| 7fd59977 |
1 | // File: ElCLib.cxx |
| 2 | // Created: Mon Sep 9 17:13:23 1991 |
| 3 | // Author: Michel Chauvat |
| 4 | // Evolutions JCV Dec 1991 ajout de calculs de derivees et traitement |
| 5 | // d'entites 2d |
| 6 | // JCV Mars 1992 ajout method SetLinearForm |
| 7 | |
| 8 | #define No_Standard_OutOfRange |
| 9 | |
| 10 | #include <ElCLib.ixx> |
| 11 | #include <gp.hxx> |
| 12 | |
| 13 | static Standard_Real PIPI = PI + PI; |
| 14 | |
| 15 | //======================================================================= |
| 16 | //function : InPeriod |
| 17 | //purpose : |
| 18 | //======================================================================= |
| 19 | |
| 20 | Standard_Real ElCLib::InPeriod(const Standard_Real U, |
| 21 | const Standard_Real UFirst, |
| 22 | const Standard_Real ULast) |
| 23 | { |
| 24 | Standard_Real u = U, period = ULast - UFirst; |
| 25 | Standard_Real Eps = Epsilon(period); |
| 26 | |
| 27 | while (Eps < (UFirst-u)) u += period; |
| 28 | while (Eps > (ULast -u)) u -= period; |
| 29 | if ( u < UFirst) u = UFirst; |
| 30 | return u; |
| 31 | } |
| 32 | |
| 33 | //======================================================================= |
| 34 | //function : AdjustPeriodic |
| 35 | //purpose : |
| 36 | //======================================================================= |
| 37 | |
| 38 | void ElCLib::AdjustPeriodic(const Standard_Real UFirst, |
| 39 | const Standard_Real ULast, |
| 40 | const Standard_Real Preci, |
| 41 | Standard_Real& U1, |
| 42 | Standard_Real& U2) |
| 43 | { |
| 44 | Standard_Real period = ULast - UFirst; |
| 45 | U1 -= Floor((U1-UFirst)/period) * period; |
| 46 | if (ULast - U1 < Preci) U1 -= period; |
| 47 | U2 -= Floor((U2-U1)/period) * period; |
| 48 | if (U2 - U1 < Preci) U2 += period; |
| 49 | } |
| 50 | |
| 51 | //======================================================================= |
| 52 | //function : LineValue |
| 53 | //purpose : |
| 54 | //======================================================================= |
| 55 | |
| 56 | gp_Pnt ElCLib::LineValue (const Standard_Real U, |
| 57 | const gp_Ax1& Pos) |
| 58 | { |
| 59 | const gp_XYZ& ZDir = Pos.Direction().XYZ(); |
| 60 | const gp_XYZ& PLoc = Pos.Location ().XYZ(); |
| 61 | return gp_Pnt(U * ZDir.X() + PLoc.X(), |
| 62 | U * ZDir.Y() + PLoc.Y(), |
| 63 | U * ZDir.Z() + PLoc.Z()); |
| 64 | } |
| 65 | |
| 66 | //======================================================================= |
| 67 | //function : CircleValue |
| 68 | //purpose : |
| 69 | //======================================================================= |
| 70 | |
| 71 | gp_Pnt ElCLib::CircleValue (const Standard_Real U, |
| 72 | const gp_Ax2& Pos, |
| 73 | const Standard_Real Radius) |
| 74 | { |
| 75 | const gp_XYZ& XDir = Pos.XDirection().XYZ(); |
| 76 | const gp_XYZ& YDir = Pos.YDirection().XYZ(); |
| 77 | const gp_XYZ& PLoc = Pos.Location ().XYZ(); |
| 78 | Standard_Real A1 = Radius * cos(U); |
| 79 | Standard_Real A2 = Radius * sin(U); |
| 80 | return gp_Pnt(A1 * XDir.X() + A2 * YDir.X() + PLoc.X(), |
| 81 | A1 * XDir.Y() + A2 * YDir.Y() + PLoc.Y(), |
| 82 | A1 * XDir.Z() + A2 * YDir.Z() + PLoc.Z()); |
| 83 | } |
| 84 | |
| 85 | //======================================================================= |
| 86 | //function : EllipseValue |
| 87 | //purpose : |
| 88 | //======================================================================= |
| 89 | |
| 90 | gp_Pnt ElCLib::EllipseValue (const Standard_Real U, |
| 91 | const gp_Ax2& Pos, |
| 92 | const Standard_Real MajorRadius, |
| 93 | const Standard_Real MinorRadius) |
| 94 | { |
| 95 | const gp_XYZ& XDir = Pos.XDirection().XYZ(); |
| 96 | const gp_XYZ& YDir = Pos.YDirection().XYZ(); |
| 97 | const gp_XYZ& PLoc = Pos.Location ().XYZ(); |
| 98 | Standard_Real A1 = MajorRadius * cos(U); |
| 99 | Standard_Real A2 = MinorRadius * sin(U); |
| 100 | return gp_Pnt(A1 * XDir.X() + A2 * YDir.X() + PLoc.X(), |
| 101 | A1 * XDir.Y() + A2 * YDir.Y() + PLoc.Y(), |
| 102 | A1 * XDir.Z() + A2 * YDir.Z() + PLoc.Z()); |
| 103 | } |
| 104 | |
| 105 | //======================================================================= |
| 106 | //function : HyperbolaValue |
| 107 | //purpose : |
| 108 | //======================================================================= |
| 109 | |
| 110 | gp_Pnt ElCLib::HyperbolaValue (const Standard_Real U, |
| 111 | const gp_Ax2& Pos, |
| 112 | const Standard_Real MajorRadius, |
| 113 | const Standard_Real MinorRadius) |
| 114 | { |
| 115 | const gp_XYZ& XDir = Pos.XDirection().XYZ(); |
| 116 | const gp_XYZ& YDir = Pos.YDirection().XYZ(); |
| 117 | const gp_XYZ& PLoc = Pos.Location ().XYZ(); |
| 118 | Standard_Real A1 = MajorRadius * cosh(U); |
| 119 | Standard_Real A2 = MinorRadius * sinh(U); |
| 120 | return gp_Pnt(A1 * XDir.X() + A2 * YDir.X() + PLoc.X(), |
| 121 | A1 * XDir.Y() + A2 * YDir.Y() + PLoc.Y(), |
| 122 | A1 * XDir.Z() + A2 * YDir.Z() + PLoc.Z()); |
| 123 | } |
| 124 | |
| 125 | //======================================================================= |
| 126 | //function : ParabolaValue |
| 127 | //purpose : |
| 128 | //======================================================================= |
| 129 | |
| 130 | gp_Pnt ElCLib::ParabolaValue (const Standard_Real U, |
| 131 | const gp_Ax2& Pos, |
| 132 | const Standard_Real Focal) |
| 133 | { |
| 134 | if (Focal == 0.0) { |
| 135 | const gp_XYZ& XDir = Pos.XDirection().XYZ(); |
| 136 | const gp_XYZ& PLoc = Pos.Location ().XYZ(); |
| 137 | return gp_Pnt(U * XDir.X() + PLoc.X(), |
| 138 | U * XDir.Y() + PLoc.Y(), |
| 139 | U * XDir.Z() + PLoc.Z()); |
| 140 | } |
| 141 | const gp_XYZ& XDir = Pos.XDirection().XYZ(); |
| 142 | const gp_XYZ& YDir = Pos.YDirection().XYZ(); |
| 143 | const gp_XYZ& PLoc = Pos.Location ().XYZ(); |
| 144 | Standard_Real A1 = U * U / (4.0 * Focal); |
| 145 | return gp_Pnt(A1 * XDir.X() + U * YDir.X() + PLoc.X(), |
| 146 | A1 * XDir.Y() + U * YDir.Y() + PLoc.Y(), |
| 147 | A1 * XDir.Z() + U * YDir.Z() + PLoc.Z()); |
| 148 | } |
| 149 | |
| 150 | //======================================================================= |
| 151 | //function : LineD1 |
| 152 | //purpose : |
| 153 | //======================================================================= |
| 154 | |
| 155 | void ElCLib::LineD1 (const Standard_Real U, |
| 156 | const gp_Ax1& Pos, |
| 157 | gp_Pnt& P, |
| 158 | gp_Vec& V1) |
| 159 | { |
| 160 | gp_XYZ Coord = Pos.Direction().XYZ(); |
| 161 | V1.SetXYZ (Coord); |
| 162 | Coord.SetLinearForm (U, Coord, Pos.Location().XYZ()); |
| 163 | P.SetXYZ (Coord); |
| 164 | } |
| 165 | |
| 166 | //======================================================================= |
| 167 | //function : CircleD1 |
| 168 | //purpose : |
| 169 | //======================================================================= |
| 170 | |
| 171 | void ElCLib::CircleD1 (const Standard_Real U, |
| 172 | const gp_Ax2& Pos, |
| 173 | const Standard_Real Radius, |
| 174 | gp_Pnt& P, |
| 175 | gp_Vec& V1) |
| 176 | { |
| 177 | Standard_Real Xc = Radius * Cos (U); |
| 178 | Standard_Real Yc = Radius * Sin (U); |
| 179 | gp_XYZ Coord0; |
| 180 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 181 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 182 | //Point courant : |
| 183 | Coord0.SetLinearForm (Xc, Coord1, Yc, Coord2, Pos.Location().XYZ()); |
| 184 | P.SetXYZ (Coord0); |
| 185 | //D1 : |
| 186 | Coord0.SetLinearForm (-Yc, Coord1, Xc, Coord2); |
| 187 | V1.SetXYZ (Coord0); |
| 188 | } |
| 189 | |
| 190 | //======================================================================= |
| 191 | //function : EllipseD1 |
| 192 | //purpose : |
| 193 | //======================================================================= |
| 194 | |
| 195 | void ElCLib::EllipseD1 (const Standard_Real U, |
| 196 | const gp_Ax2& Pos, |
| 197 | const Standard_Real MajorRadius, |
| 198 | const Standard_Real MinorRadius, |
| 199 | gp_Pnt& P, |
| 200 | gp_Vec& V1) |
| 201 | { |
| 202 | Standard_Real Xc = Cos (U); |
| 203 | Standard_Real Yc = Sin (U); |
| 204 | gp_XYZ Coord0; |
| 205 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 206 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 207 | //Point courant : |
| 208 | Coord0.SetLinearForm (Xc*MajorRadius, Coord1, |
| 209 | Yc*MinorRadius, Coord2, |
| 210 | Pos.Location().XYZ()); |
| 211 | P.SetXYZ (Coord0); |
| 212 | //D1 : |
| 213 | Coord0.SetLinearForm (-Yc*MajorRadius, Coord1, Xc*MinorRadius, Coord2); |
| 214 | V1.SetXYZ (Coord0); |
| 215 | } |
| 216 | |
| 217 | //======================================================================= |
| 218 | //function : HyperbolaD1 |
| 219 | //purpose : |
| 220 | //======================================================================= |
| 221 | |
| 222 | void ElCLib::HyperbolaD1 (const Standard_Real U, |
| 223 | const gp_Ax2& Pos, |
| 224 | const Standard_Real MajorRadius, |
| 225 | const Standard_Real MinorRadius, |
| 226 | gp_Pnt& P, |
| 227 | gp_Vec& V1) |
| 228 | { |
| 229 | Standard_Real Xc = Cosh (U); |
| 230 | Standard_Real Yc = Sinh (U); |
| 231 | gp_XYZ Coord0; |
| 232 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 233 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 234 | //Point courant : |
| 235 | Coord0.SetLinearForm (Xc*MajorRadius, Coord1, |
| 236 | Yc*MinorRadius, Coord2, |
| 237 | Pos.Location().XYZ()); |
| 238 | P.SetXYZ (Coord0); |
| 239 | //D1 : |
| 240 | Coord0.SetLinearForm (Yc*MajorRadius, Coord1, Xc*MinorRadius, Coord2); |
| 241 | V1.SetXYZ (Coord0); |
| 242 | } |
| 243 | |
| 244 | //======================================================================= |
| 245 | //function : ParabolaD1 |
| 246 | //purpose : |
| 247 | //======================================================================= |
| 248 | |
| 249 | void ElCLib::ParabolaD1 (const Standard_Real U, |
| 250 | const gp_Ax2& Pos, |
| 251 | const Standard_Real Focal, |
| 252 | gp_Pnt& P, |
| 253 | gp_Vec& V1) |
| 254 | { |
| 255 | gp_XYZ Coord0; |
| 256 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 257 | if (Focal == 0.0) { //Parabole degenere en une droite |
| 258 | V1.SetXYZ (Coord1); |
| 259 | Coord1.Multiply (U); |
| 260 | Coord1.Add (Pos.Location().XYZ()); |
| 261 | P.SetXYZ (Coord1); |
| 262 | } |
| 263 | else { |
| 264 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 265 | Coord0.SetLinearForm (U / (2.0 * Focal), Coord1, Coord2); |
| 266 | V1.SetXYZ (Coord0); |
| 267 | Coord0.SetLinearForm ((U * U) / (4.0 * Focal), Coord1, |
| 268 | U, Coord2, |
| 269 | Pos.Location().XYZ()); |
| 270 | P.SetXYZ (Coord0); |
| 271 | } |
| 272 | } |
| 273 | |
| 274 | //======================================================================= |
| 275 | //function : CircleD2 |
| 276 | //purpose : |
| 277 | //======================================================================= |
| 278 | |
| 279 | void ElCLib::CircleD2 (const Standard_Real U, |
| 280 | const gp_Ax2& Pos, |
| 281 | const Standard_Real Radius, |
| 282 | gp_Pnt& P, |
| 283 | gp_Vec& V1, |
| 284 | gp_Vec& V2) |
| 285 | { |
| 286 | Standard_Real Xc = Radius * cos(U); |
| 287 | Standard_Real Yc = Radius * sin(U); |
| 288 | gp_XYZ Coord0; |
| 289 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 290 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 291 | //Point courant : |
| 292 | Coord0.SetLinearForm (Xc, Coord1, Yc, Coord2, Pos.Location().XYZ()); |
| 293 | P.SetXYZ (Coord0); |
| 294 | //D1 : |
| 295 | Coord0.SetLinearForm (-Yc, Coord1, Xc, Coord2); |
| 296 | V1.SetXYZ (Coord0); |
| 297 | //D2 : |
| 298 | Coord0.SetLinearForm (-Xc, Coord1, -Yc, Coord2); |
| 299 | V2.SetXYZ (Coord0); |
| 300 | } |
| 301 | |
| 302 | //======================================================================= |
| 303 | //function : EllipseD2 |
| 304 | //purpose : |
| 305 | //======================================================================= |
| 306 | |
| 307 | void ElCLib::EllipseD2 (const Standard_Real U, |
| 308 | const gp_Ax2& Pos, |
| 309 | const Standard_Real MajorRadius, |
| 310 | const Standard_Real MinorRadius, |
| 311 | gp_Pnt& P, |
| 312 | gp_Vec& V1, |
| 313 | gp_Vec& V2) |
| 314 | { |
| 315 | Standard_Real Xc = cos(U); |
| 316 | Standard_Real Yc = sin(U); |
| 317 | gp_XYZ Coord0; |
| 318 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 319 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 320 | //Point courant : |
| 321 | Coord0.SetLinearForm (Xc*MajorRadius, Coord1, |
| 322 | Yc*MinorRadius, Coord2, |
| 323 | Pos.Location().XYZ()); |
| 324 | P.SetXYZ (Coord0); |
| 325 | //D1 : |
| 326 | Coord0.SetLinearForm (-Yc*MajorRadius, Coord1, Xc*MinorRadius, Coord2); |
| 327 | V1.SetXYZ (Coord0); |
| 328 | //D2 : |
| 329 | Coord0.SetLinearForm (-Xc*MajorRadius, Coord1, -Yc*MinorRadius, Coord2); |
| 330 | V2.SetXYZ (Coord0); |
| 331 | } |
| 332 | |
| 333 | //======================================================================= |
| 334 | //function : HyperbolaD2 |
| 335 | //purpose : |
| 336 | //======================================================================= |
| 337 | |
| 338 | void ElCLib::HyperbolaD2 (const Standard_Real U, |
| 339 | const gp_Ax2& Pos, |
| 340 | const Standard_Real MajorRadius, |
| 341 | const Standard_Real MinorRadius, |
| 342 | gp_Pnt& P, |
| 343 | gp_Vec& V1, |
| 344 | gp_Vec& V2) |
| 345 | { |
| 346 | Standard_Real Xc = cosh(U); |
| 347 | Standard_Real Yc = sinh(U); |
| 348 | gp_XYZ Coord0; |
| 349 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 350 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 351 | |
| 352 | //Point courant et D2: |
| 353 | Coord0.SetLinearForm (Xc*MajorRadius, Coord1, Yc*MinorRadius, Coord2); |
| 354 | V2.SetXYZ (Coord0); |
| 355 | Coord0.Add (Pos.Location().XYZ()); |
| 356 | P.SetXYZ (Coord0); |
| 357 | //D1 : |
| 358 | Coord0.SetLinearForm (Yc*MajorRadius, Coord1, Xc*MinorRadius, Coord2); |
| 359 | V1.SetXYZ (Coord0); |
| 360 | } |
| 361 | |
| 362 | //======================================================================= |
| 363 | //function : ParabolaD2 |
| 364 | //purpose : |
| 365 | //======================================================================= |
| 366 | |
| 367 | void ElCLib::ParabolaD2 (const Standard_Real U, |
| 368 | const gp_Ax2& Pos, |
| 369 | const Standard_Real Focal, |
| 370 | gp_Pnt& P, |
| 371 | gp_Vec& V1, |
| 372 | gp_Vec& V2) |
| 373 | { |
| 374 | gp_XYZ Coord0(0.0, 0.0, 0.0); |
| 375 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 376 | if (Focal == 0.0) { |
| 377 | V2.SetCoord (0.0, 0.0, 0.0); |
| 378 | V1.SetXYZ (Coord1); |
| 379 | Coord1.Multiply (U); |
| 380 | Coord1.Add (Pos.Location().XYZ()); |
| 381 | P.SetXYZ (Coord1);//was: P.SetXYZ (Coord0); |
| 382 | |
| 383 | } |
| 384 | else { |
| 385 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 386 | Coord0.SetLinearForm ((U * U) / (4.0 * Focal), Coord1, |
| 387 | U, Coord2, |
| 388 | Pos.Location().XYZ()); |
| 389 | P.SetXYZ (Coord0); |
| 390 | Coord0.SetLinearForm (U / (2.0 * Focal), Coord1, Coord2); |
| 391 | V1.SetXYZ (Coord0); |
| 392 | Coord1.Multiply (1.0 / (2.0 * Focal)); |
| 393 | V2.SetXYZ (Coord1); |
| 394 | } |
| 395 | } |
| 396 | |
| 397 | //======================================================================= |
| 398 | //function : CircleD3 |
| 399 | //purpose : |
| 400 | //======================================================================= |
| 401 | |
| 402 | void ElCLib::CircleD3 (const Standard_Real U, |
| 403 | const gp_Ax2& Pos, |
| 404 | const Standard_Real Radius, |
| 405 | gp_Pnt& P, |
| 406 | gp_Vec& V1, |
| 407 | gp_Vec& V2, |
| 408 | gp_Vec& V3) |
| 409 | { |
| 410 | Standard_Real Xc = Radius * cos(U); |
| 411 | Standard_Real Yc = Radius * sin(U); |
| 412 | gp_XYZ Coord0; |
| 413 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 414 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 415 | //Point Courant : |
| 416 | Coord0.SetLinearForm (Xc, Coord1, Yc, Coord2, Pos.Location().XYZ()); |
| 417 | P.SetXYZ (Coord0); |
| 418 | //D1 : |
| 419 | Coord0.SetLinearForm (-Yc, Coord1, Xc, Coord2); |
| 420 | V1.SetXYZ (Coord0); |
| 421 | //D2 : |
| 422 | Coord0.SetLinearForm (-Xc, Coord1, -Yc, Coord2); |
| 423 | V2.SetXYZ (Coord0); |
| 424 | //D3 : |
| 425 | Coord0.SetLinearForm (Yc, Coord1, -Xc, Coord2); |
| 426 | V3.SetXYZ (Coord0); |
| 427 | } |
| 428 | |
| 429 | //======================================================================= |
| 430 | //function : EllipseD3 |
| 431 | //purpose : |
| 432 | //======================================================================= |
| 433 | |
| 434 | void ElCLib::EllipseD3 (const Standard_Real U, |
| 435 | const gp_Ax2& Pos, |
| 436 | const Standard_Real MajorRadius, |
| 437 | const Standard_Real MinorRadius, |
| 438 | gp_Pnt& P, |
| 439 | gp_Vec& V1, |
| 440 | gp_Vec& V2, |
| 441 | gp_Vec& V3) |
| 442 | { |
| 443 | Standard_Real Xc = cos(U); |
| 444 | Standard_Real Yc = sin(U); |
| 445 | gp_XYZ Coord0; |
| 446 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 447 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 448 | //Point Courant : |
| 449 | Coord0.SetLinearForm (Xc*MajorRadius, Coord1, |
| 450 | Yc*MinorRadius, Coord2, |
| 451 | Pos.Location().XYZ()); |
| 452 | P.SetXYZ (Coord0); |
| 453 | //D1 : |
| 454 | Coord0.SetLinearForm (-Yc*MajorRadius, Coord1, Xc*MinorRadius, Coord2); |
| 455 | V1.SetXYZ (Coord0); |
| 456 | //D2 : |
| 457 | Coord0.SetLinearForm (-Xc*MajorRadius, Coord1, -Yc*MinorRadius, Coord2); |
| 458 | V2.SetXYZ (Coord0); |
| 459 | //D3 |
| 460 | Coord0.SetLinearForm (Yc*MajorRadius, Coord1, -Xc*MinorRadius, Coord2); |
| 461 | V3.SetXYZ (Coord0); |
| 462 | } |
| 463 | |
| 464 | //======================================================================= |
| 465 | //function : HyperbolaD3 |
| 466 | //purpose : |
| 467 | //======================================================================= |
| 468 | |
| 469 | void ElCLib::HyperbolaD3 (const Standard_Real U, |
| 470 | const gp_Ax2& Pos, |
| 471 | const Standard_Real MajorRadius, |
| 472 | const Standard_Real MinorRadius, |
| 473 | gp_Pnt& P, |
| 474 | gp_Vec& V1, |
| 475 | gp_Vec& V2, |
| 476 | gp_Vec& V3) |
| 477 | { |
| 478 | Standard_Real Xc = cosh(U); |
| 479 | Standard_Real Yc = sinh(U); |
| 480 | gp_XYZ Coord0; |
| 481 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 482 | gp_XYZ Coord2 (Pos.YDirection().XYZ()); |
| 483 | //Point courant et D2 : |
| 484 | Coord0.SetLinearForm (Xc*MajorRadius, Coord1, Yc*MinorRadius, Coord2); |
| 485 | V2.SetXYZ (Coord0); |
| 486 | Coord0.Add (Pos.Location().XYZ()); |
| 487 | P.SetXYZ (Coord0); |
| 488 | //D1 et D3 : |
| 489 | Coord0.SetLinearForm (Yc*MajorRadius, Coord1, Xc*MinorRadius, Coord2); |
| 490 | V1.SetXYZ (Coord0); |
| 491 | V3.SetXYZ (Coord0); |
| 492 | } |
| 493 | |
| 494 | //======================================================================= |
| 495 | //function : LineValue |
| 496 | //purpose : |
| 497 | //======================================================================= |
| 498 | |
| 499 | gp_Pnt2d ElCLib::LineValue (const Standard_Real U, |
| 500 | const gp_Ax2d& Pos) |
| 501 | { |
| 502 | const gp_XY& ZDir = Pos.Direction().XY(); |
| 503 | const gp_XY& PLoc = Pos.Location ().XY(); |
| 504 | return gp_Pnt2d(U * ZDir.X() + PLoc.X(), |
| 505 | U * ZDir.Y() + PLoc.Y()); |
| 506 | } |
| 507 | |
| 508 | //======================================================================= |
| 509 | //function : CircleValue |
| 510 | //purpose : |
| 511 | //======================================================================= |
| 512 | |
| 513 | gp_Pnt2d ElCLib::CircleValue (const Standard_Real U, |
| 514 | const gp_Ax22d& Pos, |
| 515 | const Standard_Real Radius) |
| 516 | { |
| 517 | const gp_XY& XDir = Pos.XDirection().XY(); |
| 518 | const gp_XY& YDir = Pos.YDirection().XY(); |
| 519 | const gp_XY& PLoc = Pos.Location ().XY(); |
| 520 | Standard_Real A1 = Radius * cos(U); |
| 521 | Standard_Real A2 = Radius * sin(U); |
| 522 | return gp_Pnt2d(A1 * XDir.X() + A2 * YDir.X() + PLoc.X(), |
| 523 | A1 * XDir.Y() + A2 * YDir.Y() + PLoc.Y()); |
| 524 | } |
| 525 | |
| 526 | //======================================================================= |
| 527 | //function : EllipseValue |
| 528 | //purpose : |
| 529 | //======================================================================= |
| 530 | |
| 531 | gp_Pnt2d ElCLib::EllipseValue (const Standard_Real U, |
| 532 | const gp_Ax22d& Pos, |
| 533 | const Standard_Real MajorRadius, |
| 534 | const Standard_Real MinorRadius) |
| 535 | { |
| 536 | const gp_XY& XDir = Pos.XDirection().XY(); |
| 537 | const gp_XY& YDir = Pos.YDirection().XY(); |
| 538 | const gp_XY& PLoc = Pos.Location ().XY(); |
| 539 | Standard_Real A1 = MajorRadius * cos(U); |
| 540 | Standard_Real A2 = MinorRadius * sin(U); |
| 541 | return gp_Pnt2d(A1 * XDir.X() + A2 * YDir.X() + PLoc.X(), |
| 542 | A1 * XDir.Y() + A2 * YDir.Y() + PLoc.Y()); |
| 543 | } |
| 544 | |
| 545 | //======================================================================= |
| 546 | //function : HyperbolaValue |
| 547 | //purpose : |
| 548 | //======================================================================= |
| 549 | |
| 550 | gp_Pnt2d ElCLib::HyperbolaValue (const Standard_Real U, |
| 551 | const gp_Ax22d& Pos, |
| 552 | const Standard_Real MajorRadius, |
| 553 | const Standard_Real MinorRadius) |
| 554 | { |
| 555 | const gp_XY& XDir = Pos.XDirection().XY(); |
| 556 | const gp_XY& YDir = Pos.YDirection().XY(); |
| 557 | const gp_XY& PLoc = Pos.Location ().XY(); |
| 558 | Standard_Real A1 = MajorRadius * cosh(U); |
| 559 | Standard_Real A2 = MinorRadius * sinh(U); |
| 560 | return gp_Pnt2d(A1 * XDir.X() + A2 * YDir.X() + PLoc.X(), |
| 561 | A1 * XDir.Y() + A2 * YDir.Y() + PLoc.Y()); |
| 562 | } |
| 563 | |
| 564 | //======================================================================= |
| 565 | //function : ParabolaValue |
| 566 | //purpose : |
| 567 | //======================================================================= |
| 568 | |
| 569 | gp_Pnt2d ElCLib::ParabolaValue (const Standard_Real U, |
| 570 | const gp_Ax22d& Pos, |
| 571 | const Standard_Real Focal) |
| 572 | { |
| 573 | if (Focal == 0.0) { |
| 574 | const gp_XY& XDir = Pos.XDirection().XY(); |
| 575 | const gp_XY& PLoc = Pos.Location ().XY(); |
| 576 | return gp_Pnt2d(U * XDir.X() + PLoc.X(), |
| 577 | U * XDir.Y() + PLoc.Y()); |
| 578 | } |
| 579 | const gp_XY& XDir = Pos.XDirection().XY(); |
| 580 | const gp_XY& YDir = Pos.YDirection().XY(); |
| 581 | const gp_XY& PLoc = Pos.Location ().XY(); |
| 582 | Standard_Real A1 = U * U / (4.0 * Focal); |
| 583 | return gp_Pnt2d(A1 * XDir.X() + U * YDir.X() + PLoc.X(), |
| 584 | A1 * XDir.Y() + U * YDir.Y() + PLoc.Y()); |
| 585 | } |
| 586 | |
| 587 | //======================================================================= |
| 588 | //function : LineD1 |
| 589 | //purpose : |
| 590 | //======================================================================= |
| 591 | |
| 592 | void ElCLib::LineD1(const Standard_Real U, |
| 593 | const gp_Ax2d& Pos, |
| 594 | gp_Pnt2d& P, |
| 595 | gp_Vec2d& V1) |
| 596 | { |
| 597 | gp_XY Coord = Pos.Direction().XY(); |
| 598 | V1.SetXY (Coord); |
| 599 | Coord.SetLinearForm (U, Coord, Pos.Location().XY()); |
| 600 | P.SetXY (Coord); |
| 601 | } |
| 602 | |
| 603 | //======================================================================= |
| 604 | //function : CircleD1 |
| 605 | //purpose : |
| 606 | //======================================================================= |
| 607 | |
| 608 | void ElCLib::CircleD1 (const Standard_Real U, |
| 609 | const gp_Ax22d& Pos, |
| 610 | const Standard_Real Radius, |
| 611 | gp_Pnt2d& P, |
| 612 | gp_Vec2d& V1) |
| 613 | { |
| 614 | gp_XY Vxy; |
| 615 | gp_XY Xdir (Pos.XDirection().XY()); |
| 616 | gp_XY Ydir (Pos.YDirection().XY()); |
| 617 | Standard_Real Xc = Radius * cos(U); |
| 618 | Standard_Real Yc = Radius * sin(U); |
| 619 | //Point courant : |
| 620 | Vxy.SetLinearForm (Xc, Xdir, Yc, Ydir, Pos.Location().XY()); |
| 621 | P.SetXY (Vxy); |
| 622 | //V1 : |
| 623 | Vxy.SetLinearForm (-Yc, Xdir, Xc, Ydir); |
| 624 | V1.SetXY (Vxy); |
| 625 | } |
| 626 | |
| 627 | //======================================================================= |
| 628 | //function : EllipseD1 |
| 629 | //purpose : |
| 630 | //======================================================================= |
| 631 | |
| 632 | void ElCLib::EllipseD1 (const Standard_Real U, |
| 633 | const gp_Ax22d& Pos, |
| 634 | const Standard_Real MajorRadius, |
| 635 | const Standard_Real MinorRadius, |
| 636 | gp_Pnt2d& P, |
| 637 | gp_Vec2d& V1) |
| 638 | { |
| 639 | gp_XY Vxy; |
| 640 | gp_XY Xdir ((Pos.XDirection()).XY()); |
| 641 | gp_XY Ydir ((Pos.YDirection()).XY()); |
| 642 | Standard_Real Xc = cos(U); |
| 643 | Standard_Real Yc = sin(U); |
| 644 | //Point courant : |
| 645 | Vxy.SetLinearForm (Xc*MajorRadius, Xdir, |
| 646 | Yc*MinorRadius, Ydir, |
| 647 | Pos.Location().XY()); |
| 648 | P.SetXY (Vxy); |
| 649 | |
| 650 | //V1 : |
| 651 | Vxy.SetLinearForm (-Yc*MajorRadius, Xdir, Xc*MinorRadius, Ydir); |
| 652 | V1.SetXY (Vxy); |
| 653 | } |
| 654 | |
| 655 | //======================================================================= |
| 656 | //function : HyperbolaD1 |
| 657 | //purpose : |
| 658 | //======================================================================= |
| 659 | |
| 660 | void ElCLib::HyperbolaD1 (const Standard_Real U, |
| 661 | const gp_Ax22d& Pos, |
| 662 | const Standard_Real MajorRadius, |
| 663 | const Standard_Real MinorRadius, |
| 664 | gp_Pnt2d& P, |
| 665 | gp_Vec2d& V1) |
| 666 | { |
| 667 | gp_XY Vxy; |
| 668 | gp_XY Xdir ((Pos.XDirection()).XY()); |
| 669 | gp_XY Ydir ((Pos.YDirection()).XY()); |
| 670 | Standard_Real Xc = cosh(U); |
| 671 | Standard_Real Yc = sinh(U); |
| 672 | //Point courant : |
| 673 | Vxy.SetLinearForm (Xc*MajorRadius, Xdir, |
| 674 | Yc*MinorRadius, Ydir, |
| 675 | Pos.Location().XY()); |
| 676 | P.SetXY (Vxy); |
| 677 | |
| 678 | //V1 : |
| 679 | Vxy.SetLinearForm (Yc*MajorRadius, Xdir, Xc*MinorRadius, Ydir); |
| 680 | V1.SetXY (Vxy); |
| 681 | } |
| 682 | |
| 683 | //======================================================================= |
| 684 | //function : ParabolaD1 |
| 685 | //purpose : |
| 686 | //======================================================================= |
| 687 | |
| 688 | void ElCLib::ParabolaD1 (const Standard_Real U, |
| 689 | const gp_Ax22d& Pos, |
| 690 | const Standard_Real Focal, |
| 691 | gp_Pnt2d& P, |
| 692 | gp_Vec2d& V1) |
| 693 | { |
| 694 | gp_XY Vxy; |
| 695 | gp_XY Xdir (Pos.XDirection().XY()); |
| 696 | if (Focal == 0.0) { //Parabole degenere en une droite |
| 697 | V1.SetXY (Xdir); |
| 698 | Vxy.SetLinearForm (U, Xdir, Pos.Location().XY()); |
| 699 | } |
| 700 | else { |
| 701 | gp_XY Ydir (Pos.YDirection().XY()); |
| 702 | Vxy.SetLinearForm (U / (2.0 * Focal), Xdir, Ydir); |
| 703 | V1.SetXY (Vxy); |
| 704 | Vxy.SetLinearForm ((U * U) / (4.0 * Focal), Xdir, |
| 705 | U, Ydir, |
| 706 | Pos.Location().XY()); |
| 707 | } |
| 708 | P.SetXY (Vxy); |
| 709 | } |
| 710 | |
| 711 | //======================================================================= |
| 712 | //function : CircleD2 |
| 713 | //purpose : |
| 714 | //======================================================================= |
| 715 | |
| 716 | void ElCLib::CircleD2 (const Standard_Real U, |
| 717 | const gp_Ax22d& Pos, |
| 718 | const Standard_Real Radius, |
| 719 | gp_Pnt2d& P, |
| 720 | gp_Vec2d& V1, |
| 721 | gp_Vec2d& V2) |
| 722 | { |
| 723 | gp_XY Vxy; |
| 724 | gp_XY Xdir (Pos.XDirection().XY()); |
| 725 | gp_XY Ydir (Pos.YDirection().XY()); |
| 726 | Standard_Real Xc = Radius * cos(U); |
| 727 | Standard_Real Yc = Radius * sin(U); |
| 728 | //V2 : |
| 729 | Vxy.SetLinearForm (Xc, Xdir, Yc, Ydir); |
| 730 | V2.SetXY (Vxy); |
| 731 | V2.Reverse(); |
| 732 | Vxy.Add (Pos.Location().XY()); |
| 733 | P.SetXY (Vxy); |
| 734 | |
| 735 | //V1 : |
| 736 | Vxy.SetLinearForm (-Yc, Xdir, Xc, Ydir); |
| 737 | V1.SetXY (Vxy); |
| 738 | } |
| 739 | |
| 740 | //======================================================================= |
| 741 | //function : EllipseD2 |
| 742 | //purpose : |
| 743 | //======================================================================= |
| 744 | |
| 745 | void ElCLib::EllipseD2 (const Standard_Real U, |
| 746 | const gp_Ax22d& Pos, |
| 747 | const Standard_Real MajorRadius, |
| 748 | const Standard_Real MinorRadius, |
| 749 | gp_Pnt2d& P, |
| 750 | gp_Vec2d& V1, |
| 751 | gp_Vec2d& V2) |
| 752 | { |
| 753 | gp_XY Vxy; |
| 754 | gp_XY Xdir (Pos.XDirection().XY()); |
| 755 | gp_XY Ydir (Pos.YDirection().XY()); |
| 756 | Standard_Real Xc = cos(U); |
| 757 | Standard_Real Yc = sin(U); |
| 758 | |
| 759 | //V2 : |
| 760 | Vxy.SetLinearForm (Xc*MajorRadius, Xdir, Yc*MinorRadius, Ydir); |
| 761 | V2.SetXY (Vxy); |
| 762 | V2.Reverse (); |
| 763 | |
| 764 | //Point courant : |
| 765 | Vxy.Add (Pos.Location().XY()); |
| 766 | P.SetXY (Vxy); |
| 767 | |
| 768 | //V1 : |
| 769 | Vxy.SetLinearForm (-Yc*MajorRadius, Xdir, Xc*MinorRadius, Ydir); |
| 770 | V1.SetXY (Vxy); |
| 771 | } |
| 772 | |
| 773 | //======================================================================= |
| 774 | //function : HyperbolaD2 |
| 775 | //purpose : |
| 776 | //======================================================================= |
| 777 | |
| 778 | void ElCLib::HyperbolaD2 (const Standard_Real U, |
| 779 | const gp_Ax22d& Pos, |
| 780 | const Standard_Real MajorRadius, |
| 781 | const Standard_Real MinorRadius, |
| 782 | gp_Pnt2d& P, |
| 783 | gp_Vec2d& V1, |
| 784 | gp_Vec2d& V2) |
| 785 | { |
| 786 | gp_XY Vxy; |
| 787 | gp_XY Xdir (Pos.XDirection().XY()); |
| 788 | gp_XY Ydir (Pos.YDirection().XY()); |
| 789 | Standard_Real Xc = cosh(U); |
| 790 | Standard_Real Yc = sinh(U); |
| 791 | |
| 792 | //V2 : |
| 793 | Vxy.SetLinearForm (Xc*MajorRadius, Xdir, Yc*MinorRadius, Ydir); |
| 794 | V2.SetXY (Vxy); |
| 795 | |
| 796 | //Point courant : |
| 797 | Vxy.Add (Pos.Location().XY()); |
| 798 | P.SetXY (Vxy); |
| 799 | |
| 800 | //V1 : |
| 801 | Vxy.SetLinearForm (Yc*MajorRadius, Xdir, Xc*MinorRadius, Ydir); |
| 802 | V1.SetXY (Vxy); |
| 803 | } |
| 804 | |
| 805 | //======================================================================= |
| 806 | //function : ParabolaD2 |
| 807 | //purpose : |
| 808 | //======================================================================= |
| 809 | |
| 810 | void ElCLib::ParabolaD2 (const Standard_Real U, |
| 811 | const gp_Ax22d& Pos, |
| 812 | const Standard_Real Focal, |
| 813 | gp_Pnt2d& P, |
| 814 | gp_Vec2d& V1, |
| 815 | gp_Vec2d& V2) |
| 816 | { |
| 817 | gp_XY Vxy; |
| 818 | gp_XY Xdir (Pos.XDirection().XY()); |
| 819 | if (Focal == 0.0) { |
| 820 | V2.SetCoord (0.0, 0.0); |
| 821 | V1.SetXY (Xdir); |
| 822 | Vxy.SetLinearForm (U, Xdir, Pos.Location().XY()); |
| 823 | } |
| 824 | else { |
| 825 | gp_XY Ydir (Pos.YDirection().XY()); |
| 826 | Vxy = Xdir.Multiplied (1.0 / (2.0 * Focal)); |
| 827 | V2.SetXY (Vxy); |
| 828 | Vxy.SetLinearForm (U, Vxy, Ydir); |
| 829 | V1.SetXY (Vxy); |
| 830 | Vxy.SetLinearForm (U * U / (4.0 * Focal), Xdir, U, Ydir); |
| 831 | Vxy.Add (Pos.Location().XY()); |
| 832 | } |
| 833 | P.SetXY (Vxy); |
| 834 | } |
| 835 | |
| 836 | //======================================================================= |
| 837 | //function : CircleD3 |
| 838 | //purpose : |
| 839 | //======================================================================= |
| 840 | |
| 841 | void ElCLib::CircleD3 (const Standard_Real U, |
| 842 | const gp_Ax22d& Pos, |
| 843 | const Standard_Real Radius, |
| 844 | gp_Pnt2d& P, |
| 845 | gp_Vec2d& V1, |
| 846 | gp_Vec2d& V2, |
| 847 | gp_Vec2d& V3) |
| 848 | { |
| 849 | gp_XY Vxy; |
| 850 | gp_XY Xdir (Pos.XDirection().XY()); |
| 851 | gp_XY Ydir (Pos.YDirection().XY()); |
| 852 | Standard_Real Xc = Radius * cos(U); |
| 853 | Standard_Real Yc = Radius * sin(U); |
| 854 | |
| 855 | //V2 : |
| 856 | Vxy.SetLinearForm (Xc, Xdir, Yc, Ydir); |
| 857 | V2.SetXY (Vxy); |
| 858 | V2.Reverse(); |
| 859 | |
| 860 | //Point courant : |
| 861 | Vxy.Add (Pos.Location().XY()); |
| 862 | P.SetXY (Vxy); |
| 863 | |
| 864 | //V1 : |
| 865 | Vxy.SetLinearForm (-Yc, Xdir, Xc, Ydir); |
| 866 | V1.SetXY (Vxy); |
| 867 | |
| 868 | //V3 : |
| 869 | V3.SetXY (Vxy); |
| 870 | V3.Reverse (); |
| 871 | } |
| 872 | |
| 873 | //======================================================================= |
| 874 | //function : EllipseD3 |
| 875 | //purpose : |
| 876 | //======================================================================= |
| 877 | |
| 878 | void ElCLib::EllipseD3 (const Standard_Real U, |
| 879 | const gp_Ax22d& Pos, |
| 880 | const Standard_Real MajorRadius, |
| 881 | const Standard_Real MinorRadius, |
| 882 | gp_Pnt2d& P, |
| 883 | gp_Vec2d& V1, |
| 884 | gp_Vec2d& V2, |
| 885 | gp_Vec2d& V3) |
| 886 | { |
| 887 | gp_XY Vxy; |
| 888 | gp_XY Xdir (Pos.XDirection().XY()); |
| 889 | gp_XY Ydir (Pos.YDirection().XY()); |
| 890 | Standard_Real Xc = cos(U); |
| 891 | Standard_Real Yc = sin(U); |
| 892 | |
| 893 | //V2 : |
| 894 | Vxy.SetLinearForm (Xc*MajorRadius, Xdir, Yc*MinorRadius, Ydir); |
| 895 | V2.SetXY (Vxy); |
| 896 | V2.Reverse (); |
| 897 | |
| 898 | //Point courant : |
| 899 | Vxy.Add (Pos.Location().XY()); |
| 900 | P.SetXY (Vxy); |
| 901 | |
| 902 | //V1 : |
| 903 | Vxy.SetLinearForm (-Yc*MajorRadius, Xdir, Xc*MinorRadius, Ydir); |
| 904 | V1.SetXY (Vxy); |
| 905 | |
| 906 | //V3 : |
| 907 | V3.SetXY (Vxy); |
| 908 | V3.Reverse (); |
| 909 | } |
| 910 | |
| 911 | //======================================================================= |
| 912 | //function : HyperbolaD3 |
| 913 | //purpose : |
| 914 | //======================================================================= |
| 915 | |
| 916 | void ElCLib::HyperbolaD3 (const Standard_Real U, |
| 917 | const gp_Ax22d& Pos, |
| 918 | const Standard_Real MajorRadius, |
| 919 | const Standard_Real MinorRadius, |
| 920 | gp_Pnt2d& P, |
| 921 | gp_Vec2d& V1, |
| 922 | gp_Vec2d& V2, |
| 923 | gp_Vec2d& V3) |
| 924 | { |
| 925 | gp_XY Vxy; |
| 926 | gp_XY Xdir (Pos.XDirection().XY()); |
| 927 | gp_XY Ydir (Pos.YDirection().XY()); |
| 928 | Standard_Real Xc = cosh(U); |
| 929 | Standard_Real Yc = sinh(U); |
| 930 | |
| 931 | //V2 : |
| 932 | Vxy.SetLinearForm (Xc*MajorRadius, Xdir, Yc*MinorRadius, Ydir); |
| 933 | V2.SetXY (Vxy); |
| 934 | |
| 935 | //Point courant : |
| 936 | Vxy.Add (Pos.Location().XY()); |
| 937 | P.SetXY (Vxy); |
| 938 | |
| 939 | //V1 : |
| 940 | Vxy.SetLinearForm (Yc*MajorRadius, Xdir, Xc*MinorRadius, Ydir); |
| 941 | V1.SetXY (Vxy); |
| 942 | |
| 943 | //V3 : |
| 944 | V3.SetXY (Vxy); |
| 945 | } |
| 946 | |
| 947 | //======================================================================= |
| 948 | //function : LineDN |
| 949 | //purpose : |
| 950 | //======================================================================= |
| 951 | |
| 952 | gp_Vec ElCLib::LineDN (const Standard_Real, |
| 953 | const gp_Ax1& Pos, |
| 954 | const Standard_Integer N) |
| 955 | { |
| 956 | if (N == 1) { return gp_Vec(Pos.Direction()); } |
| 957 | return gp_Vec (0., 0., 0.); |
| 958 | } |
| 959 | |
| 960 | //======================================================================= |
| 961 | //function : CircleDN |
| 962 | //purpose : |
| 963 | //======================================================================= |
| 964 | |
| 965 | gp_Vec ElCLib::CircleDN (const Standard_Real U, |
| 966 | const gp_Ax2& Pos, |
| 967 | const Standard_Real Radius, |
| 968 | const Standard_Integer N) |
| 969 | { |
| 970 | Standard_Real Xc=0, Yc=0; |
| 971 | if (N == 1) { |
| 972 | Xc = Radius * -sin(U); |
| 973 | Yc = Radius * cos(U); |
| 974 | } |
| 975 | else if ((N + 2) % 4 == 0) { |
| 976 | Xc = Radius * -cos(U); |
| 977 | Yc = Radius * -sin(U); |
| 978 | } |
| 979 | else if ((N + 1) % 4 == 0) { |
| 980 | Xc = Radius * sin(U); |
| 981 | Yc = Radius * -cos(U); |
| 982 | } |
| 983 | else if (N % 4 == 0) { |
| 984 | Xc = Radius * cos(U); |
| 985 | Yc = Radius * sin(U); |
| 986 | } |
| 987 | else if ((N-1) % 4 == 0) { |
| 988 | Xc = Radius * -sin(U); |
| 989 | Yc = Radius * cos(U); |
| 990 | } |
| 991 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 992 | Coord1.SetLinearForm (Xc, Coord1, Yc, Pos.YDirection().XYZ()); |
| 993 | return gp_Vec (Coord1); |
| 994 | } |
| 995 | |
| 996 | //======================================================================= |
| 997 | //function : EllipseDN |
| 998 | //purpose : |
| 999 | //======================================================================= |
| 1000 | |
| 1001 | gp_Vec ElCLib::EllipseDN (const Standard_Real U, |
| 1002 | const gp_Ax2& Pos, |
| 1003 | const Standard_Real MajorRadius, |
| 1004 | const Standard_Real MinorRadius, |
| 1005 | const Standard_Integer N) |
| 1006 | { |
| 1007 | Standard_Real Xc=0, Yc=0; |
| 1008 | if (N == 1) { |
| 1009 | Xc = MajorRadius * -sin(U); |
| 1010 | Yc = MinorRadius * cos(U); |
| 1011 | } |
| 1012 | else if ((N + 2) % 4 == 0) { |
| 1013 | Xc = MajorRadius * -cos(U); |
| 1014 | Yc = MinorRadius * -sin(U); |
| 1015 | } |
| 1016 | else if ((N + 1) % 4 == 0) { |
| 1017 | Xc = MajorRadius * sin(U); |
| 1018 | Yc = MinorRadius * -cos(U); |
| 1019 | } |
| 1020 | else if (N % 4 == 0) { |
| 1021 | Xc = MajorRadius * cos(U); |
| 1022 | Yc = MinorRadius * sin(U); |
| 1023 | } |
| 1024 | else if ((N-1) % 4 == 0) { |
| 1025 | Xc = MajorRadius * -sin(U); |
| 1026 | Yc = MinorRadius * cos(U); |
| 1027 | } |
| 1028 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 1029 | Coord1.SetLinearForm (Xc, Coord1, Yc, Pos.YDirection().XYZ()); |
| 1030 | return gp_Vec (Coord1); |
| 1031 | } |
| 1032 | |
| 1033 | //======================================================================= |
| 1034 | //function : HyperbolaDN |
| 1035 | //purpose : |
| 1036 | //======================================================================= |
| 1037 | |
| 1038 | gp_Vec ElCLib::HyperbolaDN (const Standard_Real U, |
| 1039 | const gp_Ax2& Pos, |
| 1040 | const Standard_Real MajorRadius, |
| 1041 | const Standard_Real MinorRadius, |
| 1042 | const Standard_Integer N) |
| 1043 | { |
| 1044 | Standard_Real Xc=0, Yc=0; |
| 1045 | if (IsOdd (N)) { |
| 1046 | Xc = MajorRadius * sinh(U); |
| 1047 | Yc = MinorRadius * cosh(U); |
| 1048 | } |
| 1049 | else if (IsEven (N)) { |
| 1050 | Xc = MajorRadius * cosh(U); |
| 1051 | Yc = MinorRadius * sinh(U); |
| 1052 | } |
| 1053 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 1054 | Coord1.SetLinearForm (Xc, Coord1, Yc, Pos.YDirection().XYZ()); |
| 1055 | return gp_Vec (Coord1); |
| 1056 | } |
| 1057 | |
| 1058 | //======================================================================= |
| 1059 | //function : ParabolaDN |
| 1060 | //purpose : |
| 1061 | //======================================================================= |
| 1062 | |
| 1063 | gp_Vec ElCLib::ParabolaDN (const Standard_Real U, |
| 1064 | const gp_Ax2& Pos, |
| 1065 | const Standard_Real Focal, |
| 1066 | const Standard_Integer N) |
| 1067 | { |
| 1068 | if (N <= 2) { |
| 1069 | gp_XYZ Coord1 (Pos.XDirection().XYZ()); |
| 1070 | if (N == 1) { |
| 1071 | if (Focal == 0.0) { |
| 1072 | return gp_Vec(Coord1); |
| 1073 | } |
| 1074 | else { |
| 1075 | Coord1.SetLinearForm |
| 1076 | (U / (2.0 * Focal), Coord1, Pos.YDirection().XYZ()); |
| 1077 | return gp_Vec (Coord1); |
| 1078 | } |
| 1079 | } |
| 1080 | else if (N == 2) { |
| 1081 | if (Focal == 0.0) { |
| 1082 | return gp_Vec(0.0, 0.0, 0.0); |
| 1083 | } |
| 1084 | else { |
| 1085 | Coord1.Multiply ( 1.0 / (2.0 * Focal)); |
| 1086 | return gp_Vec (Coord1); |
| 1087 | } |
| 1088 | } |
| 1089 | } |
| 1090 | return gp_Vec (0.,0.,0.); |
| 1091 | } |
| 1092 | |
| 1093 | //======================================================================= |
| 1094 | //function : LineDN |
| 1095 | //purpose : |
| 1096 | //======================================================================= |
| 1097 | |
| 1098 | gp_Vec2d ElCLib::LineDN (const Standard_Real, |
| 1099 | const gp_Ax2d& Pos, |
| 1100 | const Standard_Integer N) |
| 1101 | { |
| 1102 | if (N == 1) { return gp_Vec2d (Pos.Direction ()); } |
| 1103 | return gp_Vec2d (0.0, 0.0); |
| 1104 | } |
| 1105 | |
| 1106 | //======================================================================= |
| 1107 | //function : CircleDN |
| 1108 | //purpose : |
| 1109 | //======================================================================= |
| 1110 | |
| 1111 | gp_Vec2d ElCLib::CircleDN (const Standard_Real U, |
| 1112 | const gp_Ax22d& Pos, |
| 1113 | const Standard_Real Radius, |
| 1114 | const Standard_Integer N) |
| 1115 | { |
| 1116 | Standard_Real Xc=0, Yc=0; |
| 1117 | if (N == 1) { |
| 1118 | Xc = Radius * -sin(U); |
| 1119 | Yc = Radius * cos(U); |
| 1120 | } |
| 1121 | else if ((N + 2) % 4 == 0) { |
| 1122 | Xc = Radius * -cos(U); |
| 1123 | Yc = Radius * -sin(U); |
| 1124 | } |
| 1125 | else if ((N + 1) % 4 == 0) { |
| 1126 | Xc = Radius * sin(U); |
| 1127 | Yc = Radius * -cos(U); |
| 1128 | } |
| 1129 | else if (N % 4 == 0) { |
| 1130 | Xc = Radius * cos(U); |
| 1131 | Yc = Radius * sin(U); |
| 1132 | } |
| 1133 | else if ((N-1) % 4 == 0) { |
| 1134 | Xc = Radius * -sin(U); |
| 1135 | Yc = Radius * cos(U); |
| 1136 | } |
| 1137 | gp_XY Xdir (Pos.XDirection().XY()); |
| 1138 | gp_XY Ydir (Pos.YDirection().XY()); |
| 1139 | Xdir.SetLinearForm (Xc, Xdir, Yc, Ydir); |
| 1140 | return gp_Vec2d (Xdir); |
| 1141 | } |
| 1142 | |
| 1143 | //======================================================================= |
| 1144 | //function : EllipseDN |
| 1145 | //purpose : |
| 1146 | //======================================================================= |
| 1147 | |
| 1148 | gp_Vec2d ElCLib::EllipseDN (const Standard_Real U, |
| 1149 | const gp_Ax22d& Pos, |
| 1150 | const Standard_Real MajorRadius, |
| 1151 | const Standard_Real MinorRadius, |
| 1152 | const Standard_Integer N) |
| 1153 | { |
| 1154 | Standard_Real Xc=0, Yc=0; |
| 1155 | if (N == 1) { |
| 1156 | Xc = MajorRadius * -sin(U); |
| 1157 | Yc = MinorRadius * cos(U); |
| 1158 | } |
| 1159 | else if ((N + 2) % 4 == 0) { |
| 1160 | Xc = MajorRadius * -cos(U); |
| 1161 | Yc = MinorRadius * -sin(U); |
| 1162 | } |
| 1163 | else if ((N + 1) % 4 == 0) { |
| 1164 | Xc = MajorRadius * sin(U); |
| 1165 | Yc = MinorRadius * -cos(U); |
| 1166 | } |
| 1167 | else if (N % 4 == 0) { |
| 1168 | Xc = MajorRadius * cos(U); |
| 1169 | Yc = MinorRadius * sin(U); |
| 1170 | } |
| 1171 | else if ((N-1) % 4 == 0) { |
| 1172 | Xc = MajorRadius * -sin(U); |
| 1173 | Yc = MinorRadius * cos(U); |
| 1174 | } |
| 1175 | gp_XY Xdir (Pos.XDirection().XY()); |
| 1176 | gp_XY Ydir (Pos.YDirection().XY()); |
| 1177 | Xdir.SetLinearForm (Xc, Xdir, Yc, Ydir); |
| 1178 | return gp_Vec2d (Xdir); |
| 1179 | } |
| 1180 | |
| 1181 | //======================================================================= |
| 1182 | //function : HyperbolaDN |
| 1183 | //purpose : |
| 1184 | //======================================================================= |
| 1185 | |
| 1186 | gp_Vec2d ElCLib::HyperbolaDN (const Standard_Real U, |
| 1187 | const gp_Ax22d& Pos, |
| 1188 | const Standard_Real MajorRadius, |
| 1189 | const Standard_Real MinorRadius, |
| 1190 | const Standard_Integer N) |
| 1191 | { |
| 1192 | Standard_Real Xc=0, Yc=0; |
| 1193 | if (IsOdd (N)) { |
| 1194 | Xc = MajorRadius * sinh(U); |
| 1195 | Yc = MinorRadius * cosh(U); |
| 1196 | } |
| 1197 | else if (IsEven (N)) { |
| 1198 | Xc = MajorRadius * cosh(U); |
| 1199 | Yc = MinorRadius * sinh(U); |
| 1200 | } |
| 1201 | gp_XY Xdir (Pos.XDirection().XY()); |
| 1202 | gp_XY Ydir (Pos.YDirection().XY()); |
| 1203 | Xdir.SetLinearForm (Xc, Xdir, Yc, Ydir); |
| 1204 | return gp_Vec2d (Xdir); |
| 1205 | } |
| 1206 | |
| 1207 | //======================================================================= |
| 1208 | //function : ParabolaDN |
| 1209 | //purpose : |
| 1210 | //======================================================================= |
| 1211 | |
| 1212 | gp_Vec2d ElCLib::ParabolaDN (const Standard_Real U, |
| 1213 | const gp_Ax22d& Pos, |
| 1214 | const Standard_Real Focal, |
| 1215 | const Standard_Integer N) |
| 1216 | { |
| 1217 | if (N <= 2) { |
| 1218 | gp_XY Xdir (Pos.XDirection().XY()); |
| 1219 | if (N == 1) { |
| 1220 | if (Focal == 0.0) { |
| 1221 | return gp_Vec2d (Xdir); |
| 1222 | } |
| 1223 | else { |
| 1224 | gp_XY Ydir (Pos.YDirection().XY()); |
| 1225 | Xdir.SetLinearForm (U / (2.0 * Focal), Xdir, Ydir); |
| 1226 | return gp_Vec2d (Xdir); |
| 1227 | } |
| 1228 | } |
| 1229 | else if (N == 2) { |
| 1230 | if (Focal == 0.0) { |
| 1231 | return gp_Vec2d (0.0, 0.0); |
| 1232 | } |
| 1233 | else { |
| 1234 | Xdir.Multiply ( 1.0 / (2.0 * Focal)); |
| 1235 | return gp_Vec2d (Xdir); |
| 1236 | } |
| 1237 | } |
| 1238 | } |
| 1239 | return gp_Vec2d (0.0, 0.0); |
| 1240 | } |
| 1241 | |
| 1242 | //======================================================================= |
| 1243 | //function : LineParameter |
| 1244 | //purpose : |
| 1245 | //======================================================================= |
| 1246 | |
| 1247 | Standard_Real ElCLib::LineParameter (const gp_Ax1& L, const gp_Pnt& P) |
| 1248 | { |
| 1249 | return (P.XYZ() - L.Location().XYZ()).Dot (L.Direction().XYZ()); |
| 1250 | } |
| 1251 | |
| 1252 | //======================================================================= |
| 1253 | //function : CircleParameter |
| 1254 | //purpose : |
| 1255 | //======================================================================= |
| 1256 | |
| 1257 | Standard_Real ElCLib::CircleParameter (const gp_Ax2& Pos, |
| 1258 | const gp_Pnt& P) |
| 1259 | { |
| 1260 | Standard_Real Teta = (Pos.XDirection()) .AngleWithRef |
| 1261 | (gp_Vec (Pos.Location(), P), Pos.Direction()); |
| 1262 | if (Teta < -1.e-16) Teta += PIPI; |
| 1263 | else if (Teta < 0) Teta = 0; |
| 1264 | return Teta; |
| 1265 | } |
| 1266 | |
| 1267 | //======================================================================= |
| 1268 | //function : EllipseParameter |
| 1269 | //purpose : |
| 1270 | //======================================================================= |
| 1271 | |
| 1272 | Standard_Real ElCLib::EllipseParameter (const gp_Ax2& Pos, |
| 1273 | const Standard_Real MajorRadius, |
| 1274 | const Standard_Real MinorRadius, |
| 1275 | const gp_Pnt& P) |
| 1276 | { |
| 1277 | gp_XYZ OP = P.XYZ()-Pos.Location().XYZ(); |
| 1278 | gp_XYZ xaxis = Pos.XDirection().XYZ(); |
| 1279 | gp_XYZ yaxis = Pos.YDirection().XYZ(); |
| 1280 | Standard_Real NY = OP.Dot(yaxis); |
| 1281 | Standard_Real NX = OP.Dot(xaxis); |
| 1282 | |
| 1283 | if( (Abs(NX) <= gp::Resolution()) |
| 1284 | &&(Abs(NY) <= gp::Resolution())) |
| 1285 | //-- The point P is on the Axis of the Ellipse. |
| 1286 | return(0.0); |
| 1287 | |
| 1288 | yaxis.Multiply (NY * (MajorRadius/MinorRadius)); |
| 1289 | gp_XYZ Om = xaxis.Multiplied (NX); |
| 1290 | Om.Add (yaxis); |
| 1291 | Standard_Real Teta = gp_Vec(xaxis).AngleWithRef |
| 1292 | (gp_Vec(Om), gp_Vec(Pos.Direction())); |
| 1293 | if (Teta < -1.e-16) Teta += PIPI; |
| 1294 | else if (Teta < 0) Teta = 0; |
| 1295 | return Teta; |
| 1296 | } |
| 1297 | |
| 1298 | //======================================================================= |
| 1299 | //function : HyperbolaParameter |
| 1300 | //purpose : |
| 1301 | //======================================================================= |
| 1302 | |
| 1303 | Standard_Real ElCLib::HyperbolaParameter (const gp_Ax2& Pos, |
| 1304 | const Standard_Real, |
| 1305 | const Standard_Real MinorRadius, |
| 1306 | const gp_Pnt& P) |
| 1307 | { |
| 1308 | Standard_Real sht = |
| 1309 | gp_Vec(Pos.Location (), P).Dot |
| 1310 | (gp_Vec (Pos.YDirection())) / MinorRadius; |
| 1311 | return asinh(sht); |
| 1312 | } |
| 1313 | |
| 1314 | //======================================================================= |
| 1315 | //function : ParabolaParameter |
| 1316 | //purpose : |
| 1317 | //======================================================================= |
| 1318 | |
| 1319 | Standard_Real ElCLib::ParabolaParameter (const gp_Ax2& Pos, |
| 1320 | const gp_Pnt& P) |
| 1321 | { |
| 1322 | return gp_Vec(Pos.Location(),P).Dot(gp_Vec(Pos.YDirection())); |
| 1323 | } |
| 1324 | |
| 1325 | //======================================================================= |
| 1326 | //function : LineParameter |
| 1327 | //purpose : |
| 1328 | //======================================================================= |
| 1329 | |
| 1330 | Standard_Real ElCLib::LineParameter (const gp_Ax2d& L, |
| 1331 | const gp_Pnt2d& P) |
| 1332 | { |
| 1333 | gp_XY Coord = P.XY(); |
| 1334 | Coord.Subtract (L.Location().XY()); |
| 1335 | return Coord.Dot (L.Direction().XY()); |
| 1336 | } |
| 1337 | |
| 1338 | //======================================================================= |
| 1339 | //function : CircleParameter |
| 1340 | //purpose : |
| 1341 | //======================================================================= |
| 1342 | |
| 1343 | Standard_Real ElCLib::CircleParameter (const gp_Ax22d& Pos, |
| 1344 | const gp_Pnt2d& P) |
| 1345 | { |
| 1346 | Standard_Real Teta = (Pos.XDirection()).Angle |
| 1347 | (gp_Vec2d (Pos.Location(),P)); |
| 1348 | Teta = ((Pos.XDirection() ^ Pos.YDirection()) >= 0.0) ? Teta: -Teta; |
| 1349 | if (Teta < -1.e-16) Teta += PIPI; |
| 1350 | else if (Teta < 0) Teta = 0; |
| 1351 | return Teta; |
| 1352 | } |
| 1353 | |
| 1354 | //======================================================================= |
| 1355 | //function : EllipseParameter |
| 1356 | //purpose : |
| 1357 | //======================================================================= |
| 1358 | |
| 1359 | Standard_Real ElCLib::EllipseParameter (const gp_Ax22d& Pos, |
| 1360 | const Standard_Real MajorRadius, |
| 1361 | const Standard_Real MinorRadius, |
| 1362 | const gp_Pnt2d& P) |
| 1363 | { |
| 1364 | gp_XY OP = P.XY(); |
| 1365 | OP.Subtract (Pos.Location().XY()); |
| 1366 | gp_XY xaxis = Pos.XDirection().XY(); |
| 1367 | gp_XY yaxis = Pos.YDirection().XY(); |
| 1368 | gp_XY Om = xaxis.Multiplied (OP.Dot(xaxis)); |
| 1369 | yaxis.Multiply ( (OP.Dot(yaxis)) * (MajorRadius/MinorRadius) ); |
| 1370 | Om.Add (yaxis); |
| 1371 | Standard_Real Teta = gp_Vec2d(xaxis).Angle (gp_Vec2d(Om)); |
| 1372 | Teta = ((Pos.XDirection() ^ Pos.YDirection()) >= 0.0) ? Teta: -Teta; |
| 1373 | if (Teta < -1.e-16) Teta += PIPI; |
| 1374 | else if (Teta < 0) Teta = 0; |
| 1375 | return Teta; |
| 1376 | } |
| 1377 | |
| 1378 | //======================================================================= |
| 1379 | //function : HyperbolaParameter |
| 1380 | //purpose : |
| 1381 | //======================================================================= |
| 1382 | |
| 1383 | Standard_Real ElCLib::HyperbolaParameter (const gp_Ax22d& Pos, |
| 1384 | const Standard_Real, |
| 1385 | const Standard_Real MinorRadius, |
| 1386 | const gp_Pnt2d& P) |
| 1387 | { |
| 1388 | gp_Vec2d V (Pos.YDirection().XY()); |
| 1389 | Standard_Real sht = gp_Vec2d(Pos.Location(),P).Dot(V) /MinorRadius; |
| 1390 | return asinh(sht); |
| 1391 | } |
| 1392 | |
| 1393 | //======================================================================= |
| 1394 | //function : ParabolaParameter |
| 1395 | //purpose : |
| 1396 | //======================================================================= |
| 1397 | |
| 1398 | Standard_Real ElCLib::ParabolaParameter (const gp_Ax22d& Pos, |
| 1399 | const gp_Pnt2d& P) |
| 1400 | { |
| 1401 | gp_Vec2d Directrix (Pos.YDirection().XY()); |
| 1402 | return gp_Vec2d(Pos.Location(),P).Dot(Directrix); |
| 1403 | } |
| 1404 | |
| 1405 | //======================================================================= |
| 1406 | //function : To3d |
| 1407 | //purpose : |
| 1408 | //======================================================================= |
| 1409 | |
| 1410 | gp_Pnt ElCLib::To3d (const gp_Ax2& Pos, const gp_Pnt2d& P) |
| 1411 | { |
| 1412 | gp_XYZ Vxy = Pos.XDirection().XYZ(); |
| 1413 | Vxy.SetLinearForm (P.X(), Vxy, P.Y(), Pos.YDirection().XYZ(), |
| 1414 | Pos.Location().XYZ()); |
| 1415 | return gp_Pnt (Vxy); |
| 1416 | |
| 1417 | } |
| 1418 | |
| 1419 | //======================================================================= |
| 1420 | //function : To3d |
| 1421 | //purpose : |
| 1422 | //======================================================================= |
| 1423 | |
| 1424 | gp_Dir ElCLib::To3d (const gp_Ax2& Pos, const gp_Dir2d& V) |
| 1425 | { |
| 1426 | gp_Vec Vx = Pos.XDirection(); |
| 1427 | gp_Vec Vy = Pos.YDirection(); |
| 1428 | Vx.Multiply (V.X()); |
| 1429 | Vy.Multiply (V.Y()); |
| 1430 | Vx.Add(Vy); |
| 1431 | return gp_Dir (Vx); |
| 1432 | } |
| 1433 | |
| 1434 | //======================================================================= |
| 1435 | //function : To3d |
| 1436 | //purpose : |
| 1437 | //======================================================================= |
| 1438 | |
| 1439 | gp_Vec ElCLib::To3d (const gp_Ax2& Pos, const gp_Vec2d& V) |
| 1440 | { |
| 1441 | gp_Vec Vx = Pos.XDirection(); |
| 1442 | gp_Vec Vy = Pos.YDirection(); |
| 1443 | Vx.Multiply (V.X()); |
| 1444 | Vy.Multiply (V.Y()); |
| 1445 | Vx.Add(Vy); |
| 1446 | return Vx; |
| 1447 | } |
| 1448 | |
| 1449 | //======================================================================= |
| 1450 | //function : To3d |
| 1451 | //purpose : |
| 1452 | //======================================================================= |
| 1453 | |
| 1454 | gp_Ax1 ElCLib::To3d (const gp_Ax2& Pos, const gp_Ax2d& A) |
| 1455 | { |
| 1456 | gp_Pnt P = ElCLib::To3d (Pos, A.Location()); |
| 1457 | gp_Vec V = ElCLib::To3d (Pos, A.Direction()); |
| 1458 | return gp_Ax1 (P, V); |
| 1459 | } |
| 1460 | |
| 1461 | //======================================================================= |
| 1462 | //function : To3d |
| 1463 | //purpose : |
| 1464 | //======================================================================= |
| 1465 | |
| 1466 | gp_Ax2 ElCLib::To3d (const gp_Ax2& Pos, const gp_Ax22d& A) |
| 1467 | { |
| 1468 | gp_Pnt P = ElCLib::To3d (Pos, A.Location()); |
| 1469 | gp_Vec VX = ElCLib::To3d (Pos, A.XDirection()); |
| 1470 | gp_Vec VY = ElCLib::To3d (Pos, A.YDirection()); |
| 1471 | return gp_Ax2 (P, VX.Crossed(VY), VX); |
| 1472 | } |
| 1473 | |
| 1474 | //======================================================================= |
| 1475 | //function : To3d |
| 1476 | //purpose : |
| 1477 | //======================================================================= |
| 1478 | |
| 1479 | gp_Lin ElCLib::To3d (const gp_Ax2& Pos, const gp_Lin2d& L) |
| 1480 | { |
| 1481 | return gp_Lin (ElCLib::To3d (Pos, L.Position())); |
| 1482 | } |
| 1483 | |
| 1484 | //======================================================================= |
| 1485 | //function : To3d |
| 1486 | //purpose : |
| 1487 | //======================================================================= |
| 1488 | |
| 1489 | gp_Circ ElCLib::To3d (const gp_Ax2& Pos, const gp_Circ2d& C) |
| 1490 | { |
| 1491 | return gp_Circ (ElCLib::To3d (Pos, C.Axis()), C.Radius()); |
| 1492 | } |
| 1493 | |
| 1494 | //======================================================================= |
| 1495 | //function : To3d |
| 1496 | //purpose : |
| 1497 | //======================================================================= |
| 1498 | |
| 1499 | gp_Elips ElCLib::To3d (const gp_Ax2& Pos, const gp_Elips2d& E) |
| 1500 | { |
| 1501 | return gp_Elips (ElCLib::To3d (Pos, E.Axis ()), E.MajorRadius (), |
| 1502 | E.MinorRadius ()); |
| 1503 | } |
| 1504 | |
| 1505 | //======================================================================= |
| 1506 | //function : To3d |
| 1507 | //purpose : |
| 1508 | //======================================================================= |
| 1509 | |
| 1510 | gp_Hypr ElCLib::To3d (const gp_Ax2& Pos, const gp_Hypr2d& H) |
| 1511 | { |
| 1512 | return gp_Hypr (ElCLib::To3d (Pos, H.Axis ()), H.MajorRadius (), |
| 1513 | H.MinorRadius ()); |
| 1514 | } |
| 1515 | |
| 1516 | //======================================================================= |
| 1517 | //function : To3d |
| 1518 | //purpose : |
| 1519 | //======================================================================= |
| 1520 | |
| 1521 | gp_Parab ElCLib::To3d (const gp_Ax2& Pos, const gp_Parab2d& Prb) |
| 1522 | { |
| 1523 | return gp_Parab ( ElCLib::To3d (Pos, Prb.Axis ()), Prb.Focal ()); |
| 1524 | } |
| 1525 | |
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