mirror of
https://github.com/qmk/qmk_firmware.git
synced 2024-11-23 03:42:59 +00:00
c98247e3dd
* RGB Matrix overhaul Breakout of animations to separate files Integration of optimized int based math lib Overhaul of rgb_matrix.c and animations for performance * Updating effect function api for future extensions * Combined the keypresses || keyreleases define checks into a single define so I stop forgetting it where necessary * Moving define RGB_MATRIX_KEYREACTIVE_ENABLED earlier in the include chain
553 lines
15 KiB
C
553 lines
15 KiB
C
#ifndef __INC_LIB8TION_MATH_H
|
|
#define __INC_LIB8TION_MATH_H
|
|
|
|
#include "scale8.h"
|
|
|
|
///@ingroup lib8tion
|
|
|
|
///@defgroup Math Basic math operations
|
|
/// Fast, efficient 8-bit math functions specifically
|
|
/// designed for high-performance LED programming.
|
|
///
|
|
/// Because of the AVR(Arduino) and ARM assembly language
|
|
/// implementations provided, using these functions often
|
|
/// results in smaller and faster code than the equivalent
|
|
/// program using plain "C" arithmetic and logic.
|
|
///@{
|
|
|
|
|
|
/// add one byte to another, saturating at 0xFF
|
|
/// @param i - first byte to add
|
|
/// @param j - second byte to add
|
|
/// @returns the sum of i & j, capped at 0xFF
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t qadd8( uint8_t i, uint8_t j)
|
|
{
|
|
#if QADD8_C == 1
|
|
uint16_t t = i + j;
|
|
if (t > 255) t = 255;
|
|
return t;
|
|
#elif QADD8_AVRASM == 1
|
|
asm volatile(
|
|
/* First, add j to i, conditioning the C flag */
|
|
"add %0, %1 \n\t"
|
|
|
|
/* Now test the C flag.
|
|
If C is clear, we branch around a load of 0xFF into i.
|
|
If C is set, we go ahead and load 0xFF into i.
|
|
*/
|
|
"brcc L_%= \n\t"
|
|
"ldi %0, 0xFF \n\t"
|
|
"L_%=: "
|
|
: "+a" (i)
|
|
: "a" (j) );
|
|
return i;
|
|
#elif QADD8_ARM_DSP_ASM == 1
|
|
asm volatile( "uqadd8 %0, %0, %1" : "+r" (i) : "r" (j));
|
|
return i;
|
|
#else
|
|
#error "No implementation for qadd8 available."
|
|
#endif
|
|
}
|
|
|
|
/// Add one byte to another, saturating at 0x7F
|
|
/// @param i - first byte to add
|
|
/// @param j - second byte to add
|
|
/// @returns the sum of i & j, capped at 0xFF
|
|
LIB8STATIC_ALWAYS_INLINE int8_t qadd7( int8_t i, int8_t j)
|
|
{
|
|
#if QADD7_C == 1
|
|
int16_t t = i + j;
|
|
if (t > 127) t = 127;
|
|
return t;
|
|
#elif QADD7_AVRASM == 1
|
|
asm volatile(
|
|
/* First, add j to i, conditioning the V flag */
|
|
"add %0, %1 \n\t"
|
|
|
|
/* Now test the V flag.
|
|
If V is clear, we branch around a load of 0x7F into i.
|
|
If V is set, we go ahead and load 0x7F into i.
|
|
*/
|
|
"brvc L_%= \n\t"
|
|
"ldi %0, 0x7F \n\t"
|
|
"L_%=: "
|
|
: "+a" (i)
|
|
: "a" (j) );
|
|
|
|
return i;
|
|
#elif QADD7_ARM_DSP_ASM == 1
|
|
asm volatile( "qadd8 %0, %0, %1" : "+r" (i) : "r" (j));
|
|
return i;
|
|
#else
|
|
#error "No implementation for qadd7 available."
|
|
#endif
|
|
}
|
|
|
|
/// subtract one byte from another, saturating at 0x00
|
|
/// @returns i - j with a floor of 0
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t qsub8( uint8_t i, uint8_t j)
|
|
{
|
|
#if QSUB8_C == 1
|
|
int16_t t = i - j;
|
|
if (t < 0) t = 0;
|
|
return t;
|
|
#elif QSUB8_AVRASM == 1
|
|
|
|
asm volatile(
|
|
/* First, subtract j from i, conditioning the C flag */
|
|
"sub %0, %1 \n\t"
|
|
|
|
/* Now test the C flag.
|
|
If C is clear, we branch around a load of 0x00 into i.
|
|
If C is set, we go ahead and load 0x00 into i.
|
|
*/
|
|
"brcc L_%= \n\t"
|
|
"ldi %0, 0x00 \n\t"
|
|
"L_%=: "
|
|
: "+a" (i)
|
|
: "a" (j) );
|
|
|
|
return i;
|
|
#else
|
|
#error "No implementation for qsub8 available."
|
|
#endif
|
|
}
|
|
|
|
/// add one byte to another, with one byte result
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t add8( uint8_t i, uint8_t j)
|
|
{
|
|
#if ADD8_C == 1
|
|
uint16_t t = i + j;
|
|
return t;
|
|
#elif ADD8_AVRASM == 1
|
|
// Add j to i, period.
|
|
asm volatile( "add %0, %1" : "+a" (i) : "a" (j));
|
|
return i;
|
|
#else
|
|
#error "No implementation for add8 available."
|
|
#endif
|
|
}
|
|
|
|
/// add one byte to another, with one byte result
|
|
LIB8STATIC_ALWAYS_INLINE uint16_t add8to16( uint8_t i, uint16_t j)
|
|
{
|
|
#if ADD8_C == 1
|
|
uint16_t t = i + j;
|
|
return t;
|
|
#elif ADD8_AVRASM == 1
|
|
// Add i(one byte) to j(two bytes)
|
|
asm volatile( "add %A[j], %[i] \n\t"
|
|
"adc %B[j], __zero_reg__ \n\t"
|
|
: [j] "+a" (j)
|
|
: [i] "a" (i)
|
|
);
|
|
return i;
|
|
#else
|
|
#error "No implementation for add8to16 available."
|
|
#endif
|
|
}
|
|
|
|
|
|
/// subtract one byte from another, 8-bit result
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t sub8( uint8_t i, uint8_t j)
|
|
{
|
|
#if SUB8_C == 1
|
|
int16_t t = i - j;
|
|
return t;
|
|
#elif SUB8_AVRASM == 1
|
|
// Subtract j from i, period.
|
|
asm volatile( "sub %0, %1" : "+a" (i) : "a" (j));
|
|
return i;
|
|
#else
|
|
#error "No implementation for sub8 available."
|
|
#endif
|
|
}
|
|
|
|
/// Calculate an integer average of two unsigned
|
|
/// 8-bit integer values (uint8_t).
|
|
/// Fractional results are rounded down, e.g. avg8(20,41) = 30
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t avg8( uint8_t i, uint8_t j)
|
|
{
|
|
#if AVG8_C == 1
|
|
return (i + j) >> 1;
|
|
#elif AVG8_AVRASM == 1
|
|
asm volatile(
|
|
/* First, add j to i, 9th bit overflows into C flag */
|
|
"add %0, %1 \n\t"
|
|
/* Divide by two, moving C flag into high 8th bit */
|
|
"ror %0 \n\t"
|
|
: "+a" (i)
|
|
: "a" (j) );
|
|
return i;
|
|
#else
|
|
#error "No implementation for avg8 available."
|
|
#endif
|
|
}
|
|
|
|
/// Calculate an integer average of two unsigned
|
|
/// 16-bit integer values (uint16_t).
|
|
/// Fractional results are rounded down, e.g. avg16(20,41) = 30
|
|
LIB8STATIC_ALWAYS_INLINE uint16_t avg16( uint16_t i, uint16_t j)
|
|
{
|
|
#if AVG16_C == 1
|
|
return (uint32_t)((uint32_t)(i) + (uint32_t)(j)) >> 1;
|
|
#elif AVG16_AVRASM == 1
|
|
asm volatile(
|
|
/* First, add jLo (heh) to iLo, 9th bit overflows into C flag */
|
|
"add %A[i], %A[j] \n\t"
|
|
/* Now, add C + jHi to iHi, 17th bit overflows into C flag */
|
|
"adc %B[i], %B[j] \n\t"
|
|
/* Divide iHi by two, moving C flag into high 16th bit, old 9th bit now in C */
|
|
"ror %B[i] \n\t"
|
|
/* Divide iLo by two, moving C flag into high 8th bit */
|
|
"ror %A[i] \n\t"
|
|
: [i] "+a" (i)
|
|
: [j] "a" (j) );
|
|
return i;
|
|
#else
|
|
#error "No implementation for avg16 available."
|
|
#endif
|
|
}
|
|
|
|
|
|
/// Calculate an integer average of two signed 7-bit
|
|
/// integers (int8_t)
|
|
/// If the first argument is even, result is rounded down.
|
|
/// If the first argument is odd, result is result up.
|
|
LIB8STATIC_ALWAYS_INLINE int8_t avg7( int8_t i, int8_t j)
|
|
{
|
|
#if AVG7_C == 1
|
|
return ((i + j) >> 1) + (i & 0x1);
|
|
#elif AVG7_AVRASM == 1
|
|
asm volatile(
|
|
"asr %1 \n\t"
|
|
"asr %0 \n\t"
|
|
"adc %0, %1 \n\t"
|
|
: "+a" (i)
|
|
: "a" (j) );
|
|
return i;
|
|
#else
|
|
#error "No implementation for avg7 available."
|
|
#endif
|
|
}
|
|
|
|
/// Calculate an integer average of two signed 15-bit
|
|
/// integers (int16_t)
|
|
/// If the first argument is even, result is rounded down.
|
|
/// If the first argument is odd, result is result up.
|
|
LIB8STATIC_ALWAYS_INLINE int16_t avg15( int16_t i, int16_t j)
|
|
{
|
|
#if AVG15_C == 1
|
|
return ((int32_t)((int32_t)(i) + (int32_t)(j)) >> 1) + (i & 0x1);
|
|
#elif AVG15_AVRASM == 1
|
|
asm volatile(
|
|
/* first divide j by 2, throwing away lowest bit */
|
|
"asr %B[j] \n\t"
|
|
"ror %A[j] \n\t"
|
|
/* now divide i by 2, with lowest bit going into C */
|
|
"asr %B[i] \n\t"
|
|
"ror %A[i] \n\t"
|
|
/* add j + C to i */
|
|
"adc %A[i], %A[j] \n\t"
|
|
"adc %B[i], %B[j] \n\t"
|
|
: [i] "+a" (i)
|
|
: [j] "a" (j) );
|
|
return i;
|
|
#else
|
|
#error "No implementation for avg15 available."
|
|
#endif
|
|
}
|
|
|
|
|
|
/// Calculate the remainder of one unsigned 8-bit
|
|
/// value divided by anoter, aka A % M.
|
|
/// Implemented by repeated subtraction, which is
|
|
/// very compact, and very fast if A is 'probably'
|
|
/// less than M. If A is a large multiple of M,
|
|
/// the loop has to execute multiple times. However,
|
|
/// even in that case, the loop is only two
|
|
/// instructions long on AVR, i.e., quick.
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t mod8( uint8_t a, uint8_t m)
|
|
{
|
|
#if defined(__AVR__)
|
|
asm volatile (
|
|
"L_%=: sub %[a],%[m] \n\t"
|
|
" brcc L_%= \n\t"
|
|
" add %[a],%[m] \n\t"
|
|
: [a] "+r" (a)
|
|
: [m] "r" (m)
|
|
);
|
|
#else
|
|
while( a >= m) a -= m;
|
|
#endif
|
|
return a;
|
|
}
|
|
|
|
/// Add two numbers, and calculate the modulo
|
|
/// of the sum and a third number, M.
|
|
/// In other words, it returns (A+B) % M.
|
|
/// It is designed as a compact mechanism for
|
|
/// incrementing a 'mode' switch and wrapping
|
|
/// around back to 'mode 0' when the switch
|
|
/// goes past the end of the available range.
|
|
/// e.g. if you have seven modes, this switches
|
|
/// to the next one and wraps around if needed:
|
|
/// mode = addmod8( mode, 1, 7);
|
|
///LIB8STATIC_ALWAYS_INLINESee 'mod8' for notes on performance.
|
|
LIB8STATIC uint8_t addmod8( uint8_t a, uint8_t b, uint8_t m)
|
|
{
|
|
#if defined(__AVR__)
|
|
asm volatile (
|
|
" add %[a],%[b] \n\t"
|
|
"L_%=: sub %[a],%[m] \n\t"
|
|
" brcc L_%= \n\t"
|
|
" add %[a],%[m] \n\t"
|
|
: [a] "+r" (a)
|
|
: [b] "r" (b), [m] "r" (m)
|
|
);
|
|
#else
|
|
a += b;
|
|
while( a >= m) a -= m;
|
|
#endif
|
|
return a;
|
|
}
|
|
|
|
/// Subtract two numbers, and calculate the modulo
|
|
/// of the difference and a third number, M.
|
|
/// In other words, it returns (A-B) % M.
|
|
/// It is designed as a compact mechanism for
|
|
/// incrementing a 'mode' switch and wrapping
|
|
/// around back to 'mode 0' when the switch
|
|
/// goes past the end of the available range.
|
|
/// e.g. if you have seven modes, this switches
|
|
/// to the next one and wraps around if needed:
|
|
/// mode = addmod8( mode, 1, 7);
|
|
///LIB8STATIC_ALWAYS_INLINESee 'mod8' for notes on performance.
|
|
LIB8STATIC uint8_t submod8( uint8_t a, uint8_t b, uint8_t m)
|
|
{
|
|
#if defined(__AVR__)
|
|
asm volatile (
|
|
" sub %[a],%[b] \n\t"
|
|
"L_%=: sub %[a],%[m] \n\t"
|
|
" brcc L_%= \n\t"
|
|
" add %[a],%[m] \n\t"
|
|
: [a] "+r" (a)
|
|
: [b] "r" (b), [m] "r" (m)
|
|
);
|
|
#else
|
|
a -= b;
|
|
while( a >= m) a -= m;
|
|
#endif
|
|
return a;
|
|
}
|
|
|
|
/// 8x8 bit multiplication, with 8 bit result
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t mul8( uint8_t i, uint8_t j)
|
|
{
|
|
#if MUL8_C == 1
|
|
return ((uint16_t)i * (uint16_t)(j) ) & 0xFF;
|
|
#elif MUL8_AVRASM == 1
|
|
asm volatile(
|
|
/* Multiply 8-bit i * 8-bit j, giving 16-bit r1,r0 */
|
|
"mul %0, %1 \n\t"
|
|
/* Extract the LOW 8-bits (r0) */
|
|
"mov %0, r0 \n\t"
|
|
/* Restore r1 to "0"; it's expected to always be that */
|
|
"clr __zero_reg__ \n\t"
|
|
: "+a" (i)
|
|
: "a" (j)
|
|
: "r0", "r1");
|
|
|
|
return i;
|
|
#else
|
|
#error "No implementation for mul8 available."
|
|
#endif
|
|
}
|
|
|
|
|
|
/// saturating 8x8 bit multiplication, with 8 bit result
|
|
/// @returns the product of i * j, capping at 0xFF
|
|
LIB8STATIC_ALWAYS_INLINE uint8_t qmul8( uint8_t i, uint8_t j)
|
|
{
|
|
#if QMUL8_C == 1
|
|
int p = ((uint16_t)i * (uint16_t)(j) );
|
|
if( p > 255) p = 255;
|
|
return p;
|
|
#elif QMUL8_AVRASM == 1
|
|
asm volatile(
|
|
/* Multiply 8-bit i * 8-bit j, giving 16-bit r1,r0 */
|
|
" mul %0, %1 \n\t"
|
|
/* If high byte of result is zero, all is well. */
|
|
" tst r1 \n\t"
|
|
" breq Lnospill_%= \n\t"
|
|
/* If high byte of result > 0, saturate low byte to 0xFF */
|
|
" ldi %0,0xFF \n\t"
|
|
" rjmp Ldone_%= \n\t"
|
|
"Lnospill_%=: \n\t"
|
|
/* Extract the LOW 8-bits (r0) */
|
|
" mov %0, r0 \n\t"
|
|
"Ldone_%=: \n\t"
|
|
/* Restore r1 to "0"; it's expected to always be that */
|
|
" clr __zero_reg__ \n\t"
|
|
: "+a" (i)
|
|
: "a" (j)
|
|
: "r0", "r1");
|
|
|
|
return i;
|
|
#else
|
|
#error "No implementation for qmul8 available."
|
|
#endif
|
|
}
|
|
|
|
|
|
/// take abs() of a signed 8-bit uint8_t
|
|
LIB8STATIC_ALWAYS_INLINE int8_t abs8( int8_t i)
|
|
{
|
|
#if ABS8_C == 1
|
|
if( i < 0) i = -i;
|
|
return i;
|
|
#elif ABS8_AVRASM == 1
|
|
|
|
|
|
asm volatile(
|
|
/* First, check the high bit, and prepare to skip if it's clear */
|
|
"sbrc %0, 7 \n"
|
|
|
|
/* Negate the value */
|
|
"neg %0 \n"
|
|
|
|
: "+r" (i) : "r" (i) );
|
|
return i;
|
|
#else
|
|
#error "No implementation for abs8 available."
|
|
#endif
|
|
}
|
|
|
|
/// square root for 16-bit integers
|
|
/// About three times faster and five times smaller
|
|
/// than Arduino's general sqrt on AVR.
|
|
LIB8STATIC uint8_t sqrt16(uint16_t x)
|
|
{
|
|
if( x <= 1) {
|
|
return x;
|
|
}
|
|
|
|
uint8_t low = 1; // lower bound
|
|
uint8_t hi, mid;
|
|
|
|
if( x > 7904) {
|
|
hi = 255;
|
|
} else {
|
|
hi = (x >> 5) + 8; // initial estimate for upper bound
|
|
}
|
|
|
|
do {
|
|
mid = (low + hi) >> 1;
|
|
if ((uint16_t)(mid * mid) > x) {
|
|
hi = mid - 1;
|
|
} else {
|
|
if( mid == 255) {
|
|
return 255;
|
|
}
|
|
low = mid + 1;
|
|
}
|
|
} while (hi >= low);
|
|
|
|
return low - 1;
|
|
}
|
|
|
|
/// blend a variable proproportion(0-255) of one byte to another
|
|
/// @param a - the starting byte value
|
|
/// @param b - the byte value to blend toward
|
|
/// @param amountOfB - the proportion (0-255) of b to blend
|
|
/// @returns a byte value between a and b, inclusive
|
|
#if (FASTLED_BLEND_FIXED == 1)
|
|
LIB8STATIC uint8_t blend8( uint8_t a, uint8_t b, uint8_t amountOfB)
|
|
{
|
|
#if BLEND8_C == 1
|
|
uint16_t partial;
|
|
uint8_t result;
|
|
|
|
uint8_t amountOfA = 255 - amountOfB;
|
|
|
|
partial = (a * amountOfA);
|
|
#if (FASTLED_SCALE8_FIXED == 1)
|
|
partial += a;
|
|
//partial = add8to16( a, partial);
|
|
#endif
|
|
|
|
partial += (b * amountOfB);
|
|
#if (FASTLED_SCALE8_FIXED == 1)
|
|
partial += b;
|
|
//partial = add8to16( b, partial);
|
|
#endif
|
|
|
|
result = partial >> 8;
|
|
|
|
return result;
|
|
|
|
#elif BLEND8_AVRASM == 1
|
|
uint16_t partial;
|
|
uint8_t result;
|
|
|
|
asm volatile (
|
|
/* partial = b * amountOfB */
|
|
" mul %[b], %[amountOfB] \n\t"
|
|
" movw %A[partial], r0 \n\t"
|
|
|
|
/* amountOfB (aka amountOfA) = 255 - amountOfB */
|
|
" com %[amountOfB] \n\t"
|
|
|
|
/* partial += a * amountOfB (aka amountOfA) */
|
|
" mul %[a], %[amountOfB] \n\t"
|
|
|
|
" add %A[partial], r0 \n\t"
|
|
" adc %B[partial], r1 \n\t"
|
|
|
|
" clr __zero_reg__ \n\t"
|
|
|
|
#if (FASTLED_SCALE8_FIXED == 1)
|
|
/* partial += a */
|
|
" add %A[partial], %[a] \n\t"
|
|
" adc %B[partial], __zero_reg__ \n\t"
|
|
|
|
// partial += b
|
|
" add %A[partial], %[b] \n\t"
|
|
" adc %B[partial], __zero_reg__ \n\t"
|
|
#endif
|
|
|
|
: [partial] "=r" (partial),
|
|
[amountOfB] "+a" (amountOfB)
|
|
: [a] "a" (a),
|
|
[b] "a" (b)
|
|
: "r0", "r1"
|
|
);
|
|
|
|
result = partial >> 8;
|
|
|
|
return result;
|
|
|
|
#else
|
|
#error "No implementation for blend8 available."
|
|
#endif
|
|
}
|
|
|
|
#else
|
|
LIB8STATIC uint8_t blend8( uint8_t a, uint8_t b, uint8_t amountOfB)
|
|
{
|
|
// This version loses precision in the integer math
|
|
// and can actually return results outside of the range
|
|
// from a to b. Its use is not recommended.
|
|
uint8_t result;
|
|
uint8_t amountOfA = 255 - amountOfB;
|
|
result = scale8_LEAVING_R1_DIRTY( a, amountOfA)
|
|
+ scale8_LEAVING_R1_DIRTY( b, amountOfB);
|
|
cleanup_R1();
|
|
return result;
|
|
}
|
|
#endif
|
|
|
|
|
|
///@}
|
|
#endif
|