d30c52ffd4
* clutter/cogl/cogl-color.h: * clutter/cogl/cogl-fixed.h: * clutter/cogl/cogl-offscreen.h: * clutter/cogl/cogl-path.h: * clutter/cogl/cogl-shader.h: * clutter/cogl/cogl-texture.h: * clutter/cogl/cogl-types.h: Add copyright and licensing notice to the newly added files.
756 lines
16 KiB
C
756 lines
16 KiB
C
/* cogl-fixed.h: Fixed point API
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* This file is part of Clutter
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*
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* Copyright (C) 2008 Intel Corporation.
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library. If not, see <http://www.gnu.org/licenses/>.
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*/
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#if !defined(__COGL_H_INSIDE__) && !defined(CLUTTER_COMPILATION)
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#error "Only <cogl/cogl.h> can be included directly."
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#endif
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#ifndef __COGL_FIXED_H__
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#define __COGL_FIXED_H__
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#include <cogl/cogl-types.h>
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/**
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* SECTION:cogl-fixed
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* @short_description: Fixed Point API
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*
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* COGL has a fixed point API targeted at platforms without a floating
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* point unit, such as embedded devices. On such platforms this API should
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* be preferred to the floating point one as it does not trigger the slow
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* path of software emulation, relying on integer math for fixed-to-floating
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* and floating-to-fixed notations conversion.
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*
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* It is not recommened for use on platforms with a floating point unit
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* (e.g. desktop systems), nor for use in language bindings.
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*
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* Basic rules of Fixed Point arithmethic:
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* <itemizedlist>
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* <listitem>
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* <para>Two fixed point numbers can be directly added, subtracted and
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* have their modulus taken.</para>
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* </listitem>
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* <listitem>
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* <para>To add other numerical type to a fixed point number it has to
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* be first converted to fixed point.</para>
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* </listitem>
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* <listitem>
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* <para>A fixed point number can be directly multiplied or divided by
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* an integer.</para>
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* </listitem>
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* <listitem>
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* <para>Two fixed point numbers can only be multiplied and divided by
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* the provided %COGL_FIXED_MUL and %COGL_FIXED_DIV macros.</para>
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* </listitem>
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* </itemizedlist>
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*
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* The fixed point API is available since COGL 1.0.
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*/
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G_BEGIN_DECLS
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/**
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* COGL_FIXED_BITS:
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*
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* Evaluates to the number of bits used by the #CoglFixed type.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_BITS (32)
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/**
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* COGL_FIXED_Q:
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*
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* Evaluates to the number of bits used for the non-integer part
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* of the #CoglFixed type.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_Q (COGL_FIXED_BITS - 16)
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/**
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* COGL_FIXED_1:
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*
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* The number 1 expressed as a #CoglFixed number.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_1 (1 << COGL_FIXED_Q)
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/**
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* COGL_FIXED_0_5:
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*
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* The number 0.5 expressed as a #CoglFixed number.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_0_5 (32768)
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/**
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* COGL_FIXED_EPSILON:
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*
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* A very small number expressed as a #CoglFixed number.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_EPSILON (1)
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/**
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* COGL_FIXED_MAX:
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*
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* The biggest number representable using #CoglFixed
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_MAX (0x7fffffff)
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/**
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* COGL_FIXED_MIN:
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*
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* The smallest number representable using #CoglFixed
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_MIN (0x80000000)
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/**
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* COGL_FIXED_PI:
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*
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* The number pi, expressed as a #CoglFixed number.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_PI (0x0003243f)
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/**
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* COGL_FIXED_2_PI:
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*
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* Two times pi, expressed as a #CoglFixed number.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_2_PI (0x0006487f)
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/**
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* COGL_FIXED_PI_2:
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*
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* Half pi, expressed as a #CoglFixed number.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_PI_2 (0x00019220)
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/**
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* COGL_FIXED_PI_4:
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*
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* pi / 4, expressed as #CoglFixed number.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_PI_4 (0x0000c910)
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/**
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* COGL_FIXED_360:
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*
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* Evaluates to the number 360 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_360 (COGL_FIXED_FROM_INT (360))
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/**
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* COGL_FIXED_270:
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*
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* Evaluates to the number 270 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_270 (COGL_FIXED_FROM_INT (270))
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/**
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* COGL_FIXED_255:
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*
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* Evaluates to the number 255 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_255 (COGL_FIXED_FROM_INT (255))
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/**
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* COGL_FIXED_240:
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*
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* Evaluates to the number 240 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_240 (COGL_FIXED_FROM_INT (240))
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/**
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* COGL_FIXED_180:
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*
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* Evaluates to the number 180 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_180 (COGL_FIXED_FROM_INT (180))
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/**
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* COGL_FIXED_120:
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*
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* Evaluates to the number 120 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_120 (COGL_FIXED_FROM_INT (120))
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/**
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* COGL_FIXED_90:
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*
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* Evaluates to the number 90 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_90 (COGL_FIXED_FROM_INT (90))
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/**
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* COGL_FIXED_60:
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*
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* Evaluates to the number 60 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_60 (COGL_FIXED_FROM_INT (60))
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/**
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* COGL_FIXED_45:
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*
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* Evaluates to the number 45 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_45 (COGL_FIXED_FROM_INT (45))
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/**
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* COGL_FIXED_30:
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*
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* Evaluates to the number 30 in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_30 (COGL_FIXED_FROM_INT (30))
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/**
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* COGL_RADIANS_TO_DEGREES:
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*
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* Evaluates to 180 / pi in fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_RADIANS_TO_DEGREES (0x394bb8)
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/*
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* conversion macros
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*/
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/**
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* COGL_FIXED_FROM_FLOAT:
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* @x: a floating point number
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*
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* Converts @x from a floating point to a fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_FROM_FLOAT(x) (cogl_double_to_fixed (x))
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/**
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* COGL_FIXED_TO_FLOAT:
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* @x: a #CoglFixed number
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*
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* Converts @x from a fixed point to a floating point notation, in
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* single precision.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_TO_FLOAT(x) ((float) ((int)(x) / 65536.0))
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/**
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* COGL_FIXED_TO_FLOAT:
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* @x: a #CoglFixed number
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*
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* Converts @x from a fixed point to a floatint point notation, in
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* double precision.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_TO_DOUBLE(x) ((double) ((int)(x) / 65536.0))
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/**
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* COGL_FIXED_FROM_INT:
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* @x: an integer number
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*
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* Converts @x from an integer to a fixed point notation.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_FROM_INT(x) ((x) << COGL_FIXED_Q)
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/**
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* COGL_FIXED_TO_INT:
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* @x: a #CoglFixed number
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*
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* Converts @x from a fixed point notation to an integer, dropping
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* the fractional part without rounding.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_TO_INT(x) ((x) >> COGL_FIXED_Q)
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/**
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* COGL_FLOAT_TO_INT:
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* @x: a floatint point number
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*
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* Converts @x from a floating point notation to a signed integer.
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*
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* Since: 1.0
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*/
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#define COGL_FLOAT_TO_INT(x) (cogl_double_to_int ((x)))
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/**
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* COGL_FLOAT_TO_UINT:
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* @x: a floatint point number
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*
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* Converts @x from a floating point notation to an unsigned integer.
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*
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* Since: 1.0
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*/
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#define COGL_FLOAT_TO_UINT(x) (cogl_double_to_uint ((x)))
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/*
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* fixed point math functions
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*/
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/**
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* COGL_FIXED_FRACTION:
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* @x: a #CoglFixed number
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*
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* Retrieves the fractionary part of @x.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_FRACTION(x) ((x) & ((1 << COGL_FIXED_Q) - 1))
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/**
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* COGL_FIXED_FLOOR:
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* @x: a #CoglFixed number
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*
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* Rounds down a fixed point number to the previous integer.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_FLOOR(x) (((x) >= 0) ? ((x) >> COGL_FIXED_Q) \
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: ~((~(x)) >> COGL_FIXED_Q))
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/**
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* COGL_FIXED_CEIL:
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* @x: a #CoglFixed number
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*
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* Rounds up a fixed point number to the next integer.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_CEIL(x) (COGL_FIXED_FLOOR ((x) + 0xffff))
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/**
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* COGL_FIXED_MUL:
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* @a: a #CoglFixed number
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* @b: a #CoglFixed number
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*
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* Computes (a * b).
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_MUL(a,b) (cogl_fixed_mul ((a), (b)))
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/**
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* COGL_FIXED_DIV:
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* @a: a #CoglFixed number
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* @b: a #CoglFixed number
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*
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* Computes (a / b).
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_DIV(a,b) (cogl_fixed_div ((a), (b)))
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/**
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* COGL_FIXED_MUL_DIV:
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* @a: a #CoglFixed number
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* @b: a #CoglFixed number
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* @c: a #CoglFixed number
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*
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* Computes ((a * b) / c). It is logically equivalent to:
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*
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* |[
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* res = COGL_FIXED_DIV (COGL_FIXED_MUL (a, b), c);
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* ]|
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*
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* But it is shorter to type.
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_MUL_DIV(a,b,c) (cogl_fixed_mul_div ((a), (b), (c)))
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/**
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* COGL_FIXED_FAST_MUL:
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* @a: a #CoglFixed number
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* @b: a #CoglFixed number
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*
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* Fast version of %COGL_FIXED_MUL, implemented as a macro.
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*
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* <note>This macro might lose precision. If the precision of the result
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* is important use %COGL_FIXED_MUL instead.</note>
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_FAST_MUL(a,b) ((a) >> 8) * ((b) >> 8)
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/**
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* COGL_FIXED_FAST_DIV:
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* @a: a #CoglFixed number
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* @b: a #CoglFixed number
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*
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* Fast version of %COGL_FIXED_DIV, implemented as a macro.
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*
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* <note>This macro might lose precision. If the precision of the result
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* is important use %COGL_FIXED_DIV instead.</note>
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*
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* Since: 1.0
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*/
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#define COGL_FIXED_FAST_DIV(a,b) ((((a) << 8) / (b)) << 8)
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/**
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* cogl_fixed_sin:
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* @angle: a #CoglFixed number
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*
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* Computes the sine of @angle.
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*
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* Return value: the sine of the passed angle, in fixed point notation
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*
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* Since: 1.0
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*/
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CoglFixed cogl_fixed_sin (CoglFixed angle);
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/**
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* cogl_fixed_cos:
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* @angle: a #CoglFixed number
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*
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* Computes the cosine of @angle.
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*
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* Return value: the cosine of the passed angle, in fixed point notation
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*
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* Since: 1.0
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*/
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CoglFixed cogl_fixed_cos (CoglFixed angle);
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/**
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* cogl_fixed_atani:
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* @a: a #CoglFixed number
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*
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* Computes the arc tangent of @a.
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*
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* Return value: the arc tangent of the passed value, in fixed point notation
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*
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* Since: 1.0
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*/
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CoglFixed cogl_fixed_atani (CoglFixed a);
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/**
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* cogl_fixed_atan2:
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* @a: the numerator as a #CoglFixed number
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* @b: the denominator as a #CoglFixed number
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*
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* Computes the arc tangent of @a / @b but uses the sign of both
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* arguments to return the angle in right quadrant.
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*
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* Return value: the arc tangent of the passed fraction, in fixed point
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* notation
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*
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* Since: 1.0
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*/
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CoglFixed cogl_fixed_atan2 (CoglFixed a,
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CoglFixed b);
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/*< public >*/
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/* Fixed point math routines */
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G_INLINE_FUNC CoglFixed cogl_fixed_mul (CoglFixed a,
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CoglFixed b);
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G_INLINE_FUNC CoglFixed cogl_fixed_div (CoglFixed a,
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CoglFixed b);
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G_INLINE_FUNC CoglFixed cogl_fixed_mul_div (CoglFixed a,
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CoglFixed b,
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CoglFixed c);
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/**
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* COGL_SQRTI_ARG_MAX:
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*
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* Maximum argument that can be passed to cogl_sqrti() function.
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*
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* Since: 1.0
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*/
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#ifndef __SSE2__
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#define COGL_SQRTI_ARG_MAX 0x3fffff
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#else
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#define COGL_SQRTI_ARG_MAX INT_MAX
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#endif
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/**
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* COGL_SQRTI_ARG_5_PERCENT:
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*
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* Maximum argument that can be passed to cogl_sqrti() for which the
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* resulting error is < 5%
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*
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* Since: 1.0
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*/
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#ifndef __SSE2__
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#define COGL_SQRTI_ARG_5_PERCENT 210
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#else
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#define COGL_SQRTI_ARG_5_PERCENT INT_MAX
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#endif
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/**
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* COGL_SQRTI_ARG_10_PERCENT:
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*
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* Maximum argument that can be passed to cogl_sqrti() for which the
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* resulting error is < 10%
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*
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* Since: 1.0
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*/
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#ifndef __SSE2__
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#define COGL_SQRTI_ARG_10_PERCENT 5590
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#else
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#define COGL_SQRTI_ARG_10_PERCENT INT_MAX
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#endif
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/**
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* cogl_fixed_sqrt:
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* @x: a #CoglFixed number
|
|
*
|
|
* Computes the square root of @x.
|
|
*
|
|
* Return value: the square root of the passed value, in floating point
|
|
* notation
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
CoglFixed cogl_fixed_sqrt (CoglFixed x);
|
|
|
|
/**
|
|
* cogl_fixed_log2:
|
|
* @x: value to calculate base 2 logarithm from
|
|
*
|
|
* Calculates base 2 logarithm.
|
|
*
|
|
* This function is some 2.5 times faster on x86, and over 12 times faster on
|
|
* fpu-less arm, than using libc log().
|
|
*
|
|
* Return value: base 2 logarithm.
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
CoglFixed cogl_fixed_log2 (guint x);
|
|
|
|
/**
|
|
* cogl_fixed_pow2:
|
|
* @x: a #CoglFixed number
|
|
*
|
|
* Calculates 2 to the @x power.
|
|
*
|
|
* This function is around 11 times faster on x86, and around 22 times faster
|
|
* on fpu-less arm than libc pow(2, x).
|
|
*
|
|
* Return value: the power of 2 to the passed value
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
guint cogl_fixed_pow2 (CoglFixed x);
|
|
|
|
/**
|
|
* cogl_fixed_pow:
|
|
* @x: base
|
|
* @y: #CoglFixed exponent
|
|
*
|
|
* Calculates @x to the @y power.
|
|
*
|
|
* Return value: the power of @x to the @y
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
guint cogl_fixed_pow (guint x,
|
|
CoglFixed y);
|
|
|
|
/**
|
|
* cogl_sqrti:
|
|
* @x: integer value
|
|
*
|
|
* Very fast fixed point implementation of square root for integers.
|
|
*
|
|
* This function is at least 6x faster than clib sqrt() on x86, and (this is
|
|
* not a typo!) about 500x faster on ARM without FPU. It's error is less than
|
|
* 5% for arguments smaller than %COGL_SQRTI_ARG_5_PERCENT and less than 10%
|
|
* for narguments smaller than %COGL_SQRTI_ARG_10_PERCENT. The maximum
|
|
* argument that can be passed to this function is %COGL_SQRTI_ARG_MAX.
|
|
*
|
|
* Return value: integer square root.
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
gint cogl_sqrti (gint x);
|
|
|
|
/**
|
|
* COGL_ANGLE_FROM_DEG:
|
|
* @x: an angle in degrees in floating point notation
|
|
*
|
|
* Converts an angle in degrees into a #CoglAngle.
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
#define COGL_ANGLE_FROM_DEG(x) (COGL_FLOAT_TO_INT (((float)(x) * 1024.0f) / 360.0f))
|
|
|
|
/**
|
|
* COGL_ANGLE_TO_DEG:
|
|
* @x: a #CoglAngle
|
|
*
|
|
* Converts a #CoglAngle into an angle in degrees, using floatint point
|
|
* notation.
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
#define COGL_ANGLE_TO_DEG(x) (((float)(x) * 360.0) / 1024.0)
|
|
|
|
/**
|
|
* COGL_ANGLE_FROM_DEGX:
|
|
* @x: an angle in degrees in fixed point notation
|
|
*
|
|
* Converts an angle in degrees into a #CoglAngle.
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
#define COGL_ANGLE_FROM_DEGX(x) (COGL_FIXED_TO_INT ((((x) / 360) * 1024) + COGL_FIXED_0_5))
|
|
|
|
/**
|
|
* COGL_ANGLE_TO_DEGX:
|
|
* @x: a #CoglAngle
|
|
*
|
|
* Converts a #CoglAngle into an angle in degrees, using fixed point notation
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
#define COGL_ANGLE_TO_DEGX(x) (COGL_FIXED_FROM_INT ((x) * 45) / 128)
|
|
|
|
/**
|
|
* cogl_angle_sin:
|
|
* @angle: an angle expressed using #CoglAngle
|
|
*
|
|
* Computes the sine of @angle
|
|
*
|
|
* Return value: the sine of the passed angle
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
CoglFixed cogl_angle_sin (CoglAngle angle);
|
|
|
|
/**
|
|
* cogl_angle_tan:
|
|
* @angle: an angle expressed using #CoglAngle
|
|
*
|
|
* Computes the tangent of @angle
|
|
*
|
|
* Return value: the tangent of the passed angle
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
CoglFixed cogl_angle_tan (CoglAngle angle);
|
|
|
|
/**
|
|
* cogl_angle_cos:
|
|
* @angle: an angle expressed using #CoglAngle
|
|
*
|
|
* Computes the cosine of @angle
|
|
*
|
|
* Return value: the cosine of the passed angle
|
|
*
|
|
* Since: 1.0
|
|
*/
|
|
CoglFixed cogl_angle_cos (CoglAngle angle);
|
|
|
|
/*< private >*/
|
|
|
|
#if defined (G_CAN_INLINE)
|
|
G_INLINE_FUNC CoglFixed
|
|
cogl_fixed_mul (CoglFixed a,
|
|
CoglFixed b)
|
|
{
|
|
# ifdef __arm__
|
|
int res_low, res_hi;
|
|
|
|
__asm__ ("smull %0, %1, %2, %3 \n"
|
|
"mov %0, %0, lsr %4 \n"
|
|
"add %1, %0, %1, lsl %5 \n"
|
|
: "=r"(res_hi), "=r"(res_low)\
|
|
: "r"(a), "r"(b), "i"(COGL_FIXED_Q), "i"(32 - COGL_FIXED_Q));
|
|
|
|
return (CoglFixed) res_low;
|
|
# else
|
|
long long r = (long long) a * (long long) b;
|
|
|
|
return (unsigned int)(r >> COGL_FIXED_Q);
|
|
# endif
|
|
}
|
|
#endif
|
|
|
|
#if defined (G_CAN_INLINE)
|
|
G_INLINE_FUNC CoglFixed
|
|
cogl_fixed_div (CoglFixed a,
|
|
CoglFixed b)
|
|
{
|
|
return (CoglFixed) ((((gint64) a) << COGL_FIXED_Q) / b);
|
|
}
|
|
#endif
|
|
|
|
#if defined(G_CAN_INLINE)
|
|
G_INLINE_FUNC CoglFixed
|
|
cogl_fixed_mul_div (CoglFixed a,
|
|
CoglFixed b,
|
|
CoglFixed c)
|
|
{
|
|
CoglFixed ab = cogl_fixed_mul (a, b);
|
|
CoglFixed quo = cogl_fixed_div (ab, c);
|
|
|
|
return quo;
|
|
}
|
|
#endif
|
|
|
|
extern CoglFixed cogl_double_to_fixed (double value);
|
|
extern gint cogl_double_to_int (double value);
|
|
extern guint cogl_double_to_unit (double value);
|
|
|
|
G_END_DECLS
|
|
|
|
#endif /* __COGL_FIXED_H__ */
|