Compute Normals After Vertex Deformation? - glsl

Question

I am coding a vertex and a fragment shader trying to distort the surface of some water and then computing blinn-phong lighting on the surface. I am able to successfully compute the deformed matrices with a simple noise function, but how can I find the distorted normals? Since it isn't a linear transformation I am stuck, could anyone help?
Here are the relevant files:
vertex shader:
#version 150
uniform mat4 u_Model;
uniform mat4 u_ModelInvTr;
uniform mat4 u_ViewProj;
uniform vec4 u_Color;
uniform int u_Time;
in vec4 vs_Pos; // The array of vertex positions passed to the shader
in vec4 vs_Nor; // The array of vertex normals passed to the shader
in vec4 vs_Col; // The array of vertex colors passed to the shader.
in vec2 vs_UV; // UV coords for texture to pass thru to fragment shader
in float vs_Anim; // 0.f or 1.f To pass thru to fragment shader
in float vs_T2O;
out vec4 fs_Pos;
out vec4 fs_Nor;
out vec4 fs_LightVec;
out vec4 fs_Col;
out vec2 fs_UVs;
out float fs_Anim;
out float fs_dimVal;
out float fs_T2O;
uniform vec4 u_CamPos;
out vec4 fs_CamPos;
const vec4 lightDir = normalize(vec4(0.0, 1.f, 0.0, 0));
mat4 rotationMatrix(vec3 axis, float angle) {
axis = normalize(axis);
float s = sin(angle);
float c = cos(angle);
float oc = 1.0 - c;
return mat4(oc * axis.x * axis.x + c, oc * axis.x * axis.y - axis.z * s, oc * axis.z * axis.x + axis.y * s, 0.0, oc * axis.x * axis.y + axis.z * s, oc * axis.y * axis.y + c, oc * axis.y * axis.z - axis.x * s, 0.0,oc * axis.z * axis.x - axis.y * s, oc * axis.y * axis.z + axis.x * s, oc * axis.z * axis.z + c, 0.0, 0.0, 0.0, 0.0, 1.0);
}
vec4 rotateLightVec(float deg, vec4 LV) {
mat4 R = rotationMatrix(vec3(0,0,1), deg);
return R * LV;
}
float random1(vec3 p) {
return fract(sin(dot(p, vec3(127.1, 311.7, 191.999)))*43758.5453);
}
vec3 random2( vec3 p ) {
return fract( sin( vec3(dot(p, vec3(127.1, 311.7, 58.24)), dot(p, vec3(269.5, 183.3, 657.3)), dot(p, vec3(420.69, 69.420, 469.20))) ) * 43758.5453);
}
void main()
{
fs_Col = vs_Col;
fs_UVs = vs_UV;
fs_Anim = vs_Anim;
fs_T2O = vs_T2O;
mat3 invTranspose = mat3(u_ModelInvTr);
fs_Nor = vec4(invTranspose * vec3(vs_Nor), 0);
vec4 modelposition = u_Model * vs_Pos;
if (vs_Anim != 0) { // if we want to animate this surface
// check region in texture to decide which animatable type is drawn
bool lava = fs_UVs.x >= 13.f/16.f && fs_UVs.y < 2.f/16.f;
bool water = !lava && fs_UVs.x >= 13.f/16.f && fs_UVs.y <= 4.f/16.f;
if (water) {
// define an oscillating time so that model can transition back and forth
float t = (cos(u_Time * 0.05) + 1)/2; // u_Time increments by 1 every frame. Domain [0,1]
vec3 temp = random2(vec3(modelposition.x, modelposition.y, modelposition.z)); // range [0, 1]
temp = (temp - 0.5)/25; // [0, 1/scalar]
modelposition.x = mix(modelposition.x - temp.x, modelposition.x + temp.x, t);
modelposition.y = mix(modelposition.y - temp.y, modelposition.y + 3*temp.y, t);
modelposition.z = mix(modelposition.z - temp.z, modelposition.z + temp.z, t);
} else if (lava) {
// define an oscillating time so that model can transition back and forth
float t = (cos(u_Time * 0.01) + 1)/2; // u_Time increments by 1 every frame. Domain [0,1]
vec3 temp = random2(vec3(modelposition.x, modelposition.y, modelposition.z)); // range [0, 1]
temp = (temp - 0.5)/25; // [0, 1/scalar]
modelposition.x = mix(modelposition.x - temp.x, modelposition.x + temp.x, t);
modelposition.y = mix(modelposition.y - temp.y, modelposition.y + 3*temp.y, t);
modelposition.z = mix(modelposition.z - temp.z, modelposition.z + temp.z, t);
}
}
fs_dimVal = random1(modelposition.xyz/100.f);
fs_LightVec = rotateLightVec(0.001 * u_Time, lightDir); // Compute the direction in which the light source lies
fs_CamPos = u_CamPos; // uniform handle for the camera position instead of the inverse
fs_Pos = modelposition;
gl_Position = u_ViewProj * modelposition;// gl_Position is a built-in variable of OpenGL which is
// used to render the final positions of the geometry's vertices
}
fragment shader:
#version 330
uniform vec4 u_Color; // The color with which to render this instance of geometry.
uniform sampler2D textureSampler;
uniform int u_Time;
uniform mat4 u_ViewProj;
uniform mat4 u_Model;
in vec4 fs_Pos;
in vec4 fs_Nor;
in vec4 fs_LightVec;
in vec4 fs_Col;
in vec2 fs_UVs;
in float fs_Anim;
in float fs_T2O;
in float fs_dimVal;
out vec4 out_Col;
in vec4 fs_CamPos;
float random1(vec3 p) {
return fract(sin(dot(p,vec3(127.1, 311.7, 191.999)))
*43758.5453);
}
float random1b(vec3 p) {
return fract(sin(dot(p,vec3(169.1, 355.7, 195.999)))
*95751.5453);
}
float mySmoothStep(float a, float b, float t) {
t = smoothstep(0, 1, t);
return mix(a, b, t);
}
float cubicTriMix(vec3 p) {
vec3 pFract = fract(p);
float llb = random1(floor(p) + vec3(0,0,0));
float lrb = random1(floor(p) + vec3(1,0,0));
float ulb = random1(floor(p) + vec3(0,1,0));
float urb = random1(floor(p) + vec3(1,1,0));
float llf = random1(floor(p) + vec3(0,0,1));
float lrf = random1(floor(p) + vec3(1,0,1));
float ulf = random1(floor(p) + vec3(0,1,1));
float urf = random1(floor(p) + vec3(1,1,1));
float mixLoBack = mySmoothStep(llb, lrb, pFract.x);
float mixHiBack = mySmoothStep(ulb, urb, pFract.x);
float mixLoFront = mySmoothStep(llf, lrf, pFract.x);
float mixHiFront = mySmoothStep(ulf, urf, pFract.x);
float mixLo = mySmoothStep(mixLoBack, mixLoFront, pFract.z);
float mixHi = mySmoothStep(mixHiBack, mixHiFront, pFract.z);
return mySmoothStep(mixLo, mixHi, pFract.y);
}
float fbm(vec3 p) {
float amp = 0.5;
float freq = 4.0;
float sum = 0.0;
for(int i = 0; i < 8; i++) {
sum += cubicTriMix(p * freq) * amp;
amp *= 0.5;
freq *= 2.0;
}
return sum;
}
void main()
{
vec4 diffuseColor = texture(textureSampler, fs_UVs);
bool apply_lambert = true;
float specularIntensity = 0;
if (fs_Anim != 0) {
// check region in texture to decide which animatable type is drawn
bool lava = fs_UVs.x >= 13.f/16.f && fs_UVs.y < 2.f/16.f;
bool water = !lava && fs_UVs.x >= 13.f/16.f && fs_UVs.y < 4.f/16.f;
if (lava) {
// slowly gyrate texture and lighten and darken with random dimVal from vert shader
vec2 movingUVs = vec2(fs_UVs.x + fs_Anim * 0.065/16 * sin(0.01*u_Time),
fs_UVs.y - fs_Anim * 0.065/16 * sin(0.01*u_Time + 3.14159/2));
diffuseColor = texture(textureSampler, movingUVs);
vec4 warmerColor = diffuseColor + vec4(0.3, 0.3, 0, 0);
vec4 coolerColor = diffuseColor - vec4(0.1, 0.1, 0, 0);
diffuseColor = mix(warmerColor, coolerColor, 0.5 + fs_dimVal * 0.65*sin(0.02*u_Time));
apply_lambert = false;
} else if (water) {
// blend between 3 different points in texture to create a wavy subtle change over time
vec2 offsetUVs = vec2(fs_UVs.x - 0.5f/16.f, fs_UVs.y - 0.5f/16.f);
diffuseColor = texture(textureSampler, fs_UVs);
vec4 altColor = texture(textureSampler, offsetUVs);
altColor.x += fs_dimVal * pow(altColor.x+.15, 5);
altColor.y += fs_dimVal * pow(altColor.y+.15, 5);
altColor.z += 0.5 * fs_dimVal * pow(altColor.z+.15, 5);
diffuseColor = mix(diffuseColor, altColor, 0.5 + 0.35*sin(0.05*u_Time));
offsetUVs -= 0.25f/16.f;
vec4 newColor = texture(textureSampler, offsetUVs);
diffuseColor = mix(diffuseColor, newColor, 0.5 + 0.5*sin(0.025*u_Time)) + fs_dimVal * vec4(0.025);
diffuseColor.a = 0.7;
// ----------------------------------------------------
// Blinn-Phong Shading
// ----------------------------------------------------
vec4 lightDir = normalize(fs_LightVec - fs_Pos);
vec4 viewDir = normalize(fs_CamPos - fs_Pos);
vec4 halfVec = normalize(lightDir + viewDir);
float shininess = 400.f;
float specularIntensity = max(pow(dot(halfVec, normalize(fs_Nor)), shininess), 0);
}
}
// Calculate the diffuse term for Lambert shading
float diffuseTerm = dot(normalize(fs_Nor), normalize(fs_LightVec));
// Avoid negative lighting values
diffuseTerm = clamp(diffuseTerm, 0, 1);
float ambientTerm = 0.3;
float lightIntensity = diffuseTerm + ambientTerm; //Add a small float value to the color multiplier
//to simulate ambient lighting. This ensures that faces that are not
//lit by our point light are not completely black.
vec3 col = diffuseColor.rgb;
// Compute final shaded color
if (apply_lambert) {
col = col * lightIntensity + col * specularIntensity;
}
// & Check the rare, special case where we draw face between two diff transparent blocks as opaque
if (fs_T2O != 0) {
out_Col = vec4(col, 1.f);
} else {
out_Col = vec4(col, diffuseColor.a);
}
// distance fog!
vec4 fogColor = vec4(0.6, 0.75, 0.9, 1.0);
float FC = gl_FragCoord.z / gl_FragCoord.w / 124.f;
float falloff = clamp(1.05 - exp(-1.05f * (FC - 0.9f)), 0.f, 1.f);
out_Col = mix(out_Col, fogColor, falloff);
}
I tried implementing blinn-phong in the fragment shader, but I think it is wrong simple from the wrong normals. I think this can be done with some sort of tangent and cross product solution, but how can I know the tangent of the surface given we only know the vertex position?
I am not using unity, just bare c++ and most of the answers I am finding online are for java or unity which I do not understand.`