Getting started with glsl – Put a texture on the model and use a texture matrix in OGL 4.0 GLSL

A simple OGL 4.0 GLSL shader program that shows how to map a 2D texture on a mesh.
The program is executed with a phyton script. To run the script, PyOpenGL and NumPy must be installed.

The texture matrix defines how the texture is mapped on the mesh.
By manipulating the texture matrix, the texture can be displaced, scaled and rotated.

Vertex shader

tex.vert

#version 400

layout (location = 0) in vec3 inPos;
layout (location = 1) in vec2 inTex;

out vec2 vertTex;

uniform mat4 u_projectionMat44;
uniform mat4 u_viewMat44;
uniform mat4 u_modelMat44;
uniform mat4 u_textureMat44;

void main()
{
    vertTex = ( u_textureMat44 * vec4( inTex, 0.0, 1.0 ) ).st;
    vec4 modolPos = u_modelMat44 * vec4( inPos, 1.0 );
    vec4 viewPos = u_viewMat44 * modolPos;
    gl_Position = u_projectionMat44 * viewPos;
}

Fragment shader

tex.frag

#version 400

in vec2 vertTex;

out vec4 fragColor;

uniform sampler2D u_texture;

void main()
{
    vec4 texCol = texture( u_texture, vertTex.st );
    fragColor = vec4( texCol.rgb, 1.0 );
}

Phyton script

from OpenGL.GL import *
from OpenGL.GLUT import *
from OpenGL.GLU import *
import numpy as np
from time import time
import math
import sys

# draw event
def OnDraw():
    currentTime = time()
    # set up projection matrix
    prjMat = perspective( 90.0, wndW/wndH, 0.5, 100.0) 
    # set up view matrix
    viewMat = Translate( np.matrix(np.identity(4), copy=False, dtype='float32'), np.array( [0.0, 0.0, -15.0] ) )
    viewMat = RotateView( viewMat, [30.0, CalcAng( currentTime, 60.0 ), 0.0] )
    
    # set up tetrahedron model matrix
    cubeModelMat = np.matrix(np.identity(4), copy=False, dtype='float32')
    cubeModelMat = RotateX( cubeModelMat, -90.0 )
    cubeModelMat = Scale( cubeModelMat, np.repeat( 5.0, 3 ) )
    
    # set up texture matrix
    texMat = np.matrix(np.identity(4), copy=False, dtype='float32')
    deltaT = Fract( (currentTime - startTime) / 28.0 ) * 28.0
    if deltaT < 7.0 or deltaT >= 21.0:
        texMat = Scale( texMat, np.repeat( CalcMove(currentTime, 7.0, [1.0, 2.0]), 3 ) )
    if deltaT >= 7.0 and deltaT < 14.0 or deltaT >= 21.0:
        transAng = math.radians( CalcAng(currentTime, 7.0) )
        texMat = Translate( texMat, np.array( [math.sin(transAng)*0.5, math.cos(transAng)*0.5-0.5, 0.0] ) )
    if deltaT >= 14.0:
        texMat = RotateZ( texMat, CalcAng(currentTime, 7.0) )
    
    # set up attributes and shader program
    glEnable( GL_DEPTH_TEST )
    glClear( GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT )
    glUseProgram( shaderProgram )
    glUniformMatrix4fv( projectionMatLocation, 1, GL_FALSE, prjMat )
    glUniformMatrix4fv( viewMatLocation, 1, GL_FALSE, viewMat )
    glUniformMatrix4fv( textureMatLocation, 1, GL_FALSE, texMat )
    glUniform1i( textureLocation, 0 )
    
    # draw cube
    glUniformMatrix4fv( modelMatLocation, 1, GL_FALSE, cubeModelMat )
    glBindVertexArray( cubeVAObj )
    glDrawElements(GL_TRIANGLES, len(cubeIndices), GL_UNSIGNED_INT, cubeIndices)
    
    glutSwapBuffers()

def Fract(val): return val - math.trunc(val)
def CalcAng(currentTime, intervall): return Fract( (currentTime - startTime) / intervall ) * 360.0
def CalcMove(currentTime, intervall, range):
    pos = Fract( (currentTime - startTime) / intervall ) * 2.0
    pos = pos if pos < 1.0 else (2.0-pos)
    return range[0] + (range[1] - range[0]) * pos
    
# read shader program and compile shader
def CompileShader( sourceFileName, shaderStage ):
    with open( sourceFileName, 'r' ) as sourceFile:
        sourceCode = sourceFile.read()
    nameMap = { GL_VERTEX_SHADER: 'vertex', GL_FRAGMENT_SHADER: 'fragment' }    
    print( '\n%s shader code:' % nameMap.get(shaderStage, '') )
    print( sourceCode )
    shaderObj = glCreateShader( shaderStage )
    glShaderSource( shaderObj, sourceCode )
    glCompileShader( shaderObj )
    result = glGetShaderiv( shaderObj, GL_COMPILE_STATUS )
    if not (result):
        print( glGetShaderInfoLog( shaderObj ) )
        sys.exit()
    return shaderObj

# linke shader objects to shader program
def LinkProgram( shaderObjs ):
    shaderProgram = glCreateProgram()
    for shObj in shaderObjs:
        glAttachShader( shaderProgram, shObj )
    glLinkProgram( shaderProgram )
    result = glGetProgramiv( shaderProgram, GL_LINK_STATUS )
    if not (result):
        print( 'link error:' )
        print( glGetProgramInfoLog( shaderProgram ) )
        sys.exit()
    return shaderProgram

# create vertex array object
def CreateVAO( dataArrays ):
    noOfBuffers = len(dataArrays)
    buffers = glGenBuffers(noOfBuffers)
    newVAObj = glGenVertexArrays( 1 )
    glBindVertexArray( newVAObj )
    for inx in range(0, noOfBuffers):
        vertexSize, dataArr = dataArrays[inx]
        arr = np.array( dataArr, dtype='float32' )
        glBindBuffer( GL_ARRAY_BUFFER, buffers[inx] )
        glBufferData( GL_ARRAY_BUFFER, arr, GL_STATIC_DRAW )
        glEnableVertexAttribArray( inx )
        glVertexAttribPointer( inx, vertexSize, GL_FLOAT, GL_FALSE, 0, None )
    return newVAObj 

def Translate(matA, trans):
    matB = np.copy(matA)
    for i in range(0, 4): matB[3,i] = matA[0,i] * trans[0] + matA[1,i] * trans[1] + matA[2,i] * trans[2] + matA[3,i] 
    return matB

def Scale(matA, s):
    matB = np.copy(matA)
    for i0 in range(0, 3):
        for i1 in range(0, 4): matB[i0,i1] = matA[i0,i1] * s[i0] 
    return matB

def RotateHlp(matA, angDeg, a0, a1):
    matB = np.copy(matA)
    ang = math.radians(angDeg)
    sinAng, cosAng = math.sin(ang), math.cos(ang)
    for i in range(0, 4):
        matB[a0,i] = matA[a0,i] * cosAng + matA[a1,i] * sinAng
        matB[a1,i] = matA[a0,i] * -sinAng + matA[a1,i] * cosAng
    return matB

def RotateX(matA, angDeg): return RotateHlp(matA, angDeg, 1, 2)
def RotateY(matA, angDeg): return RotateHlp(matA, angDeg, 2, 0)
def RotateZ(matA, angDeg): return RotateHlp(matA, angDeg, 0, 1)
def RotateView(matA, angDeg): return RotateZ(RotateY(RotateX(matA, angDeg[0]), angDeg[1]), angDeg[2])

def perspective(fov, aspectRatio, near, far):
    fn, f_n = far + near, far - near
    r, t = aspectRatio, 1.0 / math.tan( math.radians(fov) / 2.0 )
    return np.matrix( [ [t/r,0,0,0], [0,t,0,0], [0,0,-fn/f_n,-2.0*far*near/f_n], [0,0,-1,0] ] )

# initialize glut
glutInit()

# create window
wndW, wndH = 800, 600
glutInitDisplayMode(GLUT_RGBA | GLUT_DOUBLE | GLUT_ALPHA | GLUT_DEPTH)
glutInitWindowPosition(0, 0)
glutInitWindowSize(wndW, wndH)
wndID = glutCreateWindow(b'OGL window') 
glutDisplayFunc(OnDraw) 
glutIdleFunc(OnDraw)

# define cube vertex array opject
icoPts = [
    [-1.0, -1.0,  1.0], [ 1.0, -1.0,  1.0], [ 1.0,  1.0,  1.0], [-1.0,  1.0,  1.0],
    [-1.0, -1.0, -1.0], [ 1.0, -1.0, -1.0], [ 1.0,  1.0, -1.0], [-1.0,  1.0, -1.0] ]
cubePosData = []
for inx in [ 0, 1, 2, 3, 1, 5, 6, 2, 5, 4, 7, 6, 4, 0, 3, 7, 3, 2, 6, 7, 1, 0, 4, 5 ]:
    for inx_s in range(0, 3): cubePosData.append( icoPts[inx][inx_s] )
cubeTexData = []
for inx in range(0, 6):
    for texCoord in [-0.5, -0.5, 0.5, -0.5, 0.5, 0.5, -0.5, 0.5]: cubeTexData.append( texCoord )
icoCol = [ [1.0, 0.0, 0.0], [1.0, 0.5, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 1.0] ]
cubeIndices = []
for inx in range(0, 6):
    for inx_s in [0, 1, 2, 0, 2, 3]: cubeIndices.append( inx * 4 + inx_s )
cubeVAObj = CreateVAO( [ (3, cubePosData), (2, cubeTexData) ] )
cubeInxArr = np.array( cubeIndices, dtype='uint' )

# load, compile and link shader
shaderProgram = LinkProgram( [
        CompileShader( 'python/ogl4tex/tex.vert', GL_VERTEX_SHADER ), 
        CompileShader( 'python/ogl4tex/tex.frag', GL_FRAGMENT_SHADER )
    ] )
projectionMatLocation = glGetUniformLocation(shaderProgram, "u_projectionMat44")
viewMatLocation = glGetUniformLocation(shaderProgram, "u_viewMat44")
modelMatLocation = glGetUniformLocation(shaderProgram, "u_modelMat44")
textureMatLocation = glGetUniformLocation(shaderProgram, "u_textureMat44")
textureLocation = glGetUniformLocation(shaderProgram, "u_texture")

# create texture
texCX, texCY = 128, 128
texPlan = np.zeros( texCX * texCY * 4, dtype=np.uint8 )
for inx_x in range(0, texCX):
    for inx_y in range(0, texCY):
        val_x = math.sin( math.pi * 6.0 * inx_x / texCX )
        val_y = math.sin( math.pi * 6.0 * inx_y / texCY )
        inx_tex = inx_y * texCX * 4 + inx_x * 4
        texPlan[inx_tex + 0] = int( 128 + 127 * val_x )
        texPlan[inx_tex + 1] = 63
        texPlan[inx_tex + 2] = int( 128 + 127 * val_y )
        texPlan[inx_tex + 3] = 255
glActiveTexture( GL_TEXTURE0 )
texObj = glGenTextures( 1  )
glBindTexture( GL_TEXTURE_2D, texObj )
glTexImage2D(GL_TEXTURE_2D, 0, GL_RGBA, texCX, texCY, 0, GL_RGBA, GL_UNSIGNED_BYTE, texPlan)
glTexParameterf(GL_TEXTURE_2D, GL_TEXTURE_MAG_FILTER, GL_LINEAR)
glTexParameterf(GL_TEXTURE_2D, GL_TEXTURE_MIN_FILTER, GL_LINEAR)
glTexParameterf(GL_TEXTURE_2D, GL_TEXTURE_WRAP_S, GL_REPEAT)
glTexParameterf(GL_TEXTURE_2D, GL_TEXTURE_WRAP_T, GL_REPEAT) 

# start main loop
startTime = time()
glutMainLoop()

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Getting started with glsl – Put a texture on the model and use a texture matrix in OGL 4.0 GLSL - CodeDay