Add matrix.

Add quad generation from shape nodes.

README.md

@@ -9,6 +9,17 @@ I was inspired by Jimmy Gunawan's blogs of monster generation, here is the first
 of 3D Articulated Shapes](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.357.7134&rep=rep1&type=pdf)(Authors: Zhongping Ji, Ligang Liu, Yigang Wang). I started to think of monster model generation for game development from years ago, thanks for this paper, Dust3D is achievable now.  
 From my initial thought, Dust3D should be a tool like [Makehuman](http://www.makehuman.org), with more versatile features, not only can make human, but also be able to **generate monsters automatically**.  
 
+Build
+============
+*Generate Xcode Project*  
+```
+$ qmake -spec macx-xcode
+```
+*Generate Makefile*
+```
+$ qmake
+```
+
 TODO & Progress
 ==============
 - [x] Drawing Primitives (Dec 15, 2016 ~ Dec 17, 2016)   
@@ -35,6 +46,9 @@ I created the test nodes's geometry information from Blender. Here is the render
 <img src="screenshot/dust3d_bmesh_nodes.png" width="206" height="164">  
 *Generate Inbetween Nodes*  
 <img src="screenshot/dust3d_bmesh_skeleton.png" width="124" height="128">  <img src="screenshot/dust3d_bmesh_inbetween.png" width="124" height="128">  
+*Generate Mesh*  
+<img src="screenshot/dust3d_generate_quad.png" width="124" height="128">  
+When I am implementing the B-Mesh algorithm, I am also think in the future, how to create a library of bunch of initial base models. There is a paper [the Skeleton of a Closed 3D Shape](http://www1.idc.ac.il/icgf/GraphicsSeminar2006/DCGskeleton06.pdf) described how to generate skeleton from mesh, this is the reverse progress of what I am doing, I think it can resolve the problem of insufficient initial base models, I can generate from tons of existed models.
 - [ ] Export Wavefront .obj  
 - [ ] Render B-Mesh result  
 - [ ] Design UI for monster parts configuration  
@@ -43,3 +57,4 @@ I created the test nodes's geometry information from Blender. Here is the render
 - [ ] png exporter for isometric 2.5D game  
 - [ ] Version 0.01 release  
 - [ ] Materials merge of different parts     
+- [ ] Implement [the Skeleton of a Closed 3D Shape](http://www1.idc.ac.il/icgf/GraphicsSeminar2006/DCGskeleton06.pdf)  

src/bmesh.c

@@ -2,8 +2,10 @@
 #include <stdlib.h>
 #include <string.h>
 #include <assert.h>
+#include <math.h>
 #include "bmesh.h"
 #include "array.h"
+#include "matrix.h"
 
 typedef struct bmeshNodeIndex {
   int nodeIndex;
@@ -14,6 +16,7 @@ struct bmesh {
   array *nodeArray;
   array *edgeArray;
   array *indexArray;
+  array *quadArray;
   int rootNodeIndex;
   int roundColor;
 };
@@ -42,6 +45,12 @@ bmesh *bmeshCreate(void) {
     bmeshDestroy(bm);
     return 0;
   }
+  bm->quadArray = arrayCreate(sizeof(quad));
+  if (!bm->quadArray) {
+    fprintf(stderr, "%s:arrayCreate quad failed.\n", __FUNCTION__);
+    bmeshDestroy(bm);
+    return 0;
+  }
   bm->rootNodeIndex = -1;
   bm->roundColor = 0;
   return bm;
@@ -51,6 +60,7 @@ void bmeshDestroy(bmesh *bm) {
   arrayDestroy(bm->nodeArray);
   arrayDestroy(bm->edgeArray);
   arrayDestroy(bm->indexArray);
+  arrayDestroy(bm->quadArray);
   free(bm);
 }
 
@@ -145,19 +155,95 @@ static int bmeshAddInbetweenNodeBetween(bmesh *bm,
   return newNode.index;
 }
 
+static void floatsToQuad(float *floats, quad *q) {
+  int i;
+  int offset = 0;
+  for (i = 0; i < 4; ++i) {
+    q->pt[i].x = floats[offset++];
+    q->pt[i].y = floats[offset++];
+    q->pt[i].z = floats[offset++];
+  }
+}
+
+static int bmeshGenerateNodeQuad(bmesh *bm, bmeshNode *node,
+    matrix *matRotate, int connectWithQuad) {
+  quad q;
+  matrix matTranslate;
+  matrix matFinal;
+  int i;
+  float floats[4][3] = {
+    {-node->radius, +node->radius, 0},
+    {-node->radius, -node->radius, 0},
+    {+node->radius, -node->radius, 0},
+    {+node->radius, +node->radius, 0},
+  };
+  matrixTranslate(&matTranslate, node->position.x, node->position.y,
+    node->position.z);
+  matrixLoadIdentity(&matFinal);
+  matrixAppend(&matFinal, &matTranslate);
+  matrixAppend(&matFinal, matRotate);
+  matrixTransformVector(&matFinal, floats[0]);
+  matrixTransformVector(&matFinal, floats[1]);
+  matrixTransformVector(&matFinal, floats[2]);
+  matrixTransformVector(&matFinal, floats[3]);
+  floatsToQuad(&floats[0][0], &q);
+  if (-1 == bmeshAddQuad(bm, &q)) {
+    fprintf(stderr, "%s:meshAddQuad failed.\n", __FUNCTION__);
+    return -1;
+  }
+  if (connectWithQuad >= 0) {
+    for (i = 0; i < 4; ++i) {
+      quad face;
+      quad *lastQ = bmeshGetQuad(bm, connectWithQuad);
+      face.pt[0].x = lastQ->pt[(0 + i) % 4].x;
+      face.pt[0].y = lastQ->pt[(0 + i) % 4].y;
+      face.pt[0].z = lastQ->pt[(0 + i) % 4].z;
+      face.pt[1].x = q.pt[(0 + i) % 4].x;
+      face.pt[1].y = q.pt[(0 + i) % 4].y;
+      face.pt[1].z = q.pt[(0 + i) % 4].z;
+      face.pt[2].x = q.pt[(1 + i) % 4].x;
+      face.pt[2].y = q.pt[(1 + i) % 4].y;
+      face.pt[2].z = q.pt[(1 + i) % 4].z;
+      face.pt[3].x = lastQ->pt[(1 + i) % 4].x;
+      face.pt[3].y = lastQ->pt[(1 + i) % 4].y;
+      face.pt[3].z = lastQ->pt[(1 + i) % 4].z;
+      if (-1 == bmeshAddQuad(bm, &face)) {
+        fprintf(stderr, "%s:meshAddQuad failed.\n", __FUNCTION__);
+        return -1;
+      }
+    }
+  }
+  return 0;
+}
+
 static int bmeshGenerateInbetweenNodesBetween(bmesh *bm,
       int firstNodeIndex, int secondNodeIndex) {
   float step = 0.5;
   float distance;
   int parentNodeIndex = firstNodeIndex;
+  float rotateAngle = 0;
+  vec3 rotateAround = {0, 0, 0};
+  vec3 p;
+  vec3 zAxis = {0, 0, 1};
+  matrix matRotate;
+  int lastQuadIndex = -1;
+  
   bmeshNode *firstNode = bmeshGetNode(bm, firstNodeIndex);
   bmeshNode *secondNode = bmeshGetNode(bm, secondNodeIndex);
+  bmeshNode *newNode;
   if (secondNode->roundColor == bm->roundColor) {
     return 0;
   }
-  distance = vec3Distance(&firstNode->position, &secondNode->position);
+  vec3Sub(&firstNode->position, &secondNode->position, &p);
+  vec3CrossProduct(&zAxis, &p, &rotateAround);
+  vec3Normalize(&rotateAround);
+  
+  distance = vec3Length(&p);
   if (distance > 0) {
     float offset = step;
+    rotateAngle = 180 / M_PI * acos(vec3DotProduct(&zAxis, &p) / distance);
+    matrixRotate(&matRotate,
+      rotateAngle, rotateAround.x, rotateAround.y, rotateAround.z);
     if (offset + step <= distance) {
       while (offset + step <= distance) {
         float frac = offset / distance;
@@ -166,14 +252,23 @@ static int bmeshGenerateInbetweenNodesBetween(bmesh *bm,
         if (-1 == parentNodeIndex) {
           return -1;
         }
+        newNode = bmeshGetNode(bm, parentNodeIndex);
+        bmeshGenerateNodeQuad(bm, newNode, &matRotate,
+          lastQuadIndex);
+        lastQuadIndex = -1 == lastQuadIndex ? bmeshGetQuadNum(bm) - 1 :
+          bmeshGetQuadNum(bm) - 5;
         offset += step;
       }
     } else if (distance > step) {
-      parentNodeIndex = bmeshAddInbetweenNodeBetween(bm, firstNode, secondNode, 0.5,
+      parentNodeIndex = bmeshAddInbetweenNodeBetween(bm, firstNode, secondNode,
-        parentNodeIndex);
+        0.5, parentNodeIndex);
       if (-1 == parentNodeIndex) {
         return -1;
       }
+      newNode = bmeshGetNode(bm, parentNodeIndex);
+      bmeshGenerateNodeQuad(bm, newNode, &matRotate, lastQuadIndex);
+      lastQuadIndex = -1 == lastQuadIndex ? bmeshGetQuadNum(bm) - 1 :
+          bmeshGetQuadNum(bm) - 5;
     }
   }
   if (-1 == bmeshAddChildNodeRelation(bm, parentNodeIndex, secondNodeIndex)) {
@@ -256,3 +351,23 @@ int bmeshGenerateInbetweenNodes(bmesh *bm) {
   bm->roundColor++;
   return bmeshGenerateInbetweenNodesFrom(bm, bm->rootNodeIndex);
 }
+
+int bmeshGetQuadNum(bmesh *bm) {
+  return arrayGetLength(bm->quadArray);
+}
+
+quad *bmeshGetQuad(bmesh *bm, int index) {
+  return (quad *)arrayGetItem(bm->quadArray, index);
+}
+
+int bmeshAddQuad(bmesh *bm, quad *q) {
+  int index = arrayGetLength(bm->quadArray);
+  if (0 != arraySetLength(bm->quadArray, index + 1)) {
+    fprintf(stderr, "%s:arraySetLength failed.\n", __FUNCTION__);
+    return -1;
+  }
+  memcpy(arrayGetItem(bm->quadArray, index), q, sizeof(quad));
+  return index;
+}
+
+

src/bmesh.h

@@ -1,6 +1,7 @@
 #ifndef B_MESH_H
 #define B_MESH_H
 #include "vector3d.h"
+#include "draw.h"
 
 #ifdef __cplusplus
 extern "C" {
@@ -41,6 +42,9 @@ int bmeshAddEdge(bmesh *bm, bmeshEdge *edge);
 int bmeshGenerateInbetweenNodes(bmesh *bm);
 int bmeshGetNodeNextChild(bmesh *bm, bmeshNode *node, int *childIndex);
 bmeshNode *bmeshGetRootNode(bmesh *bm);
+int bmeshGetQuadNum(bmesh *bm);
+quad *bmeshGetQuad(bmesh *bm, int index);
+int bmeshAddQuad(bmesh *bm, quad *q);
 
 #ifdef __cplusplus
 }

src/draw.cpp

@@ -49,6 +49,7 @@ int drawCylinder(vec3 *topOrigin, vec3 *bottomOrigin, float radius, int slices,
 
   vec3Sub(topOrigin, bottomOrigin, &p);
   vec3CrossProduct(&zAxis, &p, &t);
+  vec3Normalize(&t);
   height = vec3Length(&p);
   if (height > 0) {
     angle = 180 / M_PI * acos(vec3DotProduct(&zAxis, &p) / height);

src/draw.h

@@ -17,7 +17,7 @@ typedef struct {
 
 typedef struct {
   vec3 pt[4];
-} quard;
+} quad;
 
 typedef struct {
   int npoly;

src/matrix.c

@@ -21,6 +21,42 @@ matrix *matrixTranslate(matrix *mat, float x, float y, float z) {
   return mat;
 }
 
+//
+// matrixRotate modified from http://www.gamedev.net/topic/600537-instead-of-glrotatef-build-a-matrix/
+//
+
+matrix *matrixRotate(matrix *mat, float degree, float x, float y, float z) {
+  float c;
+  float s;
+  float length;
+  
+  matrixLoadIdentity(mat);
+  
+  if (degree <= 0) {
+    return mat;
+  }
+  
+  length = sqrt(x * x + y * y + z * z);
+  
+  c = cos(degree * DEG2RAD);
+  s = sin(degree * DEG2RAD);
+  
+  mat->data[0] = x * x * (1 - c) + c;
+	mat->data[4] = x * y * (1 - c) - z * s;
+	mat->data[8] = x * z * (1 - c) + y * s;
+
+	mat->data[1] = y * x * (1 - c) + z * s;
+	mat->data[5] = y * y * (1 - c) + c;
+	mat->data[9] = y * z * (1 - c) - x * s;
+
+	mat->data[2] = x * z * (1 - c) - y * s;
+	mat->data[6] = y * z * (1 - c) + x * s;
+	mat->data[10] = z * z * (1 - c) + c;
+  
+  return mat;
+
+}
+
 matrix *matrixRotateX(matrix *mat, float degree) {
   float c;
   float s;

src/matrix.h

@@ -1,6 +1,10 @@
 #ifndef __MATRIX_H__
 #define __MATRIX_H__
 
+#ifdef __cplusplus
+extern "C" {
+#endif
+
 // Modified from http://wiki.unity3d.com/index.php?title=Matrix
 
 typedef struct matrix {
@@ -12,8 +16,13 @@ matrix *matrixTranslate(matrix *mat, float x, float y, float z);
 matrix *matrixRotateX(matrix *mat, float degree);
 matrix *matrixRotateY(matrix *mat, float degree);
 matrix *matrixRotateZ(matrix *mat, float degree);
+matrix *matrixRotate(matrix *mat, float degree, float x, float y, float z);
 matrix *matrixScale(matrix *mat, float x, float y, float z);
 float *matrixTransformVector(matrix *mat, float *vec);
 matrix *matrixAppend(matrix *mat, matrix *matB);
 
+#ifdef __cplusplus
+}
+#endif
+
 #endif

src/render.cpp

@@ -26,7 +26,6 @@ static int drawBmeshNode(bmesh *bm, bmeshNode *node) {
 static void drawBmeshNodeRecursively(bmesh *bm, bmeshNode *node) {
   int childIndex = node->firstChildIndex;
   int childNodeIndex;
-
   drawBmeshNode(bm, node);
   while (-1 != childIndex) {
     childNodeIndex = bmeshGetNodeNextChild(bm, node, &childIndex);
@@ -37,6 +36,62 @@ static void drawBmeshNodeRecursively(bmesh *bm, bmeshNode *node) {
   }
 }
 
+static void drawBmeshNodeQuardRecursively(bmesh *bm, bmeshNode *node) {
+  int childIndex = node->firstChildIndex;
+  int childNodeIndex;
+  
+  /*
+  matrix matTmp;
+  matrix matCalc;
+  float quad[4][3] = {
+    {-node->radius, +node->radius, 0},
+    {-node->radius, -node->radius, 0},
+    {+node->radius, -node->radius, 0},
+    {+node->radius, +node->radius, 0},
+  };
+  matrixLoadIdentity(&matCalc);
+  matrixAppend(&matCalc,
+    matrixTranslate(&matTmp, node->position.x, node->position.y,
+      node->position.z));
+  matrixAppend(&matCalc,
+    matrixRotate(&matTmp,
+      node->rotateAngle, node->rotateAround.x, node->rotateAround.y,
+      node->rotateAround.z));
+  matrixTransformVector(&matCalc, quad[0]);
+  matrixTransformVector(&matCalc, quad[1]);
+  matrixTransformVector(&matCalc, quad[2]);
+  matrixTransformVector(&matCalc, quad[3]);
+  
+  glVertex3fv(quad[0]);
+  glVertex3fv(quad[1]);
+  glVertex3fv(quad[2]);
+  glVertex3fv(quad[3]);
+  */
+
+  /*
+  glPushMatrix();
+  glTranslatef(node->position.x, node->position.y,
+    node->position.z);
+  glRotatef(node->rotateAngle, node->rotateAround.x, node->rotateAround.y,
+    node->rotateAround.z);
+  glBegin(GL_QUADS);
+    glVertex3f(-node->radius, +node->radius, 0);
+    glVertex3f(-node->radius, -node->radius, 0);
+    glVertex3f(+node->radius, -node->radius, 0);
+    glVertex3f(+node->radius, +node->radius, 0);
+  glEnd();
+  glPopMatrix();
+  */
+  
+  while (-1 != childIndex) {
+    childNodeIndex = bmeshGetNodeNextChild(bm, node, &childIndex);
+    if (-1 == childNodeIndex) {
+      break;
+    }
+    drawBmeshNodeQuardRecursively(bm, bmeshGetNode(bm, childNodeIndex));
+  }
+}
+
 static int drawBmeshEdge(bmesh *bm, bmeshEdge *edge) {
   glColor3fv(bmeshEdgeColor);
   bmeshNode *firstNode = bmeshGetNode(bm, edge->firstNodeIndex);
@@ -83,6 +138,8 @@ void Render::initializeGL() {
   glClearStencil(0);
   glClearDepth(1.0f);
   
+  glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
+
   GLfloat ambientLight[] = {0.0f, 0.0f, 0.0f, 1.0f};
   GLfloat diffuseLight[] = {0.9f, 0.9f, 0.9f, 1.0f};
   GLfloat specularLight[] = {1, 1, 1, 1};
@@ -157,6 +214,10 @@ void Render::paintGL() {
 
   drawBmeshNodeRecursively(bm, bmeshGetRootNode(bm));
   
+  //glBegin(GL_QUADS);
+  //drawBmeshNodeQuardRecursively(bm, bmeshGetRootNode(bm));
+  //glEnd();
+
   {
     int index;
     /*
@@ -168,6 +229,30 @@ void Render::paintGL() {
       bmeshEdge *edge = bmeshGetEdge(bm, index);
       drawBmeshEdge(bm, edge);
     }
+    glColor4f(1.0f, 1.0f, 1.0f, 0.5);
+    glBegin(GL_QUADS);
+    for (index = 0; index < bmeshGetQuadNum(bm); ++index) {
+      quad *q = bmeshGetQuad(bm, index);
+      vec3 normal;
+      int j;
+      vec3Normal(&q->pt[0], &q->pt[1], &q->pt[2], &normal);
+      for (j = 0; j < 4; ++j) {
+        glNormal3f(normal.x, normal.y, normal.z);
+        glVertex3f(q->pt[j].x, q->pt[j].y, q->pt[j].z);
+      }
+    }
+    glEnd();
+    glColor3f(0.0f, 0.0f, 0.0f);
+    for (index = 0; index < bmeshGetQuadNum(bm); ++index) {
+      quad *q = bmeshGetQuad(bm, index);
+      int j;
+      glBegin(GL_LINE_STRIP);
+      for (j = 0; j < 4; ++j) {
+        glVertex3f(q->pt[j].x, q->pt[j].y, q->pt[j].z);
+      }
+      glVertex3f(q->pt[0].x, q->pt[0].y, q->pt[0].z);
+      glEnd();
+    }
   }
 
   glPopMatrix();

src/vector3d.c

@@ -49,3 +49,25 @@ float vec3Distance(vec3 *a, vec3 *b) {
   vec3Sub(a, b, &p);
   return vec3Length(&p);
 }
+
+void vec3Normal(vec3 *a, vec3 *b, vec3 *c, vec3 *normal) {
+  float v1[3], v2[3], vr[3], val;
+  
+  v1[0] = a->x - b->x;
+  v1[1] = a->y - b->y;
+  v1[2] = a->z - b->z;
+
+  v2[0] = a->x - c->x;
+  v2[1] = a->y - c->y;
+  v2[2] = a->z - c->z;
+
+  vr[0] = v1[1] * v2[2] - v2[1] * v1[2];
+  vr[1] = v2[0] * v1[2] - v1[0] * v2[2];
+  vr[2] = v1[0] * v2[1] - v2[0] * v1[1];
+
+  val = sqrt(vr[0]*vr[0] + vr[1]*vr[1] + vr[2]*vr[2]);
+
+  normal->x = vr[0]/val;
+  normal->y = vr[1]/val;
+  normal->z = vr[2]/val;
+}

src/vector3d.h

@@ -19,6 +19,7 @@ void vec3Sub(vec3 *a, vec3 *b, vec3 *result);
 float vec3DotProduct(vec3 *a, vec3 *b);
 float vec3Length(vec3 *p);
 float vec3Distance(vec3 *a, vec3 *b);
+void vec3Normal(vec3 *a, vec3 *b, vec3 *c, vec3 *normal);
 
 #ifdef __cplusplus
 }