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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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/** Utility (Utility) */ |
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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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/* define the the table of arc sine values. |
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The values have been enlarged by 256. */ |
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static GX_CONST GX_UBYTE asin_angle_value_table[] = { |
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0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x01, 0x01, 0x01, 0x02, 0x02, 0x02, 0x02, 0x02, 0x03, 0x03, |
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0x03, 0x03, 0x04, 0x04, 0x04, 0x04, 0x04, 0x05, 0x05, 0x05, 0x05, 0x06, 0x06, 0x06, 0x06, 0x06, |
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0x07, 0x07, 0x07, 0x07, 0x08, 0x08, 0x08, 0x08, 0x09, 0x09, 0x09, 0x09, 0x09, 0x0a, 0x0a, 0x0a, |
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0x0a, 0x0b, 0x0b, 0x0b, 0x0b, 0x0c, 0x0c, 0x0c, 0x0c, 0x0c, 0x0d, 0x0d, 0x0d, 0x0d, 0x0e, 0x0e, |
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0x0e, 0x0e, 0x0f, 0x0f, 0x0f, 0x0f, 0x0f, 0x10, 0x10, 0x10, 0x10, 0x11, 0x11, 0x11, 0x11, 0x12, |
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0x12, 0x12, 0x12, 0x13, 0x13, 0x13, 0x13, 0x13, 0x14, 0x14, 0x14, 0x14, 0x15, 0x15, 0x15, 0x15, |
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0x16, 0x16, 0x16, 0x16, 0x17, 0x17, 0x17, 0x17, 0x18, 0x18, 0x18, 0x18, 0x19, 0x19, 0x19, 0x19, |
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0x1a, 0x1a, 0x1a, 0x1a, 0x1b, 0x1b, 0x1b, 0x1b, 0x1c, 0x1c, 0x1c, 0x1c, 0x1d, 0x1d, 0x1d, 0x1d, |
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0x1e, 0x1e, 0x1e, 0x1e, 0x1f, 0x1f, 0x1f, 0x1f, 0x20, 0x20, 0x20, 0x21, 0x21, 0x21, 0x21, 0x22, |
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0x22, 0x22, 0x22, 0x23, 0x23, 0x23, 0x24, 0x24, 0x24, 0x24, 0x25, 0x25, 0x25, 0x26, 0x26, 0x26, |
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0x26, 0x27, 0x27, 0x27, 0x28, 0x28, 0x28, 0x28, 0x29, 0x29, 0x29, 0x2a, 0x2a, 0x2a, 0x2b, 0x2b, |
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0x2b, 0x2b, 0x2c, 0x2c, 0x2c, 0x2d, 0x2d, 0x2d, 0x2e, 0x2e, 0x2e, 0x2f, 0x2f, 0x2f, 0x30, 0x30, |
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0x30, 0x31, 0x31, 0x31, 0x32, 0x32, 0x32, 0x33, 0x33, 0x34, 0x34, 0x34, 0x35, 0x35, 0x35, 0x36, |
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0x36, 0x37, 0x37, 0x37, 0x38, 0x38, 0x39, 0x39, 0x39, 0x3a, 0x3a, 0x3b, 0x3b, 0x3c, 0x3c, 0x3d, |
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0x3d, 0x3d, 0x3e, 0x3e, 0x3f, 0x3f, 0x40, 0x40, 0x41, 0x42, 0x42, 0x43, 0x43, 0x44, 0x44, 0x45, |
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0x46, 0x46, 0x47, 0x48, 0x49, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f, 0x51, 0x52, 0x54, 0x5a |
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}; |
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/**************************************************************************/ |
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/* */ |
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/* FUNCTION RELEASE */ |
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/* */ |
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/* _gx_utility_math_asin_5_4_0 PORTABLE C */ |
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/* 6.1 */ |
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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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/* This service computes the angle value of the arc sin x, which is an */ |
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/* old version of _gx_utility_math_asin. */ |
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/* */ |
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/* INPUT */ |
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/* */ |
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/* x Value whose arc sin is */ |
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/* computed, in the interval */ |
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/* [-256, 256]. */ |
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/* */ |
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/* OUTPUT */ |
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/* */ |
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/* angle Angle value of arc sin of x */ |
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/* */ |
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/* CALLS */ |
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/* */ |
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/* None */ |
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/* */ |
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/* CALLED BY */ |
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/* */ |
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/* Application 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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/* */ |
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/**************************************************************************/ |
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#if defined(GUIX_5_4_0_COMPATIBILITY) |
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INT _gx_utility_math_asin_5_4_0(INT x) |
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{ |
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INT angle = 0; |
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if (x == 256) |
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{ |
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angle = 90; |
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} |
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else if ((x < 256) && (x >= 0)) |
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{ |
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angle = asin_angle_value_table[x]; |
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} |
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else if ((x > -256) && (x < 0)) |
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{ |
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angle = 0 - asin_angle_value_table[x * -1]; |
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} |
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else if (x == -256) |
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{ |
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angle = -90; |
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} |
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return angle; |
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} |
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#endif |
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/**************************************************************************/ |
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/* */ |
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/* FUNCTION RELEASE */ |
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/* */ |
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/* _gx_utility_math_asin PORTABLE C */ |
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/* 6.1 */ |
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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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/* This service computes the angle value of the arc sin x. */ |
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/* */ |
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/* INPUT */ |
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/* */ |
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/* x Value whose arc sin is */ |
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/* computed. The value is a */ |
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/* fixed point math data type, */ |
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/* call GX_FIXED_VAL_MAKE to do */ |
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/* type conversion. */ |
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/* */ |
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/* OUTPUT */ |
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/* */ |
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/* angle Angle value of arc sin of x */ |
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/* */ |
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/* CALLS */ |
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/* */ |
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/* None */ |
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/* */ |
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/* CALLED BY */ |
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/* */ |
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/* Application 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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/* */ |
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/**************************************************************************/ |
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INT _gx_utility_math_asin(GX_FIXED_VAL x) |
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{ |
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INT angle = 0; |
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x = GX_FIXED_VAL_TO_INT(x << 8); |
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✓✓ |
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if (x == 256) |
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{ |
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angle = 90; |
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} |
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✓✓✓✓
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else if ((x < 256) && (x >= 0)) |
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{ |
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angle = asin_angle_value_table[x]; |
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} |
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✓✓✓✓
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else if ((x > -256) && (x < 0)) |
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{ |
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angle = 0 - asin_angle_value_table[x * -1]; |
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} |
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✓✓ |
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else if (x == -256) |
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{ |
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angle = -90; |
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} |
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return angle; |
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} |
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