#ifndef __glfixed_h_ #define __glfixed_h_ /* ** Copyright 1991, Silicon Graphics, Inc. ** All Rights Reserved. ** ** This is UNPUBLISHED PROPRIETARY SOURCE CODE of Silicon Graphics, Inc.; ** the contents of this file may not be disclosed to third parties, copied or ** duplicated in any form, in whole or in part, without the prior written ** permission of Silicon Graphics, Inc. ** ** RESTRICTED RIGHTS LEGEND: ** Use, duplication or disclosure by the Government is subject to restrictions ** as set forth in subdivision (c)(1)(ii) of the Rights in Technical Data ** and Computer Software clause at DFARS 252.227-7013, and/or in similar or ** successor clauses in the FAR, DOD or NASA FAR Supplement. Unpublished - ** rights reserved under the Copyright Laws of the United States. */ #include "types.h" #include "cpu.h" /* ** These constants in this file must be valid for all adapters using ** these macros and code which uses these macros. ** ** These should be equal */ #define __GL_MAX_WINDOW_SIZE_LOG2 14 #define __GL_MAX_WINDOW_WIDTH (1 << __GL_MAX_WINDOW_SIZE_LOG2) #define __GL_MAX_WINDOW_HEIGHT __GL_MAX_WINDOW_WIDTH /* ** Bias numbers for moving window coordinates into a positive space. ** These values are used during viewport computations. ** ** In our existing code this is only used to provide some buffer room ** in the vertex coordinate space to avoid any errors caused by ** small under- or overflows around the edge of the viewport caused ** by clip inaccuracy. ** ** It must be less than the max window size so that the case of ** a point exactly at the max window value doesn't overflow ** the fixing range */ #define __GL_VERTEX_X_BIAS (1 << (__GL_MAX_WINDOW_SIZE_LOG2-1)) #define __GL_VERTEX_Y_BIAS __GL_VERTEX_X_BIAS /* ** Fixing numbers. These are used to move the biased window coordinates ** into a range where the number of fraction bits are constant from the ** minimal value in the range to the largest value in the range. ** ** This value should be twice as large as the highest possible window ** coordinate value. Both values should be the same. ** ** Having the bias in addition to this is important because in ** extreme cases the clipper can generate values slightly outside ** the clip range, due to FP inaccuracy. A slop bias in addition ** to the real fixing bias makes it impossible to underflow. */ #define __GL_VERTEX_FIX_POINT (__GL_MAX_WINDOW_SIZE_LOG2+1) #define __GL_VERTEX_X_FIX (1 << __GL_VERTEX_FIX_POINT) #define __GL_VERTEX_Y_FIX __GL_VERTEX_X_FIX // The addition of the FIX bias to raw window coordinates forces the // MSB of the window coordinate to always be the same since the FIX // value is chosen to be the largest power of two greater than any // possibly window coordinate value. With the MSB pinned down, the // floating-point representation of a window coordinates degenerates to // a fixed-point number since the MSB doesn't change. // // We take advantage of this in conversions. #define __GL_VERTEX_FRAC_BITS \ (__GL_FLOAT_MANTISSA_BITS-__GL_VERTEX_FIX_POINT) #define __GL_VERTEX_FRAC_HALF \ (1 << (__GL_VERTEX_FRAC_BITS-1)) #define __GL_VERTEX_FRAC_ONE \ (1 << __GL_VERTEX_FRAC_BITS) // Converts a floating-point window coordinate to integer #define __GL_VERTEX_FLOAT_TO_INT(windowCoord) \ __GL_FIXED_FLOAT_TO_INT(windowCoord, __GL_VERTEX_FRAC_BITS) // To fixed point #define __GL_VERTEX_FLOAT_TO_FIXED(windowCoord) \ __GL_FIXED_FLOAT_TO_FIXED(windowCoord) // And back #define __GL_VERTEX_FIXED_TO_FLOAT(fxWindowCoord) \ __GL_FIXED_TO_FIXED_FLOAT(fxWindowCoord, __GL_VERTEX_FRAC_BITS) // Fixed-point to integer #define __GL_VERTEX_FIXED_TO_INT(fxWindowCoord) \ ((fxWindowCoord) >> __GL_VERTEX_FRAC_BITS) // Returns the fraction from a FP window coordinate as an N // bit integer, where N depends on the FP mantissa size and the // FIX size #define __GL_VERTEX_FLOAT_FRACTION(windowCoord) \ __GL_FIXED_FLOAT_FRACTION(windowCoord, __GL_VERTEX_FRAC_BITS) // Scale the fraction to 2^31 for step values #define __GL_VERTEX_PROMOTE_FRACTION(frac) \ ((frac) << (31-__GL_VERTEX_FRAC_BITS)) #define __GL_VERTEX_PROMOTED_FRACTION(windowCoord) \ __GL_VERTEX_PROMOTE_FRACTION(__GL_VERTEX_FLOAT_FRACTION(windowCoord)) // Compare two window coordinates. Since window coordinates // are fixed-point numbers, they can be compared directly as // integers #define __GL_VERTEX_COMPARE(a, op, b) \ ((*(LONG *)&(a)) op (*(LONG *)&(b))) #endif /* __glfixed_h_ */