diff --git a/src/app/geometry/vequidistant.cpp b/src/app/geometry/vequidistant.cpp index 2abdc2dc9..16ed9a8aa 100644 --- a/src/app/geometry/vequidistant.cpp +++ b/src/app/geometry/vequidistant.cpp @@ -365,7 +365,8 @@ QVector VEquidistant::EkvPoint(const QLineF &line1, const QLineF &line2 QVector points; if (line1.p2() != line2.p2()) { - qDebug()<<"Last point of two lines must be equal."; + qDebug()<<"Last points of two lines must be equal."; + return QVector(); } QPointF CrosPoint; QLineF bigLine1 = ParallelLine(line1, width ); @@ -390,11 +391,19 @@ QVector VEquidistant::EkvPoint(const QLineF &line1, const QLineF &line2 // We do not check intersection type because intersection must alwayse exist QPointF px; cutLine.setAngle(cutLine.angle()+90); - bigLine1.intersect( cutLine, &px ); + QLineF::IntersectType type = bigLine1.intersect( cutLine, &px ); + if (type == QLineF::NoIntersection) + { + qDebug()<<"Couldn't find intersection with cut line."; + } points.append(px); cutLine.setAngle(cutLine.angle()-180); - bigLine2.intersect( cutLine, &px ); + type = bigLine2.intersect( cutLine, &px ); + if (type == QLineF::NoIntersection) + { + qDebug()<<"Couldn't find intersection with cut line."; + } points.append(px); } else diff --git a/src/app/geometry/vgobject.h b/src/app/geometry/vgobject.h index 8c91fd54f..e9a316a10 100644 --- a/src/app/geometry/vgobject.h +++ b/src/app/geometry/vgobject.h @@ -33,6 +33,7 @@ #include #include #include +#include class VGObjectData; class QLineF; diff --git a/src/app/xml/vpattern.cpp b/src/app/xml/vpattern.cpp index 85df02add..4e567f6c3 100644 --- a/src/app/xml/vpattern.cpp +++ b/src/app/xml/vpattern.cpp @@ -444,7 +444,16 @@ void VPattern::setCurrentData() } if (tools.size() > 0) { - ToolExists(id); + try + { + ToolExists(id); + } + catch (VExceptionBadId &e) + { + qCDebug(vXML)<<"List of tools doesn't containe id="<getData(); qCDebug(vXML)<<"Data successfully updated."; diff --git a/src/libs/ifc/exception/vexception.h b/src/libs/ifc/exception/vexception.h index 3cf192406..302010102 100644 --- a/src/libs/ifc/exception/vexception.h +++ b/src/libs/ifc/exception/vexception.h @@ -31,6 +31,7 @@ #include #include +#include #include "ifcdef.h" class QWidget; diff --git a/src/libs/qmuparser/qmuparsererror.cpp b/src/libs/qmuparser/qmuparsererror.cpp index 622bd1777..89ffbea50 100644 --- a/src/libs/qmuparser/qmuparsererror.cpp +++ b/src/libs/qmuparser/qmuparsererror.cpp @@ -23,6 +23,7 @@ #include "qmuparsererror.h" #include +#include #ifdef Q_OS_WIN #include diff --git a/src/libs/vobj/delaunay.c b/src/libs/vobj/delaunay.c index ca4613177..37cd77cc4 100644 --- a/src/libs/vobj/delaunay.c +++ b/src/libs/vobj/delaunay.c @@ -1001,6 +1001,8 @@ delaunay2d_t* delaunay2d_from(del_point2d_t *points, unsigned int num_points) { unsigned int i; unsigned int* faces = NULL; + del.num_faces = 0; //Warning using uninitialized value + #if PREDICATE == EXACT_PREDICATE exactinit(); #endif diff --git a/src/libs/vobj/predicates.c b/src/libs/vobj/predicates.c index 970ce5e52..7da2238e7 100644 --- a/src/libs/vobj/predicates.c +++ b/src/libs/vobj/predicates.c @@ -45,14 +45,8 @@ /* points. Each point is an array of two or three floating-point */ /* numbers. The geometric predicates, described in the papers, are */ /* */ -/* orient2d(pa, pb, pc) */ -/* orient2dfast(pa, pb, pc) */ -/* orient3d(pa, pb, pc, pd) */ -/* orient3dfast(pa, pb, pc, pd) */ /* incircle(pa, pb, pc, pd) */ /* incirclefast(pa, pb, pc, pd) */ -/* insphere(pa, pb, pc, pd, pe) */ -/* inspherefast(pa, pb, pc, pd, pe) */ /* */ /* Those with suffix "fast" are approximate, non-robust versions. Those */ /* without the suffix are adaptive precision, robust versions. There */ @@ -76,8 +70,6 @@ /* */ /* The arithmetic functions are */ /* */ -/* grow_expansion(elen, e, b, h) */ -/* grow_expansion_zeroelim(elen, e, b, h) */ /* expansion_sum(elen, e, flen, f, h) */ /* expansion_sum_zeroelim1(elen, e, flen, f, h) */ /* expansion_sum_zeroelim2(elen, e, flen, f, h) */ @@ -116,6 +108,7 @@ #include #include #include +#include /* On some machines, the exact arithmetic routines might be defeated by the */ /* use of internal extended precision floating-point registers. Sometimes */ @@ -129,7 +122,6 @@ #define INEXACT /* Nothing */ /* #define INEXACT volatile */ -#define REAL double /* float or double */ #define REALPRINT doubleprint #define REALRAND doublerand #define NARROWRAND narrowdoublerand @@ -144,6 +136,7 @@ #define Absolute(a) ((a) >= 0.0 ? (a) : -(a)) /* #define Absolute(a) fabs(a) */ + /* Many of the operations are broken up into two pieces, a main part that */ /* performs an approximate operation, and a "tail" that computes the */ /* roundoff error of that operation. */ @@ -162,42 +155,34 @@ y = b - bvirt #define Fast_Two_Sum(a, b, x, y) \ - x = (REAL) (a + b); \ + x = (qreal) (a + b); \ Fast_Two_Sum_Tail(a, b, x, y) -#define Fast_Two_Diff_Tail(a, b, x, y) \ - bvirt = a - x; \ - y = bvirt - b - -#define Fast_Two_Diff(a, b, x, y) \ - x = (REAL) (a - b); \ - Fast_Two_Diff_Tail(a, b, x, y) - #define Two_Sum_Tail(a, b, x, y) \ - bvirt = (REAL) (x - a); \ + bvirt = (qreal) (x - a); \ avirt = x - bvirt; \ bround = b - bvirt; \ around = a - avirt; \ y = around + bround #define Two_Sum(a, b, x, y) \ - x = (REAL) (a + b); \ + x = (qreal) (a + b); \ Two_Sum_Tail(a, b, x, y) #define Two_Diff_Tail(a, b, x, y) \ - bvirt = (REAL) (a - x); \ + bvirt = (qreal) (a - x); \ avirt = x + bvirt; \ bround = bvirt - b; \ around = a - avirt; \ y = around + bround #define Two_Diff(a, b, x, y) \ - x = (REAL) (a - b); \ + x = (qreal) (a - b); \ Two_Diff_Tail(a, b, x, y) #define Split(a, ahi, alo) \ - c = (REAL) (splitter * a); \ - abig = (REAL) (c - a); \ + c = (qreal) (splitter * a); \ + abig = (qreal) (c - a); \ ahi = c - abig; \ alo = a - ahi @@ -210,30 +195,20 @@ y = (alo * blo) - err3 #define Two_Product(a, b, x, y) \ - x = (REAL) (a * b); \ + x = (qreal) (a * b); \ Two_Product_Tail(a, b, x, y) /* Two_Product_Presplit() is Two_Product() where one of the inputs has */ /* already been split. Avoids redundant splitting. */ #define Two_Product_Presplit(a, b, bhi, blo, x, y) \ - x = (REAL) (a * b); \ + x = (qreal) (a * b); \ Split(a, ahi, alo); \ err1 = x - (ahi * bhi); \ err2 = err1 - (alo * bhi); \ err3 = err2 - (ahi * blo); \ y = (alo * blo) - err3 -/* Two_Product_2Presplit() is Two_Product() where both of the inputs have */ -/* already been split. Avoids redundant splitting. */ - -#define Two_Product_2Presplit(a, ahi, alo, b, bhi, blo, x, y) \ - x = (REAL) (a * b); \ - err1 = x - (ahi * bhi); \ - err2 = err1 - (alo * bhi); \ - err3 = err2 - (ahi * blo); \ - y = (alo * blo) - err3 - /* Square() can be done more quickly than Two_Product(). */ #define Square_Tail(a, x, y) \ @@ -243,7 +218,7 @@ y = (alo * alo) - err3 #define Square(a, x, y) \ - x = (REAL) (a * a); \ + x = (qreal) (a * a); \ Square_Tail(a, x, y) /* Macros for summing expansions of various fixed lengths. These are all */ @@ -265,360 +240,14 @@ Two_One_Diff(a1, a0, b0, _j, _0, x0); \ Two_One_Diff(_j, _0, b1, x3, x2, x1) -#define Four_One_Sum(a3, a2, a1, a0, b, x4, x3, x2, x1, x0) \ - Two_One_Sum(a1, a0, b , _j, x1, x0); \ - Two_One_Sum(a3, a2, _j, x4, x3, x2) - -#define Four_Two_Sum(a3, a2, a1, a0, b1, b0, x5, x4, x3, x2, x1, x0) \ - Four_One_Sum(a3, a2, a1, a0, b0, _k, _2, _1, _0, x0); \ - Four_One_Sum(_k, _2, _1, _0, b1, x5, x4, x3, x2, x1) - -#define Four_Four_Sum(a3, a2, a1, a0, b4, b3, b1, b0, x7, x6, x5, x4, x3, x2, \ - x1, x0) \ - Four_Two_Sum(a3, a2, a1, a0, b1, b0, _l, _2, _1, _0, x1, x0); \ - Four_Two_Sum(_l, _2, _1, _0, b4, b3, x7, x6, x5, x4, x3, x2) - -#define Eight_One_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b, x8, x7, x6, x5, x4, \ - x3, x2, x1, x0) \ - Four_One_Sum(a3, a2, a1, a0, b , _j, x3, x2, x1, x0); \ - Four_One_Sum(a7, a6, a5, a4, _j, x8, x7, x6, x5, x4) - -#define Eight_Two_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b1, b0, x9, x8, x7, \ - x6, x5, x4, x3, x2, x1, x0) \ - Eight_One_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b0, _k, _6, _5, _4, _3, _2, \ - _1, _0, x0); \ - Eight_One_Sum(_k, _6, _5, _4, _3, _2, _1, _0, b1, x9, x8, x7, x6, x5, x4, \ - x3, x2, x1) - -#define Eight_Four_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b4, b3, b1, b0, x11, \ - x10, x9, x8, x7, x6, x5, x4, x3, x2, x1, x0) \ - Eight_Two_Sum(a7, a6, a5, a4, a3, a2, a1, a0, b1, b0, _l, _6, _5, _4, _3, \ - _2, _1, _0, x1, x0); \ - Eight_Two_Sum(_l, _6, _5, _4, _3, _2, _1, _0, b4, b3, x11, x10, x9, x8, \ - x7, x6, x5, x4, x3, x2) - -/* Macros for multiplying expansions of various fixed lengths. */ - -#define Two_One_Product(a1, a0, b, x3, x2, x1, x0) \ - Split(b, bhi, blo); \ - Two_Product_Presplit(a0, b, bhi, blo, _i, x0); \ - Two_Product_Presplit(a1, b, bhi, blo, _j, _0); \ - Two_Sum(_i, _0, _k, x1); \ - Fast_Two_Sum(_j, _k, x3, x2) - -#define Four_One_Product(a3, a2, a1, a0, b, x7, x6, x5, x4, x3, x2, x1, x0) \ - Split(b, bhi, blo); \ - Two_Product_Presplit(a0, b, bhi, blo, _i, x0); \ - Two_Product_Presplit(a1, b, bhi, blo, _j, _0); \ - Two_Sum(_i, _0, _k, x1); \ - Fast_Two_Sum(_j, _k, _i, x2); \ - Two_Product_Presplit(a2, b, bhi, blo, _j, _0); \ - Two_Sum(_i, _0, _k, x3); \ - Fast_Two_Sum(_j, _k, _i, x4); \ - Two_Product_Presplit(a3, b, bhi, blo, _j, _0); \ - Two_Sum(_i, _0, _k, x5); \ - Fast_Two_Sum(_j, _k, x7, x6) - -#define Two_Two_Product(a1, a0, b1, b0, x7, x6, x5, x4, x3, x2, x1, x0) \ - Split(a0, a0hi, a0lo); \ - Split(b0, bhi, blo); \ - Two_Product_2Presplit(a0, a0hi, a0lo, b0, bhi, blo, _i, x0); \ - Split(a1, a1hi, a1lo); \ - Two_Product_2Presplit(a1, a1hi, a1lo, b0, bhi, blo, _j, _0); \ - Two_Sum(_i, _0, _k, _1); \ - Fast_Two_Sum(_j, _k, _l, _2); \ - Split(b1, bhi, blo); \ - Two_Product_2Presplit(a0, a0hi, a0lo, b1, bhi, blo, _i, _0); \ - Two_Sum(_1, _0, _k, x1); \ - Two_Sum(_2, _k, _j, _1); \ - Two_Sum(_l, _j, _m, _2); \ - Two_Product_2Presplit(a1, a1hi, a1lo, b1, bhi, blo, _j, _0); \ - Two_Sum(_i, _0, _n, _0); \ - Two_Sum(_1, _0, _i, x2); \ - Two_Sum(_2, _i, _k, _1); \ - Two_Sum(_m, _k, _l, _2); \ - Two_Sum(_j, _n, _k, _0); \ - Two_Sum(_1, _0, _j, x3); \ - Two_Sum(_2, _j, _i, _1); \ - Two_Sum(_l, _i, _m, _2); \ - Two_Sum(_1, _k, _i, x4); \ - Two_Sum(_2, _i, _k, x5); \ - Two_Sum(_m, _k, x7, x6) - -/* An expansion of length two can be squared more quickly than finding the */ -/* product of two different expansions of length two, and the result is */ -/* guaranteed to have no more than six (rather than eight) components. */ - -#define Two_Square(a1, a0, x5, x4, x3, x2, x1, x0) \ - Square(a0, _j, x0); \ - _0 = a0 + a0; \ - Two_Product(a1, _0, _k, _1); \ - Two_One_Sum(_k, _1, _j, _l, _2, x1); \ - Square(a1, _j, _1); \ - Two_Two_Sum(_j, _1, _l, _2, x5, x4, x3, x2) - -REAL splitter; /* = 2^ceiling(p / 2) + 1. Used to split floats in half. */ -REAL epsilon; /* = 2^(-p). Used to estimate roundoff errors. */ +qreal splitter; /* = 2^ceiling(p / 2) + 1. Used to split floats in half. */ +qreal epsilon; /* = 2^(-p). Used to estimate roundoff errors. */ /* A set of coefficients used to calculate maximum roundoff errors. */ -REAL resulterrbound; -REAL ccwerrboundA, ccwerrboundB, ccwerrboundC; -REAL o3derrboundA, o3derrboundB, o3derrboundC; -REAL iccerrboundA, iccerrboundB, iccerrboundC; -REAL isperrboundA, isperrboundB, isperrboundC; - -/*****************************************************************************/ -/* */ -/* doubleprint() Print the bit representation of a double. */ -/* */ -/* Useful for debugging exact arithmetic routines. */ -/* */ -/*****************************************************************************/ - -/* -void doubleprint(number) -double number; -{ - unsigned long long no; - unsigned long long sign, expo; - int exponent; - int i, bottomi; - - no = *(unsigned long long *) &number; - sign = no & 0x8000000000000000ll; - expo = (no >> 52) & 0x7ffll; - exponent = (int) expo; - exponent = exponent - 1023; - if (sign) { - printf("-"); - } else { - printf(" "); - } - if (exponent == -1023) { - printf( - "0.0000000000000000000000000000000000000000000000000000_ ( )"); - } else { - printf("1."); - bottomi = -1; - for (i = 0; i < 52; i++) { - if (no & 0x0008000000000000ll) { - printf("1"); - bottomi = i; - } else { - printf("0"); - } - no <<= 1; - } - printf("_%d (%d)", exponent, exponent - 1 - bottomi); - } -} -*/ - -/*****************************************************************************/ -/* */ -/* floatprint() Print the bit representation of a float. */ -/* */ -/* Useful for debugging exact arithmetic routines. */ -/* */ -/*****************************************************************************/ - -/* -void floatprint(number) -float number; -{ - unsigned no; - unsigned sign, expo; - int exponent; - int i, bottomi; - - no = *(unsigned *) &number; - sign = no & 0x80000000; - expo = (no >> 23) & 0xff; - exponent = (int) expo; - exponent = exponent - 127; - if (sign) { - printf("-"); - } else { - printf(" "); - } - if (exponent == -127) { - printf("0.00000000000000000000000_ ( )"); - } else { - printf("1."); - bottomi = -1; - for (i = 0; i < 23; i++) { - if (no & 0x00400000) { - printf("1"); - bottomi = i; - } else { - printf("0"); - } - no <<= 1; - } - printf("_%3d (%3d)", exponent, exponent - 1 - bottomi); - } -} -*/ - -/*****************************************************************************/ -/* */ -/* expansion_print() Print the bit representation of an expansion. */ -/* */ -/* Useful for debugging exact arithmetic routines. */ -/* */ -/*****************************************************************************/ - -/* -void expansion_print(elen, e) -int elen; -REAL *e; -{ - int i; - - for (i = elen - 1; i >= 0; i--) { - REALPRINT(e[i]); - if (i > 0) { - printf(" +\n"); - } else { - printf("\n"); - } - } -} -*/ - -/*****************************************************************************/ -/* */ -/* doublerand() Generate a double with random 53-bit significand and a */ -/* random exponent in [0, 511]. */ -/* */ -/*****************************************************************************/ - -double doublerand() -{ - double result; - double expo; - long a, b, c; - long i; - - a = rand(); - b = rand(); - c = rand(); - result = (double) (a - 1073741824) * 8388608.0 + (double) (b >> 8); - for (i = 512, expo = 2; i <= 131072; i *= 2, expo = expo * expo) { - if (c & i) { - result *= expo; - } - } - return result; -} - -/*****************************************************************************/ -/* */ -/* narrowdoublerand() Generate a double with random 53-bit significand */ -/* and a random exponent in [0, 7]. */ -/* */ -/*****************************************************************************/ - -double narrowdoublerand() -{ - double result; - double expo; - long a, b, c; - long i; - - a = rand(); - b = rand(); - c = rand(); - result = (double) (a - 1073741824) * 8388608.0 + (double) (b >> 8); - for (i = 512, expo = 2; i <= 2048; i *= 2, expo = expo * expo) { - if (c & i) { - result *= expo; - } - } - return result; -} - -/*****************************************************************************/ -/* */ -/* uniformdoublerand() Generate a double with random 53-bit significand. */ -/* */ -/*****************************************************************************/ - -double uniformdoublerand() -{ - double result; - long a, b; - - a = rand(); - b = rand(); - result = (double) (a - 1073741824) * 8388608.0 + (double) (b >> 8); - return result; -} - -/*****************************************************************************/ -/* */ -/* floatrand() Generate a float with random 24-bit significand and a */ -/* random exponent in [0, 63]. */ -/* */ -/*****************************************************************************/ - -float floatrand() -{ - float result; - float expo; - long a, c; - long i; - - a = rand(); - c = rand(); - result = (float) ((a - 1073741824) >> 6); - for (i = 512, expo = 2; i <= 16384; i *= 2, expo = expo * expo) { - if (c & i) { - result *= expo; - } - } - return result; -} - -/*****************************************************************************/ -/* */ -/* narrowfloatrand() Generate a float with random 24-bit significand and */ -/* a random exponent in [0, 7]. */ -/* */ -/*****************************************************************************/ - -float narrowfloatrand() -{ - float result; - float expo; - long a, c; - long i; - - a = rand(); - c = rand(); - result = (float) ((a - 1073741824) >> 6); - for (i = 512, expo = 2; i <= 2048; i *= 2, expo = expo * expo) { - if (c & i) { - result *= expo; - } - } - return result; -} - -/*****************************************************************************/ -/* */ -/* uniformfloatrand() Generate a float with random 24-bit significand. */ -/* */ -/*****************************************************************************/ - -float uniformfloatrand() -{ - float result; - long a; - - a = rand(); - result = (float) ((a - 1073741824) >> 6); - return result; -} +qreal resulterrbound; +qreal ccwerrboundA, ccwerrboundB, ccwerrboundC; +qreal o3derrboundA, o3derrboundB, o3derrboundC; +qreal iccerrboundA, iccerrboundB, iccerrboundC; +qreal isperrboundA, isperrboundB, isperrboundC; /*****************************************************************************/ /* */ @@ -641,365 +270,46 @@ float uniformfloatrand() void exactinit() { - REAL half; - REAL check, lastcheck; - int every_other; + qreal half; + qreal check, lastcheck; + int every_other; - every_other = 1; - half = 0.5; - epsilon = 1.0; - splitter = 1.0; - check = 1.0; - /* Repeatedly divide `epsilon' by two until it is too small to add to */ - /* one without causing roundoff. (Also check if the sum is equal to */ - /* the previous sum, for machines that round up instead of using exact */ - /* rounding. Not that this library will work on such machines anyway. */ - do { - lastcheck = check; - epsilon *= half; - if (every_other) { - splitter *= 2.0; - } - every_other = !every_other; - check = 1.0 + epsilon; - } while ((check != 1.0) && (check != lastcheck)); - splitter += 1.0; + every_other = 1; + half = 0.5; + epsilon = 1.0; + splitter = 1.0; + check = 1.0; + /* Repeatedly divide `epsilon' by two until it is too small to add to */ + /* one without causing roundoff. (Also check if the sum is equal to */ + /* the previous sum, for machines that round up instead of using exact */ + /* rounding. Not that this library will work on such machines anyway. */ + do + { + lastcheck = check; + epsilon *= half; + if (every_other) + { + splitter *= 2.0; + } + every_other = !every_other; + check = 1.0 + epsilon; + } while ((check != 1.0) && (check != lastcheck)); + splitter += 1.0; - /* Error bounds for orientation and incircle tests. */ - 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; -} - -/*****************************************************************************/ -/* */ -/* grow_expansion() Add a scalar to an expansion. */ -/* */ -/* Sets h = e + b. See the long version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ -/* properties as well. (That is, if e has one of these properties, so */ -/* will h.) */ -/* */ -/*****************************************************************************/ - -int grow_expansion(elen, e, b, h) /* e and h can be the same. */ -int elen; -REAL *e; -REAL b; -REAL *h; -{ - REAL Q; - INEXACT REAL Qnew; - int eindex; - REAL enow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - - Q = b; - for (eindex = 0; eindex < elen; eindex++) { - enow = e[eindex]; - Two_Sum(Q, enow, Qnew, h[eindex]); - Q = Qnew; - } - h[eindex] = Q; - return eindex + 1; -} - -/*****************************************************************************/ -/* */ -/* grow_expansion_zeroelim() Add a scalar to an expansion, eliminating */ -/* zero components from the output expansion. */ -/* */ -/* Sets h = e + b. See the long version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ -/* properties as well. (That is, if e has one of these properties, so */ -/* will h.) */ -/* */ -/*****************************************************************************/ - -int grow_expansion_zeroelim(elen, e, b, h) /* e and h can be the same. */ -int elen; -REAL *e; -REAL b; -REAL *h; -{ - REAL Q, hh; - INEXACT REAL Qnew; - int eindex, hindex; - REAL enow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - - hindex = 0; - Q = b; - for (eindex = 0; eindex < elen; eindex++) { - enow = e[eindex]; - Two_Sum(Q, enow, Qnew, hh); - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } - } - if ((Q != 0.0) || (hindex == 0)) { - h[hindex++] = Q; - } - return hindex; -} - -/*****************************************************************************/ -/* */ -/* expansion_sum() Sum two expansions. */ -/* */ -/* Sets h = e + f. See the long version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), maintains the nonadjacent property as well. (That is, */ -/* if e has one of these properties, so will h.) Does NOT maintain the */ -/* strongly nonoverlapping property. */ -/* */ -/*****************************************************************************/ - -int expansion_sum(elen, e, flen, f, h) -/* e and h can be the same, but f and h cannot. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; -{ - REAL Q; - INEXACT REAL Qnew; - int findex, hindex, hlast; - REAL hnow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - - Q = f[0]; - for (hindex = 0; hindex < elen; hindex++) { - hnow = e[hindex]; - Two_Sum(Q, hnow, Qnew, h[hindex]); - Q = Qnew; - } - h[hindex] = Q; - hlast = hindex; - for (findex = 1; findex < flen; findex++) { - Q = f[findex]; - for (hindex = findex; hindex <= hlast; hindex++) { - hnow = h[hindex]; - Two_Sum(Q, hnow, Qnew, h[hindex]); - Q = Qnew; - } - h[++hlast] = Q; - } - return hlast + 1; -} - -/*****************************************************************************/ -/* */ -/* expansion_sum_zeroelim1() Sum two expansions, eliminating zero */ -/* components from the output expansion. */ -/* */ -/* Sets h = e + f. See the long version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), maintains the nonadjacent property as well. (That is, */ -/* if e has one of these properties, so will h.) Does NOT maintain the */ -/* strongly nonoverlapping property. */ -/* */ -/*****************************************************************************/ - -int expansion_sum_zeroelim1(elen, e, flen, f, h) -/* e and h can be the same, but f and h cannot. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; -{ - REAL Q; - INEXACT REAL Qnew; - int index, findex, hindex, hlast; - REAL hnow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - - Q = f[0]; - for (hindex = 0; hindex < elen; hindex++) { - hnow = e[hindex]; - Two_Sum(Q, hnow, Qnew, h[hindex]); - Q = Qnew; - } - h[hindex] = Q; - hlast = hindex; - for (findex = 1; findex < flen; findex++) { - Q = f[findex]; - for (hindex = findex; hindex <= hlast; hindex++) { - hnow = h[hindex]; - Two_Sum(Q, hnow, Qnew, h[hindex]); - Q = Qnew; - } - h[++hlast] = Q; - } - hindex = -1; - for (index = 0; index <= hlast; index++) { - hnow = h[index]; - if (hnow != 0.0) { - h[++hindex] = hnow; - } - } - if (hindex == -1) { - return 1; - } else { - return hindex + 1; - } -} - -/*****************************************************************************/ -/* */ -/* expansion_sum_zeroelim2() Sum two expansions, eliminating zero */ -/* components from the output expansion. */ -/* */ -/* Sets h = e + f. See the long version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), maintains the nonadjacent property as well. (That is, */ -/* if e has one of these properties, so will h.) Does NOT maintain the */ -/* strongly nonoverlapping property. */ -/* */ -/*****************************************************************************/ - -int expansion_sum_zeroelim2(elen, e, flen, f, h) -/* e and h can be the same, but f and h cannot. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; -{ - REAL Q, hh; - INEXACT REAL Qnew; - int eindex, findex, hindex, hlast; - REAL enow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - - hindex = 0; - Q = f[0]; - for (eindex = 0; eindex < elen; eindex++) { - enow = e[eindex]; - Two_Sum(Q, enow, Qnew, hh); - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } - } - h[hindex] = Q; - hlast = hindex; - for (findex = 1; findex < flen; findex++) { - hindex = 0; - Q = f[findex]; - for (eindex = 0; eindex <= hlast; eindex++) { - enow = h[eindex]; - Two_Sum(Q, enow, Qnew, hh); - Q = Qnew; - if (hh != 0) { - h[hindex++] = hh; - } - } - h[hindex] = Q; - hlast = hindex; - } - return hlast + 1; -} - -/*****************************************************************************/ -/* */ -/* fast_expansion_sum() Sum two expansions. */ -/* */ -/* Sets h = e + f. See the long version of my paper for details. */ -/* */ -/* If round-to-even is used (as with IEEE 754), maintains the strongly */ -/* nonoverlapping property. (That is, if e is strongly nonoverlapping, h */ -/* will be also.) Does NOT maintain the nonoverlapping or nonadjacent */ -/* properties. */ -/* */ -/*****************************************************************************/ - -int fast_expansion_sum(elen, e, flen, f, h) /* h cannot be e or f. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; -{ - REAL Q; - INEXACT REAL Qnew; - INEXACT REAL bvirt; - REAL avirt, bround, around; - int eindex, findex, hindex; - REAL 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)) { - Fast_Two_Sum(enow, Q, Qnew, h[0]); - enow = e[++eindex]; - } else { - Fast_Two_Sum(fnow, Q, Qnew, h[0]); - fnow = f[++findex]; - } - Q = Qnew; - hindex = 1; - while ((eindex < elen) && (findex < flen)) { - if ((fnow > enow) == (fnow > -enow)) { - Two_Sum(Q, enow, Qnew, h[hindex]); - enow = e[++eindex]; - } else { - Two_Sum(Q, fnow, Qnew, h[hindex]); - fnow = f[++findex]; - } - Q = Qnew; - hindex++; - } - } - while (eindex < elen) { - Two_Sum(Q, enow, Qnew, h[hindex]); - enow = e[++eindex]; - Q = Qnew; - hindex++; - } - while (findex < flen) { - Two_Sum(Q, fnow, Qnew, h[hindex]); - fnow = f[++findex]; - Q = Qnew; - hindex++; - } - h[hindex] = Q; - return hindex + 1; + /* Error bounds for orientation and incircle tests. */ + 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; } /*****************************************************************************/ @@ -1016,261 +326,91 @@ REAL *h; /* */ /*****************************************************************************/ -int fast_expansion_sum_zeroelim(elen, e, flen, f, h) /* h cannot be e or f. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; +int fast_expansion_sum_zeroelim(int elen, qreal *e, int flen, qreal *f, qreal *h) /* h cannot be e or f. */ { - REAL Q; - INEXACT REAL Qnew; - INEXACT REAL hh; - INEXACT REAL bvirt; - REAL avirt, bround, around; - int eindex, findex, hindex; - REAL enow, fnow; + qreal Q; + INEXACT qreal Qnew; + INEXACT qreal hh; + INEXACT qreal bvirt; + qreal avirt, bround, around; + int eindex, findex, hindex; + qreal 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)) { - Fast_Two_Sum(enow, Q, Qnew, hh); - enow = e[++eindex]; - } else { - Fast_Two_Sum(fnow, Q, Qnew, hh); - fnow = f[++findex]; + enow = e[0]; + fnow = f[0]; + eindex = findex = 0; + if ((fnow > enow) == (fnow > -enow)) + { + Q = enow; + enow = e[++eindex]; } - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; + else + { + Q = fnow; + fnow = f[++findex]; } - while ((eindex < elen) && (findex < flen)) { - if ((fnow > enow) == (fnow > -enow)) { + hindex = 0; + if ((eindex < elen) && (findex < flen)) + { + if ((fnow > enow) == (fnow > -enow)) + { + Fast_Two_Sum(enow, Q, Qnew, hh); + enow = e[++eindex]; + } + else + { + Fast_Two_Sum(fnow, Q, Qnew, hh); + fnow = f[++findex]; + } + Q = Qnew; + if (hh != 0.0) + { + h[hindex++] = hh; + } + while ((eindex < elen) && (findex < flen)) + { + if ((fnow > enow) == (fnow > -enow)) + { + Two_Sum(Q, enow, Qnew, hh); + enow = e[++eindex]; + } + else + { + Two_Sum(Q, fnow, Qnew, hh); + fnow = f[++findex]; + } + Q = Qnew; + if (hh != 0.0) + { + h[hindex++] = hh; + } + } + } + while (eindex < elen) + { Two_Sum(Q, enow, Qnew, hh); enow = e[++eindex]; - } else { + Q = Qnew; + if (hh != 0.0) + { + h[hindex++] = hh; + } + } + while (findex < flen) + { Two_Sum(Q, fnow, Qnew, hh); fnow = f[++findex]; - } - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } + Q = Qnew; + if (hh != 0.0) + { + h[hindex++] = hh; + } } - } - while (eindex < elen) { - Two_Sum(Q, enow, Qnew, hh); - enow = e[++eindex]; - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; + if ((Q != 0.0) || (hindex == 0)) + { + h[hindex++] = Q; } - } - while (findex < flen) { - Two_Sum(Q, fnow, Qnew, hh); - fnow = f[++findex]; - Q = Qnew; - if (hh != 0.0) { - h[hindex++] = hh; - } - } - if ((Q != 0.0) || (hindex == 0)) { - h[hindex++] = Q; - } - return hindex; -} - -/*****************************************************************************/ -/* */ -/* linear_expansion_sum() Sum two expansions. */ -/* */ -/* Sets h = e + f. See either version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. (That is, if e is */ -/* nonoverlapping, h will be also.) */ -/* */ -/*****************************************************************************/ - -int linear_expansion_sum(elen, e, flen, f, h) /* h cannot be e or f. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; -{ - REAL Q, q; - INEXACT REAL Qnew; - INEXACT REAL R; - INEXACT REAL bvirt; - REAL avirt, bround, around; - int eindex, findex, hindex; - REAL enow, fnow; - REAL g0; - - enow = e[0]; - fnow = f[0]; - eindex = findex = 0; - if ((fnow > enow) == (fnow > -enow)) { - g0 = enow; - enow = e[++eindex]; - } else { - g0 = fnow; - fnow = f[++findex]; - } - if ((eindex < elen) && ((findex >= flen) - || ((fnow > enow) == (fnow > -enow)))) { - Fast_Two_Sum(enow, g0, Qnew, q); - enow = e[++eindex]; - } else { - Fast_Two_Sum(fnow, g0, Qnew, q); - fnow = f[++findex]; - } - Q = Qnew; - for (hindex = 0; hindex < elen + flen - 2; hindex++) { - if ((eindex < elen) && ((findex >= flen) - || ((fnow > enow) == (fnow > -enow)))) { - Fast_Two_Sum(enow, q, R, h[hindex]); - enow = e[++eindex]; - } else { - Fast_Two_Sum(fnow, q, R, h[hindex]); - fnow = f[++findex]; - } - Two_Sum(Q, R, Qnew, q); - Q = Qnew; - } - h[hindex] = q; - h[hindex + 1] = Q; - return hindex + 2; -} - -/*****************************************************************************/ -/* */ -/* linear_expansion_sum_zeroelim() Sum two expansions, eliminating zero */ -/* components from the output expansion. */ -/* */ -/* Sets h = e + f. See either version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. (That is, if e is */ -/* nonoverlapping, h will be also.) */ -/* */ -/*****************************************************************************/ - -int linear_expansion_sum_zeroelim(elen, e, flen, f, h)/* h cannot be e or f. */ -int elen; -REAL *e; -int flen; -REAL *f; -REAL *h; -{ - REAL Q, q, hh; - INEXACT REAL Qnew; - INEXACT REAL R; - INEXACT REAL bvirt; - REAL avirt, bround, around; - int eindex, findex, hindex; - int count; - REAL enow, fnow; - REAL g0; - - enow = e[0]; - fnow = f[0]; - eindex = findex = 0; - hindex = 0; - if ((fnow > enow) == (fnow > -enow)) { - g0 = enow; - enow = e[++eindex]; - } else { - g0 = fnow; - fnow = f[++findex]; - } - if ((eindex < elen) && ((findex >= flen) - || ((fnow > enow) == (fnow > -enow)))) { - Fast_Two_Sum(enow, g0, Qnew, q); - enow = e[++eindex]; - } else { - Fast_Two_Sum(fnow, g0, Qnew, q); - fnow = f[++findex]; - } - Q = Qnew; - for (count = 2; count < elen + flen; count++) { - if ((eindex < elen) && ((findex >= flen) - || ((fnow > enow) == (fnow > -enow)))) { - Fast_Two_Sum(enow, q, R, hh); - enow = e[++eindex]; - } else { - Fast_Two_Sum(fnow, q, R, hh); - fnow = f[++findex]; - } - Two_Sum(Q, R, Qnew, q); - Q = Qnew; - if (hh != 0) { - h[hindex++] = hh; - } - } - if (q != 0) { - h[hindex++] = q; - } - if ((Q != 0.0) || (hindex == 0)) { - h[hindex++] = Q; - } - return hindex; -} - -/*****************************************************************************/ -/* */ -/* scale_expansion() Multiply an expansion by a scalar. */ -/* */ -/* Sets h = be. See either version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), maintains the strongly nonoverlapping and nonadjacent */ -/* properties as well. (That is, if e has one of these properties, so */ -/* will h.) */ -/* */ -/*****************************************************************************/ - -int scale_expansion(elen, e, b, h) /* e and h cannot be the same. */ -int elen; -REAL *e; -REAL b; -REAL *h; -{ - INEXACT REAL Q; - INEXACT REAL sum; - INEXACT REAL product1; - REAL product0; - int eindex, hindex; - REAL enow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - - Split(b, bhi, blo); - Two_Product_Presplit(e[0], b, bhi, blo, Q, h[0]); - hindex = 1; - for (eindex = 1; eindex < elen; eindex++) { - enow = e[eindex]; - Two_Product_Presplit(enow, b, bhi, blo, product1, product0); - Two_Sum(Q, product0, sum, h[hindex]); - hindex++; - Two_Sum(product1, sum, Q, h[hindex]); - hindex++; - } - h[hindex] = Q; - return elen + elen; + return hindex; } /*****************************************************************************/ @@ -1288,96 +428,47 @@ REAL *h; /* */ /*****************************************************************************/ -int scale_expansion_zeroelim(elen, e, b, h) /* e and h cannot be the same. */ -int elen; -REAL *e; -REAL b; -REAL *h; +int scale_expansion_zeroelim(int elen, qreal *e, qreal b, qreal *h) /* e and h cannot be the same. */ { - INEXACT REAL Q, sum; - REAL hh; - INEXACT REAL product1; - REAL product0; - int eindex, hindex; - REAL enow; - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; + INEXACT qreal Q, sum; + qreal hh; + INEXACT qreal product1; + qreal product0; + int eindex, hindex; + qreal enow; + INEXACT qreal bvirt; + qreal avirt, bround, around; + INEXACT qreal c; + INEXACT qreal abig; + qreal ahi, alo, bhi, blo; + qreal err1, err2, err3; - Split(b, bhi, blo); - Two_Product_Presplit(e[0], b, bhi, blo, Q, hh); - hindex = 0; - if (hh != 0) { + Split(b, bhi, blo); + Two_Product_Presplit(e[0], b, bhi, blo, Q, hh); + hindex = 0; + if (hh != 0) { h[hindex++] = hh; - } - for (eindex = 1; eindex < elen; eindex++) { - enow = e[eindex]; - Two_Product_Presplit(enow, b, bhi, blo, product1, product0); - Two_Sum(Q, product0, sum, hh); - if (hh != 0) { - h[hindex++] = hh; } - Fast_Two_Sum(product1, sum, Q, hh); - if (hh != 0) { - h[hindex++] = hh; + for (eindex = 1; eindex < elen; eindex++) + { + enow = e[eindex]; + Two_Product_Presplit(enow, b, bhi, blo, product1, product0); + Two_Sum(Q, product0, sum, hh); + if (hh != 0) + { + h[hindex++] = hh; + } + Fast_Two_Sum(product1, sum, Q, hh); + if (hh != 0) + { + h[hindex++] = hh; + } } - } - if ((Q != 0.0) || (hindex == 0)) { - h[hindex++] = Q; - } - return hindex; -} - -/*****************************************************************************/ -/* */ -/* compress() Compress an expansion. */ -/* */ -/* See the long version of my paper for details. */ -/* */ -/* Maintains the nonoverlapping property. If round-to-even is used (as */ -/* with IEEE 754), then any nonoverlapping expansion is converted to a */ -/* nonadjacent expansion. */ -/* */ -/*****************************************************************************/ - -int compress(elen, e, h) /* e and h may be the same. */ -int elen; -REAL *e; -REAL *h; -{ - REAL Q, q; - INEXACT REAL Qnew; - int eindex, hindex; - INEXACT REAL bvirt; - REAL enow, hnow; - int top, bottom; - - bottom = elen - 1; - Q = e[bottom]; - for (eindex = elen - 2; eindex >= 0; eindex--) { - enow = e[eindex]; - Fast_Two_Sum(Q, enow, Qnew, q); - if (q != 0) { - h[bottom--] = Qnew; - Q = q; - } else { - Q = Qnew; + if ((Q != 0.0) || (hindex == 0)) + { + h[hindex++] = Q; } - } - top = 0; - for (hindex = bottom + 1; hindex < elen; hindex++) { - hnow = h[hindex]; - Fast_Two_Sum(hnow, Q, Qnew, q); - if (q != 0) { - h[top++] = q; - } - Q = Qnew; - } - h[top] = Q; - return top + 1; + return hindex; } /*****************************************************************************/ @@ -1388,2874 +479,585 @@ REAL *h; /* */ /*****************************************************************************/ -REAL estimate(elen, e) -int elen; -REAL *e; +qreal estimate(int elen, qreal *e) { - REAL Q; - int eindex; + qreal Q; + int eindex; - Q = e[0]; - for (eindex = 1; eindex < elen; eindex++) { - Q += e[eindex]; - } - return Q; + Q = e[0]; + for (eindex = 1; eindex < elen; eindex++) + { + Q += e[eindex]; + } + return Q; } -/*****************************************************************************/ -/* */ -/* orient2dfast() Approximate 2D orientation test. Nonrobust. */ -/* orient2dexact() Exact 2D orientation test. Robust. */ -/* orient2dslow() Another exact 2D orientation test. Robust. */ -/* orient2d() Adaptive exact 2D orientation test. Robust. */ -/* */ -/* Return a positive value if the points pa, pb, and pc occur */ -/* in counterclockwise order; a negative value if they occur */ -/* in clockwise order; and zero if they are collinear. The */ -/* result is also a rough approximation of twice the signed */ -/* area of the triangle defined by the three points. */ -/* */ -/* Only the first and last routine should be used; the middle two are for */ -/* timings. */ -/* */ -/* The last three use exact arithmetic to ensure a correct answer. The */ -/* result returned is the determinant of a matrix. In orient2d() only, */ -/* this determinant is computed adaptively, in the sense that exact */ -/* arithmetic is used only to the degree it is needed to ensure that the */ -/* returned value has the correct sign. Hence, orient2d() is usually quite */ -/* fast, but will run more slowly when the input points are collinear or */ -/* nearly so. */ -/* */ -/*****************************************************************************/ - -REAL orient2dfast(pa, pb, pc) -REAL *pa; -REAL *pb; -REAL *pc; +qreal incircleadapt(qreal *pa, qreal *pb, qreal *pc, qreal *pd, qreal permanent) { - REAL acx, bcx, acy, bcy; + INEXACT qreal adx, bdx, cdx, ady, bdy, cdy; + qreal det, errbound; - acx = pa[0] - pc[0]; - bcx = pb[0] - pc[0]; - acy = pa[1] - pc[1]; - bcy = pb[1] - pc[1]; - return acx * bcy - acy * bcx; -} + INEXACT qreal bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; + qreal bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; + qreal bc[4], ca[4], ab[4]; + INEXACT qreal bc3, ca3, ab3; + qreal axbc[8], axxbc[16], aybc[8], ayybc[16], adet[32]; + int axbclen, axxbclen, aybclen, ayybclen, alen; + qreal bxca[8], bxxca[16], byca[8], byyca[16], bdet[32]; + int bxcalen, bxxcalen, bycalen, byycalen, blen; + qreal cxab[8], cxxab[16], cyab[8], cyyab[16], cdet[32]; + int cxablen, cxxablen, cyablen, cyyablen, clen; + qreal abdet[64]; + int ablen; + qreal fin1[1152], fin2[1152]; + qreal *finnow, *finother, *finswap; + int finlength; -REAL orient2dexact(pa, pb, pc) -REAL *pa; -REAL *pb; -REAL *pc; -{ - INEXACT REAL axby1, axcy1, bxcy1, bxay1, cxay1, cxby1; - REAL axby0, axcy0, bxcy0, bxay0, cxay0, cxby0; - REAL aterms[4], bterms[4], cterms[4]; - INEXACT REAL aterms3, bterms3, cterms3; - REAL v[8], w[12]; - int vlength, wlength; + qreal adxtail, bdxtail, cdxtail, adytail, bdytail, cdytail; + INEXACT qreal adxadx1, adyady1, bdxbdx1, bdybdy1, cdxcdx1, cdycdy1; + qreal adxadx0, adyady0, bdxbdx0, bdybdy0, cdxcdx0, cdycdy0; + qreal aa[4], bb[4], cc[4]; + INEXACT qreal aa3, bb3, cc3; + INEXACT qreal ti1, tj1; + qreal ti0, tj0; + qreal u[4], v[4]; + INEXACT qreal u3, v3; + qreal temp8[8], temp16a[16], temp16b[16], temp16c[16]; + qreal temp32a[32], temp32b[32], temp48[48], temp64[64]; + int temp8len, temp16alen, temp16blen, temp16clen; + int temp32alen, temp32blen, temp48len, temp64len; + qreal axtbb[8], axtcc[8], aytbb[8], aytcc[8]; + int axtbblen, axtcclen, aytbblen, aytcclen; + qreal bxtaa[8], bxtcc[8], bytaa[8], bytcc[8]; + int bxtaalen, bxtcclen, bytaalen, bytcclen; + qreal cxtaa[8], cxtbb[8], cytaa[8], cytbb[8]; + int cxtaalen, cxtbblen, cytaalen, cytbblen; + qreal axtbc[8], aytbc[8], bxtca[8], bytca[8], cxtab[8], cytab[8]; + int axtbclen, aytbclen, bxtcalen, bytcalen, cxtablen, cytablen; + qreal axtbct[16], aytbct[16], bxtcat[16], bytcat[16], cxtabt[16], cytabt[16]; + int axtbctlen, aytbctlen, bxtcatlen, bytcatlen, cxtabtlen, cytabtlen; + qreal axtbctt[8], aytbctt[8], bxtcatt[8]; + qreal bytcatt[8], cxtabtt[8], cytabtt[8]; + int axtbcttlen, aytbcttlen, bxtcattlen, bytcattlen, cxtabttlen, cytabttlen; + qreal abt[8], bct[8], cat[8]; + int abtlen, bctlen, catlen; + qreal abtt[4], bctt[4], catt[4]; + int abttlen, bcttlen, cattlen; + INEXACT qreal abtt3, bctt3, catt3; + qreal negate; - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; + INEXACT qreal bvirt; + qreal avirt, bround, around; + INEXACT qreal c; + INEXACT qreal abig; + qreal ahi, alo, bhi, blo; + qreal err1, err2, err3; + INEXACT qreal _i, _j; + qreal _0; - Two_Product(pa[0], pb[1], axby1, axby0); - Two_Product(pa[0], pc[1], axcy1, axcy0); - Two_Two_Diff(axby1, axby0, axcy1, axcy0, - aterms3, aterms[2], aterms[1], aterms[0]); - aterms[3] = aterms3; + adx = (qreal) (pa[0] - pd[0]); + bdx = (qreal) (pb[0] - pd[0]); + cdx = (qreal) (pc[0] - pd[0]); + ady = (qreal) (pa[1] - pd[1]); + bdy = (qreal) (pb[1] - pd[1]); + cdy = (qreal) (pc[1] - pd[1]); - Two_Product(pb[0], pc[1], bxcy1, bxcy0); - Two_Product(pb[0], pa[1], bxay1, bxay0); - Two_Two_Diff(bxcy1, bxcy0, bxay1, bxay0, - bterms3, bterms[2], bterms[1], bterms[0]); - bterms[3] = bterms3; + Two_Product(bdx, cdy, bdxcdy1, bdxcdy0); + Two_Product(cdx, bdy, cdxbdy1, cdxbdy0); + Two_Two_Diff(bdxcdy1, bdxcdy0, cdxbdy1, cdxbdy0, bc3, bc[2], bc[1], bc[0]); + 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); - Two_Product(pc[0], pa[1], cxay1, cxay0); - Two_Product(pc[0], pb[1], cxby1, cxby0); - Two_Two_Diff(cxay1, cxay0, cxby1, cxby0, - cterms3, cterms[2], cterms[1], cterms[0]); - cterms[3] = cterms3; + Two_Product(cdx, ady, cdxady1, cdxady0); + Two_Product(adx, cdy, adxcdy1, adxcdy0); + Two_Two_Diff(cdxady1, cdxady0, adxcdy1, adxcdy0, ca3, ca[2], ca[1], ca[0]); + 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); - vlength = fast_expansion_sum_zeroelim(4, aterms, 4, bterms, v); - wlength = fast_expansion_sum_zeroelim(vlength, v, 4, cterms, w); + Two_Product(adx, bdy, adxbdy1, adxbdy0); + Two_Product(bdx, ady, bdxady1, bdxady0); + Two_Two_Diff(adxbdy1, adxbdy0, bdxady1, bdxady0, ab3, ab[2], ab[1], ab[0]); + 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); - return w[wlength - 1]; -} + ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); + finlength = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, fin1); -REAL orient2dslow(pa, pb, pc) -REAL *pa; -REAL *pb; -REAL *pc; -{ - INEXACT REAL acx, acy, bcx, bcy; - REAL acxtail, acytail; - REAL bcxtail, bcytail; - REAL negate, negatetail; - REAL axby[8], bxay[8]; - INEXACT REAL axby7, bxay7; - REAL deter[16]; - int deterlen; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j, _k, _l, _m, _n; - REAL _0, _1, _2; - - Two_Diff(pa[0], pc[0], acx, acxtail); - Two_Diff(pa[1], pc[1], acy, acytail); - Two_Diff(pb[0], pc[0], bcx, bcxtail); - Two_Diff(pb[1], pc[1], bcy, bcytail); - - Two_Two_Product(acx, acxtail, bcy, bcytail, - axby7, axby[6], axby[5], axby[4], - axby[3], axby[2], axby[1], axby[0]); - axby[7] = axby7; - negate = -acy; - negatetail = -acytail; - Two_Two_Product(bcx, bcxtail, negate, negatetail, - bxay7, bxay[6], bxay[5], bxay[4], - bxay[3], bxay[2], bxay[1], bxay[0]); - bxay[7] = bxay7; - - deterlen = fast_expansion_sum_zeroelim(8, axby, 8, bxay, deter); - - return deter[deterlen - 1]; -} - -REAL orient2dadapt(pa, pb, pc, detsum) -REAL *pa; -REAL *pb; -REAL *pc; -REAL detsum; -{ - INEXACT REAL acx, acy, bcx, bcy; - REAL acxtail, acytail, bcxtail, bcytail; - INEXACT REAL detleft, detright; - REAL detlefttail, detrighttail; - REAL det, errbound; - REAL B[4], C1[8], C2[12], D[16]; - INEXACT REAL B3; - int C1length, C2length, Dlength; - REAL u[4]; - INEXACT REAL u3; - INEXACT REAL s1, t1; - REAL s0, t0; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - acx = (REAL) (pa[0] - pc[0]); - bcx = (REAL) (pb[0] - pc[0]); - acy = (REAL) (pa[1] - pc[1]); - bcy = (REAL) (pb[1] - pc[1]); - - Two_Product(acx, bcy, detleft, detlefttail); - Two_Product(acy, bcx, detright, detrighttail); - - Two_Two_Diff(detleft, detlefttail, detright, detrighttail, - B3, B[2], B[1], B[0]); - B[3] = B3; - - det = estimate(4, B); - errbound = ccwerrboundB * detsum; - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - Two_Diff_Tail(pa[0], pc[0], acx, acxtail); - Two_Diff_Tail(pb[0], pc[0], bcx, bcxtail); - Two_Diff_Tail(pa[1], pc[1], acy, acytail); - Two_Diff_Tail(pb[1], pc[1], bcy, bcytail); - - if ((acxtail == 0.0) && (acytail == 0.0) - && (bcxtail == 0.0) && (bcytail == 0.0)) { - return det; - } - - errbound = ccwerrboundC * detsum + resulterrbound * Absolute(det); - det += (acx * bcytail + bcy * acxtail) - - (acy * bcxtail + bcx * acytail); - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - Two_Product(acxtail, bcy, s1, s0); - Two_Product(acytail, bcx, t1, t0); - Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); - u[3] = u3; - C1length = fast_expansion_sum_zeroelim(4, B, 4, u, C1); - - Two_Product(acx, bcytail, s1, s0); - Two_Product(acy, bcxtail, t1, t0); - Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); - u[3] = u3; - C2length = fast_expansion_sum_zeroelim(C1length, C1, 4, u, C2); - - Two_Product(acxtail, bcytail, s1, s0); - Two_Product(acytail, bcxtail, t1, t0); - Two_Two_Diff(s1, s0, t1, t0, u3, u[2], u[1], u[0]); - u[3] = u3; - Dlength = fast_expansion_sum_zeroelim(C2length, C2, 4, u, D); - - return(D[Dlength - 1]); -} - -REAL orient2d(pa, pb, pc) -REAL *pa; -REAL *pb; -REAL *pc; -{ - REAL detleft, detright, det; - REAL detsum, errbound; - - detleft = (pa[0] - pc[0]) * (pb[1] - pc[1]); - detright = (pa[1] - pc[1]) * (pb[0] - pc[0]); - det = detleft - detright; - - if (detleft > 0.0) { - if (detright <= 0.0) { - return det; - } else { - detsum = detleft + detright; + det = estimate(finlength, fin1); + errbound = iccerrboundB * permanent; + if ((det >= errbound) || (-det >= errbound)) + { + return det; } - } else if (detleft < 0.0) { - if (detright >= 0.0) { - return det; - } else { - detsum = -detleft - detright; + + Two_Diff_Tail(pa[0], pd[0], adx, adxtail); + Two_Diff_Tail(pa[1], pd[1], ady, adytail); + Two_Diff_Tail(pb[0], pd[0], bdx, bdxtail); + Two_Diff_Tail(pb[1], pd[1], bdy, bdytail); + Two_Diff_Tail(pc[0], pd[0], cdx, cdxtail); + Two_Diff_Tail(pc[1], pd[1], cdy, cdytail); + if ((adxtail == 0.0) && (bdxtail == 0.0) && (cdxtail == 0.0) + && (adytail == 0.0) && (bdytail == 0.0) && (cdytail == 0.0)) + { + return det; } - } else { - return det; - } - errbound = ccwerrboundA * detsum; - if ((det >= errbound) || (-det >= errbound)) { - return det; - } - - return orient2dadapt(pa, pb, pc, detsum); -} - -/*****************************************************************************/ -/* */ -/* orient3dfast() Approximate 3D orientation test. Nonrobust. */ -/* orient3dexact() Exact 3D orientation test. Robust. */ -/* orient3dslow() Another exact 3D orientation test. Robust. */ -/* orient3d() Adaptive exact 3D orientation test. Robust. */ -/* */ -/* Return a positive value if the point pd lies below the */ -/* plane passing through pa, pb, and pc; "below" is defined so */ -/* that pa, pb, and pc appear in counterclockwise order when */ -/* viewed from above the plane. Returns a negative value if */ -/* pd lies above the plane. Returns zero if the points are */ -/* coplanar. The result is also a rough approximation of six */ -/* times the signed volume of the tetrahedron defined by the */ -/* four points. */ -/* */ -/* Only the first and last routine should be used; the middle two are for */ -/* timings. */ -/* */ -/* The last three use exact arithmetic to ensure a correct answer. The */ -/* result returned is the determinant of a matrix. In orient3d() only, */ -/* this determinant is computed adaptively, in the sense that exact */ -/* arithmetic is used only to the degree it is needed to ensure that the */ -/* returned value has the correct sign. Hence, orient3d() is usually quite */ -/* fast, but will run more slowly when the input points are coplanar or */ -/* nearly so. */ -/* */ -/*****************************************************************************/ - -REAL orient3dfast(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -{ - REAL adx, bdx, cdx; - REAL ady, bdy, cdy; - REAL adz, bdz, cdz; - - adx = pa[0] - pd[0]; - bdx = pb[0] - pd[0]; - cdx = pc[0] - pd[0]; - ady = pa[1] - pd[1]; - bdy = pb[1] - pd[1]; - cdy = pc[1] - pd[1]; - adz = pa[2] - pd[2]; - bdz = pb[2] - pd[2]; - cdz = pc[2] - pd[2]; - - return adx * (bdy * cdz - bdz * cdy) - + bdx * (cdy * adz - cdz * ady) - + cdx * (ady * bdz - adz * bdy); -} - -REAL orient3dexact(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -{ - INEXACT REAL axby1, bxcy1, cxdy1, dxay1, axcy1, bxdy1; - INEXACT REAL bxay1, cxby1, dxcy1, axdy1, cxay1, dxby1; - REAL axby0, bxcy0, cxdy0, dxay0, axcy0, bxdy0; - REAL bxay0, cxby0, dxcy0, axdy0, cxay0, dxby0; - REAL ab[4], bc[4], cd[4], da[4], ac[4], bd[4]; - REAL temp8[8]; - int templen; - REAL abc[12], bcd[12], cda[12], dab[12]; - int abclen, bcdlen, cdalen, dablen; - REAL adet[24], bdet[24], cdet[24], ddet[24]; - int alen, blen, clen, dlen; - REAL abdet[48], cddet[48]; - int ablen, cdlen; - REAL deter[96]; - int deterlen; - int i; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - Two_Product(pa[0], pb[1], axby1, axby0); - Two_Product(pb[0], pa[1], bxay1, bxay0); - Two_Two_Diff(axby1, axby0, bxay1, bxay0, ab[3], ab[2], ab[1], ab[0]); - - Two_Product(pb[0], pc[1], bxcy1, bxcy0); - Two_Product(pc[0], pb[1], cxby1, cxby0); - Two_Two_Diff(bxcy1, bxcy0, cxby1, cxby0, bc[3], bc[2], bc[1], bc[0]); - - Two_Product(pc[0], pd[1], cxdy1, cxdy0); - Two_Product(pd[0], pc[1], dxcy1, dxcy0); - Two_Two_Diff(cxdy1, cxdy0, dxcy1, dxcy0, cd[3], cd[2], cd[1], cd[0]); - - Two_Product(pd[0], pa[1], dxay1, dxay0); - Two_Product(pa[0], pd[1], axdy1, axdy0); - Two_Two_Diff(dxay1, dxay0, axdy1, axdy0, da[3], da[2], da[1], da[0]); - - Two_Product(pa[0], pc[1], axcy1, axcy0); - Two_Product(pc[0], pa[1], cxay1, cxay0); - Two_Two_Diff(axcy1, axcy0, cxay1, cxay0, ac[3], ac[2], ac[1], ac[0]); - - Two_Product(pb[0], pd[1], bxdy1, bxdy0); - Two_Product(pd[0], pb[1], dxby1, dxby0); - Two_Two_Diff(bxdy1, bxdy0, dxby1, dxby0, bd[3], bd[2], bd[1], bd[0]); - - templen = fast_expansion_sum_zeroelim(4, cd, 4, da, temp8); - cdalen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, cda); - templen = fast_expansion_sum_zeroelim(4, da, 4, ab, temp8); - dablen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, dab); - for (i = 0; i < 4; i++) { - bd[i] = -bd[i]; - ac[i] = -ac[i]; - } - templen = fast_expansion_sum_zeroelim(4, ab, 4, bc, temp8); - abclen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, abc); - templen = fast_expansion_sum_zeroelim(4, bc, 4, cd, temp8); - bcdlen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, bcd); - - alen = scale_expansion_zeroelim(bcdlen, bcd, pa[2], adet); - blen = scale_expansion_zeroelim(cdalen, cda, -pb[2], bdet); - clen = scale_expansion_zeroelim(dablen, dab, pc[2], cdet); - dlen = scale_expansion_zeroelim(abclen, abc, -pd[2], ddet); - - ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); - cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); - deterlen = fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, deter); - - return deter[deterlen - 1]; -} - -REAL orient3dslow(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -{ - INEXACT REAL adx, ady, adz, bdx, bdy, bdz, cdx, cdy, cdz; - REAL adxtail, adytail, adztail; - REAL bdxtail, bdytail, bdztail; - REAL cdxtail, cdytail, cdztail; - REAL negate, negatetail; - INEXACT REAL axby7, bxcy7, axcy7, bxay7, cxby7, cxay7; - REAL axby[8], bxcy[8], axcy[8], bxay[8], cxby[8], cxay[8]; - REAL temp16[16], temp32[32], temp32t[32]; - int temp16len, temp32len, temp32tlen; - REAL adet[64], bdet[64], cdet[64]; - int alen, blen, clen; - REAL abdet[128]; - int ablen; - REAL deter[192]; - int deterlen; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j, _k, _l, _m, _n; - REAL _0, _1, _2; - - Two_Diff(pa[0], pd[0], adx, adxtail); - Two_Diff(pa[1], pd[1], ady, adytail); - Two_Diff(pa[2], pd[2], adz, adztail); - Two_Diff(pb[0], pd[0], bdx, bdxtail); - Two_Diff(pb[1], pd[1], bdy, bdytail); - Two_Diff(pb[2], pd[2], bdz, bdztail); - Two_Diff(pc[0], pd[0], cdx, cdxtail); - Two_Diff(pc[1], pd[1], cdy, cdytail); - Two_Diff(pc[2], pd[2], cdz, cdztail); - - Two_Two_Product(adx, adxtail, bdy, bdytail, - axby7, axby[6], axby[5], axby[4], - axby[3], axby[2], axby[1], axby[0]); - axby[7] = axby7; - negate = -ady; - negatetail = -adytail; - Two_Two_Product(bdx, bdxtail, negate, negatetail, - bxay7, bxay[6], bxay[5], bxay[4], - bxay[3], bxay[2], bxay[1], bxay[0]); - bxay[7] = bxay7; - Two_Two_Product(bdx, bdxtail, cdy, cdytail, - bxcy7, bxcy[6], bxcy[5], bxcy[4], - bxcy[3], bxcy[2], bxcy[1], bxcy[0]); - bxcy[7] = bxcy7; - negate = -bdy; - negatetail = -bdytail; - Two_Two_Product(cdx, cdxtail, negate, negatetail, - cxby7, cxby[6], cxby[5], cxby[4], - cxby[3], cxby[2], cxby[1], cxby[0]); - cxby[7] = cxby7; - Two_Two_Product(cdx, cdxtail, ady, adytail, - cxay7, cxay[6], cxay[5], cxay[4], - cxay[3], cxay[2], cxay[1], cxay[0]); - cxay[7] = cxay7; - negate = -cdy; - negatetail = -cdytail; - Two_Two_Product(adx, adxtail, negate, negatetail, - axcy7, axcy[6], axcy[5], axcy[4], - axcy[3], axcy[2], axcy[1], axcy[0]); - axcy[7] = axcy7; - - temp16len = fast_expansion_sum_zeroelim(8, bxcy, 8, cxby, temp16); - temp32len = scale_expansion_zeroelim(temp16len, temp16, adz, temp32); - temp32tlen = scale_expansion_zeroelim(temp16len, temp16, adztail, temp32t); - alen = fast_expansion_sum_zeroelim(temp32len, temp32, temp32tlen, temp32t, - adet); - - temp16len = fast_expansion_sum_zeroelim(8, cxay, 8, axcy, temp16); - temp32len = scale_expansion_zeroelim(temp16len, temp16, bdz, temp32); - temp32tlen = scale_expansion_zeroelim(temp16len, temp16, bdztail, temp32t); - blen = fast_expansion_sum_zeroelim(temp32len, temp32, temp32tlen, temp32t, - bdet); - - temp16len = fast_expansion_sum_zeroelim(8, axby, 8, bxay, temp16); - temp32len = scale_expansion_zeroelim(temp16len, temp16, cdz, temp32); - temp32tlen = scale_expansion_zeroelim(temp16len, temp16, cdztail, temp32t); - clen = fast_expansion_sum_zeroelim(temp32len, temp32, temp32tlen, temp32t, - cdet); - - ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); - deterlen = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, deter); - - return deter[deterlen - 1]; -} - -REAL orient3dadapt(pa, pb, pc, pd, permanent) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -REAL permanent; -{ - INEXACT REAL adx, bdx, cdx, ady, bdy, cdy, adz, bdz, cdz; - REAL det, errbound; - - INEXACT REAL bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; - REAL bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; - REAL bc[4], ca[4], ab[4]; - INEXACT REAL bc3, ca3, ab3; - REAL adet[8], bdet[8], cdet[8]; - int alen, blen, clen; - REAL abdet[16]; - int ablen; - REAL *finnow, *finother, *finswap; - REAL fin1[192], fin2[192]; - int finlength; - - REAL adxtail, bdxtail, cdxtail; - REAL adytail, bdytail, cdytail; - REAL adztail, bdztail, cdztail; - INEXACT REAL at_blarge, at_clarge; - INEXACT REAL bt_clarge, bt_alarge; - INEXACT REAL ct_alarge, ct_blarge; - REAL at_b[4], at_c[4], bt_c[4], bt_a[4], ct_a[4], ct_b[4]; - int at_blen, at_clen, bt_clen, bt_alen, ct_alen, ct_blen; - INEXACT REAL bdxt_cdy1, cdxt_bdy1, cdxt_ady1; - INEXACT REAL adxt_cdy1, adxt_bdy1, bdxt_ady1; - REAL bdxt_cdy0, cdxt_bdy0, cdxt_ady0; - REAL adxt_cdy0, adxt_bdy0, bdxt_ady0; - INEXACT REAL bdyt_cdx1, cdyt_bdx1, cdyt_adx1; - INEXACT REAL adyt_cdx1, adyt_bdx1, bdyt_adx1; - REAL bdyt_cdx0, cdyt_bdx0, cdyt_adx0; - REAL adyt_cdx0, adyt_bdx0, bdyt_adx0; - REAL bct[8], cat[8], abt[8]; - int bctlen, catlen, abtlen; - INEXACT REAL bdxt_cdyt1, cdxt_bdyt1, cdxt_adyt1; - INEXACT REAL adxt_cdyt1, adxt_bdyt1, bdxt_adyt1; - REAL bdxt_cdyt0, cdxt_bdyt0, cdxt_adyt0; - REAL adxt_cdyt0, adxt_bdyt0, bdxt_adyt0; - REAL u[4], v[12], w[16]; - INEXACT REAL u3; - int vlength, wlength; - REAL negate; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j, _k; - REAL _0; - - adx = (REAL) (pa[0] - pd[0]); - bdx = (REAL) (pb[0] - pd[0]); - cdx = (REAL) (pc[0] - pd[0]); - ady = (REAL) (pa[1] - pd[1]); - bdy = (REAL) (pb[1] - pd[1]); - cdy = (REAL) (pc[1] - pd[1]); - adz = (REAL) (pa[2] - pd[2]); - bdz = (REAL) (pb[2] - pd[2]); - cdz = (REAL) (pc[2] - pd[2]); - - Two_Product(bdx, cdy, bdxcdy1, bdxcdy0); - Two_Product(cdx, bdy, cdxbdy1, cdxbdy0); - Two_Two_Diff(bdxcdy1, bdxcdy0, cdxbdy1, cdxbdy0, bc3, bc[2], bc[1], bc[0]); - bc[3] = bc3; - alen = scale_expansion_zeroelim(4, bc, adz, adet); - - Two_Product(cdx, ady, cdxady1, cdxady0); - Two_Product(adx, cdy, adxcdy1, adxcdy0); - Two_Two_Diff(cdxady1, cdxady0, adxcdy1, adxcdy0, ca3, ca[2], ca[1], ca[0]); - ca[3] = ca3; - blen = scale_expansion_zeroelim(4, ca, bdz, bdet); - - Two_Product(adx, bdy, adxbdy1, adxbdy0); - Two_Product(bdx, ady, bdxady1, bdxady0); - Two_Two_Diff(adxbdy1, adxbdy0, bdxady1, bdxady0, ab3, ab[2], ab[1], ab[0]); - 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; - } - - Two_Diff_Tail(pa[0], pd[0], adx, adxtail); - Two_Diff_Tail(pb[0], pd[0], bdx, bdxtail); - Two_Diff_Tail(pc[0], pd[0], cdx, cdxtail); - Two_Diff_Tail(pa[1], pd[1], ady, adytail); - Two_Diff_Tail(pb[1], pd[1], bdy, bdytail); - Two_Diff_Tail(pc[1], pd[1], cdy, cdytail); - Two_Diff_Tail(pa[2], pd[2], adz, adztail); - Two_Diff_Tail(pb[2], pd[2], bdz, bdztail); - Two_Diff_Tail(pc[2], pd[2], cdz, cdztail); - - 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 * Absolute(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; - Two_Product(negate, bdx, at_blarge, at_b[0]); - at_b[1] = at_blarge; - at_blen = 2; - Two_Product(adytail, cdx, at_clarge, at_c[0]); - at_c[1] = at_clarge; - at_clen = 2; - } - } else { - if (adytail == 0.0) { - Two_Product(adxtail, bdy, at_blarge, at_b[0]); - at_b[1] = at_blarge; - at_blen = 2; - negate = -adxtail; - Two_Product(negate, cdy, at_clarge, at_c[0]); - at_c[1] = at_clarge; - at_clen = 2; - } else { - Two_Product(adxtail, bdy, adxt_bdy1, adxt_bdy0); - Two_Product(adytail, bdx, adyt_bdx1, adyt_bdx0); - Two_Two_Diff(adxt_bdy1, adxt_bdy0, adyt_bdx1, adyt_bdx0, - at_blarge, at_b[2], at_b[1], at_b[0]); - at_b[3] = at_blarge; - at_blen = 4; - Two_Product(adytail, cdx, adyt_cdx1, adyt_cdx0); - Two_Product(adxtail, cdy, adxt_cdy1, adxt_cdy0); - Two_Two_Diff(adyt_cdx1, adyt_cdx0, adxt_cdy1, adxt_cdy0, - at_clarge, at_c[2], at_c[1], at_c[0]); - 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; - Two_Product(negate, cdx, bt_clarge, bt_c[0]); - bt_c[1] = bt_clarge; - bt_clen = 2; - Two_Product(bdytail, adx, bt_alarge, bt_a[0]); - bt_a[1] = bt_alarge; - bt_alen = 2; - } - } else { - if (bdytail == 0.0) { - Two_Product(bdxtail, cdy, bt_clarge, bt_c[0]); - bt_c[1] = bt_clarge; - bt_clen = 2; - negate = -bdxtail; - Two_Product(negate, ady, bt_alarge, bt_a[0]); - bt_a[1] = bt_alarge; - bt_alen = 2; - } else { - Two_Product(bdxtail, cdy, bdxt_cdy1, bdxt_cdy0); - Two_Product(bdytail, cdx, bdyt_cdx1, bdyt_cdx0); - Two_Two_Diff(bdxt_cdy1, bdxt_cdy0, bdyt_cdx1, bdyt_cdx0, - bt_clarge, bt_c[2], bt_c[1], bt_c[0]); - bt_c[3] = bt_clarge; - bt_clen = 4; - Two_Product(bdytail, adx, bdyt_adx1, bdyt_adx0); - Two_Product(bdxtail, ady, bdxt_ady1, bdxt_ady0); - Two_Two_Diff(bdyt_adx1, bdyt_adx0, bdxt_ady1, bdxt_ady0, - bt_alarge, bt_a[2], bt_a[1], bt_a[0]); - 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; - Two_Product(negate, adx, ct_alarge, ct_a[0]); - ct_a[1] = ct_alarge; - ct_alen = 2; - Two_Product(cdytail, bdx, ct_blarge, ct_b[0]); - ct_b[1] = ct_blarge; - ct_blen = 2; - } - } else { - if (cdytail == 0.0) { - Two_Product(cdxtail, ady, ct_alarge, ct_a[0]); - ct_a[1] = ct_alarge; - ct_alen = 2; - negate = -cdxtail; - Two_Product(negate, bdy, ct_blarge, ct_b[0]); - ct_b[1] = ct_blarge; - ct_blen = 2; - } else { - Two_Product(cdxtail, ady, cdxt_ady1, cdxt_ady0); - Two_Product(cdytail, adx, cdyt_adx1, cdyt_adx0); - Two_Two_Diff(cdxt_ady1, cdxt_ady0, cdyt_adx1, cdyt_adx0, - ct_alarge, ct_a[2], ct_a[1], ct_a[0]); - ct_a[3] = ct_alarge; - ct_alen = 4; - Two_Product(cdytail, bdx, cdyt_bdx1, cdyt_bdx0); - Two_Product(cdxtail, bdy, cdxt_bdy1, cdxt_bdy0); - Two_Two_Diff(cdyt_bdx1, cdyt_bdx0, cdxt_bdy1, cdxt_bdy0, - ct_blarge, ct_b[2], ct_b[1], ct_b[0]); - 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) { - Two_Product(adxtail, bdytail, adxt_bdyt1, adxt_bdyt0); - Two_One_Product(adxt_bdyt1, adxt_bdyt0, cdz, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (cdztail != 0.0) { - Two_One_Product(adxt_bdyt1, adxt_bdyt0, cdztail, u3, u[2], u[1], u[0]); - 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; - Two_Product(negate, cdytail, adxt_cdyt1, adxt_cdyt0); - Two_One_Product(adxt_cdyt1, adxt_cdyt0, bdz, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (bdztail != 0.0) { - Two_One_Product(adxt_cdyt1, adxt_cdyt0, bdztail, u3, u[2], u[1], u[0]); - 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) { - Two_Product(bdxtail, cdytail, bdxt_cdyt1, bdxt_cdyt0); - Two_One_Product(bdxt_cdyt1, bdxt_cdyt0, adz, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (adztail != 0.0) { - Two_One_Product(bdxt_cdyt1, bdxt_cdyt0, adztail, u3, u[2], u[1], u[0]); - 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; - Two_Product(negate, adytail, bdxt_adyt1, bdxt_adyt0); - Two_One_Product(bdxt_adyt1, bdxt_adyt0, cdz, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (cdztail != 0.0) { - Two_One_Product(bdxt_adyt1, bdxt_adyt0, cdztail, u3, u[2], u[1], u[0]); - 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) { - Two_Product(cdxtail, adytail, cdxt_adyt1, cdxt_adyt0); - Two_One_Product(cdxt_adyt1, cdxt_adyt0, bdz, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (bdztail != 0.0) { - Two_One_Product(cdxt_adyt1, cdxt_adyt0, bdztail, u3, u[2], u[1], u[0]); - 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; - Two_Product(negate, bdytail, cdxt_bdyt1, cdxt_bdyt0); - Two_One_Product(cdxt_bdyt1, cdxt_bdyt0, adz, u3, u[2], u[1], u[0]); - u[3] = u3; - finlength = fast_expansion_sum_zeroelim(finlength, finnow, 4, u, - finother); - finswap = finnow; finnow = finother; finother = finswap; - if (adztail != 0.0) { - Two_One_Product(cdxt_bdyt1, cdxt_bdyt0, adztail, u3, u[2], u[1], u[0]); - 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]; -} - -REAL orient3d(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -{ - REAL adx, bdx, cdx, ady, bdy, cdy, adz, bdz, cdz; - REAL bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; - REAL det; - REAL permanent, errbound; - - adx = pa[0] - pd[0]; - bdx = pb[0] - pd[0]; - cdx = pc[0] - pd[0]; - ady = pa[1] - pd[1]; - bdy = pb[1] - pd[1]; - cdy = pc[1] - pd[1]; - adz = pa[2] - pd[2]; - bdz = pb[2] - pd[2]; - cdz = pc[2] - pd[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 = (Absolute(bdxcdy) + Absolute(cdxbdy)) * Absolute(adz) - + (Absolute(cdxady) + Absolute(adxcdy)) * Absolute(bdz) - + (Absolute(adxbdy) + Absolute(bdxady)) * Absolute(cdz); - errbound = o3derrboundA * permanent; - if ((det > errbound) || (-det > errbound)) { - return det; - } - - return orient3dadapt(pa, pb, pc, pd, permanent); -} - -/*****************************************************************************/ -/* */ -/* incirclefast() Approximate 2D incircle test. Nonrobust. */ -/* incircleexact() Exact 2D incircle test. Robust. */ -/* incircleslow() Another exact 2D incircle test. Robust. */ -/* incircle() Adaptive exact 2D incircle test. Robust. */ -/* */ -/* Return a positive value if the point pd lies inside the */ -/* circle passing through pa, pb, and pc; a negative value if */ -/* it lies outside; and zero if the four points are cocircular.*/ -/* The points pa, pb, and pc must be in counterclockwise */ -/* order, or the sign of the result will be reversed. */ -/* */ -/* Only the first and last routine should be used; the middle two are for */ -/* timings. */ -/* */ -/* The last three use exact arithmetic to ensure a correct answer. The */ -/* result returned is the determinant of a matrix. In incircle() only, */ -/* this determinant is computed adaptively, in the sense that exact */ -/* arithmetic is used only to the degree it is needed to ensure that the */ -/* returned value has the correct sign. Hence, incircle() is usually quite */ -/* fast, but will run more slowly when the input points are cocircular or */ -/* nearly so. */ -/* */ -/*****************************************************************************/ - -REAL incirclefast(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -{ - REAL adx, ady, bdx, bdy, cdx, cdy; - REAL abdet, bcdet, cadet; - REAL alift, blift, clift; - - adx = pa[0] - pd[0]; - ady = pa[1] - pd[1]; - bdx = pb[0] - pd[0]; - bdy = pb[1] - pd[1]; - cdx = pc[0] - pd[0]; - cdy = pc[1] - pd[1]; - - abdet = adx * bdy - bdx * ady; - bcdet = bdx * cdy - cdx * bdy; - cadet = cdx * ady - adx * cdy; - alift = adx * adx + ady * ady; - blift = bdx * bdx + bdy * bdy; - clift = cdx * cdx + cdy * cdy; - - return alift * bcdet + blift * cadet + clift * abdet; -} - -REAL incircleexact(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -{ - INEXACT REAL axby1, bxcy1, cxdy1, dxay1, axcy1, bxdy1; - INEXACT REAL bxay1, cxby1, dxcy1, axdy1, cxay1, dxby1; - REAL axby0, bxcy0, cxdy0, dxay0, axcy0, bxdy0; - REAL bxay0, cxby0, dxcy0, axdy0, cxay0, dxby0; - REAL ab[4], bc[4], cd[4], da[4], ac[4], bd[4]; - REAL temp8[8]; - int templen; - REAL abc[12], bcd[12], cda[12], dab[12]; - int abclen, bcdlen, cdalen, dablen; - REAL det24x[24], det24y[24], det48x[48], det48y[48]; - int xlen, ylen; - REAL adet[96], bdet[96], cdet[96], ddet[96]; - int alen, blen, clen, dlen; - REAL abdet[192], cddet[192]; - int ablen, cdlen; - REAL deter[384]; - int deterlen; - int i; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - Two_Product(pa[0], pb[1], axby1, axby0); - Two_Product(pb[0], pa[1], bxay1, bxay0); - Two_Two_Diff(axby1, axby0, bxay1, bxay0, ab[3], ab[2], ab[1], ab[0]); - - Two_Product(pb[0], pc[1], bxcy1, bxcy0); - Two_Product(pc[0], pb[1], cxby1, cxby0); - Two_Two_Diff(bxcy1, bxcy0, cxby1, cxby0, bc[3], bc[2], bc[1], bc[0]); - - Two_Product(pc[0], pd[1], cxdy1, cxdy0); - Two_Product(pd[0], pc[1], dxcy1, dxcy0); - Two_Two_Diff(cxdy1, cxdy0, dxcy1, dxcy0, cd[3], cd[2], cd[1], cd[0]); - - Two_Product(pd[0], pa[1], dxay1, dxay0); - Two_Product(pa[0], pd[1], axdy1, axdy0); - Two_Two_Diff(dxay1, dxay0, axdy1, axdy0, da[3], da[2], da[1], da[0]); - - Two_Product(pa[0], pc[1], axcy1, axcy0); - Two_Product(pc[0], pa[1], cxay1, cxay0); - Two_Two_Diff(axcy1, axcy0, cxay1, cxay0, ac[3], ac[2], ac[1], ac[0]); - - Two_Product(pb[0], pd[1], bxdy1, bxdy0); - Two_Product(pd[0], pb[1], dxby1, dxby0); - Two_Two_Diff(bxdy1, bxdy0, dxby1, dxby0, bd[3], bd[2], bd[1], bd[0]); - - templen = fast_expansion_sum_zeroelim(4, cd, 4, da, temp8); - cdalen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, cda); - templen = fast_expansion_sum_zeroelim(4, da, 4, ab, temp8); - dablen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, dab); - for (i = 0; i < 4; i++) { - bd[i] = -bd[i]; - ac[i] = -ac[i]; - } - templen = fast_expansion_sum_zeroelim(4, ab, 4, bc, temp8); - abclen = fast_expansion_sum_zeroelim(templen, temp8, 4, ac, abc); - templen = fast_expansion_sum_zeroelim(4, bc, 4, cd, temp8); - bcdlen = fast_expansion_sum_zeroelim(templen, temp8, 4, bd, bcd); - - xlen = scale_expansion_zeroelim(bcdlen, bcd, pa[0], det24x); - xlen = scale_expansion_zeroelim(xlen, det24x, pa[0], det48x); - ylen = scale_expansion_zeroelim(bcdlen, bcd, pa[1], det24y); - ylen = scale_expansion_zeroelim(ylen, det24y, pa[1], det48y); - alen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, adet); - - xlen = scale_expansion_zeroelim(cdalen, cda, pb[0], det24x); - xlen = scale_expansion_zeroelim(xlen, det24x, -pb[0], det48x); - ylen = scale_expansion_zeroelim(cdalen, cda, pb[1], det24y); - ylen = scale_expansion_zeroelim(ylen, det24y, -pb[1], det48y); - blen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, bdet); - - xlen = scale_expansion_zeroelim(dablen, dab, pc[0], det24x); - xlen = scale_expansion_zeroelim(xlen, det24x, pc[0], det48x); - ylen = scale_expansion_zeroelim(dablen, dab, pc[1], det24y); - ylen = scale_expansion_zeroelim(ylen, det24y, pc[1], det48y); - clen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, cdet); - - xlen = scale_expansion_zeroelim(abclen, abc, pd[0], det24x); - xlen = scale_expansion_zeroelim(xlen, det24x, -pd[0], det48x); - ylen = scale_expansion_zeroelim(abclen, abc, pd[1], det24y); - ylen = scale_expansion_zeroelim(ylen, det24y, -pd[1], det48y); - dlen = fast_expansion_sum_zeroelim(xlen, det48x, ylen, det48y, ddet); - - ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); - cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); - deterlen = fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, deter); - - return deter[deterlen - 1]; -} - -REAL incircleslow(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -{ - INEXACT REAL adx, bdx, cdx, ady, bdy, cdy; - REAL adxtail, bdxtail, cdxtail; - REAL adytail, bdytail, cdytail; - REAL negate, negatetail; - INEXACT REAL axby7, bxcy7, axcy7, bxay7, cxby7, cxay7; - REAL axby[8], bxcy[8], axcy[8], bxay[8], cxby[8], cxay[8]; - REAL temp16[16]; - int temp16len; - REAL detx[32], detxx[64], detxt[32], detxxt[64], detxtxt[64]; - int xlen, xxlen, xtlen, xxtlen, xtxtlen; - REAL x1[128], x2[192]; - int x1len, x2len; - REAL dety[32], detyy[64], detyt[32], detyyt[64], detytyt[64]; - int ylen, yylen, ytlen, yytlen, ytytlen; - REAL y1[128], y2[192]; - int y1len, y2len; - REAL adet[384], bdet[384], cdet[384], abdet[768], deter[1152]; - int alen, blen, clen, ablen, deterlen; - int i; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j, _k, _l, _m, _n; - REAL _0, _1, _2; - - Two_Diff(pa[0], pd[0], adx, adxtail); - Two_Diff(pa[1], pd[1], ady, adytail); - Two_Diff(pb[0], pd[0], bdx, bdxtail); - Two_Diff(pb[1], pd[1], bdy, bdytail); - Two_Diff(pc[0], pd[0], cdx, cdxtail); - Two_Diff(pc[1], pd[1], cdy, cdytail); - - Two_Two_Product(adx, adxtail, bdy, bdytail, - axby7, axby[6], axby[5], axby[4], - axby[3], axby[2], axby[1], axby[0]); - axby[7] = axby7; - negate = -ady; - negatetail = -adytail; - Two_Two_Product(bdx, bdxtail, negate, negatetail, - bxay7, bxay[6], bxay[5], bxay[4], - bxay[3], bxay[2], bxay[1], bxay[0]); - bxay[7] = bxay7; - Two_Two_Product(bdx, bdxtail, cdy, cdytail, - bxcy7, bxcy[6], bxcy[5], bxcy[4], - bxcy[3], bxcy[2], bxcy[1], bxcy[0]); - bxcy[7] = bxcy7; - negate = -bdy; - negatetail = -bdytail; - Two_Two_Product(cdx, cdxtail, negate, negatetail, - cxby7, cxby[6], cxby[5], cxby[4], - cxby[3], cxby[2], cxby[1], cxby[0]); - cxby[7] = cxby7; - Two_Two_Product(cdx, cdxtail, ady, adytail, - cxay7, cxay[6], cxay[5], cxay[4], - cxay[3], cxay[2], cxay[1], cxay[0]); - cxay[7] = cxay7; - negate = -cdy; - negatetail = -cdytail; - Two_Two_Product(adx, adxtail, negate, negatetail, - axcy7, axcy[6], axcy[5], axcy[4], - axcy[3], axcy[2], axcy[1], axcy[0]); - axcy[7] = axcy7; - - - temp16len = fast_expansion_sum_zeroelim(8, bxcy, 8, cxby, temp16); - - xlen = scale_expansion_zeroelim(temp16len, temp16, adx, detx); - xxlen = scale_expansion_zeroelim(xlen, detx, adx, detxx); - xtlen = scale_expansion_zeroelim(temp16len, temp16, adxtail, detxt); - xxtlen = scale_expansion_zeroelim(xtlen, detxt, adx, detxxt); - for (i = 0; i < xxtlen; i++) { - detxxt[i] *= 2.0; - } - xtxtlen = scale_expansion_zeroelim(xtlen, detxt, adxtail, detxtxt); - x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); - x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); - - ylen = scale_expansion_zeroelim(temp16len, temp16, ady, dety); - yylen = scale_expansion_zeroelim(ylen, dety, ady, detyy); - ytlen = scale_expansion_zeroelim(temp16len, temp16, adytail, detyt); - yytlen = scale_expansion_zeroelim(ytlen, detyt, ady, detyyt); - for (i = 0; i < yytlen; i++) { - detyyt[i] *= 2.0; - } - ytytlen = scale_expansion_zeroelim(ytlen, detyt, adytail, detytyt); - y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); - y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); - - alen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, adet); - - - temp16len = fast_expansion_sum_zeroelim(8, cxay, 8, axcy, temp16); - - xlen = scale_expansion_zeroelim(temp16len, temp16, bdx, detx); - xxlen = scale_expansion_zeroelim(xlen, detx, bdx, detxx); - xtlen = scale_expansion_zeroelim(temp16len, temp16, bdxtail, detxt); - xxtlen = scale_expansion_zeroelim(xtlen, detxt, bdx, detxxt); - for (i = 0; i < xxtlen; i++) { - detxxt[i] *= 2.0; - } - xtxtlen = scale_expansion_zeroelim(xtlen, detxt, bdxtail, detxtxt); - x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); - x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); - - ylen = scale_expansion_zeroelim(temp16len, temp16, bdy, dety); - yylen = scale_expansion_zeroelim(ylen, dety, bdy, detyy); - ytlen = scale_expansion_zeroelim(temp16len, temp16, bdytail, detyt); - yytlen = scale_expansion_zeroelim(ytlen, detyt, bdy, detyyt); - for (i = 0; i < yytlen; i++) { - detyyt[i] *= 2.0; - } - ytytlen = scale_expansion_zeroelim(ytlen, detyt, bdytail, detytyt); - y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); - y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); - - blen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, bdet); - - - temp16len = fast_expansion_sum_zeroelim(8, axby, 8, bxay, temp16); - - xlen = scale_expansion_zeroelim(temp16len, temp16, cdx, detx); - xxlen = scale_expansion_zeroelim(xlen, detx, cdx, detxx); - xtlen = scale_expansion_zeroelim(temp16len, temp16, cdxtail, detxt); - xxtlen = scale_expansion_zeroelim(xtlen, detxt, cdx, detxxt); - for (i = 0; i < xxtlen; i++) { - detxxt[i] *= 2.0; - } - xtxtlen = scale_expansion_zeroelim(xtlen, detxt, cdxtail, detxtxt); - x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); - x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); - - ylen = scale_expansion_zeroelim(temp16len, temp16, cdy, dety); - yylen = scale_expansion_zeroelim(ylen, dety, cdy, detyy); - ytlen = scale_expansion_zeroelim(temp16len, temp16, cdytail, detyt); - yytlen = scale_expansion_zeroelim(ytlen, detyt, cdy, detyyt); - for (i = 0; i < yytlen; i++) { - detyyt[i] *= 2.0; - } - ytytlen = scale_expansion_zeroelim(ytlen, detyt, cdytail, detytyt); - y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); - y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); - - clen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, cdet); - - ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); - deterlen = fast_expansion_sum_zeroelim(ablen, abdet, clen, cdet, deter); - - return deter[deterlen - 1]; -} - -REAL incircleadapt(pa, pb, pc, pd, permanent) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -REAL permanent; -{ - INEXACT REAL adx, bdx, cdx, ady, bdy, cdy; - REAL det, errbound; - - INEXACT REAL bdxcdy1, cdxbdy1, cdxady1, adxcdy1, adxbdy1, bdxady1; - REAL bdxcdy0, cdxbdy0, cdxady0, adxcdy0, adxbdy0, bdxady0; - REAL bc[4], ca[4], ab[4]; - INEXACT REAL bc3, ca3, ab3; - REAL axbc[8], axxbc[16], aybc[8], ayybc[16], adet[32]; - int axbclen, axxbclen, aybclen, ayybclen, alen; - REAL bxca[8], bxxca[16], byca[8], byyca[16], bdet[32]; - int bxcalen, bxxcalen, bycalen, byycalen, blen; - REAL cxab[8], cxxab[16], cyab[8], cyyab[16], cdet[32]; - int cxablen, cxxablen, cyablen, cyyablen, clen; - REAL abdet[64]; - int ablen; - REAL fin1[1152], fin2[1152]; - REAL *finnow, *finother, *finswap; - int finlength; - - REAL adxtail, bdxtail, cdxtail, adytail, bdytail, cdytail; - INEXACT REAL adxadx1, adyady1, bdxbdx1, bdybdy1, cdxcdx1, cdycdy1; - REAL adxadx0, adyady0, bdxbdx0, bdybdy0, cdxcdx0, cdycdy0; - REAL aa[4], bb[4], cc[4]; - INEXACT REAL aa3, bb3, cc3; - INEXACT REAL ti1, tj1; - REAL ti0, tj0; - REAL u[4], v[4]; - INEXACT REAL u3, v3; - REAL temp8[8], temp16a[16], temp16b[16], temp16c[16]; - REAL temp32a[32], temp32b[32], temp48[48], temp64[64]; - int temp8len, temp16alen, temp16blen, temp16clen; - int temp32alen, temp32blen, temp48len, temp64len; - REAL axtbb[8], axtcc[8], aytbb[8], aytcc[8]; - int axtbblen, axtcclen, aytbblen, aytcclen; - REAL bxtaa[8], bxtcc[8], bytaa[8], bytcc[8]; - int bxtaalen, bxtcclen, bytaalen, bytcclen; - REAL cxtaa[8], cxtbb[8], cytaa[8], cytbb[8]; - int cxtaalen, cxtbblen, cytaalen, cytbblen; - REAL axtbc[8], aytbc[8], bxtca[8], bytca[8], cxtab[8], cytab[8]; - int axtbclen, aytbclen, bxtcalen, bytcalen, cxtablen, cytablen; - REAL axtbct[16], aytbct[16], bxtcat[16], bytcat[16], cxtabt[16], cytabt[16]; - int axtbctlen, aytbctlen, bxtcatlen, bytcatlen, cxtabtlen, cytabtlen; - REAL axtbctt[8], aytbctt[8], bxtcatt[8]; - REAL bytcatt[8], cxtabtt[8], cytabtt[8]; - int axtbcttlen, aytbcttlen, bxtcattlen, bytcattlen, cxtabttlen, cytabttlen; - REAL abt[8], bct[8], cat[8]; - int abtlen, bctlen, catlen; - REAL abtt[4], bctt[4], catt[4]; - int abttlen, bcttlen, cattlen; - INEXACT REAL abtt3, bctt3, catt3; - REAL negate; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - adx = (REAL) (pa[0] - pd[0]); - bdx = (REAL) (pb[0] - pd[0]); - cdx = (REAL) (pc[0] - pd[0]); - ady = (REAL) (pa[1] - pd[1]); - bdy = (REAL) (pb[1] - pd[1]); - cdy = (REAL) (pc[1] - pd[1]); - - Two_Product(bdx, cdy, bdxcdy1, bdxcdy0); - Two_Product(cdx, bdy, cdxbdy1, cdxbdy0); - Two_Two_Diff(bdxcdy1, bdxcdy0, cdxbdy1, cdxbdy0, bc3, bc[2], bc[1], bc[0]); - 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); - - Two_Product(cdx, ady, cdxady1, cdxady0); - Two_Product(adx, cdy, adxcdy1, adxcdy0); - Two_Two_Diff(cdxady1, cdxady0, adxcdy1, adxcdy0, ca3, ca[2], ca[1], ca[0]); - 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); - - Two_Product(adx, bdy, adxbdy1, adxbdy0); - Two_Product(bdx, ady, bdxady1, bdxady0); - Two_Two_Diff(adxbdy1, adxbdy0, bdxady1, bdxady0, ab3, ab[2], ab[1], ab[0]); - 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; - } - - Two_Diff_Tail(pa[0], pd[0], adx, adxtail); - Two_Diff_Tail(pa[1], pd[1], ady, adytail); - Two_Diff_Tail(pb[0], pd[0], bdx, bdxtail); - Two_Diff_Tail(pb[1], pd[1], bdy, bdytail); - Two_Diff_Tail(pc[0], pd[0], cdx, cdxtail); - Two_Diff_Tail(pc[1], pd[1], cdy, cdytail); - 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 * Absolute(det); - det += ((adx * adx + ady * ady) * ((bdx * cdytail + cdy * bdxtail) - - (bdy * cdxtail + cdx * bdytail)) + errbound = iccerrboundC * permanent + resulterrbound * Absolute(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)) + + ((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)) + + ((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)) { - Square(adx, adxadx1, adxadx0); - Square(ady, adyady1, adyady0); - Two_Two_Sum(adxadx1, adxadx0, adyady1, adyady0, aa3, aa[2], aa[1], aa[0]); - aa[3] = aa3; - } - if ((cdxtail != 0.0) || (cdytail != 0.0) - || (adxtail != 0.0) || (adytail != 0.0)) { - Square(bdx, bdxbdx1, bdxbdx0); - Square(bdy, bdybdy1, bdybdy0); - Two_Two_Sum(bdxbdx1, bdxbdx0, bdybdy1, bdybdy0, bb3, bb[2], bb[1], bb[0]); - bb[3] = bb3; - } - if ((adxtail != 0.0) || (adytail != 0.0) - || (bdxtail != 0.0) || (bdytail != 0.0)) { - Square(cdx, cdxcdx1, cdxcdx0); - Square(cdy, cdycdy1, cdycdy0); - Two_Two_Sum(cdxcdx1, cdxcdx0, cdycdy1, cdycdy0, cc3, cc[2], cc[1], cc[0]); - 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)) { - Two_Product(bdxtail, cdy, ti1, ti0); - Two_Product(bdx, cdytail, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); - u[3] = u3; - negate = -bdy; - Two_Product(cdxtail, negate, ti1, ti0); - negate = -bdytail; - Two_Product(cdx, negate, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); - v[3] = v3; - bctlen = fast_expansion_sum_zeroelim(4, u, 4, v, bct); - - Two_Product(bdxtail, cdytail, ti1, ti0); - Two_Product(cdxtail, bdytail, tj1, tj0); - Two_Two_Diff(ti1, ti0, tj1, tj0, bctt3, bctt[2], bctt[1], bctt[0]); - bctt[3] = bctt3; - bcttlen = 4; - } else { - bct[0] = 0.0; - bctlen = 1; - bctt[0] = 0.0; - bcttlen = 1; + if ((det >= errbound) || (-det >= errbound)) + { + return det; } - 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); + finnow = fin1; + finother = fin2; + + if ((bdxtail != 0.0) || (bdytail != 0.0) || (cdxtail != 0.0) || (cdytail != 0.0)) + { + Square(adx, adxadx1, adxadx0); + Square(ady, adyady1, adyady0); + Two_Two_Sum(adxadx1, adxadx0, adyady1, adyady0, aa3, aa[2], aa[1], aa[0]); + aa[3] = aa3; + } + if ((cdxtail != 0.0) || (cdytail != 0.0) || (adxtail != 0.0) || (adytail != 0.0)) + { + Square(bdx, bdxbdx1, bdxbdx0); + Square(bdy, bdybdy1, bdybdy0); + Two_Two_Sum(bdxbdx1, bdxbdx0, bdybdy1, bdybdy0, bb3, bb[2], bb[1], bb[0]); + bb[3] = bb3; + } + if ((adxtail != 0.0) || (adytail != 0.0) || (bdxtail != 0.0) || (bdytail != 0.0)) + { + Square(cdx, cdxcdx1, cdxcdx0); + Square(cdy, cdycdy1, cdycdy0); + Two_Two_Sum(cdxcdx1, cdxcdx0, cdycdy1, cdycdy0, cc3, cc[2], cc[1], cc[0]); + 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 (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); + } + 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; - } - - 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; + 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); - 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)) { - Two_Product(cdxtail, ady, ti1, ti0); - Two_Product(cdx, adytail, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); - u[3] = u3; - negate = -cdy; - Two_Product(adxtail, negate, ti1, ti0); - negate = -cdytail; - Two_Product(adx, negate, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); - v[3] = v3; - catlen = fast_expansion_sum_zeroelim(4, u, 4, v, cat); + bxtcclen = scale_expansion_zeroelim(4, cc, bdxtail, bxtcc); + temp16clen = scale_expansion_zeroelim(bxtcclen, bxtcc, -ady, temp16c); - Two_Product(cdxtail, adytail, ti1, ti0); - Two_Product(adxtail, cdytail, tj1, tj0); - Two_Two_Diff(ti1, ti0, tj1, tj0, catt3, catt[2], catt[1], catt[0]); - 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); + 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) { - 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); + } + 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; - } - - 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; + 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); - 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)) { - Two_Product(adxtail, bdy, ti1, ti0); - Two_Product(adx, bdytail, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); - u[3] = u3; - negate = -ady; - Two_Product(bdxtail, negate, ti1, ti0); - negate = -adytail; - Two_Product(bdx, negate, tj1, tj0); - Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); - v[3] = v3; - abtlen = fast_expansion_sum_zeroelim(4, u, 4, v, abt); + cxtaalen = scale_expansion_zeroelim(4, aa, cdxtail, cxtaa); + temp16clen = scale_expansion_zeroelim(cxtaalen, cxtaa, -bdy, temp16c); - Two_Product(adxtail, bdytail, ti1, ti0); - Two_Product(bdxtail, adytail, tj1, tj0); - Two_Two_Diff(ti1, ti0, tj1, tj0, abtt3, abtt[2], abtt[1], abtt[0]); - 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); + 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) { - 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); + } + 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; - } - - 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; + + if ((adxtail != 0.0) || (adytail != 0.0)) + { + if ((bdxtail != 0.0) || (bdytail != 0.0) || (cdxtail != 0.0) || (cdytail != 0.0)) + { + Two_Product(bdxtail, cdy, ti1, ti0); + Two_Product(bdx, cdytail, tj1, tj0); + Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); + u[3] = u3; + negate = -bdy; + Two_Product(cdxtail, negate, ti1, ti0); + negate = -bdytail; + Two_Product(cdx, negate, tj1, tj0); + Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); + v[3] = v3; + bctlen = fast_expansion_sum_zeroelim(4, u, 4, v, bct); + + Two_Product(bdxtail, cdytail, ti1, ti0); + Two_Product(cdxtail, bdytail, tj1, tj0); + Two_Two_Diff(ti1, ti0, tj1, tj0, bctt3, bctt[2], bctt[1], bctt[0]); + 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(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; + 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)) + { + Two_Product(cdxtail, ady, ti1, ti0); + Two_Product(cdx, adytail, tj1, tj0); + Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); + u[3] = u3; + negate = -cdy; + Two_Product(adxtail, negate, ti1, ti0); + negate = -cdytail; + Two_Product(adx, negate, tj1, tj0); + Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); + v[3] = v3; + catlen = fast_expansion_sum_zeroelim(4, u, 4, v, cat); - return finnow[finlength - 1]; + Two_Product(cdxtail, adytail, ti1, ti0); + Two_Product(adxtail, cdytail, tj1, tj0); + Two_Two_Diff(ti1, ti0, tj1, tj0, catt3, catt[2], catt[1], catt[0]); + 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)) + { + Two_Product(adxtail, bdy, ti1, ti0); + Two_Product(adx, bdytail, tj1, tj0); + Two_Two_Sum(ti1, ti0, tj1, tj0, u3, u[2], u[1], u[0]); + u[3] = u3; + negate = -ady; + Two_Product(bdxtail, negate, ti1, ti0); + negate = -adytail; + Two_Product(bdx, negate, tj1, tj0); + Two_Two_Sum(ti1, ti0, tj1, tj0, v3, v[2], v[1], v[0]); + v[3] = v3; + abtlen = fast_expansion_sum_zeroelim(4, u, 4, v, abt); + + Two_Product(adxtail, bdytail, ti1, ti0); + Two_Product(bdxtail, adytail, tj1, tj0); + Two_Two_Diff(ti1, ti0, tj1, tj0, abtt3, abtt[2], abtt[1], abtt[0]); + 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]; } -REAL incircle(pa, pb, pc, pd) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; +qreal incircle(qreal *pa, qreal *pb, qreal *pc, qreal *pd) { - REAL adx, bdx, cdx, ady, bdy, cdy; - REAL bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; - REAL alift, blift, clift; - REAL det; - REAL permanent, errbound; + qreal adx, bdx, cdx, ady, bdy, cdy; + qreal bdxcdy, cdxbdy, cdxady, adxcdy, adxbdy, bdxady; + qreal alift, blift, clift; + qreal det; + qreal permanent, errbound; - adx = pa[0] - pd[0]; - bdx = pb[0] - pd[0]; - cdx = pc[0] - pd[0]; - ady = pa[1] - pd[1]; - bdy = pb[1] - pd[1]; - cdy = pc[1] - pd[1]; + adx = pa[0] - pd[0]; + bdx = pb[0] - pd[0]; + cdx = pc[0] - pd[0]; + ady = pa[1] - pd[1]; + bdy = pb[1] - pd[1]; + cdy = pc[1] - pd[1]; - bdxcdy = bdx * cdy; - cdxbdy = cdx * bdy; - alift = adx * adx + ady * ady; + bdxcdy = bdx * cdy; + cdxbdy = cdx * bdy; + alift = adx * adx + ady * ady; - cdxady = cdx * ady; - adxcdy = adx * cdy; - blift = bdx * bdx + bdy * bdy; + cdxady = cdx * ady; + adxcdy = adx * cdy; + blift = bdx * bdx + bdy * bdy; - adxbdy = adx * bdy; - bdxady = bdx * ady; - clift = cdx * cdx + cdy * cdy; + adxbdy = adx * bdy; + bdxady = bdx * ady; + clift = cdx * cdx + cdy * cdy; - det = alift * (bdxcdy - cdxbdy) + det = alift * (bdxcdy - cdxbdy) + blift * (cdxady - adxcdy) + clift * (adxbdy - bdxady); - permanent = (Absolute(bdxcdy) + Absolute(cdxbdy)) * alift + permanent = (Absolute(bdxcdy) + Absolute(cdxbdy)) * alift + (Absolute(cdxady) + Absolute(adxcdy)) * blift + (Absolute(adxbdy) + Absolute(bdxady)) * clift; - errbound = iccerrboundA * permanent; - if ((det > errbound) || (-det > errbound)) { - return det; - } + errbound = iccerrboundA * permanent; + if ((det > errbound) || (-det > errbound)) + { + return det; + } - return incircleadapt(pa, pb, pc, pd, permanent); -} - -/*****************************************************************************/ -/* */ -/* inspherefast() Approximate 3D insphere test. Nonrobust. */ -/* insphereexact() Exact 3D insphere test. Robust. */ -/* insphereslow() Another exact 3D insphere test. Robust. */ -/* insphere() Adaptive exact 3D insphere test. Robust. */ -/* */ -/* Return a positive value if the point pe lies inside the */ -/* sphere passing through pa, pb, pc, and pd; a negative value */ -/* if it lies outside; and zero if the five points are */ -/* cospherical. The points pa, pb, pc, and pd must be ordered */ -/* so that they have a positive orientation (as defined by */ -/* orient3d()), or the sign of the result will be reversed. */ -/* */ -/* Only the first and last routine should be used; the middle two are for */ -/* timings. */ -/* */ -/* The last three use exact arithmetic to ensure a correct answer. The */ -/* result returned is the determinant of a matrix. In insphere() only, */ -/* this determinant is computed adaptively, in the sense that exact */ -/* arithmetic is used only to the degree it is needed to ensure that the */ -/* returned value has the correct sign. Hence, insphere() is usually quite */ -/* fast, but will run more slowly when the input points are cospherical or */ -/* nearly so. */ -/* */ -/*****************************************************************************/ - -REAL inspherefast(pa, pb, pc, pd, pe) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -REAL *pe; -{ - REAL aex, bex, cex, dex; - REAL aey, bey, cey, dey; - REAL aez, bez, cez, dez; - REAL alift, blift, clift, dlift; - REAL ab, bc, cd, da, ac, bd; - REAL abc, bcd, cda, dab; - - 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]; - - ab = aex * bey - bex * aey; - bc = bex * cey - cex * bey; - cd = cex * dey - dex * cey; - da = dex * aey - aex * dey; - - ac = aex * cey - cex * aey; - bd = bex * dey - dex * bey; - - 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; - - return (dlift * abc - clift * dab) + (blift * cda - alift * bcd); -} - -REAL insphereexact(pa, pb, pc, pd, pe) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -REAL *pe; -{ - INEXACT REAL axby1, bxcy1, cxdy1, dxey1, exay1; - INEXACT REAL bxay1, cxby1, dxcy1, exdy1, axey1; - INEXACT REAL axcy1, bxdy1, cxey1, dxay1, exby1; - INEXACT REAL cxay1, dxby1, excy1, axdy1, bxey1; - REAL axby0, bxcy0, cxdy0, dxey0, exay0; - REAL bxay0, cxby0, dxcy0, exdy0, axey0; - REAL axcy0, bxdy0, cxey0, dxay0, exby0; - REAL cxay0, dxby0, excy0, axdy0, bxey0; - REAL ab[4], bc[4], cd[4], de[4], ea[4]; - REAL ac[4], bd[4], ce[4], da[4], eb[4]; - REAL temp8a[8], temp8b[8], temp16[16]; - int temp8alen, temp8blen, temp16len; - REAL abc[24], bcd[24], cde[24], dea[24], eab[24]; - REAL abd[24], bce[24], cda[24], deb[24], eac[24]; - int abclen, bcdlen, cdelen, dealen, eablen; - int abdlen, bcelen, cdalen, deblen, eaclen; - REAL temp48a[48], temp48b[48]; - int temp48alen, temp48blen; - REAL abcd[96], bcde[96], cdea[96], deab[96], eabc[96]; - int abcdlen, bcdelen, cdealen, deablen, eabclen; - REAL temp192[192]; - REAL det384x[384], det384y[384], det384z[384]; - int xlen, ylen, zlen; - REAL detxy[768]; - int xylen; - REAL adet[1152], bdet[1152], cdet[1152], ddet[1152], edet[1152]; - int alen, blen, clen, dlen, elen; - REAL abdet[2304], cddet[2304], cdedet[3456]; - int ablen, cdlen; - REAL deter[5760]; - int deterlen; - int i; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - Two_Product(pa[0], pb[1], axby1, axby0); - Two_Product(pb[0], pa[1], bxay1, bxay0); - Two_Two_Diff(axby1, axby0, bxay1, bxay0, ab[3], ab[2], ab[1], ab[0]); - - Two_Product(pb[0], pc[1], bxcy1, bxcy0); - Two_Product(pc[0], pb[1], cxby1, cxby0); - Two_Two_Diff(bxcy1, bxcy0, cxby1, cxby0, bc[3], bc[2], bc[1], bc[0]); - - Two_Product(pc[0], pd[1], cxdy1, cxdy0); - Two_Product(pd[0], pc[1], dxcy1, dxcy0); - Two_Two_Diff(cxdy1, cxdy0, dxcy1, dxcy0, cd[3], cd[2], cd[1], cd[0]); - - Two_Product(pd[0], pe[1], dxey1, dxey0); - Two_Product(pe[0], pd[1], exdy1, exdy0); - Two_Two_Diff(dxey1, dxey0, exdy1, exdy0, de[3], de[2], de[1], de[0]); - - Two_Product(pe[0], pa[1], exay1, exay0); - Two_Product(pa[0], pe[1], axey1, axey0); - Two_Two_Diff(exay1, exay0, axey1, axey0, ea[3], ea[2], ea[1], ea[0]); - - Two_Product(pa[0], pc[1], axcy1, axcy0); - Two_Product(pc[0], pa[1], cxay1, cxay0); - Two_Two_Diff(axcy1, axcy0, cxay1, cxay0, ac[3], ac[2], ac[1], ac[0]); - - Two_Product(pb[0], pd[1], bxdy1, bxdy0); - Two_Product(pd[0], pb[1], dxby1, dxby0); - Two_Two_Diff(bxdy1, bxdy0, dxby1, dxby0, bd[3], bd[2], bd[1], bd[0]); - - Two_Product(pc[0], pe[1], cxey1, cxey0); - Two_Product(pe[0], pc[1], excy1, excy0); - Two_Two_Diff(cxey1, cxey0, excy1, excy0, ce[3], ce[2], ce[1], ce[0]); - - Two_Product(pd[0], pa[1], dxay1, dxay0); - Two_Product(pa[0], pd[1], axdy1, axdy0); - Two_Two_Diff(dxay1, dxay0, axdy1, axdy0, da[3], da[2], da[1], da[0]); - - Two_Product(pe[0], pb[1], exby1, exby0); - Two_Product(pb[0], pe[1], bxey1, bxey0); - Two_Two_Diff(exby1, exby0, bxey1, bxey0, eb[3], eb[2], eb[1], eb[0]); - - 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]; -} - -REAL insphereslow(pa, pb, pc, pd, pe) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -REAL *pe; -{ - INEXACT REAL aex, bex, cex, dex, aey, bey, cey, dey, aez, bez, cez, dez; - REAL aextail, bextail, cextail, dextail; - REAL aeytail, beytail, ceytail, deytail; - REAL aeztail, beztail, ceztail, deztail; - REAL negate, negatetail; - INEXACT REAL axby7, bxcy7, cxdy7, dxay7, axcy7, bxdy7; - INEXACT REAL bxay7, cxby7, dxcy7, axdy7, cxay7, dxby7; - REAL axby[8], bxcy[8], cxdy[8], dxay[8], axcy[8], bxdy[8]; - REAL bxay[8], cxby[8], dxcy[8], axdy[8], cxay[8], dxby[8]; - REAL ab[16], bc[16], cd[16], da[16], ac[16], bd[16]; - int ablen, bclen, cdlen, dalen, aclen, bdlen; - REAL temp32a[32], temp32b[32], temp64a[64], temp64b[64], temp64c[64]; - int temp32alen, temp32blen, temp64alen, temp64blen, temp64clen; - REAL temp128[128], temp192[192]; - int temp128len, temp192len; - REAL detx[384], detxx[768], detxt[384], detxxt[768], detxtxt[768]; - int xlen, xxlen, xtlen, xxtlen, xtxtlen; - REAL x1[1536], x2[2304]; - int x1len, x2len; - REAL dety[384], detyy[768], detyt[384], detyyt[768], detytyt[768]; - int ylen, yylen, ytlen, yytlen, ytytlen; - REAL y1[1536], y2[2304]; - int y1len, y2len; - REAL detz[384], detzz[768], detzt[384], detzzt[768], detztzt[768]; - int zlen, zzlen, ztlen, zztlen, ztztlen; - REAL z1[1536], z2[2304]; - int z1len, z2len; - REAL detxy[4608]; - int xylen; - REAL adet[6912], bdet[6912], cdet[6912], ddet[6912]; - int alen, blen, clen, dlen; - REAL abdet[13824], cddet[13824], deter[27648]; - int deterlen; - int i; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL a0hi, a0lo, a1hi, a1lo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j, _k, _l, _m, _n; - REAL _0, _1, _2; - - Two_Diff(pa[0], pe[0], aex, aextail); - Two_Diff(pa[1], pe[1], aey, aeytail); - Two_Diff(pa[2], pe[2], aez, aeztail); - Two_Diff(pb[0], pe[0], bex, bextail); - Two_Diff(pb[1], pe[1], bey, beytail); - Two_Diff(pb[2], pe[2], bez, beztail); - Two_Diff(pc[0], pe[0], cex, cextail); - Two_Diff(pc[1], pe[1], cey, ceytail); - Two_Diff(pc[2], pe[2], cez, ceztail); - Two_Diff(pd[0], pe[0], dex, dextail); - Two_Diff(pd[1], pe[1], dey, deytail); - Two_Diff(pd[2], pe[2], dez, deztail); - - Two_Two_Product(aex, aextail, bey, beytail, - axby7, axby[6], axby[5], axby[4], - axby[3], axby[2], axby[1], axby[0]); - axby[7] = axby7; - negate = -aey; - negatetail = -aeytail; - Two_Two_Product(bex, bextail, negate, negatetail, - bxay7, bxay[6], bxay[5], bxay[4], - bxay[3], bxay[2], bxay[1], bxay[0]); - bxay[7] = bxay7; - ablen = fast_expansion_sum_zeroelim(8, axby, 8, bxay, ab); - Two_Two_Product(bex, bextail, cey, ceytail, - bxcy7, bxcy[6], bxcy[5], bxcy[4], - bxcy[3], bxcy[2], bxcy[1], bxcy[0]); - bxcy[7] = bxcy7; - negate = -bey; - negatetail = -beytail; - Two_Two_Product(cex, cextail, negate, negatetail, - cxby7, cxby[6], cxby[5], cxby[4], - cxby[3], cxby[2], cxby[1], cxby[0]); - cxby[7] = cxby7; - bclen = fast_expansion_sum_zeroelim(8, bxcy, 8, cxby, bc); - Two_Two_Product(cex, cextail, dey, deytail, - cxdy7, cxdy[6], cxdy[5], cxdy[4], - cxdy[3], cxdy[2], cxdy[1], cxdy[0]); - cxdy[7] = cxdy7; - negate = -cey; - negatetail = -ceytail; - Two_Two_Product(dex, dextail, negate, negatetail, - dxcy7, dxcy[6], dxcy[5], dxcy[4], - dxcy[3], dxcy[2], dxcy[1], dxcy[0]); - dxcy[7] = dxcy7; - cdlen = fast_expansion_sum_zeroelim(8, cxdy, 8, dxcy, cd); - Two_Two_Product(dex, dextail, aey, aeytail, - dxay7, dxay[6], dxay[5], dxay[4], - dxay[3], dxay[2], dxay[1], dxay[0]); - dxay[7] = dxay7; - negate = -dey; - negatetail = -deytail; - Two_Two_Product(aex, aextail, negate, negatetail, - axdy7, axdy[6], axdy[5], axdy[4], - axdy[3], axdy[2], axdy[1], axdy[0]); - axdy[7] = axdy7; - dalen = fast_expansion_sum_zeroelim(8, dxay, 8, axdy, da); - Two_Two_Product(aex, aextail, cey, ceytail, - axcy7, axcy[6], axcy[5], axcy[4], - axcy[3], axcy[2], axcy[1], axcy[0]); - axcy[7] = axcy7; - negate = -aey; - negatetail = -aeytail; - Two_Two_Product(cex, cextail, negate, negatetail, - cxay7, cxay[6], cxay[5], cxay[4], - cxay[3], cxay[2], cxay[1], cxay[0]); - cxay[7] = cxay7; - aclen = fast_expansion_sum_zeroelim(8, axcy, 8, cxay, ac); - Two_Two_Product(bex, bextail, dey, deytail, - bxdy7, bxdy[6], bxdy[5], bxdy[4], - bxdy[3], bxdy[2], bxdy[1], bxdy[0]); - bxdy[7] = bxdy7; - negate = -bey; - negatetail = -beytail; - Two_Two_Product(dex, dextail, negate, negatetail, - dxby7, dxby[6], dxby[5], dxby[4], - dxby[3], dxby[2], dxby[1], dxby[0]); - dxby[7] = dxby7; - bdlen = fast_expansion_sum_zeroelim(8, bxdy, 8, dxby, bd); - - temp32alen = scale_expansion_zeroelim(cdlen, cd, -bez, temp32a); - temp32blen = scale_expansion_zeroelim(cdlen, cd, -beztail, temp32b); - temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64a); - temp32alen = scale_expansion_zeroelim(bdlen, bd, cez, temp32a); - temp32blen = scale_expansion_zeroelim(bdlen, bd, ceztail, temp32b); - temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64b); - temp32alen = scale_expansion_zeroelim(bclen, bc, -dez, temp32a); - temp32blen = scale_expansion_zeroelim(bclen, bc, -deztail, temp32b); - temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64c); - temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, - temp64blen, temp64b, temp128); - temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, - temp128len, temp128, temp192); - xlen = scale_expansion_zeroelim(temp192len, temp192, aex, detx); - xxlen = scale_expansion_zeroelim(xlen, detx, aex, detxx); - xtlen = scale_expansion_zeroelim(temp192len, temp192, aextail, detxt); - xxtlen = scale_expansion_zeroelim(xtlen, detxt, aex, detxxt); - for (i = 0; i < xxtlen; i++) { - detxxt[i] *= 2.0; - } - xtxtlen = scale_expansion_zeroelim(xtlen, detxt, aextail, detxtxt); - x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); - x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); - ylen = scale_expansion_zeroelim(temp192len, temp192, aey, dety); - yylen = scale_expansion_zeroelim(ylen, dety, aey, detyy); - ytlen = scale_expansion_zeroelim(temp192len, temp192, aeytail, detyt); - yytlen = scale_expansion_zeroelim(ytlen, detyt, aey, detyyt); - for (i = 0; i < yytlen; i++) { - detyyt[i] *= 2.0; - } - ytytlen = scale_expansion_zeroelim(ytlen, detyt, aeytail, detytyt); - y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); - y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); - zlen = scale_expansion_zeroelim(temp192len, temp192, aez, detz); - zzlen = scale_expansion_zeroelim(zlen, detz, aez, detzz); - ztlen = scale_expansion_zeroelim(temp192len, temp192, aeztail, detzt); - zztlen = scale_expansion_zeroelim(ztlen, detzt, aez, detzzt); - for (i = 0; i < zztlen; i++) { - detzzt[i] *= 2.0; - } - ztztlen = scale_expansion_zeroelim(ztlen, detzt, aeztail, detztzt); - z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); - z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); - xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); - alen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, adet); - - temp32alen = scale_expansion_zeroelim(dalen, da, cez, temp32a); - temp32blen = scale_expansion_zeroelim(dalen, da, ceztail, temp32b); - temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64a); - temp32alen = scale_expansion_zeroelim(aclen, ac, dez, temp32a); - temp32blen = scale_expansion_zeroelim(aclen, ac, deztail, temp32b); - temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64b); - temp32alen = scale_expansion_zeroelim(cdlen, cd, aez, temp32a); - temp32blen = scale_expansion_zeroelim(cdlen, cd, aeztail, temp32b); - temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64c); - temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, - temp64blen, temp64b, temp128); - temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, - temp128len, temp128, temp192); - xlen = scale_expansion_zeroelim(temp192len, temp192, bex, detx); - xxlen = scale_expansion_zeroelim(xlen, detx, bex, detxx); - xtlen = scale_expansion_zeroelim(temp192len, temp192, bextail, detxt); - xxtlen = scale_expansion_zeroelim(xtlen, detxt, bex, detxxt); - for (i = 0; i < xxtlen; i++) { - detxxt[i] *= 2.0; - } - xtxtlen = scale_expansion_zeroelim(xtlen, detxt, bextail, detxtxt); - x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); - x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); - ylen = scale_expansion_zeroelim(temp192len, temp192, bey, dety); - yylen = scale_expansion_zeroelim(ylen, dety, bey, detyy); - ytlen = scale_expansion_zeroelim(temp192len, temp192, beytail, detyt); - yytlen = scale_expansion_zeroelim(ytlen, detyt, bey, detyyt); - for (i = 0; i < yytlen; i++) { - detyyt[i] *= 2.0; - } - ytytlen = scale_expansion_zeroelim(ytlen, detyt, beytail, detytyt); - y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); - y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); - zlen = scale_expansion_zeroelim(temp192len, temp192, bez, detz); - zzlen = scale_expansion_zeroelim(zlen, detz, bez, detzz); - ztlen = scale_expansion_zeroelim(temp192len, temp192, beztail, detzt); - zztlen = scale_expansion_zeroelim(ztlen, detzt, bez, detzzt); - for (i = 0; i < zztlen; i++) { - detzzt[i] *= 2.0; - } - ztztlen = scale_expansion_zeroelim(ztlen, detzt, beztail, detztzt); - z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); - z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); - xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); - blen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, bdet); - - temp32alen = scale_expansion_zeroelim(ablen, ab, -dez, temp32a); - temp32blen = scale_expansion_zeroelim(ablen, ab, -deztail, temp32b); - temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64a); - temp32alen = scale_expansion_zeroelim(bdlen, bd, -aez, temp32a); - temp32blen = scale_expansion_zeroelim(bdlen, bd, -aeztail, temp32b); - temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64b); - temp32alen = scale_expansion_zeroelim(dalen, da, -bez, temp32a); - temp32blen = scale_expansion_zeroelim(dalen, da, -beztail, temp32b); - temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64c); - temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, - temp64blen, temp64b, temp128); - temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, - temp128len, temp128, temp192); - xlen = scale_expansion_zeroelim(temp192len, temp192, cex, detx); - xxlen = scale_expansion_zeroelim(xlen, detx, cex, detxx); - xtlen = scale_expansion_zeroelim(temp192len, temp192, cextail, detxt); - xxtlen = scale_expansion_zeroelim(xtlen, detxt, cex, detxxt); - for (i = 0; i < xxtlen; i++) { - detxxt[i] *= 2.0; - } - xtxtlen = scale_expansion_zeroelim(xtlen, detxt, cextail, detxtxt); - x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); - x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); - ylen = scale_expansion_zeroelim(temp192len, temp192, cey, dety); - yylen = scale_expansion_zeroelim(ylen, dety, cey, detyy); - ytlen = scale_expansion_zeroelim(temp192len, temp192, ceytail, detyt); - yytlen = scale_expansion_zeroelim(ytlen, detyt, cey, detyyt); - for (i = 0; i < yytlen; i++) { - detyyt[i] *= 2.0; - } - ytytlen = scale_expansion_zeroelim(ytlen, detyt, ceytail, detytyt); - y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); - y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); - zlen = scale_expansion_zeroelim(temp192len, temp192, cez, detz); - zzlen = scale_expansion_zeroelim(zlen, detz, cez, detzz); - ztlen = scale_expansion_zeroelim(temp192len, temp192, ceztail, detzt); - zztlen = scale_expansion_zeroelim(ztlen, detzt, cez, detzzt); - for (i = 0; i < zztlen; i++) { - detzzt[i] *= 2.0; - } - ztztlen = scale_expansion_zeroelim(ztlen, detzt, ceztail, detztzt); - z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); - z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); - xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); - clen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, cdet); - - temp32alen = scale_expansion_zeroelim(bclen, bc, aez, temp32a); - temp32blen = scale_expansion_zeroelim(bclen, bc, aeztail, temp32b); - temp64alen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64a); - temp32alen = scale_expansion_zeroelim(aclen, ac, -bez, temp32a); - temp32blen = scale_expansion_zeroelim(aclen, ac, -beztail, temp32b); - temp64blen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64b); - temp32alen = scale_expansion_zeroelim(ablen, ab, cez, temp32a); - temp32blen = scale_expansion_zeroelim(ablen, ab, ceztail, temp32b); - temp64clen = fast_expansion_sum_zeroelim(temp32alen, temp32a, - temp32blen, temp32b, temp64c); - temp128len = fast_expansion_sum_zeroelim(temp64alen, temp64a, - temp64blen, temp64b, temp128); - temp192len = fast_expansion_sum_zeroelim(temp64clen, temp64c, - temp128len, temp128, temp192); - xlen = scale_expansion_zeroelim(temp192len, temp192, dex, detx); - xxlen = scale_expansion_zeroelim(xlen, detx, dex, detxx); - xtlen = scale_expansion_zeroelim(temp192len, temp192, dextail, detxt); - xxtlen = scale_expansion_zeroelim(xtlen, detxt, dex, detxxt); - for (i = 0; i < xxtlen; i++) { - detxxt[i] *= 2.0; - } - xtxtlen = scale_expansion_zeroelim(xtlen, detxt, dextail, detxtxt); - x1len = fast_expansion_sum_zeroelim(xxlen, detxx, xxtlen, detxxt, x1); - x2len = fast_expansion_sum_zeroelim(x1len, x1, xtxtlen, detxtxt, x2); - ylen = scale_expansion_zeroelim(temp192len, temp192, dey, dety); - yylen = scale_expansion_zeroelim(ylen, dety, dey, detyy); - ytlen = scale_expansion_zeroelim(temp192len, temp192, deytail, detyt); - yytlen = scale_expansion_zeroelim(ytlen, detyt, dey, detyyt); - for (i = 0; i < yytlen; i++) { - detyyt[i] *= 2.0; - } - ytytlen = scale_expansion_zeroelim(ytlen, detyt, deytail, detytyt); - y1len = fast_expansion_sum_zeroelim(yylen, detyy, yytlen, detyyt, y1); - y2len = fast_expansion_sum_zeroelim(y1len, y1, ytytlen, detytyt, y2); - zlen = scale_expansion_zeroelim(temp192len, temp192, dez, detz); - zzlen = scale_expansion_zeroelim(zlen, detz, dez, detzz); - ztlen = scale_expansion_zeroelim(temp192len, temp192, deztail, detzt); - zztlen = scale_expansion_zeroelim(ztlen, detzt, dez, detzzt); - for (i = 0; i < zztlen; i++) { - detzzt[i] *= 2.0; - } - ztztlen = scale_expansion_zeroelim(ztlen, detzt, deztail, detztzt); - z1len = fast_expansion_sum_zeroelim(zzlen, detzz, zztlen, detzzt, z1); - z2len = fast_expansion_sum_zeroelim(z1len, z1, ztztlen, detztzt, z2); - xylen = fast_expansion_sum_zeroelim(x2len, x2, y2len, y2, detxy); - dlen = fast_expansion_sum_zeroelim(z2len, z2, xylen, detxy, ddet); - - ablen = fast_expansion_sum_zeroelim(alen, adet, blen, bdet, abdet); - cdlen = fast_expansion_sum_zeroelim(clen, cdet, dlen, ddet, cddet); - deterlen = fast_expansion_sum_zeroelim(ablen, abdet, cdlen, cddet, deter); - - return deter[deterlen - 1]; -} - -REAL insphereadapt(pa, pb, pc, pd, pe, permanent) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -REAL *pe; -REAL permanent; -{ - INEXACT REAL aex, bex, cex, dex, aey, bey, cey, dey, aez, bez, cez, dez; - REAL det, errbound; - - INEXACT REAL aexbey1, bexaey1, bexcey1, cexbey1; - INEXACT REAL cexdey1, dexcey1, dexaey1, aexdey1; - INEXACT REAL aexcey1, cexaey1, bexdey1, dexbey1; - REAL aexbey0, bexaey0, bexcey0, cexbey0; - REAL cexdey0, dexcey0, dexaey0, aexdey0; - REAL aexcey0, cexaey0, bexdey0, dexbey0; - REAL ab[4], bc[4], cd[4], da[4], ac[4], bd[4]; - INEXACT REAL ab3, bc3, cd3, da3, ac3, bd3; - REAL abeps, bceps, cdeps, daeps, aceps, bdeps; - REAL temp8a[8], temp8b[8], temp8c[8], temp16[16], temp24[24], temp48[48]; - int temp8alen, temp8blen, temp8clen, temp16len, temp24len, temp48len; - REAL xdet[96], ydet[96], zdet[96], xydet[192]; - int xlen, ylen, zlen, xylen; - REAL adet[288], bdet[288], cdet[288], ddet[288]; - int alen, blen, clen, dlen; - REAL abdet[576], cddet[576]; - int ablen, cdlen; - REAL fin1[1152]; - int finlength; - - REAL aextail, bextail, cextail, dextail; - REAL aeytail, beytail, ceytail, deytail; - REAL aeztail, beztail, ceztail, deztail; - - INEXACT REAL bvirt; - REAL avirt, bround, around; - INEXACT REAL c; - INEXACT REAL abig; - REAL ahi, alo, bhi, blo; - REAL err1, err2, err3; - INEXACT REAL _i, _j; - REAL _0; - - aex = (REAL) (pa[0] - pe[0]); - bex = (REAL) (pb[0] - pe[0]); - cex = (REAL) (pc[0] - pe[0]); - dex = (REAL) (pd[0] - pe[0]); - aey = (REAL) (pa[1] - pe[1]); - bey = (REAL) (pb[1] - pe[1]); - cey = (REAL) (pc[1] - pe[1]); - dey = (REAL) (pd[1] - pe[1]); - aez = (REAL) (pa[2] - pe[2]); - bez = (REAL) (pb[2] - pe[2]); - cez = (REAL) (pc[2] - pe[2]); - dez = (REAL) (pd[2] - pe[2]); - - Two_Product(aex, bey, aexbey1, aexbey0); - Two_Product(bex, aey, bexaey1, bexaey0); - Two_Two_Diff(aexbey1, aexbey0, bexaey1, bexaey0, ab3, ab[2], ab[1], ab[0]); - ab[3] = ab3; - - Two_Product(bex, cey, bexcey1, bexcey0); - Two_Product(cex, bey, cexbey1, cexbey0); - Two_Two_Diff(bexcey1, bexcey0, cexbey1, cexbey0, bc3, bc[2], bc[1], bc[0]); - bc[3] = bc3; - - Two_Product(cex, dey, cexdey1, cexdey0); - Two_Product(dex, cey, dexcey1, dexcey0); - Two_Two_Diff(cexdey1, cexdey0, dexcey1, dexcey0, cd3, cd[2], cd[1], cd[0]); - cd[3] = cd3; - - Two_Product(dex, aey, dexaey1, dexaey0); - Two_Product(aex, dey, aexdey1, aexdey0); - Two_Two_Diff(dexaey1, dexaey0, aexdey1, aexdey0, da3, da[2], da[1], da[0]); - da[3] = da3; - - Two_Product(aex, cey, aexcey1, aexcey0); - Two_Product(cex, aey, cexaey1, cexaey0); - Two_Two_Diff(aexcey1, aexcey0, cexaey1, cexaey0, ac3, ac[2], ac[1], ac[0]); - ac[3] = ac3; - - Two_Product(bex, dey, bexdey1, bexdey0); - Two_Product(dex, bey, dexbey1, dexbey0); - Two_Two_Diff(bexdey1, bexdey0, dexbey1, dexbey0, bd3, bd[2], bd[1], bd[0]); - 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; - } - - Two_Diff_Tail(pa[0], pe[0], aex, aextail); - Two_Diff_Tail(pa[1], pe[1], aey, aeytail); - Two_Diff_Tail(pa[2], pe[2], aez, aeztail); - Two_Diff_Tail(pb[0], pe[0], bex, bextail); - Two_Diff_Tail(pb[1], pe[1], bey, beytail); - Two_Diff_Tail(pb[2], pe[2], bez, beztail); - Two_Diff_Tail(pc[0], pe[0], cex, cextail); - Two_Diff_Tail(pc[1], pe[1], cey, ceytail); - Two_Diff_Tail(pc[2], pe[2], cez, ceztail); - Two_Diff_Tail(pd[0], pe[0], dex, dextail); - Two_Diff_Tail(pd[1], pe[1], dey, deytail); - Two_Diff_Tail(pd[2], pe[2], dez, deztail); - 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 * Absolute(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 insphereexact(pa, pb, pc, pd, pe); -} - -REAL insphere(pa, pb, pc, pd, pe) -REAL *pa; -REAL *pb; -REAL *pc; -REAL *pd; -REAL *pe; -{ - REAL aex, bex, cex, dex; - REAL aey, bey, cey, dey; - REAL aez, bez, cez, dez; - REAL aexbey, bexaey, bexcey, cexbey, cexdey, dexcey, dexaey, aexdey; - REAL aexcey, cexaey, bexdey, dexbey; - REAL alift, blift, clift, dlift; - REAL ab, bc, cd, da, ac, bd; - REAL abc, bcd, cda, dab; - REAL aezplus, bezplus, cezplus, dezplus; - REAL aexbeyplus, bexaeyplus, bexceyplus, cexbeyplus; - REAL cexdeyplus, dexceyplus, dexaeyplus, aexdeyplus; - REAL aexceyplus, cexaeyplus, bexdeyplus, dexbeyplus; - REAL det; - REAL 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 = Absolute(aez); - bezplus = Absolute(bez); - cezplus = Absolute(cez); - dezplus = Absolute(dez); - aexbeyplus = Absolute(aexbey); - bexaeyplus = Absolute(bexaey); - bexceyplus = Absolute(bexcey); - cexbeyplus = Absolute(cexbey); - cexdeyplus = Absolute(cexdey); - dexceyplus = Absolute(dexcey); - dexaeyplus = Absolute(dexaey); - aexdeyplus = Absolute(aexdey); - aexceyplus = Absolute(aexcey); - cexaeyplus = Absolute(cexaey); - bexdeyplus = Absolute(bexdey); - dexbeyplus = Absolute(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 insphereadapt(pa, pb, pc, pd, pe, permanent); + return incircleadapt(pa, pb, pc, pd, permanent); } diff --git a/src/libs/vobj/vobjengine.cpp b/src/libs/vobj/vobjengine.cpp index 23042f8bc..ee1536355 100644 --- a/src/libs/vobj/vobjengine.cpp +++ b/src/libs/vobj/vobjengine.cpp @@ -47,7 +47,13 @@ static inline QPaintEngine::PaintEngineFeatures svgEngineFeatures() VObjEngine::VObjEngine() :QPaintEngine(svgEngineFeatures()), stream(nullptr), globalPointsCount(0), outputDevice(nullptr), planeCount(0), size(), resolution(96), matrix() -{} +{ + for(int i=0; i < MAX_POINTS; i++) + { + points[i].x = 0; + points[i].y = 0; + } +} //--------------------------------------------------------------------------------------------------------------------- VObjEngine::~VObjEngine()