////  util.cpp//  interface////  Created by Philip Rosedale on 8/24/12.//  Copyright (c) 2012 High Fidelity, Inc. All rights reserved.// #include <iostream>#include <cstring>#include <time.h>#include <math.h> #include <glm/glm.hpp>#include <glm/gtc/noise.hpp>#include <glm/gtx/quaternion.hpp> #include <AvatarData.h>#include <SharedUtil.h> #include "InterfaceConfig.h"#include "ui/TextRenderer.h"#include "VoxelConstants.h"#include "world.h" #include "Util.h" using namespace std; // no clue which versions are affected...#define WORKAROUND_BROKEN_GLUT_STROKES// see http://www.opengl.org/resources/libraries/glut/spec3/node78.html void eulerToOrthonormals(glm::vec3 * angles, glm::vec3 * front, glm::vec3 * right, glm::vec3 * up) {    //    //  Converts from three euler angles to the associated orthonormal vectors    //    //  Angles contains (pitch, yaw, roll) in radians    //        //  First, create the quaternion associated with these euler angles    glm::quat q(glm::vec3(angles->x, -(angles->y), angles->z));     //  Next, create a rotation matrix from that quaternion    glm::mat4 rotation;    rotation = glm::mat4_cast(q);        //  Transform the original vectors by the rotation matrix to get the new vectors    glm::vec4 qup(0,1,0,0);    glm::vec4 qright(-1,0,0,0);    glm::vec4 qfront(0,0,1,0);    glm::vec4 upNew    = qup*rotation;    glm::vec4 rightNew = qright*rotation;    glm::vec4 frontNew = qfront*rotation;        //  Copy the answers to output vectors    up->x = upNew.x;  up->y = upNew.y;  up->z = upNew.z;    right->x = rightNew.x;  right->y = rightNew.y;  right->z = rightNew.z;    front->x = frontNew.x;  front->y = frontNew.y;  front->z = frontNew.z;} void printVector(glm::vec3 vec) {    printf("%4.2f, %4.2f, %4.2f\n", vec.x, vec.y, vec.z);} //  Return the azimuth angle in degrees between two points.float azimuth_to(glm::vec3 head_pos, glm::vec3 source_pos) {    return atan2(head_pos.x - source_pos.x, head_pos.z - source_pos.z) * 180.0f / PIf;} //  Return the angle in degrees between the head and an object in the scene.  The value is zero if you are looking right at it.  The angle is negative if the object is to your right.   float angle_to(glm::vec3 head_pos, glm::vec3 source_pos, float render_yaw, float head_yaw) {    return atan2(head_pos.x - source_pos.x, head_pos.z - source_pos.z) * 180.0f / PIf + render_yaw + head_yaw;} //  Helper function returns the positive angle in degrees between two 3D vectors float angleBetween(const glm::vec3& v1, const glm::vec3& v2) {    return acos((glm::dot(v1, v2)) / (glm::length(v1) * glm::length(v2))) * 180.f / PIf;} //  Helper function return the rotation from the first vector onto the secondglm::quat rotationBetween(const glm::vec3& v1, const glm::vec3& v2) {    float angle = angleBetween(v1, v2);    if (isnan(angle) || angle < EPSILON) {        return glm::quat();    }    glm::vec3 axis;    if (angle > 179.99f) { // 180 degree rotation; must use another axis        axis = glm::cross(v1, glm::vec3(1.0f, 0.0f, 0.0f));        float axisLength = glm::length(axis);        if (axisLength < EPSILON) { // parallel to x; y will work            axis = glm::normalize(glm::cross(v1, glm::vec3(0.0f, 1.0f, 0.0f)));        } else {            axis /= axisLength;        }            } else {        axis = glm::normalize(glm::cross(v1, v2));    }    return glm::angleAxis(angle, axis);} //  Safe version of glm::eulerAngles; uses the factorization method described in David Eberly's//  http://www.geometrictools.com/Documentation/EulerAngles.pdf (via Clyde,// https://github.com/threerings/clyde/blob/master/src/main/java/com/threerings/math/Quaternion.java)glm::vec3 safeEulerAngles(const glm::quat& q) {    float sy = 2.0f * (q.y * q.w - q.x * q.z);    if (sy < 1.0f - EPSILON) {        if (sy > -1.0f + EPSILON) {            return glm::degrees(glm::vec3(                atan2f(q.y * q.z + q.x * q.w, 0.5f - (q.x * q.x + q.y * q.y)),                asinf(sy),                atan2f(q.x * q.y + q.z * q.w, 0.5f - (q.y * q.y + q.z * q.z))));                        } else {            // not a unique solution; x + z = atan2(-m21, m11)            return glm::degrees(glm::vec3(                0.0f,                PIf * -0.5f,                atan2f(q.x * q.w - q.y * q.z, 0.5f - (q.x * q.x + q.z * q.z))));        }    } else {        // not a unique solution; x - z = atan2(-m21, m11)        return glm::degrees(glm::vec3(            0.0f,            PIf * 0.5f,            -atan2f(q.x * q.w - q.y * q.z, 0.5f - (q.x * q.x + q.z * q.z))));    }} //  Safe version of glm::mix; based on the code in Nick Bobick's article,//  http://www.gamasutra.com/features/19980703/quaternions_01.htm (via Clyde,//  https://github.com/threerings/clyde/blob/master/src/main/java/com/threerings/math/Quaternion.java)glm::quat safeMix(const glm::quat& q1, const glm::quat& q2, float proportion) {    float cosa = q1.x * q2.x + q1.y * q2.y + q1.z * q2.z + q1.w * q2.w;    float ox = q2.x, oy = q2.y, oz = q2.z, ow = q2.w, s0, s1;     // adjust signs if necessary    if (cosa < 0.0f) {        cosa = -cosa;        ox = -ox;        oy = -oy;        oz = -oz;        ow = -ow;    }     // calculate coefficients; if the angle is too close to zero, we must fall back    // to linear interpolation    if ((1.0f - cosa) > EPSILON) {        float angle = acosf(cosa), sina = sinf(angle);        s0 = sinf((1.0f - proportion) * angle) / sina;        s1 = sinf(proportion * angle) / sina;            } else {        s0 = 1.0f - proportion;        s1 = proportion;    }     return glm::normalize(glm::quat(s0 * q1.w + s1 * ow, s0 * q1.x + s1 * ox, s0 * q1.y + s1 * oy, s0 * q1.z + s1 * oz));} //  Draw a 3D vector floating in spacevoid drawVector(glm::vec3 * vector) {    glDisable(GL_LIGHTING);    glEnable(GL_POINT_SMOOTH);    glPointSize(3.0);    glLineWidth(2.0);     //  Draw axes    glBegin(GL_LINES);    glColor3f(1,0,0);    glVertex3f(0,0,0);    glVertex3f(1,0,0);    glColor3f(0,1,0);    glVertex3f(0,0,0);    glVertex3f(0, 1, 0);    glColor3f(0,0,1);    glVertex3f(0,0,0);    glVertex3f(0, 0, 1);    glEnd();            // Draw the vector itself    glBegin(GL_LINES);    glColor3f(1,1,1);    glVertex3f(0,0,0);    glVertex3f(vector->x, vector->y, vector->z);    glEnd();        // Draw spheres for magnitude    glPushMatrix();    glColor3f(1,0,0);    glTranslatef(vector->x, 0, 0);    glutSolidSphere(0.02, 10, 10);    glColor3f(0,1,0);    glTranslatef(-vector->x, vector->y, 0);    glutSolidSphere(0.02, 10, 10);    glColor3f(0,0,1);    glTranslatef(0, -vector->y, vector->z);    glutSolidSphere(0.02, 10, 10);    glPopMatrix(); } //  Render a 2D set of squares using perlin/fractal noisevoid noiseTest(int w, int h) {    const float CELLS = 500;    const float NOISE_SCALE = 10.0;    float xStep = (float) w / CELLS;    float yStep = (float) h / CELLS;    glBegin(GL_QUADS);        for (float x = 0; x < (float)w; x += xStep) {        for (float y = 0; y < (float)h; y += yStep) {            //  Generate a vector varying between 0-1 corresponding to the screen location             glm::vec2 position(NOISE_SCALE * x / (float) w, NOISE_SCALE * y / (float) h);            //  Set the cell color using the noise value at that location            float color = glm::perlin(position);            glColor4f(color, color, color, 1.0);            glVertex2f(x, y);            glVertex2f(x + xStep, y);            glVertex2f(x + xStep, y + yStep);            glVertex2f(x, y + yStep);        }    }    glEnd();}    void renderWorldBox() {    //  Show edge of world    float red[] = {1, 0, 0};    float green[] = {0, 1, 0};    float blue[] = {0, 0, 1};    float gray[] = {0.5, 0.5, 0.5};        glDisable(GL_LIGHTING);    glLineWidth(1.0);    glBegin(GL_LINES);    glColor3fv(red);    glVertex3f(0, 0, 0);    glVertex3f(TREE_SCALE, 0, 0);    glColor3fv(green);    glVertex3f(0, 0, 0);    glVertex3f(0, TREE_SCALE, 0);    glColor3fv(blue);    glVertex3f(0, 0, 0);    glVertex3f(0, 0, TREE_SCALE);    glColor3fv(gray);    glVertex3f(0, 0, TREE_SCALE);    glVertex3f(TREE_SCALE, 0, TREE_SCALE);    glVertex3f(TREE_SCALE, 0, TREE_SCALE);    glVertex3f(TREE_SCALE, 0, 0);    glEnd();    //  Draw marker dots at very end    glEnable(GL_LIGHTING);    glPushMatrix();    glTranslatef(TREE_SCALE, 0, 0);    glColor3fv(red);    glutSolidSphere(0.125, 10, 10);    glPopMatrix();    glPushMatrix();    glTranslatef(0, TREE_SCALE, 0);    glColor3fv(green);    glutSolidSphere(0.125, 10, 10);    glPopMatrix();    glPushMatrix();    glTranslatef(0, 0, TREE_SCALE);    glColor3fv(blue);    glutSolidSphere(0.125, 10, 10);    glPopMatrix();    glPushMatrix();    glColor3fv(gray);    glTranslatef(TREE_SCALE, 0, TREE_SCALE);    glutSolidSphere(0.125, 10, 10);    glPopMatrix(); } double diffclock(timeval *clock1,timeval *clock2){	double diffms = (clock2->tv_sec - clock1->tv_sec) * 1000.0;    diffms += (clock2->tv_usec - clock1->tv_usec) / 1000.0;   // us to ms    	return diffms;} //  Return a random vector of average length 1const glm::vec3 randVector() {    return glm::vec3(randFloat() - 0.5f, randFloat() - 0.5f, randFloat() - 0.5f) * 2.f;} static TextRenderer* textRenderer(int mono) {    static TextRenderer* monoRenderer = new TextRenderer(MONO_FONT_FAMILY);    static TextRenderer* proportionalRenderer = new TextRenderer(SANS_FONT_FAMILY, -1, -1, false, TextRenderer::SHADOW_EFFECT);    return mono ? monoRenderer : proportionalRenderer;} int widthText(float scale, int mono, char const* string) {    return textRenderer(mono)->computeWidth(string) * (scale / 0.10);} float widthChar(float scale, int mono, char ch) {    return textRenderer(mono)->computeWidth(ch) * (scale / 0.10);} void drawtext(int x, int y, float scale, float rotate, float thick, int mono,              char const* string, float r, float g, float b) {    //    //  Draws text on screen as stroked so it can be resized    //    glPushMatrix();    glTranslatef(static_cast<float>(x), static_cast<float>(y), 0.0f);    glColor3f(r,g,b);    glRotated(rotate,0,0,1);    // glLineWidth(thick);    glScalef(scale / 0.10, scale / 0.10, 1.0);        textRenderer(mono)->draw(0, 0, string);        glPopMatrix(); } void drawvec3(int x, int y, float scale, float rotate, float thick, int mono, glm::vec3 vec, float r, float g, float b) {    //    //  Draws text on screen as stroked so it can be resized    //    char vectext[20];    sprintf(vectext,"%3.1f,%3.1f,%3.1f", vec.x, vec.y, vec.z);    int len, i;    glPushMatrix();    glTranslatef(static_cast<float>(x), static_cast<float>(y), 0);    glColor3f(r,g,b);    glRotated(180+rotate,0,0,1);    glRotated(180,0,1,0);    glLineWidth(thick);    glScalef(scale, scale, 1.0);    len = (int) strlen(vectext);	for (i = 0; i < len; i++) {        if (!mono) glutStrokeCharacter(GLUT_STROKE_ROMAN, int(vectext[i]));        else glutStrokeCharacter(GLUT_STROKE_MONO_ROMAN, int(vectext[i]));	}    glPopMatrix();}  void renderCollisionOverlay(int width, int height, float magnitude) {    const float MIN_VISIBLE_COLLISION = 0.01f;    if (magnitude > MIN_VISIBLE_COLLISION) {        glColor4f(0, 0, 0, magnitude);        glBegin(GL_QUADS);        glVertex2f(0, 0);        glVertex2d(width, 0);        glVertex2d(width, height);        glVertex2d(0, height);        glEnd();    }} void renderGroundPlaneGrid(float size, float impact) {    float IMPACT_SOUND_MAGNITUDE_FOR_RECOLOR = 1.f;	glLineWidth(2.0);    glm::vec4 impactColor(1, 0, 0, 1);    glm::vec3 lineColor(0.4, 0.5, 0.3);    glm::vec4 surfaceColor(0.5, 0.5, 0.5, 0.4);        glColor3fv(&lineColor.x);    for (float x = 0; x <= size; x++) {		glBegin(GL_LINES);		glVertex3f(x, 0, 0);		glVertex3f(x, 0, size);        glVertex3f(0, 0, x);		glVertex3f(size, 0, x);        glEnd();    }            // Draw the floor, colored for recent impact    glm::vec4 floorColor;    if (impact > IMPACT_SOUND_MAGNITUDE_FOR_RECOLOR) {        floorColor = impact * impactColor + (1.f - impact) * surfaceColor;    } else {        floorColor = surfaceColor;            }    glColor4fv(&floorColor.x);    glBegin(GL_QUADS);    glVertex3f(0, 0, 0);    glVertex3f(size, 0, 0);    glVertex3f(size, 0, size);    glVertex3f(0, 0, size);    glEnd();} void renderMouseVoxelGrid(const float& mouseVoxelX, const float& mouseVoxelY, const float& mouseVoxelZ, const float& mouseVoxelS) {    glm::vec3 origin = glm::vec3(mouseVoxelX, mouseVoxelY, mouseVoxelZ);     glLineWidth(3.0);        const int HALF_GRID_DIMENSIONS = 4;    glBegin(GL_LINES);     glm::vec3 xColor(0.0, 0.6, 0.0);    glColor3fv(&xColor.x);     glVertex3f(origin.x + HALF_GRID_DIMENSIONS * mouseVoxelS, 0, origin.z);    glVertex3f(origin.x - HALF_GRID_DIMENSIONS * mouseVoxelS, 0, origin.z);     glm::vec3 zColor(0.0, 0.0, 0.6);    glColor3fv(&zColor.x);     glVertex3f(origin.x, 0, origin.z + HALF_GRID_DIMENSIONS * mouseVoxelS);    glVertex3f(origin.x, 0, origin.z - HALF_GRID_DIMENSIONS * mouseVoxelS);     glm::vec3 yColor(0.6, 0.0, 0.0);    glColor3fv(&yColor.x);     glVertex3f(origin.x, 0, origin.z);    glVertex3f(origin.x, origin.y, origin.z);    glEnd();} void renderDiskShadow(glm::vec3 position, glm::vec3 upDirection, float radius, float darkness) {     glColor4f(0.0f, 0.0f, 0.0f, darkness);        int   num = 20;    float y  = 0.001f;    float x2 = 0.0f;    float z2 = radius;    float x1;    float z1;     glBegin(GL_TRIANGLES);                  for (int i=1; i<num+1; i++) {        x1 = x2;        z1 = z2;        float r = ((float)i / (float)num) * PIf * 2.0;        x2 = radius * sin(r);        z2 = radius * cos(r);                glVertex3f(position.x,      y, position.z     );             glVertex3f(position.x + x1, y, position.z + z1);             glVertex3f(position.x + x2, y, position.z + z2);     }        glEnd();}   void renderSphereOutline(glm::vec3 position, float radius, int numSides, glm::vec3 cameraPosition) {    glm::vec3 vectorToPosition(glm::normalize(position - cameraPosition));    glm::vec3 right = glm::cross(vectorToPosition, glm::vec3(0.0f, 1.0f, 0.0f));    glm::vec3 up    = glm::cross(right, vectorToPosition);        glBegin(GL_LINE_STRIP);                 for (int i=0; i<numSides+1; i++) {        float r = ((float)i / (float)numSides) * PIf * 2.0;        float s = radius * sin(r);        float c = radius * cos(r);            glVertex3f        (            position.x + right.x * s + up.x * c,             position.y + right.y * s + up.y * c,             position.z + right.z * s + up.z * c         );     }        glEnd();}  void renderCircle(glm::vec3 position, float radius, glm::vec3 surfaceNormal, int numSides) {    glm::vec3 perp1 = glm::vec3(surfaceNormal.y, surfaceNormal.z, surfaceNormal.x);    glm::vec3 perp2 = glm::vec3(surfaceNormal.z, surfaceNormal.x, surfaceNormal.y);        glBegin(GL_LINE_STRIP);                  for (int i=0; i<numSides+1; i++) {        float r = ((float)i / (float)numSides) * PIf * 2.0;        float s = radius * sin(r);        float c = radius * cos(r);        glVertex3f        (            position.x + perp1.x * s + perp2.x * c,             position.y + perp1.y * s + perp2.y * c,             position.z + perp1.z * s + perp2.z * c         );     }    glEnd();}  void renderOrientationDirections(glm::vec3 position, const glm::quat& orientation, float size) {	glm::vec3 pRight	= position + orientation * IDENTITY_RIGHT * size;	glm::vec3 pUp		= position + orientation * IDENTITY_UP    * size;	glm::vec3 pFront	= position + orientation * IDENTITY_FRONT * size;			glColor3f(1.0f, 0.0f, 0.0f);	glBegin(GL_LINE_STRIP);	glVertex3f(position.x, position.y, position.z);	glVertex3f(pRight.x, pRight.y, pRight.z);	glEnd();

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