spheres.vert.ts

/**
 * Copyright (c) 2019 mol* contributors, licensed under MIT, See LICENSE file for more info.
 *
 * @author Alexander Rose <alexander.rose@weirdbyte.de>
 */

export default `
precision highp float;
precision highp int;

#include common
#include read_from_texture
#include common_vert_params
#include color_vert_params
#include size_vert_params

uniform mat4 uModelView;
uniform mat4 uInvProjection;

attribute vec3 aPosition;
attribute vec2 aMapping;
attribute mat4 aTransform;
attribute float aInstance;
attribute float aGroup;

varying float vRadius;
varying float vRadiusSq;
varying vec3 vPoint;
varying vec3 vPointViewPosition;

#include matrix_scale

const mat4 D = mat4(
    1.0, 0.0, 0.0, 0.0,
    0.0, 1.0, 0.0, 0.0,
    0.0, 0.0, 1.0, 0.0,
    0.0, 0.0, 0.0, -1.0
);

/**
 * Compute point size and center using the technique described in:
 * "GPU-Based Ray-Casting of Quadratic Surfaces" http://dl.acm.org/citation.cfm?id=2386396
 * by Christian Sigg, Tim Weyrich, Mario Botsch, Markus Gross.
 */
void quadraticProjection(const in float radius, const in vec3 position){
    vec2 xbc, ybc;

    mat4 T = mat4(
        radius, 0.0, 0.0, 0.0,
        0.0, radius, 0.0, 0.0,
        0.0, 0.0, radius, 0.0,
        position.x, position.y, position.z, 1.0
    );

    mat4 R = transpose4(uProjection * uModelView * aTransform * T);
    float A = dot(R[3], D * R[3]);
    float B = -2.0 * dot(R[0], D * R[3]);
    float C = dot(R[0], D * R[0]);
    xbc[0] = (-B - sqrt(B * B - 4.0 * A * C)) / (2.0 * A);
    xbc[1] = (-B + sqrt(B * B - 4.0 * A * C)) / (2.0 * A);
    float sx = abs(xbc[0] - xbc[1]) * 0.5;

    A = dot(R[3], D * R[3]);
    B = -2.0 * dot(R[1], D * R[3]);
    C = dot(R[1], D * R[1]);
    ybc[0] = (-B - sqrt(B * B - 4.0 * A * C)) / (2.0 * A);
    ybc[1] = (-B + sqrt(B * B - 4.0 * A * C)) / (2.0 * A);
    float sy = abs(ybc[0] - ybc[1]) * 0.5;

    gl_Position.xy = vec2(0.5 * (xbc.x + xbc.y), 0.5 * (ybc.x + ybc.y));
    gl_Position.xy -= aMapping * vec2(sx, sy);
    gl_Position.xy *= gl_Position.w;
}


void main(void){
    #include assign_group
    #include assign_color_varying
    #include assign_marker_varying
    #include assign_size

    vRadius = size * matrixScale(uModelView);

    vec4 mvPosition = uModelView * aTransform * vec4(aPosition, 1.0);
    mvPosition.z -= vRadius; // avoid clipping, added again in fragment shader

    gl_Position = uProjection * vec4(mvPosition.xyz, 1.0);
    quadraticProjection(size, aPosition);

    vRadiusSq = vRadius * vRadius;
    vec4 vPoint4 = uInvProjection * gl_Position;
    vPoint = vPoint4.xyz / vPoint4.w;
    vPointViewPosition = -mvPosition.xyz / mvPosition.w;
}
`