git.gag.com Git - debian/openrocket/blob - src/net/sf/openrocket/rocketcomponent/Transition.java

   1 package net.sf.openrocket.rocketcomponent;
   2
   3 import static java.lang.Math.*;
   4 import static net.sf.openrocket.util.Chars.*;
   5 import static net.sf.openrocket.util.MathUtil.*;
   6
   7 import java.util.Collection;
   8
   9 import net.sf.openrocket.util.Coordinate;
  10 import net.sf.openrocket.util.MathUtil;
  11
  12
  13 public class Transition extends SymmetricComponent {
  14         private static final double CLIP_PRECISION = 0.0001;
  15
  16
  17         private Shape type;
  18         private double shapeParameter;
  19         private boolean clipped;    // Not to be read - use isClipped(), which may be overriden
  20
  21         private double radius1, radius2;
  22         private boolean autoRadius1, autoRadius2;   // Whether the start radius is automatic
  23
  24
  25         private double foreShoulderRadius;
  26         private double foreShoulderThickness;
  27         private double foreShoulderLength;
  28         private boolean foreShoulderCapped;
  29         private double aftShoulderRadius;
  30         private double aftShoulderThickness;
  31         private double aftShoulderLength;
  32         private boolean aftShoulderCapped;
  33
  34
  35         // Used to cache the clip length
  36         private double clipLength=-1;
  37
  38         public Transition() {
  39                 super();
  40
  41                 this.radius1 = DEFAULT_RADIUS;
  42                 this.radius2 = DEFAULT_RADIUS;
  43                 this.length = DEFAULT_RADIUS * 3;
  44                 this.autoRadius1 = true;
  45                 this.autoRadius2 = true;
  46
  47                 this.type = Shape.CONICAL;
  48                 this.shapeParameter = 0;
  49                 this.clipped = true;
  50         }
  51
  52
  53
  54
  55         ////////  Fore radius  ////////
  56
  57
  58         @Override
  59         public double getForeRadius() {
  60                 if (isForeRadiusAutomatic()) {
  61                         // Get the automatic radius from the front
  62                         double r = -1;
  63                         SymmetricComponent c = this.getPreviousSymmetricComponent();
  64                         if (c != null) {
  65                                 r = c.getFrontAutoRadius();
  66                         }
  67                         if (r < 0)
  68                                 r = DEFAULT_RADIUS;
  69                         return r;
  70                 }
  71                 return radius1;
  72         }
  73
  74         public void setForeRadius(double radius) {
  75                 if ((this.radius1 == radius) && (autoRadius1 == false))
  76                         return;
  77
  78                 this.autoRadius1 = false;
  79                 this.radius1 = Math.max(radius,0);
  80
  81                 if (this.thickness > this.radius1 && this.thickness > this.radius2)
  82                         this.thickness = Math.max(this.radius1, this.radius2);
  83                 fireComponentChangeEvent(ComponentChangeEvent.BOTH_CHANGE);
  84         }
  85
  86         @Override
  87         public boolean isForeRadiusAutomatic() {
  88                 return autoRadius1;
  89         }
  90
  91         public void setForeRadiusAutomatic(boolean auto) {
  92                 if (autoRadius1 == auto)
  93                         return;
  94
  95                 autoRadius1 = auto;
  96                 fireComponentChangeEvent(ComponentChangeEvent.BOTH_CHANGE);
  97         }
  98
  99
 100         ////////  Aft radius  /////////
 101
 102         @Override
 103         public double getAftRadius() {
 104                 if (isAftRadiusAutomatic()) {
 105                         // Return the auto radius from the rear
 106                         double r = -1;
 107                         SymmetricComponent c = this.getNextSymmetricComponent();
 108                         if (c != null) {
 109                                 r = c.getRearAutoRadius();
 110                         }
 111                         if (r < 0)
 112                                 r = DEFAULT_RADIUS;
 113                         return r;
 114                 }
 115                 return radius2;
 116         }
 117
 118
 119
 120         public void setAftRadius(double radius) {
 121                 if ((this.radius2 == radius) && (autoRadius2 == false))
 122                         return;
 123
 124                 this.autoRadius2 = false;
 125                 this.radius2 = Math.max(radius,0);
 126
 127                 if (this.thickness > this.radius1 && this.thickness > this.radius2)
 128                         this.thickness = Math.max(this.radius1, this.radius2);
 129                 fireComponentChangeEvent(ComponentChangeEvent.BOTH_CHANGE);
 130         }
 131
 132         @Override
 133         public boolean isAftRadiusAutomatic() {
 134                 return autoRadius2;
 135         }
 136
 137         public void setAftRadiusAutomatic(boolean auto) {
 138                 if (autoRadius2 == auto)
 139                         return;
 140
 141                 autoRadius2 = auto;
 142                 fireComponentChangeEvent(ComponentChangeEvent.BOTH_CHANGE);
 143         }
 144
 145
 146
 147         //// Radius automatics
 148
 149         @Override
 150         protected double getFrontAutoRadius() {
 151                 if (isAftRadiusAutomatic())
 152                         return -1;
 153                 return getAftRadius();
 154         }
 155
 156
 157         @Override
 158         protected double getRearAutoRadius() {
 159                 if (isForeRadiusAutomatic())
 160                         return -1;
 161                 return getForeRadius();
 162         }
 163
 164
 165
 166
 167         ////////  Type & shape  /////////
 168
 169         public Shape getType() {
 170                 return type;
 171         }
 172
 173         public void setType(Shape type) {
 174                 if (type == null) {
 175                         throw new IllegalArgumentException("BUG:  setType called with null argument");
 176                 }
 177                 if (this.type == type)
 178                         return;
 179                 this.type = type;
 180                 this.clipped = type.isClippable();
 181                 this.shapeParameter = type.defaultParameter();
 182                 fireComponentChangeEvent(ComponentChangeEvent.BOTH_CHANGE);
 183         }
 184
 185         public double getShapeParameter() {
 186                 return shapeParameter;
 187         }
 188
 189         public void setShapeParameter(double n) {
 190                 if (shapeParameter == n)
 191                         return;
 192                 this.shapeParameter = MathUtil.clamp(n, type.minParameter(), type.maxParameter());
 193                 fireComponentChangeEvent(ComponentChangeEvent.BOTH_CHANGE);
 194         }
 195
 196         public boolean isClipped() {
 197                 if (!type.isClippable())
 198                         return false;
 199                 return clipped;
 200         }
 201
 202         public void setClipped(boolean c) {
 203                 if (clipped == c)
 204                         return;
 205                 clipped = c;
 206                 fireComponentChangeEvent(ComponentChangeEvent.BOTH_CHANGE);
 207         }
 208
 209         public boolean isClippedEnabled() {
 210                 return type.isClippable();
 211         }
 212
 213         public double getShapeParameterMin() {
 214                 return type.minParameter();
 215         }
 216
 217         public double getShapeParameterMax() {
 218                 return type.maxParameter();
 219         }
 220
 221
 222         ////////  Shoulders  ////////
 223
 224         public double getForeShoulderRadius() {
 225                 return foreShoulderRadius;
 226         }
 227
 228         public void setForeShoulderRadius(double foreShoulderRadius) {
 229                 if (MathUtil.equals(this.foreShoulderRadius, foreShoulderRadius))
 230                         return;
 231                 this.foreShoulderRadius = foreShoulderRadius;
 232                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 233         }
 234
 235         public double getForeShoulderThickness() {
 236                 return foreShoulderThickness;
 237         }
 238
 239         public void setForeShoulderThickness(double foreShoulderThickness) {
 240                 if (MathUtil.equals(this.foreShoulderThickness, foreShoulderThickness))
 241                         return;
 242                 this.foreShoulderThickness = foreShoulderThickness;
 243                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 244         }
 245
 246         public double getForeShoulderLength() {
 247                 return foreShoulderLength;
 248         }
 249
 250         public void setForeShoulderLength(double foreShoulderLength) {
 251                 if (MathUtil.equals(this.foreShoulderLength, foreShoulderLength))
 252                         return;
 253                 this.foreShoulderLength = foreShoulderLength;
 254                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 255         }
 256
 257         public boolean isForeShoulderCapped() {
 258                 return foreShoulderCapped;
 259         }
 260
 261         public void setForeShoulderCapped(boolean capped) {
 262                 if (this.foreShoulderCapped == capped)
 263                         return;
 264                 this.foreShoulderCapped = capped;
 265                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 266         }
 267
 268
 269
 270
 271         public double getAftShoulderRadius() {
 272                 return aftShoulderRadius;
 273         }
 274
 275         public void setAftShoulderRadius(double aftShoulderRadius) {
 276                 if (MathUtil.equals(this.aftShoulderRadius, aftShoulderRadius))
 277                         return;
 278                 this.aftShoulderRadius = aftShoulderRadius;
 279                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 280         }
 281
 282         public double getAftShoulderThickness() {
 283                 return aftShoulderThickness;
 284         }
 285
 286         public void setAftShoulderThickness(double aftShoulderThickness) {
 287                 if (MathUtil.equals(this.aftShoulderThickness, aftShoulderThickness))
 288                         return;
 289                 this.aftShoulderThickness = aftShoulderThickness;
 290                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 291         }
 292
 293         public double getAftShoulderLength() {
 294                 return aftShoulderLength;
 295         }
 296
 297         public void setAftShoulderLength(double aftShoulderLength) {
 298                 if (MathUtil.equals(this.aftShoulderLength, aftShoulderLength))
 299                         return;
 300                 this.aftShoulderLength = aftShoulderLength;
 301                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 302         }
 303
 304         public boolean isAftShoulderCapped() {
 305                 return aftShoulderCapped;
 306         }
 307
 308         public void setAftShoulderCapped(boolean capped) {
 309                 if (this.aftShoulderCapped == capped)
 310                         return;
 311                 this.aftShoulderCapped = capped;
 312                 fireComponentChangeEvent(ComponentChangeEvent.MASS_CHANGE);
 313         }
 314
 315
 316
 317
 318         ///////////   Shape implementations   ////////////
 319
 320
 321
 322         /**
 323          * Return the radius at point x of the transition.
 324          */
 325         @Override
 326         public double getRadius(double x) {
 327                 if (x<0 || x>length)
 328                         return 0;
 329
 330                 double r1=getForeRadius();
 331                 double r2=getAftRadius();
 332
 333                 if (r1 == r2)
 334                         return r1;
 335
 336                 if (r1 > r2) {
 337                         x = length-x;
 338                         double tmp = r1;
 339                         r1 = r2;
 340                         r2 = tmp;
 341                 }
 342
 343                 if (isClipped()) {
 344                         // Check clip calculation
 345                         if (clipLength < 0)
 346                                 calculateClip(r1,r2);
 347                         return type.getRadius(clipLength+x, r2, clipLength+length, shapeParameter);
 348                 } else {
 349                         // Not clipped
 350                         return r1 + type.getRadius(x, r2-r1, length, shapeParameter);
 351                 }
 352         }
 353
 354         /**
 355          * Numerically solve clipLength from the equation
 356          *     r1 == type.getRadius(clipLength,r2,clipLength+length)
 357          * using a binary search.  It assumes getRadius() to be monotonically increasing.
 358          */
 359         private void calculateClip(double r1, double r2) {
 360                 double min=0, max=length;
 361
 362                 if (r1 >= r2) {
 363                         double tmp=r1;
 364                         r1 = r2;
 365                         r2 = tmp;
 366                 }
 367
 368                 if (r1==0) {
 369                         clipLength = 0;
 370                         return;
 371                 }
 372
 373                 if (length <= 0) {
 374                         clipLength = 0;
 375                         return;
 376                 }
 377
 378                 // Required:
 379                 //    getR(min,min+length,r2) - r1 < 0
 380                 //    getR(max,max+length,r2) - r1 > 0
 381
 382                 int n=0;
 383                 while (type.getRadius(max, r2, max+length, shapeParameter) - r1 < 0) {
 384                         min = max;
 385                         max *= 2;
 386                         n++;
 387                         if (n>10)
 388                                 break;
 389                 }
 390
 391                 while (true) {
 392                         clipLength = (min+max)/2;
 393                         if ((max-min)<CLIP_PRECISION)
 394                                 return;
 395                         double val = type.getRadius(clipLength, r2, clipLength+length, shapeParameter);
 396                         if (val-r1 > 0) {
 397                                 max = clipLength;
 398                         } else {
 399                                 min = clipLength;
 400                         }
 401                 }
 402         }
 403
 404
 405         @Override
 406         public double getInnerRadius(double x) {
 407                 return Math.max(getRadius(x)-thickness,0);
 408         }
 409
 410
 411
 412         @Override
 413         public Collection<Coordinate> getComponentBounds() {
 414                 Collection<Coordinate> bounds = super.getComponentBounds();
 415                 if (foreShoulderLength > 0.001)
 416                         addBound(bounds, -foreShoulderLength, foreShoulderRadius);
 417                 if (aftShoulderLength > 0.001)
 418                         addBound(bounds, getLength() + aftShoulderLength, aftShoulderRadius);
 419                 return bounds;
 420         }
 421
 422         @Override
 423         public double getComponentMass() {
 424                 double mass = super.getComponentMass();
 425                 if (getForeShoulderLength() > 0.001) {
 426                         final double or = getForeShoulderRadius();
 427                         final double ir = Math.max(getForeShoulderRadius() - getForeShoulderThickness(), 0);
 428                         mass += ringMass(or, ir, getForeShoulderLength(), getMaterial().getDensity());
 429                 }
 430                 if (isForeShoulderCapped()) {
 431                         final double ir = Math.max(getForeShoulderRadius() - getForeShoulderThickness(), 0);
 432                         mass += ringMass(ir, 0, getForeShoulderThickness(), getMaterial().getDensity());
 433                 }
 434
 435                 if (getAftShoulderLength() > 0.001) {
 436                         final double or = getAftShoulderRadius();
 437                         final double ir = Math.max(getAftShoulderRadius() - getAftShoulderThickness(), 0);
 438                         mass += ringMass(or, ir, getAftShoulderLength(), getMaterial().getDensity());
 439                 }
 440                 if (isAftShoulderCapped()) {
 441                         final double ir = Math.max(getAftShoulderRadius() - getAftShoulderThickness(), 0);
 442                         mass += ringMass(ir, 0, getAftShoulderThickness(), getMaterial().getDensity());
 443                 }
 444
 445                 return mass;
 446         }
 447
 448         @Override
 449         public Coordinate getComponentCG() {
 450                 Coordinate cg = super.getComponentCG();
 451                 if (getForeShoulderLength() > 0.001) {
 452                         final double ir = Math.max(getForeShoulderRadius() - getForeShoulderThickness(), 0);
 453                         cg = cg.average(ringCG(getForeShoulderRadius(), ir, -getForeShoulderLength(), 0,
 454                                         getMaterial().getDensity()));
 455                 }
 456                 if (isForeShoulderCapped()) {
 457                         final double ir = Math.max(getForeShoulderRadius() - getForeShoulderThickness(), 0);
 458                         cg = cg.average(ringCG(ir, 0, -getForeShoulderLength(),
 459                                         getForeShoulderThickness()-getForeShoulderLength(),
 460                                         getMaterial().getDensity()));
 461                 }
 462
 463                 if (getAftShoulderLength() > 0.001) {
 464                         final double ir = Math.max(getAftShoulderRadius() - getAftShoulderThickness(), 0);
 465                         cg = cg.average(ringCG(getAftShoulderRadius(), ir, getLength(),
 466                                         getLength()+getAftShoulderLength(), getMaterial().getDensity()));
 467                 }
 468                 if (isAftShoulderCapped()) {
 469                         final double ir = Math.max(getAftShoulderRadius() - getAftShoulderThickness(), 0);
 470                         cg = cg.average(ringCG(ir, 0,
 471                                         getLength()+getAftShoulderLength()-getAftShoulderThickness(),
 472                                         getLength()+getAftShoulderLength(), getMaterial().getDensity()));
 473                 }
 474                 return cg;
 475         }
 476
 477
 478         /*
 479          * The moments of inertia are not explicitly corrected for the shoulders.
 480          * However, since the mass is corrected, the inertia is automatically corrected
 481          * to very nearly the correct value.
 482          */
 483
 484
 485
 486         /**
 487          * Returns the name of the component ("Transition").
 488          */
 489         @Override
 490         public String getComponentName() {
 491                 return "Transition";
 492         }
 493
 494         @Override
 495         protected void componentChanged(ComponentChangeEvent e) {
 496                 super.componentChanged(e);
 497                 clipLength = -1;
 498         }
 499
 500
 501
 502         /**
 503          * An enumeration listing the possible shapes of transitions.
 504          *
 505          * @author Sampo Niskanen <sampo.niskanen@iki.fi>
 506          */
 507         public static enum Shape {
 508
 509                 /**
 510                  * Conical shape.
 511                  */
 512                 CONICAL("Conical",
 513                                 "A conical nose cone has a profile of a triangle.",
 514                                 "A conical transition has straight sides.") {
 515                         @Override
 516                         public double getRadius(double x, double radius, double length, double param) {
 517                                 assert x >= 0;
 518                                 assert x <= length;
 519                                 assert radius >= 0;
 520                                 return radius*x/length;
 521                         }
 522                 },
 523
 524                 /**
 525                  * Ogive shape.  The shape parameter is the portion of an extended tangent ogive
 526                  * that will be used.  That is, for param==1 a tangent ogive will be produced, and
 527                  * for smaller values the shape straightens out into a cone at param==0.
 528                  */
 529                 OGIVE("Ogive",
 530                                 "An ogive nose cone has a profile that is a segment of a circle.  " +
 531                                 "The shape parameter value 1 produces a <b>tangent ogive</b>, which has " +
 532                                 "a smooth transition to the body tube, values less than 1 produce "+
 533                                 "<b>secant ogives</b>.",
 534                                 "An ogive transition has a profile that is a segment of a circle.  " +
 535                                 "The shape parameter value 1 produces a <b>tangent ogive</b>, which has " +
 536                                 "a smooth transition to the body tube at the aft end, values less than 1 " +
 537                                 "produce <b>secant ogives</b>.") {
 538                         @Override
 539                         public boolean usesParameter() {
 540                                 return true;   // Range 0...1 is default
 541                         }
 542                         @Override
 543                         public double defaultParameter() {
 544                                 return 1.0;    // Tangent ogive by default
 545                         }
 546                         @Override
 547                         public double getRadius(double x, double radius, double length, double param) {
 548                                 assert x >= 0;
 549                                 assert x <= length;
 550                                 assert radius >= 0;
 551                                 assert param >= 0;
 552                                 assert param <= 1;
 553
 554                                 // Impossible to calculate ogive for length < radius, scale instead
 555                                 // TODO: LOW: secant ogive could be calculated lower
 556                                 if (length < radius) {
 557                                         x = x * radius / length;
 558                                         length = radius;
 559                                 }
 560
 561                                 if (param < 0.001)
 562                                         return CONICAL.getRadius(x, radius, length, param);
 563
 564                                 // Radius of circle is:
 565                                 double R = sqrt((pow2(length)+pow2(radius)) *
 566                                                 (pow2((2-param)*length) + pow2(param*radius))/(4*pow2(param*radius)));
 567                                 double L = length/param;
 568 //                              double R = (radius + length*length/(radius*param*param))/2;
 569                                 double y0 = sqrt(R*R - L*L);
 570                                 return sqrt(R*R - (L-x)*(L-x)) - y0;
 571                         }
 572                 },
 573
 574                 /**
 575                  * Ellipsoidal shape.
 576                  */
 577                 ELLIPSOID("Ellipsoid",
 578                                 "An ellipsoidal nose cone has a profile of a half-ellipse "+
 579                                 "with major axes of lengths 2&times;<i>Length</i> and <i>Diameter</i>.",
 580                                 "An ellipsoidal transition has a profile of a half-ellipse "+
 581                                 "with major axes of lengths 2&times;<i>Length</i> and <i>Diameter</i>.  If the "+
 582                                 "transition is not clipped, then the profile is extended at the center by the "+
 583                                 "corresponding radius.",true) {
 584                         @Override
 585                         public double getRadius(double x, double radius, double length, double param) {
 586                                 assert x >= 0;
 587                                 assert x <= length;
 588                                 assert radius >= 0;
 589                                 x = x*radius/length;
 590                                 return sqrt(2*radius*x-x*x);  // radius/length * sphere
 591                         }
 592                 },
 593
 594                 POWER("Power series",
 595                                 "A power series nose cone has a profile of "+
 596                                 "<i>Radius</i>&nbsp;&times;&nbsp;(<i>x</i>&nbsp;/&nbsp;<i>Length</i>)" +
 597                                 "<sup><i>k</i></sup> "+
 598                                 "where <i>k</i> is the shape parameter.  For <i>k</i>=0.5 this is a "+
 599                                 "<b>" + FRAC12 +"-power</b> or <b>parabolic</b> nose cone, for <i>k</i>=0.75 a "+
 600                                 "<b>" + FRAC34 +"-power</b>, and for <i>k</i>=1 a <b>conical</b> nose cone.",
 601                                 "A power series transition has a profile of "+
 602                                 "<i>Radius</i>&nbsp;&times;&nbsp;(<i>x</i>&nbsp;/&nbsp;<i>Length</i>)" +
 603                                 "<sup><i>k</i></sup> "+
 604                                 "where <i>k</i> is the shape parameter.  For <i>k</i>=0.5 the transition is "+
 605                                 "<b>" + FRAC12 + "-power</b> or <b>parabolic</b>, for <i>k</i>=0.75 a " +
 606                                 "<b>" + FRAC34 + "-power</b>, and for <i>k</i>=1 <b>conical</b>.",true) {
 607                         @Override
 608                         public boolean usesParameter() {  // Range 0...1
 609                                 return true;
 610                         }
 611                         @Override
 612                         public double defaultParameter() {
 613                                 return 0.5;
 614                         }
 615                         @Override
 616                         public double getRadius(double x, double radius, double length, double param) {
 617                                 assert x >= 0;
 618                                 assert x <= length;
 619                                 assert radius >= 0;
 620                                 assert param >= 0;
 621                                 assert param <= 1;
 622                                 if (param<=0.00001) {
 623                                         if (x<=0.00001)
 624                                                 return 0;
 625                                         else
 626                                                 return radius;
 627                                 }
 628                                 return radius*Math.pow(x/length, param);
 629                         }
 630
 631                 },
 632
 633                 PARABOLIC("Parabolic series",
 634                                 "A parabolic series nose cone has a profile of a parabola.  The shape "+
 635                                 "parameter defines the segment of the parabola to utilize.  The shape " +
 636                                 "parameter 1.0 produces a <b>full parabola</b> which is tangent to the body " +
 637                                 "tube, 0.75 produces a <b>3/4 parabola</b>, 0.5 procudes a " +
 638                                 "<b>1/2 parabola</b> and 0 produces a <b>conical</b> nose cone.",
 639                                 "A parabolic series transition has a profile of a parabola.  The shape "+
 640                                 "parameter defines the segment of the parabola to utilize.  The shape " +
 641                                 "parameter 1.0 produces a <b>full parabola</b> which is tangent to the body " +
 642                                 "tube at the aft end, 0.75 produces a <b>3/4 parabola</b>, 0.5 procudes a " +
 643                                 "<b>1/2 parabola</b> and 0 produces a <b>conical</b> transition.") {
 644
 645                         // In principle a parabolic transition is clippable, but the difference is
 646                         // negligible.
 647
 648                         @Override
 649                         public boolean usesParameter() {  // Range 0...1
 650                                 return true;
 651                         }
 652                         @Override
 653                         public double defaultParameter() {
 654                                 return 1.0;
 655                         }
 656                         @Override
 657                         public double getRadius(double x, double radius, double length, double param) {
 658                                 assert x >= 0;
 659                                 assert x <= length;
 660                                 assert radius >= 0;
 661                                 assert param >= 0;
 662                                 assert param <= 1;
 663
 664                                 return radius * ((2*x/length - param*pow2(x/length))/(2-param));
 665                         }
 666                 },
 667
 668
 669
 670                 HAACK("Haack series",
 671                                 "The Haack series nose cones are designed to minimize drag.  The shape parameter " +
 672                                 "0 produces an <b>LD-Haack</b> or <b>Von Karman</b> nose cone, which minimizes " +
 673                                 "drag for fixed length and diameter, while a value of 0.333 produces an " +
 674                                 "<b>LV-Haack</b> nose cone, which minimizes drag for fixed length and volume.",
 675                                 "The Haack series <i>nose cones</i> are designed to minimize drag.  " +
 676                                 "These transition shapes are their equivalents, but do not necessarily produce " +
 677                                 "optimal drag for transitions.  " +
 678                                 "The shape parameter 0 produces an <b>LD-Haack</b> or <b>Von Karman</b> shape, " +
 679                                 "while a value of 0.333 produces an <b>LV-Haack</b> shape.",true) {
 680                         @Override
 681                         public boolean usesParameter() {
 682                                 return true;
 683                         }
 684                         @Override
 685                         public double maxParameter() {
 686                                 return 1.0/3.0;  // Range 0...1/3
 687                         }
 688                         @Override
 689                         public double getRadius(double x, double radius, double length, double param) {
 690                                 assert x >= 0;
 691                                 assert x <= length;
 692                                 assert radius >= 0;
 693                                 assert param >= 0;
 694                                 assert param <= 2;
 695
 696                                 double theta = Math.acos(1-2*x/length);
 697                                 if (param==0) {
 698                                         return radius*sqrt((theta-sin(2*theta)/2)/Math.PI);
 699                                 }
 700                                 return radius*sqrt((theta-sin(2*theta)/2+param*pow3(sin(theta)))/Math.PI);
 701                         }
 702                 },
 703
 704 //              POLYNOMIAL("Smooth polynomial",
 705 //                              "A polynomial is fitted such that the nose cone profile is horizontal "+
 706 //                              "at the aft end of the transition.  The angle at the tip is defined by "+
 707 //                              "the shape parameter.",
 708 //                              "A polynomial is fitted such that the transition profile is horizontal "+
 709 //                              "at the aft end of the transition.  The angle at the fore end is defined "+
 710 //                              "by the shape parameter.") {
 711 //                      @Override
 712 //                      public boolean usesParameter() {
 713 //                              return true;
 714 //                      }
 715 //                      @Override
 716 //                      public double maxParameter() {
 717 //                              return 3.0;   //  Range 0...3
 718 //                      }
 719 //                      @Override
 720 //                      public double defaultParameter() {
 721 //                              return 0.0;
 722 //                      }
 723 //                      public double getRadius(double x, double radius, double length, double param) {
 724 //                              assert x >= 0;
 725 //                              assert x <= length;
 726 //                              assert radius >= 0;
 727 //                              assert param >= 0;
 728 //                              assert param <= 3;
 729 //                              // p(x) = (k-2)x^3 + (3-2k)x^2 + k*x
 730 //                              x = x/length;
 731 //                              return radius*((((param-2)*x + (3-2*param))*x + param)*x);
 732 //                      }
 733 //              }
 734                 ;
 735
 736                 // Privete fields of the shapes
 737                 private final String name;
 738                 private final String transitionDesc;
 739                 private final String noseconeDesc;
 740                 private final boolean canClip;
 741
 742                 // Non-clippable constructor
 743                 Shape(String name, String noseconeDesc, String transitionDesc) {
 744                         this(name,noseconeDesc,transitionDesc,false);
 745                 }
 746
 747                 // Clippable constructor
 748                 Shape(String name, String noseconeDesc, String transitionDesc, boolean canClip) {
 749                         this.name = name;
 750                         this.canClip = canClip;
 751                         this.noseconeDesc = noseconeDesc;
 752                         this.transitionDesc = transitionDesc;
 753                 }
 754
 755
 756                 /**
 757                  * Return the name of the transition shape name.
 758                  */
 759                 public String getName() {
 760                         return name;
 761                 }
 762
 763                 /**
 764                  * Get a description of the Transition shape.
 765                  */
 766                 public String getTransitionDescription() {
 767                         return transitionDesc;
 768                 }
 769
 770                 /**
 771                  * Get a description of the NoseCone shape.
 772                  */
 773                 public String getNoseConeDescription() {
 774                         return noseconeDesc;
 775                 }
 776
 777                 /**
 778                  * Check whether the shape differs in clipped mode.  The clipping should be
 779                  * enabled by default if possible.
 780                  */
 781                 public boolean isClippable() {
 782                         return canClip;
 783                 }
 784
 785                 /**
 786                  * Return whether the shape uses the shape parameter.  (Default false.)
 787                  */
 788                 public boolean usesParameter() {
 789                         return false;
 790                 }
 791
 792                 /**
 793                  * Return the minimum value of the shape parameter.  (Default 0.)
 794                  */
 795                 public double minParameter() {
 796                         return 0.0;
 797                 }
 798
 799                 /**
 800                  * Return the maximum value of the shape parameter.  (Default 1.)
 801                  */
 802                 public double maxParameter() {
 803                         return 1.0;
 804                 }
 805
 806                 /**
 807                  * Return the default value of the shape parameter.  (Default 0.)
 808                  */
 809                 public double defaultParameter() {
 810                         return 0.0;
 811                 }
 812
 813                 /**
 814                  * Calculate the basic radius of a transition with the given radius, length and
 815                  * shape parameter at the point x from the tip of the component.  It is assumed
 816                  * that the fore radius if zero and the aft radius is <code>radius >= 0</code>.
 817                  * Boattails are achieved by reversing the component.
 818                  *
 819                  * @param x      Position from the tip of the component.
 820                  * @param radius Aft end radius >= 0.
 821                  * @param length Length of the transition >= 0.
 822                  * @param param  Valid shape parameter.
 823                  * @return       The basic radius at the given position.
 824                  */
 825                 public abstract double getRadius(double x, double radius, double length, double param);
 826
 827
 828                 /**
 829                  * Returns the name of the shape (same as getName()).
 830                  */
 831                 @Override
 832                 public String toString() {
 833                         return name;
 834                 }
 835         }
 836 }