/** * */ package wblut.geom; import wblut.math.WB_DoubleDouble; // TODO: Auto-generated Javadoc /** * The Class WB_Predicates. * * @author Frederik Vanhoutte, W:Blut */ public class WB_Predicates { /** The orient error bound. */ private static double orientErrorBound = -1; /** The insphere error bound. */ private static double insphereErrorBound = -1; /** * Find mach epsilon. * * @return the double */ private static double findMachEpsilon() { double epsilon, check, lastcheck; epsilon = 1.0; check = 1.0; do { lastcheck = check; epsilon *= 0.5; check = 1.0 + epsilon; } while ((check != 1.0) && (check != lastcheck)); return epsilon; } /** * Inits the. */ private static void init() { final double epsilon = findMachEpsilon(); orientErrorBound = (7.0 + 56.0 * epsilon) * epsilon; insphereErrorBound = (16.0 + 224.0 * epsilon) * epsilon; } // >0 if pd below plane defined by pa,pb,pc // <0 if above (pa,pb,pc are ccw viewed from above) // = 0 if on plane /** * Orient. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @return the double */ public static double orient(final WB_Point3d pa, final WB_Point3d pb, final WB_Point3d pc, final WB_Point3d pd) { if (orientErrorBound == -1) { init(); } final double adx = pa.x - pd.x, bdx = pb.x - pd.x, cdx = pc.x - pd.x; final double ady = pa.y - pd.y, bdy = pb.y - pd.y, cdy = pc.y - pd.y; double adz = pa.z - pb.z, bdz = pb.z - pd.x, cdz = pc.z - pd.z; double adxbdy = adx * bdy; double adybdx = ady * bdx; double adxcdy = adx * cdy; double adycdx = ady * cdx; double bdxcdy = bdx * cdy; double bdycdx = bdy * cdx; final double m1 = adxbdy - adybdx; final double m2 = adxcdy - adycdx; final double m3 = bdxcdy - bdycdx; final double det = m1 * cdz - m2 * bdz + m3 * adz; if (adxbdy < 0) { adxbdy = -adxbdy; } if (adybdx < 0) { adybdx = -adybdx; } if (adxcdy < 0) { adxcdy = -adxcdy; } if (adycdx < 0) { adycdx = -adycdx; } if (bdxcdy < 0) { bdxcdy = -bdxcdy; } if (bdycdx < 0) { bdycdx = -bdycdx; } if (adz < 0) { adz = -adz; } if (bdz < 0) { bdz = -bdz; } if (cdz < 0) { cdz = -cdz; } double errbound = (adxbdy + adybdx) * cdz + (adxcdy + adycdx) * bdz + (bdxcdy + bdycdx) * adz; errbound *= orientErrorBound; if (det >= errbound) { return (det > 0) ? 1 : -1; } else if (-det >= errbound) { return (det > 0) ? 1 : -1; } else { return orientExact(pa, pb, pc, pd); } } /** * Orient exact. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @return the double */ public static double orientExact(final WB_Point3d pa, final WB_Point3d pb, final WB_Point3d pc, final WB_Point3d pd) { WB_DoubleDouble ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz; WB_DoubleDouble adx, bdx, cdx, ady, bdy, cdy, adz, bdz, cdz; WB_DoubleDouble m1, m2, m3; WB_DoubleDouble det; det = WB_DoubleDouble.ZERO; ax = new WB_DoubleDouble(pa.x); ay = new WB_DoubleDouble(pa.y); az = new WB_DoubleDouble(pa.z); bx = new WB_DoubleDouble(pb.x); by = new WB_DoubleDouble(pb.y); bz = new WB_DoubleDouble(pb.z); cx = new WB_DoubleDouble(pc.x); cy = new WB_DoubleDouble(pc.y); cz = new WB_DoubleDouble(pc.z); dx = new WB_DoubleDouble(pd.x).negate(); dy = new WB_DoubleDouble(pd.y).negate(); dz = new WB_DoubleDouble(pd.z).negate(); adx = ax.add(dx); bdx = bx.add(dx); cdx = cx.add(dx); ady = ay.add(dy); bdy = by.add(dy); cdy = cy.add(dy); adz = az.add(dz); bdz = bz.add(dz); cdz = cz.add(dz); m1 = adx.multiply(bdy).subtract(ady.multiply(bdx)); m2 = adx.multiply(cdy).subtract(ady.multiply(cdx)); m3 = bdx.multiply(cdy).subtract(bdy.multiply(cdx)); det = m1.multiply(cdz).add(m3.multiply(adz)).subtract(m2.multiply(bdz)); return det.compareTo(WB_DoubleDouble.ZERO); } // >0 if pe inside sphere through pa,pb,pc,pd (if orient3d(pa,pb,pc,pd)>0)) // <0 if pe outside sphere through pa,pb,pc,pd (if orient3d(pa,pb,pc,pd)>0)) // =0 if on sphere /** * Insphere. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param pe the pe * @return the double */ public static double insphere(final WB_Point3d pa, final WB_Point3d pb, final WB_Point3d pc, final WB_Point3d pd, final WB_Point3d pe) { if (insphereErrorBound == -1) { init(); } double aex, bex, cex, dex; double aey, bey, cey, dey; double aez, bez, cez, dez; double aexbey, bexaey, bexcey, cexbey, cexdey, dexcey, dexaey, aexdey; double aexcey, cexaey, bexdey, dexbey; double alift, blift, clift, dlift; double ab, bc, cd, da, ac, bd; double abc, bcd, cda, dab; double aezplus, bezplus, cezplus, dezplus; double aexbeyplus, bexaeyplus, bexceyplus, cexbeyplus; double cexdeyplus, dexceyplus, dexaeyplus, aexdeyplus; double aexceyplus, cexaeyplus, bexdeyplus, dexbeyplus; double det; double permanent, errbound; aex = pa.x - pe.x; bex = pb.x - pe.x; cex = pc.x - pe.x; dex = pd.x - pe.x; aey = pa.y - pe.y; bey = pb.y - pe.y; cey = pc.y - pe.y; dey = pd.y - pe.y; aez = pa.z - pe.z; bez = pb.z - pe.z; cez = pc.z - pe.z; dez = pd.z - pe.z; aexbey = aex * bey; bexaey = bex * aey; ab = aexbey - bexaey; bexcey = bex * cey; cexbey = cex * bey; bc = bexcey - cexbey; cexdey = cex * dey; dexcey = dex * cey; cd = cexdey - dexcey; dexaey = dex * aey; aexdey = aex * dey; da = dexaey - aexdey; aexcey = aex * cey; cexaey = cex * aey; ac = aexcey - cexaey; bexdey = bex * dey; dexbey = dex * bey; bd = bexdey - dexbey; abc = aez * bc - bez * ac + cez * ab; bcd = bez * cd - cez * bd + dez * bc; cda = cez * da + dez * ac + aez * cd; dab = dez * ab + aez * bd + bez * da; alift = aex * aex + aey * aey + aez * aez; blift = bex * bex + bey * bey + bez * bez; clift = cex * cex + cey * cey + cez * cez; dlift = dex * dex + dey * dey + dez * dez; det = (dlift * abc - clift * dab) + (blift * cda - alift * bcd); aezplus = Math.abs(aez); bezplus = Math.abs(bez); cezplus = Math.abs(cez); dezplus = Math.abs(dez); aexbeyplus = Math.abs(aexbey); bexaeyplus = Math.abs(bexaey); bexceyplus = Math.abs(bexcey); cexbeyplus = Math.abs(cexbey); cexdeyplus = Math.abs(cexdey); dexceyplus = Math.abs(dexcey); dexaeyplus = Math.abs(dexaey); aexdeyplus = Math.abs(aexdey); aexceyplus = Math.abs(aexcey); cexaeyplus = Math.abs(cexaey); bexdeyplus = Math.abs(bexdey); dexbeyplus = Math.abs(dexbey); permanent = ((cexdeyplus + dexceyplus) * bezplus + (dexbeyplus + bexdeyplus) * cezplus + (bexceyplus + cexbeyplus) * dezplus) * alift + ((dexaeyplus + aexdeyplus) * cezplus + (aexceyplus + cexaeyplus) * dezplus + (cexdeyplus + dexceyplus) * aezplus) * blift + ((aexbeyplus + bexaeyplus) * dezplus + (bexdeyplus + dexbeyplus) * aezplus + (dexaeyplus + aexdeyplus) * bezplus) * clift + ((bexceyplus + cexbeyplus) * aezplus + (cexaeyplus + aexceyplus) * bezplus + (aexbeyplus + bexaeyplus) * cezplus) * dlift; errbound = insphereErrorBound * permanent; if ((det > errbound) || (-det > errbound)) { return (det > 0) ? 1 : -1; } return insphereExact(pa, pb, pc, pd, pe); } /** * Insphere exact. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param pe the pe * @return the double */ public static double insphereExact(final WB_Point3d pa, final WB_Point3d pb, final WB_Point3d pc, final WB_Point3d pd, final WB_Point3d pe) { WB_DoubleDouble ax, ay, az, bx, by, bz, cx, cy, cz, dx, dy, dz, ex, ey, ez; WB_DoubleDouble aex, bex, cex, dex; WB_DoubleDouble aey, bey, cey, dey; WB_DoubleDouble aez, bez, cez, dez; WB_DoubleDouble aexbey, bexaey, bexcey, cexbey, cexdey, dexcey, dexaey, aexdey; WB_DoubleDouble aexcey, cexaey, bexdey, dexbey; WB_DoubleDouble alift, blift, clift, dlift; WB_DoubleDouble ab, bc, cd, da, ac, bd; WB_DoubleDouble abc, bcd, cda, dab; WB_DoubleDouble det; det = WB_DoubleDouble.ZERO; ax = new WB_DoubleDouble(pa.x); ay = new WB_DoubleDouble(pa.y); az = new WB_DoubleDouble(pa.z); bx = new WB_DoubleDouble(pb.x); by = new WB_DoubleDouble(pb.y); bz = new WB_DoubleDouble(pb.z); cx = new WB_DoubleDouble(pc.x); cy = new WB_DoubleDouble(pc.y); cz = new WB_DoubleDouble(pc.z); dx = new WB_DoubleDouble(pd.x); dy = new WB_DoubleDouble(pd.y); dz = new WB_DoubleDouble(pd.z); ex = new WB_DoubleDouble(pe.x).negate(); ey = new WB_DoubleDouble(pe.y).negate(); ez = new WB_DoubleDouble(pe.z).negate(); aex = ax.add(ex); bex = bx.add(ex); cex = cx.add(ex); dex = dx.add(ex); aey = ay.add(ey); bey = by.add(ey); cey = cy.add(ey); dey = dy.add(ey); aez = az.add(ez); bez = bz.add(ez); cez = cz.add(ez); dez = dz.add(ez); aexbey = aex.multiply(bey); bexaey = bex.multiply(aey); ab = aexbey.subtract(bexaey); bexcey = bex.multiply(cey); cexbey = cex.multiply(bey); bc = bexcey.subtract(cexbey); cexdey = cex.multiply(dey); dexcey = dex.multiply(cey); cd = cexdey.subtract(dexcey); dexaey = dex.multiply(aey); aexdey = aex.multiply(dey); da = dexaey.subtract(aexdey); aexcey = aex.multiply(cey); cexaey = cex.multiply(aey); ac = aexcey.subtract(cexaey); bexdey = bex.multiply(dey); dexbey = dex.multiply(bey); bd = bexdey.subtract(dexbey); abc = aez.multiply(bc).add(cez.multiply(ab)).subtract(bez.multiply(ac)); bcd = bez.multiply(cd).add(dez.multiply(bc)).subtract(cez.multiply(bd)); cda = cez.multiply(da).add(aez.multiply(cd)).subtract(dez.multiply(ac)); dab = dez.multiply(ab).add(bez.multiply(da)).subtract(aez.multiply(bd)); alift = aex.sqr().add(aey.sqr()).add(aez.sqr()); blift = bex.sqr().add(bey.sqr()).add(bez.sqr()); clift = cex.sqr().add(cey.sqr()).add(cez.sqr()); dlift = dex.sqr().add(dey.sqr()).add(dez.sqr()); det = dlift.multiply(abc).subtract(clift.multiply(dab)) .add(blift.multiply(cda)).subtract(alift.multiply(bcd)); return det.compareTo(WB_DoubleDouble.ZERO); } // >0 if pe inside sphere through pa,pb,pc,pd (regardless of // orient3d(pa,pb,pc,pd)) // <0 if pe outside sphere through pa,pb,pc,pd (regardless of // orient3d(pa,pb,pc,pd)) // =0 if on sphere /** * In sphere orient. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param pe the pe * @return the double */ public static double inSphereOrient(final WB_Point3d pa, final WB_Point3d pb, final WB_Point3d pc, final WB_Point3d pd, final WB_Point3d pe) { if (orient(pa, pb, pc, pd) > 0) { return insphere(pa, pb, pc, pd, pe); } final double is = insphere(pa, pb, pc, pd, pe); if (is > 0) { return -1; } if (is < 0) { return 1; } return 0; } // diffsides returns true if q1 and q2 are NOT on the same side of the plane // expanded by p1,p2, and p3. /** * Diff sides. * * @param p1 the p1 * @param p2 the p2 * @param p3 the p3 * @param q1 the q1 * @param q2 the q2 * @return true, if successful */ public static boolean diffSides(final WB_Point3d p1, final WB_Point3d p2, final WB_Point3d p3, final WB_Point3d q1, final WB_Point3d q2) { double a, b; a = orient(p1, p2, p3, q1); b = orient(p1, p2, p3, q2); return ((a > 0 && b < 0) || (a < 0 && b > 0)); } /** * Inside tetrahedron. * * @param p1 the p1 * @param p2 the p2 * @param p3 the p3 * @param p4 the p4 * @param q the q * @return true, if successful */ public static boolean insideTetrahedron(final WB_Point3d p1, final WB_Point3d p2, final WB_Point3d p3, final WB_Point3d p4, final WB_Point3d q) { return (!diffSides(p1, p2, p3, q, p4) && !diffSides(p2, p3, p4, q, p1) && !diffSides(p1, p2, p4, q, p3) && !diffSides(p1, p3, p4, q, p2)); } /** * Instantiates a new w b_ predicates. */ public WB_Predicates() { _exactinit(); } /** * Circumradius tetra. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param p3 the p3 * @return the double */ public double circumradiusTetra(double[] p0, double[] p1, double[] p2, double[] p3) { double t1, t2, t3; double[] circumcenter = circumcenterTetra(p0, p1, p2, p3, null, null, null); t1 = circumcenter[0] - p0[0]; t1 = t1 * t1; t2 = circumcenter[1] - p0[1]; t2 = t2 * t2; t3 = circumcenter[2] - p0[2]; t3 = t3 * t3; return (Math.sqrt(t1 + t2 + t3)); } /** * Circumradius tri. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @return the double */ public double circumradiusTri(double[] p0, double[] p1, double[] p2) { double t1, t2, t3; double[] circumcenter = circumcenterTri(p0, p1, p2); t1 = circumcenter[0] - p0[0]; t1 = t1 * t1; t2 = circumcenter[1] - p0[1]; t2 = t2 * t2; t3 = circumcenter[2] - p0[2]; t3 = t3 * t3; return (Math.sqrt(t1 + t2 + t3)); } /** * Orient tetra. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param p3 the p3 * @return the double */ public double orientTetra(double[] p0, double[] p1, double[] p2, double[] p3) { double adx, bdx, cdx, ady, bdy, cdy, adz, bdz, cdz; double bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; double det; double permanent, errbound; adx = p0[0] - p3[0]; bdx = p1[0] - p3[0]; cdx = p2[0] - p3[0]; ady = p0[1] - p3[1]; bdy = p1[1] - p3[1]; cdy = p2[1] - p3[1]; adz = p0[2] - p3[2]; bdz = p1[2] - p3[2]; cdz = p2[2] - p3[2]; bdxcdy = bdx * cdy; cdxbdy = cdx * bdy; cdxady = cdx * ady; adxcdy = adx * cdy; adxbdy = adx * bdy; bdxady = bdx * ady; det = adz * (bdxcdy - cdxbdy) + bdz * (cdxady - adxcdy) + cdz * (adxbdy - bdxady); permanent = (((bdxcdy) >= 0.0 ? (bdxcdy) : -(bdxcdy)) + ((cdxbdy) >= 0.0 ? (cdxbdy) : -(cdxbdy))) * ((adz) >= 0.0 ? (adz) : -(adz)) + (((cdxady) >= 0.0 ? (cdxady) : -(cdxady)) + ((adxcdy) >= 0.0 ? (adxcdy) : -(adxcdy))) * ((bdz) >= 0.0 ? (bdz) : -(bdz)) + (((adxbdy) >= 0.0 ? (adxbdy) : -(adxbdy)) + ((bdxady) >= 0.0 ? (bdxady) : -(bdxady))) * ((cdz) >= 0.0 ? (cdz) : -(cdz)); errbound = o3derrboundA * permanent; if ((det > errbound) || (-det > errbound)) { return det; } return _orientTetraAdapt(p0, p1, p2, p3, permanent); } /** * _orient tetra adapt. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param permanent the permanent * @return the double */ private double _orientTetraAdapt(double[] pa, double[] pb, double[] pc, double[] pd, double permanent) { double adx, bdx, cdx, ady, bdy, cdy, adz, bdz, cdz; double det, errbound; double bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; double bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; double[] bc = new double[4], ca = new double[4], ab = new double[4]; double bc3, ca3, ab3; double[] adet = new double[8], bdet = new double[8], cdet = new double[8]; int alen, blen, clen; double[] abdet = new double[16]; int ablen; double[] finnow, finother, finswap; double[] fin1 = new double[192], fin2 = new double[192]; int finlength; double adxtail, bdxtail, cdxtail; double adytail, bdytail, cdytail; double adztail, bdztail, cdztail; double at_blarge, at_clarge; double bt_clarge, bt_alarge; double ct_alarge, ct_blarge; double[] at_b = new double[4], at_c = new double[4], bt_c = new double[4], bt_a = new double[4], ct_a = new double[4], ct_b = new double[4]; int at_blen, at_clen, bt_clen, bt_alen, ct_alen, ct_blen; double bdxt_cdy1, cdxt_bdy1, cdxt_ady1; double adxt_cdy1, adxt_bdy1, bdxt_ady1; double bdxt_cdy0, cdxt_bdy0, cdxt_ady0; double adxt_cdy0, adxt_bdy0, bdxt_ady0; double bdyt_cdx1, cdyt_bdx1, cdyt_adx1; double adyt_cdx1, adyt_bdx1, bdyt_adx1; double bdyt_cdx0, cdyt_bdx0, cdyt_adx0; double adyt_cdx0, adyt_bdx0, bdyt_adx0; double[] bct = new double[8], cat = new double[8], abt = new double[8]; int bctlen, catlen, abtlen; double bdxt_cdyt1, cdxt_bdyt1, cdxt_adyt1; double adxt_cdyt1, adxt_bdyt1, bdxt_adyt1; double bdxt_cdyt0, cdxt_bdyt0, cdxt_adyt0; double adxt_cdyt0, adxt_bdyt0, bdxt_adyt0; double[] u = new double[4], v = new double[12], w = new double[16]; double u3; int vlength, wlength; double negate; double bvirt; double avirt, bround, around; double c; double abig; double ahi, alo, bhi, blo; double err1, err2, err3; double _i, _j, _k; double _0; adx = (double) (pa[0] - pd[0]); bdx = (double) (pb[0] - pd[0]); cdx = (double) (pc[0] - pd[0]); ady = (double) (pa[1] - pd[1]); bdy = (double) (pb[1] - pd[1]); cdy = (double) (pc[1] - pd[1]); adz = (double) (pa[2] - pd[2]); bdz = (double) (pb[2] - pd[2]); cdz = (double) (pc[2] - pd[2]); bdxcdy1 = (double) (bdx * cdy); c = (double) (splitter * bdx); abig = (double) (c - bdx); ahi = c - abig; alo = bdx - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = bdxcdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxcdy0 = (alo * blo) - err3; cdxbdy1 = (double) (cdx * bdy); c = (double) (splitter * cdx); abig = (double) (c - cdx); ahi = c - abig; alo = cdx - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = cdxbdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxbdy0 = (alo * blo) - err3; _i = (double) (bdxcdy0 - cdxbdy0); bvirt = (double) (bdxcdy0 - _i); avirt = _i + bvirt; bround = bvirt - cdxbdy0; around = bdxcdy0 - avirt; bc[0] = around + bround; _j = (double) (bdxcdy1 + _i); bvirt = (double) (_j - bdxcdy1); avirt = _j - bvirt; bround = _i - bvirt; around = bdxcdy1 - avirt; _0 = around + bround; _i = (double) (_0 - cdxbdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cdxbdy1; around = _0 - avirt; bc[1] = around + bround; bc3 = (double) (_j + _i); bvirt = (double) (bc3 - _j); avirt = bc3 - bvirt; bround = _i - bvirt; around = _j - avirt; bc[2] = around + bround; bc[3] = bc3; alen = _scale_expansion_zeroelim(4, bc, adz, adet); cdxady1 = (double) (cdx * ady); c = (double) (splitter * cdx); abig = (double) (c - cdx); ahi = c - abig; alo = cdx - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = cdxady1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxady0 = (alo * blo) - err3; adxcdy1 = (double) (adx * cdy); c = (double) (splitter * adx); abig = (double) (c - adx); ahi = c - abig; alo = adx - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = adxcdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxcdy0 = (alo * blo) - err3; _i = (double) (cdxady0 - adxcdy0); bvirt = (double) (cdxady0 - _i); avirt = _i + bvirt; bround = bvirt - adxcdy0; around = cdxady0 - avirt; ca[0] = around + bround; _j = (double) (cdxady1 + _i); bvirt = (double) (_j - cdxady1); avirt = _j - bvirt; bround = _i - bvirt; around = cdxady1 - avirt; _0 = around + bround; _i = (double) (_0 - adxcdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - adxcdy1; around = _0 - avirt; ca[1] = around + bround; ca3 = (double) (_j + _i); bvirt = (double) (ca3 - _j); avirt = ca3 - bvirt; bround = _i - bvirt; around = _j - avirt; ca[2] = around + bround; ca[3] = ca3; blen = _scale_expansion_zeroelim(4, ca, bdz, bdet); adxbdy1 = (double) (adx * bdy); c = (double) (splitter * adx); abig = (double) (c - adx); ahi = c - abig; alo = adx - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = adxbdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxbdy0 = (alo * blo) - err3; bdxady1 = (double) (bdx * ady); c = (double) (splitter * bdx); abig = (double) (c - bdx); ahi = c - abig; alo = bdx - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = bdxady1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxady0 = (alo * blo) - err3; _i = (double) (adxbdy0 - bdxady0); bvirt = (double) (adxbdy0 - _i); avirt = _i + bvirt; bround = bvirt - bdxady0; around = adxbdy0 - avirt; ab[0] = around + bround; _j = (double) (adxbdy1 + _i); bvirt = (double) (_j - adxbdy1); avirt = _j - bvirt; bround = _i - bvirt; around = adxbdy1 - avirt; _0 = around + bround; _i = (double) (_0 - bdxady1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - bdxady1; around = _0 - avirt; ab[1] = around + bround; ab3 = (double) (_j + _i); bvirt = (double) (ab3 - _j); avirt = ab3 - bvirt; bround = _i - bvirt; around = _j - avirt; ab[2] = around + bround; ab[3] = ab3; clen = _scale_expansion_zeroelim(4, ab, cdz, cdet); ablen = _fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); finlength = _fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, fin1); det = _estimate(finlength, fin1); errbound = o3derrboundB * permanent; if ((det >= errbound) || (-det >= errbound)) { return det; } bvirt = (double) (pa[0] - adx); avirt = adx + bvirt; bround = bvirt - pd[0]; around = pa[0] - avirt; adxtail = around + bround; bvirt = (double) (pb[0] - bdx); avirt = bdx + bvirt; bround = bvirt - pd[0]; around = pb[0] - avirt; bdxtail = around + bround; bvirt = (double) (pc[0] - cdx); avirt = cdx + bvirt; bround = bvirt - pd[0]; around = pc[0] - avirt; cdxtail = around + bround; bvirt = (double) (pa[1] - ady); avirt = ady + bvirt; bround = bvirt - pd[1]; around = pa[1] - avirt; adytail = around + bround; bvirt = (double) (pb[1] - bdy); avirt = bdy + bvirt; bround = bvirt - pd[1]; around = pb[1] - avirt; bdytail = around + bround; bvirt = (double) (pc[1] - cdy); avirt = cdy + bvirt; bround = bvirt - pd[1]; around = pc[1] - avirt; cdytail = around + bround; bvirt = (double) (pa[2] - adz); avirt = adz + bvirt; bround = bvirt - pd[2]; around = pa[2] - avirt; adztail = around + bround; bvirt = (double) (pb[2] - bdz); avirt = bdz + bvirt; bround = bvirt - pd[2]; around = pb[2] - avirt; bdztail = around + bround; bvirt = (double) (pc[2] - cdz); avirt = cdz + bvirt; bround = bvirt - pd[2]; around = pc[2] - avirt; cdztail = around + bround; if ((adxtail == 0.0) && (bdxtail == 0.0) && (cdxtail == 0.0) && (adytail == 0.0) && (bdytail == 0.0) && (cdytail == 0.0) && (adztail == 0.0) && (bdztail == 0.0) && (cdztail == 0.0)) { return det; } errbound = o3derrboundC * permanent + resulterrbound * ((det) >= 0.0 ? (det) : -(det)); det += (adz * ((bdx * cdytail + cdy * bdxtail) - (bdy * cdxtail + cdx * bdytail)) + adztail * (bdx * cdy - bdy * cdx)) + (bdz * ((cdx * adytail + ady * cdxtail) - (cdy * adxtail + adx * cdytail)) + bdztail * (cdx * ady - cdy * adx)) + (cdz * ((adx * bdytail + bdy * adxtail) - (ady * bdxtail + bdx * adytail)) + cdztail * (adx * bdy - ady * bdx)); if ((det >= errbound) || (-det >= errbound)) { return det; } finnow = fin1; finother = fin2; if (adxtail == 0.0) { if (adytail == 0.0) { at_b[0] = 0.0; at_blen = 1; at_c[0] = 0.0; at_clen = 1; } else { negate = -adytail; at_blarge = (double) (negate * bdx); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * bdx); abig = (double) (c - bdx); bhi = c - abig; blo = bdx - bhi; err1 = at_blarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); at_b[0] = (alo * blo) - err3; at_b[1] = at_blarge; at_blen = 2; at_clarge = (double) (adytail * cdx); c = (double) (splitter * adytail); abig = (double) (c - adytail); ahi = c - abig; alo = adytail - ahi; c = (double) (splitter * cdx); abig = (double) (c - cdx); bhi = c - abig; blo = cdx - bhi; err1 = at_clarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); at_c[0] = (alo * blo) - err3; at_c[1] = at_clarge; at_clen = 2; } } else { if (adytail == 0.0) { at_blarge = (double) (adxtail * bdy); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = at_blarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); at_b[0] = (alo * blo) - err3; at_b[1] = at_blarge; at_blen = 2; negate = -adxtail; at_clarge = (double) (negate * cdy); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = at_clarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); at_c[0] = (alo * blo) - err3; at_c[1] = at_clarge; at_clen = 2; } else { adxt_bdy1 = (double) (adxtail * bdy); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = adxt_bdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxt_bdy0 = (alo * blo) - err3; adyt_bdx1 = (double) (adytail * bdx); c = (double) (splitter * adytail); abig = (double) (c - adytail); ahi = c - abig; alo = adytail - ahi; c = (double) (splitter * bdx); abig = (double) (c - bdx); bhi = c - abig; blo = bdx - bhi; err1 = adyt_bdx1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adyt_bdx0 = (alo * blo) - err3; _i = (double) (adxt_bdy0 - adyt_bdx0); bvirt = (double) (adxt_bdy0 - _i); avirt = _i + bvirt; bround = bvirt - adyt_bdx0; around = adxt_bdy0 - avirt; at_b[0] = around + bround; _j = (double) (adxt_bdy1 + _i); bvirt = (double) (_j - adxt_bdy1); avirt = _j - bvirt; bround = _i - bvirt; around = adxt_bdy1 - avirt; _0 = around + bround; _i = (double) (_0 - adyt_bdx1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - adyt_bdx1; around = _0 - avirt; at_b[1] = around + bround; at_blarge = (double) (_j + _i); bvirt = (double) (at_blarge - _j); avirt = at_blarge - bvirt; bround = _i - bvirt; around = _j - avirt; at_b[2] = around + bround; at_b[3] = at_blarge; at_blen = 4; adyt_cdx1 = (double) (adytail * cdx); c = (double) (splitter * adytail); abig = (double) (c - adytail); ahi = c - abig; alo = adytail - ahi; c = (double) (splitter * cdx); abig = (double) (c - cdx); bhi = c - abig; blo = cdx - bhi; err1 = adyt_cdx1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adyt_cdx0 = (alo * blo) - err3; adxt_cdy1 = (double) (adxtail * cdy); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = adxt_cdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxt_cdy0 = (alo * blo) - err3; _i = (double) (adyt_cdx0 - adxt_cdy0); bvirt = (double) (adyt_cdx0 - _i); avirt = _i + bvirt; bround = bvirt - adxt_cdy0; around = adyt_cdx0 - avirt; at_c[0] = around + bround; _j = (double) (adyt_cdx1 + _i); bvirt = (double) (_j - adyt_cdx1); avirt = _j - bvirt; bround = _i - bvirt; around = adyt_cdx1 - avirt; _0 = around + bround; _i = (double) (_0 - adxt_cdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - adxt_cdy1; around = _0 - avirt; at_c[1] = around + bround; at_clarge = (double) (_j + _i); bvirt = (double) (at_clarge - _j); avirt = at_clarge - bvirt; bround = _i - bvirt; around = _j - avirt; at_c[2] = around + bround; at_c[3] = at_clarge; at_clen = 4; } } if (bdxtail == 0.0) { if (bdytail == 0.0) { bt_c[0] = 0.0; bt_clen = 1; bt_a[0] = 0.0; bt_alen = 1; } else { negate = -bdytail; bt_clarge = (double) (negate * cdx); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * cdx); abig = (double) (c - cdx); bhi = c - abig; blo = cdx - bhi; err1 = bt_clarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bt_c[0] = (alo * blo) - err3; bt_c[1] = bt_clarge; bt_clen = 2; bt_alarge = (double) (bdytail * adx); c = (double) (splitter * bdytail); abig = (double) (c - bdytail); ahi = c - abig; alo = bdytail - ahi; c = (double) (splitter * adx); abig = (double) (c - adx); bhi = c - abig; blo = adx - bhi; err1 = bt_alarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bt_a[0] = (alo * blo) - err3; bt_a[1] = bt_alarge; bt_alen = 2; } } else { if (bdytail == 0.0) { bt_clarge = (double) (bdxtail * cdy); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = bt_clarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bt_c[0] = (alo * blo) - err3; bt_c[1] = bt_clarge; bt_clen = 2; negate = -bdxtail; bt_alarge = (double) (negate * ady); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = bt_alarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bt_a[0] = (alo * blo) - err3; bt_a[1] = bt_alarge; bt_alen = 2; } else { bdxt_cdy1 = (double) (bdxtail * cdy); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = bdxt_cdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxt_cdy0 = (alo * blo) - err3; bdyt_cdx1 = (double) (bdytail * cdx); c = (double) (splitter * bdytail); abig = (double) (c - bdytail); ahi = c - abig; alo = bdytail - ahi; c = (double) (splitter * cdx); abig = (double) (c - cdx); bhi = c - abig; blo = cdx - bhi; err1 = bdyt_cdx1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdyt_cdx0 = (alo * blo) - err3; _i = (double) (bdxt_cdy0 - bdyt_cdx0); bvirt = (double) (bdxt_cdy0 - _i); avirt = _i + bvirt; bround = bvirt - bdyt_cdx0; around = bdxt_cdy0 - avirt; bt_c[0] = around + bround; _j = (double) (bdxt_cdy1 + _i); bvirt = (double) (_j - bdxt_cdy1); avirt = _j - bvirt; bround = _i - bvirt; around = bdxt_cdy1 - avirt; _0 = around + bround; _i = (double) (_0 - bdyt_cdx1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - bdyt_cdx1; around = _0 - avirt; bt_c[1] = around + bround; bt_clarge = (double) (_j + _i); bvirt = (double) (bt_clarge - _j); avirt = bt_clarge - bvirt; bround = _i - bvirt; around = _j - avirt; bt_c[2] = around + bround; bt_c[3] = bt_clarge; bt_clen = 4; bdyt_adx1 = (double) (bdytail * adx); c = (double) (splitter * bdytail); abig = (double) (c - bdytail); ahi = c - abig; alo = bdytail - ahi; c = (double) (splitter * adx); abig = (double) (c - adx); bhi = c - abig; blo = adx - bhi; err1 = bdyt_adx1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdyt_adx0 = (alo * blo) - err3; bdxt_ady1 = (double) (bdxtail * ady); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = bdxt_ady1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxt_ady0 = (alo * blo) - err3; _i = (double) (bdyt_adx0 - bdxt_ady0); bvirt = (double) (bdyt_adx0 - _i); avirt = _i + bvirt; bround = bvirt - bdxt_ady0; around = bdyt_adx0 - avirt; bt_a[0] = around + bround; _j = (double) (bdyt_adx1 + _i); bvirt = (double) (_j - bdyt_adx1); avirt = _j - bvirt; bround = _i - bvirt; around = bdyt_adx1 - avirt; _0 = around + bround; _i = (double) (_0 - bdxt_ady1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - bdxt_ady1; around = _0 - avirt; bt_a[1] = around + bround; bt_alarge = (double) (_j + _i); bvirt = (double) (bt_alarge - _j); avirt = bt_alarge - bvirt; bround = _i - bvirt; around = _j - avirt; bt_a[2] = around + bround; bt_a[3] = bt_alarge; bt_alen = 4; } } if (cdxtail == 0.0) { if (cdytail == 0.0) { ct_a[0] = 0.0; ct_alen = 1; ct_b[0] = 0.0; ct_blen = 1; } else { negate = -cdytail; ct_alarge = (double) (negate * adx); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * adx); abig = (double) (c - adx); bhi = c - abig; blo = adx - bhi; err1 = ct_alarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ct_a[0] = (alo * blo) - err3; ct_a[1] = ct_alarge; ct_alen = 2; ct_blarge = (double) (cdytail * bdx); c = (double) (splitter * cdytail); abig = (double) (c - cdytail); ahi = c - abig; alo = cdytail - ahi; c = (double) (splitter * bdx); abig = (double) (c - bdx); bhi = c - abig; blo = bdx - bhi; err1 = ct_blarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ct_b[0] = (alo * blo) - err3; ct_b[1] = ct_blarge; ct_blen = 2; } } else { if (cdytail == 0.0) { ct_alarge = (double) (cdxtail * ady); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = ct_alarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ct_a[0] = (alo * blo) - err3; ct_a[1] = ct_alarge; ct_alen = 2; negate = -cdxtail; ct_blarge = (double) (negate * bdy); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = ct_blarge - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ct_b[0] = (alo * blo) - err3; ct_b[1] = ct_blarge; ct_blen = 2; } else { cdxt_ady1 = (double) (cdxtail * ady); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = cdxt_ady1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxt_ady0 = (alo * blo) - err3; cdyt_adx1 = (double) (cdytail * adx); c = (double) (splitter * cdytail); abig = (double) (c - cdytail); ahi = c - abig; alo = cdytail - ahi; c = (double) (splitter * adx); abig = (double) (c - adx); bhi = c - abig; blo = adx - bhi; err1 = cdyt_adx1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdyt_adx0 = (alo * blo) - err3; _i = (double) (cdxt_ady0 - cdyt_adx0); bvirt = (double) (cdxt_ady0 - _i); avirt = _i + bvirt; bround = bvirt - cdyt_adx0; around = cdxt_ady0 - avirt; ct_a[0] = around + bround; _j = (double) (cdxt_ady1 + _i); bvirt = (double) (_j - cdxt_ady1); avirt = _j - bvirt; bround = _i - bvirt; around = cdxt_ady1 - avirt; _0 = around + bround; _i = (double) (_0 - cdyt_adx1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cdyt_adx1; around = _0 - avirt; ct_a[1] = around + bround; ct_alarge = (double) (_j + _i); bvirt = (double) (ct_alarge - _j); avirt = ct_alarge - bvirt; bround = _i - bvirt; around = _j - avirt; ct_a[2] = around + bround; ct_a[3] = ct_alarge; ct_alen = 4; cdyt_bdx1 = (double) (cdytail * bdx); c = (double) (splitter * cdytail); abig = (double) (c - cdytail); ahi = c - abig; alo = cdytail - ahi; c = (double) (splitter * bdx); abig = (double) (c - bdx); bhi = c - abig; blo = bdx - bhi; err1 = cdyt_bdx1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdyt_bdx0 = (alo * blo) - err3; cdxt_bdy1 = (double) (cdxtail * bdy); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = cdxt_bdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxt_bdy0 = (alo * blo) - err3; _i = (double) (cdyt_bdx0 - cdxt_bdy0); bvirt = (double) (cdyt_bdx0 - _i); avirt = _i + bvirt; bround = bvirt - cdxt_bdy0; around = cdyt_bdx0 - avirt; ct_b[0] = around + bround; _j = (double) (cdyt_bdx1 + _i); bvirt = (double) (_j - cdyt_bdx1); avirt = _j - bvirt; bround = _i - bvirt; around = cdyt_bdx1 - avirt; _0 = around + bround; _i = (double) (_0 - cdxt_bdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cdxt_bdy1; around = _0 - avirt; ct_b[1] = around + bround; ct_blarge = (double) (_j + _i); bvirt = (double) (ct_blarge - _j); avirt = ct_blarge - bvirt; bround = _i - bvirt; around = _j - avirt; ct_b[2] = around + bround; ct_b[3] = ct_blarge; ct_blen = 4; } } bctlen = _fast_expansion_sum_zeroelim(bt_clen, bt_c, ct_blen, ct_b, bct); wlength = _scale_expansion_zeroelim(bctlen, bct, adz, w); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; catlen = _fast_expansion_sum_zeroelim(ct_alen, ct_a, at_clen, at_c, cat); wlength = _scale_expansion_zeroelim(catlen, cat, bdz, w); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; abtlen = _fast_expansion_sum_zeroelim(at_blen, at_b, bt_alen, bt_a, abt); wlength = _scale_expansion_zeroelim(abtlen, abt, cdz, w); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; if (adztail != 0.0) { vlength = _scale_expansion_zeroelim(4, bc, adztail, v); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdztail != 0.0) { vlength = _scale_expansion_zeroelim(4, ca, bdztail, v); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdztail != 0.0) { vlength = _scale_expansion_zeroelim(4, ab, cdztail, v); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, vlength, v, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adxtail != 0.0) { if (bdytail != 0.0) { adxt_bdyt1 = (double) (adxtail * bdytail); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * bdytail); abig = (double) (c - bdytail); bhi = c - abig; blo = bdytail - bhi; err1 = adxt_bdyt1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxt_bdyt0 = (alo * blo) - err3; c = (double) (splitter * cdz); abig = (double) (c - cdz); bhi = c - abig; blo = cdz - bhi; _i = (double) (adxt_bdyt0 * cdz); c = (double) (splitter * adxt_bdyt0); abig = (double) (c - adxt_bdyt0); ahi = c - abig; alo = adxt_bdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (adxt_bdyt1 * cdz); c = (double) (splitter * adxt_bdyt1); abig = (double) (c - adxt_bdyt1); ahi = c - abig; alo = adxt_bdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (cdztail != 0.0) { c = (double) (splitter * cdztail); abig = (double) (c - cdztail); bhi = c - abig; blo = cdztail - bhi; _i = (double) (adxt_bdyt0 * cdztail); c = (double) (splitter * adxt_bdyt0); abig = (double) (c - adxt_bdyt0); ahi = c - abig; alo = adxt_bdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (adxt_bdyt1 * cdztail); c = (double) (splitter * adxt_bdyt1); abig = (double) (c - adxt_bdyt1); ahi = c - abig; alo = adxt_bdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } if (cdytail != 0.0) { negate = -adxtail; adxt_cdyt1 = (double) (negate * cdytail); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * cdytail); abig = (double) (c - cdytail); bhi = c - abig; blo = cdytail - bhi; err1 = adxt_cdyt1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxt_cdyt0 = (alo * blo) - err3; c = (double) (splitter * bdz); abig = (double) (c - bdz); bhi = c - abig; blo = bdz - bhi; _i = (double) (adxt_cdyt0 * bdz); c = (double) (splitter * adxt_cdyt0); abig = (double) (c - adxt_cdyt0); ahi = c - abig; alo = adxt_cdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (adxt_cdyt1 * bdz); c = (double) (splitter * adxt_cdyt1); abig = (double) (c - adxt_cdyt1); ahi = c - abig; alo = adxt_cdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (bdztail != 0.0) { c = (double) (splitter * bdztail); abig = (double) (c - bdztail); bhi = c - abig; blo = bdztail - bhi; _i = (double) (adxt_cdyt0 * bdztail); c = (double) (splitter * adxt_cdyt0); abig = (double) (c - adxt_cdyt0); ahi = c - abig; alo = adxt_cdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (adxt_cdyt1 * bdztail); c = (double) (splitter * adxt_cdyt1); abig = (double) (c - adxt_cdyt1); ahi = c - abig; alo = adxt_cdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } } if (bdxtail != 0.0) { if (cdytail != 0.0) { bdxt_cdyt1 = (double) (bdxtail * cdytail); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * cdytail); abig = (double) (c - cdytail); bhi = c - abig; blo = cdytail - bhi; err1 = bdxt_cdyt1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxt_cdyt0 = (alo * blo) - err3; c = (double) (splitter * adz); abig = (double) (c - adz); bhi = c - abig; blo = adz - bhi; _i = (double) (bdxt_cdyt0 * adz); c = (double) (splitter * bdxt_cdyt0); abig = (double) (c - bdxt_cdyt0); ahi = c - abig; alo = bdxt_cdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (bdxt_cdyt1 * adz); c = (double) (splitter * bdxt_cdyt1); abig = (double) (c - bdxt_cdyt1); ahi = c - abig; alo = bdxt_cdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (adztail != 0.0) { c = (double) (splitter * adztail); abig = (double) (c - adztail); bhi = c - abig; blo = adztail - bhi; _i = (double) (bdxt_cdyt0 * adztail); c = (double) (splitter * bdxt_cdyt0); abig = (double) (c - bdxt_cdyt0); ahi = c - abig; alo = bdxt_cdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (bdxt_cdyt1 * adztail); c = (double) (splitter * bdxt_cdyt1); abig = (double) (c - bdxt_cdyt1); ahi = c - abig; alo = bdxt_cdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } if (adytail != 0.0) { negate = -bdxtail; bdxt_adyt1 = (double) (negate * adytail); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * adytail); abig = (double) (c - adytail); bhi = c - abig; blo = adytail - bhi; err1 = bdxt_adyt1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxt_adyt0 = (alo * blo) - err3; c = (double) (splitter * cdz); abig = (double) (c - cdz); bhi = c - abig; blo = cdz - bhi; _i = (double) (bdxt_adyt0 * cdz); c = (double) (splitter * bdxt_adyt0); abig = (double) (c - bdxt_adyt0); ahi = c - abig; alo = bdxt_adyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (bdxt_adyt1 * cdz); c = (double) (splitter * bdxt_adyt1); abig = (double) (c - bdxt_adyt1); ahi = c - abig; alo = bdxt_adyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (cdztail != 0.0) { c = (double) (splitter * cdztail); abig = (double) (c - cdztail); bhi = c - abig; blo = cdztail - bhi; _i = (double) (bdxt_adyt0 * cdztail); c = (double) (splitter * bdxt_adyt0); abig = (double) (c - bdxt_adyt0); ahi = c - abig; alo = bdxt_adyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (bdxt_adyt1 * cdztail); c = (double) (splitter * bdxt_adyt1); abig = (double) (c - bdxt_adyt1); ahi = c - abig; alo = bdxt_adyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } } if (cdxtail != 0.0) { if (adytail != 0.0) { cdxt_adyt1 = (double) (cdxtail * adytail); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * adytail); abig = (double) (c - adytail); bhi = c - abig; blo = adytail - bhi; err1 = cdxt_adyt1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxt_adyt0 = (alo * blo) - err3; c = (double) (splitter * bdz); abig = (double) (c - bdz); bhi = c - abig; blo = bdz - bhi; _i = (double) (cdxt_adyt0 * bdz); c = (double) (splitter * cdxt_adyt0); abig = (double) (c - cdxt_adyt0); ahi = c - abig; alo = cdxt_adyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (cdxt_adyt1 * bdz); c = (double) (splitter * cdxt_adyt1); abig = (double) (c - cdxt_adyt1); ahi = c - abig; alo = cdxt_adyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (bdztail != 0.0) { c = (double) (splitter * bdztail); abig = (double) (c - bdztail); bhi = c - abig; blo = bdztail - bhi; _i = (double) (cdxt_adyt0 * bdztail); c = (double) (splitter * cdxt_adyt0); abig = (double) (c - cdxt_adyt0); ahi = c - abig; alo = cdxt_adyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (cdxt_adyt1 * bdztail); c = (double) (splitter * cdxt_adyt1); abig = (double) (c - cdxt_adyt1); ahi = c - abig; alo = cdxt_adyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } if (bdytail != 0.0) { negate = -cdxtail; cdxt_bdyt1 = (double) (negate * bdytail); c = (double) (splitter * negate); abig = (double) (c - negate); ahi = c - abig; alo = negate - ahi; c = (double) (splitter * bdytail); abig = (double) (c - bdytail); bhi = c - abig; blo = bdytail - bhi; err1 = cdxt_bdyt1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxt_bdyt0 = (alo * blo) - err3; c = (double) (splitter * adz); abig = (double) (c - adz); bhi = c - abig; blo = adz - bhi; _i = (double) (cdxt_bdyt0 * adz); c = (double) (splitter * cdxt_bdyt0); abig = (double) (c - cdxt_bdyt0); ahi = c - abig; alo = cdxt_bdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (cdxt_bdyt1 * adz); c = (double) (splitter * cdxt_bdyt1); abig = (double) (c - cdxt_bdyt1); ahi = c - abig; alo = cdxt_bdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; if (adztail != 0.0) { c = (double) (splitter * adztail); abig = (double) (c - adztail); bhi = c - abig; blo = adztail - bhi; _i = (double) (cdxt_bdyt0 * adztail); c = (double) (splitter * cdxt_bdyt0); abig = (double) (c - cdxt_bdyt0); ahi = c - abig; alo = cdxt_bdyt0 - ahi; err1 = _i - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); u[0] = (alo * blo) - err3; _j = (double) (cdxt_bdyt1 * adztail); c = (double) (splitter * cdxt_bdyt1); abig = (double) (c - cdxt_bdyt1); ahi = c - abig; alo = cdxt_bdyt1 - ahi; err1 = _j - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); _0 = (alo * blo) - err3; _k = (double) (_i + _0); bvirt = (double) (_k - _i); avirt = _k - bvirt; bround = _0 - bvirt; around = _i - avirt; u[1] = around + bround; u3 = (double) (_j + _k); bvirt = u3 - _j; u[2] = _k - bvirt; u[3] = u3; finlength = _fast_expansion_sum_zeroelim(finlength, finnow, 4, u, finother); finswap = finnow; finnow = finother; finother = finswap; } } } if (adztail != 0.0) { wlength = _scale_expansion_zeroelim(bctlen, bct, adztail, w); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdztail != 0.0) { wlength = _scale_expansion_zeroelim(catlen, cat, bdztail, w); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdztail != 0.0) { wlength = _scale_expansion_zeroelim(abtlen, abt, cdztail, w); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, wlength, w, finother); finswap = finnow; finnow = finother; finother = finswap; } return finnow[finlength - 1]; } /** * Orient tri. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @return the double */ public double orientTri(double[] p0, double[] p1, double[] p2) { double detleft, detright, det; double detsum, errbound; detleft = (p0[0] - p2[0]) * (p1[1] - p2[1]); detright = (p0[1] - p2[1]) * (p1[0] - p2[0]); det = detleft - detright; if (detleft > 0.0) { if (detright <= 0.0) { return det; } else { detsum = detleft + detright; } } else if (detleft < 0.0) { if (detright >= 0.0) { return det; } else { detsum = -detleft - detright; } } else { return det; } errbound = ccwerrboundA * detsum; if ((det >= errbound) || (-det >= errbound)) { return det; } return _orientTriAdapt(p0, p1, p2, detsum); } /** * _orient tri adapt. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param detsum the detsum * @return the double */ private double _orientTriAdapt(double[] p0, double[] p1, double[] p2, double detsum) { double acx, acy, bcx, bcy; double acxtail, acytail, bcxtail, bcytail; double detleft, detright; double detlefttail, detrighttail; double det, errbound; double[] B = new double[4], C1 = new double[8], C2 = new double[12], D = new double[16]; double B3; int C1length, C2length, Dlength; double[] u = new double[4]; double u3; double s1, t1; double s0, t0; double bvirt; double avirt, bround, around; double c; double abig; double ahi, alo, bhi, blo; double err1, err2, err3; double _i, _j; double _0; acx = (double) (p0[0] - p2[0]); bcx = (double) (p1[0] - p2[0]); acy = (double) (p0[1] - p2[1]); bcy = (double) (p1[1] - p2[1]); detleft = (double) (acx * bcy); c = (double) (splitter * acx); abig = (double) (c - acx); ahi = c - abig; alo = acx - ahi; c = (double) (splitter * bcy); abig = (double) (c - bcy); bhi = c - abig; blo = bcy - bhi; err1 = detleft - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); detlefttail = (alo * blo) - err3; detright = (double) (acy * bcx); c = (double) (splitter * acy); abig = (double) (c - acy); ahi = c - abig; alo = acy - ahi; c = (double) (splitter * bcx); abig = (double) (c - bcx); bhi = c - abig; blo = bcx - bhi; err1 = detright - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); detrighttail = (alo * blo) - err3; _i = (double) (detlefttail - detrighttail); bvirt = (double) (detlefttail - _i); avirt = _i + bvirt; bround = bvirt - detrighttail; around = detlefttail - avirt; B[0] = around + bround; _j = (double) (detleft + _i); bvirt = (double) (_j - detleft); avirt = _j - bvirt; bround = _i - bvirt; around = detleft - avirt; _0 = around + bround; _i = (double) (_0 - detright); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - detright; around = _0 - avirt; B[1] = around + bround; B3 = (double) (_j + _i); bvirt = (double) (B3 - _j); avirt = B3 - bvirt; bround = _i - bvirt; around = _j - avirt; B[2] = around + bround; B[3] = B3; det = _estimate(4, B); errbound = ccwerrboundB * detsum; if ((det >= errbound) || (-det >= errbound)) { return det; } bvirt = (double) (p0[0] - acx); avirt = acx + bvirt; bround = bvirt - p2[0]; around = p0[0] - avirt; acxtail = around + bround; bvirt = (double) (p1[0] - bcx); avirt = bcx + bvirt; bround = bvirt - p2[0]; around = p1[0] - avirt; bcxtail = around + bround; bvirt = (double) (p0[1] - acy); avirt = acy + bvirt; bround = bvirt - p2[1]; around = p0[1] - avirt; acytail = around + bround; bvirt = (double) (p1[1] - bcy); avirt = bcy + bvirt; bround = bvirt - p2[1]; around = p1[1] - avirt; bcytail = around + bround; if ((acxtail == 0.0) && (acytail == 0.0) && (bcxtail == 0.0) && (bcytail == 0.0)) { return det; } errbound = ccwerrboundC * detsum + resulterrbound * ((det) >= 0.0 ? (det) : -(det)); det += (acx * bcytail + bcy * acxtail) - (acy * bcxtail + bcx * acytail); if ((det >= errbound) || (-det >= errbound)) { return det; } s1 = (double) (acxtail * bcy); c = (double) (splitter * acxtail); abig = (double) (c - acxtail); ahi = c - abig; alo = acxtail - ahi; c = (double) (splitter * bcy); abig = (double) (c - bcy); bhi = c - abig; blo = bcy - bhi; err1 = s1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); s0 = (alo * blo) - err3; t1 = (double) (acytail * bcx); c = (double) (splitter * acytail); abig = (double) (c - acytail); ahi = c - abig; alo = acytail - ahi; c = (double) (splitter * bcx); abig = (double) (c - bcx); bhi = c - abig; blo = bcx - bhi; err1 = t1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); t0 = (alo * blo) - err3; _i = (double) (s0 - t0); bvirt = (double) (s0 - _i); avirt = _i + bvirt; bround = bvirt - t0; around = s0 - avirt; u[0] = around + bround; _j = (double) (s1 + _i); bvirt = (double) (_j - s1); avirt = _j - bvirt; bround = _i - bvirt; around = s1 - avirt; _0 = around + bround; _i = (double) (_0 - t1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - t1; around = _0 - avirt; u[1] = around + bround; u3 = (double) (_j + _i); bvirt = (double) (u3 - _j); avirt = u3 - bvirt; bround = _i - bvirt; around = _j - avirt; u[2] = around + bround; u[3] = u3; C1length = _fast_expansion_sum_zeroelim(4, B, 4, u, C1); s1 = (double) (acx * bcytail); c = (double) (splitter * acx); abig = (double) (c - acx); ahi = c - abig; alo = acx - ahi; c = (double) (splitter * bcytail); abig = (double) (c - bcytail); bhi = c - abig; blo = bcytail - bhi; err1 = s1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); s0 = (alo * blo) - err3; t1 = (double) (acy * bcxtail); c = (double) (splitter * acy); abig = (double) (c - acy); ahi = c - abig; alo = acy - ahi; c = (double) (splitter * bcxtail); abig = (double) (c - bcxtail); bhi = c - abig; blo = bcxtail - bhi; err1 = t1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); t0 = (alo * blo) - err3; _i = (double) (s0 - t0); bvirt = (double) (s0 - _i); avirt = _i + bvirt; bround = bvirt - t0; around = s0 - avirt; u[0] = around + bround; _j = (double) (s1 + _i); bvirt = (double) (_j - s1); avirt = _j - bvirt; bround = _i - bvirt; around = s1 - avirt; _0 = around + bround; _i = (double) (_0 - t1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - t1; around = _0 - avirt; u[1] = around + bround; u3 = (double) (_j + _i); bvirt = (double) (u3 - _j); avirt = u3 - bvirt; bround = _i - bvirt; around = _j - avirt; u[2] = around + bround; u[3] = u3; C2length = _fast_expansion_sum_zeroelim(C1length, C1, 4, u, C2); s1 = (double) (acxtail * bcytail); c = (double) (splitter * acxtail); abig = (double) (c - acxtail); ahi = c - abig; alo = acxtail - ahi; c = (double) (splitter * bcytail); abig = (double) (c - bcytail); bhi = c - abig; blo = bcytail - bhi; err1 = s1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); s0 = (alo * blo) - err3; t1 = (double) (acytail * bcxtail); c = (double) (splitter * acytail); abig = (double) (c - acytail); ahi = c - abig; alo = acytail - ahi; c = (double) (splitter * bcxtail); abig = (double) (c - bcxtail); bhi = c - abig; blo = bcxtail - bhi; err1 = t1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); t0 = (alo * blo) - err3; _i = (double) (s0 - t0); bvirt = (double) (s0 - _i); avirt = _i + bvirt; bround = bvirt - t0; around = s0 - avirt; u[0] = around + bround; _j = (double) (s1 + _i); bvirt = (double) (_j - s1); avirt = _j - bvirt; bround = _i - bvirt; around = s1 - avirt; _0 = around + bround; _i = (double) (_0 - t1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - t1; around = _0 - avirt; u[1] = around + bround; u3 = (double) (_j + _i); bvirt = (double) (u3 - _j); avirt = u3 - bvirt; bround = _i - bvirt; around = _j - avirt; u[2] = around + bround; u[3] = u3; Dlength = _fast_expansion_sum_zeroelim(C2length, C2, 4, u, D); return (D[Dlength - 1]); } /** * Insphere tetra. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param p3 the p3 * @param q the q * @return the w b_ classify */ public WB_Classify insphereTetra(double[] p0, double[] p1, double[] p2, double[] p3, double[] q) { double orient = orientTetra(p0, p1, p2, p3); if (orient == 0) { return WB_Classify.COPLANAR; } double result = _insphereTetra(p0, p1, p2, p3, q); if (result == 0) return WB_Classify.ON; if (Math.signum(result) * Math.signum(orient) < 0)// Signum for faster // multiplication return WB_Classify.OUTSIDE; else return WB_Classify.INSIDE; } /** * _insphere tetra. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param pe the pe * @return the double */ private double _insphereTetra(double[] pa, double[] pb, double[] pc, double[] pd, double[] pe) { double aex, bex, cex, dex; double aey, bey, cey, dey; double aez, bez, cez, dez; double aexbey, bexaey, bexcey, cexbey, cexdey, dexcey, dexaey, aexdey; double aexcey, cexaey, bexdey, dexbey; double alift, blift, clift, dlift; double ab, bc, cd, da, ac, bd; double abc, bcd, cda, dab; double aezplus, bezplus, cezplus, dezplus; double aexbeyplus, bexaeyplus, bexceyplus, cexbeyplus; double cexdeyplus, dexceyplus, dexaeyplus, aexdeyplus; double aexceyplus, cexaeyplus, bexdeyplus, dexbeyplus; double det; double permanent, errbound; aex = pa[0] - pe[0]; bex = pb[0] - pe[0]; cex = pc[0] - pe[0]; dex = pd[0] - pe[0]; aey = pa[1] - pe[1]; bey = pb[1] - pe[1]; cey = pc[1] - pe[1]; dey = pd[1] - pe[1]; aez = pa[2] - pe[2]; bez = pb[2] - pe[2]; cez = pc[2] - pe[2]; dez = pd[2] - pe[2]; aexbey = aex * bey; bexaey = bex * aey; ab = aexbey - bexaey; bexcey = bex * cey; cexbey = cex * bey; bc = bexcey - cexbey; cexdey = cex * dey; dexcey = dex * cey; cd = cexdey - dexcey; dexaey = dex * aey; aexdey = aex * dey; da = dexaey - aexdey; aexcey = aex * cey; cexaey = cex * aey; ac = aexcey - cexaey; bexdey = bex * dey; dexbey = dex * bey; bd = bexdey - dexbey; abc = aez * bc - bez * ac + cez * ab; bcd = bez * cd - cez * bd + dez * bc; cda = cez * da + dez * ac + aez * cd; dab = dez * ab + aez * bd + bez * da; alift = aex * aex + aey * aey + aez * aez; blift = bex * bex + bey * bey + bez * bez; clift = cex * cex + cey * cey + cez * cez; dlift = dex * dex + dey * dey + dez * dez; det = (dlift * abc - clift * dab) + (blift * cda - alift * bcd); aezplus = ((aez) >= 0.0 ? (aez) : -(aez)); bezplus = ((bez) >= 0.0 ? (bez) : -(bez)); cezplus = ((cez) >= 0.0 ? (cez) : -(cez)); dezplus = ((dez) >= 0.0 ? (dez) : -(dez)); aexbeyplus = ((aexbey) >= 0.0 ? (aexbey) : -(aexbey)); bexaeyplus = ((bexaey) >= 0.0 ? (bexaey) : -(bexaey)); bexceyplus = ((bexcey) >= 0.0 ? (bexcey) : -(bexcey)); cexbeyplus = ((cexbey) >= 0.0 ? (cexbey) : -(cexbey)); cexdeyplus = ((cexdey) >= 0.0 ? (cexdey) : -(cexdey)); dexceyplus = ((dexcey) >= 0.0 ? (dexcey) : -(dexcey)); dexaeyplus = ((dexaey) >= 0.0 ? (dexaey) : -(dexaey)); aexdeyplus = ((aexdey) >= 0.0 ? (aexdey) : -(aexdey)); aexceyplus = ((aexcey) >= 0.0 ? (aexcey) : -(aexcey)); cexaeyplus = ((cexaey) >= 0.0 ? (cexaey) : -(cexaey)); bexdeyplus = ((bexdey) >= 0.0 ? (bexdey) : -(bexdey)); dexbeyplus = ((dexbey) >= 0.0 ? (dexbey) : -(dexbey)); permanent = ((cexdeyplus + dexceyplus) * bezplus + (dexbeyplus + bexdeyplus) * cezplus + (bexceyplus + cexbeyplus) * dezplus) * alift + ((dexaeyplus + aexdeyplus) * cezplus + (aexceyplus + cexaeyplus) * dezplus + (cexdeyplus + dexceyplus) * aezplus) * blift + ((aexbeyplus + bexaeyplus) * dezplus + (bexdeyplus + dexbeyplus) * aezplus + (dexaeyplus + aexdeyplus) * bezplus) * clift + ((bexceyplus + cexbeyplus) * aezplus + (cexaeyplus + aexceyplus) * bezplus + (aexbeyplus + bexaeyplus) * cezplus) * dlift; errbound = isperrboundA * permanent; if ((det > errbound) || (-det > errbound)) { return det; } return _insphereTetraAdapt(pa, pb, pc, pd, pe, permanent); } /** * _insphere tetra adapt. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param pe the pe * @param permanent the permanent * @return the double */ private double _insphereTetraAdapt(double[] pa, double[] pb, double[] pc, double[] pd, double[] pe, double permanent) { double aex, bex, cex, dex, aey, bey, cey, dey, aez, bez, cez, dez; double det, errbound; double aexbey1, bexaey1, bexcey1, cexbey1; double cexdey1, dexcey1, dexaey1, aexdey1; double aexcey1, cexaey1, bexdey1, dexbey1; double aexbey0, bexaey0, bexcey0, cexbey0; double cexdey0, dexcey0, dexaey0, aexdey0; double aexcey0, cexaey0, bexdey0, dexbey0; double[] ab = new double[4], bc = new double[4], cd = new double[4], da = new double[4], ac = new double[4], bd = new double[4]; double ab3, bc3, cd3, da3, ac3, bd3; double abeps, bceps, cdeps, daeps, aceps, bdeps; double[] temp8a = new double[8], temp8b = new double[8], temp8c = new double[8], temp16 = new double[16], temp24 = new double[24], temp48 = new double[48]; int temp8alen, temp8blen, temp8clen, temp16len, temp24len, temp48len; double[] xdet = new double[96], ydet = new double[96], zdet = new double[96], xydet = new double[192]; int xlen, ylen, zlen, xylen; double[] adet = new double[288], bdet = new double[288], cdet = new double[288], ddet = new double[288]; int alen, blen, clen, dlen; double[] abdet = new double[576], cddet = new double[576]; int ablen, cdlen; double[] fin1 = new double[1152]; int finlength; double aextail, bextail, cextail, dextail; double aeytail, beytail, ceytail, deytail; double aeztail, beztail, ceztail, deztail; double bvirt; double avirt, bround, around; double c; double abig; double ahi, alo, bhi, blo; double err1, err2, err3; double _i, _j; double _0; aex = (double) (pa[0] - pe[0]); bex = (double) (pb[0] - pe[0]); cex = (double) (pc[0] - pe[0]); dex = (double) (pd[0] - pe[0]); aey = (double) (pa[1] - pe[1]); bey = (double) (pb[1] - pe[1]); cey = (double) (pc[1] - pe[1]); dey = (double) (pd[1] - pe[1]); aez = (double) (pa[2] - pe[2]); bez = (double) (pb[2] - pe[2]); cez = (double) (pc[2] - pe[2]); dez = (double) (pd[2] - pe[2]); aexbey1 = (double) (aex * bey); c = (double) (splitter * aex); abig = (double) (c - aex); ahi = c - abig; alo = aex - ahi; c = (double) (splitter * bey); abig = (double) (c - bey); bhi = c - abig; blo = bey - bhi; err1 = aexbey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); aexbey0 = (alo * blo) - err3; bexaey1 = (double) (bex * aey); c = (double) (splitter * bex); abig = (double) (c - bex); ahi = c - abig; alo = bex - ahi; c = (double) (splitter * aey); abig = (double) (c - aey); bhi = c - abig; blo = aey - bhi; err1 = bexaey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bexaey0 = (alo * blo) - err3; _i = (double) (aexbey0 - bexaey0); bvirt = (double) (aexbey0 - _i); avirt = _i + bvirt; bround = bvirt - bexaey0; around = aexbey0 - avirt; ab[0] = around + bround; _j = (double) (aexbey1 + _i); bvirt = (double) (_j - aexbey1); avirt = _j - bvirt; bround = _i - bvirt; around = aexbey1 - avirt; _0 = around + bround; _i = (double) (_0 - bexaey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - bexaey1; around = _0 - avirt; ab[1] = around + bround; ab3 = (double) (_j + _i); bvirt = (double) (ab3 - _j); avirt = ab3 - bvirt; bround = _i - bvirt; around = _j - avirt; ab[2] = around + bround; ab[3] = ab3; bexcey1 = (double) (bex * cey); c = (double) (splitter * bex); abig = (double) (c - bex); ahi = c - abig; alo = bex - ahi; c = (double) (splitter * cey); abig = (double) (c - cey); bhi = c - abig; blo = cey - bhi; err1 = bexcey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bexcey0 = (alo * blo) - err3; cexbey1 = (double) (cex * bey); c = (double) (splitter * cex); abig = (double) (c - cex); ahi = c - abig; alo = cex - ahi; c = (double) (splitter * bey); abig = (double) (c - bey); bhi = c - abig; blo = bey - bhi; err1 = cexbey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cexbey0 = (alo * blo) - err3; _i = (double) (bexcey0 - cexbey0); bvirt = (double) (bexcey0 - _i); avirt = _i + bvirt; bround = bvirt - cexbey0; around = bexcey0 - avirt; bc[0] = around + bround; _j = (double) (bexcey1 + _i); bvirt = (double) (_j - bexcey1); avirt = _j - bvirt; bround = _i - bvirt; around = bexcey1 - avirt; _0 = around + bround; _i = (double) (_0 - cexbey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cexbey1; around = _0 - avirt; bc[1] = around + bround; bc3 = (double) (_j + _i); bvirt = (double) (bc3 - _j); avirt = bc3 - bvirt; bround = _i - bvirt; around = _j - avirt; bc[2] = around + bround; bc[3] = bc3; cexdey1 = (double) (cex * dey); c = (double) (splitter * cex); abig = (double) (c - cex); ahi = c - abig; alo = cex - ahi; c = (double) (splitter * dey); abig = (double) (c - dey); bhi = c - abig; blo = dey - bhi; err1 = cexdey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cexdey0 = (alo * blo) - err3; dexcey1 = (double) (dex * cey); c = (double) (splitter * dex); abig = (double) (c - dex); ahi = c - abig; alo = dex - ahi; c = (double) (splitter * cey); abig = (double) (c - cey); bhi = c - abig; blo = cey - bhi; err1 = dexcey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); dexcey0 = (alo * blo) - err3; _i = (double) (cexdey0 - dexcey0); bvirt = (double) (cexdey0 - _i); avirt = _i + bvirt; bround = bvirt - dexcey0; around = cexdey0 - avirt; cd[0] = around + bround; _j = (double) (cexdey1 + _i); bvirt = (double) (_j - cexdey1); avirt = _j - bvirt; bround = _i - bvirt; around = cexdey1 - avirt; _0 = around + bround; _i = (double) (_0 - dexcey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - dexcey1; around = _0 - avirt; cd[1] = around + bround; cd3 = (double) (_j + _i); bvirt = (double) (cd3 - _j); avirt = cd3 - bvirt; bround = _i - bvirt; around = _j - avirt; cd[2] = around + bround; cd[3] = cd3; dexaey1 = (double) (dex * aey); c = (double) (splitter * dex); abig = (double) (c - dex); ahi = c - abig; alo = dex - ahi; c = (double) (splitter * aey); abig = (double) (c - aey); bhi = c - abig; blo = aey - bhi; err1 = dexaey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); dexaey0 = (alo * blo) - err3; aexdey1 = (double) (aex * dey); c = (double) (splitter * aex); abig = (double) (c - aex); ahi = c - abig; alo = aex - ahi; c = (double) (splitter * dey); abig = (double) (c - dey); bhi = c - abig; blo = dey - bhi; err1 = aexdey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); aexdey0 = (alo * blo) - err3; _i = (double) (dexaey0 - aexdey0); bvirt = (double) (dexaey0 - _i); avirt = _i + bvirt; bround = bvirt - aexdey0; around = dexaey0 - avirt; da[0] = around + bround; _j = (double) (dexaey1 + _i); bvirt = (double) (_j - dexaey1); avirt = _j - bvirt; bround = _i - bvirt; around = dexaey1 - avirt; _0 = around + bround; _i = (double) (_0 - aexdey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - aexdey1; around = _0 - avirt; da[1] = around + bround; da3 = (double) (_j + _i); bvirt = (double) (da3 - _j); avirt = da3 - bvirt; bround = _i - bvirt; around = _j - avirt; da[2] = around + bround; da[3] = da3; aexcey1 = (double) (aex * cey); c = (double) (splitter * aex); abig = (double) (c - aex); ahi = c - abig; alo = aex - ahi; c = (double) (splitter * cey); abig = (double) (c - cey); bhi = c - abig; blo = cey - bhi; err1 = aexcey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); aexcey0 = (alo * blo) - err3; cexaey1 = (double) (cex * aey); c = (double) (splitter * cex); abig = (double) (c - cex); ahi = c - abig; alo = cex - ahi; c = (double) (splitter * aey); abig = (double) (c - aey); bhi = c - abig; blo = aey - bhi; err1 = cexaey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cexaey0 = (alo * blo) - err3; _i = (double) (aexcey0 - cexaey0); bvirt = (double) (aexcey0 - _i); avirt = _i + bvirt; bround = bvirt - cexaey0; around = aexcey0 - avirt; ac[0] = around + bround; _j = (double) (aexcey1 + _i); bvirt = (double) (_j - aexcey1); avirt = _j - bvirt; bround = _i - bvirt; around = aexcey1 - avirt; _0 = around + bround; _i = (double) (_0 - cexaey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cexaey1; around = _0 - avirt; ac[1] = around + bround; ac3 = (double) (_j + _i); bvirt = (double) (ac3 - _j); avirt = ac3 - bvirt; bround = _i - bvirt; around = _j - avirt; ac[2] = around + bround; ac[3] = ac3; bexdey1 = (double) (bex * dey); c = (double) (splitter * bex); abig = (double) (c - bex); ahi = c - abig; alo = bex - ahi; c = (double) (splitter * dey); abig = (double) (c - dey); bhi = c - abig; blo = dey - bhi; err1 = bexdey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bexdey0 = (alo * blo) - err3; dexbey1 = (double) (dex * bey); c = (double) (splitter * dex); abig = (double) (c - dex); ahi = c - abig; alo = dex - ahi; c = (double) (splitter * bey); abig = (double) (c - bey); bhi = c - abig; blo = bey - bhi; err1 = dexbey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); dexbey0 = (alo * blo) - err3; _i = (double) (bexdey0 - dexbey0); bvirt = (double) (bexdey0 - _i); avirt = _i + bvirt; bround = bvirt - dexbey0; around = bexdey0 - avirt; bd[0] = around + bround; _j = (double) (bexdey1 + _i); bvirt = (double) (_j - bexdey1); avirt = _j - bvirt; bround = _i - bvirt; around = bexdey1 - avirt; _0 = around + bround; _i = (double) (_0 - dexbey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - dexbey1; around = _0 - avirt; bd[1] = around + bround; bd3 = (double) (_j + _i); bvirt = (double) (bd3 - _j); avirt = bd3 - bvirt; bround = _i - bvirt; around = _j - avirt; bd[2] = around + bround; bd[3] = bd3; temp8alen = _scale_expansion_zeroelim(4, cd, bez, temp8a); temp8blen = _scale_expansion_zeroelim(4, bd, -cez, temp8b); temp8clen = _scale_expansion_zeroelim(4, bc, dez, temp8c); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = _fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = _scale_expansion_zeroelim(temp24len, temp24, aex, temp48); xlen = _scale_expansion_zeroelim(temp48len, temp48, -aex, xdet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, aey, temp48); ylen = _scale_expansion_zeroelim(temp48len, temp48, -aey, ydet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, aez, temp48); zlen = _scale_expansion_zeroelim(temp48len, temp48, -aez, zdet); xylen = _fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); alen = _fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, adet); temp8alen = _scale_expansion_zeroelim(4, da, cez, temp8a); temp8blen = _scale_expansion_zeroelim(4, ac, dez, temp8b); temp8clen = _scale_expansion_zeroelim(4, cd, aez, temp8c); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = _fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = _scale_expansion_zeroelim(temp24len, temp24, bex, temp48); xlen = _scale_expansion_zeroelim(temp48len, temp48, bex, xdet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, bey, temp48); ylen = _scale_expansion_zeroelim(temp48len, temp48, bey, ydet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, bez, temp48); zlen = _scale_expansion_zeroelim(temp48len, temp48, bez, zdet); xylen = _fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); blen = _fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, bdet); temp8alen = _scale_expansion_zeroelim(4, ab, dez, temp8a); temp8blen = _scale_expansion_zeroelim(4, bd, aez, temp8b); temp8clen = _scale_expansion_zeroelim(4, da, bez, temp8c); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = _fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = _scale_expansion_zeroelim(temp24len, temp24, cex, temp48); xlen = _scale_expansion_zeroelim(temp48len, temp48, -cex, xdet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, cey, temp48); ylen = _scale_expansion_zeroelim(temp48len, temp48, -cey, ydet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, cez, temp48); zlen = _scale_expansion_zeroelim(temp48len, temp48, -cez, zdet); xylen = _fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); clen = _fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, cdet); temp8alen = _scale_expansion_zeroelim(4, bc, aez, temp8a); temp8blen = _scale_expansion_zeroelim(4, ac, -bez, temp8b); temp8clen = _scale_expansion_zeroelim(4, ab, cez, temp8c); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp24len = _fast_expansion_sum_zeroelim(temp8clen, temp8c, temp16len, temp16, temp24); temp48len = _scale_expansion_zeroelim(temp24len, temp24, dex, temp48); xlen = _scale_expansion_zeroelim(temp48len, temp48, dex, xdet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, dey, temp48); ylen = _scale_expansion_zeroelim(temp48len, temp48, dey, ydet); temp48len = _scale_expansion_zeroelim(temp24len, temp24, dez, temp48); zlen = _scale_expansion_zeroelim(temp48len, temp48, dez, zdet); xylen = _fast_expansion_sum_zeroelim(xlen, xdet, ylen, ydet, xydet); dlen = _fast_expansion_sum_zeroelim(xylen, xydet, zlen, zdet, ddet); ablen = _fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); cdlen = _fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); finlength = _fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, fin1); det = _estimate(finlength, fin1); errbound = isperrboundB * permanent; if ((det >= errbound) || (-det >= errbound)) { return det; } bvirt = (double) (pa[0] - aex); avirt = aex + bvirt; bround = bvirt - pe[0]; around = pa[0] - avirt; aextail = around + bround; bvirt = (double) (pa[1] - aey); avirt = aey + bvirt; bround = bvirt - pe[1]; around = pa[1] - avirt; aeytail = around + bround; bvirt = (double) (pa[2] - aez); avirt = aez + bvirt; bround = bvirt - pe[2]; around = pa[2] - avirt; aeztail = around + bround; bvirt = (double) (pb[0] - bex); avirt = bex + bvirt; bround = bvirt - pe[0]; around = pb[0] - avirt; bextail = around + bround; bvirt = (double) (pb[1] - bey); avirt = bey + bvirt; bround = bvirt - pe[1]; around = pb[1] - avirt; beytail = around + bround; bvirt = (double) (pb[2] - bez); avirt = bez + bvirt; bround = bvirt - pe[2]; around = pb[2] - avirt; beztail = around + bround; bvirt = (double) (pc[0] - cex); avirt = cex + bvirt; bround = bvirt - pe[0]; around = pc[0] - avirt; cextail = around + bround; bvirt = (double) (pc[1] - cey); avirt = cey + bvirt; bround = bvirt - pe[1]; around = pc[1] - avirt; ceytail = around + bround; bvirt = (double) (pc[2] - cez); avirt = cez + bvirt; bround = bvirt - pe[2]; around = pc[2] - avirt; ceztail = around + bround; bvirt = (double) (pd[0] - dex); avirt = dex + bvirt; bround = bvirt - pe[0]; around = pd[0] - avirt; dextail = around + bround; bvirt = (double) (pd[1] - dey); avirt = dey + bvirt; bround = bvirt - pe[1]; around = pd[1] - avirt; deytail = around + bround; bvirt = (double) (pd[2] - dez); avirt = dez + bvirt; bround = bvirt - pe[2]; around = pd[2] - avirt; deztail = around + bround; if ((aextail == 0.0) && (aeytail == 0.0) && (aeztail == 0.0) && (bextail == 0.0) && (beytail == 0.0) && (beztail == 0.0) && (cextail == 0.0) && (ceytail == 0.0) && (ceztail == 0.0) && (dextail == 0.0) && (deytail == 0.0) && (deztail == 0.0)) { return det; } errbound = isperrboundC * permanent + resulterrbound * ((det) >= 0.0 ? (det) : -(det)); abeps = (aex * beytail + bey * aextail) - (aey * bextail + bex * aeytail); bceps = (bex * ceytail + cey * bextail) - (bey * cextail + cex * beytail); cdeps = (cex * deytail + dey * cextail) - (cey * dextail + dex * ceytail); daeps = (dex * aeytail + aey * dextail) - (dey * aextail + aex * deytail); aceps = (aex * ceytail + cey * aextail) - (aey * cextail + cex * aeytail); bdeps = (bex * deytail + dey * bextail) - (bey * dextail + dex * beytail); det += (((bex * bex + bey * bey + bez * bez) * ((cez * daeps + dez * aceps + aez * cdeps) + (ceztail * da3 + deztail * ac3 + aeztail * cd3)) + (dex * dex + dey * dey + dez * dez) * ((aez * bceps - bez * aceps + cez * abeps) + (aeztail * bc3 - beztail * ac3 + ceztail * ab3))) - ((aex * aex + aey * aey + aez * aez) * ((bez * cdeps - cez * bdeps + dez * bceps) + (beztail * cd3 - ceztail * bd3 + deztail * bc3)) + (cex * cex + cey * cey + cez * cez) * ((dez * abeps + aez * bdeps + bez * daeps) + (deztail * ab3 + aeztail * bd3 + beztail * da3)))) + 2.0 * (((bex * bextail + bey * beytail + bez * beztail) * (cez * da3 + dez * ac3 + aez * cd3) + (dex * dextail + dey * deytail + dez * deztail) * (aez * bc3 - bez * ac3 + cez * ab3)) - ((aex * aextail + aey * aeytail + aez * aeztail) * (bez * cd3 - cez * bd3 + dez * bc3) + (cex * cextail + cey * ceytail + cez * ceztail) * (dez * ab3 + aez * bd3 + bez * da3))); if ((det >= errbound) || (-det >= errbound)) { return det; } return _insphereTetraExact(pa, pb, pc, pd, pe); } /** * _insphere tetra exact. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param pe the pe * @return the double */ private double _insphereTetraExact(double[] pa, double[] pb, double[] pc, double[] pd, double[] pe) { double axby1, bxcy1, cxdy1, dxey1, exay1; double bxay1, cxby1, dxcy1, exdy1, axey1; double axcy1, bxdy1, cxey1, dxay1, exby1; double cxay1, dxby1, excy1, axdy1, bxey1; double axby0, bxcy0, cxdy0, dxey0, exay0; double bxay0, cxby0, dxcy0, exdy0, axey0; double axcy0, bxdy0, cxey0, dxay0, exby0; double cxay0, dxby0, excy0, axdy0, bxey0; double[] ab = new double[4], bc = new double[4], cd = new double[4], de = new double[4], ea = new double[4]; double[] ac = new double[4], bd = new double[4], ce = new double[4], da = new double[4], eb = new double[4]; double[] temp8a = new double[8], temp8b = new double[8], temp16 = new double[16]; int temp8alen, temp8blen, temp16len; double[] abc = new double[24], bcd = new double[24], cde = new double[24], dea = new double[24], eab = new double[24]; double[] abd = new double[24], bce = new double[24], cda = new double[24], deb = new double[24], eac = new double[24]; int abclen, bcdlen, cdelen, dealen, eablen; int abdlen, bcelen, cdalen, deblen, eaclen; double[] temp48a = new double[48], temp48b = new double[48]; int temp48alen, temp48blen; double[] abcd = new double[96], bcde = new double[96], cdea = new double[96], deab = new double[96], eabc = new double[96]; int abcdlen, bcdelen, cdealen, deablen, eabclen; double[] temp192 = new double[192]; double[] det384x = new double[384], det384y = new double[384], det384z = new double[384]; int xlen, ylen, zlen; double[] detxy = new double[768]; int xylen; double[] adet = new double[1152], bdet = new double[1152], cdet = new double[1152], ddet = new double[1152], edet = new double[1152]; int alen, blen, clen, dlen, elen; double[] abdet = new double[2304], cddet = new double[2304], cdedet = new double[3456]; int ablen, cdlen; double[] deter = new double[5760]; int deterlen; int i; double bvirt; double avirt, bround, around; double c; double abig; double ahi, alo, bhi, blo; double err1, err2, err3; double _i, _j; double _0; axby1 = (double) (pa[0] * pb[1]); c = (double) (splitter * pa[0]); abig = (double) (c - pa[0]); ahi = c - abig; alo = pa[0] - ahi; c = (double) (splitter * pb[1]); abig = (double) (c - pb[1]); bhi = c - abig; blo = pb[1] - bhi; err1 = axby1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); axby0 = (alo * blo) - err3; bxay1 = (double) (pb[0] * pa[1]); c = (double) (splitter * pb[0]); abig = (double) (c - pb[0]); ahi = c - abig; alo = pb[0] - ahi; c = (double) (splitter * pa[1]); abig = (double) (c - pa[1]); bhi = c - abig; blo = pa[1] - bhi; err1 = bxay1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bxay0 = (alo * blo) - err3; _i = (double) (axby0 - bxay0); bvirt = (double) (axby0 - _i); avirt = _i + bvirt; bround = bvirt - bxay0; around = axby0 - avirt; ab[0] = around + bround; _j = (double) (axby1 + _i); bvirt = (double) (_j - axby1); avirt = _j - bvirt; bround = _i - bvirt; around = axby1 - avirt; _0 = around + bround; _i = (double) (_0 - bxay1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - bxay1; around = _0 - avirt; ab[1] = around + bround; ab[3] = (double) (_j + _i); bvirt = (double) (ab[3] - _j); avirt = ab[3] - bvirt; bround = _i - bvirt; around = _j - avirt; ab[2] = around + bround; bxcy1 = (double) (pb[0] * pc[1]); c = (double) (splitter * pb[0]); abig = (double) (c - pb[0]); ahi = c - abig; alo = pb[0] - ahi; c = (double) (splitter * pc[1]); abig = (double) (c - pc[1]); bhi = c - abig; blo = pc[1] - bhi; err1 = bxcy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bxcy0 = (alo * blo) - err3; cxby1 = (double) (pc[0] * pb[1]); c = (double) (splitter * pc[0]); abig = (double) (c - pc[0]); ahi = c - abig; alo = pc[0] - ahi; c = (double) (splitter * pb[1]); abig = (double) (c - pb[1]); bhi = c - abig; blo = pb[1] - bhi; err1 = cxby1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cxby0 = (alo * blo) - err3; _i = (double) (bxcy0 - cxby0); bvirt = (double) (bxcy0 - _i); avirt = _i + bvirt; bround = bvirt - cxby0; around = bxcy0 - avirt; bc[0] = around + bround; _j = (double) (bxcy1 + _i); bvirt = (double) (_j - bxcy1); avirt = _j - bvirt; bround = _i - bvirt; around = bxcy1 - avirt; _0 = around + bround; _i = (double) (_0 - cxby1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cxby1; around = _0 - avirt; bc[1] = around + bround; bc[3] = (double) (_j + _i); bvirt = (double) (bc[3] - _j); avirt = bc[3] - bvirt; bround = _i - bvirt; around = _j - avirt; bc[2] = around + bround; cxdy1 = (double) (pc[0] * pd[1]); c = (double) (splitter * pc[0]); abig = (double) (c - pc[0]); ahi = c - abig; alo = pc[0] - ahi; c = (double) (splitter * pd[1]); abig = (double) (c - pd[1]); bhi = c - abig; blo = pd[1] - bhi; err1 = cxdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cxdy0 = (alo * blo) - err3; dxcy1 = (double) (pd[0] * pc[1]); c = (double) (splitter * pd[0]); abig = (double) (c - pd[0]); ahi = c - abig; alo = pd[0] - ahi; c = (double) (splitter * pc[1]); abig = (double) (c - pc[1]); bhi = c - abig; blo = pc[1] - bhi; err1 = dxcy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); dxcy0 = (alo * blo) - err3; _i = (double) (cxdy0 - dxcy0); bvirt = (double) (cxdy0 - _i); avirt = _i + bvirt; bround = bvirt - dxcy0; around = cxdy0 - avirt; cd[0] = around + bround; _j = (double) (cxdy1 + _i); bvirt = (double) (_j - cxdy1); avirt = _j - bvirt; bround = _i - bvirt; around = cxdy1 - avirt; _0 = around + bround; _i = (double) (_0 - dxcy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - dxcy1; around = _0 - avirt; cd[1] = around + bround; cd[3] = (double) (_j + _i); bvirt = (double) (cd[3] - _j); avirt = cd[3] - bvirt; bround = _i - bvirt; around = _j - avirt; cd[2] = around + bround; dxey1 = (double) (pd[0] * pe[1]); c = (double) (splitter * pd[0]); abig = (double) (c - pd[0]); ahi = c - abig; alo = pd[0] - ahi; c = (double) (splitter * pe[1]); abig = (double) (c - pe[1]); bhi = c - abig; blo = pe[1] - bhi; err1 = dxey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); dxey0 = (alo * blo) - err3; exdy1 = (double) (pe[0] * pd[1]); c = (double) (splitter * pe[0]); abig = (double) (c - pe[0]); ahi = c - abig; alo = pe[0] - ahi; c = (double) (splitter * pd[1]); abig = (double) (c - pd[1]); bhi = c - abig; blo = pd[1] - bhi; err1 = exdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); exdy0 = (alo * blo) - err3; _i = (double) (dxey0 - exdy0); bvirt = (double) (dxey0 - _i); avirt = _i + bvirt; bround = bvirt - exdy0; around = dxey0 - avirt; de[0] = around + bround; _j = (double) (dxey1 + _i); bvirt = (double) (_j - dxey1); avirt = _j - bvirt; bround = _i - bvirt; around = dxey1 - avirt; _0 = around + bround; _i = (double) (_0 - exdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - exdy1; around = _0 - avirt; de[1] = around + bround; de[3] = (double) (_j + _i); bvirt = (double) (de[3] - _j); avirt = de[3] - bvirt; bround = _i - bvirt; around = _j - avirt; de[2] = around + bround; exay1 = (double) (pe[0] * pa[1]); c = (double) (splitter * pe[0]); abig = (double) (c - pe[0]); ahi = c - abig; alo = pe[0] - ahi; c = (double) (splitter * pa[1]); abig = (double) (c - pa[1]); bhi = c - abig; blo = pa[1] - bhi; err1 = exay1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); exay0 = (alo * blo) - err3; axey1 = (double) (pa[0] * pe[1]); c = (double) (splitter * pa[0]); abig = (double) (c - pa[0]); ahi = c - abig; alo = pa[0] - ahi; c = (double) (splitter * pe[1]); abig = (double) (c - pe[1]); bhi = c - abig; blo = pe[1] - bhi; err1 = axey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); axey0 = (alo * blo) - err3; _i = (double) (exay0 - axey0); bvirt = (double) (exay0 - _i); avirt = _i + bvirt; bround = bvirt - axey0; around = exay0 - avirt; ea[0] = around + bround; _j = (double) (exay1 + _i); bvirt = (double) (_j - exay1); avirt = _j - bvirt; bround = _i - bvirt; around = exay1 - avirt; _0 = around + bround; _i = (double) (_0 - axey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - axey1; around = _0 - avirt; ea[1] = around + bround; ea[3] = (double) (_j + _i); bvirt = (double) (ea[3] - _j); avirt = ea[3] - bvirt; bround = _i - bvirt; around = _j - avirt; ea[2] = around + bround; axcy1 = (double) (pa[0] * pc[1]); c = (double) (splitter * pa[0]); abig = (double) (c - pa[0]); ahi = c - abig; alo = pa[0] - ahi; c = (double) (splitter * pc[1]); abig = (double) (c - pc[1]); bhi = c - abig; blo = pc[1] - bhi; err1 = axcy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); axcy0 = (alo * blo) - err3; cxay1 = (double) (pc[0] * pa[1]); c = (double) (splitter * pc[0]); abig = (double) (c - pc[0]); ahi = c - abig; alo = pc[0] - ahi; c = (double) (splitter * pa[1]); abig = (double) (c - pa[1]); bhi = c - abig; blo = pa[1] - bhi; err1 = cxay1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cxay0 = (alo * blo) - err3; _i = (double) (axcy0 - cxay0); bvirt = (double) (axcy0 - _i); avirt = _i + bvirt; bround = bvirt - cxay0; around = axcy0 - avirt; ac[0] = around + bround; _j = (double) (axcy1 + _i); bvirt = (double) (_j - axcy1); avirt = _j - bvirt; bround = _i - bvirt; around = axcy1 - avirt; _0 = around + bround; _i = (double) (_0 - cxay1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cxay1; around = _0 - avirt; ac[1] = around + bround; ac[3] = (double) (_j + _i); bvirt = (double) (ac[3] - _j); avirt = ac[3] - bvirt; bround = _i - bvirt; around = _j - avirt; ac[2] = around + bround; bxdy1 = (double) (pb[0] * pd[1]); c = (double) (splitter * pb[0]); abig = (double) (c - pb[0]); ahi = c - abig; alo = pb[0] - ahi; c = (double) (splitter * pd[1]); abig = (double) (c - pd[1]); bhi = c - abig; blo = pd[1] - bhi; err1 = bxdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bxdy0 = (alo * blo) - err3; dxby1 = (double) (pd[0] * pb[1]); c = (double) (splitter * pd[0]); abig = (double) (c - pd[0]); ahi = c - abig; alo = pd[0] - ahi; c = (double) (splitter * pb[1]); abig = (double) (c - pb[1]); bhi = c - abig; blo = pb[1] - bhi; err1 = dxby1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); dxby0 = (alo * blo) - err3; _i = (double) (bxdy0 - dxby0); bvirt = (double) (bxdy0 - _i); avirt = _i + bvirt; bround = bvirt - dxby0; around = bxdy0 - avirt; bd[0] = around + bround; _j = (double) (bxdy1 + _i); bvirt = (double) (_j - bxdy1); avirt = _j - bvirt; bround = _i - bvirt; around = bxdy1 - avirt; _0 = around + bround; _i = (double) (_0 - dxby1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - dxby1; around = _0 - avirt; bd[1] = around + bround; bd[3] = (double) (_j + _i); bvirt = (double) (bd[3] - _j); avirt = bd[3] - bvirt; bround = _i - bvirt; around = _j - avirt; bd[2] = around + bround; cxey1 = (double) (pc[0] * pe[1]); c = (double) (splitter * pc[0]); abig = (double) (c - pc[0]); ahi = c - abig; alo = pc[0] - ahi; c = (double) (splitter * pe[1]); abig = (double) (c - pe[1]); bhi = c - abig; blo = pe[1] - bhi; err1 = cxey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cxey0 = (alo * blo) - err3; excy1 = (double) (pe[0] * pc[1]); c = (double) (splitter * pe[0]); abig = (double) (c - pe[0]); ahi = c - abig; alo = pe[0] - ahi; c = (double) (splitter * pc[1]); abig = (double) (c - pc[1]); bhi = c - abig; blo = pc[1] - bhi; err1 = excy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); excy0 = (alo * blo) - err3; _i = (double) (cxey0 - excy0); bvirt = (double) (cxey0 - _i); avirt = _i + bvirt; bround = bvirt - excy0; around = cxey0 - avirt; ce[0] = around + bround; _j = (double) (cxey1 + _i); bvirt = (double) (_j - cxey1); avirt = _j - bvirt; bround = _i - bvirt; around = cxey1 - avirt; _0 = around + bround; _i = (double) (_0 - excy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - excy1; around = _0 - avirt; ce[1] = around + bround; ce[3] = (double) (_j + _i); bvirt = (double) (ce[3] - _j); avirt = ce[3] - bvirt; bround = _i - bvirt; around = _j - avirt; ce[2] = around + bround; dxay1 = (double) (pd[0] * pa[1]); c = (double) (splitter * pd[0]); abig = (double) (c - pd[0]); ahi = c - abig; alo = pd[0] - ahi; c = (double) (splitter * pa[1]); abig = (double) (c - pa[1]); bhi = c - abig; blo = pa[1] - bhi; err1 = dxay1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); dxay0 = (alo * blo) - err3; axdy1 = (double) (pa[0] * pd[1]); c = (double) (splitter * pa[0]); abig = (double) (c - pa[0]); ahi = c - abig; alo = pa[0] - ahi; c = (double) (splitter * pd[1]); abig = (double) (c - pd[1]); bhi = c - abig; blo = pd[1] - bhi; err1 = axdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); axdy0 = (alo * blo) - err3; _i = (double) (dxay0 - axdy0); bvirt = (double) (dxay0 - _i); avirt = _i + bvirt; bround = bvirt - axdy0; around = dxay0 - avirt; da[0] = around + bround; _j = (double) (dxay1 + _i); bvirt = (double) (_j - dxay1); avirt = _j - bvirt; bround = _i - bvirt; around = dxay1 - avirt; _0 = around + bround; _i = (double) (_0 - axdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - axdy1; around = _0 - avirt; da[1] = around + bround; da[3] = (double) (_j + _i); bvirt = (double) (da[3] - _j); avirt = da[3] - bvirt; bround = _i - bvirt; around = _j - avirt; da[2] = around + bround; exby1 = (double) (pe[0] * pb[1]); c = (double) (splitter * pe[0]); abig = (double) (c - pe[0]); ahi = c - abig; alo = pe[0] - ahi; c = (double) (splitter * pb[1]); abig = (double) (c - pb[1]); bhi = c - abig; blo = pb[1] - bhi; err1 = exby1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); exby0 = (alo * blo) - err3; bxey1 = (double) (pb[0] * pe[1]); c = (double) (splitter * pb[0]); abig = (double) (c - pb[0]); ahi = c - abig; alo = pb[0] - ahi; c = (double) (splitter * pe[1]); abig = (double) (c - pe[1]); bhi = c - abig; blo = pe[1] - bhi; err1 = bxey1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bxey0 = (alo * blo) - err3; _i = (double) (exby0 - bxey0); bvirt = (double) (exby0 - _i); avirt = _i + bvirt; bround = bvirt - bxey0; around = exby0 - avirt; eb[0] = around + bround; _j = (double) (exby1 + _i); bvirt = (double) (_j - exby1); avirt = _j - bvirt; bround = _i - bvirt; around = exby1 - avirt; _0 = around + bround; _i = (double) (_0 - bxey1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - bxey1; around = _0 - avirt; eb[1] = around + bround; eb[3] = (double) (_j + _i); bvirt = (double) (eb[3] - _j); avirt = eb[3] - bvirt; bround = _i - bvirt; around = _j - avirt; eb[2] = around + bround; temp8alen = _scale_expansion_zeroelim(4, bc, pa[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, ac, -pb[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, ab, pc[2], temp8a); abclen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, abc); temp8alen = _scale_expansion_zeroelim(4, cd, pb[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, bd, -pc[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, bc, pd[2], temp8a); bcdlen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, bcd); temp8alen = _scale_expansion_zeroelim(4, de, pc[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, ce, -pd[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, cd, pe[2], temp8a); cdelen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, cde); temp8alen = _scale_expansion_zeroelim(4, ea, pd[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, da, -pe[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, de, pa[2], temp8a); dealen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, dea); temp8alen = _scale_expansion_zeroelim(4, ab, pe[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, eb, -pa[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, ea, pb[2], temp8a); eablen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, eab); temp8alen = _scale_expansion_zeroelim(4, bd, pa[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, da, pb[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, ab, pd[2], temp8a); abdlen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, abd); temp8alen = _scale_expansion_zeroelim(4, ce, pb[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, eb, pc[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, bc, pe[2], temp8a); bcelen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, bce); temp8alen = _scale_expansion_zeroelim(4, da, pc[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, ac, pd[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, cd, pa[2], temp8a); cdalen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, cda); temp8alen = _scale_expansion_zeroelim(4, eb, pd[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, bd, pe[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, de, pb[2], temp8a); deblen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, deb); temp8alen = _scale_expansion_zeroelim(4, ac, pe[2], temp8a); temp8blen = _scale_expansion_zeroelim(4, ce, pa[2], temp8b); temp16len = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp8blen, temp8b, temp16); temp8alen = _scale_expansion_zeroelim(4, ea, pc[2], temp8a); eaclen = _fast_expansion_sum_zeroelim(temp8alen, temp8a, temp16len, temp16, eac); temp48alen = _fast_expansion_sum_zeroelim(cdelen, cde, bcelen, bce, temp48a); temp48blen = _fast_expansion_sum_zeroelim(deblen, deb, bcdlen, bcd, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } bcdelen = _fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, bcde); xlen = _scale_expansion_zeroelim(bcdelen, bcde, pa[0], temp192); xlen = _scale_expansion_zeroelim(xlen, temp192, pa[0], det384x); ylen = _scale_expansion_zeroelim(bcdelen, bcde, pa[1], temp192); ylen = _scale_expansion_zeroelim(ylen, temp192, pa[1], det384y); zlen = _scale_expansion_zeroelim(bcdelen, bcde, pa[2], temp192); zlen = _scale_expansion_zeroelim(zlen, temp192, pa[2], det384z); xylen = _fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); alen = _fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, adet); temp48alen = _fast_expansion_sum_zeroelim(dealen, dea, cdalen, cda, temp48a); temp48blen = _fast_expansion_sum_zeroelim(eaclen, eac, cdelen, cde, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } cdealen = _fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, cdea); xlen = _scale_expansion_zeroelim(cdealen, cdea, pb[0], temp192); xlen = _scale_expansion_zeroelim(xlen, temp192, pb[0], det384x); ylen = _scale_expansion_zeroelim(cdealen, cdea, pb[1], temp192); ylen = _scale_expansion_zeroelim(ylen, temp192, pb[1], det384y); zlen = _scale_expansion_zeroelim(cdealen, cdea, pb[2], temp192); zlen = _scale_expansion_zeroelim(zlen, temp192, pb[2], det384z); xylen = _fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); blen = _fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, bdet); temp48alen = _fast_expansion_sum_zeroelim(eablen, eab, deblen, deb, temp48a); temp48blen = _fast_expansion_sum_zeroelim(abdlen, abd, dealen, dea, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } deablen = _fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, deab); xlen = _scale_expansion_zeroelim(deablen, deab, pc[0], temp192); xlen = _scale_expansion_zeroelim(xlen, temp192, pc[0], det384x); ylen = _scale_expansion_zeroelim(deablen, deab, pc[1], temp192); ylen = _scale_expansion_zeroelim(ylen, temp192, pc[1], det384y); zlen = _scale_expansion_zeroelim(deablen, deab, pc[2], temp192); zlen = _scale_expansion_zeroelim(zlen, temp192, pc[2], det384z); xylen = _fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); clen = _fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, cdet); temp48alen = _fast_expansion_sum_zeroelim(abclen, abc, eaclen, eac, temp48a); temp48blen = _fast_expansion_sum_zeroelim(bcelen, bce, eablen, eab, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } eabclen = _fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, eabc); xlen = _scale_expansion_zeroelim(eabclen, eabc, pd[0], temp192); xlen = _scale_expansion_zeroelim(xlen, temp192, pd[0], det384x); ylen = _scale_expansion_zeroelim(eabclen, eabc, pd[1], temp192); ylen = _scale_expansion_zeroelim(ylen, temp192, pd[1], det384y); zlen = _scale_expansion_zeroelim(eabclen, eabc, pd[2], temp192); zlen = _scale_expansion_zeroelim(zlen, temp192, pd[2], det384z); xylen = _fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); dlen = _fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, ddet); temp48alen = _fast_expansion_sum_zeroelim(bcdlen, bcd, abdlen, abd, temp48a); temp48blen = _fast_expansion_sum_zeroelim(cdalen, cda, abclen, abc, temp48b); for (i = 0; i < temp48blen; i++) { temp48b[i] = -temp48b[i]; } abcdlen = _fast_expansion_sum_zeroelim(temp48alen, temp48a, temp48blen, temp48b, abcd); xlen = _scale_expansion_zeroelim(abcdlen, abcd, pe[0], temp192); xlen = _scale_expansion_zeroelim(xlen, temp192, pe[0], det384x); ylen = _scale_expansion_zeroelim(abcdlen, abcd, pe[1], temp192); ylen = _scale_expansion_zeroelim(ylen, temp192, pe[1], det384y); zlen = _scale_expansion_zeroelim(abcdlen, abcd, pe[2], temp192); zlen = _scale_expansion_zeroelim(zlen, temp192, pe[2], det384z); xylen = _fast_expansion_sum_zeroelim(xlen, det384x, ylen, det384y, detxy); elen = _fast_expansion_sum_zeroelim(xylen, detxy, zlen, det384z, edet); ablen = _fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); cdlen = _fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); cdelen = _fast_expansion_sum_zeroelim(cdlen, cddet, elen, edet, cdedet); deterlen = _fast_expansion_sum_zeroelim(ablen, abdet, cdelen, cdedet, deter); return deter[deterlen - 1]; } /** * Insphere tri. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param q the q * @return the w b_ classify */ public WB_Classify insphereTri(double[] p0, double[] p1, double[] p2, double[] q) { double result = _insphereTri(p0[0], p0[1], p0[2], p1[0], p1[1], p1[2], p2[0], p2[1], p2[2], q[0], q[1], q[2]); if (result > 0) { return WB_Classify.INSIDE; } else if (result < 0) { return WB_Classify.OUTSIDE; } else { return WB_Classify.ON; } } /** * _insphere tri. * * @param a1 the a1 * @param a2 the a2 * @param a3 the a3 * @param b1 the b1 * @param b2 the b2 * @param b3 the b3 * @param c1 the c1 * @param c2 the c2 * @param c3 the c3 * @param q1 the q1 * @param q2 the q2 * @param q3 the q3 * @return the double */ private double _insphereTri(double a1, double a2, double a3, double b1, double b2, double b3, double c1, double c2, double c3, double q1, double q2, double q3) { double[] a = new double[3], b = new double[3], c = new double[3], q = new double[3], circumcenter = new double[3]; double t1, t2, t3, r; double s1, s2, s3, u; a[0] = a1; a[1] = a2; a[2] = a3; b[0] = b1; b[1] = b2; b[2] = b3; c[0] = c1; c[1] = c2; c[2] = c3; q[0] = q1; q[1] = q2; q[2] = q3; circumcenter = circumcenterTri(a, b, c); t1 = circumcenter[0] - a[0]; t1 = t1 * t1; t2 = circumcenter[1] - a[1]; t2 = t2 * t2; t3 = circumcenter[2] - a[2]; t3 = t3 * t3; r = t1 + t2 + t3; s1 = circumcenter[0] - q[0]; s1 = s1 * s1; s2 = circumcenter[1] - q[1]; s2 = s2 * s2; s3 = circumcenter[2] - q[2]; s3 = s3 * s3; u = s1 + s2 + s3; return (r - u); } /** * Incircle tri. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param q the q * @return the double */ public double incircleTri(double[] p0, double[] p1, double[] p2, double[] q) { double adx, bdx, cdx, ady, bdy, cdy; double bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; double alift, blift, clift; double det; double permanent, errbound; adx = p0[0] - q[0]; bdx = p1[0] - q[0]; cdx = p2[0] - q[0]; ady = p0[1] - q[1]; bdy = p1[1] - q[1]; cdy = p2[1] - q[1]; bdxcdy = bdx * cdy; cdxbdy = cdx * bdy; alift = adx * adx + ady * ady; cdxady = cdx * ady; adxcdy = adx * cdy; blift = bdx * bdx + bdy * bdy; adxbdy = adx * bdy; bdxady = bdx * ady; clift = cdx * cdx + cdy * cdy; det = alift * (bdxcdy - cdxbdy) + blift * (cdxady - adxcdy) + clift * (adxbdy - bdxady); permanent = (((bdxcdy) >= 0.0 ? (bdxcdy) : -(bdxcdy)) + ((cdxbdy) >= 0.0 ? (cdxbdy) : -(cdxbdy))) * alift + (((cdxady) >= 0.0 ? (cdxady) : -(cdxady)) + ((adxcdy) >= 0.0 ? (adxcdy) : -(adxcdy))) * blift + (((adxbdy) >= 0.0 ? (adxbdy) : -(adxbdy)) + ((bdxady) >= 0.0 ? (bdxady) : -(bdxady))) * clift; errbound = iccerrboundA * permanent; if ((det > errbound) || (-det > errbound)) { return det; } return _incircleTriAdapt(p0, p1, p2, q, permanent); } /** * _incircle tri adapt. * * @param pa the pa * @param pb the pb * @param pc the pc * @param pd the pd * @param permanent the permanent * @return the double */ private double _incircleTriAdapt(double[] pa, double[] pb, double[] pc, double[] pd, double permanent) { double adx, bdx, cdx, ady, bdy, cdy; double det, errbound; double bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; double bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; double[] bc = new double[4], ca = new double[4], ab = new double[4]; double bc3, ca3, ab3; double[] axbc = new double[8], axxbc = new double[16], aybc = new double[8], ayybc = new double[16], adet = new double[32]; int axbclen, axxbclen, aybclen, ayybclen, alen; double[] bxca = new double[8], bxxca = new double[16], byca = new double[8], byyca = new double[16], bdet = new double[32]; int bxcalen, bxxcalen, bycalen, byycalen, blen; double[] cxab = new double[8], cxxab = new double[16], cyab = new double[8], cyyab = new double[16], cdet = new double[32]; int cxablen, cxxablen, cyablen, cyyablen, clen; double[] abdet = new double[64]; int ablen; double[] fin1 = new double[1152], fin2 = new double[1152]; double[] finnow, finother, finswap; int finlength; double adxtail, bdxtail, cdxtail, adytail, bdytail, cdytail; double adxadx1, adyady1, bdxbdx1, bdybdy1, cdxcdx1, cdycdy1; double adxadx0, adyady0, bdxbdx0, bdybdy0, cdxcdx0, cdycdy0; double[] aa = new double[4], bb = new double[4], cc = new double[4]; double aa3, bb3, cc3; double ti1, tj1; double ti0, tj0; double[] u = new double[4], v = new double[4]; double u3, v3; double[] temp8 = new double[8], temp16a = new double[16], temp16b = new double[16], temp16c = new double[16]; double[] temp32a = new double[32], temp32b = new double[32], temp48 = new double[48], temp64 = new double[64]; int temp8len, temp16alen, temp16blen, temp16clen; int temp32alen, temp32blen, temp48len, temp64len; double[] axtbb = new double[8], axtcc = new double[8], aytbb = new double[8], aytcc = new double[8]; int axtbblen, axtcclen, aytbblen, aytcclen; double[] bxtaa = new double[8], bxtcc = new double[8], bytaa = new double[8], bytcc = new double[8]; int bxtaalen, bxtcclen, bytaalen, bytcclen; double[] cxtaa = new double[8], cxtbb = new double[8], cytaa = new double[8], cytbb = new double[8]; int cxtaalen, cxtbblen, cytaalen, cytbblen; double[] axtbc = new double[8], aytbc = new double[8], bxtca = new double[8], bytca = new double[8], cxtab = new double[8], cytab = new double[8]; int axtbclen = 0, aytbclen = 0, bxtcalen = 0, bytcalen = 0, cxtablen = 0, cytablen = 0; double[] axtbct = new double[16], aytbct = new double[16], bxtcat = new double[16], bytcat = new double[16], cxtabt = new double[16], cytabt = new double[16]; int axtbctlen, aytbctlen, bxtcatlen, bytcatlen, cxtabtlen, cytabtlen; double[] axtbctt = new double[8], aytbctt = new double[8], bxtcatt = new double[8]; double[] bytcatt = new double[8], cxtabtt = new double[8], cytabtt = new double[8]; int axtbcttlen, aytbcttlen, bxtcattlen, bytcattlen, cxtabttlen, cytabttlen; double[] abt = new double[8], bct = new double[8], cat = new double[8]; int abtlen, bctlen, catlen; double[] abtt = new double[4], bctt = new double[4], catt = new double[4]; int abttlen, bcttlen, cattlen; double abtt3, bctt3, catt3; double negate; double bvirt; double avirt, bround, around; double c; double abig; double ahi, alo, bhi, blo; double err1, err2, err3; double _i, _j; double _0; adx = (double) (pa[0] - pd[0]); bdx = (double) (pb[0] - pd[0]); cdx = (double) (pc[0] - pd[0]); ady = (double) (pa[1] - pd[1]); bdy = (double) (pb[1] - pd[1]); cdy = (double) (pc[1] - pd[1]); bdxcdy1 = (double) (bdx * cdy); c = (double) (splitter * bdx); abig = (double) (c - bdx); ahi = c - abig; alo = bdx - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = bdxcdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxcdy0 = (alo * blo) - err3; cdxbdy1 = (double) (cdx * bdy); c = (double) (splitter * cdx); abig = (double) (c - cdx); ahi = c - abig; alo = cdx - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = cdxbdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxbdy0 = (alo * blo) - err3; _i = (double) (bdxcdy0 - cdxbdy0); bvirt = (double) (bdxcdy0 - _i); avirt = _i + bvirt; bround = bvirt - cdxbdy0; around = bdxcdy0 - avirt; bc[0] = around + bround; _j = (double) (bdxcdy1 + _i); bvirt = (double) (_j - bdxcdy1); avirt = _j - bvirt; bround = _i - bvirt; around = bdxcdy1 - avirt; _0 = around + bround; _i = (double) (_0 - cdxbdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - cdxbdy1; around = _0 - avirt; bc[1] = around + bround; bc3 = (double) (_j + _i); bvirt = (double) (bc3 - _j); avirt = bc3 - bvirt; bround = _i - bvirt; around = _j - avirt; bc[2] = around + bround; bc[3] = bc3; axbclen = _scale_expansion_zeroelim(4, bc, adx, axbc); axxbclen = _scale_expansion_zeroelim(axbclen, axbc, adx, axxbc); aybclen = _scale_expansion_zeroelim(4, bc, ady, aybc); ayybclen = _scale_expansion_zeroelim(aybclen, aybc, ady, ayybc); alen = _fast_expansion_sum_zeroelim(axxbclen, axxbc, ayybclen, ayybc, adet); cdxady1 = (double) (cdx * ady); c = (double) (splitter * cdx); abig = (double) (c - cdx); ahi = c - abig; alo = cdx - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = cdxady1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); cdxady0 = (alo * blo) - err3; adxcdy1 = (double) (adx * cdy); c = (double) (splitter * adx); abig = (double) (c - adx); ahi = c - abig; alo = adx - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = adxcdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxcdy0 = (alo * blo) - err3; _i = (double) (cdxady0 - adxcdy0); bvirt = (double) (cdxady0 - _i); avirt = _i + bvirt; bround = bvirt - adxcdy0; around = cdxady0 - avirt; ca[0] = around + bround; _j = (double) (cdxady1 + _i); bvirt = (double) (_j - cdxady1); avirt = _j - bvirt; bround = _i - bvirt; around = cdxady1 - avirt; _0 = around + bround; _i = (double) (_0 - adxcdy1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - adxcdy1; around = _0 - avirt; ca[1] = around + bround; ca3 = (double) (_j + _i); bvirt = (double) (ca3 - _j); avirt = ca3 - bvirt; bround = _i - bvirt; around = _j - avirt; ca[2] = around + bround; ca[3] = ca3; bxcalen = _scale_expansion_zeroelim(4, ca, bdx, bxca); bxxcalen = _scale_expansion_zeroelim(bxcalen, bxca, bdx, bxxca); bycalen = _scale_expansion_zeroelim(4, ca, bdy, byca); byycalen = _scale_expansion_zeroelim(bycalen, byca, bdy, byyca); blen = _fast_expansion_sum_zeroelim(bxxcalen, bxxca, byycalen, byyca, bdet); adxbdy1 = (double) (adx * bdy); c = (double) (splitter * adx); abig = (double) (c - adx); ahi = c - abig; alo = adx - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = adxbdy1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); adxbdy0 = (alo * blo) - err3; bdxady1 = (double) (bdx * ady); c = (double) (splitter * bdx); abig = (double) (c - bdx); ahi = c - abig; alo = bdx - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = bdxady1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); bdxady0 = (alo * blo) - err3; _i = (double) (adxbdy0 - bdxady0); bvirt = (double) (adxbdy0 - _i); avirt = _i + bvirt; bround = bvirt - bdxady0; around = adxbdy0 - avirt; ab[0] = around + bround; _j = (double) (adxbdy1 + _i); bvirt = (double) (_j - adxbdy1); avirt = _j - bvirt; bround = _i - bvirt; around = adxbdy1 - avirt; _0 = around + bround; _i = (double) (_0 - bdxady1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - bdxady1; around = _0 - avirt; ab[1] = around + bround; ab3 = (double) (_j + _i); bvirt = (double) (ab3 - _j); avirt = ab3 - bvirt; bround = _i - bvirt; around = _j - avirt; ab[2] = around + bround; ab[3] = ab3; cxablen = _scale_expansion_zeroelim(4, ab, cdx, cxab); cxxablen = _scale_expansion_zeroelim(cxablen, cxab, cdx, cxxab); cyablen = _scale_expansion_zeroelim(4, ab, cdy, cyab); cyyablen = _scale_expansion_zeroelim(cyablen, cyab, cdy, cyyab); clen = _fast_expansion_sum_zeroelim(cxxablen, cxxab, cyyablen, cyyab, cdet); ablen = _fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); finlength = _fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, fin1); det = _estimate(finlength, fin1); errbound = iccerrboundB * permanent; if ((det >= errbound) || (-det >= errbound)) { return det; } bvirt = (double) (pa[0] - adx); avirt = adx + bvirt; bround = bvirt - pd[0]; around = pa[0] - avirt; adxtail = around + bround; bvirt = (double) (pa[1] - ady); avirt = ady + bvirt; bround = bvirt - pd[1]; around = pa[1] - avirt; adytail = around + bround; bvirt = (double) (pb[0] - bdx); avirt = bdx + bvirt; bround = bvirt - pd[0]; around = pb[0] - avirt; bdxtail = around + bround; bvirt = (double) (pb[1] - bdy); avirt = bdy + bvirt; bround = bvirt - pd[1]; around = pb[1] - avirt; bdytail = around + bround; bvirt = (double) (pc[0] - cdx); avirt = cdx + bvirt; bround = bvirt - pd[0]; around = pc[0] - avirt; cdxtail = around + bround; bvirt = (double) (pc[1] - cdy); avirt = cdy + bvirt; bround = bvirt - pd[1]; around = pc[1] - avirt; cdytail = around + bround; if ((adxtail == 0.0) && (bdxtail == 0.0) && (cdxtail == 0.0) && (adytail == 0.0) && (bdytail == 0.0) && (cdytail == 0.0)) { return det; } errbound = iccerrboundC * permanent + resulterrbound * ((det) >= 0.0 ? (det) : -(det)); det += ((adx * adx + ady * ady) * ((bdx * cdytail + cdy * bdxtail) - (bdy * cdxtail + cdx * bdytail)) + 2.0 * (adx * adxtail + ady * adytail) * (bdx * cdy - bdy * cdx)) + ((bdx * bdx + bdy * bdy) * ((cdx * adytail + ady * cdxtail) - (cdy * adxtail + adx * cdytail)) + 2.0 * (bdx * bdxtail + bdy * bdytail) * (cdx * ady - cdy * adx)) + ((cdx * cdx + cdy * cdy) * ((adx * bdytail + bdy * adxtail) - (ady * bdxtail + bdx * adytail)) + 2.0 * (cdx * cdxtail + cdy * cdytail) * (adx * bdy - ady * bdx)); if ((det >= errbound) || (-det >= errbound)) { return det; } finnow = fin1; finother = fin2; if ((bdxtail != 0.0) || (bdytail != 0.0) || (cdxtail != 0.0) || (cdytail != 0.0)) { adxadx1 = (double) (adx * adx); c = (double) (splitter * adx); abig = (double) (c - adx); ahi = c - abig; alo = adx - ahi; err1 = adxadx1 - (ahi * ahi); err3 = err1 - ((ahi + ahi) * alo); adxadx0 = (alo * alo) - err3; adyady1 = (double) (ady * ady); c = (double) (splitter * ady); abig = (double) (c - ady); ahi = c - abig; alo = ady - ahi; err1 = adyady1 - (ahi * ahi); err3 = err1 - ((ahi + ahi) * alo); adyady0 = (alo * alo) - err3; _i = (double) (adxadx0 + adyady0); bvirt = (double) (_i - adxadx0); avirt = _i - bvirt; bround = adyady0 - bvirt; around = adxadx0 - avirt; aa[0] = around + bround; _j = (double) (adxadx1 + _i); bvirt = (double) (_j - adxadx1); avirt = _j - bvirt; bround = _i - bvirt; around = adxadx1 - avirt; _0 = around + bround; _i = (double) (_0 + adyady1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = adyady1 - bvirt; around = _0 - avirt; aa[1] = around + bround; aa3 = (double) (_j + _i); bvirt = (double) (aa3 - _j); avirt = aa3 - bvirt; bround = _i - bvirt; around = _j - avirt; aa[2] = around + bround; aa[3] = aa3; } if ((cdxtail != 0.0) || (cdytail != 0.0) || (adxtail != 0.0) || (adytail != 0.0)) { bdxbdx1 = (double) (bdx * bdx); c = (double) (splitter * bdx); abig = (double) (c - bdx); ahi = c - abig; alo = bdx - ahi; err1 = bdxbdx1 - (ahi * ahi); err3 = err1 - ((ahi + ahi) * alo); bdxbdx0 = (alo * alo) - err3; bdybdy1 = (double) (bdy * bdy); c = (double) (splitter * bdy); abig = (double) (c - bdy); ahi = c - abig; alo = bdy - ahi; err1 = bdybdy1 - (ahi * ahi); err3 = err1 - ((ahi + ahi) * alo); bdybdy0 = (alo * alo) - err3; _i = (double) (bdxbdx0 + bdybdy0); bvirt = (double) (_i - bdxbdx0); avirt = _i - bvirt; bround = bdybdy0 - bvirt; around = bdxbdx0 - avirt; bb[0] = around + bround; _j = (double) (bdxbdx1 + _i); bvirt = (double) (_j - bdxbdx1); avirt = _j - bvirt; bround = _i - bvirt; around = bdxbdx1 - avirt; _0 = around + bround; _i = (double) (_0 + bdybdy1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = bdybdy1 - bvirt; around = _0 - avirt; bb[1] = around + bround; bb3 = (double) (_j + _i); bvirt = (double) (bb3 - _j); avirt = bb3 - bvirt; bround = _i - bvirt; around = _j - avirt; bb[2] = around + bround; bb[3] = bb3; } if ((adxtail != 0.0) || (adytail != 0.0) || (bdxtail != 0.0) || (bdytail != 0.0)) { cdxcdx1 = (double) (cdx * cdx); c = (double) (splitter * cdx); abig = (double) (c - cdx); ahi = c - abig; alo = cdx - ahi; err1 = cdxcdx1 - (ahi * ahi); err3 = err1 - ((ahi + ahi) * alo); cdxcdx0 = (alo * alo) - err3; cdycdy1 = (double) (cdy * cdy); c = (double) (splitter * cdy); abig = (double) (c - cdy); ahi = c - abig; alo = cdy - ahi; err1 = cdycdy1 - (ahi * ahi); err3 = err1 - ((ahi + ahi) * alo); cdycdy0 = (alo * alo) - err3; _i = (double) (cdxcdx0 + cdycdy0); bvirt = (double) (_i - cdxcdx0); avirt = _i - bvirt; bround = cdycdy0 - bvirt; around = cdxcdx0 - avirt; cc[0] = around + bround; _j = (double) (cdxcdx1 + _i); bvirt = (double) (_j - cdxcdx1); avirt = _j - bvirt; bround = _i - bvirt; around = cdxcdx1 - avirt; _0 = around + bround; _i = (double) (_0 + cdycdy1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = cdycdy1 - bvirt; around = _0 - avirt; cc[1] = around + bround; cc3 = (double) (_j + _i); bvirt = (double) (cc3 - _j); avirt = cc3 - bvirt; bround = _i - bvirt; around = _j - avirt; cc[2] = around + bround; cc[3] = cc3; } if (adxtail != 0.0) { axtbclen = _scale_expansion_zeroelim(4, bc, adxtail, axtbc); temp16alen = _scale_expansion_zeroelim(axtbclen, axtbc, 2.0 * adx, temp16a); axtcclen = _scale_expansion_zeroelim(4, cc, adxtail, axtcc); temp16blen = _scale_expansion_zeroelim(axtcclen, axtcc, bdy, temp16b); axtbblen = _scale_expansion_zeroelim(4, bb, adxtail, axtbb); temp16clen = _scale_expansion_zeroelim(axtbblen, axtbb, -cdy, temp16c); temp32alen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adytail != 0.0) { aytbclen = _scale_expansion_zeroelim(4, bc, adytail, aytbc); temp16alen = _scale_expansion_zeroelim(aytbclen, aytbc, 2.0 * ady, temp16a); aytbblen = _scale_expansion_zeroelim(4, bb, adytail, aytbb); temp16blen = _scale_expansion_zeroelim(aytbblen, aytbb, cdx, temp16b); aytcclen = _scale_expansion_zeroelim(4, cc, adytail, aytcc); temp16clen = _scale_expansion_zeroelim(aytcclen, aytcc, -bdx, temp16c); temp32alen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdxtail != 0.0) { bxtcalen = _scale_expansion_zeroelim(4, ca, bdxtail, bxtca); temp16alen = _scale_expansion_zeroelim(bxtcalen, bxtca, 2.0 * bdx, temp16a); bxtaalen = _scale_expansion_zeroelim(4, aa, bdxtail, bxtaa); temp16blen = _scale_expansion_zeroelim(bxtaalen, bxtaa, cdy, temp16b); bxtcclen = _scale_expansion_zeroelim(4, cc, bdxtail, bxtcc); temp16clen = _scale_expansion_zeroelim(bxtcclen, bxtcc, -ady, temp16c); temp32alen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdytail != 0.0) { bytcalen = _scale_expansion_zeroelim(4, ca, bdytail, bytca); temp16alen = _scale_expansion_zeroelim(bytcalen, bytca, 2.0 * bdy, temp16a); bytcclen = _scale_expansion_zeroelim(4, cc, bdytail, bytcc); temp16blen = _scale_expansion_zeroelim(bytcclen, bytcc, adx, temp16b); bytaalen = _scale_expansion_zeroelim(4, aa, bdytail, bytaa); temp16clen = _scale_expansion_zeroelim(bytaalen, bytaa, -cdx, temp16c); temp32alen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdxtail != 0.0) { cxtablen = _scale_expansion_zeroelim(4, ab, cdxtail, cxtab); temp16alen = _scale_expansion_zeroelim(cxtablen, cxtab, 2.0 * cdx, temp16a); cxtbblen = _scale_expansion_zeroelim(4, bb, cdxtail, cxtbb); temp16blen = _scale_expansion_zeroelim(cxtbblen, cxtbb, ady, temp16b); cxtaalen = _scale_expansion_zeroelim(4, aa, cdxtail, cxtaa); temp16clen = _scale_expansion_zeroelim(cxtaalen, cxtaa, -bdy, temp16c); temp32alen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdytail != 0.0) { cytablen = _scale_expansion_zeroelim(4, ab, cdytail, cytab); temp16alen = _scale_expansion_zeroelim(cytablen, cytab, 2.0 * cdy, temp16a); cytaalen = _scale_expansion_zeroelim(4, aa, cdytail, cytaa); temp16blen = _scale_expansion_zeroelim(cytaalen, cytaa, bdx, temp16b); cytbblen = _scale_expansion_zeroelim(4, bb, cdytail, cytbb); temp16clen = _scale_expansion_zeroelim(cytbblen, cytbb, -adx, temp16c); temp32alen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16clen, temp16c, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; } if ((adxtail != 0.0) || (adytail != 0.0)) { if ((bdxtail != 0.0) || (bdytail != 0.0) || (cdxtail != 0.0) || (cdytail != 0.0)) { ti1 = (double) (bdxtail * cdy); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * cdy); abig = (double) (c - cdy); bhi = c - abig; blo = cdy - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; tj1 = (double) (bdx * cdytail); c = (double) (splitter * bdx); abig = (double) (c - bdx); ahi = c - abig; alo = bdx - ahi; c = (double) (splitter * cdytail); abig = (double) (c - cdytail); bhi = c - abig; blo = cdytail - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 + tj0); bvirt = (double) (_i - ti0); avirt = _i - bvirt; bround = tj0 - bvirt; around = ti0 - avirt; u[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 + tj1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = tj1 - bvirt; around = _0 - avirt; u[1] = around + bround; u3 = (double) (_j + _i); bvirt = (double) (u3 - _j); avirt = u3 - bvirt; bround = _i - bvirt; around = _j - avirt; u[2] = around + bround; u[3] = u3; negate = -bdy; ti1 = (double) (cdxtail * negate); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * negate); abig = (double) (c - negate); bhi = c - abig; blo = negate - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; negate = -bdytail; tj1 = (double) (cdx * negate); c = (double) (splitter * cdx); abig = (double) (c - cdx); ahi = c - abig; alo = cdx - ahi; c = (double) (splitter * negate); abig = (double) (c - negate); bhi = c - abig; blo = negate - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 + tj0); bvirt = (double) (_i - ti0); avirt = _i - bvirt; bround = tj0 - bvirt; around = ti0 - avirt; v[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 + tj1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = tj1 - bvirt; around = _0 - avirt; v[1] = around + bround; v3 = (double) (_j + _i); bvirt = (double) (v3 - _j); avirt = v3 - bvirt; bround = _i - bvirt; around = _j - avirt; v[2] = around + bround; v[3] = v3; bctlen = _fast_expansion_sum_zeroelim(4, u, 4, v, bct); ti1 = (double) (bdxtail * cdytail); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * cdytail); abig = (double) (c - cdytail); bhi = c - abig; blo = cdytail - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; tj1 = (double) (cdxtail * bdytail); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * bdytail); abig = (double) (c - bdytail); bhi = c - abig; blo = bdytail - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 - tj0); bvirt = (double) (ti0 - _i); avirt = _i + bvirt; bround = bvirt - tj0; around = ti0 - avirt; bctt[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 - tj1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - tj1; around = _0 - avirt; bctt[1] = around + bround; bctt3 = (double) (_j + _i); bvirt = (double) (bctt3 - _j); avirt = bctt3 - bvirt; bround = _i - bvirt; around = _j - avirt; bctt[2] = around + bround; bctt[3] = bctt3; bcttlen = 4; } else { bct[0] = 0.0; bctlen = 1; bctt[0] = 0.0; bcttlen = 1; } if (adxtail != 0.0) { temp16alen = _scale_expansion_zeroelim(axtbclen, axtbc, adxtail, temp16a); axtbctlen = _scale_expansion_zeroelim(bctlen, bct, adxtail, axtbct); temp32alen = _scale_expansion_zeroelim(axtbctlen, axtbct, 2.0 * adx, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; if (bdytail != 0.0) { temp8len = _scale_expansion_zeroelim(4, cc, adxtail, temp8); temp16alen = _scale_expansion_zeroelim(temp8len, temp8, bdytail, temp16a); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdytail != 0.0) { temp8len = _scale_expansion_zeroelim(4, bb, -adxtail, temp8); temp16alen = _scale_expansion_zeroelim(temp8len, temp8, cdytail, temp16a); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } temp32alen = _scale_expansion_zeroelim(axtbctlen, axtbct, adxtail, temp32a); axtbcttlen = _scale_expansion_zeroelim(bcttlen, bctt, adxtail, axtbctt); temp16alen = _scale_expansion_zeroelim(axtbcttlen, axtbctt, 2.0 * adx, temp16a); temp16blen = _scale_expansion_zeroelim(axtbcttlen, axtbctt, adxtail, temp16b); temp32blen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = _fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adytail != 0.0) { temp16alen = _scale_expansion_zeroelim(aytbclen, aytbc, adytail, temp16a); aytbctlen = _scale_expansion_zeroelim(bctlen, bct, adytail, aytbct); temp32alen = _scale_expansion_zeroelim(aytbctlen, aytbct, 2.0 * ady, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; temp32alen = _scale_expansion_zeroelim(aytbctlen, aytbct, adytail, temp32a); aytbcttlen = _scale_expansion_zeroelim(bcttlen, bctt, adytail, aytbctt); temp16alen = _scale_expansion_zeroelim(aytbcttlen, aytbctt, 2.0 * ady, temp16a); temp16blen = _scale_expansion_zeroelim(aytbcttlen, aytbctt, adytail, temp16b); temp32blen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = _fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } } if ((bdxtail != 0.0) || (bdytail != 0.0)) { if ((cdxtail != 0.0) || (cdytail != 0.0) || (adxtail != 0.0) || (adytail != 0.0)) { ti1 = (double) (cdxtail * ady); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * ady); abig = (double) (c - ady); bhi = c - abig; blo = ady - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; tj1 = (double) (cdx * adytail); c = (double) (splitter * cdx); abig = (double) (c - cdx); ahi = c - abig; alo = cdx - ahi; c = (double) (splitter * adytail); abig = (double) (c - adytail); bhi = c - abig; blo = adytail - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 + tj0); bvirt = (double) (_i - ti0); avirt = _i - bvirt; bround = tj0 - bvirt; around = ti0 - avirt; u[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 + tj1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = tj1 - bvirt; around = _0 - avirt; u[1] = around + bround; u3 = (double) (_j + _i); bvirt = (double) (u3 - _j); avirt = u3 - bvirt; bround = _i - bvirt; around = _j - avirt; u[2] = around + bround; u[3] = u3; negate = -cdy; ti1 = (double) (adxtail * negate); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * negate); abig = (double) (c - negate); bhi = c - abig; blo = negate - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; negate = -cdytail; tj1 = (double) (adx * negate); c = (double) (splitter * adx); abig = (double) (c - adx); ahi = c - abig; alo = adx - ahi; c = (double) (splitter * negate); abig = (double) (c - negate); bhi = c - abig; blo = negate - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 + tj0); bvirt = (double) (_i - ti0); avirt = _i - bvirt; bround = tj0 - bvirt; around = ti0 - avirt; v[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 + tj1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = tj1 - bvirt; around = _0 - avirt; v[1] = around + bround; v3 = (double) (_j + _i); bvirt = (double) (v3 - _j); avirt = v3 - bvirt; bround = _i - bvirt; around = _j - avirt; v[2] = around + bround; v[3] = v3; catlen = _fast_expansion_sum_zeroelim(4, u, 4, v, cat); ti1 = (double) (cdxtail * adytail); c = (double) (splitter * cdxtail); abig = (double) (c - cdxtail); ahi = c - abig; alo = cdxtail - ahi; c = (double) (splitter * adytail); abig = (double) (c - adytail); bhi = c - abig; blo = adytail - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; tj1 = (double) (adxtail * cdytail); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * cdytail); abig = (double) (c - cdytail); bhi = c - abig; blo = cdytail - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 - tj0); bvirt = (double) (ti0 - _i); avirt = _i + bvirt; bround = bvirt - tj0; around = ti0 - avirt; catt[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 - tj1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - tj1; around = _0 - avirt; catt[1] = around + bround; catt3 = (double) (_j + _i); bvirt = (double) (catt3 - _j); avirt = catt3 - bvirt; bround = _i - bvirt; around = _j - avirt; catt[2] = around + bround; catt[3] = catt3; cattlen = 4; } else { cat[0] = 0.0; catlen = 1; catt[0] = 0.0; cattlen = 1; } if (bdxtail != 0.0) { temp16alen = _scale_expansion_zeroelim(bxtcalen, bxtca, bdxtail, temp16a); bxtcatlen = _scale_expansion_zeroelim(catlen, cat, bdxtail, bxtcat); temp32alen = _scale_expansion_zeroelim(bxtcatlen, bxtcat, 2.0 * bdx, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; if (cdytail != 0.0) { temp8len = _scale_expansion_zeroelim(4, aa, bdxtail, temp8); temp16alen = _scale_expansion_zeroelim(temp8len, temp8, cdytail, temp16a); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } if (adytail != 0.0) { temp8len = _scale_expansion_zeroelim(4, cc, -bdxtail, temp8); temp16alen = _scale_expansion_zeroelim(temp8len, temp8, adytail, temp16a); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } temp32alen = _scale_expansion_zeroelim(bxtcatlen, bxtcat, bdxtail, temp32a); bxtcattlen = _scale_expansion_zeroelim(cattlen, catt, bdxtail, bxtcatt); temp16alen = _scale_expansion_zeroelim(bxtcattlen, bxtcatt, 2.0 * bdx, temp16a); temp16blen = _scale_expansion_zeroelim(bxtcattlen, bxtcatt, bdxtail, temp16b); temp32blen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = _fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdytail != 0.0) { temp16alen = _scale_expansion_zeroelim(bytcalen, bytca, bdytail, temp16a); bytcatlen = _scale_expansion_zeroelim(catlen, cat, bdytail, bytcat); temp32alen = _scale_expansion_zeroelim(bytcatlen, bytcat, 2.0 * bdy, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; temp32alen = _scale_expansion_zeroelim(bytcatlen, bytcat, bdytail, temp32a); bytcattlen = _scale_expansion_zeroelim(cattlen, catt, bdytail, bytcatt); temp16alen = _scale_expansion_zeroelim(bytcattlen, bytcatt, 2.0 * bdy, temp16a); temp16blen = _scale_expansion_zeroelim(bytcattlen, bytcatt, bdytail, temp16b); temp32blen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = _fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } } if ((cdxtail != 0.0) || (cdytail != 0.0)) { if ((adxtail != 0.0) || (adytail != 0.0) || (bdxtail != 0.0) || (bdytail != 0.0)) { ti1 = (double) (adxtail * bdy); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * bdy); abig = (double) (c - bdy); bhi = c - abig; blo = bdy - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; tj1 = (double) (adx * bdytail); c = (double) (splitter * adx); abig = (double) (c - adx); ahi = c - abig; alo = adx - ahi; c = (double) (splitter * bdytail); abig = (double) (c - bdytail); bhi = c - abig; blo = bdytail - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 + tj0); bvirt = (double) (_i - ti0); avirt = _i - bvirt; bround = tj0 - bvirt; around = ti0 - avirt; u[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 + tj1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = tj1 - bvirt; around = _0 - avirt; u[1] = around + bround; u3 = (double) (_j + _i); bvirt = (double) (u3 - _j); avirt = u3 - bvirt; bround = _i - bvirt; around = _j - avirt; u[2] = around + bround; u[3] = u3; negate = -ady; ti1 = (double) (bdxtail * negate); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * negate); abig = (double) (c - negate); bhi = c - abig; blo = negate - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; negate = -adytail; tj1 = (double) (bdx * negate); c = (double) (splitter * bdx); abig = (double) (c - bdx); ahi = c - abig; alo = bdx - ahi; c = (double) (splitter * negate); abig = (double) (c - negate); bhi = c - abig; blo = negate - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 + tj0); bvirt = (double) (_i - ti0); avirt = _i - bvirt; bround = tj0 - bvirt; around = ti0 - avirt; v[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 + tj1); bvirt = (double) (_i - _0); avirt = _i - bvirt; bround = tj1 - bvirt; around = _0 - avirt; v[1] = around + bround; v3 = (double) (_j + _i); bvirt = (double) (v3 - _j); avirt = v3 - bvirt; bround = _i - bvirt; around = _j - avirt; v[2] = around + bround; v[3] = v3; abtlen = _fast_expansion_sum_zeroelim(4, u, 4, v, abt); ti1 = (double) (adxtail * bdytail); c = (double) (splitter * adxtail); abig = (double) (c - adxtail); ahi = c - abig; alo = adxtail - ahi; c = (double) (splitter * bdytail); abig = (double) (c - bdytail); bhi = c - abig; blo = bdytail - bhi; err1 = ti1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); ti0 = (alo * blo) - err3; tj1 = (double) (bdxtail * adytail); c = (double) (splitter * bdxtail); abig = (double) (c - bdxtail); ahi = c - abig; alo = bdxtail - ahi; c = (double) (splitter * adytail); abig = (double) (c - adytail); bhi = c - abig; blo = adytail - bhi; err1 = tj1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); tj0 = (alo * blo) - err3; _i = (double) (ti0 - tj0); bvirt = (double) (ti0 - _i); avirt = _i + bvirt; bround = bvirt - tj0; around = ti0 - avirt; abtt[0] = around + bround; _j = (double) (ti1 + _i); bvirt = (double) (_j - ti1); avirt = _j - bvirt; bround = _i - bvirt; around = ti1 - avirt; _0 = around + bround; _i = (double) (_0 - tj1); bvirt = (double) (_0 - _i); avirt = _i + bvirt; bround = bvirt - tj1; around = _0 - avirt; abtt[1] = around + bround; abtt3 = (double) (_j + _i); bvirt = (double) (abtt3 - _j); avirt = abtt3 - bvirt; bround = _i - bvirt; around = _j - avirt; abtt[2] = around + bround; abtt[3] = abtt3; abttlen = 4; } else { abt[0] = 0.0; abtlen = 1; abtt[0] = 0.0; abttlen = 1; } if (cdxtail != 0.0) { temp16alen = _scale_expansion_zeroelim(cxtablen, cxtab, cdxtail, temp16a); cxtabtlen = _scale_expansion_zeroelim(abtlen, abt, cdxtail, cxtabt); temp32alen = _scale_expansion_zeroelim(cxtabtlen, cxtabt, 2.0 * cdx, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; if (adytail != 0.0) { temp8len = _scale_expansion_zeroelim(4, bb, cdxtail, temp8); temp16alen = _scale_expansion_zeroelim(temp8len, temp8, adytail, temp16a); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } if (bdytail != 0.0) { temp8len = _scale_expansion_zeroelim(4, aa, -cdxtail, temp8); temp16alen = _scale_expansion_zeroelim(temp8len, temp8, bdytail, temp16a); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp16alen, temp16a, finother); finswap = finnow; finnow = finother; finother = finswap; } temp32alen = _scale_expansion_zeroelim(cxtabtlen, cxtabt, cdxtail, temp32a); cxtabttlen = _scale_expansion_zeroelim(abttlen, abtt, cdxtail, cxtabtt); temp16alen = _scale_expansion_zeroelim(cxtabttlen, cxtabtt, 2.0 * cdx, temp16a); temp16blen = _scale_expansion_zeroelim(cxtabttlen, cxtabtt, cdxtail, temp16b); temp32blen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = _fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } if (cdytail != 0.0) { temp16alen = _scale_expansion_zeroelim(cytablen, cytab, cdytail, temp16a); cytabtlen = _scale_expansion_zeroelim(abtlen, abt, cdytail, cytabt); temp32alen = _scale_expansion_zeroelim(cytabtlen, cytabt, 2.0 * cdy, temp32a); temp48len = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp32alen, temp32a, temp48); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp48len, temp48, finother); finswap = finnow; finnow = finother; finother = finswap; temp32alen = _scale_expansion_zeroelim(cytabtlen, cytabt, cdytail, temp32a); cytabttlen = _scale_expansion_zeroelim(abttlen, abtt, cdytail, cytabtt); temp16alen = _scale_expansion_zeroelim(cytabttlen, cytabtt, 2.0 * cdy, temp16a); temp16blen = _scale_expansion_zeroelim(cytabttlen, cytabtt, cdytail, temp16b); temp32blen = _fast_expansion_sum_zeroelim(temp16alen, temp16a, temp16blen, temp16b, temp32b); temp64len = _fast_expansion_sum_zeroelim(temp32alen, temp32a, temp32blen, temp32b, temp64); finlength = _fast_expansion_sum_zeroelim(finlength, finnow, temp64len, temp64, finother); finswap = finnow; finnow = finother; finother = finswap; } } return finnow[finlength - 1]; } /** * Diffsides. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param q0 the q0 * @param q1 the q1 * @return the w b_ classify */ public WB_Classify diffsides(double[] p0, double[] p1, double[] p2, double[] q0, double[] q1) { double a, b; a = orientTetra(p0, p1, p2, q0); b = orientTetra(p0, p1, p2, q1); if (a == 0 && b == 0) { return WB_Classify.COPLANAR; } if ((a > 0 && b < 0) || (a < 0 && b > 0)) { if (a == 0 || b == 0) { return WB_Classify.DIFF; } return WB_Classify.DIFFEXCL; } if ((a > 0 && b > 0) || (a < 0 && b < 0)) { if (a == 0 || b == 0) { return WB_Classify.SAME; } return WB_Classify.SAMEEXCL; } return null; } /** * Inplane. * * @param p0 the p0 * @param p1 the p1 * @param p2 the p2 * @param p3 the p3 * @return true, if successful */ public boolean inplane(double[] p0, double[] p1, double[] p2, double[] p3) { if (orientTetra(p0, p1, p2, p3) == 0) return true; else return false; } /** The splitter. */ private double splitter; /** The epsilon. */ private double epsilon; /** The resulterrbound. */ private double resulterrbound; /** The ccwerrbound c. */ private double ccwerrboundA, ccwerrboundB, ccwerrboundC; /** The o3derrbound c. */ private double o3derrboundA, o3derrboundB, o3derrboundC; /** The iccerrbound c. */ private double iccerrboundA, iccerrboundB, iccerrboundC; /** The isperrbound c. */ private double isperrboundA, isperrboundB, isperrboundC; /** * _exactinit. */ private void _exactinit() { double half; double check, lastcheck; int every_other; every_other = 1; half = 0.5; epsilon = 1.0; splitter = 1.0; check = 1.0; do { lastcheck = check; epsilon *= half; if (every_other != 0) { splitter *= 2.0; } every_other = every_other == 0 ? 1 : 0; check = 1.0 + epsilon; } while ((check != 1.0) && (check != lastcheck)); splitter += 1.0; resulterrbound = (3.0 + 8.0 * epsilon) * epsilon; ccwerrboundA = (3.0 + 16.0 * epsilon) * epsilon; ccwerrboundB = (2.0 + 12.0 * epsilon) * epsilon; ccwerrboundC = (9.0 + 64.0 * epsilon) * epsilon * epsilon; o3derrboundA = (7.0 + 56.0 * epsilon) * epsilon; o3derrboundB = (3.0 + 28.0 * epsilon) * epsilon; o3derrboundC = (26.0 + 288.0 * epsilon) * epsilon * epsilon; iccerrboundA = (10.0 + 96.0 * epsilon) * epsilon; iccerrboundB = (4.0 + 48.0 * epsilon) * epsilon; iccerrboundC = (44.0 + 576.0 * epsilon) * epsilon * epsilon; isperrboundA = (16.0 + 224.0 * epsilon) * epsilon; isperrboundB = (5.0 + 72.0 * epsilon) * epsilon; isperrboundC = (71.0 + 1408.0 * epsilon) * epsilon * epsilon; } /** * _fast_expansion_sum_zeroelim. * * @param elen the elen * @param e the e * @param flen the flen * @param f the f * @param h the h * @return the int */ private int _fast_expansion_sum_zeroelim(int elen, double[] e, int flen, double[] f, double[] h) { double Q; double Qnew; double hh; double bvirt; double avirt, bround, around; int eindex, findex, hindex; double enow, fnow; enow = e[0]; fnow = f[0]; eindex = findex = 0; if ((fnow > enow) == (fnow > -enow)) { Q = enow; enow = e[++eindex]; } else { Q = fnow; fnow = f[++findex]; } hindex = 0; if ((eindex < elen) && (findex < flen)) { if ((fnow > enow) == (fnow > -enow)) { Qnew = (double) (enow + Q); bvirt = Qnew - enow; hh = Q - bvirt; enow = e[++eindex]; } else { Qnew = (double) (fnow + Q); bvirt = Qnew - fnow; hh = Q - bvirt; fnow = f[++findex]; } Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } while ((eindex < elen) && (findex < flen)) { if ((fnow > enow) == (fnow > -enow)) { Qnew = (double) (Q + enow); bvirt = (double) (Qnew - Q); avirt = Qnew - bvirt; bround = enow - bvirt; around = Q - avirt; hh = around + bround; enow = e[++eindex]; } else { Qnew = (double) (Q + fnow); bvirt = (double) (Qnew - Q); avirt = Qnew - bvirt; bround = fnow - bvirt; around = Q - avirt; hh = around + bround; fnow = f[++findex]; } Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } } while (eindex < elen) { Qnew = (double) (Q + enow); bvirt = (double) (Qnew - Q); avirt = Qnew - bvirt; bround = enow - bvirt; around = Q - avirt; hh = around + bround; enow = e[++eindex]; Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } while (findex < flen) { Qnew = (double) (Q + fnow); bvirt = (double) (Qnew - Q); avirt = Qnew - bvirt; bround = fnow - bvirt; around = Q - avirt; hh = around + bround; fnow = f[++findex]; Q = Qnew; if (hh != 0.0) { h[hindex++] = hh; } } if ((Q != 0.0) || (hindex == 0)) { h[hindex++] = Q; } return hindex; } /** * _scale_expansion_zeroelim. * * @param elen the elen * @param e the e * @param b the b * @param h the h * @return the int */ private int _scale_expansion_zeroelim(int elen, double[] e, double b, double[] h) { double Q, sum; double hh; double product1; double product0; int eindex, hindex; double enow; double bvirt; double avirt, bround, around; double c; double abig; double ahi, alo, bhi, blo; double err1, err2, err3; c = (double) (splitter * b); abig = (double) (c - b); bhi = c - abig; blo = b - bhi; Q = (double) (e[0] * b); c = (double) (splitter * e[0]); abig = (double) (c - e[0]); ahi = c - abig; alo = e[0] - ahi; err1 = Q - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); hh = (alo * blo) - err3; hindex = 0; if (hh != 0) { h[hindex++] = hh; } for (eindex = 1; eindex < elen; eindex++) { enow = e[eindex]; product1 = (double) (enow * b); c = (double) (splitter * enow); abig = (double) (c - enow); ahi = c - abig; alo = enow - ahi; err1 = product1 - (ahi * bhi); err2 = err1 - (alo * bhi); err3 = err2 - (ahi * blo); product0 = (alo * blo) - err3; sum = (double) (Q + product0); bvirt = (double) (sum - Q); avirt = sum - bvirt; bround = product0 - bvirt; around = Q - avirt; hh = around + bround; if (hh != 0) { h[hindex++] = hh; } Q = (double) (product1 + sum); bvirt = Q - product1; hh = sum - bvirt; if (hh != 0) { h[hindex++] = hh; } } if ((Q != 0.0) || (hindex == 0)) { h[hindex++] = Q; } return hindex; } /** * _estimate. * * @param elen the elen * @param e the e * @return the double */ private double _estimate(int elen, double[] e) { double Q; int eindex; Q = e[0]; for (eindex = 1; eindex < elen; eindex++) { Q += e[eindex]; } return Q; } /** * Circumcenter tetra. * * @param a the a * @param b the b * @param c the c * @param d the d * @param xi the xi * @param eta the eta * @param zeta the zeta * @return the double[] */ public double[] circumcenterTetra(double[] a, double[] b, double[] c, double[] d, double[] xi, double[] eta, double[] zeta) { double xba, yba, zba, xca, yca, zca, xda, yda, zda; double balength, calength, dalength; double xcrosscd, ycrosscd, zcrosscd; double xcrossdb, ycrossdb, zcrossdb; double xcrossbc, ycrossbc, zcrossbc; double denominator; double xcirca, ycirca, zcirca; xba = b[0] - a[0]; yba = b[1] - a[1]; zba = b[2] - a[2]; xca = c[0] - a[0]; yca = c[1] - a[1]; zca = c[2] - a[2]; xda = d[0] - a[0]; yda = d[1] - a[1]; zda = d[2] - a[2]; balength = xba * xba + yba * yba + zba * zba; calength = xca * xca + yca * yca + zca * zca; dalength = xda * xda + yda * yda + zda * zda; xcrosscd = yca * zda - yda * zca; ycrosscd = zca * xda - zda * xca; zcrosscd = xca * yda - xda * yca; xcrossdb = yda * zba - yba * zda; ycrossdb = zda * xba - zba * xda; zcrossdb = xda * yba - xba * yda; xcrossbc = yba * zca - yca * zba; ycrossbc = zba * xca - zca * xba; zcrossbc = xba * yca - xca * yba; denominator = 0.5 / (xba * xcrosscd + yba * ycrosscd + zba * zcrosscd);// Inexact // denominator = 0.5 / orient3d(b,c,d,a);//Exact xcirca = (balength * xcrosscd + calength * xcrossdb + dalength * xcrossbc) * denominator; ycirca = (balength * ycrosscd + calength * ycrossdb + dalength * ycrossbc) * denominator; zcirca = (balength * zcrosscd + calength * zcrossdb + dalength * zcrossbc) * denominator; double[] circumcenter = new double[3]; circumcenter[0] = xcirca + a[0]; circumcenter[1] = ycirca + a[1]; circumcenter[2] = zcirca + a[2]; if (xi != null) { xi[0] = (xcirca * xcrosscd + ycirca * ycrosscd + zcirca * zcrosscd) * (2.0 * denominator); eta[0] = (xcirca * xcrossdb + ycirca * ycrossdb + zcirca * zcrossdb) * (2.0 * denominator); zeta[0] = (xcirca * xcrossbc + ycirca * ycrossbc + zcirca * zcrossbc) * (2.0 * denominator); } return circumcenter; } /** * Circumcenter tri. * * @param a the a * @param b the b * @param c the c * @return the double[] */ public double[] circumcenterTri(double[] a, double[] b, double[] c) { double xba, yba, zba, xca, yca, zca; double balength, calength; double xcrossbc, ycrossbc, zcrossbc; double denominator; double xcirca, ycirca, zcirca; xba = b[0] - a[0]; yba = b[1] - a[1]; zba = b[2] - a[2]; xca = c[0] - a[0]; yca = c[1] - a[1]; zca = c[2] - a[2]; balength = xba * xba + yba * yba + zba * zba; calength = xca * xca + yca * yca + zca * zca; xcrossbc = yba * zca - yca * zba; ycrossbc = zba * xca - zca * xba; zcrossbc = xba * yca - xca * yba; denominator = 0.5 / (xcrossbc * xcrossbc + ycrossbc * ycrossbc + zcrossbc * zcrossbc); xcirca = ((balength * yca - calength * yba) * zcrossbc - (balength * zca - calength * zba) * ycrossbc) * denominator; ycirca = ((balength * zca - calength * zba) * xcrossbc - (balength * xca - calength * xba) * zcrossbc) * denominator; zcirca = ((balength * xca - calength * xba) * ycrossbc - (balength * yca - calength * yba) * xcrossbc) * denominator; double[] circumcenter = new double[3]; circumcenter[0] = xcirca + a[0]; circumcenter[1] = ycirca + a[1]; circumcenter[2] = zcirca + a[2]; return circumcenter; } /** * The main method. * * @param args the arguments */ public static void main(String[] args) { WB_Predicates predicates = new WB_Predicates(); System.out.println(predicates.incircleTri(new double[] { 0, 1.0000000000033 }, new double[] { 0, -1.0000000000033 }, new double[] { 1.0000000000033, 0 }, new double[] { -1.0000000000033, 0 })); } }