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mult16x16.h
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/*
Norbert Pozar 2009
http://mekonik.wordpress.com/2009/03/18/arduino-avr-gcc-multiplication/
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.*/
// longRes = intIn1 * intIn2
#define MultiU16X16to32(longRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"movw %A0, r0 \n\t" \
"mul %B1, %B2 \n\t" \
"movw %C0, r0 \n\t" \
"mul %B2, %A1 \n\t" \
"add %B0, r0 \n\t" \
"adc %C0, r1 \n\t" \
"adc %D0, r26 \n\t" \
"mul %B1, %A2 \n\t" \
"add %B0, r0 \n\t" \
"adc %C0, r1 \n\t" \
"adc %D0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (longRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26" \
)
// intRes = intIn1 * intIn2 >> 16
// uses:
// r26 to store 0
// r27 to store the uint8_t 1 of the 32bit result
#define MultiU16X16toH16(intRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"mov r27, r1 \n\t" \
"mul %B1, %B2 \n\t" \
"movw %A0, r0 \n\t" \
"mul %B2, %A1 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"mul %B1, %A2 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (intRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26" , "r27" \
)
// intRes = intIn1 * intIn2 >> 16 + round
// uses:
// r26 to store 0
// r27 to store the uint8_t 1 of the 32bit result
// 21 cycles
#define MultiU16X16toH16Round(intRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"mov r27, r1 \n\t" \
"mul %B1, %B2 \n\t" \
"movw %A0, r0 \n\t" \
"mul %B2, %A1 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"mul %B1, %A2 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"lsl r27 \n\t" \
"adc %A0, r26 \n\t" \
"adc %B0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (intRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26" , "r27" \
)
// signed16 * signed16
// 22 cycles
#define MultiS16X16to32(longRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"movw %A0, r0 \n\t" \
"muls %B1, %B2 \n\t" \
"movw %C0, r0 \n\t" \
"mulsu %B2, %A1 \n\t" \
"sbc %D0, r26 \n\t" \
"add %B0, r0 \n\t" \
"adc %C0, r1 \n\t" \
"adc %D0, r26 \n\t" \
"mulsu %B1, %A2 \n\t" \
"sbc %D0, r26 \n\t" \
"add %B0, r0 \n\t" \
"adc %C0, r1 \n\t" \
"adc %D0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (longRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26" \
)
// signed16 * signed 16 >> 16
#define MultiS16X16toH16(intRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"mov r27, r1 \n\t" \
"muls %B1, %B2 \n\t" \
"movw %A0, r0 \n\t" \
"mulsu %B2, %A1 \n\t" \
"sbc %B0, r26 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"mulsu %B1, %A2 \n\t" \
"sbc %B0, r26 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (intRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26", "r27" \
)
// multiplies a signed and unsigned 16 bit ints with a 32 bit result
#define MultiSU16X16to32(longRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"movw %A0, r0 \n\t" \
"mulsu %B1, %B2 \n\t" \
"movw %C0, r0 \n\t" \
"mul %B2, %A1 \n\t" \
"add %B0, r0 \n\t" \
"adc %C0, r1 \n\t" \
"adc %D0, r26 \n\t" \
"mulsu %B1, %A2 \n\t" \
"sbc %D0, r26 \n\t" \
"add %B0, r0 \n\t" \
"adc %C0, r1 \n\t" \
"adc %D0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (longRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26" \
)
// multiplies signed x unsigned int and returns the highest 16 bits of the result
#define MultiSU16X16toH16(intRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"mov r27, r1 \n\t" \
"mulsu %B1, %B2 \n\t" \
"movw %A0, r0 \n\t" \
"mul %B2, %A1 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"mulsu %B1, %A2 \n\t" \
"sbc %B0, r26 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (intRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26", "r27" \
)
// multiplies signed x unsigned int and returns the highest 16 bits of the result
// rounds the result based on the MSB of the lower 16 bits
// 22 cycles
#define MultiSU16X16toH16Round(intRes, intIn1, intIn2) \
asm volatile ( \
"clr r26 \n\t" \
"mul %A1, %A2 \n\t" \
"mov r27, r1 \n\t" \
"mulsu %B1, %B2 \n\t" \
"movw %A0, r0 \n\t" \
"mul %A1, %B2 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"mulsu %B1, %A2 \n\t" \
"sbc %B0, r26 \n\t" \
"add r27, r0 \n\t" \
"adc %A0, r1 \n\t" \
"adc %B0, r26 \n\t" \
"lsl r27 \n\t" \
"adc %A0, r26 \n\t" \
"adc %B0, r26 \n\t" \
"clr r1 \n\t" \
: \
"=&r" (intRes) \
: \
"a" (intIn1), \
"a" (intIn2) \
: \
"r26", "r27" \
)