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  • Algorithm for finding symmetries of a tree

    - by Paxinum
    I have n sectors, enumerated 0 to n-1 counterclockwise. The boundaries between these sectors are infinite branches (n of them). The sectors live in the complex plane, and for n even, sector 0 and n/2 are bisected by the real axis, and the sectors are evenly spaced. These branches meet at certain points, called junctions. Each junction is adjacent to a subset of the sectors (at least 3 of them). Specifying the junctions, (in pre-fix order, lets say, starting from junction adjacent to sector 0 and 1), and the distance between the junctions, uniquely describes the tree. Now, given such a representation, how can I see if it is symmetric wrt the real axis? For example, n=6, the tree (0,1,5)(1,2,4,5)(2,3,4) have three junctions on the real line, so it is symmetric wrt the real axis. If the distances between (015) and (1245) is equal to distance from (1245) to (234), this is also symmetric wrt the imaginary axis. The tree (0,1,5)(1,2,5)(2,4,5)(2,3,4) have 4 junctions, and this is never symmetric wrt either imaginary or real axis, but it has 180 degrees rotation symmetry if the distance between the first two and the last two junctions in the representation are equal. Edit: This is actually for my research. I have posted the question at mathoverflow as well, but my days in competition programming tells me that this is more like an IOI task. Code in mathematica would be excellent, but java, python, or any other language readable by a human suffices. Here are some examples (pretend the double edges are single and we have a tree) http://www2.math.su.se/~per/files.php?file=contr_ex_1.pdf http://www2.math.su.se/~per/files.php?file=contr_ex_2.pdf http://www2.math.su.se/~per/files.php?file=contr_ex_5.pdf Example 1 is described as (0,1,4)(1,2,4)(2,3,4)(0,4,5) with distances (2,1,3). Example 2 is described as (0,1,4)(1,2,4)(2,3,4)(0,4,5) with distances (2,1,1). Example 5 is described as (0,1,4,5)(1,2,3,4) with distances (2). So, given the description/representation, I want to find some algorithm to decide if it is symmetric wrt real, imaginary, and rotation 180 degrees. The last example have 180 degree symmetry. (These symmetries corresponds to special kinds of potential in the Schroedinger equation, which has nice properties in quantum mechanics.)

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  • rotate a plane around a diagonal

    - by compie
    I would like to rotate a plane, not around a single (X or Y) axis, but around the diagonal (45 degrees between X and Y). How do I calculate the Rx and Ry given the Rdiagonal? (Rdiagonal is the amount of rotation I would like to achieve around the diagonal axis).

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  • rotate and its properties

    - by faxtion
    When using -webkit-transform: rotate(-90deg); -moz-transform: rotate(-90deg); filter: progid:DXImageTransform.Microsoft.BasicImage(rotation=3);; does its properties rotate with it or do they stay the same, for example does the margin top become the left, or does margin top stay at the top? Think it's me being stupid but having some weird things happing when trying style the elements

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  • Multiline editable textarea in SVG

    - by Timo
    I'm trying to implement multiline editable textfield in SVG. I have the following code in http://jsfiddle.net/ca4d3/ : <svg width="1000" height="1000" overflow="scroll"> <g transform="rotate(5)"> <rect width="300" height="400" fill="#22DD22" fill-opacity="0.5"/> </g> <foreignObject x="10" y="10" overflow="visible" width="10000" height="10000" requiredFeatures="http://www.w3.org/TR/SVG11/feature#Extensibility"> <p style="display:table-cell;padding:10px;border:1px solid red; background-color:white;opacity:0.5;font-family:Verdana; font-size:20px;white-space: pre; word-wrap: normal; overflow: visible; overflow-y: visible; overflow-x:visible;" contentEditable="true" xmlns="http://www.w3.org/1999/xhtml"> Write here some text. Be smart and select some word. If you wanna be really COOL, paste here something cool! </p> </foreignObject> </svg> In newest Chrome, Safari and Firefox the code works in some way, but in Opera and IE 9 not. The goal is that: 0) Works in newest Chrome, Safari, Firefox, Opera and IE and if ever possible in some pads. 1) White-spaces are preserved and text wraps only on newline char (works in Chrome, Safari and Firefox, but not in Opera and IE 9 *). 2) The textfield is editable (in the same reliable and stabile way as textareas and contenteditable p elements in html) and height and width is expanded to fit text (works in Chrome, Safari and Firefox, but not in Opera and IE 9 *). 3) Texfield can be transformed (rotated, skewed, translated) while maintaining text editability (Tested rotation, but not work in any browser *). EDIT: Foreignobject rotation works on Firefox 15.0.1, but not in Safari 5.1.7 (6534.57.2), Chrome 22.0.1229.79, Opera 12.02, IE 9. Tested on Mac OS X 10.6.8. 4) Textfield can be clipped and masked while not necessarily maintaining text editability (not yet tested). *) using above code These all can be achieved using Flash, but Flash has so severe problems that it is not suitable for my purposes (after every little change in code, all have to be compiled again using Flex, which is slow, font size has limits, tracking technique is pixeloriented, not relative to em size etc.) and there still are differences across platforms. And I want to give a try to SVG! GUESTION: Can I achieve my goals 0-4 with current SVG support in browsers? Is coming SVG 2.0 for some help in this case? EDIT: Changed display:table to display:table-cell (and added new jsfiddle), because display:table made the field to loses focus when pressed arrow-up on first text row.

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  • can not access MovieClip properties in flashDevelop

    - by numerical25
    I know there is something I am doing wrong. In my controls I have keydown events that control my hero. As of right now, I am trying to rotate my hero but he refuses to turn . Below is my Hero Class, my control class, and gameobject class. pretty much all the classes associate with the controls class. package com.Objects { import com.Objects.GameObject; /** * ... * @author Anthony Gordon */ [Embed(source='../../../bin/Assets.swf', symbol='OuterRim')] public class Hero extends GameObject { public function Hero() { } } } Here is my Controls class. This is the class where I am trying to rotate my hero but he doesnt. The keydown event does work cause I trace it. package com.Objects { import com.Objects.Hero; import flash.events.*; import flash.display.MovieClip; /** * ... * @author Anthony Gordon */ public class Controls extends GameObject { private var aKeyPress:Array; public var ship:Hero; public function Controls(ship:Hero) { this.ship = ship; IsDisplay = false; aKeyPress = new Array(); engine.sr.addEventListener(KeyboardEvent.KEY_DOWN, keyDownListener); engine.sr.addEventListener(KeyboardEvent.KEY_UP,keyUpListener); } private function keyDownListener(e:KeyboardEvent):void { //trace("down e.keyCode=" + e.keyCode); aKeyPress[e.keyCode] = true; trace(e.keyCode); } private function keyUpListener(e:KeyboardEvent):void { //trace("up e.keyCode=" + e.keyCode); aKeyPress[e.keyCode]=false; } override public function UpdateObject():void { Update(); } private function Update():void { if (aKeyPress[37])//Key press left ship.rotation += 3,trace(ship.rotation ); ///DOESNT ROtate }//End Controls } } Here is GameObject Class package com.Objects { import com.Objects.Engine; import com.Objects.IGameObject; import flash.display.MovieClip; /** * ... * @author Anthony Gordon */ public class GameObject extends MovieClip implements IGameObject { private var isdisplay:Boolean = true; private var garbage:Boolean; public static var engine:Engine; public var layer:Number = 0; public function GameObject() { } public function UpdateObject():void { } public function GarbageCollection():void { } public function set Garbage(garb:Boolean):void { garbage = garb; } public function get Garbage():Boolean { return garbage } public function get IsDisplay():Boolean { return isdisplay; } public function set IsDisplay(display:Boolean):void { isdisplay = display; } public function set Layer(l:Number):void { layer = l; } public function get Layer():Number { return layer } } }

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  • UITableView : detecting click on '-' button in edit mode

    - by synthez84
    Hi all, On my iphone app, I have a UITableView in edit mode, containing custom UITableViewCell. I would like to detect when user has clicked on the left button of each cell (minus circular red button, the one that is animated with a rotation), just before the "Delete" button appears. I would like to be able to change my cell content in that case... Is that possible ? Thanks !

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  • Resizing a drawing area in GTK

    - by Pieter
    My application performs a 90 degree rotation on a drawing area, so the width and height of the drawing area need to be swapped. How can I resize the drawing area with GTK in a way so that the new width and height are actually enforced, not just requested?

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  • Jquery UI Tabs, control variable lenght spent on each tab?

    - by Robin
    I'm trying the following to control the speed of rotation of the tabs but with no luck, any ideas? $('#featured').tabs({ onShow: function(event, ui) { if(ui.index == 0)> { $('#featured').tabs("rotate", 2000, true); } else if(ui.index == 1){ $('#featured').tabs("rotate", 5000, true); } else if(ui.index == 2){ $('#featured').tabs("rotate", 10000, true); } } });

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  • iphone sdk: autorotate jumps back up the page, showing information that has already been read...

    - by jonathan
    Hi, I am using - (BOOL)shouldAutorotateToInterfaceOrientation:(UIInterfaceOrientation)interfaceOrientation{ return YES; } to allow rotation, which works fine - except that the landscape view jumps backwards up the page that is being displayed. I can't figure out what I should be looking at to fix it. I just want the page to rotate where it is. Any pointers would be great. Am a noob, as is probably clear. Thanks Jonathan

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  • How to do motion tracking of a object using video

    - by Niroshan
    Could someone direct me to a tutorial or guide me how to track motion of a object moving with 6 DOF. I am planing to use a video stream of a moving toy car. I want to calculate displacement and rotation angle of the toy car. I came across some research papers but couldn't find any libraries to the job. Is there a way to do this using OpenCV or Matlab or some other freely available software? Thank you

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  • Tool to generated rotated versions of an image

    - by John
    In sprite-based systems, it's common to fake rotation of a sprite by having many different images, each showing it rotated an extra few degrees. Is there any free tool which will take a single image, and output a single image containing several rotations? It should also ideally let us control how many images are in each row. e.g if I have a 32x32 sprite and I want it rotated at 10 degree intervals, the tool might generate a 320x32 file or a 160x64 file

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  • Run-Time Check Failure #2 - Stack around the variable 'indices' was corrupted.

    - by numerical25
    well I think I know what the problem is. I am just having a hard time debugging it. I am working with the directx api and I am trying to generate a plane along the x and z axis according to a book I have. The problem is when I am creating my indices. I think I am setting values out of the bounds of the indices array. I am just having a hard time figuring out what I did wrong. I am unfamiliar with the this method of generating a plane. so its a little difficult for me. below is my code. Take emphasis on the indices loop. #include "MyGame.h" //#include "CubeVector.h" /* This code sets a projection and shows a turning cube. What has been added is the project, rotation and a rasterizer to change the rasterization of the cube. The issue that was going on was something with the effect file which was causing the vertices not to be rendered correctly.*/ typedef struct { ID3D10Effect* pEffect; ID3D10EffectTechnique* pTechnique; //vertex information ID3D10Buffer* pVertexBuffer; ID3D10Buffer* pIndicesBuffer; ID3D10InputLayout* pVertexLayout; UINT numVertices; UINT numIndices; }ModelObject; ModelObject modelObject; // World Matrix D3DXMATRIX WorldMatrix; // View Matrix D3DXMATRIX ViewMatrix; // Projection Matrix D3DXMATRIX ProjectionMatrix; ID3D10EffectMatrixVariable* pProjectionMatrixVariable = NULL; //grid information #define NUM_COLS 16 #define NUM_ROWS 16 #define CELL_WIDTH 32 #define CELL_HEIGHT 32 #define NUM_VERTSX (NUM_COLS + 1) #define NUM_VERTSY (NUM_ROWS + 1) bool MyGame::InitDirect3D() { if(!DX3dApp::InitDirect3D()) { return false; } D3D10_RASTERIZER_DESC rastDesc; rastDesc.FillMode = D3D10_FILL_WIREFRAME; rastDesc.CullMode = D3D10_CULL_FRONT; rastDesc.FrontCounterClockwise = true; rastDesc.DepthBias = false; rastDesc.DepthBiasClamp = 0; rastDesc.SlopeScaledDepthBias = 0; rastDesc.DepthClipEnable = false; rastDesc.ScissorEnable = false; rastDesc.MultisampleEnable = false; rastDesc.AntialiasedLineEnable = false; ID3D10RasterizerState *g_pRasterizerState; mpD3DDevice->CreateRasterizerState(&rastDesc, &g_pRasterizerState); mpD3DDevice->RSSetState(g_pRasterizerState); // Set up the World Matrix D3DXMatrixIdentity(&WorldMatrix); D3DXMatrixLookAtLH(&ViewMatrix, new D3DXVECTOR3(0.0f, 10.0f, -20.0f), new D3DXVECTOR3(0.0f, 0.0f, 0.0f), new D3DXVECTOR3(0.0f, 1.0f, 0.0f)); // Set up the projection matrix D3DXMatrixPerspectiveFovLH(&ProjectionMatrix, (float)D3DX_PI * 0.5f, (float)mWidth/(float)mHeight, 0.1f, 100.0f); if(!CreateObject()) { return false; } return true; } //These are actions that take place after the clearing of the buffer and before the present void MyGame::GameDraw() { static float rotationAngle = 0.0f; // create the rotation matrix using the rotation angle D3DXMatrixRotationY(&WorldMatrix, rotationAngle); rotationAngle += (float)D3DX_PI * 0.0f; // Set the input layout mpD3DDevice->IASetInputLayout(modelObject.pVertexLayout); // Set vertex buffer UINT stride = sizeof(VertexPos); UINT offset = 0; mpD3DDevice->IASetVertexBuffers(0, 1, &modelObject.pVertexBuffer, &stride, &offset); mpD3DDevice->IASetIndexBuffer(modelObject.pIndicesBuffer, DXGI_FORMAT_R32_UINT, 0); // Set primitive topology mpD3DDevice->IASetPrimitiveTopology(D3D10_PRIMITIVE_TOPOLOGY_TRIANGLELIST); // Combine and send the final matrix to the shader D3DXMATRIX finalMatrix = (WorldMatrix * ViewMatrix * ProjectionMatrix); pProjectionMatrixVariable->SetMatrix((float*)&finalMatrix); // make sure modelObject is valid // Render a model object D3D10_TECHNIQUE_DESC techniqueDescription; modelObject.pTechnique->GetDesc(&techniqueDescription); // Loop through the technique passes for(UINT p=0; p < techniqueDescription.Passes; ++p) { modelObject.pTechnique->GetPassByIndex(p)->Apply(0); // draw the cube using all 36 vertices and 12 triangles mpD3DDevice->DrawIndexed(modelObject.numIndices,0,0); } } //Render actually incapsulates Gamedraw, so you can call data before you actually clear the buffer or after you //present data void MyGame::Render() { DX3dApp::Render(); } bool MyGame::CreateObject() { VertexPos vertices[NUM_VERTSX * NUM_VERTSY]; for(int z=0; z < NUM_VERTSY; ++z) { for(int x = 0; x < NUM_VERTSX; ++x) { vertices[x + z * NUM_VERTSX].pos.x = (float)x * CELL_WIDTH; vertices[x + z * NUM_VERTSX].pos.z = (float)z * CELL_HEIGHT; vertices[x + z * NUM_VERTSX].pos.y = 0.0f; vertices[x + z * NUM_VERTSX].color = D3DXVECTOR4(1.0, 0.0f, 0.0f, 0.0f); } } DWORD indices[NUM_VERTSX * NUM_VERTSY]; int curIndex = 0; for(int z=0; z < NUM_ROWS; ++z) { for(int x = 0; x < NUM_COLS; ++x) { int curVertex = x + (z * NUM_VERTSX); indices[curIndex] = curVertex; indices[curIndex + 1] = curVertex + NUM_VERTSX; indices[curIndex + 2] = curVertex + 1; indices[curIndex + 3] = curVertex + 1; indices[curIndex + 4] = curVertex + NUM_VERTSX; indices[curIndex + 5] = curVertex + NUM_VERTSX + 1; curIndex += 6; } } //Create Layout D3D10_INPUT_ELEMENT_DESC layout[] = { {"POSITION",0,DXGI_FORMAT_R32G32B32_FLOAT, 0 , 0, D3D10_INPUT_PER_VERTEX_DATA, 0}, {"COLOR",0,DXGI_FORMAT_R32G32B32A32_FLOAT, 0 , 12, D3D10_INPUT_PER_VERTEX_DATA, 0} }; UINT numElements = (sizeof(layout)/sizeof(layout[0])); modelObject.numVertices = sizeof(vertices)/sizeof(VertexPos); //Create buffer desc D3D10_BUFFER_DESC bufferDesc; bufferDesc.Usage = D3D10_USAGE_DEFAULT; bufferDesc.ByteWidth = sizeof(VertexPos) * modelObject.numVertices; bufferDesc.BindFlags = D3D10_BIND_VERTEX_BUFFER; bufferDesc.CPUAccessFlags = 0; bufferDesc.MiscFlags = 0; D3D10_SUBRESOURCE_DATA initData; initData.pSysMem = vertices; //Create the buffer HRESULT hr = mpD3DDevice->CreateBuffer(&bufferDesc, &initData, &modelObject.pVertexBuffer); if(FAILED(hr)) return false; modelObject.numIndices = sizeof(indices)/sizeof(DWORD); bufferDesc.ByteWidth = sizeof(DWORD) * modelObject.numIndices; bufferDesc.BindFlags = D3D10_BIND_INDEX_BUFFER; initData.pSysMem = indices; hr = mpD3DDevice->CreateBuffer(&bufferDesc, &initData, &modelObject.pIndicesBuffer); if(FAILED(hr)) return false; ///////////////////////////////////////////////////////////////////////////// //Set up fx files LPCWSTR effectFilename = L"effect.fx"; modelObject.pEffect = NULL; hr = D3DX10CreateEffectFromFile(effectFilename, NULL, NULL, "fx_4_0", D3D10_SHADER_ENABLE_STRICTNESS, 0, mpD3DDevice, NULL, NULL, &modelObject.pEffect, NULL, NULL); if(FAILED(hr)) return false; pProjectionMatrixVariable = modelObject.pEffect->GetVariableByName("Projection")->AsMatrix(); //Dont sweat the technique. Get it! LPCSTR effectTechniqueName = "Render"; modelObject.pTechnique = modelObject.pEffect->GetTechniqueByName(effectTechniqueName); if(modelObject.pTechnique == NULL) return false; //Create Vertex layout D3D10_PASS_DESC passDesc; modelObject.pTechnique->GetPassByIndex(0)->GetDesc(&passDesc); hr = mpD3DDevice->CreateInputLayout(layout, numElements, passDesc.pIAInputSignature, passDesc.IAInputSignatureSize, &modelObject.pVertexLayout); if(FAILED(hr)) return false; return true; }

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  • C# rotate a string 180 degrees

    - by Tom
    Hi im having a few problems rotating a string, i found that you need graphics.rotate() but when i change the rotation, i cannot even see the string. It appears the pivot point has completely thrown me. Also i saw an example with transform but i decided i did not need this? If my string was a graph label, reading top to bottom and i needed to rotate it 180 degrees so that it read bottom to top, how would i do this? Thanks in advance

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  • UIView surface Detection

    - by Sanjay Darshil
    In my code I crated two UIView View1 and View2 out of which View2 rotates on finger touch using CGAffineTransform and View1 is drawn like Arrow shaped (triangle) using CGContext. The View1 is steady view (fixed) which Points (shown directed Up) to the Surface of View2 , So I want to detect the View2 surface points when it stopped rotation and appears in front of the view1. How can I made this possible to detect the UIView Surface when it appears in front of another UIView?

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  • What happens to thread as onDestroy is called when device is rotated

    - by Lakshmie
    I would like to know as to what will happen to the thread which has been created by an activity and the device is rotated. I have observed that the onDestroy method is called when this happens. Will the thread be killed too? If the thread is not killed, how can I reassociate the thread with the activity as a new instance of the activity is created on rotation. Thanks, Lakshmie

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  • Can a JPEG compressed image be rotated without a loss in quality?

    - by Mat
    JPEG is a lossy compression scheme, so decompression-manipulation-recompression normally reduces the image quality further for each step. Is it possible to rotate a JPEG image without incurring further loss? From what little I know of the JPEG algorithm, it naively seems possible to avoid further loss with a bit of effort. Which common image manipulation programs (e.g. GIMP, Paint Shop Pro, Windows Photo Gallery) and graphic libraries cause quality loss when performing a rotation and which don't?

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  • Finding whether a point lies inside a rectangle or not

    - by avd
    The rectangle can be oriented in any way...need not be axis aligned. Now I want to find whether a point lies inside the rectangle or not. One method I could think of was to rotate the rectangle and point coordinates to make the rectangle axis aligned and then by simply testing the coordinates of point whether they lies within that of rectangle's or not. The above method requires rotation and hence floating point operations. Is there any other efficient way to do this??

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  • OpenCV haar training for static image

    - by Evl-ntnt
    I trying to train haar cascade classificator for card suite detection (which no rotation and has no distortion on image) For example I have file Clubs.png which contents clubs image on white background 20x20 pixels This tutorial is so tangled http://note.sonots.com/SciSoftware/haartraining.html My image varies only in sizes, no distortion or angling. Which commands I must enter in aim to get Clubs.xml file?

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