linear Gradient を生成する。
    pub fn new_linear(x0: f64, y0: f64, x1: f64, y1: f64) -> Self {
        Self {
            values: GradientValues::Linear(LinearGradientValues { x0, y0, x1, y1 }),
            stops: Vec::new(),
            extend_mode: ExtendMode::Pad,
        }
    }

    /// Radial Gradient を生成する。
    pub fn new_radial(x0: f64, y0: f64, x1: f64, y1: f64, r0: f64, r1: f64) -> Self {
        Self {
            values: GradientValues::Radial(RadialGradientValues {
                x0,
                y0,
                x1,
                y1,
                r0,
                r1,
            }),
            stops: Vec::new(),
            extend_mode: ExtendMode::Pad,
        }
    }

    /// Conic Gradient を生成する。
    pub fn new_conic(x0: f64, y0: f64, angle: f64) -> Self {
        Self {
            values: GradientValues::Conic(ConicGradientValues { x0, y0, angle }),
            stops: Vec::new(),
            extend_mode: ExtendMode::Pad,
        }
    }

    /// 色停止点を追加する。offset は 0.0-1.0 にクランプされる。
    pub fn add_stop(&mut self, offset: f64, color: Rgba32) -> &mut Self {
        self.stops.push(GradientStop {
            offset: offset.clamp(0.0, 1.0),
            color,
        });
        self.stops
            .sort_by(|a, b| a.offset.partial_cmp(&b.offset).unwrap());
        self
    }

    /// 拡張モードを設定する。
    pub fn set_extend_mode(&mut self, mode: ExtendMode) -> &mut Self {
        self.extend_mode = mode;
        self
    }

    pub fn values(&self) -> &GradientValues {
        &self.values
    }

    pub fn stops(&self) -> &[GradientStop] {
        &self.stops
    }

    pub fn extend_mode(&self) -> ExtendMode {
        self.extend_mode
    }

    /// 描画用に事前計算されたグラデーション状態を生成する。
    ///
    /// matrix は Context の変換行列 (ユーザー空間 → デバイス空間)。
    /// グラデーション座標をデバイス空間に変換するために逆行列を使用する。
    pub(crate) fn prepare(&self, matrix: &Matrix2D) -> PreparedGradient {
        let lut = generate_lut(&self.stops);
        let inv = matrix.invert().unwrap_or(Matrix2D::IDENTITY);

        let kind = match &self.values {
            GradientValues::Linear(v) => {
                let dx = v.x1 - v.x0;
                let dy = v.y1 - v.y0;
                let len_sq = dx * dx + dy * dy;
                if len_sq < 1e-10 {
                    // 退化: 開始色で塗りつぶす
                    PreparedGradientKind::Linear {
                        dt_dx: 0.0,
                        dt_dy: 0.0,
                        t_origin: 0.0,
                    }
                } else {
                    // ユーザー空間での係数: t = a*ux + b*uy + c
                    let a = dx / len_sq;
                    let b = dy / len_sq;
                    let c = -(v.x0 * dx + v.y0 * dy) / len_sq;

                    // デバイス空間での係数に変換
                    PreparedGradientKind::Linear {
                        dt_dx: a * inv.m00 + b * inv.m01,
                        dt_dy: a * inv.m10 + b * inv.m11,
                        t_origin: a * inv.m20 + b * inv.m21 + c,
                    }
                }
            }
            GradientValues::Radial(v) => {
                let r_diff = v.r1 - v.r0;
                let inv_r_diff = if r_diff.abs() < 1e-10 {
                    0.0
                } else {
                    1.0 / r_diff
                };
                PreparedGradientKind::Radial {
                    cx: v.x0,
                    cy: v.y0,
                    r0: v.r0,
                    inv_r_diff,
                    dux_dx: inv.m00,
                    duy_dx: inv.m01,
                    dux_dy: inv.m10,
                    duy_dy: inv.m11,
                    ux_origin: inv.m20,
                    uy_origin: inv.m21,
                }
            }
            GradientValues::Conic(v) => PreparedGradientKind::Conic {
                cx: v.x0,
                cy: v.y0,
                angle_offset: v.angle,
                dux_dx: inv.m00,
                duy_dx: inv.m01,
                dux_dy: inv.m10,
                duy_dy: inv.m11,
                ux_origin: inv.m20,
                uy_origin: inv.m21,
            },
        };

        let lut_opaque = lut.iter().all(|&c| (c >> 24) == 0xFF);

        PreparedGradient {
            lut,
            extend_mode: self.extend_mode,
            kind,
            lut_opaque,
        }
    }
}

// =============================================================================
// 内部型
// =============================================================================

/// LUT サイズ。Blend2D のデフォルトに合わせる。
const LUT_SIZE: usize = 256;

/// 固定小数点の小数ビット数。
const FRAC_BITS: u32 = 16;

/// 描画用に事前計算されたグラデーション状態。
#[derive(Clone)]
pub(crate) struct PreparedGradient {
    lut: Vec<u32>,
    extend_mode: ExtendMode,
    kind: PreparedGradientKind,
    /// LUT の全エントリが完全不透明 (alpha=255) かどうか。
    /// true の場合、SrcOver 合成を省略して直接ストアできる。
    lut_opaque: bool,
}

#[derive(Clone)]
enum PreparedGradientKind {
    Linear {
        /// t の X 方向増分 (デバイス空間)。
        dt_dx: f64,
        /// t の Y 方向増分 (デバイス空間)。
        dt_dy: f64,
        /// (0, 0) での t 値。
        t_origin: f64,
    },
    Radial {
        /// ユーザー空間の中心 X (逆変換後の比較用)。
        cx: f64,
        /// ユーザー空間の中心 Y。
        cy: f64,
        r0: f64,
        inv_r_diff: f64,
        /// デバイス→ユーザー変換の X 方向増分。
        dux_dx: f64,
        duy_dx: f64,
        /// 行頭のユーザー座標計算用。
        dux_dy: f64,
        duy_dy: f64,
        ux_origin: f64,
        uy_origin: f64,
    },
    Conic {
        /// ユーザー空間の中心 X。
        cx: f64,
        /// ユーザー空間の中心 Y。
        cy: f64,
        angle_offset: f64,
        /// デバイス→ユーザー変換の X 方向増分。
        dux_dx: f64,
        duy_dx: f64,
        /// 行頭のユーザー座標計算用。
        dux_dy: f64,
        duy_dy: f64,
        ux_origin: f64,
        uy_origin: f64,
    },
}

impl PreparedGradient {
    /// スパンのグラデーション色を PRGB32 で計算する。
    ///
    /// (x_start, y) はデバイス座標。ピクセル中心 (+0.5) を使用する。
    pub(crate) fn fetch_span(&self, x_start: i32, y: i32, span: &mut [u32]) {
        match &self.kind {
            PreparedGradientKind::Linear {
                dt_dx,
                dt_dy,
                t_origin,
            } => {
                // ピクセル中心でのt値を計算
                let mut t = dt_dx * (x_start as f64 + 0.5) + dt_dy * (y as f64 + 0.5) + t_origin;
                for pixel in span.iter_mut() {
                    let idx = self.t_to_index(t);
                    *pixel = self.lut[idx];
                    t += dt_dx;
                }
            }
            PreparedGradientKind::Radial {
                cx,
                cy,
                r0,
                inv_r_diff,
                dux_dx,
                duy_dx,
                dux_dy,
                duy_dy,
                ux_origin,
                uy_origin,
            } => {
                // f32 に変換して内部ループを高速化する
                let cx_f = *cx as f32;
                let cy_f = *cy as f32;
                let r0_f = *r0 as f32;
                let inv_r_diff_f = *inv_r_diff as f32;
                let dux_dx_f = *dux_dx as f32;
                let duy_dx_f = *duy_dx as f32;
                let max_idx_f = (LUT_SIZE - 1) as f32;
                let px0 = x_start as f64 + 0.5;
                let py = y as f64 + 0.5;
                let mut ux = (dux_dx * px0 + dux_dy * py + ux_origin) as f32;
                let mut uy = (duy_dx * px0 + duy_dy * py + uy_origin) as f32;

                for pixel in span.iter_mut() {
                    let dx = ux - cx_f;
                    let dy = uy - cy_f;
                    let dist = (dx * dx + dy * dy).sqrt();
                    let idx =
                        ((dist - r0_f) * inv_r_diff_f * max_idx_f).clamp(0.0, max_idx_f) as usize;
                    *pixel = self.lut[idx];
                    ux += dux_dx_f;
                    uy += duy_dx_f;
                }
            }
            PreparedGradientKind::Conic {
                cx,
                cy,
                angle_offset,
                dux_dx,
                duy_dx,
                dux_dy,
                duy_dy,
                ux_origin,
                uy_origin,
            } => {
                let cx_f = *cx as f32;
                let cy_f = *cy as f32;
                let angle_off_f = *angle_offset as f32;
                let dux_dx_f = *dux_dx as f32;
                let duy_dx_f = *duy_dx as f32;
                let inv_2pi_f: f32 = 1.0 / (2.0 * std::f32::consts::PI);
                let max_idx_f = (LUT_SIZE - 1) as f32;
                let px0 = x_start as f64 + 0.5;
                let py = y as f64 + 0.5;
                let mut ux = (dux_dx * px0 + dux_dy * py + ux_origin) as f32;
                let mut uy = (duy_dx * px0 + duy_dy * py + uy_origin) as f32;

                for pixel in span.iter_mut() {
                    let dx = ux - cx_f;
                    let dy = uy - cy_f;
                    let angle = fast_atan2_f32(dy, dx) - angle_off_f;
                    let t = angle * inv_2pi_f;
                    let idx = ((t - t.floor()) * max_idx_f) as usize;
                    *pixel = self.lut[idx.min(LUT_SIZE - 1)];
                    ux += dux_dx_f;
                    uy += duy_dx_f;
                }
            }
        }
    }

    /// グラデーションを矩形に直接描画する (融合 fetch + blend)。
    ///
    /// 種別に応じた最適化パスにディスパッチする。
    /// LUT が全不透明かどうか。
    pub(crate) fn is_opaque(&self) -> bool {
        self.lut_opaque
    }

    /// Linear + Pad モードかどうか。
    pub(crate) fn is_linear_pad(&self) -> bool {
        matches!(self.kind, PreparedGradientKind::Linear { .. })
            && self.extend_mode == ExtendMode::Pad
    }

    pub(crate) fn fill_rect(
        &self,
        dst: *mut u8,
        stride: usize,
        x0: i32,
        y0: i32,
        width: usize,
        height: usize,
    ) {
        match &self.kind {
            PreparedGradientKind::Linear { .. } => {
                self.fill_rect_linear(dst, stride, x0, y0, width, height);
            }
            PreparedGradientKind::Radial { .. } => {
                self.fill_rect_radial(dst, stride, x0, y0, width, height);
            }
            PreparedGradientKind::Conic { .. } => {
                self.fill_rect_conic(dst, stride, x0, y0, width, height);
            }
        }
    }

    /// Linear グラデーションを矩形に直接描画する。
    ///
    /// fetch (固定小数点 t → LUT) と blend (SrcOver) を融合し、
    /// 中間バッファへの書き込み・読み戻しによるキャッシュ汚染を排除する。
    fn fill_rect_linear(
        &self,
        dst: *mut u8,
        stride: usize,
        x0: i32,
        y0: i32,
        width: usize,
        height: usize,
    ) {
        let PreparedGradientKind::Linear {
            dt_dx,
            dt_dy,
            t_origin,
        } = &self.kind
        else {
            return;
        };

        let max_idx = (LUT_SIZE - 1) as f64;
        let scale = max_idx * ((1u64 << FRAC_BITS) as f64);

        let dt_dx_fixed = (dt_dx * scale) as i64;
        let dt_dy_fixed = (dt_dy * scale) as i64;

        // 最初の行、最初のピクセル中心での t (固定小数点)
        let t_row0 =
            ((dt_dx * (x0 as f64 + 0.5) + dt_dy * (y0 as f64 + 0.5) + t_origin) * scale) as i64;
        let t_row_start = t_row0;

        // LUT が全不透明の場合、SrcOver 合成を省略して直接ストアする。
        // 4 ピクセルアンロールで書き込みスループットを向上させる。
        if self.lut_opaque {
            self.fill_rect_linear_opaque(
                dst,
                stride,
                width,
                height,
                t_row_start,
                dt_dx_fixed,
                dt_dy_fixed,
            );
        } else {
            self.fill_rect_linear_blend(
                dst,
                stride,
                width,
                height,
                t_row_start,
                dt_dx_fixed,
                dt_dy_fixed,
            );
        }
    }

    /// LUT が全不透明の場合の高速パス。SrcOver 合成を省略して直接ストアする。
    fn fill_rect_linear_opaque(
        &self,
        dst: *mut u8,
        stride: usize,
        width: usize,
        height: usize,
        mut t_row_start: i64,
        dt_dx_fixed: i64,
        dt_dy_fixed: i64,
    ) {
        let lut = &self.lut;
        let dt_dx4 = dt_dx_fixed * 4;

        for row in 0..height {
            let dst_row = unsafe { (dst.add(row * stride)) as *mut u32 };

            match self.extend_mode {
                ExtendMode::Pad => {
                    let max_fixed = (LUT_SIZE as i64 - 1) << FRAC_BITS;
                    let simd_width = width / 4;
                    let remainder = width - simd_width * 4;

                    // 4 ピクセルアンロール
                    let mut t0 = t_row_start;
                    let mut t1 = t_row_start + dt_dx_fixed;
                    let mut t2 = t_row_start + dt_dx_fixed * 2;
                    let mut t3 = t_row_start + dt_dx_fixed * 3;

                    for chunk in 0..simd_width {
                        let x = chunk * 4;
                        let i0 = (t0.clamp(0, max_fixed) >> FRAC_BITS) as usize;
                        let i1 = (t1.clamp(0, max_fixed) >> FRAC_BITS) as usize;
                        let i2 = (t2.clamp(0, max_fixed) >> FRAC_BITS) as usize;
                        let i3 = (t3.clamp(0, max_fixed) >> FRAC_BITS) as usize;

                        unsafe {
                            *dst_row.add(x) = lut[i0];
                            *dst_row.add(x + 1) = lut[i1];
                            *dst_row.add(x + 2) = lut[i2];
                            *dst_row.add(x + 3) = lut[i3];
                        }

                        t0 += dt_dx4;
                        t1 += dt_dx4;
                        t2 += dt_dx4;
                        t3 += dt_dx4;
                    }

                    // 余りピクセル
                    let mut t = t0;
                    for x in (width - remainder)..width {
                        let idx = (t.clamp(0, max_fixed) >> FRAC_BITS) as usize;
                        unsafe {
                            *dst_row.add(x) = lut[idx];
                        }
                        t += dt_dx_fixed;
                    }
                }
                ExtendMode::Repeat => {
                    let cycle_mask = ((LUT_SIZE as u64) << FRAC_BITS) - 1;
                    let mut t = t_row_start;
                    for x in 0..width {
                        let idx = (((t as u64) & cycle_mask) >> FRAC_BITS) as usize;
                        unsafe {
                            *dst_row.add(x) = lut[idx];
                        }
                        t += dt_dx_fixed;
                    }
                }
                ExtendMode::Reflect => {
                    let cycle_mask = ((LUT_SIZE as u64 * 2) << FRAC_BITS) - 1;
                    let mut t = t_row_start;
                    for x in 0..width {
                        let t_abs = t.unsigned_abs();
                        let t_mod = ((t_abs & cycle_mask) >> FRAC_BITS) as usize;
                        let idx = if t_mod > 255 { 511 - t_mod } else { t_mod };
                        unsafe {
                            *dst_row.add(x) = lut[idx];
                        }
                        t += dt_dx_fixed;
                    }
                }
            }

            t_row_start += dt_dy_fixed;
        }
    }

    /// 半透明を含む LUT の場合の通常パス。SrcOver 合成を行う。
    fn fill_rect_linear_blend(
        &self,
        dst: *mut u8,
        stride: usize,
        width: usize,
        height: usize,
        mut t_row_start: i64,
        dt_dx_fixed: i64,
        dt_dy_fixed: i64,
    ) {
        let lut = &self.lut;

        for row in 0..height {
            let mut t = t_row_start;
            let dst_row = unsafe { (dst.add(row * stride)) as *mut u32 };

            match self.extend_mode {
                ExtendMode::Pad => {
                    let max_fixed = (LUT_SIZE as i64 - 1) << FRAC_BITS;
                    for x in 0..width {
                        let idx = (t.clamp(0, max_fixed) >> FRAC_BITS) as usize;
                        blend_pixel_src_over(dst_row, x, lut[idx]);
                        t += dt_dx_fixed;
                    }
                }
                ExtendMode::Repeat => {
                    let cycle_mask = ((LUT_SIZE as u64) << FRAC_BITS) - 1;
                    for x in 0..width {
                        let idx = (((t as u64) & cycle_mask) >> FRAC_BITS) as usize;
                        blend_pixel_src_over(dst_row, x, lut[idx]);
                        t += dt_dx_fixed;
                    }
                }
                ExtendMode::Reflect => {
                    let cycle_mask = ((LUT_SIZE as u64 * 2) << FRAC_BITS) - 1;
                    for x in 0..width {
                        let t_abs = t.unsigned_abs();
                        let t_mod = ((t_abs & cycle_mask) >> FRAC_BITS) as usize;
                        let idx = if t_mod > 255 { 511 - t_mod } else { t_mod };
                        blend_pixel_src_over(dst_row, x, lut[idx]);
                        t += dt_dx_fixed;
                    }
                }
            }

            t_row_start += dt_dy_fixed;
        }
    }

    /// Linear グラデーションのスパンを固定小数点で計算し、JIT span_cov 用のバッファに書き込む。
    /// Radial グラデーションを矩形に直接描画する。
    ///
    /// f32 演算 + 4 ピクセルアンロールで sqrt スループットを向上させる。
    /// LUT が 256 エントリなので f32 精度で十分。
    fn fill_rect_radial(
        &self,
        dst: *mut u8,
        stride: usize,
        x0: i32,
        y0: i32,
        width: usize,
        height: usize,
    ) {
        let PreparedGradientKind::Radial {
            cx,
            cy,
            r0,
            inv_r_diff,
            dux_dx,
            duy_dx,
            dux_dy,
            duy_dy,
            ux_origin,
            uy_origin,
        } = &self.kind
        else {
            return;
        };

        let lut = &self.lut;
        let opaque = self.lut_opaque;

        // f32 に変換 (LUT 256 エントリに対して十分な精度)
        let cx_f = *cx as f32;
        let cy_f = *cy as f32;
        let r0_f = *r0 as f32;
        let inv_r_diff_f = *inv_r_diff as f32;
        let dux_dx_f = *dux_dx as f32;
        let duy_dx_f = *duy_dx as f32;
        let max_idx_f = (LUT_SIZE - 1) as f32;

        let px0 = x0 as f64 + 0.5;

        for row in 0..height {
            let y = y0 + row as i32;
            let py = y as f64 + 0.5;
            let ux_start = (dux_dx * px0 + dux_dy * py + ux_origin) as f32;
            let uy_start = (duy_dx * px0 + duy_dy * py + uy_origin) as f32;
            let dst_row = unsafe { (dst.add(row * stride)) as *mut u32 };

            if opaque {
                self.fill_radial_row_opaque(
                    dst_row,
                    lut,
                    width,
                    ux_start,
                    uy_start,
                    cx_f,
                    cy_f,
                    r0_f,
                    inv_r_diff_f,
                    dux_dx_f,
                    duy_dx_f,
                    max_idx_f,
                );
            } else {
                self.fill_radial_row_blend(
                    dst_row,
                    lut,
                    width,
                    ux_start,
                    uy_start,
                    cx_f,
                    cy_f,
                    r0_f,
                    inv_r_diff_f,
                    dux_dx_f,
                    duy_dx_f,
                    max_idx_f,
                );
            }
        }
    }

    /// Radial 不透明行: f32 4px アンロール + 直接ストア。
    #[inline(always)]
    fn fill_radial_row_opaque(
        &self,
        dst_row: *mut u32,
        lut: &[u32],
        width: usize,
        mut ux0: f32,
        mut uy0: f32,
        cx: f32,
        cy: f32,
        r0: f32,
        inv_r_diff: f32,
        dux_dx: f32,
        duy_dx: f32,
        max_idx: f32,
    ) {
        let dux4 = dux_dx * 4.0;
        let duy4 = duy_dx * 4.0;
        let mut ux1 = ux0 + dux_dx;
        let mut ux2 = ux0 + dux_dx * 2.0;
        let mut ux3 = ux0 + dux_dx * 3.0;
        let mut uy1 = uy0 + duy_dx;
        let mut uy2 = uy0 + duy_dx * 2.0;
        let mut uy3 = uy0 + duy_dx * 3.0;

        let simd_width = width / 4;
        let remainder = width - simd_width * 4;

        for chunk in 0..simd_width {
            let x = chunk * 4;

            let dx0 = ux0 - cx;
            let dy0 = uy0 - cy;
            let dx1 = ux1 - cx;
            let dy1 = uy1 - cy;
            let dx2 = ux2 - cx;
            let dy2 = uy2 - cy;
            let dx3 = ux3 - cx;
            let dy3 = uy3 - cy;

            let d0 = (dx0 * dx0 + dy0 * dy0).sqrt();
            let d1 = (dx1 * dx1 + dy1 * dy1).sqrt();
            let d2 = (dx2 * dx2 + dy2 * dy2).sqrt();
            let d3 = (dx3 * dx3 + dy3 * dy3).sqrt();

            let i0 = ((d0 - r0) * inv_r_diff * max_idx).clamp(0.0, max_idx) as usize;
            let i1 = ((d1 - r0) * inv_r_diff * max_idx).clamp(0.0, max_idx) as usize;
            let i2 = ((d2 - r0) * inv_r_diff * max_idx).clamp(0.0, max_idx) as usize;
            let i3 = ((d3 - r0) * inv_r_diff * max_idx).clamp(0.0, max_idx) as usize;

            unsafe {
                *dst_row.add(x) = lut[i0];
                *dst_row.add(x + 1) = lut[i1];
                *dst_row.add(x + 2) = lut[i2];
                *dst_row.add(x + 3) = lut[i3];
            }

            ux0 += dux4;
            ux1 += dux4;
            ux2 += dux4;
            ux3 += dux4;
            uy0 += duy4;
            uy1 += duy4;
            uy2 += duy4;
            uy3 += duy4;
        }

        // 余りピクセル
        for i in 0..remainder {
            let x = width - remainder + i;
            let dx = ux0 - cx;
            let dy = uy0 - cy;
            let dist = (dx * dx + dy * dy).sqrt();
            let idx = ((dist - r0) * inv_r_diff * max_idx).clamp(0.0, max_idx) as usize;
            unsafe {
                *dst_row.add(x) = lut[idx];
            }
            ux0 += dux_dx;
            uy0 += duy_dx;
        }
    }

    /// Radial 半透明行: SrcOver 合成。
    #[inline(always)]
    fn fill_radial_row_blend(
        &self,
        dst_row: *mut u32,
        lut: &[u32],
        width: usize,
        mut ux: f32,
        mut uy: f32,
        cx: f32,
        cy: f32,
        r0: f32,
        inv_r_diff: f32,
        dux_dx: f32,
        duy_dx: f32,
        max_idx: f32,
    ) {
        for x in 0..width {
            let dx = ux - cx;
            let dy = uy - cy;
            let dist = (dx * dx + dy * dy).sqrt();
            let idx = ((dist - r0) * inv_r_diff * max_idx).clamp(0.0, max_idx) as usize;
            blend_pixel_src_over(dst_row, x, lut[idx]);
            ux += dux_dx;
            uy += duy_dx;
        }
    }

    /// Conic グラデーションを矩形に直接描画する。
    ///
    /// f32 演算 + 4 ピクセルアンロールで fast_atan2 のスループットを向上させる。
    fn fill_rect_conic(
        &self,
        dst: *mut u8,
        stride: usize,
        x0: i32,
        y0: i32,
        width: usize,
        height: usize,
    ) {
        let PreparedGradientKind::Conic {
            cx,
            cy,
            angle_offset,
            dux_dx,
            duy_dx,
            dux_dy,
            duy_dy,
            ux_origin,
            uy_origin,
        } = &self.kind
        else {
            return;
        };

        let lut = &self.lut;
        let opaque = self.lut_opaque;

        let cx_f = *cx as f32;
        let cy_f = *cy as f32;
        let angle_off_f = *angle_offset as f32;
        let dux_dx_f = *dux_dx as f32;
        let duy_dx_f = *duy_dx as f32;
        let inv_2pi_f: f32 = 1.0 / (2.0 * std::f32::consts::PI);
        let max_idx_f = (LUT_SIZE - 1) as f32;

        let px0 = x0 as f64 + 0.5;
        let dux4 = dux_dx_f * 4.0;
        let duy4 = duy_dx_f * 4.0;

        for row in 0..height {
            let y = y0 + row as i32;
            let py = y as f64 + 0.5;
            let ux_start = (dux_dx * px0 + dux_dy * py + ux_origin) as f32;
            let uy_start = (duy_dx * px0 + duy_dy * py + uy_origin) as f32;
            let dst_row = unsafe { (dst.add(row * stride)) as *mut u32 };

            let simd_width = width / 4;
            let remainder = width - simd_width * 4;

            let mut ux0 = ux_start;
            let mut ux1 = ux_start + dux_dx_f;
            let mut ux2 = ux_start + dux_dx_f * 2.0;
            let mut ux3 = ux_start + dux_dx_f * 3.0;
            let mut uy0 = uy_start;
            let mut uy1 = uy_start + duy_dx_f;
            let mut uy2 = uy_start + duy_dx_f * 2.0;
            let mut uy3 = uy_start + duy_dx_f * 3.0;

            for chunk in 0..simd_width {
                let x = chunk * 4;

                let a0 = fast_atan2_f32(uy0 - cy_f, ux0 - cx_f) - angle_off_f;
                let a1 = fast_atan2_f32(uy1 - cy_f, ux1 - cx_f) - angle_off_f;
                let a2 = fast_atan2_f32(uy2 - cy_f, ux2 - cx_f) - angle_off_f;
                let a3 = fast_atan2_f32(uy3 - cy_f, ux3 - cx_f) - angle_off_f;

                let t0 = a0 * inv_2pi_f;
                let t1 = a1 * inv_2pi_f;
                let t2 = a2 * inv_2pi_f;
                let t3 = a3 * inv_2pi_f;

                let i0 = ((t0 - t0.floor()) * max_idx_f) as usize;
                let i1 = ((t1 - t1.floor()) * max_idx_f) as usize;
                let i2 = ((t2 - t2.floor()) * max_idx_f) as usize;
                let i3 = ((t3 - t3.floor()) * max_idx_f) as usize;

                if opaque {
                    unsafe {
                        *dst_row.add(x) = lut[i0.min(255)];
                        *dst_row.add(x + 1) = lut[i1.min(255)];
                        *dst_row.add(x + 2) = lut[i2.min(255)];
                        *dst_row.add(x + 3) = lut[i3.min(255)];
                    }
                } else {
                    blend_pixel_src_over(dst_row, x, lut[i0.min(255)]);
                    blend_pixel_src_over(dst_row, x + 1, lut[i1.min(255)]);
                    blend_pixel_src_over(dst_row, x + 2, lut[i2.min(255)]);
                    blend_pixel_src_over(dst_row, x + 3, lut[i3.min(255)]);
                }

                ux0 += dux4;
                ux1 += dux4;
                ux2 += dux4;
                ux3 += dux4;
                uy0 += duy4;
                uy1 += duy4;
                uy2 += duy4;
                uy3 += duy4;
            }

            // 余りピクセル
            for i in 0..remainder {
                let x = width - remainder + i;
                let dx = ux0 - cx_f;
                let dy = uy0 - cy_f;
                let angle = fast_atan2_f32(dy, dx) - angle_off_f;
                let t = angle * inv_2pi_f;
                let idx = ((t - t.floor()) * max_idx_f) as usize;
                if opaque {
                    unsafe {
                        *dst_row.add(x) = lut[idx.min(255)];
                    }
                } else {
                    blend_pixel_src_over(dst_row, x, lut[idx.min(255)]);
                }
                ux0 += dux_dx_f;
                uy0 += duy_dx_f;
            }
        }
    }

    /// Radial グラデーションを JIT F32X4 SIMD で矩形に描画する (不透明 LUT 専用)。
    /// Linear グラデーション fill_path を融合 JIT で描画する。
    ///
    /// ラスタライザのコールバック内で固定小数点 fetch + coverage + blend を
    /// 1 つの JIT 関数で処理し、中間バッファを排除する。
    pub(crate) fn fill_path_linear_jit(
        &self,
        rasterizer: &mut crate::raster::analytic::AnalyticRasterizer,
        edge_buf: &[(f64, f64, f64, f64)],
        clip_x0: i32,
        clip_y0: i32,
        clip_x1: i32,
        clip_y1: i32,
        sweep_fn: crate::pipeline::cache::SweepFn,
        stride: usize,
        base: *mut u8,
        linear_cov_fn: crate::pipeline::cache::LinearGradientCovFn,
    ) {
        let PreparedGradientKind::Linear {
            dt_dx,
            dt_dy,
            t_origin,
        } = &self.kind
        else {
            return;
        };

        let max_idx = (LUT_SIZE - 1) as f64;
        let scale = max_idx * ((1u64 << FRAC_BITS) as f64);
        let dt_dx_fixed = (dt_dx * scale) as i64;
        let lut_ptr = self.lut.as_ptr();

        rasterizer.rasterize(
            edge_buf,
            clip_x0,
            clip_y0,
            clip_x1,
            clip_y1,
            sweep_fn,
            |y, x_start, coverage| {
                let t_start = ((dt_dx * (x_start as f64 + 0.5)
                    + dt_dy * (y as f64 + 0.5)
                    + t_origin)
                    * scale) as i64;
                let offset = y as usize * stride + x_start as usize * 4;
                let dst_row = unsafe { base.add(offset) };
                unsafe {
                    linear_cov_fn(
                        dst_row,
                        lut_ptr,
                        coverage.len(),
                        coverage.as_ptr(),
                        t_start,
                        dt_dx_fixed,
                    );
                }
            },
        );
    }

    pub(crate) fn fill_rect_radial_jit(
        &self,
        dst: *mut u8,
        stride: usize,
        x0: i32,
        y0: i32,
        width: usize,
        height: usize,
        row_fn: crate::pipeline::cache::RadialGradientRowFn,
    ) {
        let PreparedGradientKind::Radial {
            cx,
            cy,
            r0,
            inv_r_diff,
            dux_dx,
            duy_dx,
            dux_dy,
            duy_dy,
            ux_origin,
            uy_origin,
        } = &self.kind
        else {
            return;
        };

        let cx_f = *cx as f32;
        let cy_f = *cy as f32;
        let r0_f = *r0 as f32;
        let inv_r_diff_max_f = (*inv_r_diff * (LUT_SIZE - 1) as f64) as f32;
        let dux_dx_f = *dux_dx as f32;
        let duy_dx_f = *duy_dx as f32;
        let lut_ptr = self.lut.as_ptr();
        let px0 = x0 as f64 + 0.5;

        for row in 0..height {
            let y = y0 + row as i32;
            let py = y as f64 + 0.5;
            let ux_start = (dux_dx * px0 + dux_dy * py + ux_origin) as f32;
            let uy_start = (duy_dx * px0 + duy_dy * py + uy_origin) as f32;
            let dst_row = unsafe { (dst.add(row * stride)) as *mut u32 };

            unsafe {
                row_fn(
                    dst_row,
                    lut_ptr,
                    width,
                    ux_start,
                    uy_start,
                    cx_f,
                    cy_f,
                    r0_f,
                    inv_r_diff_max_f,
                    dux_dx_f,
                    duy_dx_f,
                );
            }
        }
    }

    pub(crate) fn fetch_span_linear_fixed(&self, x_start: i32, y: i32, span: &mut [u32]) {
        let PreparedGradientKind::Linear {
            dt_dx,
            dt_dy,
            t_origin,
        } = &self.kind
        else {
            self.fetch_span(x_start, y, span);
            return;
        };

        let max_idx = (LUT_SIZE - 1) as f64;
        let scale = max_idx * ((1u64 << FRAC_BITS) as f64);

        let dt_dx_fixed = (dt_dx * scale) as i64;
        let mut t =
            ((dt_dx * (x_start as f64 + 0.5) + dt_dy * (y as f64 + 0.5) + t_origin) * scale) as i64;

        let lut = &self.lut;

        match self.extend_mode {
            ExtendMode::Pad => {
                let max_fixed = (max_idx as i64) << FRAC_BITS;
                for pixel in span.iter_mut() {
                    let idx = (t.clamp(0, max_fixed) >> FRAC_BITS) as usize;
                    *pixel = lut[idx];
                    t += dt_dx_fixed;
                }
            }
            ExtendMode::Repeat => {
                let cycle_mask = ((LUT_SIZE as u64) << FRAC_BITS) - 1;
                for pixel in span.iter_mut() {
                    let idx = (((t as u64) & cycle_mask) >> FRAC_BITS) as usize;
                    *pixel = lut[idx];
                    t += dt_dx_fixed;
                }
            }
            ExtendMode::Reflect => {
                let cycle_mask = ((LUT_SIZE as u64 * 2) << FRAC_BITS) - 1;
                for pixel in span.iter_mut() {
                    let t_abs = t.unsigned_abs();
                    let t_mod = ((t_abs & cycle_mask) >> FRAC_BITS) as usize;
                    let idx = if t_mod > 255 { 511 - t_mod } else { t_mod };
                    *pixel = lut[idx];
                    t += dt_dx_fixed;
                }
            }
        }
    }

    /// t 値を LUT インデックスに変換する。
    #[inline(always)]
    fn t_to_index(&self, t: f64) -> usize {
        let t = match self.extend_mode {
            ExtendMode::Pad => t.clamp(0.0, 1.0),
            ExtendMode::Repeat => {
                let t = t - t.floor();
                if t < 0.0 { t + 1.0 } else { t }
            }
            ExtendMode::Reflect => {
                let t = t.abs();
                let period = (t * 0.5).floor();
                let t = t - period * 2.0;
                if t > 1.0 { 2.0 - t } else { t }
            }
        };
        let idx = (t * (LUT_SIZE - 1) as f64).round() as usize;
        idx.min(LUT_SIZE - 1)
    }
}

// =============================================================================
// LUT 生成
// =============================================================================

/// 色停止点から PRGB32 形式の LUT を生成する。
fn generate_lut(stops: &[GradientStop]) -> Vec<u32> {
    if stops.is_empty() {
        return vec![0; LUT_SIZE];
    }
    if stops.len() == 1 {
        return vec![stops[0].color.to_prgb32(); LUT_SIZE];
    }

    let mut lut = Vec::with_capacity(LUT_SIZE);
    for i in 0..LUT_SIZE {
        let t = i as f64 / (LUT_SIZE - 1) as f64;
        let color = interpolate_stops(stops, t);
        lut.push(color);
    }
    lut
}

/// 色停止点間を補間して PRGB32 色を返す。
fn interpolate_stops(stops: &[GradientStop], t: f64) -> u32 {
    if t <= stops[0].offset {
        return stops[0].color.to_prgb32();
    }
    let last = stops.len() - 1;
    if t >= stops[last].offset {
        return stops[last].color.to_prgb32();
    }

    for i in 0..last {
        if t <= stops[i + 1].offset {
            let range = stops[i + 1].offset - stops[i].offset;
            if range < 1e-10 {
                return stops[i + 1].color.to_prgb32();
            }
            let local_t = (t - stops[i].offset) / range;
            return lerp_prgb32(stops[i].color, stops[i + 1].color, local_t);
        }
    }
    stops[last].color.to_prgb32()
}

// =============================================================================
// Rust スカラ合成関数
// =============================================================================
//
// fill_rect 等のカバレッジ不要なパスで使用する。
// LLVM の自動ベクタ化により、JIT スパンパイプラインと同等以上の性能が出る。

/// 1 ピクセルの SrcOver 合成。
#[inline(always)]
fn blend_pixel_src_over(dst_row: *mut u32, x: usize, src: u32) {
    let sa = src >> 24;
    if sa == 0 {
        return;
    }
    if sa == 255 {
        unsafe {
            *dst_row.add(x) = src;
        }
    } else {
        let d = unsafe { *dst_row.add(x) };
        let inv_sa = 256 - sa;
        let out_a = sa + ((((d >> 24) & 0xFF) * inv_sa) >> 8);
        let out_r = ((src >> 16) & 0xFF) + ((((d >> 16) & 0xFF) * inv_sa) >> 8);
        let out_g = ((src >> 8) & 0xFF) + ((((d >> 8) & 0xFF) * inv_sa) >> 8);
        let out_b = (src & 0xFF) + (((d & 0xFF) * inv_sa) >> 8);
        unsafe {
            *dst_row.add(x) = (out_a << 24) | (out_r << 16) | (out_g << 8) | out_b;
        }
    }
}

// =============================================================================
// 高速 atan2 近似
// =============================================================================

/// atan2 の多項式近似。標準ライブラリの atan2 (~50-100 サイクル) の代わりに使用する。
///
/// 高速 atan2 近似 (f32)。
#[inline(always)]
fn fast_atan2_f32(y: f32, x: f32) -> f32 {
    let ax = x.abs();
    let ay = y.abs();

    if ax < 1e-7 && ay < 1e-7 {
        return 0.0;
    }

    let (z, base) = if ax >= ay {
        (ay / ax, 0.0f32)
    } else {
        (ax / ay, std::f32::consts::FRAC_PI_2)
    };

    let z2 = z * z;
    // atan(z) の minimax 多項式
    let p = -0.046_496_475_f32;
    let p = p * z2 + 0.159_314_22;
    let p = p * z2 - 0.327_622_76;
    let result = (p * z2 + 1.0) * z;

    let result = if ax >= ay { result } else { base - result };
    let result = if x < 0.0 {
        std::f32::consts::PI - result
    } else {
        result
    };
    if y < 0.0 { -result } else { result }
}

/// 2 色間を premultiplied ARGB32 空間で線形補間する。
fn lerp_prgb32(c0: Rgba32, c1: Rgba32, t: f64) -> u32 {
    let p0 = c0.to_prgb32();
    let p1 = c1.to_prgb32();

    // 8.8 固定小数点で補間
    let t_fixed = (t * 256.0) as u32;
    let inv_t = 256 - t_fixed;

    let a = (((p0 >> 24) & 0xFF) * inv_t + ((p1 >> 24) & 0xFF) * t_fixed) >> 8;
    let r = (((p0 >> 16) & 0xFF) * inv_t + ((p1 >> 16) & 0xFF) * t_fixed) >> 8;
    let g = (((p0 >> 8) & 0xFF) * inv_t + ((p1 >> 8) & 0xFF) * t_fixed) >> 8;
    let b = ((p0 & 0xFF) * inv_t + (p1 & 0xFF) * t_fixed) >> 8;

    (a << 24) | (r << 16) | (g << 8) | b
}