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/******************************Module*Header*******************************\
* Module Name: genlem.c * * The Twist style of the 3D Flying Objects screen saver. * * Solid model of a 3D lemniscate. * * Copyright (c) 1994 Microsoft Corporation * \**************************************************************************/
#include <stdlib.h>
#include <windows.h>
//#include <GL\gl.h>
#include <string.h>
#include <math.h>
//#include "ss3dfo.h"
#include <d3dx8.h>
#include "D3DSaver.h"
#include "FlyingObjects.h"
#include "mesh.h"
#define ROT_PREC 10
#define NORMS(x, y) lemMesh.norms[((x) * iPrec) + y]
#define GRID(x, y) lemMesh.pts[((x) * iPrec) + y]
static MESH lemMesh; static POINT3D basis[ROT_PREC]; static double zrot = 0.2; static int iPrec = 32; static double *lemX; static double *lemY; static double *lemXT; static double *lemYT;
static void getLem(double index, double max, double *angle, double *r) { double a, sina;
a = (index * PI) / (max - 1.0); if (a >= PI) a -= PI; if (a > PI / 2.0) { *angle = (2.0 * PI) - a; sina = sin( 2.0 * *angle ); if( sina < 0.0 ) sina = 0.0; // protect against sqrt fpe
*r = 0.5 * sqrt(sina); } else { *angle = a; sina = sin( 2.0 * *angle ); if( sina < 0.0 ) sina = 0.0; *r = 0.5 * sqrt(sina); } }
static void initLemCoords(int iMax) { int i; double max = (double)iMax; double angle; double r;
for (i = 0; i < iMax; i++) { getLem((double)i, (double)iPrec, &angle, &r); lemX[i] = r * cos(angle); lemY[i] = r * sin(angle); getLem((double)i + 0.00001, (double)iPrec, &angle, &r); lemXT[i] = r * cos(angle); lemYT[i] = r * sin(angle);
} }
void genLemniscate(void) { int i; int j; double posInc = 2.0 / (float)iPrec; int facecount = 0; int ptcount = 0; POINT3D norm; static float twistFact = 0.0f; static float twistFactAdd = 0.05f; POINT3D a[ROT_PREC]; POINT3D b[ROT_PREC]; MATRIX matrix; MESH *mesh = &lemMesh;
mesh->numPoints = 0; mesh->numFaces = 0; for (i = 0; i < (iPrec - 1) * (ROT_PREC - 1); i++) mesh->norms[i] = ss_ptZero;
for (i = 0; i < (iPrec - 1); i++) { double x1, y1, x2, y2; double len; double sinAngle; double rotZ; int id[4];
x1 = lemX[i]; y1 = lemY[i]; x2 = lemXT[i]; y2 = lemYT[i];
x2 -= x1; y2 -= y1;
len = sqrt(x2 * x2 + y2 * y2); if (len > 0.0) sinAngle = y2 / len; else sinAngle = 0.0; if (y2 < 0.0) sinAngle = -sinAngle; rotZ = asin(sinAngle); if (x2 < 0.0) rotZ = PI - rotZ; if (y2 < 0.0) rotZ = -rotZ; if (rotZ < 0.0) rotZ = 2.0 * PI + rotZ;
ss_matrixIdent(&matrix); ss_matrixRotate(&matrix, 0.0, 0.0, -rotZ); ss_matrixTranslate(&matrix, x1, y1, twistFact * cos((2.0 * PI * (float)i) / ((float)iPrec - 1))); for (j = 0; j < ROT_PREC; j++) ss_xformPoint(&a[j], &basis[j], &matrix);
x1 = lemX[i+1]; y1 = lemY[i+1];
x2 = lemXT[i+1]; y2 = lemYT[i+1];
x2 -= x1; y2 -= y1;
len = sqrt(x2 * x2 + y2 * y2);
if (len > 0.0) sinAngle = y2 / len; else sinAngle = 0.0; if (y2 < 0.0) sinAngle = -sinAngle; rotZ = asin(sinAngle); if (x2 < 0.0) rotZ = PI - rotZ; if (y2 < 0.0) rotZ = -rotZ; if (rotZ < 0.0) rotZ = 2.0 * PI + rotZ;
ss_matrixIdent(&matrix); ss_matrixRotate(&matrix, 0.0, 0.0, -rotZ); ss_matrixTranslate(&matrix, x1, y1, twistFact * cos((2.0 * PI * ((float)i + 1.0)) / ((float)iPrec - 1)));
for (j = 0; j < ROT_PREC; j++) ss_xformPoint(&b[j], &basis[j], &matrix); memcpy(&mesh->pts[ptcount], &a, sizeof(POINT3D) * (ROT_PREC - 1)); ptcount += (ROT_PREC - 1); mesh->numPoints += (ROT_PREC - 1); for (j = 0; j < (ROT_PREC - 1); j++) { int k; int jj; if (j == (ROT_PREC - 2)) jj = 0; else jj = j + 1;
ss_calcNorm(&norm, &b[j + 1], &b[j], &a[j]); mesh->faces[facecount].material = 3; mesh->faces[facecount].norm = norm; if (i == iPrec - 2) { id[0] = mesh->faces[facecount].p[0] = j; id[1] = mesh->faces[facecount].p[1] = jj; } else { id[0] = mesh->faces[facecount].p[0] = ptcount + j; id[1] = mesh->faces[facecount].p[1] = ptcount + jj; } id[2] = mesh->faces[facecount].p[2] = ptcount - (ROT_PREC - 1) + j; id[3] = mesh->faces[facecount].p[3] = ptcount - (ROT_PREC - 1) + jj; for (k = 0; k < 4; k++) { POINT3D *pn = &mesh->norms[id[k]]; pn->x += norm.x; pn->y += norm.y; pn->z += norm.z; } mesh->numFaces++; facecount++; } }
ss_normalizeNorms(lemMesh.norms, lemMesh.numPoints); if (twistFact >= 1.0f) twistFactAdd = -0.01f; else if (twistFact <= -1.0f) twistFactAdd = 0.01f; twistFact += twistFactAdd; }
BOOL initLemScene() { int i; RGBA lightAmbient = {0.0f, 0.0f, 0.0f, 1.0f};
iPrec = (int)(fTesselFact * 32.5); if (iPrec < 5) iPrec = 5;
lemX = (double*)SaverAlloc(sizeof(double) * iPrec); if( lemX == NULL ) return FALSE;
lemY = (double*)SaverAlloc(sizeof(double) * iPrec); if( lemY == NULL ) return FALSE;
lemXT = (double*)SaverAlloc(sizeof(double) * iPrec); if( lemXT == NULL ) return FALSE;
lemYT = (double*)SaverAlloc(sizeof(double) * iPrec); if( lemYT == NULL ) return FALSE;
/*
D3DXMATRIX matProj; D3DXMatrixOrthoLH( &matProj, 3.0, 3.0, 0.0f, 3.0f ); m_pd3dDevice->SetTransform( D3DTS_PROJECTION, &matProj ); */ SetProjectionMatrixInfo( TRUE, 3.0f, 3.0f, 0.0f, 3.0f );
D3DXMATRIX matView; D3DXVECTOR3 vUpVec( 0.0f, 1.0f, 0.0f ); D3DXVECTOR3 vEyePt(0, 0, 1.5f); D3DXVECTOR3 vLookatPt(0, 0, 0); D3DXMatrixLookAtLH( &matView, &vEyePt, &vLookatPt, &vUpVec ); m_pd3dDevice->SetTransform( D3DTS_VIEW, &matView );
if (!newMesh(&lemMesh, (ROT_PREC - 1) * (iPrec - 1) , (ROT_PREC - 1) * (iPrec - 1)) ) { return FALSE; }
for (i = 0; i < ROT_PREC; i++) { basis[i].x = 0.0f; basis[i].y = (float) (0.15 * cos((i * 2.0 * PI) / (ROT_PREC - 1.0))); basis[i].z = (float) (0.15 * sin((i * 2.0 * PI) / (ROT_PREC - 1.0))); }
initLemCoords(iPrec); /*
glFrontFace(GL_CW); glEnable(GL_CULL_FACE); glLightModelfv(GL_LIGHT_MODEL_AMBIENT, (FLOAT *) &lightAmbient); */ m_pd3dDevice->SetRenderState( D3DRS_CULLMODE, D3DCULL_CW ); myglMaterialfv(GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, (FLOAT *) &Material[3].Diffuse);
return TRUE; }
void delLemScene() { delMesh(&lemMesh);
SaverFree(lemX); SaverFree(lemY); SaverFree(lemXT); SaverFree(lemYT); }
void updateLemScene(int flags, FLOAT fElapsedTime) { static double mxrot = 0.0; static double myrot = 0.0; static double mzrot = 0.0; static double mxrotInc = 0.0; static double myrotInc = 0.1; static double zrotInc = 0.1; static double mzrotInc = 0.0; RGBA color; MATRIX model; D3DXMATRIX mat1, mat2, mat3, mat4, mat5, matFinal; static FLOAT fH = 0.0f; FLOAT fTimeFactor = fElapsedTime * 20.0f; if( fTimeFactor > 0.25f ) fTimeFactor = 0.25f; mxrot += mxrotInc * fTimeFactor; myrot += myrotInc * fTimeFactor; mzrot += mzrotInc * fTimeFactor;
if( gbBounce ) { // floating window bounced off an edge
if (mxrotInc) { mxrotInc = 0.0; myrotInc = 0.1; } else if (myrotInc) { myrotInc = 0.0; mzrotInc = 0.1; } else if (mzrotInc) { mzrotInc = 0.0; mxrotInc = 0.1; } gbBounce = FALSE; }
zrot += zrotInc * fTimeFactor; if (zrot >= PI / 4.0) { zrot = PI / 4.0; zrotInc = -0.03; } else if (zrot <= -PI / 4.0) { zrot = -PI / 4.0; zrotInc = 0.03; }
genLemniscate();
if (bColorCycle) { ss_HsvToRgb(fH, 1.0f, 1.0f, &color );
myglMaterialfv(GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, (FLOAT *) &color);
fH += fTimeFactor; if( fH >= 360.0f ) fH -= 360.0f; } /*
glMatrixMode(GL_PROJECTION); glLoadIdentity(); glOrtho(-1.5, 1.5, -1.5, 1.5, 0.0, 3.0); glTranslatef(0.0f, 0.0f, -1.5f); */ /*
glRotatef((FLOAT) (zrot * (180.0 / PI)), 0.0f, 1.0f, 0.0f); glRotatef(50.0f, 1.0f, 0.0f, 0.0f); glRotatef(50.0f, 0.0f, 0.0f, 1.0f); */
D3DXMATRIX matView; D3DXVECTOR3 vUpVec( 0.0f, 1.0f, 0.0f ); D3DXVECTOR3 vEyePt(0, 0, 1.5f); D3DXVECTOR3 vLookatPt(0, 0, 0); D3DXMatrixLookAtLH( &matView, &vEyePt, &vLookatPt, &vUpVec ); m_pd3dDevice->SetTransform( D3DTS_VIEW, &matView ); /*
glMatrixMode(GL_MODELVIEW); glLoadIdentity(); glTranslatef(0.0f, -0.5f, 0.0f); glRotatef((FLOAT) (mxrot * (180.0 / PI)), 1.0f, 0.0f, 0.0f); glRotatef((FLOAT) (myrot * (180.0 / PI)), 0.0f, 1.0f, 0.0f); glRotatef((FLOAT) (mzrot * (180.0 / PI)), 0.0f, 0.0f, 1.0f); */ D3DXMatrixTranslation(&mat1, 0.0f, -0.5f, 0.0f); D3DXMatrixRotationX(&mat2, D3DXToRadian((FLOAT)(mxrot * (180.0 / PI)))); D3DXMatrixRotationY(&mat3, D3DXToRadian((FLOAT)(myrot * (180.0 / PI)))); D3DXMatrixRotationZ(&mat4, D3DXToRadian((FLOAT)(mzrot * (180.0 / PI)))); matFinal = mat4 * mat3 * mat2 * mat1 ; m_pd3dDevice->SetTransform( D3DTS_WORLD , &matFinal );
ss_matrixIdent(&model); ss_matrixRotate(&model, mxrot, myrot, mzrot); ss_matrixTranslate(&model, 0.0, -0.5, 0.0);
// updateObject(&lemMesh, bSmoothShading);
RenderMesh3(&lemMesh, bSmoothShading); }
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