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DSPIC30F0010AT-20E/PF 数据表(PDF) 20 Page - Microchip Technology |
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DSPIC30F0010AT-20E/PF 数据表(HTML) 20 Page - Microchip Technology |
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20 / 236 page ![]() dsPIC30F6010A/6015 DS70150C-page 18 © 2007 Microchip Technology Inc. 2.4.1 MULTIPLIER The 17x17-bit multiplier is capable of signed or unsigned operations and can multiplex its output using a scaler to support either 1.31 fractional (Q31) or 32-bit integer results. Unsigned operands are zero-extended into the 17th bit of the multiplier input value. Signed operands are sign-extended into the 17th bit of the mul- tiplier input value. The output of the 17x17-bit multiplier/ scaler is a 33-bit value, which is sign-extended to 40 bits. Integer data is inherently represented as a signed two’s complement value, where the MSB is defined as a sign bit. Generally speaking, the range of an N-bit two’s complement integer is -2N-1 to 2N-1 – 1. For a 16-bit integer, the data range is -32768 (0x8000) to 32767 (0x7FFF), including 0. For a 32-bit integer, the data range is -2,147,483,648 (0x8000 0000) to 2,147,483,645 (0x7FFF FFFF). When the multiplier is configured for fractional multipli- cation, the data is represented as a two’s complement fraction, where the MSB is defined as a sign bit and the radix point is implied to lie just after the sign bit (QX format). The range of an N-bit two’s complement fraction with this implied radix point is -1.0 to (1-21-N). For a 16-bit fraction, the Q15 data range is -1.0 (0x8000) to 0.999969482 (0x7FFF), including 0 and has a precision of 3.01518x10-5. In Fractional mode, a 16x16 multiply operation generates a 1.31 product, which has a precision of 4.65661x10-10. The same multiplier is used to support the MCU multi- ply instructions, which include integer 16-bit signed, unsigned and mixed sign multiplies. The MUL instruction may be directed to use byte or word-sized operands. Byte operands will direct a 16-bit result, and word operands will direct a 32-bit result to the specified register(s) in the W array. 2.4.2 DATA ACCUMULATORS AND ADDER/SUBTRACTOR The data accumulator consists of a 40-bit adder/sub- tractor with automatic sign extension logic. It can select one of two accumulators (A or B) as its pre- accumulation source and post-accumulation destina- tion. For the ADD and LAC instructions, the data to be accumulated or loaded can be optionally scaled via the barrel shifter, prior to accumulation. 2.4.2.1 Adder/Subtractor, Overflow and Saturation The adder/subtractor is a 40-bit adder with an optional zero input into one side and either true or complement data into the other input. In the case of addition, the carry/borrow input is active-high and the other input is true data (not complemented), whereas in the case of subtraction, the carry/borrow input is active-low and the other input is complemented. The adder/subtractor generates Overflow Status bits, SA/SB and OA/OB, which are latched and reflected in the STATUS register. • Overflow from bit 39: this is a catastrophic overflow in which the sign of the accumulator is destroyed. • Overflow into guard bits 32 through 39: this is a recoverable overflow. This bit is set whenever all the guard bits are not identical to each other. The adder has an additional saturation block which controls accumulator data saturation, if selected. It uses the result of the adder, the Overflow Status bits described above, and the SATA/B (CORCON<7:6>) and ACCSAT (CORCON<4>) mode control bits to determine when and to what value to saturate. Six STATUS register bits have been provided to support saturation and overflow. They are: 1. OA: AccA overflowed into guard bits 2. OB: AccB overflowed into guard bits 3. SA: AccA saturated (bit 31 overflow and saturation) or AccA overflowed into guard bits and saturated (bit 39 overflow and saturation) 4. SB: AccB saturated (bit 31 overflow and saturation) or AccB overflowed into guard bits and saturated (bit 39 overflow and saturation) 5. OAB: Logical OR of OA and OB 6. SAB: Logical OR of SA and SB The OA and OB bits are modified each time data passes through the adder/subtractor. When set, they indicate that the most recent operation has overflowed into the accumulator guard bits (bits 32 through 39). The OA and OB bits can also optionally generate an arithmetic warn- ing trap when set and the corresponding overflow trap flag enable bit (OVATE, OVBTE) in the INTCON1 regis- ter (refer to Section 5.0 “Interrupts”) is set. This allows the user to take immediate action, for example, to correct system gain. |
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