Agarwal et al., 1999 - Google Patents
Series approximation methods for divide and square root in the Power3/sup TM/processorAgarwal et al., 1999
View PDF- Document ID
- 1231887111427523174
- Author
- Agarwal R
- Gustavson F
- Schmookler M
- Publication year
- Publication venue
- Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No. 99CB36336)
External Links
Snippet
The Power3 processor is a 64-bit implementation of the PowerPC/sup TM/architecture and is the successor to the Power2/sup TM/processor for workstations and servers which require high performance floating point capability. The previous processors used Newton-Raphson …
- 238000004422 calculation algorithm 0 abstract description 41
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F9/00—Arrangements for programme control, e.g. control unit
- G06F9/06—Arrangements for programme control, e.g. control unit using stored programme, i.e. using internal store of processing equipment to receive and retain programme
- G06F9/30—Arrangements for executing machine-instructions, e.g. instruction decode
- G06F9/30003—Arrangements for executing specific machine instructions
- G06F9/30007—Arrangements for executing specific machine instructions to perform operations on data operands
- G06F9/3001—Arithmetic instructions
- G06F9/30014—Arithmetic instructions with variable precision
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/52—Multiplying; Dividing
- G06F7/523—Multiplying only
- G06F7/533—Reduction of the number of iteration steps or stages, e.g. using the Booth algorithm, log-sum, odd-even
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/52—Multiplying; Dividing
- G06F7/523—Multiplying only
- G06F7/53—Multiplying only in parallel-parallel fashion, i.e. both operands being entered in parallel
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/499—Denomination or exception handling, e.g. rounding, overflow
- G06F7/49942—Significance control
- G06F7/49947—Rounding
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/52—Multiplying; Dividing
- G06F7/535—Dividing only
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/499—Denomination or exception handling, e.g. rounding, overflow
- G06F7/49905—Exception handling
- G06F7/4991—Overflow or underflow
- G06F7/49915—Mantissa overflow or underflow in handling floating-point numbers
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
- G06F7/5443—Sum of products
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/483—Computations with numbers represented by a non-linear combination of denominational numbers, e.g. rational numbers, logarithmic number system, floating-point numbers
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/50—Adding; Subtracting
- G06F7/505—Adding; Subtracting in bit-parallel fashion, i.e. having a different digit-handling circuit for each denomination
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F9/00—Arrangements for programme control, e.g. control unit
- G06F9/06—Arrangements for programme control, e.g. control unit using stored programme, i.e. using internal store of processing equipment to receive and retain programme
- G06F9/30—Arrangements for executing machine-instructions, e.g. instruction decode
- G06F9/38—Concurrent instruction execution, e.g. pipeline, look ahead
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F2207/38—Indexing scheme relating to groups G06F7/38 - G06F7/575
- G06F2207/3804—Details
- G06F2207/3808—Details concerning the type of numbers or the way they are handled
- G06F2207/3812—Devices capable of handling different types of numbers
- G06F2207/382—Reconfigurable for different fixed word lengths
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F2207/38—Indexing scheme relating to groups G06F7/38 - G06F7/575
- G06F2207/3804—Details
- G06F2207/386—Special constructional features
- G06F2207/3884—Pipelining
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F2207/00—Indexing scheme relating to methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F2207/535—Indexing scheme relating to groups G06F7/535 - G06F7/5375
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/14—Fourier, Walsh or analogous domain transformations, e.g. Laplace, Hilbert, Karhunen-Loeve, transforms
- G06F17/147—Discrete orthonormal transforms, e.g. discrete cosine transform, discrete sine transform, and variations therefrom, e.g. modified discrete cosine transform, integer transforms approximating the discrete cosine transform
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING; COUNTING
- G06F—ELECTRICAL DIGITAL DATA PROCESSING
- G06F1/00—Details of data-processing equipment not covered by groups G06F3/00 - G06F13/00, e.g. cooling, packaging or power supply specially adapted for computer application
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Zhang et al. | Efficient multiple-precision floating-point fused multiply-add with mixed-precision support | |
| JP6694880B2 (en) | Effectiveness matching | |
| US6397238B2 (en) | Method and apparatus for rounding in a multiplier | |
| US5844830A (en) | Executing computer instrucrions by circuits having different latencies | |
| JP5684393B2 (en) | Multiplication and addition functional unit capable of executing SCALE, ROUND, GETEXP, ROUND, GETMANT, REDUCE, RANGE and CLASS instructions | |
| US6697832B1 (en) | Floating-point processor with improved intermediate result handling | |
| US5943249A (en) | Method and apparatus to perform pipelined denormalization of floating-point results | |
| Agarwal et al. | Series approximation methods for divide and square root in the Power3/sup TM/processor | |
| Huang et al. | Low-cost binary128 floating-point FMA unit design with SIMD support | |
| EP3301568B1 (en) | Processing denormal numbers in fma hardware | |
| Bruguera | Low latency floating-point division and square root unit | |
| US5548545A (en) | Floating point exception prediction for compound operations and variable precision using an intermediate exponent bus | |
| Tan et al. | Low-power multiple-precision iterative floating-point multiplier with SIMD support | |
| Lutz | Fused multiply-add microarchitecture comprising separate early-normalizing multiply and add pipelines | |
| TW202036269A (en) | Processing of iterative operation | |
| Gerwig et al. | The IBM eServer z990 floating-point unit | |
| Lee et al. | Design of floating-point MAC unit for computing DNN applications in PIM | |
| Boersma et al. | The POWER7 binary floating-point unit | |
| Wang et al. | A survey of hardware designs for decimal arithmetic | |
| Tsen et al. | A combined decimal and binary floating-point multiplier | |
| EP0840207A1 (en) | A microprocessor and method of operation thereof | |
| Schulte et al. | Floating-point division algorithms for an x86 microprocessor with a rectangular multiplier | |
| Bruguera | Radix-64 floating-point division and square root: Iterative and pipelined units | |
| US6963895B1 (en) | Floating point pipeline method and circuit for fast inverse square root calculations | |
| Jaiswal et al. | Taylor series based architecture for quadruple precision floating point division |