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2 | 2 | ============================================================================== |
3 | 3 |
|
4 | 4 | This file is part of the YUP library. |
5 | | - Copyright (c) 2024 - [email protected] |
| 5 | + Copyright (c) 2025 - [email protected] |
6 | 6 |
|
7 | 7 | YUP is an open source library subject to open-source licensing. |
8 | 8 |
|
@@ -207,6 +207,111 @@ class YUP_API AffineTransform |
207 | 207 | return { 1.0f, 0.0f, 0.0f, 0.0f, 1.0f, 0.0f }; |
208 | 208 | } |
209 | 209 |
|
| 210 | + //============================================================================== |
| 211 | + /** Check if the transformation only contains translation |
| 212 | +
|
| 213 | + Checks if the AffineTransform object represents only a translation transformation, |
| 214 | + with no rotation, scaling, or shearing applied. |
| 215 | +
|
| 216 | + @return True if this is only a translation transformation, false otherwise. |
| 217 | + */ |
| 218 | + constexpr bool isOnlyTranslation() const noexcept |
| 219 | + { |
| 220 | + return approximatelyEqual (scaleX, 1.0f) |
| 221 | + && approximatelyEqual (shearX, 0.0f) |
| 222 | + && approximatelyEqual (shearY, 0.0f) |
| 223 | + && approximatelyEqual (scaleY, 1.0f); |
| 224 | + } |
| 225 | + |
| 226 | + /** Check if the transformation only contains rotation |
| 227 | +
|
| 228 | + Checks if the AffineTransform object represents only a rotation transformation, |
| 229 | + with no translation, scaling, or shearing applied. A pure rotation maintains unit |
| 230 | + determinant and has orthonormal basis vectors. |
| 231 | +
|
| 232 | + @return True if this is only a rotation transformation, false otherwise. |
| 233 | + */ |
| 234 | + constexpr bool isOnlyRotation() const noexcept |
| 235 | + { |
| 236 | + if (! approximatelyEqual (translateX, 0.0f) || ! approximatelyEqual (translateY, 0.0f)) |
| 237 | + return false; |
| 238 | + |
| 239 | + const float det = getDeterminant(); |
| 240 | + const float col1LengthSq = scaleX * scaleX + shearY * shearY; |
| 241 | + const float col2LengthSq = shearX * shearX + scaleY * scaleY; |
| 242 | + |
| 243 | + constexpr float rotationTolerance = 0.0001f; |
| 244 | + return yup_abs (det - 1.0f) < rotationTolerance |
| 245 | + && yup_abs (col1LengthSq - 1.0f) < rotationTolerance |
| 246 | + && yup_abs (col2LengthSq - 1.0f) < rotationTolerance; |
| 247 | + } |
| 248 | + |
| 249 | + /** Check if the transformation only contains uniform scaling |
| 250 | +
|
| 251 | + Checks if the AffineTransform object represents only a uniform scaling transformation, |
| 252 | + with no translation, rotation, or shearing applied. Uniform scaling has equal scale |
| 253 | + factors in both x and y directions. |
| 254 | +
|
| 255 | + @return True if this is only a uniform scaling transformation, false otherwise. |
| 256 | + */ |
| 257 | + constexpr bool isOnlyUniformScaling() const noexcept |
| 258 | + { |
| 259 | + return approximatelyEqual (translateX, 0.0f) |
| 260 | + && approximatelyEqual (translateY, 0.0f) |
| 261 | + && approximatelyEqual (shearX, 0.0f) |
| 262 | + && approximatelyEqual (shearY, 0.0f) |
| 263 | + && approximatelyEqual (scaleX, scaleY) |
| 264 | + && ! approximatelyEqual (scaleX, 1.0f); |
| 265 | + } |
| 266 | + |
| 267 | + /** Check if the transformation only contains non-uniform scaling |
| 268 | +
|
| 269 | + Checks if the AffineTransform object represents only a non-uniform scaling transformation, |
| 270 | + with no translation, rotation, or shearing applied. Non-uniform scaling has different |
| 271 | + scale factors in x and y directions. |
| 272 | +
|
| 273 | + @return True if this is only a non-uniform scaling transformation, false otherwise. |
| 274 | + */ |
| 275 | + constexpr bool isOnlyNonUniformScaling() const noexcept |
| 276 | + { |
| 277 | + return approximatelyEqual (translateX, 0.0f) |
| 278 | + && approximatelyEqual (translateY, 0.0f) |
| 279 | + && approximatelyEqual (shearX, 0.0f) |
| 280 | + && approximatelyEqual (shearY, 0.0f) |
| 281 | + && ! approximatelyEqual (scaleX, scaleY) |
| 282 | + && ! approximatelyEqual (scaleX, 1.0f) |
| 283 | + && ! approximatelyEqual (scaleY, 1.0f); |
| 284 | + } |
| 285 | + |
| 286 | + /** Check if the transformation only contains scaling (uniform or non-uniform) |
| 287 | +
|
| 288 | + Checks if the AffineTransform object represents only a scaling transformation, |
| 289 | + with no translation, rotation, or shearing applied. |
| 290 | +
|
| 291 | + @return True if this is only a scaling transformation, false otherwise. |
| 292 | + */ |
| 293 | + constexpr bool isOnlyScaling() const noexcept |
| 294 | + { |
| 295 | + return isOnlyUniformScaling() || isOnlyNonUniformScaling(); |
| 296 | + } |
| 297 | + |
| 298 | + /** Check if the transformation only contains shearing |
| 299 | +
|
| 300 | + Checks if the AffineTransform object represents only a shearing transformation, |
| 301 | + with no translation, rotation, or scaling applied. A pure shear maintains unit |
| 302 | + scale factors. |
| 303 | +
|
| 304 | + @return True if this is only a shearing transformation, false otherwise. |
| 305 | + */ |
| 306 | + constexpr bool isOnlyShearing() const noexcept |
| 307 | + { |
| 308 | + return approximatelyEqual (translateX, 0.0f) |
| 309 | + && approximatelyEqual (translateY, 0.0f) |
| 310 | + && approximatelyEqual (scaleX, 1.0f) |
| 311 | + && approximatelyEqual (scaleY, 1.0f) |
| 312 | + && (! approximatelyEqual (shearX, 0.0f) || ! approximatelyEqual (shearY, 0.0f)); |
| 313 | + } |
| 314 | + |
210 | 315 | //============================================================================== |
211 | 316 | /** Create an inverted transformation |
212 | 317 |
|
@@ -654,14 +759,21 @@ class YUP_API AffineTransform |
654 | 759 | */ |
655 | 760 | [[nodiscard]] constexpr AffineTransform prependedBy (const AffineTransform& other) const noexcept |
656 | 761 | { |
657 | | - return { |
658 | | - scaleX * other.scaleX + shearX * other.shearY, |
659 | | - shearX * other.scaleX + scaleY * other.shearY, |
660 | | - translateX * other.scaleX + translateY * other.shearY + other.translateX, |
661 | | - scaleX * other.shearX + shearY * other.scaleY, |
662 | | - shearX * other.shearX + scaleY * other.scaleY, |
663 | | - translateX * other.shearX + translateY * other.scaleY + other.translateY |
664 | | - }; |
| 762 | + return other.followedBy (*this); |
| 763 | + } |
| 764 | + |
| 765 | + //============================================================================== |
| 766 | + /** Create a transformation that follows another. |
| 767 | +
|
| 768 | + Creates a new AffineTransform object that represents this transformation followed by another specified AffineTransform. |
| 769 | +
|
| 770 | + @param other The AffineTransform to follow this one. |
| 771 | +
|
| 772 | + @return A new AffineTransform object representing the combined transformation. |
| 773 | + */ |
| 774 | + [[nodiscard]] constexpr AffineTransform operator* (const AffineTransform& other) const noexcept |
| 775 | + { |
| 776 | + return followedBy (other); |
665 | 777 | } |
666 | 778 |
|
667 | 779 | //============================================================================== |
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