1 // Copyright 2014 The PDFium Authors
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4
5 // Original code copyright 2014 Foxit Software Inc. http://www.foxitsoftware.com
6
7 #include "core/fxcrt/fx_coordinates.h"
8
9 #include <math.h>
10
11 #include <algorithm>
12 #include <array>
13 #include <iterator>
14 #include <utility>
15
16 #include "build/build_config.h"
17 #include "core/fxcrt/fx_extension.h"
18 #include "core/fxcrt/fx_safe_types.h"
19 #include "core/fxcrt/fx_system.h"
20
21 namespace {
22
MatchFloatRange(float f1,float f2,int * i1,int * i2)23 void MatchFloatRange(float f1, float f2, int* i1, int* i2) {
24 float length = ceilf(f2 - f1);
25 float f1_floor = floorf(f1);
26 float f1_ceil = ceilf(f1);
27 float error1 = f1 - f1_floor + fabsf(f2 - f1_floor - length);
28 float error2 = f1_ceil - f1 + fabsf(f2 - f1_ceil - length);
29 float start = error1 > error2 ? f1_ceil : f1_floor;
30 FX_SAFE_INT32 safe1 = start;
31 FX_SAFE_INT32 safe2 = start + length;
32 if (safe1.IsValid() && safe2.IsValid()) {
33 *i1 = safe1.ValueOrDie();
34 *i2 = safe2.ValueOrDie();
35 } else {
36 *i1 = 0;
37 *i2 = 0;
38 }
39 }
40
41 #if BUILDFLAG(IS_WIN)
42 static_assert(sizeof(FX_RECT) == sizeof(RECT), "FX_RECT vs. RECT mismatch");
43 static_assert(offsetof(FX_RECT, left) == offsetof(RECT, left),
44 "FX_RECT vs. RECT mismatch");
45 static_assert(offsetof(FX_RECT, top) == offsetof(RECT, top),
46 "FX_RECT vs. RECT mismatch");
47 static_assert(offsetof(FX_RECT, right) == offsetof(RECT, right),
48 "FX_RECT vs. RECT mismatch");
49 static_assert(offsetof(FX_RECT, bottom) == offsetof(RECT, bottom),
50 "FX_RECT vs. RECT mismatch");
51 static_assert(sizeof(FX_RECT::left) == sizeof(RECT::left),
52 "FX_RECT vs. RECT mismatch");
53 static_assert(sizeof(FX_RECT::top) == sizeof(RECT::top),
54 "FX_RECT vs. RECT mismatch");
55 static_assert(sizeof(FX_RECT::right) == sizeof(RECT::right),
56 "FX_RECT vs. RECT mismatch");
57 static_assert(sizeof(FX_RECT::bottom) == sizeof(RECT::bottom),
58 "FX_RECT vs. RECT mismatch");
59 #endif
60
61 } // namespace
62
63 template <>
Length() const64 float CFX_VTemplate<float>::Length() const {
65 return hypotf(x, y);
66 }
67
68 template <>
Normalize()69 void CFX_VTemplate<float>::Normalize() {
70 float fLen = Length();
71 if (fLen < 0.0001f)
72 return;
73
74 x /= fLen;
75 y /= fLen;
76 }
77
Valid() const78 bool FX_RECT::Valid() const {
79 FX_SAFE_INT32 w = right;
80 FX_SAFE_INT32 h = bottom;
81 w -= left;
82 h -= top;
83 return w.IsValid() && h.IsValid();
84 }
85
Normalize()86 void FX_RECT::Normalize() {
87 if (left > right)
88 std::swap(left, right);
89 if (top > bottom)
90 std::swap(top, bottom);
91 }
92
Intersect(const FX_RECT & src)93 void FX_RECT::Intersect(const FX_RECT& src) {
94 FX_RECT src_n = src;
95 src_n.Normalize();
96 Normalize();
97 left = std::max(left, src_n.left);
98 top = std::max(top, src_n.top);
99 right = std::min(right, src_n.right);
100 bottom = std::min(bottom, src_n.bottom);
101 if (left > right || top > bottom) {
102 left = top = right = bottom = 0;
103 }
104 }
105
SwappedClipBox(int width,int height,bool bFlipX,bool bFlipY) const106 FX_RECT FX_RECT::SwappedClipBox(int width,
107 int height,
108 bool bFlipX,
109 bool bFlipY) const {
110 FX_RECT rect;
111 if (bFlipY) {
112 rect.left = height - top;
113 rect.right = height - bottom;
114 } else {
115 rect.left = top;
116 rect.right = bottom;
117 }
118 if (bFlipX) {
119 rect.top = width - left;
120 rect.bottom = width - right;
121 } else {
122 rect.top = left;
123 rect.bottom = right;
124 }
125 rect.Normalize();
126 return rect;
127 }
128
129 // Y-axis runs the opposite way in FX_RECT.
CFX_FloatRect(const FX_RECT & rect)130 CFX_FloatRect::CFX_FloatRect(const FX_RECT& rect)
131 : left(rect.left), bottom(rect.top), right(rect.right), top(rect.bottom) {}
132
CFX_FloatRect(const CFX_PointF & point)133 CFX_FloatRect::CFX_FloatRect(const CFX_PointF& point)
134 : left(point.x), bottom(point.y), right(point.x), top(point.y) {}
135
136 // static
GetBBox(pdfium::span<const CFX_PointF> pPoints)137 CFX_FloatRect CFX_FloatRect::GetBBox(pdfium::span<const CFX_PointF> pPoints) {
138 if (pPoints.empty())
139 return CFX_FloatRect();
140
141 float min_x = pPoints.front().x;
142 float max_x = pPoints.front().x;
143 float min_y = pPoints.front().y;
144 float max_y = pPoints.front().y;
145 for (const auto& point : pPoints.subspan(1)) {
146 min_x = std::min(min_x, point.x);
147 max_x = std::max(max_x, point.x);
148 min_y = std::min(min_y, point.y);
149 max_y = std::max(max_y, point.y);
150 }
151 return CFX_FloatRect(min_x, min_y, max_x, max_y);
152 }
153
Normalize()154 void CFX_FloatRect::Normalize() {
155 if (left > right)
156 std::swap(left, right);
157 if (bottom > top)
158 std::swap(top, bottom);
159 }
160
Intersect(const CFX_FloatRect & other_rect)161 void CFX_FloatRect::Intersect(const CFX_FloatRect& other_rect) {
162 Normalize();
163 CFX_FloatRect other = other_rect;
164 other.Normalize();
165 left = std::max(left, other.left);
166 bottom = std::max(bottom, other.bottom);
167 right = std::min(right, other.right);
168 top = std::min(top, other.top);
169 if (left > right || bottom > top)
170 *this = CFX_FloatRect();
171 }
172
Union(const CFX_FloatRect & other_rect)173 void CFX_FloatRect::Union(const CFX_FloatRect& other_rect) {
174 Normalize();
175 CFX_FloatRect other = other_rect;
176 other.Normalize();
177 left = std::min(left, other.left);
178 bottom = std::min(bottom, other.bottom);
179 right = std::max(right, other.right);
180 top = std::max(top, other.top);
181 }
182
GetOuterRect() const183 FX_RECT CFX_FloatRect::GetOuterRect() const {
184 FX_RECT rect;
185 rect.left = pdfium::saturated_cast<int>(floor(left));
186 rect.bottom = pdfium::saturated_cast<int>(ceil(top));
187 rect.right = pdfium::saturated_cast<int>(ceil(right));
188 rect.top = pdfium::saturated_cast<int>(floor(bottom));
189 rect.Normalize();
190 return rect;
191 }
192
GetInnerRect() const193 FX_RECT CFX_FloatRect::GetInnerRect() const {
194 FX_RECT rect;
195 rect.left = pdfium::saturated_cast<int>(ceil(left));
196 rect.bottom = pdfium::saturated_cast<int>(floor(top));
197 rect.right = pdfium::saturated_cast<int>(floor(right));
198 rect.top = pdfium::saturated_cast<int>(ceil(bottom));
199 rect.Normalize();
200 return rect;
201 }
202
GetClosestRect() const203 FX_RECT CFX_FloatRect::GetClosestRect() const {
204 FX_RECT rect;
205 MatchFloatRange(left, right, &rect.left, &rect.right);
206 MatchFloatRange(bottom, top, &rect.top, &rect.bottom);
207 rect.Normalize();
208 return rect;
209 }
210
GetCenterSquare() const211 CFX_FloatRect CFX_FloatRect::GetCenterSquare() const {
212 float fWidth = Width();
213 float fHeight = Height();
214 float fHalfWidth = (fWidth > fHeight) ? fHeight / 2 : fWidth / 2;
215
216 float fCenterX = (left + right) / 2.0f;
217 float fCenterY = (top + bottom) / 2.0f;
218 return CFX_FloatRect(fCenterX - fHalfWidth, fCenterY - fHalfWidth,
219 fCenterX + fHalfWidth, fCenterY + fHalfWidth);
220 }
221
Contains(const CFX_PointF & point) const222 bool CFX_FloatRect::Contains(const CFX_PointF& point) const {
223 CFX_FloatRect n1(*this);
224 n1.Normalize();
225 return point.x <= n1.right && point.x >= n1.left && point.y <= n1.top &&
226 point.y >= n1.bottom;
227 }
228
Contains(const CFX_FloatRect & other_rect) const229 bool CFX_FloatRect::Contains(const CFX_FloatRect& other_rect) const {
230 CFX_FloatRect n1(*this);
231 CFX_FloatRect n2(other_rect);
232 n1.Normalize();
233 n2.Normalize();
234 return n2.left >= n1.left && n2.right <= n1.right && n2.bottom >= n1.bottom &&
235 n2.top <= n1.top;
236 }
237
UpdateRect(const CFX_PointF & point)238 void CFX_FloatRect::UpdateRect(const CFX_PointF& point) {
239 left = std::min(left, point.x);
240 bottom = std::min(bottom, point.y);
241 right = std::max(right, point.x);
242 top = std::max(top, point.y);
243 }
244
Inflate(float x,float y)245 void CFX_FloatRect::Inflate(float x, float y) {
246 Inflate(x, y, x, y);
247 }
248
Inflate(float other_left,float other_bottom,float other_right,float other_top)249 void CFX_FloatRect::Inflate(float other_left,
250 float other_bottom,
251 float other_right,
252 float other_top) {
253 Normalize();
254 left -= other_left;
255 bottom -= other_bottom;
256 right += other_right;
257 top += other_top;
258 }
259
Inflate(const CFX_FloatRect & rt)260 void CFX_FloatRect::Inflate(const CFX_FloatRect& rt) {
261 Inflate(rt.left, rt.bottom, rt.right, rt.top);
262 }
263
Deflate(float x,float y)264 void CFX_FloatRect::Deflate(float x, float y) {
265 Deflate(x, y, x, y);
266 }
267
Deflate(float other_left,float other_bottom,float other_right,float other_top)268 void CFX_FloatRect::Deflate(float other_left,
269 float other_bottom,
270 float other_right,
271 float other_top) {
272 Inflate(-other_left, -other_bottom, -other_right, -other_top);
273 }
274
Deflate(const CFX_FloatRect & rt)275 void CFX_FloatRect::Deflate(const CFX_FloatRect& rt) {
276 Deflate(rt.left, rt.bottom, rt.right, rt.top);
277 }
278
GetDeflated(float x,float y) const279 CFX_FloatRect CFX_FloatRect::GetDeflated(float x, float y) const {
280 if (IsEmpty())
281 return CFX_FloatRect();
282
283 CFX_FloatRect that = *this;
284 that.Deflate(x, y);
285 that.Normalize();
286 return that;
287 }
288
Translate(float e,float f)289 void CFX_FloatRect::Translate(float e, float f) {
290 left += e;
291 right += e;
292 top += f;
293 bottom += f;
294 }
295
Scale(float fScale)296 void CFX_FloatRect::Scale(float fScale) {
297 left *= fScale;
298 bottom *= fScale;
299 right *= fScale;
300 top *= fScale;
301 }
302
ScaleFromCenterPoint(float fScale)303 void CFX_FloatRect::ScaleFromCenterPoint(float fScale) {
304 float fHalfWidth = (right - left) / 2.0f;
305 float fHalfHeight = (top - bottom) / 2.0f;
306
307 float center_x = (left + right) / 2;
308 float center_y = (top + bottom) / 2;
309
310 left = center_x - fHalfWidth * fScale;
311 bottom = center_y - fHalfHeight * fScale;
312 right = center_x + fHalfWidth * fScale;
313 top = center_y + fHalfHeight * fScale;
314 }
315
ToFxRect() const316 FX_RECT CFX_FloatRect::ToFxRect() const {
317 return FX_RECT(static_cast<int>(left), static_cast<int>(top),
318 static_cast<int>(right), static_cast<int>(bottom));
319 }
320
ToRoundedFxRect() const321 FX_RECT CFX_FloatRect::ToRoundedFxRect() const {
322 return FX_RECT(FXSYS_roundf(left), FXSYS_roundf(top), FXSYS_roundf(right),
323 FXSYS_roundf(bottom));
324 }
325
Union(float x,float y)326 void CFX_RectF::Union(float x, float y) {
327 float r = right();
328 float b = bottom();
329
330 left = std::min(left, x);
331 top = std::min(top, y);
332 r = std::max(r, x);
333 b = std::max(b, y);
334
335 width = r - left;
336 height = b - top;
337 }
338
Union(const CFX_RectF & rt)339 void CFX_RectF::Union(const CFX_RectF& rt) {
340 float r = right();
341 float b = bottom();
342
343 left = std::min(left, rt.left);
344 top = std::min(top, rt.top);
345 r = std::max(r, rt.right());
346 b = std::max(b, rt.bottom());
347
348 width = r - left;
349 height = b - top;
350 }
351
Intersect(const CFX_RectF & rt)352 void CFX_RectF::Intersect(const CFX_RectF& rt) {
353 float r = right();
354 float b = bottom();
355
356 left = std::max(left, rt.left);
357 top = std::max(top, rt.top);
358 r = std::min(r, rt.right());
359 b = std::min(b, rt.bottom());
360
361 width = r - left;
362 height = b - top;
363 }
364
GetOuterRect() const365 FX_RECT CFX_RectF::GetOuterRect() const {
366 return FX_RECT(static_cast<int32_t>(floor(left)),
367 static_cast<int32_t>(floor(top)),
368 static_cast<int32_t>(ceil(right())),
369 static_cast<int32_t>(ceil(bottom())));
370 }
371
GetInverse() const372 CFX_Matrix CFX_Matrix::GetInverse() const {
373 CFX_Matrix inverse;
374 float i = a * d - b * c;
375 if (fabs(i) == 0)
376 return inverse;
377
378 float j = -i;
379 inverse.a = d / i;
380 inverse.b = b / j;
381 inverse.c = c / j;
382 inverse.d = a / i;
383 inverse.e = (c * f - d * e) / i;
384 inverse.f = (a * f - b * e) / j;
385 return inverse;
386 }
387
Is90Rotated() const388 bool CFX_Matrix::Is90Rotated() const {
389 return fabs(a * 1000) < fabs(b) && fabs(d * 1000) < fabs(c);
390 }
391
IsScaled() const392 bool CFX_Matrix::IsScaled() const {
393 return fabs(b * 1000) < fabs(a) && fabs(c * 1000) < fabs(d);
394 }
395
Translate(float x,float y)396 void CFX_Matrix::Translate(float x, float y) {
397 e += x;
398 f += y;
399 }
400
TranslatePrepend(float x,float y)401 void CFX_Matrix::TranslatePrepend(float x, float y) {
402 e += x * a + y * c;
403 f += y * d + x * b;
404 }
405
Scale(float sx,float sy)406 void CFX_Matrix::Scale(float sx, float sy) {
407 a *= sx;
408 b *= sy;
409 c *= sx;
410 d *= sy;
411 e *= sx;
412 f *= sy;
413 }
414
Rotate(float fRadian)415 void CFX_Matrix::Rotate(float fRadian) {
416 float cosValue = cos(fRadian);
417 float sinValue = sin(fRadian);
418 Concat(CFX_Matrix(cosValue, sinValue, -sinValue, cosValue, 0, 0));
419 }
420
MatchRect(const CFX_FloatRect & dest,const CFX_FloatRect & src)421 void CFX_Matrix::MatchRect(const CFX_FloatRect& dest,
422 const CFX_FloatRect& src) {
423 float fDiff = src.left - src.right;
424 a = fabs(fDiff) < 0.001f ? 1 : (dest.left - dest.right) / fDiff;
425
426 fDiff = src.bottom - src.top;
427 d = fabs(fDiff) < 0.001f ? 1 : (dest.bottom - dest.top) / fDiff;
428 e = dest.left - src.left * a;
429 f = dest.bottom - src.bottom * d;
430 b = 0;
431 c = 0;
432 }
433
GetXUnit() const434 float CFX_Matrix::GetXUnit() const {
435 if (b == 0)
436 return (a > 0 ? a : -a);
437 if (a == 0)
438 return (b > 0 ? b : -b);
439 return hypotf(a, b);
440 }
441
GetYUnit() const442 float CFX_Matrix::GetYUnit() const {
443 if (c == 0)
444 return (d > 0 ? d : -d);
445 if (d == 0)
446 return (c > 0 ? c : -c);
447 return hypotf(c, d);
448 }
449
GetUnitRect() const450 CFX_FloatRect CFX_Matrix::GetUnitRect() const {
451 return TransformRect(CFX_FloatRect(0.f, 0.f, 1.f, 1.f));
452 }
453
TransformXDistance(float dx) const454 float CFX_Matrix::TransformXDistance(float dx) const {
455 float fx = a * dx;
456 float fy = b * dx;
457 return hypotf(fx, fy);
458 }
459
TransformDistance(float distance) const460 float CFX_Matrix::TransformDistance(float distance) const {
461 return distance * (GetXUnit() + GetYUnit()) / 2;
462 }
463
Transform(const CFX_PointF & point) const464 CFX_PointF CFX_Matrix::Transform(const CFX_PointF& point) const {
465 return CFX_PointF(a * point.x + c * point.y + e,
466 b * point.x + d * point.y + f);
467 }
468
TransformRect(const CFX_RectF & rect) const469 CFX_RectF CFX_Matrix::TransformRect(const CFX_RectF& rect) const {
470 CFX_FloatRect result_rect = TransformRect(rect.ToFloatRect());
471 return CFX_RectF(result_rect.left, result_rect.bottom, result_rect.Width(),
472 result_rect.Height());
473 }
474
TransformRect(const CFX_FloatRect & rect) const475 CFX_FloatRect CFX_Matrix::TransformRect(const CFX_FloatRect& rect) const {
476 std::array<CFX_PointF, 4> points = {{{rect.left, rect.top},
477 {rect.left, rect.bottom},
478 {rect.right, rect.top},
479 {rect.right, rect.bottom}}};
480 for (CFX_PointF& point : points) {
481 point = Transform(point);
482 }
483 float new_right = points[0].x;
484 float new_left = points[0].x;
485 float new_top = points[0].y;
486 float new_bottom = points[0].y;
487 for (size_t i = 1; i < points.size(); i++) {
488 new_right = std::max(new_right, points[i].x);
489 new_left = std::min(new_left, points[i].x);
490 new_top = std::max(new_top, points[i].y);
491 new_bottom = std::min(new_bottom, points[i].y);
492 }
493
494 return CFX_FloatRect(new_left, new_bottom, new_right, new_top);
495 }
496