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Diffstat (limited to 'wirish/include/wirish/wirish_math.h')
-rw-r--r-- | wirish/include/wirish/wirish_math.h | 151 |
1 files changed, 151 insertions, 0 deletions
diff --git a/wirish/include/wirish/wirish_math.h b/wirish/include/wirish/wirish_math.h new file mode 100644 index 0000000..3820cab --- /dev/null +++ b/wirish/include/wirish/wirish_math.h @@ -0,0 +1,151 @@ +/****************************************************************************** + * The MIT License + * + * Copyright (c) 2010 Perry Hung. + * + * Permission is hereby granted, free of charge, to any person + * obtaining a copy of this software and associated documentation + * files (the "Software"), to deal in the Software without + * restriction, including without limitation the rights to use, copy, + * modify, merge, publish, distribute, sublicense, and/or sell copies + * of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be + * included in all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, + * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF + * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND + * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS + * BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN + * ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN + * CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + *****************************************************************************/ + +/** + * @file wirish_math.h + * @brief Includes <math.h>; provides Arduino-compatible math routines. + */ + +#ifndef _WIRISH_WIRISH_MATH_H_ +#define _WIRISH_WIRISH_MATH_H_ + +#include <math.h> + +/** + * @brief Initialize the pseudo-random number generator. + * @param seed the number used to initialize the seed; cannot be zero. + */ +void randomSeed(unsigned int seed); + +/** + * @brief Generate a pseudo-random number with upper bound. + * @param max An upper bound on the returned value, exclusive. + * @return A pseudo-random number in the range [0,max). + * @see randomSeed() + */ +long random(long max); + +/** + * @brief Generate a pseudo-random number with lower and upper bounds. + * @param min Lower bound on the returned value, inclusive. + * @param max Upper bound on the returned value, exclusive. + * @return A pseudo-random number in the range [min, max). + * @see randomSeed() + */ +long random(long min, long max); + +/** + * @brief Remap a number from one range to another. + * + * That is, a value equal to fromStart gets mapped to toStart, a value + * of fromEnd to toEnd, and other values are mapped proportionately. + * + * Does not constrain value to lie within [fromStart, fromEnd]. + * + * If a "start" value is larger than its corresponding "end", the + * ranges are reversed, so map(n, 1, 10, 10, 1) would reverse the + * range [1,10]. + * + * Negative numbers may appear as any argument. + * + * @param value the value to map. + * @param fromStart the beginning of the value's current range. + * @param fromEnd the end of the value's current range. + * @param toStart the beginning of the value's mapped range. + * @param toEnd the end of the value's mapped range. + * @return the mapped value. + */ +static inline long map(long value, long fromStart, long fromEnd, + long toStart, long toEnd) { + return (value - fromStart) * (toEnd - toStart) / (fromEnd - fromStart) + + toStart; +} + +#define PI 3.1415926535897932384626433832795 +#define HALF_PI 1.5707963267948966192313216916398 +#define TWO_PI 6.283185307179586476925286766559 +#define DEG_TO_RAD 0.017453292519943295769236907684886 +#define RAD_TO_DEG 57.295779513082320876798154814105 + +#define min(a,b) ((a)<(b)?(a):(b)) +#define max(a,b) ((a)>(b)?(a):(b)) +#define constrain(amt,low,high) ((amt)<(low)?(low):((amt)>(high)?(high):(amt))) +#define round(x) ((x)>=0?(long)((x)+0.5):(long)((x)-0.5)) +#define radians(deg) ((deg)*DEG_TO_RAD) +#define degrees(rad) ((rad)*RAD_TO_DEG) +#define sq(x) ((x)*(x)) + +/* undefine stdlib's abs if encountered */ +#ifdef abs +#undef abs +#endif +#define abs(x) (((x) > 0) ? (x) : -(x)) + +/* Following are duplicate declarations (with Doxygen comments) for + * some of the math.h functions; this is for the convenience of the + * Sphinx docs. + */ + +/** + * Compute the cosine of an angle, in radians. + * @param x The radian measure of the angle. + * @return The cosine of x. This value will be between -1 and 1. + */ +double cos(double x); + +/** + * Compute the sine of an angle, in radians. + * @param x The radian measure of the angle. + * @return The sine of x. This value will be between -1 and 1. + */ +double sin(double x); + +/** + * Compute the tangent of an angle, in radians. + * @param x The radian measure of the angle. + * @return The tangent of x. There are no limits on the return value + * of this function. + */ +double tan(double x); + +/** + * Compute the square root of a number. + * @param x The number whose square root to find. This value cannot + * be negative. + * @return The square root of x. The return value is never negative. + */ +double sqrt(double x); + +/** + * Compute an exponentiation. + * @param x the base. This value cannot be zero if y <= 0. This value + * cannot be negative if y is not an integral value. + * @param y the exponent. + * @return x raised to the power y. + */ +double pow(double x, double y); + +#endif |