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diff --git a/nx-X11/extras/ogl-sample/main/doc/man/mangl/standard/multmatrix.gl b/nx-X11/extras/ogl-sample/main/doc/man/mangl/standard/multmatrix.gl new file mode 100644 index 000000000..fe0af0ee5 --- /dev/null +++ b/nx-X11/extras/ogl-sample/main/doc/man/mangl/standard/multmatrix.gl @@ -0,0 +1,132 @@ +_C_ License Applicability. Except to the extent portions of this file are +_C_ made subject to an alternative license as permitted in the SGI Free +_C_ Software License B, Version 1.1 (the "License"), the contents of this +_C_ file are subject only to the provisions of the License. You may not use +_C_ this file except in compliance with the License. You may obtain a copy +_C_ of the License at Silicon Graphics, Inc., attn: Legal Services, 1600 +_C_ Amphitheatre Parkway, Mountain View, CA 94043-1351, or at: +_C_ +_C_ http://oss.sgi.com/projects/FreeB +_C_ +_C_ Note that, as provided in the License, the Software is distributed on an +_C_ "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS +_C_ DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND +_C_ CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A +_C_ PARTICULAR PURPOSE, AND NON-INFRINGEMENT. +_C_ +_C_ Original Code. The Original Code is: OpenGL Sample Implementation, +_C_ Version 1.2.1, released January 26, 2000, developed by Silicon Graphics, +_C_ Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc. +_C_ Copyright in any portions created by third parties is as indicated +_C_ elsewhere herein. All Rights Reserved. +_C_ +_C_ Additional Notice Provisions: The application programming interfaces +_C_ established by SGI in conjunction with the Original Code are The +_C_ OpenGL(R) Graphics System: A Specification (Version 1.2.1), released +_C_ April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version +_C_ 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X +_C_ Window System(R) (Version 1.3), released October 19, 1998. This software +_C_ was created using the OpenGL(R) version 1.2.1 Sample Implementation +_C_ published by SGI, but has not been independently verified as being +_C_ compliant with the OpenGL(R) version 1.2.1 Specification. +_C_ +_C_ The first character in this file must be an '_'! +_C_ Anything on a line after _C_ is ignored +_define(_filters,eqn)_C_ +_C_ eqn is automatically replaced with neqn for nroff +_header(MultMatrix,multiply the current matrix with the specified matrix) +_names(MultMatrix,[df]) +.EQ +delim $$ +.EN +.SH PARAMETERS +_phead(_param1) +Points to 16 consecutive values that are used as the elements of +a $4 ~times~ 4$ column-major matrix. +.SH DESCRIPTION +_cmnd multiplies the current matrix with the one specified using _param1, and +replaces the current matrix with the product. +.P +The current matrix is determined by the current matrix mode (see _cmnd(MatrixMode)). It is either the projection matrix, +modelview matrix, +or the texture matrix. +.SH EXAMPLES +If the current matrix is $C$, and the coordinates +to be transformed are, $v ~=~ (v[0], v[1], v[2], v[3])$. +Then the current transformation is $C ~times~ v$, or +.sp +.ce +.EQ +down 130 +{{ left ( matrix { + ccol { c[0] above c[1] above c[2] above c[3] } + ccol { c[4] above c[5] above c[6] above c[7] } + ccol { c[8] above c[9] above c[10] above c[11] } + ccol { c[12]~ above c[13]~ above c[14]~ above c[15]~ } +} right ) } ~~ times ~~ +{left ( matrix { +ccol { v[0]~ above v[1]~ above v[2]~ above v[3]~ } +} right )} } +.EN +.sp +.P +Calling _cmnd with an argument of $_eqnparam1 ~=~ m[0], m[1], ..., m[15]$ +replaces the current transformation with $(C ~times~ M) ~times~ v$, +or +.sp +.ce +.EQ +down 130 +{{ left ( matrix { + ccol { c[0] above c[1] above c[2] above c[3] } + ccol { c[4] above c[5] above c[6] above c[7] } + ccol { c[8] above c[9] above c[10] above c[11] } + ccol { c[12]~ above c[13]~ above c[14]~ above c[15]~ } +} right ) } ~~ times ~~ +{ left ( matrix { + ccol { m[0] above m[1] above m[2] above m[3] } + ccol { m[4] above m[5] above m[6] above m[7] } + ccol { m[8] above m[9] above m[10] above m[11] } + ccol { m[12]~ above m[13]~ above m[14]~ above m[15]~ } +} right ) } ~~ times ~~ +{left ( matrix { +ccol { v[0]~ above v[1]~ above v[2]~ above v[3]~ } +} right )} } +.EN +.sp +.P +Where '$times$' denotes matrix multiplication, and +$v$ is represented as a $4 ~times~ 1$ matrix. +.br +.SH NOTES +While the elements of the matrix may be specified with +single or double precision, the GL may store or operate on these +values in less than single precision. +.P +In many computer languages $4 ~times~ 4$ arrays are represented +in row-major order. The transformations just described +represent these matrices in column-major order. +The order of the multiplication is important. For example, if the current +transformation is a rotation, and _cmnd is called with a translation matrix, +the translation is done directly on the coordinates to be transformed, +while the rotation is done on the results of that translation. +.SH ERRORS +_const(INVALID_OPERATION) is generated if _cmnd +is executed between the execution of _cmnd(Begin) +and the corresponding execution of _cmnd(End). +.SH ASSOCIATED GETS +_cmnd(Get) with argument _const(MATRIX_MODE) +.br +_cmnd(Get) with argument _const(COLOR_MATRIX) +.br +_cmnd(Get) with argument _const(MODELVIEW_MATRIX) +.br +_cmnd(Get) with argument _const(PROJECTION_MATRIX) +.br +_cmnd(Get) with argument _const(TEXTURE_MATRIX) +.SH SEE ALSO +_cmnd(LoadIdentity), +_cmnd(LoadMatrix), +_cmnd(MatrixMode), +_cmnd(PushMatrix) + |