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// Created by Laurent Garnier on Fri Jan 30 2004.
namespace tools {
//////////////////////////////////////////////////////////////////////////////
// test if the polygone given is correct for hatching
// return FALSE if :
// - All points are not in the same plan
// - Number of points <3
// - Offset point is not in the same plan
// - There is less than three different points
// - The vector from point[0],point[1] is colinear to point[0],lastPoint
//////////////////////////////////////////////////////////////////////////////
inline bool hatcher::check_polyline(vec3f* listPoints,unsigned int aNumber){
unsigned int firstOffset =0;
if ( listPoints[0].equals(listPoints[1],FLT_EPSILON*FLT_EPSILON*10)) {
firstOffset =1;
}
if ( listPoints[0].equals(listPoints[aNumber-1],FLT_EPSILON*FLT_EPSILON*10)) {
aNumber --;
}
if ((int)aNumber-firstOffset <3) {
return false;
}
// use to test the polyline and to build the shift vector. A is the first point,
// B second and C the last (in fact, the last-1)!
vec3f AB,AC;
AB.setValue(listPoints[1+firstOffset].getValue()[0]-listPoints[0].getValue()[0],
listPoints[1+firstOffset].getValue()[1]-listPoints[0].getValue()[1],
listPoints[1+firstOffset].getValue()[2]-listPoints[0].getValue()[2]); // Vector A->B
fResolveResult = RESOLVE_COLINEAR;
unsigned int test = aNumber;
while ((fResolveResult !=0) && (test>2+firstOffset)) {
test--;
AC.setValue(listPoints[test].getValue()[0]-listPoints[0].getValue()[0],
listPoints[test].getValue()[1]-listPoints[0].getValue()[1],
listPoints[test].getValue()[2]-listPoints[0].getValue()[2]);
// test if AB != AC*i
resolve_system( AB,
AC,
vec3f(.0f,.0f,.0f));
}
if (fResolveResult == RESOLVE_COLINEAR) {
return false;
}
///////////////////////////////////////////////////////////////
// test if all points of the polyline are on the same plan
///////////////////////////////////////////////////////////////
int falsePoints =0;
for (unsigned int a=2+firstOffset;a<aNumber;a++) {
resolve_system( AB,
AC,
vec3f((listPoints[a].getValue()[0]-listPoints[0].getValue()[0]),
(listPoints[a].getValue()[1]-listPoints[0].getValue()[1]),
(listPoints[a].getValue()[2]-listPoints[0].getValue()[2])));
if (fResolveResult != 0){
falsePoints++;
}
}
if (falsePoints !=0) {
return false;
}
// test offset
if (! ((fOffset[0] == FLT_MAX) && (fOffset[1] == FLT_MAX) && (fOffset[2] == FLT_MAX))){
resolve_system( AB,
AC,
fOffset-listPoints[0]);
if (fResolveResult != 0) {
return false;
}
}
return true;
}
//////////////////////////////////////////////////////////////////////////////
// draw the hatch into the polyline bounding box giving in argument
// return false if :
// - All points are not in the same plan
// - There is a precision error on one or more point
// Compute a first sequence of hacth, store results, compute a second sequence
// and match all results to get the correct strip points
//////////////////////////////////////////////////////////////////////////////
/** Compute stripWidth
* We have to use the conflictNumHatchLineTab, hatchNumber,listHatchStartPoint tables
* also the HatchShiftToMacthPoint tab.
* and the hatch line just compute below
* We try to made a polyline with all points witch are on the current hatch and on the next hacth
* (distant of stripwidth form current hatch)
* conflictNumHatchLineTab give us something like this for current and next hatch
* current next current next
* 4 4 if we consider that ,4 ,4
* 0 5 we know the compute hatch '0 '5
* 1 3 lines, we could link ,1 ,3
* 3 2 some of theses line numbers '3 '2
* 5 so ->> ,5
* 2 '2
* And we have to add some points when HatchShiftToMacthPoint(point) is between current
* and next hatch : We add a point B on intersection of line 0 and 1
* current next current next
* ,4 ,4
* '0 B(0,1) '5
* ,1
* '3 ,3
* ,5 '2
* '2
*
* Now we have to match a way to traverse all of theses lines. We have 3 solutions to go from
* one line to another :
* - go to the next point if there is one between current and next hatch
* - go to the same line but on another hatch
* - go to the next tach point
* If there is no solution, we have to close the polyline strip and go to another point until
* all are compute
*/
/** first, we have to match 7 different cases
* 1- all strip hatch are entirely in the polyline
* 2- the first strip begin before the polyline and the last end in the polyline
* 3- the first strip begin before the polyline and the last ends after
* 4- the first strip is entierly in the polyline and the last ends after
* 5- the strip has only an intersection with the second hatch sequence (if it has only an intersection
* with the first hatch sequence, it is case 2
* 6- the strip has a full intersection
* 7- the strip has no intersection !
*/
inline bool hatcher::compute_polyline (vec3f* tabPoints,unsigned int aNumber) {
std::vector<vec3f> firstComputePoints; // copy first Points in
std::vector<vec3f> secondComputePoints; // copy first Points in
std::vector<bool> firstComputePointsEnable; // table of already compute points for first hatch
std::vector<bool> secondComputePointsEnable;// table of already compute points for second hatch
std::vector< std::vector<int> > firstComputeConflictNumHatchLineTab; // copy firstComputeConflictNumHatchLineTab in
int firstComputeFirstNumHatch =0;
unsigned int firstComputeNumberHatchToDraw =0;
float firstHatchShiftToMatchFirstPoint = FLT_MAX; // use in one case when there is no intersection points: to test we have to fill all the polygone
float secondHatchShiftToMatchFirstPoint = FLT_MAX; // use in one case when there is no intersection points: to test we have to fill all the polygone
//call compute for first set of hatch
if ( !compute_single_polyline (tabPoints,aNumber))
return false;
if (fStripWidth ==0)
return true;
//save values
for (unsigned int a =0;a<fPoints.size();a++){
firstComputePoints.push_back(fPoints[a]);
}
firstComputeConflictNumHatchLineTab.resize(fConflictNumHatchLineTab.size());
for (unsigned int a=0;a<fConflictNumHatchLineTab.size();a++){
firstComputeConflictNumHatchLineTab[a].clear();
for (unsigned int b=0;b<fConflictNumHatchLineTab[a].size();b++){
firstComputeConflictNumHatchLineTab[a].push_back(fConflictNumHatchLineTab[a][b]);
}
}
firstComputeFirstNumHatch = fFirstNumHatch;
firstComputeNumberHatchToDraw = fNumberHatchToDraw;
firstHatchShiftToMatchFirstPoint = fHatchShiftToMatchPointVec[0];
//change the offset vector
fOffset = fOffset+fShiftVec*fStripWidth;
//call compute for second set of hatch
if ( !compute_single_polyline (tabPoints,aNumber))
return false;
//save values
for (unsigned int a =0;a<fPoints.size();a++){
secondComputePoints.push_back(fPoints[a]);
}
secondHatchShiftToMatchFirstPoint = fHatchShiftToMatchPointVec[0];
// initialize values
fPoints.clear();
fVertices.clear();
int specialCase=1;
//first hatch, case 1
if ((firstComputeFirstNumHatch == fFirstNumHatch) && (firstComputeNumberHatchToDraw == fNumberHatchToDraw) && (firstComputeNumberHatchToDraw !=0)) {
specialCase =1;
}
//first hatch, case 2
else if ((firstComputeFirstNumHatch > fFirstNumHatch) && (firstComputeNumberHatchToDraw < fNumberHatchToDraw) && (firstComputeNumberHatchToDraw !=0)) {
//insert a empty element at the beginning
firstComputeConflictNumHatchLineTab.insert(firstComputeConflictNumHatchLineTab.begin(), firstComputeConflictNumHatchLineTab.back());
firstComputeConflictNumHatchLineTab[0].resize(0);
firstComputeFirstNumHatch--;
firstComputeNumberHatchToDraw ++;
firstComputeConflictNumHatchLineTab[0].clear();
specialCase =2;
} //second hatch, case 3
else if (((firstComputeFirstNumHatch > fFirstNumHatch) && (firstComputeNumberHatchToDraw == fNumberHatchToDraw)) && (firstComputeNumberHatchToDraw !=0)) {
//insert a empty element at the beginning
firstComputeConflictNumHatchLineTab.insert(firstComputeConflictNumHatchLineTab.begin(),firstComputeConflictNumHatchLineTab.back());
firstComputeConflictNumHatchLineTab[0].resize(0);
firstComputeConflictNumHatchLineTab[0].clear();
//insert a empty element at the end
fConflictNumHatchLineTab.push_back(firstComputeConflictNumHatchLineTab.back());
fConflictNumHatchLineTab.back().resize(0);
fConflictNumHatchLineTab.back().clear();
firstComputeFirstNumHatch--;
firstComputeNumberHatchToDraw ++;
specialCase =3;
} //second hatch, case 4
else if (((firstComputeFirstNumHatch == fFirstNumHatch) && (firstComputeNumberHatchToDraw > fNumberHatchToDraw)) && (firstComputeNumberHatchToDraw !=0)) {
//insert a empty element at the end
fConflictNumHatchLineTab.push_back(firstComputeConflictNumHatchLineTab.back());
fConflictNumHatchLineTab.back().resize(0);
fConflictNumHatchLineTab.back().clear();
specialCase =4;
} //second hatch, case 5
else if ((firstComputeNumberHatchToDraw ==0) && (fNumberHatchToDraw !=0)) {
//insert a empty element at the beginning
firstComputeConflictNumHatchLineTab.insert(firstComputeConflictNumHatchLineTab.begin(),firstComputeConflictNumHatchLineTab.back());
firstComputeConflictNumHatchLineTab[0].resize(0);
firstComputeConflictNumHatchLineTab[0].clear();
firstComputeNumberHatchToDraw ++;
specialCase =5;
} //second hatch, case 6
else if (floorf(firstHatchShiftToMatchFirstPoint) != floorf(secondHatchShiftToMatchFirstPoint)) {
specialCase =6;
//fill all the polygone !
fVertices.push_back(aNumber);
for (unsigned int a =0;a<aNumber;a++){
fPoints.push_back(tabPoints[a]);
}
return true;
}
else if (floorf(firstHatchShiftToMatchFirstPoint) == floorf(secondHatchShiftToMatchFirstPoint)) {
specialCase =7;
return true;
} else {
}
bool result;
bool find; // temp variable
int firstHatchComputePoint = 0; //first point number
int secondHatchComputePoint = 0; //first point number
unsigned int lineNumber;
unsigned int firstPointTabInd =0;
unsigned int secondPointTabInd=0;
unsigned int currentHatch; // 0 is first, 1 is second, 2 is one or other !!
unsigned int solution; //default for beginning
unsigned int indTmp;
unsigned int oldSolution;
for (unsigned int indHatch =0;indHatch<firstComputeNumberHatchToDraw;indHatch++) {
currentHatch =0; // 0 is first, 1 is second
solution =99; //default for beginning
indTmp = 0;
lineNumber = 0;
secondComputePointsEnable.clear();
firstComputePointsEnable.clear();
for (unsigned int a=0;a<firstComputeConflictNumHatchLineTab[indHatch].size();a++){
firstComputePointsEnable.push_back(false);}
for (unsigned int a=0;a<fConflictNumHatchLineTab[indHatch].size();a++){
secondComputePointsEnable.push_back(false);}
if ((indHatch == 0) && ((specialCase ==2) || (specialCase ==3) || (specialCase ==5))) {
for (unsigned int a=0;a<firstComputeConflictNumHatchLineTab[indHatch].size();a++){
firstComputePointsEnable[a] = true;
}
}
if ((indHatch == (firstComputeNumberHatchToDraw-1)) && ((specialCase ==3) || (specialCase ==4))) {
for (unsigned int a=0;a<fConflictNumHatchLineTab[indHatch].size();a++){
secondComputePointsEnable[a] = true;
}
}
result = false;
while (result == false) {
//find a uncompute point for this set of hatch
result =true;
unsigned int b=0;
while ((result == true) && (b<firstComputeConflictNumHatchLineTab[indHatch].size())) {
if (firstComputePointsEnable[b] == false) {
result =false;
firstHatchComputePoint = b;
lineNumber = firstComputeConflictNumHatchLineTab[indHatch][b];
fPoints.push_back(firstComputePoints[b+firstPointTabInd]);
fVertices.push_back(1);
firstComputePointsEnable[b] = true;
currentHatch = 0;
}
b++;
}
if (result ==true) {
//find a uncompute point for this set of hatch
while ((result == true) && (b<fConflictNumHatchLineTab[indHatch].size())) {
if (secondComputePointsEnable[b] == false) {
result =false;
secondHatchComputePoint = b;
lineNumber = fConflictNumHatchLineTab[indHatch][b];
fPoints.push_back(secondComputePoints[b+secondPointTabInd]);
fVertices.push_back(1);
secondComputePointsEnable[b] = true;
currentHatch = 1;
}
b++;
}
}
if (result == true) {
}
solution =99; // to enter in the while
while (solution !=0) {
oldSolution = solution;
solution =0; //default
// get the line number for this point
/** Now we have to match a way to traverse all of theses lines. We have 3 solutions to go from
* one line to another :
* - go to the next point if there is one between current and next hatch
* - go to the same line but on another hatch
* - go to the next hatch point
*/
if (currentHatch != 1) {
if (oldSolution != 3) { // could go to first solution
int index =0;
if ((firstHatchComputePoint % 2 == 0) && (firstComputePointsEnable[firstHatchComputePoint+1] == false)) index =1;
else if ((firstHatchComputePoint % 2 != 0) && (firstComputePointsEnable[firstHatchComputePoint-1] == false)) index = -1;
if (index !=0) {
solution = 1;
oldSolution = 0;
firstHatchComputePoint = firstHatchComputePoint+index;
fPoints.push_back(firstComputePoints[firstHatchComputePoint+firstPointTabInd]);
fVertices.back() ++;
firstComputePointsEnable[firstHatchComputePoint] = true;
lineNumber = firstComputeConflictNumHatchLineTab[indHatch][firstHatchComputePoint];
}
}
if (solution == 0) { // could go to second solution
indTmp = 0;
while ((solution == 0) && (indTmp < fConflictNumHatchLineTab[indHatch].size())) {
if ((fConflictNumHatchLineTab[indHatch][indTmp] == (int)lineNumber) && (secondComputePointsEnable[indTmp] == false)) {
solution =2;
oldSolution = 0;
fPoints.push_back(secondComputePoints[indTmp+secondPointTabInd]);
fVertices.back() ++;
secondComputePointsEnable[indTmp] = true;
lineNumber = fConflictNumHatchLineTab[indHatch][indTmp];
secondHatchComputePoint = indTmp;
currentHatch =1;
}
indTmp ++;
}
}
if (solution == 0) { // could go to first solution
indTmp = 0;
while ((solution == 0) && (indTmp < aNumber)) {
if ((fHatchShiftToMatchPointVec[indTmp] > ((float)firstComputeFirstNumHatch+(float)indHatch-fStripWidth))
&& (fHatchShiftToMatchPointVec[indTmp] < ((float)firstComputeFirstNumHatch+(float)indHatch))
&& ((indTmp == lineNumber) || (indTmp==lineNumber+1) || ((lineNumber == (aNumber-1)) && (indTmp ==0)))) {
find = false;
unsigned a =0;
while ((a<fVertices.back()) && (find == false)) {
if ((tabPoints[indTmp][0] == fPoints[a][0]) && (tabPoints[indTmp][1] == fPoints[a][1]) && (tabPoints[indTmp][2] == fPoints[a][2])) find = true;
a++;
}
if (find == false){
solution = 3;
oldSolution = 0;
currentHatch =2;
fPoints.push_back(tabPoints[indTmp]);
fVertices.back() ++;
if (lineNumber == indTmp) {
if (indTmp >0) lineNumber = indTmp-1;
else lineNumber = aNumber-1;
}
else {
if (indTmp < aNumber-1) lineNumber = indTmp;
else lineNumber = 0;
}
}
}
indTmp++;
}
}
} // end of current hatch
//test of second hatch if currentHatch is second
if ((oldSolution != 0) && (solution !=2) && (currentHatch !=0)) {
if (oldSolution != 3){ // could go to first solution
int index =0;
if ((secondHatchComputePoint % 2 == 0) && (secondComputePointsEnable[secondHatchComputePoint+1] == false)) index =1;
else if ((secondHatchComputePoint % 2 != 0) && (secondComputePointsEnable[secondHatchComputePoint-1] == false)) index = -1;
if (index !=0){
solution = 1;
secondHatchComputePoint = secondHatchComputePoint+index;
fPoints.push_back(secondComputePoints[secondHatchComputePoint+secondPointTabInd]);
fVertices.back() ++;
secondComputePointsEnable[secondHatchComputePoint] = true;
lineNumber = fConflictNumHatchLineTab[indHatch][secondHatchComputePoint];
}
}
if (solution == 0) { // could go to second solution
indTmp = 0;
while ((solution == 0) && (indTmp < firstComputeConflictNumHatchLineTab[indHatch].size())) {
if ((firstComputeConflictNumHatchLineTab[indHatch][indTmp] == (int)lineNumber) && (firstComputePointsEnable[indTmp] == false)) {
solution =2;
fPoints.push_back(firstComputePoints[indTmp+firstPointTabInd]);
fVertices.back() ++;
firstComputePointsEnable[indTmp] = true;
lineNumber = firstComputeConflictNumHatchLineTab[indHatch][indTmp];
firstHatchComputePoint = indTmp;
currentHatch =0;
}
indTmp ++;
}
}
if (solution == 0) { // could go to first solution
indTmp = 0;
while ((solution == 0) && (indTmp < aNumber)) {
if ((fHatchShiftToMatchPointVec[indTmp] > ((float)fFirstNumHatch+(float)indHatch-fStripWidth))
&& (fHatchShiftToMatchPointVec[indTmp] < ((float)fFirstNumHatch+(float)indHatch))
&& ((indTmp == lineNumber) || (indTmp==lineNumber+1) || ((lineNumber == (aNumber-1)) && (indTmp ==0)))) {
find = false;
unsigned a =0;
while ((a<fVertices.back()) && (find == false)) {
if ((tabPoints[indTmp][0] == fPoints[a][0]) && (tabPoints[indTmp][1] == fPoints[a][1]) && (tabPoints[indTmp][2] == fPoints[a][2])) find = true;
a++;
}
if (find == false){
currentHatch =2;
solution = 3;
fPoints.push_back(tabPoints[indTmp]);
fVertices.back() ++;
if (lineNumber == indTmp) {
if (indTmp >0) lineNumber = indTmp-1;
else lineNumber = aNumber-1;
}
else {
if (indTmp < aNumber-1) lineNumber = indTmp;
else lineNumber = 0;
}
}
}
indTmp++;
}
}
} // end of current hatch
if (solution == 0) {
// the end for this polyline
// close polyline
fPoints.push_back(fPoints[fPoints.size()-fVertices.back()]);
fVertices.back() ++;
result =true;
}
} // while solution !=0
// } // if result
} // while result
for (unsigned int a =0;a<fVertices.size();a++){
}
firstPointTabInd += firstComputeConflictNumHatchLineTab[indHatch].size();
secondPointTabInd += fConflictNumHatchLineTab[indHatch].size();
} //end for
return true;
}
//////////////////////////////////////////////////////////////////////////////
// draw the hatch into the polyline bounding box giving in argument
// return false if :
// - All points are not in the same plan
// - There is a precision error on one or more point
//////////////////////////////////////////////////////////////////////////////
inline bool hatcher::compute_single_polyline (vec3f* tabPoints,unsigned int aNumber) {
std::vector<vec3f> listNormalVec;
int numberOfPolylinePoints =0;
fPoints.resize(0);
fPoints.clear();
int precisionError =0;
unsigned int firstOffset =0;
fFirstNumHatch =0;
fNumberHatchToDraw =0;
fVertices.resize(0);
fVertices.clear();
if ( tabPoints[0].equals(tabPoints[1].getValue(),FLT_EPSILON*FLT_EPSILON*10)) {
firstOffset =1; }
vec3f* listPoints = new vec3f[aNumber+1-firstOffset];
for (unsigned int i=0;i<aNumber;i++){
if ((i==0) || (listPoints[i-1] !=tabPoints[i+firstOffset])) {
listPoints[numberOfPolylinePoints] = tabPoints[i+firstOffset];
numberOfPolylinePoints++;
}
}
// add the first point on last position to close the line
if ( ! listPoints[0].equals(listPoints[numberOfPolylinePoints-1].getValue(),FLT_EPSILON*FLT_EPSILON*10)) {
listPoints[numberOfPolylinePoints]=listPoints[0];
numberOfPolylinePoints ++;
}
// use to test the polyline and to build the shift vector. A is the first point,
// B second and C the last (in fact, the last-1)!
vec3f AB,AC;
AB.setValue(listPoints[1].getValue()[0]-listPoints[0].getValue()[0],
listPoints[1].getValue()[1]-listPoints[0].getValue()[1],
listPoints[1].getValue()[2]-listPoints[0].getValue()[2]); // Vector A->B
fResolveResult = RESOLVE_COLINEAR;
unsigned int test = numberOfPolylinePoints-1;
while ((fResolveResult !=0) && (test>1)) {
test--;
AC.setValue(listPoints[test].getValue()[0]-listPoints[0].getValue()[0],
listPoints[test].getValue()[1]-listPoints[0].getValue()[1],
listPoints[test].getValue()[2]-listPoints[0].getValue()[2]);
// test if AB != AC*i
resolve_system( AB,
AC,
vec3f(.0f,.0f,.0f));
}
if (fResolveResult == RESOLVE_COLINEAR) {
delete [] listPoints;
return false;
}
///////////////////////////////////////////////////////////////
// creation of the dirVec. It is done with the dirAngle field
// The angle is the one between the first line (point 1-point0)
// and the dirVec, on the plan delimited by polyline
// Given in the direct axis ((point1-point0),(lastPoint-point0),normalPlanVec)
// Normal plane Vector = AB x AC
///////////////////////////////////////////////////////////////
if (fFirstPolyline) {
fFirstPolyline = false;
fNormal.setValue(AB[1]*AC[2]-AB[2]*AC[1],
AB[2]*AC[0]-AB[0]*AC[2],
AB[0]*AC[1]-AB[1]*AC[0]);
// ABPerp Vector = normal x AB
vec3f ABPerpVector;
ABPerpVector.setValue(fNormal[1]*AB[2]-fNormal[2]*AB[1],
fNormal[2]*AB[0]-fNormal[0]*AB[2],
fNormal[0]*AB[1]-fNormal[1]*AB[0]);
float normAB =(float)std::sqrt(std::pow(AB[0],2)+
std::pow(AB[1],2)+
std::pow(AB[2],2));
float normABPerpVector =(float)std::sqrt(std::pow(ABPerpVector[0],2)+
std::pow(ABPerpVector[1],2)+
std::pow(ABPerpVector[2],2));
float j = std::tan(fDirAngle)*normAB/normABPerpVector;
if (normABPerpVector == 0){ // never done (should be test before)
delete [] listPoints;
return false;
}
fDirVec = AB +(float)j*ABPerpVector;
// normalize vector to unit on X or on Y
if (fDirVec.getValue()[0] ==0){
fDirVec[0] = fPrecisionFactor; // to get rid of somes errors
fDirVec = fDirVec/fDirVec.getValue()[1]; // normalize on Y because X will be a big value
} else {
fDirVec = fDirVec/fDirVec.getValue()[0];
}
///////////////////////////////////////////////////////////////
// creation of the shiftVec thanks to the shift field
///////////////////////////////////////////////////////////////
vec3f dirShiftVector;
dirShiftVector.setValue(fNormal[1]*fDirVec.getValue()[2]-fNormal[2]*fDirVec.getValue()[1],
fNormal[2]*fDirVec.getValue()[0]-fNormal[0]*fDirVec.getValue()[2],
fNormal[0]*fDirVec.getValue()[1]-fNormal[1]*fDirVec.getValue()[0]);
// normalize vector to match the shift size
float param = 1.0f;
param = (float)std::sqrt((std::pow(fShift,2))/(
std::pow(dirShiftVector[0],2)+
std::pow(dirShiftVector[1],2)+
std::pow(dirShiftVector[2],2)));
fShiftVec = dirShiftVector*param;
// compute offset only if it was not given
if ((fOffset[0] == FLT_MAX) && (fOffset[1] == FLT_MAX) && (fOffset[2] == FLT_MAX)){
fOffset = listPoints[0]+fShiftVec*fOffsetValue;
}
}
/////////////////////////////////////////////
// START to compute
// We compute each line one by one to know witch hatch will be draw thrue this line
// we try to know the result of
// (origin_point_of_hatch)+i*(directionVector)+j*(shiftVector) = each_point_of_polyline
// We will be interest only on j factor for the moment. This factor represent the offset
// between the Origin point of the hatch and the compute point of the polyline
// We put results in a float table
//
// We also have to memorize the min and max number of the hatch to be draw
// Point 0 1 2 3 4 5 6 ...n 1
// hatchShiftToMatchPoint 5 7 2 6 7 8 5 ...2 5
// min = 1 max = 8 -> 8 hatch to draw
////////////////////////////////////////////
fHatchShiftToMatchPointVec.resize(numberOfPolylinePoints+1);
float minShiftHatch =FLT_MAX;
float maxShiftHatch =-FLT_MAX;
vec2f res;
for (int a=0;a<numberOfPolylinePoints;a++) {
res = resolve_system(fDirVec.getValue(),
fShiftVec,
listPoints[a]-fOffset);
// test result
if (fResolveResult ==0 ) {
fHatchShiftToMatchPointVec[a] = res[1];
if (res[1]>maxShiftHatch) {
maxShiftHatch = res[1];
}
if (res[1]<minShiftHatch) {
minShiftHatch = res[1];
}
}
else { // never done (should be test before)
delete [] listPoints;
return false;
}
}
// for the first point to close the polyline
fHatchShiftToMatchPointVec[numberOfPolylinePoints] = fHatchShiftToMatchPointVec[0];
fFirstNumHatch = (int)(ceilf(minShiftHatch));
fNumberHatchToDraw = (int)(floorf(maxShiftHatch)-fFirstNumHatch+1);
if ((int)(floorf(maxShiftHatch)-fFirstNumHatch+1) <0) fNumberHatchToDraw =0;
int moreNumberHatchToDraw = fNumberHatchToDraw+1;
std::vector<vec3f> listHatchStartPoint;
std::vector<vec3f> listHatchEndPoint;
std::vector<int> numberOfStartEndPointsVec;
fConflictNumHatchLineTab.resize(moreNumberHatchToDraw);
// initialize tab
for (int a=0;a<moreNumberHatchToDraw;a++) {
numberOfStartEndPointsVec.push_back(0);
listHatchStartPoint.push_back(vec3f(.0f,.0f,.0f));
listHatchEndPoint.push_back(vec3f(.0f,.0f,.0f));
fConflictNumHatchLineTab[a].clear();
}
/////////////////////////////////////////////
// Compute the normalize shift vector for all lines
// the normal Vector for point 3 to 4 will be listNormalvec[2]
/////////////////////////////////////////////
for (int a=0;a<numberOfPolylinePoints-1;a++) {
res = resolve_system(fDirVec.getValue(),
vec3f(listPoints[a].getValue()[0]-listPoints[a+1].getValue()[0],
listPoints[a].getValue()[1]-listPoints[a+1].getValue()[1],
listPoints[a].getValue()[2]-listPoints[a+1].getValue()[2]),
-fShiftVec);
if (fResolveResult ==0 ) {
listNormalVec.push_back(vec3f(res[1]*(listPoints[a+1].getValue()[0]-listPoints[a].getValue()[0]),
res[1]*(listPoints[a+1].getValue()[1]-listPoints[a].getValue()[1]),
res[1]*(listPoints[a+1].getValue()[2]-listPoints[a].getValue()[2])
));
}
else if (fResolveResult == RESOLVE_Z_ERROR ) { // never done (should be test before)
delete [] listPoints;
return false;
}
else{
listNormalVec.push_back(vec3f(FLT_MAX,FLT_MAX,FLT_MAX));
}
}
/////////////////////////////////////////////
// Compute the hatchShiftToMatchPointVec table to try to get the start
// and end point of each hatch
// if there is more than one start/end point, we will resolve it later. For the moment,
// we put confict points into a table
// HatchNumber 1 2 3 4 5 6 7 8 9
// listHatchStartPoint 1,0,0 1,1,0 0,0,1 0,1,0 1,1,0 0,2,0 1,1,4
// listHatchEndPoint ..............
// conflictNumHatchLineTab 5 6 7
// line Number is 0 for (point[0]->point[1])
// We put each line number into the conflict table to be sure to get all the lines
// in conflict. When we will thest the value of the conflicy table, it should
// be greater than 2 to have a conflict
/////////////////////////////////////////////
vec3f newPoint;
int minHatch;
int maxHatch;
int hatchIndice =0;
for (int indPolyline=0;indPolyline<numberOfPolylinePoints-1;indPolyline++) {
minHatch = (int)(ceilf(fHatchShiftToMatchPointVec[indPolyline]));
maxHatch = (int)(floorf(fHatchShiftToMatchPointVec[indPolyline+1]));
if (fHatchShiftToMatchPointVec[indPolyline+1] <fHatchShiftToMatchPointVec[indPolyline]) {
minHatch =(int)(ceilf(fHatchShiftToMatchPointVec[indPolyline+1]));
maxHatch = (int)(floorf(fHatchShiftToMatchPointVec[indPolyline]));
}
for (int b=minHatch;b<=maxHatch;b++) { // for all number of hatch fund
// compute new point
hatchIndice = b-fFirstNumHatch;
newPoint.setValue(listPoints[indPolyline].getValue()[0]+
listNormalVec[indPolyline][0]*(b-fHatchShiftToMatchPointVec[indPolyline]),
listPoints[indPolyline].getValue()[1]+
listNormalVec[indPolyline][1]*(b-fHatchShiftToMatchPointVec[indPolyline]),
listPoints[indPolyline].getValue()[2]+
listNormalVec[indPolyline][2]*(b-fHatchShiftToMatchPointVec[indPolyline]));
if (numberOfStartEndPointsVec[hatchIndice] == 0) {// it is the first point
//compute point and save it
// the start point will be :
// Point_of_the_line + normalVec *
//(number_of_hatch_to_compute - number_of_hatch_corresponding_to_first_point_of_line)
//
if ( (listNormalVec[indPolyline][0] != FLT_MAX)
&& (listNormalVec[indPolyline][1] != FLT_MAX)
&& (listNormalVec[indPolyline][2] != FLT_MAX)) {
listHatchStartPoint[hatchIndice] = vec3f(newPoint);
fConflictNumHatchLineTab[hatchIndice].push_back(indPolyline);
numberOfStartEndPointsVec[hatchIndice]++;
}
} else if (numberOfStartEndPointsVec[hatchIndice] == 1) { // it is the second point
//compute point and save it (same point as previous )
// the start point will be :
// Point_of_the_line + normalVec *
// (number_of_hatch_to_compute - number_of_hatch_corresponding_to_first_point_of_line)
// store only if newPoint is != start
if ((listNormalVec[indPolyline][0] != FLT_MAX)
&& (listNormalVec[indPolyline][1] != FLT_MAX)
&& (listNormalVec[indPolyline][2] != FLT_MAX)) {
listHatchEndPoint[hatchIndice] = vec3f(newPoint);
fConflictNumHatchLineTab[hatchIndice].push_back(indPolyline);
numberOfStartEndPointsVec[hatchIndice]++;
}
} else { // there is a conflict, we don't compute anything except for conflicts on points
// witch are already compute
// case of the hatch will be draw on a point of the polyline,
// so it match 2 lines + another
fConflictNumHatchLineTab[hatchIndice].push_back(indPolyline); // put the line number in conflict table
}
}
}
/////////////////////////////////////////////
// Compute the numHatchLine tab and draw correct points
/////////////////////////////////////////////
std::vector<float> listCoefDirHatch(fNumberHatchToDraw);
std::vector<vec3f> listConflictPoints(numberOfPolylinePoints);
vec3f ABVec,tempVec;
int valid =false;
bool drawEnabled = false; // true : we could draw second point, false we wait for the first
float temp=0;
int tempInt =0;
float nextPointConflictHatchNumber = -FLT_MAX;
float currentPointConflictHatchNumber = -FLT_MAX;
std::vector<unsigned int> orderConflictLineNumber;
for (unsigned int hatchNumber =0;hatchNumber<fNumberHatchToDraw;hatchNumber++) {
if ( fConflictNumHatchLineTab[hatchNumber].size() <= 2) {
if (!listHatchStartPoint[hatchNumber].equals(listHatchEndPoint[hatchNumber],FLT_EPSILON*FLT_EPSILON*10)) {
fPoints.push_back(listHatchStartPoint[hatchNumber]);
fPoints.push_back(listHatchEndPoint[hatchNumber]);
fVertices.push_back(2);
}
} else { // there is a conflict
// We read the conflict table and compute all the conflict lines
// conflict is on hatch number hatchNumber+ firstNumHatch
// Compute the equation on the conflict line (called ABVec ):
// i*dirVec - j*ABVec = A-(offset + shiftVec * numberHatchToDraw)
// and store the i parameter
// then we
listConflictPoints.clear();
listCoefDirHatch.clear();
std::vector <unsigned int> toRemove;
for (unsigned int conflictLineNumber=0;conflictLineNumber<fConflictNumHatchLineTab[hatchNumber].size();conflictLineNumber++ )
{
ABVec.setValue(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]+1].getValue()[0]-listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]].getValue()[0],
listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]+1].getValue()[1]-listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]].getValue()[1],
listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]+1].getValue()[2]-listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]].getValue()[2]);
res = resolve_system(fDirVec.getValue(),
ABVec,
vec3f(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]].getValue()[0]-fOffset[0]-((float)hatchNumber+(float)fFirstNumHatch)*fShiftVec[0],
listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]].getValue()[1]-fOffset[1]-((float)hatchNumber+(float)fFirstNumHatch)*fShiftVec[1],
listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]].getValue()[2]-fOffset[2]-((float)hatchNumber+(float)fFirstNumHatch)*fShiftVec[2]));
if (fResolveResult ==0 ) {
// we store results
listCoefDirHatch.push_back(2);
listCoefDirHatch.pop_back();
listCoefDirHatch.push_back(res[0]);
res[1] = -res[1];
listConflictPoints.push_back(vec3f(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictLineNumber]]+ABVec*res[1]));
}
else if (fResolveResult != RESOLVE_COLINEAR){
precisionError++;
} else {
toRemove.push_back(conflictLineNumber);
}
}
if (toRemove.size()) {
for (unsigned int conflictLineNumber=0;conflictLineNumber<fConflictNumHatchLineTab[hatchNumber].size();conflictLineNumber++ ) {
}
// remove potential colinear problems
for (unsigned int aa=0;aa<toRemove.size();aa++) {
unsigned int ind = 0;
for (std::vector<int>::iterator it = fConflictNumHatchLineTab[hatchNumber].begin();it !=fConflictNumHatchLineTab[hatchNumber].end();it++) {
if (ind == toRemove[aa]) {
fConflictNumHatchLineTab[hatchNumber].erase(it);
break;
}
ind++;
}
}
for (unsigned int conflictLineNumber=0;conflictLineNumber<fConflictNumHatchLineTab[hatchNumber].size();conflictLineNumber++ ) {
}
}
if (listCoefDirHatch.size() != 0) { // all points are resolve_system errors (RESOLVE_COLINEAR or RESOLVE_Z_ERROR
// now, we have to sort all coef dir from minus to max
// and at the same time, reorder the conflict ponts and the conflict line number
// this algorithm is not optimum...
valid = false;
while (valid ==false )
{
valid = true;
for (unsigned int sort =0;sort< listCoefDirHatch.size()-1;sort++)
{
if (listCoefDirHatch[sort]>listCoefDirHatch[sort+1]) {
temp = listCoefDirHatch[sort];
listCoefDirHatch[sort] = listCoefDirHatch[sort+1];
listCoefDirHatch[sort+1] =temp;
tempVec = listConflictPoints[sort];
listConflictPoints[sort] = listConflictPoints[sort+1];
listConflictPoints[sort+1] = tempVec;
tempInt = fConflictNumHatchLineTab[hatchNumber][sort];
fConflictNumHatchLineTab[hatchNumber][sort] = fConflictNumHatchLineTab[hatchNumber][sort+1];
fConflictNumHatchLineTab[hatchNumber][sort+1] = tempInt;
valid= false;
}
}
}
// once dir coef have been sort, we could draw lines !!
//witch line had made a conflict ??? conflictNumHatchLineTab[a]
unsigned int conflictNumber =0;
orderConflictLineNumber.clear();
drawEnabled = false;
while (conflictNumber < fConflictNumHatchLineTab[hatchNumber].size()) { // while
if (conflictNumber+1 == fConflictNumHatchLineTab[hatchNumber].size()) {
if(drawEnabled) {
drawEnabled = false;
fPoints.push_back(listConflictPoints[conflictNumber].getValue());
orderConflictLineNumber.push_back(fConflictNumHatchLineTab[hatchNumber][conflictNumber]);
}
}
else {
// if the conflict point == next conflict point : that is a end/begin line conflict
// else, this is not a big problem, we just have to invert the drawEnabled
// (if we were drawing, we have to finish a line, else, we have to begin a line
if ( !(listConflictPoints[conflictNumber].equals(listConflictPoints[conflictNumber+1],FLT_EPSILON*FLT_EPSILON*10))) {
// special case of nextPointline=nextConflict point : hatch//line
unsigned int follow=conflictNumber+1;
bool overContour = false;
while ((follow <fConflictNumHatchLineTab[hatchNumber].size()) &&
(listConflictPoints[conflictNumber].equals(listConflictPoints[follow],FLT_EPSILON*FLT_EPSILON*10))) {
follow++;
}
//test if next point is on the contour
if(follow < fConflictNumHatchLineTab[hatchNumber].size()) {
if ((listConflictPoints[follow].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][follow]].getValue(),FLT_EPSILON*FLT_EPSILON*10))) {
if ((fConflictNumHatchLineTab[hatchNumber][follow] != 0) &&
(fConflictNumHatchLineTab[hatchNumber][follow] != numberOfPolylinePoints-1)) {
if ((listConflictPoints[conflictNumber].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][follow]-1].getValue(),FLT_EPSILON*FLT_EPSILON*10)) ||
(listConflictPoints[conflictNumber].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][follow]+1].getValue(),FLT_EPSILON*FLT_EPSILON*10))) {
overContour = true;
}
}
}
}
int previous=conflictNumber-1;
while ((previous >=0) &&
(listConflictPoints[conflictNumber].equals(listConflictPoints[previous],FLT_EPSILON*FLT_EPSILON*10))) {
previous--;
}
//test if next point is on the contour
if(previous >= 0) {
if ((listConflictPoints[conflictNumber].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictNumber]].getValue(),FLT_EPSILON*FLT_EPSILON*10))) {
if ((listConflictPoints[previous].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictNumber]-1].getValue(),FLT_EPSILON*FLT_EPSILON*10)) ||
(listConflictPoints[previous].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictNumber]+1].getValue(),FLT_EPSILON*FLT_EPSILON*10))) {
overContour = true;
}
}
}
if (!overContour) { // we are not on a contour, we can draw
fPoints.push_back(listConflictPoints[conflictNumber].getValue());
orderConflictLineNumber.push_back(fConflictNumHatchLineTab[hatchNumber][conflictNumber]);
drawEnabled = drawEnabled?false:true;
if (drawEnabled) {
fVertices.push_back(2);
}
} else { // else we have to stop drawing
if (drawEnabled) {
fPoints.push_back(listConflictPoints[conflictNumber].getValue());
orderConflictLineNumber.push_back(fConflictNumHatchLineTab[hatchNumber][conflictNumber]);
drawEnabled = false;
}
}
}
else { // next point == current
bool currentPointCrossLine = false;
bool nextPointCrossLine = false;
// if the conflict is on a line point, we have to look the hatch number
// of the previous and next point to see if the hatch had to be draw or not
// test if conflictPoint == first line point
if (listConflictPoints[conflictNumber].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictNumber]].getValue(),FLT_EPSILON*FLT_EPSILON*10)) {
// we look second point hatchNumber
currentPointConflictHatchNumber = fHatchShiftToMatchPointVec[fConflictNumHatchLineTab[hatchNumber][conflictNumber]+1];
}
else if (listConflictPoints[conflictNumber].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictNumber]+1].getValue(),FLT_EPSILON*FLT_EPSILON*10)) {
// we look first point hatchNumber
currentPointConflictHatchNumber = fHatchShiftToMatchPointVec[fConflictNumHatchLineTab[hatchNumber][conflictNumber]];
}
else { // case of two lines have intersection point on a hatch
// it is the same case as a "end of line" and a "begin of line" conflict
currentPointCrossLine = true;
currentPointConflictHatchNumber =-1 ;
}
// test if conflictPoint == second line point
if (listConflictPoints[conflictNumber+1].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictNumber+1]].getValue(),FLT_EPSILON*FLT_EPSILON*10)) {
// we look second point hatchNumber
nextPointConflictHatchNumber = fHatchShiftToMatchPointVec[fConflictNumHatchLineTab[hatchNumber][conflictNumber+1]+1];
}
else if (listConflictPoints[conflictNumber+1].equals(listPoints[fConflictNumHatchLineTab[hatchNumber][conflictNumber+1]+1].getValue(),FLT_EPSILON*FLT_EPSILON*10)) {
// we look first point hatchNumber
nextPointConflictHatchNumber = fHatchShiftToMatchPointVec[fConflictNumHatchLineTab[hatchNumber][conflictNumber+1]];
}
else { // case of two lines have intersection point on a hatch
// it is the same case as a "end of line" and a "begin of line" conflict
nextPointConflictHatchNumber = -1;
nextPointCrossLine = true;
}
// we have to compute the currentPointConflictHatchNumber and
// nextPointConflictHatchNumber
// if they are all the same side of the hatch, we have to ignore points
// else, we have to draw a line
if (currentPointCrossLine && nextPointCrossLine) {
// do not draw anything, this is the case of a hatch crossing
// two identical line
}
// case of two points on conflict on a contour point where nothing has to be draw
else if ((!currentPointCrossLine && !nextPointCrossLine) && (currentPointConflictHatchNumber == nextPointConflictHatchNumber) && (currentPointConflictHatchNumber == fHatchShiftToMatchPointVec[fConflictNumHatchLineTab[hatchNumber][conflictNumber]])) {
if (drawEnabled) {
fPoints.push_back(listConflictPoints[conflictNumber].getValue());
orderConflictLineNumber.push_back(fConflictNumHatchLineTab[hatchNumber][conflictNumber]);
drawEnabled = false;
}
}
// we draw
else if( ( (currentPointConflictHatchNumber -
fHatchShiftToMatchPointVec[fConflictNumHatchLineTab[hatchNumber][conflictNumber]]) *
(nextPointConflictHatchNumber -
fHatchShiftToMatchPointVec[fConflictNumHatchLineTab[hatchNumber][conflictNumber]]))
<=FLT_EPSILON) {
// try to see if we are trying to draw a hatch OVER a contour
unsigned int follow=conflictNumber+1;
bool overContour = false;
while ((follow <fConflictNumHatchLineTab[hatchNumber].size()) &&
(listConflictPoints[conflictNumber].equals(listConflictPoints[follow],FLT_EPSILON*FLT_EPSILON*10))) {
follow++;
}
if(follow < fConflictNumHatchLineTab[hatchNumber].size()) {
float alpha = 0;
bool findAlpha = true;
if (listConflictPoints[follow][0] != listConflictPoints[conflictNumber][0]) {
alpha = (listPoints[fConflictNumHatchLineTab[hatchNumber][follow]][0]-listConflictPoints[conflictNumber][0])/(listConflictPoints[follow][0]-listConflictPoints[conflictNumber][0]);
}
else if (listConflictPoints[follow][1] != listConflictPoints[conflictNumber][1]) {
alpha = (listPoints[fConflictNumHatchLineTab[hatchNumber][follow]][1]-listConflictPoints[conflictNumber][1])/(listConflictPoints[follow][1]-listConflictPoints[conflictNumber][1]);
}
else if (listConflictPoints[follow][2] != listConflictPoints[conflictNumber][2]) {
alpha = (listPoints[fConflictNumHatchLineTab[hatchNumber][follow]][2]-listConflictPoints[conflictNumber][2])/(listConflictPoints[follow][2]-listConflictPoints[conflictNumber][2]);
}
else {
findAlpha =false;
}
if (findAlpha) {
if ((alpha*(listConflictPoints[follow]-listConflictPoints[conflictNumber])).equals(listPoints[fConflictNumHatchLineTab[hatchNumber][follow]]-listConflictPoints[conflictNumber],FLT_EPSILON*FLT_EPSILON*10)) {
overContour = true;
}
}
}
if (!overContour) { // if we are not on a contour, no problem
fPoints.push_back(listConflictPoints[conflictNumber].getValue());
orderConflictLineNumber.push_back(fConflictNumHatchLineTab[hatchNumber][conflictNumber]);
drawEnabled = drawEnabled?false:true;
if (drawEnabled) {
fVertices.push_back(2);
}
} else { // else we have to stop drawing
if (drawEnabled) {
fPoints.push_back(listConflictPoints[conflictNumber].getValue());
orderConflictLineNumber.push_back(fConflictNumHatchLineTab[hatchNumber][conflictNumber]);
drawEnabled = false;
}
}
}
conflictNumber ++;
} // end next== current
}
conflictNumber ++;
} // end while
if (drawEnabled) {
fPoints.push_back(fPoints[fPoints.size()-1]);
}
//re put the order conflictNumHatchLineTab witch could be use by stripWidth
fConflictNumHatchLineTab[hatchNumber].clear();
for(unsigned int a=0;a<orderConflictLineNumber.size();a++) {
fConflictNumHatchLineTab[hatchNumber].push_back(orderConflictLineNumber[a]);}
// test if it is correct
} // end resolve system errors
} // end conflict
}
if (fPoints.size() >0){
if (precisionError == 0){
delete [] listPoints;
return true;
}
else {
delete [] listPoints;
return false;
}
}
delete [] listPoints;
return true;
}
//////////////////////////////////////////////////////////////////////////////
// Compute a vector system equation aA+bB=C
// return vec2f(0,0) if there is an error
// set the resolveResult variable to the error code :
// COLINEAR if A and B are
// PRECISION_ERROR if there is a lack of precision in computing
// Z_ERROR if there s no solution for Z
// UNDEFINED never throw
// return a vec2f for result. a is 'x' value and b is 'y' if it is correct
//////////////////////////////////////////////////////////////////////////////
inline vec2f hatcher::resolve_system(const vec3f& A,const vec3f& B,const vec3f& C) {
fResolveResult = RESOLVE_UNDEFINED;
double Ax = A[0];
double Ay = A[1];
double Az = A[2];
double Bx = B[0];
double By = B[1];
double Bz = B[2];
double Cx = C[0];
double Cy = C[1];
double Cz = C[2];
double bDiv = (By*Ax-Ay*Bx);
if (ffabs(float(bDiv)) <=FLT_EPSILON) {
// we have to test in a other order
double tmp;
tmp = Ax; Ax = Ay; Ay = Az; Az = tmp;
tmp = Bx; Bx = By; By = Bz; Bz = tmp;
tmp = Cx; Cx = Cy; Cy = Cz; Cz = tmp;
bDiv = (By*Ax-Ay*Bx);
if (ffabs(float(bDiv)) <=FLT_EPSILON) {
// we have to test in a other order
tmp = Ax; Ax = Ay; Ay = Az; Az = tmp;
tmp = Bx; Bx = By; By = Bz; Bz = tmp;
tmp = Cx; Cx = Cy; Cy = Cz; Cz = tmp;
bDiv = (By*Ax-Ay*Bx);
if (ffabs(float(bDiv)) <=FLT_EPSILON) {
fResolveResult = RESOLVE_COLINEAR;
return vec2f(0,0);
}
}
}
double b= (Cy*Ax-Ay*Cx)/bDiv;
double a= -(Cy*Bx-By*Cx)/bDiv;
double bid = ffabs(float(a*Az+b*Bz - Cz));
if (bid <= FLT_EPSILON) {
fResolveResult = RESOLVE_OK;
return vec2f((float)a,(float)b);
}
else {
double minBoxValue = 1;
double minXValue =FLT_MAX;
double minYValue =FLT_MAX;
double minZValue =FLT_MAX;
if ((A[0] !=0) && ((A[0]) <minXValue)) minXValue = (A[0]);
if ((B[0] !=0) && ((B[0]) <minXValue)) minXValue = (B[0]);
if ((C[0] !=0) && ((C[0]) <minXValue)) minXValue = (C[0]);
if ((A[1] !=0) && ((A[1]) <minYValue)) minYValue = (A[1]);
if ((B[1] !=0) && ((B[1]) <minYValue)) minYValue = (B[1]);
if ((C[1] !=0) && ((C[1]) <minYValue)) minYValue = (C[1]);
if ((A[2] !=0) && ((A[2]) <minZValue)) minZValue = (A[2]);
if ((B[2] !=0) && ((B[2]) <minZValue)) minZValue = (B[2]);
if ((C[2] !=0) && ((C[2]) <minZValue)) minZValue = (C[2]);
double maxXValue =-FLT_MAX;
double maxYValue =-FLT_MAX;
double maxZValue =-FLT_MAX;
if ((A[0] !=0) && ((A[0]) >maxXValue)) maxXValue = (A[0]);
if ((B[0] !=0) && ((B[0]) >maxXValue)) maxXValue = (B[0]);
if ((C[0] !=0) && ((C[0]) >maxXValue)) maxXValue = (C[0]);
if ((A[1] !=0) && ((A[1]) >maxYValue)) maxYValue = (A[1]);
if ((B[1] !=0) && ((B[1]) >maxYValue)) maxYValue = (B[1]);
if ((C[1] !=0) && ((C[1]) >maxYValue)) maxYValue = (C[1]);
if ((A[2] !=0) && ((A[2]) >maxZValue)) maxZValue = (A[2]);
if ((B[2] !=0) && ((B[2]) >maxZValue)) maxZValue = (B[2]);
if ((C[2] !=0) && ((C[2]) >maxZValue)) maxZValue = (C[2]);
if (((maxXValue-minXValue) <= (maxYValue-minYValue)) && ((maxXValue-minXValue) <= (maxZValue-minZValue))) { minBoxValue = maxXValue-minXValue; }
else
if (((maxYValue-minYValue) <= (maxXValue-minXValue)) && ((maxYValue-minYValue) <= (maxZValue-minZValue))) { minBoxValue = maxYValue-minYValue; }
else
{ minBoxValue = maxZValue-minZValue; }
minBoxValue *= fPrecisionFactor;
if (bid <= minBoxValue) {
fResolveResult = RESOLVE_OK;
return vec2f((float)a,(float)b);
}
else {
if (bid>100*minBoxValue) {
fResolveResult = RESOLVE_Z_ERROR;
}
else
{
fResolveResult = RESOLVE_PRECISION_ERROR;
}
}
}
return vec2f(0,0);
}
}