osci-render/Source/visualiser/LineFragmentShader.glsl

std::string lineFragmentShader = R"(

#define EPS 1E-6
#define TAU 6.283185307179586
#define TAUR 2.5066282746310002
#define SQRT2 1.4142135623730951

uniform float uSize;
uniform float uIntensity;
uniform sampler2D uScreen;
varying float vSize;
varying vec4 uvl;
varying vec2 vTexCoord;

// A standard gaussian function, used for weighting samples
float gaussian(float x, float sigma) {
    return exp(-(x * x) / (2.0 * sigma * sigma)) / (TAUR * sigma);
}
               
// This approximates the error function, needed for the gaussian integral
float erf(float x) {
    float s = sign(x), a = abs(x);
    x = 1.0 + (0.278393 + (0.230389 + 0.078108 * (a * a)) * a) * a;
    x *= x;
    return s - s / (x * x);
}
               
               
void main() {
    float len = uvl.z;
    vec2 xy = uvl.xy;
    float brightness;
    
    float sigma = vSize/5.0;
    if (len < EPS) {
        // If the beam segment is too short, just calculate intensity at the position.
        brightness = gaussian(length(xy), sigma);
    } else {
        // Otherwise, use analytical integral for accumulated intensity.
        brightness = erf(xy.x/SQRT2/sigma) - erf((xy.x-len)/SQRT2/sigma);
        brightness *= exp(-xy.y*xy.y/(2.0*sigma*sigma))/2.0/len;
    }
                              
    brightness *= uvl.w;
    gl_FragColor = 2.0 * texture2D(uScreen, vTexCoord) * brightness;
    gl_FragColor.a = 1.0;
}

)";