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/*************************************************************************** |
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* Copyright (c) 2024 Microsoft Corporation |
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* |
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* This program and the accompanying materials are made available under the |
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* terms of the MIT License which is available at |
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* https://opensource.org/licenses/MIT. |
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* |
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* SPDX-License-Identifier: MIT |
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**************************************************************************/ |
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/**************************************************************************/ |
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/**************************************************************************/ |
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/** */ |
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/** GUIX Component */ |
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/** */ |
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/** Display Management (Display) */ |
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/** */ |
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/**************************************************************************/ |
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#define GX_SOURCE_CODE |
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/* Include necessary system files. */ |
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#include "gx_api.h" |
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#include "gx_utility.h" |
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#include "gx_display.h" |
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/**************************************************************************/ |
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/* */ |
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/* FUNCTION RELEASE */ |
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/* */ |
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/* _gx_display_driver_generic_ellipse_draw PORTABLE C */ |
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/* 6.1.6 */ |
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/* AUTHOR */ |
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/* */ |
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/* Kenneth Maxwell, Microsoft Corporation */ |
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/* */ |
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/* DESCRIPTION */ |
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/* */ |
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/* Display driver to draw ellipse. */ |
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/* */ |
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/* INPUT */ |
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/* */ |
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/* context Drawing context */ |
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/* xcenter x-coord of center of ellipse */ |
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/* ycenter y-coord of center of ellipse */ |
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/* a Length of the Semi-major Axis */ |
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/* b Length of the Semi-minor Axis */ |
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/* */ |
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/* OUTPUT */ |
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/* */ |
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/* None */ |
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/* */ |
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/* CALLS */ |
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/* */ |
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/* [gx_display_driver_pixel_blend] Basic display driver pixel */ |
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/* blend function */ |
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/* [gx_display_driver_pixel_write] Basic display driver pixel */ |
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/* write function */ |
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/* _gx_utility_rectangle_point_detect Detect whether a pixel is */ |
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/* inside rectangle */ |
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/* */ |
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/* CALLED BY */ |
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/* */ |
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/* GUIX Internal Code */ |
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/* */ |
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/* RELEASE HISTORY */ |
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/* */ |
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/* DATE NAME DESCRIPTION */ |
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/* */ |
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/* 05-19-2020 Kenneth Maxwell Initial Version 6.0 */ |
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/* 09-30-2020 Kenneth Maxwell Modified comment(s), */ |
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/* resulting in version 6.1 */ |
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/* 04-02-2021 Kenneth Maxwell Modified comment(s), */ |
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/* improved precision, */ |
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/* resulting in version 6.1.6 */ |
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/* */ |
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/**************************************************************************/ |
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VOID _gx_display_driver_generic_ellipse_draw(GX_DRAW_CONTEXT *context, INT xcenter, INT ycenter, INT a, INT b) |
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{ |
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/* The ellipse draw function is implemented from Bresenham ellipse algorithm. */ |
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INT x; |
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INT y; |
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INT d; |
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GX_POINT point; |
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INT sign[4][2] = {{1, 1}, {-1, 1}, {1, -1}, {-1, -1}}; |
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INT index; |
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INT aa; |
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INT bb; |
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GX_DISPLAY *display = context -> gx_draw_context_display; |
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GX_BRUSH *brush = &context -> gx_draw_context_brush; |
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GX_RECTANGLE *clip = context -> gx_draw_context_clip; |
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#if defined(GX_BRUSH_ALPHA_SUPPORT) |
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GX_UBYTE brush_alpha = brush -> gx_brush_alpha; |
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✓✓ |
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if (display -> gx_display_driver_pixel_blend == GX_NULL) |
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{ |
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/* Pixel blend function is null means alpha isn't supported in this driver. |
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So set alpha value to 0xff to make it draw the original color in case GX_BRUSH_ALPHA_SUPPORT is defined. */ |
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brush_alpha = 0xff; |
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} |
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else |
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{ |
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✓✓ |
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if (brush_alpha == 0) |
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{ |
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/* Nothing to draw here. */ |
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return; |
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} |
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} |
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#endif |
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/* The ellipse is split into 2 regions, region I with dx > dy and resion II with dx <= dy. |
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In region I, the midpoint between (x + 1, y) and (x + 1, y - 1) is used to select next point that is closer to the ellipse, |
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d(x + 1, y - 0.5) is the distance from the midpoint to the ellipse center, |
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if the decision < 0, the midpoint is inside the ellipse, point (x + 1, y - 1) is closer to the ellipse, and be selected for drawing. |
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otherwise, (x + 1, y) is selected. |
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In region II, the midpoint between (x, y - 1) and (x + 1, y - 1) is used to select next point that is closer to the ellipse, |
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d(x + 0.5, y - 1) is the distance from the midpoint to ellipse center, |
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if the decision < 0, the midpoint is inside the ellipse, point(x + 1, y - 1) is closer to the ellipse, and be selected for drawing, |
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otherwise, (x, y - 1) is selected. |
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Ellipse equation is f(x, y) = sqr(b * x) + sqr(a * y) - sqr(a * b). |
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First, we assume ellipse is centered at the origin(0, 0), and the first point is (0, b). |
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Set initial decision value for region I as d = f(1, b - 0.5) = sqr(b) + sqr(a) * (-b + 0.25). |
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*/ |
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aa = a * a; |
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bb = b * b; |
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x = 0; |
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y = b; |
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/* Decision is enlarged by 4 to avoid floating point. */ |
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d = (bb << 2) + aa * (1 - (b << 2)); |
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#if defined(GX_BRUSH_ALPHA_SUPPORT) |
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✓✓ |
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if (brush_alpha != 0xff) |
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{ |
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/* Region I of the first quarter of the ellipse. */ |
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✓✓ |
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while ((bb << 1) * (x + 1) < aa * (2 * y - 1)) |
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{ |
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✓✓ |
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for (index = 0; index < 4; index++) |
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{ |
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point.gx_point_x = (GX_VALUE)(x * sign[index][0] + xcenter); |
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point.gx_point_y = (GX_VALUE)(y * sign[index][1] + ycenter); |
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✓✓ |
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if (_gx_utility_rectangle_point_detect(clip, point)) |
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{ |
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display -> gx_display_driver_pixel_blend(context, point.gx_point_x, point.gx_point_y, brush -> gx_brush_line_color, brush_alpha); |
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} |
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} |
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✓✓ |
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if (d < 0) |
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{ |
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d += (bb << 2) * ((x << 1) + 3); |
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} |
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else |
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{ |
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d += (bb << 2) * ((x << 1) + 3) + (aa << 3) * (1 - y); |
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y--; |
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} |
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x++; |
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} |
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d = bb * ((x << 1) + 1) * ((x << 1) + 1) + (aa << 2) * (y - 1) * (y - 1) - (aa << 2) * bb; |
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/* Region II of the first quarter of the ellipse. */ |
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✓✓ |
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while (y >= 0) |
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{ |
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✓✓ |
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for (index = 0; index < 4; index++) |
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{ |
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point.gx_point_x = (GX_VALUE)(x * sign[index][0] + xcenter); |
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point.gx_point_y = (GX_VALUE)(y * sign[index][1] + ycenter); |
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✓✓ |
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if (_gx_utility_rectangle_point_detect(clip, point)) |
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{ |
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display -> gx_display_driver_pixel_blend(context, point.gx_point_x, point.gx_point_y, brush -> gx_brush_line_color, brush_alpha); |
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} |
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} |
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✓✓ |
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if (d < 0) |
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{ |
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d += (bb << 3) * (x + 1) + (aa << 2) * (3 - (y << 1)); |
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x++; |
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} |
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else |
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{ |
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d += (aa << 2) * (3 - (y << 1)); |
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} |
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y--; |
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} |
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} |
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else |
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{ |
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#endif |
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/* Region I of the first quarter of the ellipse. */ |
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✓✓ |
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while ((bb << 1) * (x + 1) < aa * (2 * y - 1)) |
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{ |
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✓✓ |
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for (index = 0; index < 4; index++) |
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{ |
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point.gx_point_x = (GX_VALUE)(x * sign[index][0] + xcenter); |
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point.gx_point_y = (GX_VALUE)(y * sign[index][1] + ycenter); |
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✓✓ |
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if (_gx_utility_rectangle_point_detect(clip, point)) |
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{ |
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display -> gx_display_driver_pixel_write(context, point.gx_point_x, point.gx_point_y, brush -> gx_brush_line_color); |
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} |
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} |
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✓✓ |
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if (d < 0) |
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{ |
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d += (bb << 2) * ((x << 1) + 3); |
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} |
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else |
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{ |
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d += (bb << 2) * ((x << 1) + 3) + (aa << 3) * (1 - y); |
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y--; |
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} |
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x++; |
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} |
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/* Set initial decision value for region II as d = f(x + 0.5, y - 1) = sqr(b * (x + 0.5) + sqr(a * (y - 1)) - sqr(a * b). |
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Enlarge the decision by 4 to avoid float calculation. */ |
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d = bb * ((x << 1) + 1) * ((x << 1) + 1) + (aa << 2) * (y - 1) * (y - 1) - (aa << 2) * bb; |
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/* Region II of the first quarter of the ellipse. */ |
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✓✓ |
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while (y >= 0) |
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{ |
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✓✓ |
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for (index = 0; index < 4; index++) |
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{ |
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point.gx_point_x = (GX_VALUE)(x * sign[index][0] + xcenter); |
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point.gx_point_y = (GX_VALUE)(y * sign[index][1] + ycenter); |
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✓✓ |
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if (_gx_utility_rectangle_point_detect(clip, point)) |
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{ |
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display -> gx_display_driver_pixel_write(context, point.gx_point_x, point.gx_point_y, brush -> gx_brush_line_color); |
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} |
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} |
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✓✓ |
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if (d < 0) |
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{ |
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d += (bb << 3) * (x + 1) + (aa << 2) * (3 - (y << 1)); |
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x++; |
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} |
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else |
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{ |
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d += (aa << 2) * (3 - (y << 1)); |
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} |
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y--; |
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} |
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#if defined(GX_BRUSH_ALPHA_SUPPORT) |
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} |
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#endif |
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} |
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