| public static TranslationMatrix ( float x, float y, float z ) : float[] | ||
| x | float | |
| y | float | |
| z | float | |
| return | float[] | |
public float[] TransformationMatrix(uint limb, uint frame)
{
if (frame >= Frames)
{
throw new ArgumentOutOfRangeException("frame", "Only {0} frames exist.".F(Frames));
}
if (limb >= Limbs)
{
throw new ArgumentOutOfRangeException("limb", "Only {1} limbs exist.".F(Limbs));
}
var l = limbData[limb];
var t = new float[16];
Array.Copy(transforms, 16 * (Limbs * frame + limb), t, 0, 16);
// Fix limb position
t[12] *= l.Scale * (l.Bounds[3] - l.Bounds[0]) / l.Size[0];
t[13] *= l.Scale * (l.Bounds[4] - l.Bounds[1]) / l.Size[1];
t[14] *= l.Scale * (l.Bounds[5] - l.Bounds[2]) / l.Size[2];
// Center, flip and scale
t = Util.MatrixMultiply(t, Util.TranslationMatrix(l.Bounds[0], l.Bounds[1], l.Bounds[2]));
t = Util.MatrixMultiply(Util.ScaleMatrix(l.Scale, -l.Scale, l.Scale), t);
return(t);
}
public ModelRenderProxy RenderAsync(
WorldRenderer wr, IEnumerable <ModelAnimation> models, WRot camera, float scale,
float[] groundNormal, WRot lightSource, float[] lightAmbientColor, float[] lightDiffuseColor,
PaletteReference color, PaletteReference normals, PaletteReference shadowPalette)
{
if (!isInFrame)
{
throw new InvalidOperationException("BeginFrame has not been called. You cannot render until a frame has been started.");
}
// Correct for inverted y-axis
var scaleTransform = Util.ScaleMatrix(scale, scale, scale);
// Correct for bogus light source definition
var lightYaw = Util.MakeFloatMatrix(new WRot(WAngle.Zero, WAngle.Zero, -lightSource.Yaw).AsMatrix());
var lightPitch = Util.MakeFloatMatrix(new WRot(WAngle.Zero, -lightSource.Pitch, WAngle.Zero).AsMatrix());
var shadowTransform = Util.MatrixMultiply(lightPitch, lightYaw);
var invShadowTransform = Util.MatrixInverse(shadowTransform);
var cameraTransform = Util.MakeFloatMatrix(camera.AsMatrix());
var invCameraTransform = Util.MatrixInverse(cameraTransform);
if (invCameraTransform == null)
{
throw new InvalidOperationException("Failed to invert the cameraTransform matrix during RenderAsync.");
}
// Sprite rectangle
var tl = new float2(float.MaxValue, float.MaxValue);
var br = new float2(float.MinValue, float.MinValue);
// Shadow sprite rectangle
var stl = new float2(float.MaxValue, float.MaxValue);
var sbr = new float2(float.MinValue, float.MinValue);
foreach (var m in models)
{
// Convert screen offset back to world coords
var offsetVec = Util.MatrixVectorMultiply(invCameraTransform, wr.ScreenVector(m.OffsetFunc()));
var offsetTransform = Util.TranslationMatrix(offsetVec[0], offsetVec[1], offsetVec[2]);
var worldTransform = m.RotationFunc().Aggregate(Util.IdentityMatrix(),
(x, y) => Util.MatrixMultiply(Util.MakeFloatMatrix(y.AsMatrix()), x));
worldTransform = Util.MatrixMultiply(scaleTransform, worldTransform);
worldTransform = Util.MatrixMultiply(offsetTransform, worldTransform);
var bounds = m.Model.Bounds(m.FrameFunc());
var worldBounds = Util.MatrixAABBMultiply(worldTransform, bounds);
var screenBounds = Util.MatrixAABBMultiply(cameraTransform, worldBounds);
var shadowBounds = Util.MatrixAABBMultiply(shadowTransform, worldBounds);
// Aggregate bounds rects
tl = float2.Min(tl, new float2(screenBounds[0], screenBounds[1]));
br = float2.Max(br, new float2(screenBounds[3], screenBounds[4]));
stl = float2.Min(stl, new float2(shadowBounds[0], shadowBounds[1]));
sbr = float2.Max(sbr, new float2(shadowBounds[3], shadowBounds[4]));
}
// Inflate rects to ensure rendering is within bounds
tl -= SpritePadding;
br += SpritePadding;
stl -= SpritePadding;
sbr += SpritePadding;
// Corners of the shadow quad, in shadow-space
var corners = new float[][]
{
new[] { stl.X, stl.Y, 0, 1 },
new[] { sbr.X, sbr.Y, 0, 1 },
new[] { sbr.X, stl.Y, 0, 1 },
new[] { stl.X, sbr.Y, 0, 1 }
};
var shadowScreenTransform = Util.MatrixMultiply(cameraTransform, invShadowTransform);
var shadowGroundNormal = Util.MatrixVectorMultiply(shadowTransform, groundNormal);
var screenCorners = new float3[4];
for (var j = 0; j < 4; j++)
{
// Project to ground plane
corners[j][2] = -(corners[j][1] * shadowGroundNormal[1] / shadowGroundNormal[2] +
corners[j][0] * shadowGroundNormal[0] / shadowGroundNormal[2]);
// Rotate to camera-space
corners[j] = Util.MatrixVectorMultiply(shadowScreenTransform, corners[j]);
screenCorners[j] = new float3(corners[j][0], corners[j][1], 0);
}
// Shadows are rendered at twice the resolution to reduce artifacts
Size spriteSize, shadowSpriteSize;
int2 spriteOffset, shadowSpriteOffset;
CalculateSpriteGeometry(tl, br, 1, out spriteSize, out spriteOffset);
CalculateSpriteGeometry(stl, sbr, 2, out shadowSpriteSize, out shadowSpriteOffset);
if (sheetBuilderForFrame == null)
{
sheetBuilderForFrame = new SheetBuilder(SheetType.BGRA, AllocateSheet);
}
var sprite = sheetBuilderForFrame.Allocate(spriteSize, 0, spriteOffset);
var shadowSprite = sheetBuilderForFrame.Allocate(shadowSpriteSize, 0, shadowSpriteOffset);
var sb = sprite.Bounds;
var ssb = shadowSprite.Bounds;
var spriteCenter = new float2(sb.Left + sb.Width / 2, sb.Top + sb.Height / 2);
var shadowCenter = new float2(ssb.Left + ssb.Width / 2, ssb.Top + ssb.Height / 2);
var translateMtx = Util.TranslationMatrix(spriteCenter.X - spriteOffset.X, renderer.SheetSize - (spriteCenter.Y - spriteOffset.Y), 0);
var shadowTranslateMtx = Util.TranslationMatrix(shadowCenter.X - shadowSpriteOffset.X, renderer.SheetSize - (shadowCenter.Y - shadowSpriteOffset.Y), 0);
var correctionTransform = Util.MatrixMultiply(translateMtx, FlipMtx);
var shadowCorrectionTransform = Util.MatrixMultiply(shadowTranslateMtx, ShadowScaleFlipMtx);
doRender.Add(Pair.New <Sheet, Action>(sprite.Sheet, () =>
{
foreach (var m in models)
{
// Convert screen offset to world offset
var offsetVec = Util.MatrixVectorMultiply(invCameraTransform, wr.ScreenVector(m.OffsetFunc()));
var offsetTransform = Util.TranslationMatrix(offsetVec[0], offsetVec[1], offsetVec[2]);
var rotations = m.RotationFunc().Aggregate(Util.IdentityMatrix(),
(x, y) => Util.MatrixMultiply(Util.MakeFloatMatrix(y.AsMatrix()), x));
var worldTransform = Util.MatrixMultiply(scaleTransform, rotations);
worldTransform = Util.MatrixMultiply(offsetTransform, worldTransform);
var transform = Util.MatrixMultiply(cameraTransform, worldTransform);
transform = Util.MatrixMultiply(correctionTransform, transform);
var shadow = Util.MatrixMultiply(shadowTransform, worldTransform);
shadow = Util.MatrixMultiply(shadowCorrectionTransform, shadow);
var lightTransform = Util.MatrixMultiply(Util.MatrixInverse(rotations), invShadowTransform);
var frame = m.FrameFunc();
for (uint i = 0; i < m.Model.Sections; i++)
{
var rd = m.Model.RenderData(i);
var t = m.Model.TransformationMatrix(i, frame);
var it = Util.MatrixInverse(t);
if (it == null)
{
throw new InvalidOperationException("Failed to invert the transformed matrix of frame {0} during RenderAsync.".F(i));
}
// Transform light vector from shadow -> world -> limb coords
var lightDirection = ExtractRotationVector(Util.MatrixMultiply(it, lightTransform));
Render(rd, wr.World.ModelCache, Util.MatrixMultiply(transform, t), lightDirection,
lightAmbientColor, lightDiffuseColor, color.TextureMidIndex, normals.TextureMidIndex);
// Disable shadow normals by forcing zero diffuse and identity ambient light
if (m.ShowShadow)
{
Render(rd, wr.World.ModelCache, Util.MatrixMultiply(shadow, t), lightDirection,
ShadowAmbient, ShadowDiffuse, shadowPalette.TextureMidIndex, normals.TextureMidIndex);
}
}
}
}));
var screenLightVector = Util.MatrixVectorMultiply(invShadowTransform, ZVector);
screenLightVector = Util.MatrixVectorMultiply(cameraTransform, screenLightVector);
return(new ModelRenderProxy(sprite, shadowSprite, screenCorners, -screenLightVector[2] / screenLightVector[1]));
}
public VoxelRenderProxy RenderAsync(WorldRenderer wr, IEnumerable <VoxelAnimation> voxels, WRot camera, float scale,
float[] groundNormal, WRot lightSource, float[] lightAmbientColor, float[] lightDiffuseColor,
PaletteReference color, PaletteReference normals, PaletteReference shadowPalette)
{
// Correct for inverted y-axis
var scaleTransform = Util.ScaleMatrix(scale, scale, scale);
// Correct for bogus light source definition
var lightYaw = Util.MakeFloatMatrix(new WRot(WAngle.Zero, WAngle.Zero, -lightSource.Yaw).AsMatrix());
var lightPitch = Util.MakeFloatMatrix(new WRot(WAngle.Zero, -lightSource.Pitch, WAngle.Zero).AsMatrix());
var shadowTransform = Util.MatrixMultiply(lightPitch, lightYaw);
var invShadowTransform = Util.MatrixInverse(shadowTransform);
var cameraTransform = Util.MakeFloatMatrix(camera.AsMatrix());
var invCameraTransform = Util.MatrixInverse(cameraTransform);
// Sprite rectangle
var tl = new float2(float.MaxValue, float.MaxValue);
var br = new float2(float.MinValue, float.MinValue);
// Shadow sprite rectangle
var stl = new float2(float.MaxValue, float.MaxValue);
var sbr = new float2(float.MinValue, float.MinValue);
foreach (var v in voxels)
{
// Convert screen offset back to world coords
var offsetVec = Util.MatrixVectorMultiply(invCameraTransform, wr.ScreenVector(v.OffsetFunc()));
var offsetTransform = Util.TranslationMatrix(offsetVec[0], offsetVec[1], offsetVec[2]);
var worldTransform = v.RotationFunc().Aggregate(Util.IdentityMatrix(),
(x, y) => Util.MatrixMultiply(Util.MakeFloatMatrix(y.AsMatrix()), x));
worldTransform = Util.MatrixMultiply(scaleTransform, worldTransform);
worldTransform = Util.MatrixMultiply(offsetTransform, worldTransform);
var bounds = v.Voxel.Bounds(v.FrameFunc());
var worldBounds = Util.MatrixAABBMultiply(worldTransform, bounds);
var screenBounds = Util.MatrixAABBMultiply(cameraTransform, worldBounds);
var shadowBounds = Util.MatrixAABBMultiply(shadowTransform, worldBounds);
// Aggregate bounds rects
tl = float2.Min(tl, new float2(screenBounds[0], screenBounds[1]));
br = float2.Max(br, new float2(screenBounds[3], screenBounds[4]));
stl = float2.Min(stl, new float2(shadowBounds[0], shadowBounds[1]));
sbr = float2.Max(sbr, new float2(shadowBounds[3], shadowBounds[4]));
}
// Inflate rects to ensure rendering is within bounds
tl -= spritePadding;
br += spritePadding;
stl -= spritePadding;
sbr += spritePadding;
// Corners of the shadow quad, in shadow-space
var corners = new float[][]
{
new float[] { stl.X, stl.Y, 0, 1 },
new float[] { sbr.X, sbr.Y, 0, 1 },
new float[] { sbr.X, stl.Y, 0, 1 },
new float[] { stl.X, sbr.Y, 0, 1 }
};
var shadowScreenTransform = Util.MatrixMultiply(cameraTransform, invShadowTransform);
var shadowGroundNormal = Util.MatrixVectorMultiply(shadowTransform, groundNormal);
var screenCorners = new float2[4];
for (var j = 0; j < 4; j++)
{
// Project to ground plane
corners[j][2] = -(corners[j][1] * shadowGroundNormal[1] / shadowGroundNormal[2] +
corners[j][0] * shadowGroundNormal[0] / shadowGroundNormal[2]);
// Rotate to camera-space
corners[j] = Util.MatrixVectorMultiply(shadowScreenTransform, corners[j]);
screenCorners[j] = new float2(corners[j][0], corners[j][1]);
}
// Shadows are rendered at twice the resolution to reduce artefacts
Size spriteSize, shadowSpriteSize;
int2 spriteOffset, shadowSpriteOffset;
CalculateSpriteGeometry(tl, br, 1, out spriteSize, out spriteOffset);
CalculateSpriteGeometry(stl, sbr, 2, out shadowSpriteSize, out shadowSpriteOffset);
var sprite = sheetBuilder.Allocate(spriteSize, spriteOffset);
var shadowSprite = sheetBuilder.Allocate(shadowSpriteSize, shadowSpriteOffset);
var sb = sprite.bounds;
var ssb = shadowSprite.bounds;
var spriteCenter = new float2(sb.Left + sb.Width / 2, sb.Top + sb.Height / 2);
var shadowCenter = new float2(ssb.Left + ssb.Width / 2, ssb.Top + ssb.Height / 2);
var translateMtx = Util.TranslationMatrix(spriteCenter.X - spriteOffset.X, Renderer.SheetSize - (spriteCenter.Y - spriteOffset.Y), 0);
var shadowTranslateMtx = Util.TranslationMatrix(shadowCenter.X - shadowSpriteOffset.X, Renderer.SheetSize - (shadowCenter.Y - shadowSpriteOffset.Y), 0);
var correctionTransform = Util.MatrixMultiply(translateMtx, flipMtx);
var shadowCorrectionTransform = Util.MatrixMultiply(shadowTranslateMtx, shadowScaleFlipMtx);
doRender.Add(Pair.New <Sheet, Action>(sprite.sheet, () =>
{
foreach (var v in voxels)
{
// Convert screen offset to world offset
var offsetVec = Util.MatrixVectorMultiply(invCameraTransform, wr.ScreenVector(v.OffsetFunc()));
var offsetTransform = Util.TranslationMatrix(offsetVec[0], offsetVec[1], offsetVec[2]);
var rotations = v.RotationFunc().Aggregate(Util.IdentityMatrix(),
(x, y) => Util.MatrixMultiply(Util.MakeFloatMatrix(y.AsMatrix()), x));
var worldTransform = Util.MatrixMultiply(scaleTransform, rotations);
worldTransform = Util.MatrixMultiply(offsetTransform, worldTransform);
var transform = Util.MatrixMultiply(cameraTransform, worldTransform);
transform = Util.MatrixMultiply(correctionTransform, transform);
var shadow = Util.MatrixMultiply(shadowTransform, worldTransform);
shadow = Util.MatrixMultiply(shadowCorrectionTransform, shadow);
var lightTransform = Util.MatrixMultiply(Util.MatrixInverse(rotations), invShadowTransform);
var frame = v.FrameFunc();
for (uint i = 0; i < v.Voxel.Limbs; i++)
{
var rd = v.Voxel.RenderData(i);
var t = v.Voxel.TransformationMatrix(i, frame);
// Transform light vector from shadow -> world -> limb coords
var lightDirection = ExtractRotationVector(Util.MatrixMultiply(Util.MatrixInverse(t), lightTransform));
Render(rd, Util.MatrixMultiply(transform, t), lightDirection,
lightAmbientColor, lightDiffuseColor, color.Index, normals.Index);
// Disable shadow normals by forcing zero diffuse and identity ambient light
Render(rd, Util.MatrixMultiply(shadow, t), lightDirection,
shadowAmbient, shadowDiffuse, shadowPalette.Index, normals.Index);
}
}
}));
var screenLightVector = Util.MatrixVectorMultiply(invShadowTransform, zVector);
screenLightVector = Util.MatrixVectorMultiply(cameraTransform, screenLightVector);
return(new VoxelRenderProxy(sprite, shadowSprite, screenCorners, -screenLightVector[2] / screenLightVector[1]));
}
