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include/linux/fixp-arith.h 4.41 KB
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  #ifndef _FIXP_ARITH_H
  #define _FIXP_ARITH_H
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  #include <linux/math64.h>
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  /*
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   * Simplistic fixed-point arithmetics.
   * Hmm, I'm probably duplicating some code :(
   *
   * Copyright (c) 2002 Johann Deneux
   */
  
  /*
   * This program is free software; you can redistribute it and/or modify
   * it under the terms of the GNU General Public License as published by
   * the Free Software Foundation; either version 2 of the License, or
   * (at your option) any later version.
   *
   * This program is distributed in the hope that it will be useful,
   * but WITHOUT ANY WARRANTY; without even the implied warranty of
   * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   * GNU General Public License for more details.
   *
   * You should have received a copy of the GNU General Public License
   * along with this program; if not, write to the Free Software
   * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
   *
   * Should you need to contact me, the author, you can do so by
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   * e-mail - mail your message to <johann.deneux@gmail.com>
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   */
  
  #include <linux/types.h>
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  static const s32 sin_table[] = {
  	0x00000000, 0x023be165, 0x04779632, 0x06b2f1d2, 0x08edc7b6, 0x0b27eb5c,
  	0x0d61304d, 0x0f996a26, 0x11d06c96, 0x14060b67, 0x163a1a7d, 0x186c6ddd,
  	0x1a9cd9ac, 0x1ccb3236, 0x1ef74bf2, 0x2120fb82, 0x234815ba, 0x256c6f9e,
  	0x278dde6e, 0x29ac379f, 0x2bc750e8, 0x2ddf003f, 0x2ff31bdd, 0x32037a44,
  	0x340ff241, 0x36185aee, 0x381c8bb5, 0x3a1c5c56, 0x3c17a4e7, 0x3e0e3ddb,
  	0x3fffffff, 0x41ecc483, 0x43d464fa, 0x45b6bb5d, 0x4793a20f, 0x496af3e1,
  	0x4b3c8c11, 0x4d084650, 0x4ecdfec6, 0x508d9210, 0x5246dd48, 0x53f9be04,
  	0x55a6125a, 0x574bb8e5, 0x58ea90c2, 0x5a827999, 0x5c135399, 0x5d9cff82,
  	0x5f1f5ea0, 0x609a52d1, 0x620dbe8a, 0x637984d3, 0x64dd894f, 0x6639b039,
  	0x678dde6d, 0x68d9f963, 0x6a1de735, 0x6b598ea1, 0x6c8cd70a, 0x6db7a879,
  	0x6ed9eba0, 0x6ff389de, 0x71046d3c, 0x720c8074, 0x730baeec, 0x7401e4bf,
  	0x74ef0ebb, 0x75d31a5f, 0x76adf5e5, 0x777f903b, 0x7847d908, 0x7906c0af,
  	0x79bc384c, 0x7a6831b8, 0x7b0a9f8c, 0x7ba3751c, 0x7c32a67c, 0x7cb82884,
  	0x7d33f0c8, 0x7da5f5a3, 0x7e0e2e31, 0x7e6c924f, 0x7ec11aa3, 0x7f0bc095,
  	0x7f4c7e52, 0x7f834ecf, 0x7fb02dc4, 0x7fd317b3, 0x7fec09e1, 0x7ffb025e,
  	0x7fffffff
  };
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  /**
   * __fixp_sin32() returns the sin of an angle in degrees
   *
   * @degrees: angle, in degrees, from 0 to 360.
   *
   * The returned value ranges from -0x7fffffff to +0x7fffffff.
   */
  static inline s32 __fixp_sin32(int degrees)
  {
  	s32 ret;
  	bool negative = false;
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  	if (degrees > 180) {
  		negative = true;
  		degrees -= 180;
  	}
  	if (degrees > 90)
  		degrees = 180 - degrees;
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  	ret = sin_table[degrees];
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  	return negative ? -ret : ret;
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  }
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  /**
   * fixp_sin32() returns the sin of an angle in degrees
   *
   * @degrees: angle, in degrees. The angle can be positive or negative
   *
   * The returned value ranges from -0x7fffffff to +0x7fffffff.
   */
  static inline s32 fixp_sin32(int degrees)
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  {
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  	degrees = (degrees % 360 + 360) % 360;
  
  	return __fixp_sin32(degrees);
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  }
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  /* cos(x) = sin(x + 90 degrees) */
  #define fixp_cos32(v) fixp_sin32((v) + 90)
  
  /*
   * 16 bits variants
   *
   * The returned value ranges from -0x7fff to 0x7fff
   */
  
  #define fixp_sin16(v) (fixp_sin32(v) >> 16)
  #define fixp_cos16(v) (fixp_cos32(v) >> 16)
  
  /**
   * fixp_sin32_rad() - calculates the sin of an angle in radians
   *
   * @radians: angle, in radians
   * @twopi: value to be used for 2*pi
   *
   * Provides a variant for the cases where just 360
   * values is not enough. This function uses linear
   * interpolation to a wider range of values given by
   * twopi var.
   *
   * Experimental tests gave a maximum difference of
   * 0.000038 between the value calculated by sin() and
   * the one produced by this function, when twopi is
   * equal to 360000. That seems to be enough precision
   * for practical purposes.
   *
   * Please notice that two high numbers for twopi could cause
   * overflows, so the routine will not allow values of twopi
   * bigger than 1^18.
   */
  static inline s32 fixp_sin32_rad(u32 radians, u32 twopi)
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  {
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  	int degrees;
  	s32 v1, v2, dx, dy;
  	s64 tmp;
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  	/*
  	 * Avoid too large values for twopi, as we don't want overflows.
  	 */
  	BUG_ON(twopi > 1 << 18);
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  	degrees = (radians * 360) / twopi;
  	tmp = radians - (degrees * twopi) / 360;
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  	degrees = (degrees % 360 + 360) % 360;
  	v1 = __fixp_sin32(degrees);
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  	v2 = fixp_sin32(degrees + 1);
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  	dx = twopi / 360;
  	dy = v2 - v1;
  
  	tmp *= dy;
  
  	return v1 +  div_s64(tmp, dx);
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  }
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  /* cos(x) = sin(x + pi/2 radians) */
  
  #define fixp_cos32_rad(rad, twopi)	\
  	fixp_sin32_rad(rad + twopi / 4, twopi)
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  #endif