protected void render(DrawContext dc, Vec4 p1, Vec4 p2, double radius) {
// To compute the rotation of the cylinder axis to the orientation of the vector between the
// two points,
// this method performs the same operation as Vec4.axisAngle() but with a "v2" of <0, 0, 1>.
// Compute rotation angle
double length = p1.distanceTo3(p2);
Vec4 u1 = new Vec4((p2.x - p1.x) / length, (p2.y - p1.y) / length, (p2.z - p1.z) / length);
double angle = Math.acos(u1.z);
// Compute the direction cosine factors that define the rotation axis
double A = -u1.y;
double B = u1.x;
double L = Math.sqrt(A * A + B * B);
GL gl = dc.getGL();
// pushReferenceCenter performs the translation of the pipe's origin to point p1 and the
// necessary
// push/pop of the modelview stack. Otherwise we'd need to include a glPushMatrix and
// gl.glTranslated(p1.x, p1.y, p1.z) above the rotation, and a corresponding glPopMatrix after
// the
// call to glCallIst.
dc.getView().pushReferenceCenter(dc, p1);
gl.glRotated(angle * TO_DEGREES, A / L, B / L, 0);
gl.glScaled(
radius, radius, length / 2); // length / 2 because cylinder is created with length 2
dc.getGL().glCallList(this.glListId);
dc.getView().popReferenceCenter(dc);
}
// calculates the angle between two vectors
// i.e. θ = arccos(A•B / |A||B|)
void angle(Vector vector) {
double maga = this.magnitude();
double magb = vector.magnitude();
double mag = maga * magb;
double dot = this.dotProduct(vector);
double angle = Math.acos(dot / mag);
System.out.printf("\nAngle: %.3f\n", angle);
}
public static double distance(double lat1, double lon1, double lat2, double lon2) {
double theta = lon1 - lon2;
double dist =
Math.sin(deg2rad(lat1)) * Math.sin(deg2rad(lat2))
+ Math.cos(deg2rad(lat1)) * Math.cos(deg2rad(lat2)) * Math.cos(deg2rad(theta));
dist = Math.acos(dist);
dist = rad2deg(dist);
dist = dist * 60 * 1.85315962;
return (dist);
}
static double gcDistance(double pLat, double pLong, double qLat, double qLong, double radius) {
pLat *= Math.PI / 180;
pLong *= Math.PI / 180;
qLat *= Math.PI / 180;
qLong *= Math.PI / 180;
return radius
* Math.acos(
Math.cos(pLat) * Math.cos(pLong) * Math.cos(qLat) * Math.cos(qLong)
+ Math.cos(pLat) * Math.sin(pLong) * Math.cos(qLat) * Math.sin(qLong)
+ Math.sin(pLat) * Math.sin(qLat));
}
static long gcDistance(double pLat, double pLong, double qLat, double qLong, double radius) {
pLat *= PI / 180;
pLong *= PI / 180;
qLat *= PI / 180;
qLong *= PI / 180;
return Math.round(
radius
* Math.acos(
Math.cos(pLat) * Math.cos(pLong) * Math.cos(qLat) * Math.cos(qLong)
+ Math.cos(pLat) * Math.sin(pLong) * Math.cos(qLat) * Math.sin(qLong)
+ Math.sin(pLat) * Math.sin(qLat)));
}
private int getEnvironmentMap(Vector3f normal, int[] inPixels, int width, int height) {
if (environmentMap != null) {
float angle = (float) Math.acos(-normal.y);
float x, y;
y = angle / ImageMath.PI;
if (y == 0.0f || y == 1.0f) x = 0.0f;
else {
float f = normal.x / (float) Math.sin(angle);
if (f > 1.0f) f = 1.0f;
else if (f < -1.0f) f = -1.0f;
x = (float) Math.acos(f) / ImageMath.PI;
}
// A bit of empirical scaling....
x = ImageMath.clamp(x * envWidth, 0, envWidth - 1);
y = ImageMath.clamp(y * envHeight, 0, envHeight - 1);
int ix = (int) x;
int iy = (int) y;
float xWeight = x - ix;
float yWeight = y - iy;
int i = envWidth * iy + ix;
int dx = ix == envWidth - 1 ? 0 : 1;
int dy = iy == envHeight - 1 ? 0 : envWidth;
return ImageMath.bilinearInterpolate(
xWeight,
yWeight,
envPixels[i],
envPixels[i + dx],
envPixels[i + dy],
envPixels[i + dx + dy]);
}
return 0;
}
public void update() {
Vector2D prevVector = main.getPosition().subtract(previous.getPosition());
Vector2D nextVector = next.getPosition().subtract(main.getPosition());
double angleRad =
Math.acos(prevVector.dot(nextVector) / (prevVector.norm() * nextVector.norm()));
double angle = Math.toDegrees(angleRad);
if (prevVector.crossMag(nextVector) > 0) {
angle = 360.0 - angle;
}
double forceMag = ANGLE_CONSTANT * (angle - 90.0);
forces.put(previous, prevVector.rotate270().scaleTo(NEIGHBOR_ANGLE_SCALE * forceMag));
forces.put(main, normals.get(main).scaleTo(forceMag));
forces.put(next, nextVector.rotate270().scaleTo(NEIGHBOR_ANGLE_SCALE * forceMag));
}
public class Main implements Runnable {
final String filename = "in";
public static void main(String[] args) {
// new Thread(new Main()).start();
new Thread(null, new Main(), "1", 1 << 25).start();
}
public void run() {
try {
// in = new BufferedReader(new InputStreamReader(System.in));
out = new BufferedWriter(new OutputStreamWriter(System.out));
in = new BufferedReader(new FileReader(filename + ".in"));
// out = new BufferedWriter(new FileWriter(filename+".out"));
int kase = iread();
for (int i = 1; i <= kase; ++i) {
// TODO CODE HERE
solve1216(i);
}
out.flush();
} catch (Exception e) {
System.exit(1);
}
}
final double pii = ((double) (2.)) * Math.acos(0);
public void solve1216(int kaseno) throws Exception {
int r1 = iread(), r2 = iread(), h = iread(), p = iread();
double R1 = (double) r2;
double R2 = ((double) ((r1 - r2) * p)) / h;
R2 += r2;
double H = (double) p;
double ret = pii * (R1 * R1 + R2 * R2 + R1 * R2) * H;
ret /= 3.;
Format df = new DecimalFormat("0.0000000000");
String res = df.format(ret);
out.write("Case " + kaseno + ": " + res + "\n");
}
public void debug(Object... o) {
System.err.println(Arrays.deepToString(o));
}
public int iread() throws Exception {
return Integer.parseInt(readword());
}
public double dread() throws Exception {
return Double.parseDouble(readword());
}
public long lread() throws Exception {
return Long.parseLong(readword());
}
BufferedReader in;
BufferedWriter out;
public String readword() throws IOException {
StringBuilder b = new StringBuilder();
int c;
c = in.read();
while (c >= 0 && c <= ' ') {
c = in.read();
}
if (c < 0) {
return "";
}
while (c > ' ') {
b.append((char) c);
c = in.read();
}
return b.toString();
}
}
/**
* 描画用マテリアル情報をMQOデータから作成
*
* @param mqomat MQOファイルから読み込んだマテリアル情報
* @param i_mqomat MQOファイルのマテリアル番号
* @param mqoObjs MQOファイルのオブジェクト情報
* @param vn 頂点法線配列
* @return 描画用マテリアル情報
*/
private GLMaterial makeMats(
GL10 gl, material mqomat, int i_mqomat, objects mqoObjs, KGLPoint[] vn) {
GLMaterial ret = new GLMaterial();
ArrayList<KGLPoint> apv = new ArrayList<KGLPoint>();
ArrayList<KGLPoint> apn = new ArrayList<KGLPoint>();
ArrayList<KGLPoint> apuv = new ArrayList<KGLPoint>();
ArrayList<KGLPoint> apc = new ArrayList<KGLPoint>();
KGLPoint wpoint = null;
boolean uvValid = false;
boolean colValid = false;
KGLPoint fn;
float s;
for (int f = 0; f < mqoObjs.face.length; f++) {
if (mqoObjs.face[f].M == null) {
continue;
}
if (mqoObjs.face[f].M != i_mqomat) continue;
fn =
calcNormal(
mqoObjs.vertex, mqoObjs.face[f].V[0], mqoObjs.face[f].V[1], mqoObjs.face[f].V[2]);
for (int v = 0; v < 3; v++) {
apv.add(mqoObjs.vertex[mqoObjs.face[f].V[v]]);
// apv.add(new KGLPoint(mqoObjs.vertex[mqoObjs.face[f].V[v]])) ;
s =
(float)
Math.acos(
fn.X() * vn[mqoObjs.face[f].V[v]].X()
+ fn.Y() * vn[mqoObjs.face[f].V[v]].Y()
+ fn.Z() * vn[mqoObjs.face[f].V[v]].Z());
if (mqoObjs.data.facet < s) {
apn.add(fn);
} else {
apn.add(vn[mqoObjs.face[f].V[v]]);
}
wpoint = new KGLPoint(2);
if (mqoObjs.face[f].UV == null) {
wpoint.set_UV(0, 0);
} else {
wpoint.set_UV(mqoObjs.face[f].UV[v * 2 + 0], mqoObjs.face[f].UV[v * 2 + 1]);
uvValid = true;
}
apuv.add(wpoint);
wpoint = new KGLPoint(4);
if (mqoObjs.face[f].COL == null) {
if (mqomat.data.col == null) {
wpoint.set_COLOR(1.0f, 1.0f, 1.0f, 1.0f);
} else {
wpoint.set_COLOR(
mqomat.data.col[0], mqomat.data.col[1], mqomat.data.col[2], mqomat.data.col[3]);
}
} else {
wpoint.set_COLOR(
mqoObjs.face[f].COL[v * 4 + 0],
mqoObjs.face[f].COL[v * 4 + 1],
mqoObjs.face[f].COL[v * 4 + 2],
mqoObjs.face[f].COL[v * 4 + 3]);
colValid = true;
}
apc.add(wpoint);
}
}
ret.texID = texPool.getGLTexture(gl, mqomat.data.tex, mqomat.data.aplane, false);
// @@@ reload 用
if (ret.texID != 0) {
ret.texName = mqomat.data.tex;
ret.alphaTexName = mqomat.data.aplane;
} else {
ret.texName = null;
ret.alphaTexName = null;
}
if (apv.size() == 0) return null;
uvValid &= (ret.texID != 0);
ret.name = mqomat.name;
// uvValid = false ;
KGLPoint[] wfv = null;
KGLPoint[] wfn = null;
KGLPoint[] wft = null;
KGLPoint[] wfc = null;
wfv = apv.toArray(new KGLPoint[0]);
wfn = apn.toArray(new KGLPoint[0]);
wft = apuv.toArray(new KGLPoint[0]);
wfc = apc.toArray(new KGLPoint[0]);
ret.vertex_num = wfv.length;
// @@@ interleaveFormat は無いので分ける
ret.uvValid = uvValid;
ret.colValid = colValid;
ret.vertexBuffer = ByteBuffer.allocateDirect(ret.vertex_num * 3 * 4);
ret.vertexBuffer.order(ByteOrder.nativeOrder());
ret.vertexBuffer.position(0);
ret.normalBuffer = ByteBuffer.allocateDirect(ret.vertex_num * 3 * 4);
ret.normalBuffer.order(ByteOrder.nativeOrder());
ret.normalBuffer.position(0);
if (uvValid) {
ret.uvBuffer = ByteBuffer.allocateDirect(ret.vertex_num * 2 * 4);
ret.uvBuffer.order(ByteOrder.nativeOrder());
ret.uvBuffer.position(0);
}
if (colValid) {
ret.colBuffer = ByteBuffer.allocateDirect(ret.vertex_num * 4 * 4);
ret.colBuffer.order(ByteOrder.nativeOrder());
ret.colBuffer.position(0);
}
// Log.i("KGLMetaseq", "vertex_num: "+ ret.vertex_num);
for (int v = 0; v < ret.vertex_num; v++) {
ret.vertexBuffer.putFloat(wfv[v].X());
ret.vertexBuffer.putFloat(wfv[v].Y());
ret.vertexBuffer.putFloat(wfv[v].Z());
ret.normalBuffer.putFloat(wfn[v].X());
ret.normalBuffer.putFloat(wfn[v].Y());
ret.normalBuffer.putFloat(wfn[v].Z());
if (uvValid) {
ret.uvBuffer.putFloat(wft[v].U());
ret.uvBuffer.putFloat(wft[v].V());
}
if (colValid) {
ret.colBuffer.putFloat(wfc[v].R());
ret.colBuffer.putFloat(wfc[v].G());
ret.colBuffer.putFloat(wfc[v].B());
ret.colBuffer.putFloat(wfc[v].A());
}
}
if (mqomat.data.col != null) {
ret.color = new float[mqomat.data.col.length];
for (int c = 0; c < mqomat.data.col.length; c++) {
ret.color[c] = mqomat.data.col[c];
}
if (mqomat.data.dif != null) {
ret.dif = new float[mqomat.data.col.length];
for (int c = 0; c < mqomat.data.col.length; c++) {
ret.dif[c] = mqomat.data.dif * mqomat.data.col[c];
}
// KEICHECK difでアルファ値を１未満にすると透明度が変化する？
ret.dif[3] = mqomat.data.col[3];
}
if (mqomat.data.amb != null) {
ret.amb = new float[mqomat.data.col.length];
for (int c = 0; c < mqomat.data.col.length; c++) {
ret.amb[c] = mqomat.data.amb * mqomat.data.col[c];
}
}
if (mqomat.data.emi != null) {
ret.emi = new float[mqomat.data.col.length];
for (int c = 0; c < mqomat.data.col.length; c++) {
ret.emi[c] = mqomat.data.emi * mqomat.data.col[c];
}
}
if (mqomat.data.spc != null) {
ret.spc = new float[mqomat.data.col.length];
for (int c = 0; c < mqomat.data.col.length; c++) {
ret.spc[c] = mqomat.data.spc * mqomat.data.col[c];
}
}
}
if (mqomat.data.pow != null) {
ret.power = new float[1];
ret.power[0] = mqomat.data.pow;
}
ret.shadeMode_IsSmooth = true; // defaultはtrue
if (mqoObjs.data.shading == 0) ret.shadeMode_IsSmooth = false;
return ret;
}
// To add/remove functions change evaluateOperator() and registration
public double evaluateFunction(String fncnam, ArgParser fncargs) throws ArithmeticException {
switch (Character.toLowerCase(fncnam.charAt(0))) {
case 'a':
{
if (fncnam.equalsIgnoreCase("abs")) {
return Math.abs(fncargs.next());
}
if (fncnam.equalsIgnoreCase("acos")) {
return Math.acos(fncargs.next());
}
if (fncnam.equalsIgnoreCase("asin")) {
return Math.asin(fncargs.next());
}
if (fncnam.equalsIgnoreCase("atan")) {
return Math.atan(fncargs.next());
}
}
break;
case 'c':
{
if (fncnam.equalsIgnoreCase("cbrt")) {
return Math.cbrt(fncargs.next());
}
if (fncnam.equalsIgnoreCase("ceil")) {
return Math.ceil(fncargs.next());
}
if (fncnam.equalsIgnoreCase("cos")) {
return Math.cos(fncargs.next());
}
if (fncnam.equalsIgnoreCase("cosh")) {
return Math.cosh(fncargs.next());
}
}
break;
case 'e':
{
if (fncnam.equalsIgnoreCase("exp")) {
return Math.exp(fncargs.next());
}
if (fncnam.equalsIgnoreCase("expm1")) {
return Math.expm1(fncargs.next());
}
}
break;
case 'f':
{
if (fncnam.equalsIgnoreCase("floor")) {
return Math.floor(fncargs.next());
}
}
break;
case 'g':
{
// if(fncnam.equalsIgnoreCase("getExponent" )) { return
// Math.getExponent(fncargs.next()); } needs Java 6
}
break;
case 'l':
{
if (fncnam.equalsIgnoreCase("log")) {
return Math.log(fncargs.next());
}
if (fncnam.equalsIgnoreCase("log10")) {
return Math.log10(fncargs.next());
}
if (fncnam.equalsIgnoreCase("log1p")) {
return Math.log1p(fncargs.next());
}
}
break;
case 'm':
{
if (fncnam.equalsIgnoreCase("max")) {
return Math.max(fncargs.next(), fncargs.next());
}
if (fncnam.equalsIgnoreCase("min")) {
return Math.min(fncargs.next(), fncargs.next());
}
}
break;
case 'n':
{
// if(fncnam.equalsIgnoreCase("nextUp" )) { return Math.nextUp
// (fncargs.next()); } needs Java 6
}
break;
case 'r':
{
if (fncnam.equalsIgnoreCase("random")) {
return Math.random();
} // impure
if (fncnam.equalsIgnoreCase("round")) {
return Math.round(fncargs.next());
}
if (fncnam.equalsIgnoreCase("roundHE")) {
return Math.rint(fncargs.next());
} // round half-even
}
break;
case 's':
{
if (fncnam.equalsIgnoreCase("signum")) {
return Math.signum(fncargs.next());
}
if (fncnam.equalsIgnoreCase("sin")) {
return Math.sin(fncargs.next());
}
if (fncnam.equalsIgnoreCase("sinh")) {
return Math.sinh(fncargs.next());
}
if (fncnam.equalsIgnoreCase("sqrt")) {
return Math.sqrt(fncargs.next());
}
}
break;
case 't':
{
if (fncnam.equalsIgnoreCase("tan")) {
return Math.tan(fncargs.next());
}
if (fncnam.equalsIgnoreCase("tanh")) {
return Math.tanh(fncargs.next());
}
if (fncnam.equalsIgnoreCase("toDegrees")) {
return Math.toDegrees(fncargs.next());
}
if (fncnam.equalsIgnoreCase("toRadians")) {
return Math.toRadians(fncargs.next());
}
}
break;
case 'u':
{
if (fncnam.equalsIgnoreCase("ulp")) {
return Math.ulp(fncargs.next());
}
}
break;
// no default
}
throw new UnsupportedOperationException(
"MathEval internal function setup is incorrect - internal function \""
+ fncnam
+ "\" not handled");
}
/**
* Angle (in radians) between two Pnts (treated as vectors).
*
* @param p the other Pnt
* @return the angle (in radians) between the two Pnts
*/
public float angle(Pnt p) {
return (float) Math.acos(this.dot(p) / (this.magnitude() * p.magnitude()));
}