Implementation
String shadowmap_pars_fragment = """
#ifdef USE_SHADOWMAP
#if NUM_DIR_LIGHT_SHADOWS > 0
uniform sampler2D directionalShadowMap[ NUM_DIR_LIGHT_SHADOWS ];
varying vec4 vDirectionalShadowCoord[ NUM_DIR_LIGHT_SHADOWS ];
struct DirectionalLightShadow {
float shadowBias;
float shadowNormalBias;
float shadowRadius;
vec2 shadowMapSize;
};
uniform DirectionalLightShadow directionalLightShadows[ NUM_DIR_LIGHT_SHADOWS ];
#endif
#if NUM_SPOT_LIGHT_SHADOWS > 0
uniform sampler2D spotShadowMap[ NUM_SPOT_LIGHT_SHADOWS ];
varying vec4 vSpotShadowCoord[ NUM_SPOT_LIGHT_SHADOWS ];
struct SpotLightShadow {
float shadowBias;
float shadowNormalBias;
float shadowRadius;
vec2 shadowMapSize;
};
uniform SpotLightShadow spotLightShadows[ NUM_SPOT_LIGHT_SHADOWS ];
#endif
#if NUM_POINT_LIGHT_SHADOWS > 0
uniform sampler2D pointShadowMap[ NUM_POINT_LIGHT_SHADOWS ];
varying vec4 vPointShadowCoord[ NUM_POINT_LIGHT_SHADOWS ];
struct PointLightShadow {
float shadowBias;
float shadowNormalBias;
float shadowRadius;
vec2 shadowMapSize;
float shadowCameraNear;
float shadowCameraFar;
};
uniform PointLightShadow pointLightShadows[ NUM_POINT_LIGHT_SHADOWS ];
#endif
/*
#if NUM_RECT_AREA_LIGHTS > 0
// TODO (abelnation): create uniforms for area light shadows
#endif
*/
float texture2DCompare( sampler2D depths, vec2 uv, float compare ) {
return step( compare, unpackRGBAToDepth( texture2D( depths, uv ) ) );
}
vec2 texture2DDistribution( sampler2D shadow, vec2 uv ) {
return unpackRGBATo2Half( texture2D( shadow, uv ) );
}
float VSMShadow (sampler2D shadow, vec2 uv, float compare ){
float occlusion = 1.0;
vec2 distribution = texture2DDistribution( shadow, uv );
float hard_shadow = step( compare , distribution.x ); // Hard Shadow
if (hard_shadow != 1.0 ) {
float distance = compare - distribution.x ;
float variance = max( 0.00000, distribution.y * distribution.y );
float softness_probability = variance / (variance + distance * distance ); // Chebeyshevs inequality
softness_probability = clamp( ( softness_probability - 0.3 ) / ( 0.95 - 0.3 ), 0.0, 1.0 ); // 0.3 reduces light bleed
occlusion = clamp( max( hard_shadow, softness_probability ), 0.0, 1.0 );
}
return occlusion;
}
float getShadow( sampler2D shadowMap, vec2 shadowMapSize, float shadowBias, float shadowRadius, vec4 shadowCoord ) {
float shadow = 1.0;
shadowCoord.xyz /= shadowCoord.w;
shadowCoord.z += shadowBias;
// if ( something && something ) breaks ATI OpenGL shader compiler
// if ( all( something, something ) ) using this instead
bvec4 inFrustumVec = bvec4 ( shadowCoord.x >= 0.0, shadowCoord.x <= 1.0, shadowCoord.y >= 0.0, shadowCoord.y <= 1.0 );
bool inFrustum = all( inFrustumVec );
bvec2 frustumTestVec = bvec2( inFrustum, shadowCoord.z <= 1.0 );
bool frustumTest = all( frustumTestVec );
if ( frustumTest ) {
#if defined( SHADOWMAP_TYPE_PCF )
vec2 texelSize = vec2( 1.0 ) / shadowMapSize;
float dx0 = - texelSize.x * shadowRadius;
float dy0 = - texelSize.y * shadowRadius;
float dx1 = + texelSize.x * shadowRadius;
float dy1 = + texelSize.y * shadowRadius;
float dx2 = dx0 / 2.0;
float dy2 = dy0 / 2.0;
float dx3 = dx1 / 2.0;
float dy3 = dy1 / 2.0;
shadow = (
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx0, dy0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx1, dy0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx2, dy2 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy2 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx3, dy2 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx0, 0.0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx2, 0.0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy, shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx3, 0.0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx1, 0.0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx2, dy3 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy3 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx3, dy3 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx0, dy1 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( 0.0, dy1 ), shadowCoord.z ) +
texture2DCompare( shadowMap, shadowCoord.xy + vec2( dx1, dy1 ), shadowCoord.z )
) * ( 1.0 / 17.0 );
#elif defined( SHADOWMAP_TYPE_PCF_SOFT )
vec2 texelSize = vec2( 1.0 ) / shadowMapSize;
float dx = texelSize.x;
float dy = texelSize.y;
vec2 uv = shadowCoord.xy;
vec2 f = fract( uv * shadowMapSize + 0.5 );
uv -= f * texelSize;
shadow = (
texture2DCompare( shadowMap, uv, shadowCoord.z ) +
texture2DCompare( shadowMap, uv + vec2( dx, 0.0 ), shadowCoord.z ) +
texture2DCompare( shadowMap, uv + vec2( 0.0, dy ), shadowCoord.z ) +
texture2DCompare( shadowMap, uv + texelSize, shadowCoord.z ) +
mix( texture2DCompare( shadowMap, uv + vec2( -dx, 0.0 ), shadowCoord.z ),
texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, 0.0 ), shadowCoord.z ),
f.x ) +
mix( texture2DCompare( shadowMap, uv + vec2( -dx, dy ), shadowCoord.z ),
texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, dy ), shadowCoord.z ),
f.x ) +
mix( texture2DCompare( shadowMap, uv + vec2( 0.0, -dy ), shadowCoord.z ),
texture2DCompare( shadowMap, uv + vec2( 0.0, 2.0 * dy ), shadowCoord.z ),
f.y ) +
mix( texture2DCompare( shadowMap, uv + vec2( dx, -dy ), shadowCoord.z ),
texture2DCompare( shadowMap, uv + vec2( dx, 2.0 * dy ), shadowCoord.z ),
f.y ) +
mix( mix( texture2DCompare( shadowMap, uv + vec2( -dx, -dy ), shadowCoord.z ),
texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, -dy ), shadowCoord.z ),
f.x ),
mix( texture2DCompare( shadowMap, uv + vec2( -dx, 2.0 * dy ), shadowCoord.z ),
texture2DCompare( shadowMap, uv + vec2( 2.0 * dx, 2.0 * dy ), shadowCoord.z ),
f.x ),
f.y )
) * ( 1.0 / 9.0 );
#elif defined( SHADOWMAP_TYPE_VSM )
shadow = VSMShadow( shadowMap, shadowCoord.xy, shadowCoord.z );
#else // no percentage-closer filtering:
shadow = texture2DCompare( shadowMap, shadowCoord.xy, shadowCoord.z );
#endif
}
return shadow;
}
// cubeToUV() maps a 3D direction vector suitable for cube texture mapping to a 2D
// vector suitable for 2D texture mapping. This code uses the following layout for the
// 2D texture:
//
// xzXZ
// y Y
//
// Y - Positive y direction
// y - Negative y direction
// X - Positive x direction
// x - Negative x direction
// Z - Positive z direction
// z - Negative z direction
//
// Source and test bed:
// https://gist.github.com/tschw/da10c43c467ce8afd0c4
vec2 cubeToUV( vec3 v, float texelSizeY ) {
// Number of texels to avoid at the edge of each square
vec3 absV = abs( v );
// Intersect unit cube
float scaleToCube = 1.0 / max( absV.x, max( absV.y, absV.z ) );
absV *= scaleToCube;
// Apply scale to avoid seams
// two texels less per square (one texel will do for NEAREST)
v *= scaleToCube * ( 1.0 - 2.0 * texelSizeY );
// Unwrap
// space: -1 ... 1 range for each square
//
// #X## dim := ( 4 , 2 )
// # # center := ( 1 , 1 )
vec2 planar = v.xy;
float almostATexel = 1.5 * texelSizeY;
float almostOne = 1.0 - almostATexel;
if ( absV.z >= almostOne ) {
if ( v.z > 0.0 )
planar.x = 4.0 - v.x;
} else if ( absV.x >= almostOne ) {
float signX = sign( v.x );
planar.x = v.z * signX + 2.0 * signX;
} else if ( absV.y >= almostOne ) {
float signY = sign( v.y );
planar.x = v.x + 2.0 * signY + 2.0;
planar.y = v.z * signY - 2.0;
}
// Transform to UV space
// scale := 0.5 / dim
// translate := ( center + 0.5 ) / dim
return vec2( 0.125, 0.25 ) * planar + vec2( 0.375, 0.75 );
}
float getPointShadow( sampler2D shadowMap, vec2 shadowMapSize, float shadowBias, float shadowRadius, vec4 shadowCoord, float shadowCameraNear, float shadowCameraFar ) {
vec2 texelSize = vec2( 1.0 ) / ( shadowMapSize * vec2( 4.0, 2.0 ) );
// for point lights, the uniform @vShadowCoord is re-purposed to hold
// the vector from the light to the world-space position of the fragment.
vec3 lightToPosition = shadowCoord.xyz;
// dp = normalized distance from light to fragment position
float dp = ( length( lightToPosition ) - shadowCameraNear ) / ( shadowCameraFar - shadowCameraNear ); // need to clamp?
dp += shadowBias;
// bd3D = base direction 3D
vec3 bd3D = normalize( lightToPosition );
#if defined( SHADOWMAP_TYPE_PCF ) || defined( SHADOWMAP_TYPE_PCF_SOFT ) || defined( SHADOWMAP_TYPE_VSM )
vec2 offset = vec2( - 1, 1 ) * shadowRadius * texelSize.y;
return (
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xyy, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yyy, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xyx, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yyx, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xxy, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yxy, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.xxx, texelSize.y ), dp ) +
texture2DCompare( shadowMap, cubeToUV( bd3D + offset.yxx, texelSize.y ), dp )
) * ( 1.0 / 9.0 );
#else // no percentage-closer filtering
return texture2DCompare( shadowMap, cubeToUV( bd3D, texelSize.y ), dp );
#endif
}
#endif
""";
