Abstract: A Set Boolean machine instruction is provided that has associated therewith a result location to be used for a set Boolean operation and a mask. The mask is configured to test a plurality of types of conditions, including simple conditions and composite conditions. The machine instruction is executed, and the executing includes performing a first logical operation between the mask and contents of a selected field to obtain an output. The mask indicates a condition to be tested, and the condition is one type of condition of the plurality of types of conditions. The executing further includes performing a second logical operation on the output to obtain a first value represented as one data type, and placing a result in the result location based on the first value. The result including a second a value of another data type, the other data type being different from the one data type.

Abstract: The invention introduces a method for calculating floating-point operands, which contains at least the following steps: receiving an FP (floating-point) operand in a first format from a source register, wherein the first format is one of a group of first formats of different kinds; converting the FP operand in the first format into an FP operand in a second format; generating a calculation result in the second format by calculating the FP operand in the second format; converting the calculation result in the second format into a calculation result in the first format; and writing-back the calculation result of the first format.

Abstract: A binary logic circuit converts a number in floating point format having an exponent E, an exponent bias B=2ew?1?1, and a significand comprising a mantissa M of mw bits into a fixed point format with an integer width of iw bits and a fractional width of fw bits.

Abstract: A binary logic circuit converts a number in floating point format having an exponent E of ew bits, an exponent bias B given by B=2ew-1?1, and a significand comprising a mantissa M of mw bits into a fixed point format with an integer width of iw bits and a fractional width of fw bits.

Abstract: Methods, systems, and apparatus, including an apparatus for adding three or more floating-point numbers. In one aspect, a method includes receiving, for each of three or more operands, a set of bits that include a floating-point representation of the operand. A given operand is identified. For each other operand, the mantissa bits of the operand are shifted such that the bits of the operand align with the bits of the given operand. A sticky bit for each other operand is determined. An overall sticky bit value is determined based on each sticky bit. The overall sticky bit value is zero whenever all of the sticky bits are zero or at least two sticky bits are non-zero and do not match. The overall sticky bit value matches the value of each non-zero sticky bit whenever all of the non-zero sticky bits match or there is only one non-zero sticky bit.

Abstract: A computational device includes an input memory, which receives a first array of input numbers having a first precision represented by N bits. An output memory stores a second array of output numbers having a second precision represented by M bits, M<N. Quantization logic reads the input numbers from the input memory, extracts from each input number a set of M bits, at a bit offset within the input number that is indicated by a quantization factor, and writes a corresponding output number based on the extracted set of bits to the second array in the output memory. A quantization controller sets the quantization factor so as to optimally fit an available range of the output numbers in the second array to an actual range of the input numbers in the first array in extraction of the M bits from the input numbers.

Abstract: Embodiments are directed to a computer implemented method for executing machine instructions in a central processing unit. The executing includes loading a first operand into a first operand register, and loading a second operand into a second operand register. The executing further includes shifting either the first operand or the second operand to form a shifted operand. The executing further includes adding or subtracting the first operand and the second operand to obtain a sum or a difference, and loading the sum or the difference having a least significant bit into a third register or a memory. The executing further includes performing a probability analysis on least significant bits of the shifted operand or the non-shifted operand, and initiating a rounding operation on the least significant bit of the sum or the difference based at least in part on the probability analysis.

Abstract: Embodiments are directed to a computer implemented method for executing machine instructions in a central processing unit. The executing includes loading a first operand into a first operand register, and loading a second operand into a second operand register. The executing further includes shifting either the first operand or the second operand to form a shifted operand. The executing further includes adding or subtracting the first operand and the second operand to obtain a sum or a difference, and loading the sum or the difference having a least significant bit into a third register or a memory. The executing further includes performing a probability analysis on least significant bits of the shifted operand or the non-shifted operand, and initiating a rounding operation on the least significant bit of the sum or the difference based at least in part on the probability analysis.

Abstract: According to one embodiment, a translation component is configured to operate on document encoded data to translate the document encoded data into a canonical format comprising a plurality of canonical types that fold together into a byte stream. The translation component is configured to accept any storage format of data (e.g., column store, row store, LSM tree, etc. and/or data from any storage engine, WIREDTIGER, MMAP, AR tree, Radix tree, etc.) and translate that data into a byte stream to enable efficient comparison. When executing searches and using the translated data to provide comparisons there is necessarily a trade-off based on the cost of translating the data and how much the translated data can be leveraged to increase comparison efficiency.

Abstract: Processing within a computing environment is facilitated. An operand of an instruction is obtained, which includes decimal floating point data encoded in a compressed format. An operation is performed on the operand absent decompressing a source value of a trailing significand of the decimal floating point data in the compressed format.

Abstract: The disclosure relates to technology for generating a data set comprising random numbers that are distributed by a multivariate population distribution. A set of empirical cumulative distribution functions are constructed from a collection of multidimensional random samples of the multivariate population, where each empirical cumulative distribution function is constructed from observations of a random variable. A number of multidimensional sample points are sampled from the collection of multidimensional random samples and the number of multidimensional sample points are each replaced with random neighbors to generate cloned data.

Abstract: A neural network unit includes a random bit source that generates random bits and a plurality of neural processing units (NPU). Each NPU includes an accumulator into which the NPU accumulates a plurality of products as an accumulated value and a rounder that receives the random bits from the random bit source and stochastically rounds the accumulated value based on a random bit received from the random bit source.

Abstract: Apparatus for processing data includes processing circuitry 16, 18, 20, 22, 24, 26 and decoder circuitry 14 for decoding program instructions. The program instructions decoded include a floating point pre-conversion instruction which performs round-to-nearest ties to even rounding upon the mantissa field of an input floating number to generate an output floating point number with the same mantissa length but with the mantissa rounded to a position corresponding to a shorter mantissa field. The output mantissa field includes a suffix of zero values concatenated the rounded value. The decoder for circuitry 14 is also responsive to an integer pre-conversion instruction to quantise and input integer value using round-to-nearest ties to even rounding to form an output integer operand with a number of significant bits matched to the mantissa size of a floating point number to which the integer is later to be converted using an integer-to-floating point conversion instruction.

Abstract: Machine instructions, referred to herein as a long Convert from Zoned instruction (CDZT) and extended Convert from Zoned instruction (CXZT), are provided that read EBCDIC or ASCII data from memory, convert it to the appropriate decimal floating point format, and write it to a target floating point register or floating point register pair. Further, machine instructions, referred to herein as a long Convert to Zoned instruction (CZDT) and extended Convert to Zoned instruction (CZXT), are provided that convert a decimal floating point (DFP) operand in a source floating point register or floating point register pair to EBCDIC or ASCII data and store it to a target memory location.

Abstract: A floating-point unit, configured to implement a fused-multiply-add operation on three 128 bit wide operands is provided, which includes a 113×113-bit multiplier; a left shifter; a right shifter; a select circuit including a 3-to-2 compressor; an adder connected to the dataflow from the select circuit; a first feedback path connecting a carry output of the adder to the select circuit; a second feedback path connecting the output of the adder to the shifters for passing an intermediate wide result through the shifters.

Abstract: Machine instructions, referred to herein as a long Convert from Zoned instruction (CDZT) and extended Convert from Zoned instruction (CXZT), are provided that read EBCDIC or ASCII data from memory, convert it to the appropriate decimal floating point format, and write it to a target floating point register or floating point register pair. Further, machine instructions, referred to herein as a long Convert to Zoned instruction (CZDT) and extended Convert to Zoned instruction (CZXT), are provided that convert a decimal floating point (DFP) operand in a source floating point register or floating point register pair to EBCDIC or ASCII data and store it to a target memory location.

Abstract: A method of operating a data processing system when determining a b-bit unsigned normalized integer representation U of a number x is disclosed. When the number x has a value between 0 and 1, the method comprises determining the integer part I of (x×2b), and determining whether to use the integer part I, an incremented version of the integer part I, or a decremented version of the integer part I for the unsigned normalized integer representation U of the number x based on a comparison that uses the fractional part F of (x×2b) and the number x.

Abstract: A method for generating a random number for use in a stochastic rounding operation is provided. The method includes executing an instruction that causes at least two operands to produce an intermediate result and incrementing a state of a random number generator. The method d further includes causing the random number generator to generate a random number in accordance with the state and producing a final result by utilizing the random number to determine a rounding of the intermediate result.

Abstract: A tessellation method and apparatus are provided, where the tessellation method includes receiving a first value that is calculated in performing tessellation, the first value being a first floating-point real number represented by a first exponent and a first mantissa; determining a second precision of the first mantissa on the basis of a value of the first exponent and a first precision; and adjusting the first mantissa to have the second precision.

Abstract: A magnetization vector storing method includes: acquiring, by a computer, a saturation magnetization value of a material to be simulated from a database indicating the saturation magnetization value of each material; dividing each component of a magnetization vector indicating a magnetization state of the material to be simulated by the saturation magnetization value; and converting each component of the magnetization vector obtained after the dividing using the saturation magnetization into an integer value and storing the integer value in a storage unit.

Abstract: A data processing apparatus for performing rounding on an input value to produce a rounded form output value includes floor calculation circuitry that receives the input value in redundant-representation and generates two candidates of a floor of the input value in non-redundant representation. Ceiling calculation circuitry receives the input value in redundant-representation and generates two candidates of a ceiling of the input value in non-redundant representation. Selection circuitry outputs one of the two candidates of the floor of said input value and the two candidates of the ceiling of said input value as the rounded form output value, based on a sign of a residual value associated with the input value. Each of the two candidates of the floor of the input value correspond with different values of the sign of the residual value and each of the two candidates of the ceiling of said input value correspond with different values of the sign of said residual value.

Abstract: A device is provided for computing a function value of a function F. The device includes a memory, a truncator unit, a selector unit, and an evaluator unit. The memory contains a look-up table comprising a set of entries, each entry having associated with it a domain and an approximation function for approximating F on the associated domain. The truncator unit is arranged to truncate or round a first value X1 to generate a second value X2. The selector unit is arranged to select an entry of the lookup-table according to the second value X2, thus selecting the approximation function that is associated with the selected entry. The evaluator unit is arranged to determine the function value of the selected approximation function at the first value X1.

Abstract: A method for generating a random number for use in a stochastic rounding operation is provided. The method includes executing an instruction that causes at least two operands to produce an intermediate result and incrementing a state of a random number generator. The method d further includes causing the random number generator to generate a random number in accordance with the state and producing a final result by utilizing the random number to determine a rounding of the intermediate result.

Abstract: The present embodiments relate to performing reduced-precision floating-point arithmetic operations using specialized processing blocks with higher-precision floating-point arithmetic circuitry. A specialized processing block may receive four floating-point numbers that represent two single-precision floating-point numbers, each separated into an LSB portion and an MSB portion, or four half-precision floating-point numbers. A first partial product generator may generate a first partial product of first and second input signals, while a second partial product generator may generate a second partial product of third and fourth input signals.

Abstract: Systems and methods for performing on-the-fly format conversion on data vectors during load/store operations are described herein. In one embodiment, a method for loading a data vector from a memory into a vector unit comprises reading a plurality of samples from the memory, wherein the plurality of samples are packed in the memory. The method also comprises unpacking the samples to obtain a plurality of unpacked samples, performing format conversion on the unpacked samples in parallel, and sending at least a portion of the format-converted samples to the vector unit.

Abstract: The disclosed embodiments relate to systems and methods for efficiently distributing content among a plurality of users which may be used to implement a social networking service. Content items, which may include “posts” submitted by one user, e.g. responsive to a “post” submitted by another user, are stored in association with data indicative of a specified subset of an interest category classifications defined by the system. Users of the system further specify a subset of the interest category classifications to define their interests. The system then provides content items of interest to the user by mapping, as will be described, the defined interests of the user against the interests associated with the stored content items. The disclosed embodiments enable users to discover and expand their interconnections with other users which may have similar interests.

Abstract: A memory subsystem package is provided that has processing logic for data reorganization within the memory subsystem package. The processing logic is adapted to reorganize data stored within the memory subsystem package. In some embodiments, the memory subsystem package includes memory units, a memory interconnect, and a data reorganization engine (“DRE”). The data reorganization engine includes a stream interconnect and DRE units including a control processor and a load-store unit. The control processor is adapted to execute instructions to control a data reorganization. The load-store unit is adapted to process data move commands received from the control processor via the stream interconnect for loading data from a load memory address of a memory unit and storing data to a store memory address of a memory unit.

Abstract: Method, apparatus, and program means for performing a conversion. In one embodiment, a disclosed apparatus includes a destination storage location corresponding to a first architectural register. A functional unit operates responsive to a control signal, to convert a first packed first format value selected from a set of packed first format values into a plurality of second format values. Each of the first format values has a plurality of sub elements having a first number of bits The second format values have a greater number of bits. The functional unit stores the plurality of second format values into an architectural register.

Abstract: This disclosure relates generally to energy management and more particularly to energy management systems and methods. In one embodiment, a method of communicating data within an energy management system is disclosed. The method includes performing energy management analytics on data collected from a plurality of devices in the energy management system. The method further includes transmitting a plurality of dynamically configurable data frames. Each dynamically configurable data frame comprising at least a portion of data collected from the plurality of devices and a result of the energy management analytics and being encrypted in a format that avoids transmission of a plurality of repetitive data parameters. The method includes decrypting the plurality of dynamically configurable data frames received to perform advanced analytics on the data and the result.

Abstract: The disclosed herein related to a method for generating a partial stochastic rounding operation executed by a processor coupled to a memory. The method includes generating an intermediate result and causing a random number generator to generate a random number. The method also includes adding the random number to lower significant bits of the intermediate result to perturb any incrementing of most significant bits of the intermediate result to produce a resulting sum. The method also includes truncating the resulting sum into a final result. According to other embodiments, the above method can be implemented in a system or computer program product.

Abstract: Each binary floating-point value in a set of binary floating-point values is converted to a decimal floating-point value. Data are determined including an exponent, a mantissa and a quantity of decimal digits of the mantissa for each decimal floating-point value. The exponents, the mantissas and the quantity of decimal digits are individually compressed to produce compressed floating-point values based on the individual compressions.

Abstract: A method of an aspect includes receiving a floating point scaling instruction. The floating point scaling instruction indicates a first source including one or more floating point data elements, a second source including one or more corresponding floating point data elements, and a destination. A result is stored in the destination in response to the floating point scaling instruction. The result includes one or more corresponding result floating point data elements each including a corresponding floating point data element of the second source multiplied by a base of the one or more floating point data elements of the first source raised to a power of an integer representative of the corresponding floating point data element of the first source. Other methods, apparatus, systems, and instructions are disclosed.

Abstract: A method for generating a random number for use in a stochastic rounding operation is provided. The method includes executing an instruction that causes at least two operands to produce an intermediate result and incrementing a state of a random number generator. The method d further includes causing the random number generator to generate a random number in accordance with the state and producing a final result by utilizing the random number to determine a rounding of the intermediate result.

Abstract: Method, apparatus, and program means for performing a conversion. In one embodiment, a disclosed apparatus includes a destination storage location corresponding to a first architectural register. A functional unit operates responsive to a control signal, to convert a first packed first format value selected from a set of packed first format values into a plurality of second format values. Each of the first format values has a plurality of sub elements having a first number of bits The second format values have a greater number of bits. The functional unit stores the plurality of second format values into an architectural register.

Abstract: Method, apparatus, and program means for performing a conversion. In one embodiment, a disclosed apparatus includes a destination storage location corresponding to a first architectural register. A functional unit operates responsive to a control signal, to convert a first packed first format value selected from a set of packed first format values into a plurality of second format values. Each of the first format values has a plurality of sub elements having a first number of bits The second format values have a greater number of bits. The functional unit stores the plurality of second format values into an architectural register.

Abstract: Method, apparatus, and program means for performing a conversion. In one embodiment, a disclosed apparatus includes a destination storage location corresponding to a first architectural register. A functional unit operates responsive to a control signal, to convert a first packed first format value selected from a set of packed first format values into a plurality of second format values. Each of the first format values has a plurality of sub elements having a first number of bits The second format values have a greater number of bits. The functional unit stores the plurality of second format values into an architectural register.

Abstract: Method, apparatus, and program means for performing a conversion. In one embodiment, a disclosed apparatus includes a destination storage location corresponding to a first architectural register. A functional unit operates responsive to a control signal, to convert a first packed first format value selected from a set of packed first format values into a plurality of second format values. Each of the first format values has a plurality of sub elements having a first number of bits The second format values have a greater number of bits. The functional unit stores the plurality of second format values into an architectural register.

Abstract: A decimal floating point finite number in a decimal floating point format is composed from the number in a different format. A decimal floating point format includes fields to hold information relating to the sign, exponent and significand of the decimal floating point finite number. Other decimal floating point data, including infinities and NaNs (not a number), are also composed. Decimal floating point data are also decomposed from the decimal floating point format to a different format. For composition and decomposition, one or more instructions may be employed, including a shift significand instruction.

Abstract: A processor or other device, such as a programmable and/or massively parallel processor or other device, includes processing elements designed to perform arithmetic operations (possibly but not necessarily including, for example, one or more of addition, multiplication, subtraction, and division) on numerical values of low precision but high dynamic range (“LPHDR arithmetic”). Such a processor or other device may, for example, be implemented on a single chip. Whether or not implemented on a single chip, the number of LPHDR arithmetic elements in the processor or other device in certain embodiments of the present invention significantly exceeds (e.g., by at least 20 more than three times) the number of arithmetic elements, if any, in the processor or other device which are designed to perform high dynamic range arithmetic of traditional precision (such as 32 bit or 64 bit floating point arithmetic).

Abstract: Described herein are systems and methods for conversion of numeric values between different number base formats, for use with software applications. In accordance with an embodiment, an integral part of a passed floating-point numeric value in a source number base (e.g., binary) format is isolated and converted to an integer. A fractional part of the numeric value is also isolated and converted to an integer, while limiting the isolation and conversion of the fractional part to a required precision or number of digits, depending on the particular requirements of a software application. The fractional part can be rounded, including determining an exact roundoff as appropriate, and if necessary propagating the rounding to the integral part. Digits from the resulting integers representing the integral and fractional parts can then be collected and used to prepare a representation of the original numeric value in a target number base (e.g., decimal) format.

Abstract: Apparatus and methods for conversion from floating point to signed integer representation are provided. Two's complementation and determination of a shift control signal indicating the number of bit positions for shifting the two's complemented mantissa to produce the signed integer are performed in parallel. Generation of the shift control signal, including application of an optional scaling factor, is performed using an adder, with the most significant bit of input floating point exponent inverted and an external carry-in of one. Two's complementation for generation of the signed integer from the mantissa is performed using an adder. Certain aspects may be utilized for purposes other than format conversion. The two's complementation may be used for general conversion from unsigned to signed integer format or from signed to unsigned integer format.

Abstract: Method, apparatus, and program means for performing a conversion. In one embodiment, a disclosed apparatus includes a destination storage location corresponding to a first architectural register. A functional unit operates responsive to a control signal, to convert a first packed first format value selected from a set of packed first format values into a plurality of second format values. Each of the first format values has a plurality of sub elements having a first number of bits The second format values have a greater number of bits. The functional unit stores the plurality of second format values into an architectural register.

Abstract: Flexible high-speed generation and formatting of application-specified strings in floating point and related formats is available through table-based base conversion which may be integrated with custom formatting, and through printf-style functionality based on separate control string parsing and specialized format command sequence execution.

Abstract: A decimal floating point finite number in a decimal floating point format is composed from the number in a different format. A decimal floating point format includes fields to hold information relating to the sign, exponent and significand of the decimal floating point finite number. Other decimal floating point data, including infinities and NaNs (not a number), are also composed. Decimal floating point data are also decomposed from the decimal floating point format to a different format.

Abstract: Disclosed are a method and apparatus for compressing/decompressing data using floating points. As technology for compressing/decompressing data using floating points for efficient memory management, there are provided a method and apparatus for compressing/decompressing data using floating points, in which a log table is used to compress/decompress data, whereby not only data loss caused by compression/decompression can be minimized, but also degradation of performance can be prevented through a floating point representation even though the same number of bits are used for compression.

Abstract: Each binary floating-point value in a set of binary floating-point values is converted to a decimal floating-point value. Data are determined including an exponent, a mantissa and a quantity of decimal digits of the mantissa for each decimal floating-point value. The exponents, the mantissas and the quantity of decimal digits are individually compressed to produce compressed floating-point values based on the individual compressions.

Abstract: A data processing apparatus has floating-point add circuitry to perform a floating-point addition operation for adding or subtracting two floating-point values. The apparatus also has conversion circuitry to perform a conversion operation to convert a first floating-point value into a second value having a different format. The conversion circuitry is capable of converting to an integer or fixed-point value. The conversion circuitry is physically distinct from the floating-point add circuitry.

Abstract: A data processing apparatus includes floating-point adder circuitry and floating-point conversion circuitry that generates a floating-point number as an output by performing a conversion on any input having a format from a list of formats including: an integer number, a fixed-point number, and a floating-point number having a format smaller than the output floating-point number. The floating-point conversion circuitry is physically distinct from the floating-point adder circuitry.

Abstract: An image encoder includes an extreme value determiner, a floating point-to-integer converter and an encoder. The extreme value determiner determines minimal and maximal values of a floating point image value of each pixel of a part of an image, an image or a group of images. The floating point-to-integer converter maps the floating point image value of each pixel to an integer image value. The minimal floating point image value is mapped to a minimal integer image value of a predefined range of integer image values and the maximal floating point image value is mapped to a maximal integer image value of the predefined range of integer image values. The encoder encodes the integer image value of each pixel to obtain and provide encoded image data of the part of the image, the image or the group of images.

Abstract: Circuitry that performs floating-point operations on an integrated circuit is provided. The circuitry may execute a floating-point operation by decomposing the floating-point operation into multiple steps and decomposing the floating-point number on which to perform the floating-point operation into multiple portions. The circuitry may include storage circuits that store at least some results of the multiple steps, and memory access operations may be performed using some portions of the floating-point number. The circuitry may use arithmetic floating-point and arithmetic fixed-point circuits to implement Taylor series expansion circuits that may perform a subset of the multiple steps, thereby reducing the complexity of the subset of these steps.