395 results about "Partial product" patented technology

A multiplier capable of performing signed and unsigned scalar and vector multiplication is disclosed. The multiplier is configured to receive signed or unsigned multiplier and multiplicand operands in scalar or packed vector form. An effective sign for the multiplier and multiplicand operands may be calculated and used to create and select a number of partial products according to Booth's algorithm. Once the partial products have been created and selected, they may be summed and the results may be output. The results may be signed or unsigned, and may represent vector or scalar quantities. When a vector multiplication is performed, the multiplier may be configured to generate and select partial products so as to effectively isolate the multiplication process for each pair of vector components. The multiplier may also be configured to sum the products of the vector components to form the vector dot product. The final product may be output in segments so as to require fewer bus lines. The segments may be rounded by adding a rounding constant. Rounding and normalization may be performed in two paths, one assuming an overflow will occur, the other assuming no overflow will occur. The multiplier may also be configured to perform iterative calculations to evaluate constant powers of an operand. Intermediate products that are formed may be rounded and normalized in two paths and then compressed and stored for use in the next iteration. An adjustment constant may also be added to increase the frequency of exactly rounded results.

A method of high-speed processing and monitoring of a product, such as a pharmaceutical powder or tablet, comprises: moving the product (C) past an inspection station; illuminating at least a portion of the product with light; spectrally filtering a first portion of light carrying information about the product, o.g., transmitted or reflected light, by passing said first portion through at least one multivariate optical element (148) and detecting said filtered light with a first detector (152), —detecting a deflected second portion of said light with a second detector (156); and determining at least one selected property of the product based on the detector outputs.

A multiplier configured to perform multiplication of both scalar floating point values (XxY) and packed floating point values (i.e., X1xY1 and X2xY2). In addition, the multiplier may be configured to calculate XxY-Z. The multiplier comprises selection logic for selecting source operands, a partial product generator, an adder tree, and two or more adders configured to sum the results from the adder tree to achieve a final result. The multiplier may also be configured to perform iterative multiplication operations to implement such arithmetical operations such as division and square root. The multiplier may be configured to generate two versions of the final result, one assuming there is an overflow, and another assuming there is not an overflow. A computer system and method for performing multiplication are also disclosed.

A multiplier capable of performing signed and unsigned scalar and vector multiplication is disclosed. The multiplier is configured to receive signed or unsigned multiplier and multiplicand operands in scalar or packed vector form. An effective sign for the multiplier and multiplicand operands may be calculated based upon each operand's most significant bit and a control signal. The effective signs may then be used to create and select a number of partial products according to Booth's algorithm. Once the partial products have been created and selected, they may be summed and the results may be output. The results may be signed or unsigned, and may represent vector or scalar quantities. When a vector multiplication is performed, the multiplier may be configured to generate and select partial products so as to effectively isolate the multiplication process for each pair of vector components. The multiplier may also be configured to sum the products of the vector components to form the vector dot product. The final product may be output in segments so as to require fewer bus lines. The segments may be rounded by adding a rounding constant. Rounding and normalization may be performed in two paths, one assuming an overflow will occur, the other assuming no overflow will occur.

The present invention is directed to a system and method for multiplication of matrices in a vector processing system. Partial products are obtained by dot multiplication of vector registers containing multiple copies of elements of a first matrix and vector registers containing values from rows of a second matrix. The dot products obtained from this dot multiplication are subsequently added to vector registers which make up a product matrix. In an embodiment of the present invention, each matrix may be divided into submatrices to facilitate the rapid and efficient multiplication of large matrices, which is done in parts by computing partial products of each submatrix. The matrix multiplication performed by the present invention avoids rounding errors as it is bit-by-bit compatible with conventional matrix multiplication methods.

A specialized processing block for a programmable logic device incorporates a fundamental processing unit that performs a sum of two multiplications, adding the partial products of both multiplications without computing the individual multiplications. Such fundamental processing units consume less area than conventional separate multipliers and adders. The specialized processing block further has input and output stages, as well as a loopback function, to allow the block to be configured for various digital signal processing operations.

In current manufacturing practices, if a process results in a partial product which is outside its specification, it is either sent back to be reworked, or is scrapped. This results in unacceptable waste. The present invention comprises a method for minimizing this wasted work and materials, by corrective actions by subsequent processes. This approach is general, and is capable of correcting the effects of out-of-specs manufacturing process conditions, including the salvaging of partial product, thereby obviating the need for rework or scrap.

The invention discloses a structured mixed bit-width multiplying method and a structured mixed bit-width multiplying device. The method includes the steps: 1) inputting a multiplier, a multiplicand and a computing control signal; 2) splitting the multiplier and the multiplicand and performing sign bit expansion for the multiplier and the multiplicand; 3) importing the multiplier and the multiplicand to two MXN multiplying units for Booth decoding and generating partial products, and compressing the partial products; 4) generating a corrected value; and 5) compressing a compressed output result and the corrected value to obtain a multiplying result. The device comprises an operand selection and expansion unit, the first MXN multiplying unit, the second MXN multiplying unit, a correcting unit and a final product arithmetic element, wherein the operand selection and expansion unit is connected with the final product arithmetic element through the MXN multiplying unit, the second MXN multiplying unit and the correcting unit. The structured mixed bit-width multiplying device has the advantages of high hardware use ratio and area use ratio, high arithmetic speed, low hardware expenditure, simple structure and orderliness in obtained territory.

In one aspect, a multiplier for performing multiplication of a first operand and a second operand is provided. The multiplier comprises a matrix having a plurality of matrix elements arranged in a plurality of columns, a first plurality of storage elements to store at least a portion of the first operand, the first plurality of storage elements connected diagonally to the matrix, and a second plurality of storage elements to store at least a portion of the second operand, the second plurality of storage elements connected vertically to the matrix. In another aspect, a multiplier for computing at least a partial product of a first operand having a first length and a second operand having a second length is provided. The multiplier comprises a first register to store at least a portion of the first operand, a second register to store at least a portion of the second operand, and a logic matrix formed from a plurality of matrix elements that together perform a multiplication operation, the logic matrix connected to the first register and the second register such that each matrix element receives at least one bit from the first register and at least one bit from the second register, wherein a number of the plurality of matrix elements does not exceed a product of the first length and the second length.

Implementing an unfused multiply-add instruction within a fused multiply-add pipeline. The system may include an aligner having an input for receiving an addition term, a multiplier tree having two inputs for receiving a first value and a second value for multiplication, and a first carry save adder (CSA), wherein the first CSA may receive partial products from the multiplier tree and an aligned addition term from the aligner. The system may include a fused/unfused multiply add (FUMA) block which may receive the first partial product, the second partial product, and the aligned addition term, wherein the first partial product and the second partial product are not truncated. The FUMA block may perform an unfused multiply add operation or a fused multiply add operation using the first partial product, the second partial product, and the aligned addition term, e.g., depending on an opcode or mode bit.

A specialized processing block for a programmable logic device incorporates a fundamental processing unit that performs a sum of two multiplications, adding the partial products of both multiplications without computing the individual multiplications. Such fundamental processing units consume less area than conventional separate multipliers and adders. The specialized processing block further has input and output stages, as well as a loopback function, to allow the block to be configured for various digital signal processing operations.

A multiplier capable of performing signed and unsigned scalar and vector multiplication is disclosed. The multiplier is configured to receive signed or unsigned multiplier and multiplicand operands in scalar or packed vector form. An effective sign for the multiplier and multiplicand operands may be calculated based upon each operand's most significant bit and a control signal. The effective signs may then be used to create and select a number of partial products according to Booth's algorithm. Once the partial products have been created and selected, they may be summed and the results may be output. The results may be signed or unsigned, and may represent vector or scalar quantities. When a vector multiplication is performed, the multiplier may be configured to generate and select partial products so as to effectively isolate the multiplication process for each pair of vector components. The multiplier may also be configured to sum the products of the vector components to form the vector dot product. The final product may be output in segments so as to require fewer bus lines. The segments may be rounded by adding a rounding constant. Rounding and normalization may be performed in two paths, one assuming an overflow will occur, the other assuming no overflow will occur.

A specialized processing block for a programmable logic device incorporates a fundamental processing unit that performs a sum of two multiplications, adding the partial products of both multiplications without computing the individual multiplications. Such fundamental processing units consume less area than conventional separate multipliers and adders. The specialized processing block further has input and output stages, as well as a loopback function, to allow the block to be configured for various digital signal processing operations, including finite impulse response (FIR) filters and infinite impulse response (IIR) filters. By using the programmable connections, and in some cases the programmable resources of the programmable logic device, and by running portions of the specialized processing block at higher clock speeds than the remainder of the programmable logic device, more complex FIR and IIR filters can be implemented.

A computation unit computes a division operation Y/X by determining the value of a divisor reciprocal 1/X and multiplying the reciprocal by a numerator Y. The reciprocal 1/X value is determined using a quadratic approximation having a form:where coefficients A, B, and C are constants that are stored in a storage or memory such as a read-only memory (ROM). The bit length of the coefficients determines the error in a final result. Storage size is reduced through use of "least mean square error"techniques in the determination of the coefficients that are stored in the coefficient storage. During the generation of partial products x2, Ax2, and Bx, the process of rounding is eliminated, thereby reducing the computational logic to implement the division functionality.

A barcode having product information is paired with an implantable medical device or component. The barcode is optically read and at least a portion of the product information is stored into a temporary memory. At least a portion of the product information stored in the temporary memory is electronically written to permanent memory of an RFID chip associated with the implanted medical device or component.

A floating point multiplier includes a data path in which a plurality of partial products are calculated and then reduced to a first partial product and a second partial product. Shift amount determining circuitry 100 analyses the exponents of the input operands A and B as well as counting the leading zeros in the fractional portions of these operands to determine an amount of left shift or right shift to be applied by shifting circuitry 200, 202 within the multiplier data path. This shift amount is applied so as to align the partial products so that when they are added they will produce the result C without requiring this to be further shifted. Furthermore, shifting the partial products to the correct alignment in this way in advance of adding these partial products permits injection rounding combined with the adding of the partial products to be employed for cases including subnormal values.

A microprocessor executes a fused multiply-accumulate operation of a form +-A * B +- C by dividing the operation in first and second suboperations. The first suboperation selectively accumulates the partial products of A and B with or without C and generates an intermediate result vector and a plurality of calculation control indicators. The calculation control indicators indicate how subsequent calculations to generate a final result from the intermediate result vector should proceed. The intermediate result vector, in combination with the plurality of calculation control indicators, provides sufficient information to generate a result indistinguishable from an infinitely precise calculation of the compound arithmetic operation whose result is reduced in significance to a target data size.

The natural benzaldehyde preparing process includes the following steps: the heated reaction between natural cinnamic aldehyde and water solution of alkaline matter in a reactor to produce natural benzaldehyde and acetaldehyde; rectification in a rectifier in the upper part of the reactor to produce gaseous natural benzaldehyde and acetaldehyde in the top of the rectifier; condensing the gaseous natural benzaldehyde and acetaldehyde; and conveying partial product to post section. The process has continuous elimination of the produced natural benzaldehyde and acetaldehyde, high material concentration, high reaction efficiency, low production cost and high product quality.

An apparatus multiplies a first and a second binary polynomial X(t) and Y(t) over GF(2), where an irreducible polynomial Mm(t)=t<m>+am-1t<m-1>+am-2t<m-2>t<m-2>+ . . . +a1t+a0, and where the coefficients ai are equal to either 1 or 0, and m is a field degree. The degree of X(t)<n, and the degree of Y(t)<n, and m<=n. The apparatus includes a digit serial modular multiplier circuit coupled to supply a multiplication result of degree >=m of a multiplication of the first and second binary polynomials. The digit serial modular multiplier circuit includes a first and second register, each being <=n bits. A partial product generator circuit multiplies a portion of digit size d of contents of the first register and contents of the second register. The partial product generator is also utilized as part of a reduction operation for at least one generic curve.