TerrainEngine.cginc

#ifndef TERRAIN_ENGINE_INCLUDED
#define TERRAIN_ENGINE_INCLUDED

// Terrain engine shader helpers

CBUFFER_START(UnityTerrain)
	// grass
	fixed4 _WavingTint;
	float4 _WaveAndDistance;	// wind speed, wave size, wind amount, max sqr distance
	float4 _CameraPosition;		// .xyz = camera position, .w = 1 / (max sqr distance)
	float3 _CameraRight, _CameraUp;
	
	// trees
	float4 _Scale;
	float4x4 _TerrainEngineBendTree;
	float4 _SquashPlaneNormal;
	float _SquashAmount;
	
	// billboards
	float3 _TreeBillboardCameraRight;
	float4 _TreeBillboardCameraUp;
	float4 _TreeBillboardCameraFront;
	float4 _TreeBillboardCameraPos;
	float4 _TreeBillboardDistances; // x = max distance ^ 2
CBUFFER_END


// ---- Vertex input structures

struct appdata_tree {
    float4 vertex : POSITION;		// position
    float4 tangent : TANGENT;		// directional AO
    float3 normal : NORMAL;			// normal
    fixed4 color : COLOR;			// .w = bend factor
    float4 texcoord : TEXCOORD0;	// UV
};

struct appdata_tree_billboard {
	float4 vertex : POSITION;
	fixed4 color : COLOR;			// Color
	float4 texcoord : TEXCOORD0;	// UV Coordinates 
	float2 texcoord1 : TEXCOORD1;	// Billboard extrusion
};

// ---- Grass helpers

// Calculate a 4 fast sine-cosine pairs
// val: 	the 4 input values - each must be in the range (0 to 1)
// s:		The sine of each of the 4 values
// c:		The cosine of each of the 4 values
void FastSinCos (float4 val, out float4 s, out float4 c) {
	val = val * 6.408849 - 3.1415927;
	// powers for taylor series
	float4 r5 = val * val;					// wavevec ^ 2
	float4 r6 = r5 * r5;						// wavevec ^ 4;
	float4 r7 = r6 * r5;						// wavevec ^ 6;
	float4 r8 = r6 * r5;						// wavevec ^ 8;

	float4 r1 = r5 * val;					// wavevec ^ 3
	float4 r2 = r1 * r5;						// wavevec ^ 5;
	float4 r3 = r2 * r5;						// wavevec ^ 7;


	//Vectors for taylor's series expansion of sin and cos
	float4 sin7 = {1, -0.16161616, 0.0083333, -0.00019841};
	float4 cos8  = {-0.5, 0.041666666, -0.0013888889, 0.000024801587};

	// sin
	s =  val + r1 * sin7.y + r2 * sin7.z + r3 * sin7.w;

	// cos
	c = 1 + r5 * cos8.x + r6 * cos8.y + r7 * cos8.z + r8 * cos8.w;
}

fixed4 TerrainWaveGrass (inout float4 vertex, float waveAmount, fixed4 color)
{
	float4 _waveXSize = float4(0.012, 0.02, 0.06, 0.024) * _WaveAndDistance.y;
	float4 _waveZSize = float4 (0.006, .02, 0.02, 0.05) * _WaveAndDistance.y;
	float4 waveSpeed = float4 (0.3, .5, .4, 1.2) * 4;

	float4 _waveXmove = float4(0.012, 0.02, -0.06, 0.048) * 2;
	float4 _waveZmove = float4 (0.006, .02, -0.02, 0.1);

	float4 waves;
	waves = vertex.x * _waveXSize;
	waves += vertex.z * _waveZSize;

	// Add in time to model them over time
	waves += _WaveAndDistance.x * waveSpeed;

	float4 s, c;
	waves = frac (waves);
	FastSinCos (waves, s,c);

	s = s * s;
	
	s = s * s;

	float lighting = dot (s, normalize (float4 (1,1,.4,.2))) * .7;

	s = s * waveAmount;

	float3 waveMove = float3 (0,0,0);
	waveMove.x = dot (s, _waveXmove);
	waveMove.z = dot (s, _waveZmove);

	vertex.xz -= waveMove.xz * _WaveAndDistance.z;
	
	// apply color animation
	
	// fix for dx11/etc warning
	fixed3 waveColor = lerp (fixed3(0.5,0.5,0.5), _WavingTint.rgb, fixed3(lighting,lighting,lighting));
	
	// Fade the grass out before detail distance.
	// Saturate because Radeon HD drivers on OS X 10.4.10 don't saturate vertex colors properly.
	float3 offset = vertex.xyz - _CameraPosition.xyz;
	color.a = saturate (2 * (_WaveAndDistance.w - dot (offset, offset)) * _CameraPosition.w);
	
	return fixed4(2 * waveColor * color.rgb, color.a);
}

void TerrainBillboardGrass( inout float4 pos, float2 offset )
{
	float3 grasspos = pos.xyz - _CameraPosition.xyz;
	if (dot(grasspos, grasspos) > _WaveAndDistance.w)
		offset = 0.0;
    pos.xyz += offset.x * _CameraRight.xyz;
	pos.xyz += offset.y * _CameraUp.xyz;
}

// Grass: appdata_full usage
// color		- .xyz = color, .w = wave scale
// normal		- normal
// tangent.xy	- billboard extrusion
// texcoord		- UV coords
// texcoord1	- 2nd UV coords

void WavingGrassVert (inout appdata_full v)
{
	// MeshGrass v.color.a: 1 on top vertices, 0 on bottom vertices
	// _WaveAndDistance.z == 0 for MeshLit
	float waveAmount = v.color.a * _WaveAndDistance.z;

	v.color = TerrainWaveGrass (v.vertex, waveAmount, v.color);
}

void WavingGrassBillboardVert (inout appdata_full v)
{
	TerrainBillboardGrass (v.vertex, v.tangent.xy);
	// wave amount defined by the grass height
	float waveAmount = v.tangent.y;
	v.color = TerrainWaveGrass (v.vertex, waveAmount, v.color);
}


// ---- Tree helpers


inline float4 Squash(in float4 pos)
{
	// To squash the tree the vertex needs to be moved in the direction
	// of the squash plane. The plane is defined by the the:
	// plane point - point lying on the plane, defined in model space
	// plane normal - _SquashPlaneNormal.xyz
	
	// we're pushing squashed tree plane in direction of planeNormal by amount of _SquashPlaneNormal.w
	// this squashing has to match logic of tree billboards
	
	float3 planeNormal = _SquashPlaneNormal.xyz;
	
	// unoptimized version:
	//float3 planePoint = -planeNormal * _SquashPlaneNormal.w;
	//float3 projectedVertex = pos.xyz + dot(planeNormal, (planePoint - pos)) * planeNormal;
		
	// optimized version:	
	float3 projectedVertex = pos.xyz - (dot(planeNormal.xyz, pos.xyz) + _SquashPlaneNormal.w) * planeNormal;
	
	pos = float4(lerp(projectedVertex, pos.xyz, _SquashAmount), 1);
	
	return pos;
}

void TerrainAnimateTree( inout float4 pos, float alpha )
{
	pos.xyz *= _Scale.xyz;
	float3 bent = mul(_TerrainEngineBendTree, float4(pos.xyz, 0.0)).xyz;
	pos.xyz = lerp( pos.xyz, bent, alpha );
	
	pos = Squash(pos);
}


// ---- Billboarded tree helpers


void TerrainBillboardTree( inout float4 pos, float2 offset, float offsetz )
{
	float3 treePos = pos.xyz - _TreeBillboardCameraPos.xyz;
	float treeDistanceSqr = dot(treePos, treePos);
	if( treeDistanceSqr > _TreeBillboardDistances.x )
		offset.xy = offsetz = 0.0;
		
	// positioning of billboard vertices horizontally
	pos.xyz += _TreeBillboardCameraRight.xyz * offset.x;
	
	// tree billboards can have non-uniform scale,
	// so when looking from above (or bellow) we must use
	// billboard width as billboard height
	
	// 1) non-compensating
	//pos.xyz += _TreeBillboardCameraUp.xyz * offset.y;
	
	// 2) correct compensating (?) 
	//float alpha = _TreeBillboardCameraPos.w;
	//float a = offset.y;
	//float b = offsetz;
		// 2a) using elipse-radius formula
		////float r = abs(a * b) / sqrt(sqr(a * sin(alpha)) + sqr(b * cos(alpha))) * sign(b);
		//float r = abs(a) * b / sqrt(sqr(a * sin(alpha)) + sqr(b * cos(alpha)));
		// 2b) sin-cos lerp
		//float r = b * sin(alpha) + a * cos(alpha);	
	//pos.xyz += _TreeBillboardCameraUp.xyz * r;
	
	// 3) incorrect compensating (using lerp)
	// _TreeBillboardCameraPos.w contains ImposterRenderTexture::GetBillboardAngleFactor()
	//float billboardAngleFactor = _TreeBillboardCameraPos.w;
	//float r = lerp(offset.y, offsetz, billboardAngleFactor);	
	//pos.xyz += _TreeBillboardCameraUp.xyz * r;
	
	// so now we take solution #3 and complicate it even further...
	// 
	// case 49851: Flying trees
	// The problem was that tree billboard was fixed on it's center, which means
	// the root of the tree is not fixed and can float around. This can be quite visible
	// on slopes (checkout the case on fogbugz for screenshots).
	//
	// We're fixing this by fixing billboards to the root of the tree. 
	// Note that root of the tree is not necessary the bottom of the tree - 
	// there might be significant part of the tree bellow terrain.
	// This fixation mode doesn't work when looking from above/below, because
	// billboard is so close to the ground, so we offset it by certain distance
	// when viewing angle is bigger than certain treshold (40 deg at the moment)
	
	// _TreeBillboardCameraPos.w contains ImposterRenderTexture::billboardAngleFactor
	float billboardAngleFactor = _TreeBillboardCameraPos.w;
	// The following line performs two things:
	// 1) peform non-uniform scale, see "3) incorrect compensating (using lerp)" above
	// 2) blend between vertical and horizontal billboard mode
	float radius = lerp(offset.y, offsetz, billboardAngleFactor);
			
	// positioning of billboard vertices veritally
	pos.xyz += _TreeBillboardCameraUp.xyz * radius;
			
	// _TreeBillboardCameraUp.w contains ImposterRenderTexture::billboardOffsetFactor
	float billboardOffsetFactor = _TreeBillboardCameraUp.w;
	// Offsetting billboad from the ground, so it doesn't get clipped by ztest.
	// In theory we should use billboardCenterOffsetY instead of offset.x,
	// but we can't because offset.y is not the same for all 4 vertices, so 
	// we use offset.x which is the same for all 4 vertices (except sign). 
	// And it doesn't matter a lot how much we offset, we just need to offset 
	// it by some distance
	pos.xyz += _TreeBillboardCameraFront.xyz * abs(offset.x) * billboardOffsetFactor;
}


// ---- Tree Creator

float4 _Wind;

// Expand billboard and modify normal + tangent to fit
inline void ExpandBillboard (in float4x4 mat, inout float4 pos, inout float3 normal, inout float4 tangent)
{
	// tangent.w = 0 if this is a billboard
	float isBillboard = 1.0f - abs(tangent.w);
	
	// billboard normal
	float3 norb = normalize(mul(float4(normal, 0), mat));
	
	// billboard tangent
	float3 tanb = normalize(mul(float4(tangent.xyz, 0.0f), mat));
	
	pos += mul(float4(normal.xy, 0, 0), mat) * isBillboard;
	normal = lerp(normal, norb, isBillboard);
	tangent = lerp(tangent, float4(tanb, -1.0f), isBillboard);
}

float4 SmoothCurve( float4 x ) {   
	return x * x *( 3.0 - 2.0 * x );   
}
float4 TriangleWave( float4 x ) {   
	return abs( frac( x + 0.5 ) * 2.0 - 1.0 );   
}
float4 SmoothTriangleWave( float4 x ) {   
	return SmoothCurve( TriangleWave( x ) );   
}

// Detail bending
inline float4 AnimateVertex(float4 pos, float3 normal, float4 animParams)
{	
	// animParams stored in color
	// animParams.x = branch phase
	// animParams.y = edge flutter factor
	// animParams.z = primary factor
	// animParams.w = secondary factor

	float fDetailAmp = 0.1f;
	float fBranchAmp = 0.3f;
	
	// Phases (object, vertex, branch)
	float fObjPhase = dot(_Object2World[3].xyz, 1);
	float fBranchPhase = fObjPhase + animParams.x;
	
	float fVtxPhase = dot(pos.xyz, animParams.y + fBranchPhase);
	
	// x is used for edges; y is used for branches
	float2 vWavesIn = _Time.yy + float2(fVtxPhase, fBranchPhase );
	
	// 1.975, 0.793, 0.375, 0.193 are good frequencies
	float4 vWaves = (frac( vWavesIn.xxyy * float4(1.975, 0.793, 0.375, 0.193) ) * 2.0 - 1.0);
	
	vWaves = SmoothTriangleWave( vWaves );
	float2 vWavesSum = vWaves.xz + vWaves.yw;

	// Edge (xz) and branch bending (y)
	float3 bend = animParams.y * fDetailAmp * normal.xyz;
	bend.y = animParams.w * fBranchAmp;
	pos.xyz += ((vWavesSum.xyx * bend) + (_Wind.xyz * vWavesSum.y * animParams.w)) * _Wind.w; 

	// Primary bending
	// Displace position
	pos.xyz += animParams.z * _Wind.xyz;
	
	return pos;
}

void TreeVertBark (inout appdata_full v)
{
	v.vertex.xyz *= _Scale.xyz;
	v.vertex = AnimateVertex(v.vertex, v.normal, float4(v.color.xy, v.texcoord1.xy));
	
	v.vertex = Squash(v.vertex);
	
	v.color = float4 (1, 1, 1, v.color.a);
	v.normal = normalize(v.normal);
	v.tangent.xyz = normalize(v.tangent.xyz); 
}

void TreeVertLeaf (inout appdata_full v)
{
	ExpandBillboard (UNITY_MATRIX_IT_MV, v.vertex, v.normal, v.tangent);
	v.vertex.xyz *= _Scale.xyz;
	v.vertex = AnimateVertex (v.vertex,v.normal, float4(v.color.xy, v.texcoord1.xy));
	
	v.vertex = Squash(v.vertex);
	
	v.color = float4 (1, 1, 1, v.color.a);
	v.normal = normalize(v.normal);
	v.tangent.xyz = normalize(v.tangent.xyz);
}


// ---- Obsolete

// Use appdata_full instead
struct appdata_grass {
	float4 vertex : POSITION;
	float4 tangent : TANGENT;
	float3 normal : NORMAL;			// normal
	fixed4 color : COLOR;			// XSize, ySize, wavyness, unused
	float4 texcoord : TEXCOORD0;	// UV Coordinates 
	float4 texcoord1 : TEXCOORD1;	// Billboard extrusion
};

#endif