| public static MatrixVectorMultiply ( float mtx, float vec ) : float[] | ||
| mtx | float | |
| vec | float | |
| return | float[] | |
static void DrawBoundsBox(float2 pxPos, float[] transform, float[] bounds, Color c)
{
var corners = new float2[8];
for (var i = 0; i < 8; i++)
{
var vec = new float[] { bounds[ix[i]], bounds[iy[i]], bounds[iz[i]], 1 };
var screen = Util.MatrixVectorMultiply(transform, vec);
corners[i] = pxPos + new float2(screen[0], screen[1]);
}
Game.Renderer.WorldLineRenderer.DrawLine(corners[0], corners[1], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[1], corners[3], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[3], corners[2], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[2], corners[0], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[4], corners[5], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[5], corners[7], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[7], corners[6], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[6], corners[4], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[0], corners[4], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[1], corners[5], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[2], corners[6], c, c);
Game.Renderer.WorldLineRenderer.DrawLine(corners[3], corners[7], c, c);
}
public static float[] MatrixAABBMultiply(float[] mtx, float[] bounds)
{
// Corner offsets
var ix = new uint[] { 0, 0, 0, 0, 3, 3, 3, 3 };
var iy = new uint[] { 1, 1, 4, 4, 1, 1, 4, 4 };
var iz = new uint[] { 2, 5, 2, 5, 2, 5, 2, 5 };
// Vectors to opposing corner
var ret = new float[] { float.MaxValue, float.MaxValue, float.MaxValue,
float.MinValue, float.MinValue, float.MinValue };
// Transform vectors and find new bounding box
for (var i = 0; i < 8; i++)
{
var vec = new float[] { bounds[ix[i]], bounds[iy[i]], bounds[iz[i]], 1 };
var tvec = Util.MatrixVectorMultiply(mtx, vec);
ret[0] = Math.Min(ret[0], tvec[0] / tvec[3]);
ret[1] = Math.Min(ret[1], tvec[1] / tvec[3]);
ret[2] = Math.Min(ret[2], tvec[2] / tvec[3]);
ret[3] = Math.Max(ret[3], tvec[0] / tvec[3]);
ret[4] = Math.Max(ret[4], tvec[1] / tvec[3]);
ret[5] = Math.Max(ret[5], tvec[2] / tvec[3]);
}
return(ret);
}
static float[] ExtractRotationVector(float[] mtx)
{
var tVec = Util.MatrixVectorMultiply(mtx, ZVector);
var tOrigin = Util.MatrixVectorMultiply(mtx, ZeroVector);
tVec[0] -= tOrigin[0] * tVec[3] / tOrigin[3];
tVec[1] -= tOrigin[1] * tVec[3] / tOrigin[3];
tVec[2] -= tOrigin[2] * tVec[3] / tOrigin[3];
// Renormalize
var w = (float)Math.Sqrt(tVec[0] * tVec[0] + tVec[1] * tVec[1] + tVec[2] * tVec[2]);
tVec[0] /= w;
tVec[1] /= w;
tVec[2] /= w;
tVec[3] = 1f;
return(tVec);
}
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]));
}