diff -r 000000000000 -r 1918ee327afb src/opengl/util/ellipse_aa.glsl --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/opengl/util/ellipse_aa.glsl Mon Jan 11 14:00:40 2010 +0000 @@ -0,0 +1,58 @@ +uniform vec3 inv_matrix_m0; +uniform vec3 inv_matrix_m1; +uniform vec3 inv_matrix_m2; + +uniform vec2 ellipse_offset; + +// ellipse equation + +// s^2/a^2 + t^2/b^2 = 1 +// +// implicit equation: +// g(s,t) = 1 - s^2/r_s^2 - t^2/r_t^2 + +// distance from ellipse: +// grad = [dg/dx dg/dy] +// d(s, t) ~= g(s, t) / |grad| + +// dg/dx = dg/ds * ds/dx + dg/dt * dt/dx +// dg/dy = dg/ds * ds/dy + dg/dt * dt/dy + +float ellipse_aa() +{ + mat3 mat; + + mat[0] = inv_matrix_m0; + mat[1] = inv_matrix_m1; + mat[2] = inv_matrix_m2; + + vec3 hcoords = mat * vec3(gl_FragCoord.xy + ellipse_offset, 1); + float inv_w = 1.0 / hcoords.z; + vec2 st = hcoords.xy * inv_w; + + vec4 xy = vec4(mat[0].xy, mat[1].xy); + vec2 h = vec2(mat[0].z, mat[1].z); + + vec4 dstdxy = (xy.xzyw - h.xyxy * st.xxyy) * inv_w; + + //dstdxy.x = (mat[0].x - mat[0].z * st.x) * inv_w; // ds/dx + //dstdxy.y = (mat[1].x - mat[1].z * st.x) * inv_w; // ds/dy + //dstdxy.z = (mat[0].y - mat[0].z * st.y) * inv_w; // dt/dx + //dstdxy.w = (mat[1].y - mat[1].z * st.y) * inv_w; // dt/dy + + vec2 inv_r = gl_TexCoord[0].xy; + vec2 n = st * inv_r; + float g = 1.0 - dot(n, n); + + vec2 dgdst = -2.0 * n * inv_r; + + vec2 grad = vec2(dot(dgdst, dstdxy.xz), + dot(dgdst, dstdxy.yw)); + + return smoothstep(-0.5, 0.5, g * inversesqrt(dot(grad, grad))); +} + +void main() +{ + gl_FragColor = ellipse_aa().xxxx; +}