#define_import_path bevy_pbr::shadows fn fetch_point_shadow(light_id: u32, frag_position: vec4, surface_normal: vec3) -> f32 { let light = point_lights.data[light_id]; // because the shadow maps align with the axes and the frustum planes are at 45 degrees // we can get the worldspace depth by taking the largest absolute axis let surface_to_light = light.position_radius.xyz - frag_position.xyz; let surface_to_light_abs = abs(surface_to_light); let distance_to_light = max(surface_to_light_abs.x, max(surface_to_light_abs.y, surface_to_light_abs.z)); // The normal bias here is already scaled by the texel size at 1 world unit from the light. // The texel size increases proportionally with distance from the light so multiplying by // distance to light scales the normal bias to the texel size at the fragment distance. let normal_offset = light.shadow_normal_bias * distance_to_light * surface_normal.xyz; let depth_offset = light.shadow_depth_bias * normalize(surface_to_light.xyz); let offset_position = frag_position.xyz + normal_offset + depth_offset; // similar largest-absolute-axis trick as above, but now with the offset fragment position let frag_ls = light.position_radius.xyz - offset_position.xyz; let abs_position_ls = abs(frag_ls); let major_axis_magnitude = max(abs_position_ls.x, max(abs_position_ls.y, abs_position_ls.z)); // NOTE: These simplifications come from multiplying: // projection * vec4(0, 0, -major_axis_magnitude, 1.0) // and keeping only the terms that have any impact on the depth. // Projection-agnostic approach: let zw = -major_axis_magnitude * light.light_custom_data.xy + light.light_custom_data.zw; let depth = zw.x / zw.y; // do the lookup, using HW PCF and comparison // NOTE: Due to the non-uniform control flow above, we must use the Level variant of // textureSampleCompare to avoid undefined behaviour due to some of the fragments in // a quad (2x2 fragments) being processed not being sampled, and this messing with // mip-mapping functionality. The shadow maps have no mipmaps so Level just samples // from LOD 0. #ifdef NO_ARRAY_TEXTURES_SUPPORT return textureSampleCompare(point_shadow_textures, point_shadow_textures_sampler, frag_ls, depth); #else return textureSampleCompareLevel(point_shadow_textures, point_shadow_textures_sampler, frag_ls, i32(light_id), depth); #endif } fn fetch_spot_shadow(light_id: u32, frag_position: vec4, surface_normal: vec3) -> f32 { let light = point_lights.data[light_id]; let surface_to_light = light.position_radius.xyz - frag_position.xyz; // construct the light view matrix var spot_dir = vec3(light.light_custom_data.x, 0.0, light.light_custom_data.y); // reconstruct spot dir from x/z and y-direction flag spot_dir.y = sqrt(1.0 - spot_dir.x * spot_dir.x - spot_dir.z * spot_dir.z); if ((light.flags & POINT_LIGHT_FLAGS_SPOT_LIGHT_Y_NEGATIVE) != 0u) { spot_dir.y = -spot_dir.y; } // view matrix z_axis is the reverse of transform.forward() let fwd = -spot_dir; let distance_to_light = dot(fwd, surface_to_light); let offset_position = -surface_to_light + (light.shadow_depth_bias * normalize(surface_to_light)) + (surface_normal.xyz * light.shadow_normal_bias) * distance_to_light; // the construction of the up and right vectors needs to precisely mirror the code // in render/light.rs:spot_light_view_matrix var sign = -1.0; if (fwd.z >= 0.0) { sign = 1.0; } let a = -1.0 / (fwd.z + sign); let b = fwd.x * fwd.y * a; let up_dir = vec3(1.0 + sign * fwd.x * fwd.x * a, sign * b, -sign * fwd.x); let right_dir = vec3(-b, -sign - fwd.y * fwd.y * a, fwd.y); let light_inv_rot = mat3x3(right_dir, up_dir, fwd); // because the matrix is a pure rotation matrix, the inverse is just the transpose, and to calculate // the product of the transpose with a vector we can just post-multiply instead of pre-multplying. // this allows us to keep the matrix construction code identical between CPU and GPU. let projected_position = offset_position * light_inv_rot; // divide xy by perspective matrix "f" and by -projected.z (projected.z is -projection matrix's w) // to get ndc coordinates let f_div_minus_z = 1.0 / (light.spot_light_tan_angle * -projected_position.z); let shadow_xy_ndc = projected_position.xy * f_div_minus_z; // convert to uv coordinates let shadow_uv = shadow_xy_ndc * vec2(0.5, -0.5) + vec2(0.5, 0.5); // 0.1 must match POINT_LIGHT_NEAR_Z let depth = 0.1 / -projected_position.z; #ifdef NO_ARRAY_TEXTURES_SUPPORT return textureSampleCompare(directional_shadow_textures, directional_shadow_textures_sampler, shadow_uv, depth); #else return textureSampleCompareLevel(directional_shadow_textures, directional_shadow_textures_sampler, shadow_uv, i32(light_id) + lights.spot_light_shadowmap_offset, depth); #endif } fn fetch_directional_shadow(light_id: u32, frag_position: vec4, surface_normal: vec3) -> f32 { let light = lights.directional_lights[light_id]; // The normal bias is scaled to the texel size. let normal_offset = light.shadow_normal_bias * surface_normal.xyz; let depth_offset = light.shadow_depth_bias * light.direction_to_light.xyz; let offset_position = vec4(frag_position.xyz + normal_offset + depth_offset, frag_position.w); let offset_position_clip = light.view_projection * offset_position; if (offset_position_clip.w <= 0.0) { return 1.0; } let offset_position_ndc = offset_position_clip.xyz / offset_position_clip.w; // No shadow outside the orthographic projection volume if (any(offset_position_ndc.xy < vec2(-1.0)) || offset_position_ndc.z < 0.0 || any(offset_position_ndc > vec3(1.0))) { return 1.0; } // compute texture coordinates for shadow lookup, compensating for the Y-flip difference // between the NDC and texture coordinates let flip_correction = vec2(0.5, -0.5); let light_local = offset_position_ndc.xy * flip_correction + vec2(0.5, 0.5); let depth = offset_position_ndc.z; // do the lookup, using HW PCF and comparison // NOTE: Due to non-uniform control flow above, we must use the level variant of the texture // sampler to avoid use of implicit derivatives causing possible undefined behavior. #ifdef NO_ARRAY_TEXTURES_SUPPORT return textureSampleCompareLevel(directional_shadow_textures, directional_shadow_textures_sampler, light_local, depth); #else return textureSampleCompareLevel(directional_shadow_textures, directional_shadow_textures_sampler, light_local, i32(light_id), depth); #endif }