# OpenGL [Answered] Quick Matrix question

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Hi,

It is said that OpenGL uses column-major 4x4 matrices ([url="http://www.songho.ca/opengl/gl_matrix.html"]http://www.songho.ca.../gl_matrix.html[/url]). Does this mean that the translations are at the right or at the bottom like in Xna?
[img]http://www.songho.ca/opengl/files/gl_matrix02.png[/img]Opengl: Column-major matrix

[img]http://www.songho.ca/opengl/files/gl_matrix01.png[/img]Row-major matrix

Thanks

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translations are at m12,13,14 i just checked
you can pass them with glUniform* with false in the transpose parameter

btw. if you want to make your own little matrix lib, i heartily recommend it
lots of little mini-functions in the class that can do alot less flops than constantly multiplying entire matrices together
eg. translateXZ, translateXYZ, and so on.

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You can put the translation along the last row or column, depending on your conventions. Note the distinction between row/column majorness and row/column vectors. Dx and GL's matrix uploading functions expect the matrices to be stored in a given majorness so as long as you comply, you can use any combination of row/column vectors stored in row/column major (although both APIs will transpose your matrices for you if you specify it, at least GL does to my knowledge).

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[quote name='GeneralQuery' timestamp='1348998285' post='4985304']
You can put the translation along the last row or column, depending on your conventions. Note the distinction between row/column majorness and row/column vectors. Dx and GL's matrix uploading functions expect the matrices to be stored in a given majorness so as long as you comply, you can use any combination of row/column vectors stored in row/column major (although both APIs will transpose your matrices for you if you specify it, at least GL does to my knowledge).
[/quote]

yes, that's the transpose parameter in the glUniformMatrix* functions
default is the one i specified in the other post, and is likely a faster upload to gpu since it would be a bit block transfer

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[quote name='Kaptein' timestamp='1348983150' post='4985270']
translations are at m12,13,14 [img]http://public.gamedev.net//public/style_emoticons/default/smile.png[/img] i just checked
you can pass them with glUniform* with false in the transpose parameter

btw. if you want to make your own little matrix lib, i heartily recommend it
lots of little mini-functions in the class that can do alot less flops than constantly multiplying entire matrices together
eg. translateXZ, translateXYZ, and so on.
[/quote]

By the way, when I do RotateXY, m33 is set twice. How do I solve this? Should I multiply both?

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[s]you mean the last element?
its calculated like this:
element[15] += element[3] * x + element[7] * y + element[11] * z

the reason for += is because you also add element[15] * w, but here we assume w to be 1.0f

so... if you are only translating x and y, then z would be 0, and thus:
element[15] += element[3] * x + element[7] * y[/s]

nevermind, i just noticed you said -Rotate-XY
let's see....

in this code sx is sin(x), sy is sin(y), and cx is cos(x), finally cy is cos(y)

[CODE]
// left vector
m_Element[0] = cy;
m_Element[1] = sx * sy;
m_Element[2] = -cx * sy;
m_element[3] = 0.0f; // w1

// up vector
m_Element[4] = 0.0f;
m_Element[5] = cx;
m_Element[6] = sx;
m_element[7] = 0.0f; // w2
// forward vector
m_Element[ 8] = sy;
m_Element[ 9] = -sx * cy;
m_Element[10] = cx * cy;
m_element[11] = 0.0f; // w3

// translation
m_element[12] = 0.0f; // tx
m_element[13] = 0.0f; // ty
m_element[14] = 0.0f; // tz
m_element[15] = 1.0f; // w4
[/CODE]

i haven't really optimized this, and as you can see this only creates a 2D rotation matrix
i think it's probably best for each rotation to make a matrix and multiply together to make a complete transformation Edited by Kaptein

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