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DX.c
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DX.c
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// Creating 2D and 3D graphics
//
// David Miheev 7/18/19
// If there can be an X-axis and a Y-axis, why not a Z-axis?
#include "DGraphX.h"
#include "matrix.h"
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#define n(i,j) N[3*i+j]
#define cx(i,j) CX[BW_COLOR*i+j]
#define ALPHA 64.
#define THETA 45.
#define PHI 35.
#define DPHI 1.7
#define COEF 1.
#define X 1
#define Y 2
#define Z 3
#define N_COLOR 64
#define BW_COLOR 32
#define CW ( -1 )
#define CCW 1
#define K 0.01745329251
#define PI 3.14159265358
#define EPS_X 5e-2
#define EPS_Y 5e-2
#define BUF_SIZE 1000000
double xc = INIT_SCALE, yc = INIT_SCALE;
double xmin = 0, xmax = 0, ymin = 0, ymax = 0;
static double M[9];// matrix: local object coord -> global static coord
static double TMP_1[9];
static double TMP_2[9];
static double view[3];
static double light[3];
static double normal[3];
//static double m_normal[1000][3];
static unsigned long CX[N_COLOR*BW_COLOR];//[128];
static double centre[3];
static double cameraPos = 20.;
static double screenPos = 10.;
static double nearY, farY;
static double tmp[3];
static unsigned long SHADINGCOLOR;
static Point pt[4];
static XPoint xpt[4];
static double gridleft, gridright, griddown, gridup;
static int key = 0;
static int key_1 = 0;
static Pair z[BUF_SIZE];
static vertex zm[BUF_SIZE];
static polygon zb[BUF_SIZE];
void SetSize() {
double xcent = (xmax+xmin)/2., ycent = (ymax+ymin)/2.;
xmin = xcent-width*xc/2.;
xmax = xcent + width*xc/2.;
ymin = ycent - height*yc/2.;
ymax = ycent + height*yc/2.;
gridleft = xmin; gridright = xmax; griddown = ymin; gridup = ymax;
}
Point map(int x, int y) {
Point P; double kx = (-xmin)/(xmax - xmin), ky = (ymax)/(ymax - ymin);
P.x = (x - width * kx) * xc;
P.y = (height * ky - y) * yc;
return P;
}
XPoint invmap(double x, double y) {
XPoint pt;
double kx = (-xmin)/(xmax - xmin), ky = (ymax)/(ymax - ymin);
pt.x = x/xc + width * kx;
pt.y = -y/yc + height * ky;
return pt;
}
void scale(int mode, double a, double b, double lambda) {
switch (mode) {
case 1:
xmin = (b + a)/2 - lambda * ((b + a)/2 - xmin);
xmax = (b + a)/2 + lambda * (-(b + a)/2 + xmax);
ymin *= lambda; ymax *= lambda;
xc = (xmax - xmin)/width; yc = (ymax - ymin)/height;
break;
case -1:
xmin = (b + a)/2 - (1./lambda)*((b + a)/2 - xmin);
xmax = (b + a)/2 + (1./lambda)*(-(b + a)/2 + xmax);
ymin /= lambda; ymax /= lambda;
xc = (xmax - xmin)/width; yc = (ymax - ymin)/height;
break;
}
}
void xshift(int mode, double valueOfShift) {
switch (mode) {
case 1:
xmin += valueOfShift * (xmax - xmin); xmax += valueOfShift * (xmax - xmin);
break;
case -1:
xmin -= valueOfShift * (xmax - xmin); xmax -= valueOfShift * (xmax - xmin);
break;
}
}
void yshift(int mode, double valueOfShift) {
switch (mode) {
case 1:
ymin += valueOfShift*(ymax-ymin); ymax += valueOfShift*(ymax-ymin);
break;
case -1:
ymin -= valueOfShift*(ymax-ymin); ymax -= valueOfShift*(ymax-ymin);
break;
}
}
void InitCameraPosition(double pos, double focus) {
cameraPos = pos + focus;
screenPos = pos;
}
void InitKey() {
key = 0;
}
/*void InitScreenPosition(double pos) {
screenPos = pos;
}*/
void ChangeScreenPosition(double valueOfShift) {
screenPos += valueOfShift;
key = 1;
}
void ChangeCameraPosition(double valueOfShift) {
cameraPos += valueOfShift;
screenPos += valueOfShift;
key = 1;
}
void SetShadingColor(unsigned long color) {
SHADINGCOLOR = color;
}
void DrawLinear(Point *pt, int n) {
pallette(RED, BLUE, 0, n - 1);
SetLineWidth(4);
for (int i = 0; i < n - 1; i++) {
WSetColor(cx(i, 0));
DrawLine(pt[i].x, pt[i].y, pt[i + 1].x, pt[i + 1].y);
}
}
void DrawGraph2D(double f(double), double a, double b) {
double dx = 1e-3;
WSetColor (RED);
SetLineWidth(4);
for (double t = a; t < b; t += dx) {
if(t > xmin && t < xmax && f(t) > ymin && f(t) < ymax &&
t + dx > xmin && t + dx < xmax && f(t + dx) > ymin && f(t + dx) < ymax)
DrawLine(t, f(t), t + dx, f(t + dx));
}
}
void DrawParametric2D(double (*parf[]) (double), double it, double ft) {
double dt = 1e-3;
WSetColor (MAGENTA);
SetLineWidth(4);
for (double t = it; t < ft + dt; t += dt) {
if(parf[0](t) > xmin && parf[0](t) < xmax && parf[1](t) > ymin && parf[1](t) < ymax &&
parf[0](t + dt) > xmin && parf[0](t + dt) < xmax &&
parf[1](t + dt) > ymin && parf[1](t + dt) < ymax)
DrawLine(parf[0](t), parf[1](t), parf[0](t + dt), parf[1](t + dt));
}
}
void DrawLine(double x1, double y1, double x2, double y2) {
WDrawLine(invmap(x1,y1).x, invmap(x1,y1).y,
invmap(x2,y2).x, invmap(x2,y2).y);
}
void DrawGrid(int mode) {
double a = gridright, b = gridleft, c = gridup, d = griddown;
SetLineWidth(0);
if(gridright - gridleft > 2*(xmax - xmin) ||
gridup - griddown > 2*(ymax - ymin)) {
key_1++; a = xmax; b = xmin; c = ymax; d = ymin;
}
if(gridright - gridleft < (xmax - xmin)/2. ||
gridup - griddown < (ymax - ymin)/2.) {
key_1--; a = xmax; b = xmin; c = ymax; d = ymin;
}
gridright = a; gridleft = b; gridup = c; griddown = d;
if(key_1 != 0) {
switch (key_1 > 0) {
case 1:
for (int i = 0; i < key_1; i++) {
xmin *= 2; xmax *= 2; ymin *= 2; ymax *= 2; xc *= 2; yc *= 2;
}
break;
case 0:
for (int i = 0; i > key_1; i--) {
xmin /= 2; xmax /= 2; ymin /= 2; ymax /= 2; xc /= 2; yc /= 2;
}
break;
}
}
if(mode == 1) {
for (int i = (int) xmin; i <= (int) xmax ; i++)
{ if(i != 0) DrawLine((double) i, ymin, (double) i, ymax); }
for (int i = (int) ymin; i <= (int) ymax; i++)
{ if(i != 0) DrawLine(xmin, (double) i, xmax, (double) i); }
}
if(key_1 != 0) {
switch (key_1 > 0) {
case 1:
for (int i = 0; i < key_1; i++) {
xmin /= 2; xmax /= 2; ymin /= 2; ymax /= 2; xc /= 2; yc /= 2;
}
break;
case 0:
for (int i = 0; i > key_1; i--) {
xmin *= 2; xmax *= 2; ymin *= 2; ymax *= 2; xc *= 2; yc *= 2;
}
break;
}
}
}
void DrawAxes2D() {
WSetColor (LIGHTGREEN);
SetLineWidth(3);
WDrawLine (0, invmap(0,0).y, width-29, invmap(0,0).y);
WFillTriangle (invmap(0,0).x, 5, invmap(0,0).x-5, 30, invmap(0,0).x+5, 30);
WDrawLine (invmap(0,0).x, 29, invmap(0,0).x, height);
WFillTriangle (width-5, invmap(0,0).y, width-30, invmap(0,0).y - 5, width-30, invmap(0,0).y + 5);
WDrawString ("X", width - 20, invmap(0,0).y + 20);
WDrawString ("Y", invmap(0,0).x - 20, 20);
DrawPoint(invmap(0,0).x, invmap(0,0).y, 4);
}
void invmapX(Point * pts, XPoint *pt, int n) {
for (int i = 0; i < n; i++)
pt[i] = invmap(pts[i].x,pts[i].y);
}
void DrawLineX(Point * pts, XPoint *pt) {
invmapX(pts, pt, 2);
WDrawLine(pt[0].x, pt[0].y, pt[1].x, pt[1].y);
}
//============ colors ==========
void pallette(unsigned long firstColor, unsigned long secondColor, int modeColor, int size) {
unsigned long tmpx;
XColor fc, sc, w;
w.pixel = WHITE; QueryColor(&w);
if(size > N_COLOR) size = N_COLOR;
if(modeColor == 0) fc.pixel = firstColor; else fc.pixel = BLACK;
QueryColor(&fc);
if(modeColor == 0) sc.pixel = secondColor; else sc.pixel = SHADINGCOLOR;
QueryColor(&sc);
for (int i = 0; i < size; i++) {
for (int j = 0; j < BW_COLOR; j++) {
WGetColor(0.65*(fc.red + (sc.red - fc.red)*i/size + modeColor*(w.red - (fc.red + (sc.red - fc.red)*i/size))*j/BW_COLOR),
0.65*(fc.green + (sc.green - fc.green)*i/size + modeColor*(w.green - (fc.green + (sc.green - fc.green)*i/size))*j/BW_COLOR),
0.65*(fc.blue + (sc.blue - fc.blue)*i/size + modeColor*(w.blue - (fc.blue + (sc.blue - fc.blue)*i/size))*j/BW_COLOR), &tmpx);
cx(i,j) = tmpx;
}
}
}
void elemRotation(int Axis, double angle, int mode) {
double N[9];
MatrixId(N);
switch (Axis) {
case 1:
n(1,1) = n(2,2) = cos(angle);
n(2,1) = n(1,2) = mode*sin(angle);
n(2,1) *= (-1.);
break;
case 2:
n(0,0) = n(2,2) = cos(angle);
n(2,0) = n(0,2) = mode*sin(angle);
n(2,0) *= (-1.);
break;
case 3:
n(0,0) = n(1,1) = cos(angle);
n(1,0) = n(0,1) = mode*sin(angle);
n(1,0) *= (-1.);
break;
default:
break;
} //printf("%f\n", n(1,0));
MxM(M,N);
}
void RotateX(int mode) {
elemRotation(X,K*DPHI,mode);
}
void RotateY(int mode) {
elemRotation(Y,K*DPHI,mode);
}
void RotateZ(int mode) {
elemRotation(Z,K*DPHI,mode);
}
void IdMatrix() {
MatrixId(M);
}
void SetCentre(double x, double y, double z) {
centre[0] = x;
centre[1] = y;
centre[2] = z;
}
void translation(double *p, double x, double y, double z) {
p[0] += x;
p[1] += y;
p[2] += z;
}
void Projection(Point *p, double x, double y, double z) {
Init(tmp, x - centre[0], y - centre[1], z - centre[2]);
MxV(M, tmp);
p->x = tmp[0]*(cameraPos-screenPos)/(cameraPos - tmp[1]);
p->y = tmp[2]*(cameraPos-screenPos)/(cameraPos - tmp[1]);
}
Point ObliqueProjection ( /*PointR3 p*/ double x, double y, double z ) {
Point P;
P.x = x - y*cos(K*ALPHA)/2;
P.y = z - y*sin(K*ALPHA)/2;
return P;
}
void InitialPosition () {
for(int i = 0; i < BUF_SIZE; i++) zm[i].data = 0;
MatrixId(M);
elemRotation(X,K*PHI,CCW);
elemRotation(Z,K*THETA,CW);
}
void DrawAxes(int *n) {
Point p1,p2;
double tmpx[3];
SetLineWidth(0);
*n = 0;
for(double t = 0.3; t > 0; t-=0.05) {
for (double phi = 0; phi < 360; phi+=2) {
Init(tmpx, (5-t), t*cos(K*phi)/2., t*sin(K*phi)/2.);
z[*n].z = inner(view, tmpx, 3); z[*n].num = *n;
Projection(&p1,5-t,t*cos(K*phi)/2.,t*sin(K*phi)/2.);
Projection(&p2,5-t,t*cos(K*(phi+2))/2.,t*sin(K*(phi+2))/2.);
zm[*n].x = p1.x; zm[*n].y = p1.y;//DrawLine(p1.x,p1.y,p2.x,p2.y);
zm[*n].z = p2.x; zm[*n].t = p2.y; zm[*n].data = -1;
(*n)++;
}
}
for(double t = 0.3; t > 0; t-=0.05) {
for (double phi = 0; phi < 360; phi+=2) {
Init(tmpx, t*cos(K*phi)/2., (5-t), t*sin(K*phi)/2.);
z[*n].z = inner(view, tmpx, 3); z[*n].num = *n;
Projection(&p1,t*cos(K*phi)/2., 5-t, t*sin(K*phi)/2.);
Projection(&p2,t*cos(K*(phi+2))/2.,5-t,t*sin(K*(phi+2))/2.);
zm[*n].x = p1.x; zm[*n].y = p1.y;//DrawLine(p1.x,p1.y,p2.x,p2.y);
zm[*n].z = p2.x; zm[*n].t = p2.y; zm[*n].data = -1;
(*n)++;
}
}
for(double t = 0.3; t > 0; t-=0.05) {
for (double phi = 0; phi < 360; phi+=2) {
Init(tmpx, t*cos(K*phi)/2., t*sin(K*phi)/2.,(5-t));
z[*n].z = inner(view, tmpx, 3); z[*n].num = *n;
Projection(&p1,t*cos(K*phi)/2, t*sin(K*phi)/2, 5-t);
Projection(&p2,t*cos(K*(phi+2))/2., t*sin(K*(phi+2))/2., 5-t);
zm[*n].x = p1.x; zm[*n].y = p1.y;
zm[*n].z = p2.x; zm[*n].t = p2.y; zm[*n].data = -1;
(*n)++;
}
} //SetLineWidth(3);
for(double t = 0; t < 1-0.03; t += 0.03) {
Init(tmpx, (-5 + 10*t),0,0);
z[*n].z = inner(view, tmpx, 3); z[*n].num = *n;
Projection(&p1,-5 + 10*t,0,0);
Projection(&p2,-5 + 10*(t+0.03),0,0);
zm[*n].x = p1.x; zm[*n].y = p1.y;
zm[*n].z = p2.x; zm[*n].t = p2.y; zm[*n].data = -1; (*n)++;
}
for(double t = 0; t < 1-0.03; t += 0.03) {
Init(tmpx, 0, (-5 + 10*t),0);
z[*n].z = inner(view, tmpx, 3); z[*n].num = *n;
Projection(&p1,0,-5 + 10*t,0);
Projection(&p2,0,-5 + 10*(t+0.03),0);
zm[*n].x = p1.x; zm[*n].y = p1.y;//DrawLine(p1.x,p1.y,p2.x,p2.y);
zm[*n].z = p2.x; zm[*n].t = p2.y; zm[*n].data = -1; (*n)++;
}
for(double t = 0; t < 1-0.03; t += 0.03) {
Init(tmpx, 0, 0,(-5 + 10*t));
z[*n].z = inner(view, tmpx, 3); z[*n].num = *n;
Projection(&p1,0,0,-5 + 10*t);
Projection(&p2,0,0,-5 + 10*(t+0.03));
zm[*n].x = p1.x; zm[*n].y = p1.y;//DrawLine(p1.x,p1.y,p2.x,p2.y);
zm[*n].z = p2.x; zm[*n].t = p2.y; zm[*n].data = -1; (*n)++;
}
//WSetColor(LIGHTGREEN);
Projection(&p1,5.3,0,0);
WDrawString ("X", invmap(p1.x,p1.y).x, invmap(p1.x,p1.y).y);
Projection(&p1,0,5.3,0);
WDrawString ("Y", invmap(p1.x,p1.y).x, invmap(p1.x,p1.y).y);
Projection(&p1,0,0,5.3);
WDrawString ("Z", invmap(p1.x,p1.y).x, invmap(p1.x,p1.y).y);
}
void VectorSight() {
double N[9], T[9];
Init(view, 0, 1, 0);
InitM(T, M);
InvMatrix(3, T, N);
MxV(N, view); //printf("(%f,%f,%f)\n", view[0],view[1],view[2]);
}
void VectorLight(double x, double y, double z) {
double N[9], T[9];
Init(light, x, y, z);
normalize(light, 3);
InitM(T, M);
InvMatrix(3, T, N);
MxV(N, light);
}
int LineSightControlAxes(double x, double y, double z) {
double tmpx[3]; InitV(tmpx, view);
view[0] = (cameraPos*view[0] - x)/cameraPos; view[1] = (cameraPos*view[1] - y)/cameraPos;
view[2] = (cameraPos*view[2] - z)/cameraPos;
if((fabs(y*view[2]-z*view[1]) < 0.03 && y/view[1] < 0 && fabs(x-(y/view[1])*view[0]) < 5) ||
(fabs(x*view[2]-z*view[0]) < 0.03 && z/view[2] < 0 && fabs(y-(z/view[2])*view[1]) < 5) ||
(fabs(x*view[1]-y*view[0]) < 0.03 && x/view[0] < 0 && fabs(z-(x/view[0])*view[2]) < 5)) {
InitV(view, tmpx);
return 1;
} InitV(view, tmpx);
return 0;
}
int SightControl(double x, double y, double z, double eps) {
Init(tmp, x, y, z);
MxV(M, tmp);
return (screenPos - tmp[1] > eps);
}
void DrawVector(double x1, double y1, double z1, double x2, double y2, double z2) {
Point p1,p2;
Projection(&p1, x1, y1, z1);
Projection(&p2, x2, y2, z2);
DrawLine(p1.x, p1.y, p2.x, p2.y);
}
int comp (const void *i, const void *j)
{
if(((const Pair*) i) -> z > ((const Pair*) j) -> z) return 1;
else return -1;
}
int comp_1 (const void *i, const void *j)
{
if(((const polygon*) i) -> z > ((const polygon*) j) -> z) return 1;
else return -1;
}
int ufun(double a, double b, double t) {
if (a > b) return (t < a);
else return (t > a);
}
void normalMap(polygon *m, int n) {
for(int i = 0; i < n; i++) {
normalize(m[i].normal, 3);
}
}
/*int Inside(polygon p, Point a) {
int j = 0;
for(int i = 0; i < p.n; i++) {
if((signed_area(p.vert[i%(p.n)],p.vert[(i+1)%(p.n)],p.vert[(i+2)%(p.n)])*signed_area(p.vert[i%(p.n)], p.vert[(i+1)%(p.n)], a)) > 0.) ++j;
}
if(j == p.n) return 1;
else return 0;
}*/
void InvProj(double x, double y, double *res) {
res[0] = x*(nearY - farY)*cameraPos/500.;
res[1] = 0;
res[2] = y*(nearY - farY)*cameraPos/500.;
InitM(TMP_1, M);
InvMatrix(3, TMP_1, TMP_2);
MxV(TMP_2, res);
res[0] = cameraPos*view[0] - res[0];
res[1] = cameraPos*view[1] - res[1];
res[2] = cameraPos*view[2] - res[2];
normalize(res, 3);
}
void DrawLinear3D(double* a, int n, unsigned long Color) {
double vec[3], res[3], h = 1./(n-1); int k = 0;
pallette(Color, BLACK, 1, N_COLOR);
VectorSight();
if(key == 0) InitCameraPosition(2, 1);
printf("[DGraphX]:\tcameraPos = %f\n", cameraPos);
for(int i = 0; i < n - 1; i++) {
for(int j = 0; j < n - 1; j++) { //zb[k].n = 3;
Init(zb[k].vert[0], j*h, i*h, a[i*n + j]);
Init(zb[k].vert[1], (j+1)*h, i*h, a[i*n + j+1]);
Init(zb[k].vert[2], j*h, (i+1)*h, a[(i+1)*n + j]);
plus(zb[k].vert[0], zb[k].vert[1], vec);
plus(vec, zb[k].vert[2], vec);
intxvec(1./3., vec, vec);
minus(vec, centre, vec);
zb[k].z = inner(view, vec, 3);
Init(vec, h, 0, a[i*n + j + 1] - a[i*n + j]);
Init(res, 0, h, a[(i+1)*n + j] - a[i*n + j]);
cross(vec, res, zb[k].normal); //zb[k + 1].n = 3;
Init(zb[k+1].vert[0], j*h, (i+1)*h, a[(i+1)*n + j]);
Init(zb[k+1].vert[1], (j+1)*h, i*h, a[i*n + j+1]);
Init(zb[k+1].vert[2], (j+1)*h, (i+1)*h, a[(i+1)*n + j+1]);
plus(zb[k+1].vert[0], zb[k+1].vert[1], vec);
plus(vec, zb[k+1].vert[2], vec);
intxvec(1./3., vec, vec);
minus(vec, centre, vec);
zb[k+1].z = inner(view, vec,3);
Init(vec, h, 0, a[(i+1)*n + j + 1] - a[(i+1)*n + j]);
Init(res, 0, h, a[(i+1)*n + j + 1] - a[i*n + j + 1]);
cross(vec, res, zb[k+1].normal);
k+=2;
}
}
qsort(zb, k, sizeof(*zb), &comp_1);
normalMap(zb, k); //WSetColor(RED);
for (int i = 0; i < k; i++) {
if(SightControl(zb[i].vert[0][0], zb[i].vert[0][1], zb[i].vert[0][2], 0.1)) {
Projection(&pt[0], zb[i].vert[0][0], zb[i].vert[0][1], zb[i].vert[0][2]);
Projection(&pt[1], zb[i].vert[1][0], zb[i].vert[1][1], zb[i].vert[1][2]);
Projection(&pt[2], zb[i].vert[2][0], zb[i].vert[2][1], zb[i].vert[2][2]);
//InvProj(zb[i].vert[0].x, zb[i].vert[0].y, res);
Init(res, (cameraPos*view[0] - zb[i].vert[0][0] +centre[0]), (cameraPos*view[1] - zb[i].vert[0][1] + centre[1]), (cameraPos*view[2] - zb[i].vert[0][2])+centre[2]);
normalize(res,3);
//WSetColor(RED); DrawVector(zb[i].vert[0][0], zb[i].vert[0][1], zb[i].vert[0][2], zb[i].vert[0][0] + res[0], zb[i].vert[0][1] + res[1], zb[i].vert[0][2] + res[2]);
if(inner(res, zb[i].normal, 3) < -1e-10) Init(zb[i].normal, (-1)*zb[i].normal[0], (-1)*zb[i].normal[1], (-1)*zb[i].normal[2]);
reflect(light, zb[i].normal, vec);
WSetColor(cx((int)((inner(zb[i].normal, light, 3)/2. + 1./2.)*N_COLOR),(int)((inner(vec, res, 3)/2. + 1./2.)*BW_COLOR)));
invmapX(pt, xpt, 3);
WFillPolygon (xpt, 3);
}
}
}
void DrawGraph3DX(double a, double b, double (*f[]) (double, double), unsigned long firstColor,
unsigned long secondColor, int mode, int modeColor, int n) {
double dx = EPS_X, dy = EPS_Y;
double u[3], w[3], tmpx[3], res[3];
int j = 0;
pallette(firstColor, secondColor, modeColor, N_COLOR);
//DrawLinear3D();
VectorSight();
farY = a; nearY = b;
if(key == 0) InitCameraPosition(nearY + 5, 2*(nearY-farY));
printf("[DGraphX]:\tcameraPos = %f\n", cameraPos);
if(mode) DrawAxes(&j); //printf("%d:(\n", j);
for(int i = 0; i < n; i++) {
for (double y = a; y < b; y += dy) {
for (double x = a; x < b; x += dx) {
zm[j].x = x; zm[j].y = y; zm[j].z = f[i](x, y); zm[j].data = i;
Init(tmpx, /*cameraPos*view[0] - */x,
/*cameraPos*view[1] - */y,
/*cameraPos*view[2] - */f[i](x, y));
z[j].z = inner(tmpx, view, 3); z[j].num = j; j++;
}
}
} qsort(z, j, sizeof(*z), &comp);
for (int i = 0; i < j; i++) {
if(SightControl(zm[z[i].num].x, zm[z[i].num].y, zm[z[i].num].z, 0.1)) {
if(zm[z[i].num].data != -1) {
Projection(&pt[0], zm[z[i].num].x, zm[z[i].num].y, zm[z[i].num].z);
Projection(&pt[1], zm[z[i].num].x + EPS_X, zm[z[i].num].y, f[zm[z[i].num].data](zm[z[i].num].x + EPS_X, zm[z[i].num].y));
if(EPS_X*EPS_Y > 1e-2) Projection(&pt[2], zm[z[i].num].x, zm[z[i].num].y + EPS_Y, f[zm[z[i].num].data](zm[z[i].num].x, zm[z[i].num].y + EPS_Y));
else Projection(&pt[2], zm[z[i].num].x + EPS_X, zm[z[i].num].y + EPS_Y, f[zm[z[i].num].data](zm[z[i].num].x + EPS_X, zm[z[i].num].y + EPS_Y));
if(modeColor == 0) WSetColor(cx((int)((0.5 + atan(COEF * f[zm[z[i].num].data](zm[z[i].num].x + EPS_X/2., zm[z[i].num].y + EPS_Y/2.))/PI)*N_COLOR),0));//[0]
else {
Init(u, 0, EPS_Y, (f[zm[z[i].num].data](zm[z[i].num].x, zm[z[i].num].y + EPS_Y) - f[zm[z[i].num].data](zm[z[i].num].x, zm[z[i].num].y)));
Init(w, EPS_X, 0, (f[zm[z[i].num].data](zm[z[i].num].x + EPS_X, zm[z[i].num].y) - f[zm[z[i].num].data](zm[z[i].num].x, zm[z[i].num].y)));
cross(u, w, normal);
normalize(normal, 3);
InitV(tmp, view);
Init(view, (cameraPos*view[0] - zm[z[i].num].x), (cameraPos*view[1] - zm[z[i].num].y), (cameraPos*view[2] - zm[z[i].num].z));
normalize(view, 3);
if(inner(view, normal, 3) < 0.) Init(normal, (-1)*normal[0], (-1)*normal[1], (-1)*normal[2]);
reflect(light, normal, res);
WSetColor(cx((int)((inner(normal, light, 3)/2. + 1./2.)*N_COLOR), (int)((inner(view, res, 3)/2. + 1./2.)*BW_COLOR)));
InitV(view, tmp);
}
if(EPS_X*EPS_Y < 1e-2) {
Projection(&pt[3], zm[z[i].num].x, zm[z[i].num].y + EPS_Y, f[zm[z[i].num].data](zm[z[i].num].x, zm[z[i].num].y + EPS_Y));
invmapX(pt, xpt, 4);
WFillPolygon (xpt, 4);
} else {
invmapX(pt, xpt, 3); //DrawLineX(p1.x,p1.y,p2.x,p2.y,p,q);
WFillPolygon (xpt, 3);
Projection(&pt[0], zm[z[i].num].x + EPS_X, zm[z[i].num].y + EPS_Y, f[zm[z[i].num].data](zm[z[i].num].x + EPS_X, zm[z[i].num].y + EPS_Y));
invmapX(pt, xpt, 3);
WFillPolygon (xpt, 3);
}
}
else { WSetColor(LIGHTGREEN); DrawLine(zm[z[i].num].x,zm[z[i].num].y,zm[z[i].num].z,zm[z[i].num].t); }
}
}
}
void ParametricCurve3D(double (*curvefun[]) (double), double it, double s, int mode) {
double dt = 1e-4;
Point pts[2];
XPoint ptx[2];
VectorSight();
nearY = farY = curvefun[1](it);
SetLineWidth(3);
pallette(RED, BLUE, 0, N_COLOR);
if(key == 0) InitCameraPosition(nearY + 5, 2*(nearY-farY));
for(double t = it; t < s; t += dt) {
if(curvefun[1](t) > nearY) nearY = curvefun[1](t);
if(curvefun[1](t) < farY) farY = curvefun[1](t);
}
for(double t = it; t < s; t += dt) {
if(SightControl(curvefun[0](t), curvefun[1](t), curvefun[2](t), 5)) {
if(!(mode && LineSightControlAxes(curvefun[0](t), curvefun[1](t), curvefun[2](t)))) {
Projection(&pts[0], curvefun[0](t), curvefun[1](t), curvefun[2](t));
Projection(&pts[1], curvefun[0](t+dt), curvefun[1](t+dt), curvefun[2](t+dt));
WSetColor(cx((int)((0.5 + atan(COEF * curvefun[2](t + dt/2.))/PI)*N_COLOR), 0));
DrawLineX(pts, ptx);
}
}
}
}
void ParametricGraph3D(double (*parfun[]) (double, double), unsigned long firstColor, unsigned long secondColor,
double it, double ft, double is, double fs, int mode, int modeColor) {
double dt = (ft-it)/150., ds = (fs-is)/100.;
double u[3],w[3],tmpx[3], res[3];
int j = 0;
SetShadingColor(MAGENTA);
pallette(firstColor, secondColor, modeColor, N_COLOR);
VectorSight();
nearY = farY = parfun[1](it, is);
for(double t = it; t < ft; t += dt) {
for (double s = is; s < fs; s += ds) {
if(parfun[1](t,s) > nearY) nearY = parfun[1](t,s);
if(parfun[1](t,s) < farY) farY = parfun[1](t,s);
}
} if(key == 0) InitCameraPosition(nearY + 5, 2*(nearY-farY));
printf("[DGraphX]:\tcameraPos = %f\n", cameraPos);
if(mode) DrawAxes(&j);
for(double t = it; t < ft; t += dt) {
for (double s = is; s < fs; s += ds) {
zm[j].x = t; zm[j].y = s;
Init(tmpx,parfun[0](t,s), parfun[1](t,s), parfun[2](t,s));
z[j].z = inner(view, tmpx, 3); z[j].num = j; j++;
}
} qsort(z, j, sizeof(*z), &comp);
for (int i = 0; i < j; i++) {
if(SightControl(parfun[0](zm[z[i].num].x, zm[z[i].num].y), parfun[1](zm[z[i].num].x, zm[z[i].num].y), parfun[2](zm[z[i].num].x, zm[z[i].num].y), 0.1)) {
if(zm[z[i].num].data != -1) {
Projection(&pt[0], parfun[0](zm[z[i].num].x, zm[z[i].num].y),
parfun[1](zm[z[i].num].x, zm[z[i].num].y),
parfun[2](zm[z[i].num].x, zm[z[i].num].y));
Projection(&pt[1], parfun[0](zm[z[i].num].x + dt, zm[z[i].num].y),
parfun[1](zm[z[i].num].x + dt, zm[z[i].num].y),
parfun[2](zm[z[i].num].x + dt, zm[z[i].num].y));
Projection(&pt[2], parfun[0](zm[z[i].num].x, zm[z[i].num].y + ds),
parfun[1](zm[z[i].num].x, zm[z[i].num].y + ds),
parfun[2](zm[z[i].num].x, zm[z[i].num].y + ds));
if(modeColor == 0) WSetColor(cx((int)((0.5 + atan(COEF * parfun[2](zm[z[i].num].x, zm[z[i].num].y))/PI)*N_COLOR), 0));
else {
Init(u, parfun[0](zm[z[i].num].x + dt, zm[z[i].num].y) - parfun[0](zm[z[i].num].x, zm[z[i].num].y),
parfun[1](zm[z[i].num].x + dt, zm[z[i].num].y) - parfun[1](zm[z[i].num].x, zm[z[i].num].y),
parfun[2](zm[z[i].num].x + dt, zm[z[i].num].y) - parfun[2](zm[z[i].num].x, zm[z[i].num].y));
Init(w, parfun[0](zm[z[i].num].x, zm[z[i].num].y + ds) - parfun[0](zm[z[i].num].x, zm[z[i].num].y),
parfun[1](zm[z[i].num].x, zm[z[i].num].y + ds) - parfun[1](zm[z[i].num].x, zm[z[i].num].y),
parfun[2](zm[z[i].num].x, zm[z[i].num].y + ds) - parfun[2](zm[z[i].num].x, zm[z[i].num].y));
cross(u, w, normal);
normalize(normal, 3);
InitV(tmpx, view);
Init(view, (cameraPos*view[0] - parfun[0](zm[z[i].num].x, zm[z[i].num].y)), (cameraPos*view[1] - parfun[1](zm[z[i].num].x, zm[z[i].num].y)), (cameraPos*view[2] - parfun[2](zm[z[i].num].x, zm[z[i].num].y)));
normalize(view, 3);
if(inner(view, normal, 3) < 0.) { intxvec((-1), normal, res); InitV(normal, res); }
reflect(light, normal, res);
WSetColor(cx((int)((inner(normal, light, 3)/2. + 1./2.)*N_COLOR), (int)((inner(view, res, 3)/2. + 1./2.)*BW_COLOR)));
InitV(view, tmpx);
}
invmapX(pt, xpt, 3);
WFillPolygon (xpt, 3);
Projection(&pt[0], parfun[0](zm[z[i].num].x + dt, zm[z[i].num].y + ds),
parfun[1](zm[z[i].num].x + dt, zm[z[i].num].y + ds),
parfun[2](zm[z[i].num].x + dt, zm[z[i].num].y + ds));
invmapX(pt, xpt, 3);
WFillPolygon (xpt, 3);
}
else { WSetColor(LIGHTGREEN); DrawLine(zm[z[i].num].x,zm[z[i].num].y,zm[z[i].num].z,zm[z[i].num].t); }
}
}
}
void DrawPolytope(Face *f, int n) {
double tmpx[3], a = 0, b = 0, c = 0, u[3], w[3]; Point vert[10]; XPoint vertx[10];
VectorSight();
SetShadingColor(BLUE);
pallette(RED, BLUE, 1, N_COLOR);
if(key == 0) InitCameraPosition(5, 2);
for (int i = 0; i < n; i++) {
for (int j = 0; j < f[i].n; j++) {
a += f[i].vertex[0][j]/(f[i].n);
b += f[i].vertex[1][j]/(f[i].n);
c += f[i].vertex[2][j]/(f[i].n);
}
Init(tmpx, cameraPos*view[0] - a,
cameraPos*view[1] - b,
cameraPos*view[2] - c);
z[i].z = inner(tmpx, tmpx, 3); z[i].num = i;
a = 0; b = 0; c = 0;
} a = 0; b = 0; c = 0;
qsort(z, n, sizeof(*z), &comp);
for (int i = n - 1; i >= 0; i--) {
for (int j = 0; j < f[i].n; j++) {
a += f[z[i].num].vertex[0][j]/(f[z[i].num].n);
b += f[z[i].num].vertex[1][j]/(f[z[i].num].n);
c += f[z[i].num].vertex[2][j]/(f[z[i].num].n);
} Init(tmpx, a, b, c);
if(SightControl(a, b, c, 0.01)) {
Init(u, f[z[i].num].vertex[0][1] - f[z[i].num].vertex[0][0],
f[z[i].num].vertex[1][1]-f[z[i].num].vertex[1][0],
f[z[i].num].vertex[2][1]-f[z[i].num].vertex[2][0]);
Init(w, f[z[i].num].vertex[0][f[z[i].num].n-1] - f[z[i].num].vertex[0][0],
f[z[i].num].vertex[1][f[z[i].num].n-1]-f[z[i].num].vertex[1][0],
f[z[i].num].vertex[2][f[z[i].num].n-1]-f[z[i].num].vertex[2][0]);
cross(u,w,normal);
if(inner(normal, tmpx, 3) < 0) Init(normal, (-1)*normal[0], (-1)*normal[1], (-1)*normal[2]);
normalize(normal, 3);
Init(u, (cameraPos*view[0] - f[z[i].num].vertex[0][0] +centre[0]), (cameraPos*view[1] - f[z[i].num].vertex[0][1] + centre[1]), (cameraPos*view[2] - f[z[i].num].vertex[0][2])+centre[2]);
normalize(u,3);
reflect(light, normal, w);
WSetColor(cx((int)((inner(normal, light, 3)/2. + 1./2.)*N_COLOR), (int)((inner(w, u, 3)/2. + 1./2.)*BW_COLOR)));
for (int j = 0; j < f[z[i].num].n; j++)
Projection(&vert[j], f[z[i].num].vertex[0][j],
f[z[i].num].vertex[1][j],
f[z[i].num].vertex[2][j]);
invmapX(vert, vertx, f[z[i].num].n);
WFillPolygon (vertx, f[z[i].num].n);
} a = 0; b = 0; c = 0;
}
}
//////////////////////////////////////////////////////
/*
for(int i = 0; i < width; i++) {
for(int j = 0; j < height; j++) {
p1 = map(i,j); back = 1;
for(l = k - 1; l >= 0; l--) {
if(Inside(zb[l], p1)) {
back = 0; break;
}
}
if(back == 0) {
InvProj(p1.x, p1.y, res);
if(inner(res, zb[l].normal, 3) < 0.) Init(zb[l].normal, (-1)*zb[l].normal[0], (-1)*zb[l].normal[1], (-1)*zb[l].normal[2]);
n1 = (int)((inner(zb[l].normal, light, 3)/2. + 1./2.)*N_COLOR);
reflect(light, zb[l].normal, vec);
n2 = (int)((inner(vec, res, 3)/2. + 1./2.)*BW_COLOR);
if(curcolor[0] != n1 || curcolor[1] != n2) {
WSetColor(cx(n1, n2));
curcolor[0] = n1; curcolor[1] = n2;
}
}
else {
if(curcolor[0] != 0 || curcolor[1] != 0) {
WSetColor(BLACK);
curcolor[0] = 0; curcolor[1] = 0;
}
}
WDrawPoint(i,j);
}
}*/