An aspect includes an apparatus for evaluating a mathematical function at an input value. The apparatus includes a selector for selecting a mathematical function, an input for a value at which to evaluate the function, an identifier for identifying an interval containing the input value. The interval is described by at least one polynomial function. At least one control point representing the polynomial function is retrieved from at least one look up table, and the polynomial function can be derived from the control points. The function is evaluated at the input value and an output of the evaluation is used as a value of the function at that input value.

Methods for converting an n-bit number into an m-bit number for situations where n>m and also for situations where n<m, where n and m are integers. The methods use truncation or bit replication followed by the calculation of an adjustment value which is applied to the replicated number.

An arbitrary waveform generator includes at least one analog output, a digital-to-analog converter connected to the analog output and a waveform source connected to the digital analog converter. The waveform source includes a waveform memory, a signal player and a signal processor. The waveform generator is controlled by a sequencer having an instruction memory for instructions and an instruction interpreter adapted to sequentially execute the instructions. A command table unit, in addition to the sequencer, is connected to the waveform source and includes a command table memory holding a plurality of commands. The commands include a waveform identifier for a waveform to be played and a parameter identifier describing how to modify the waveform in the signal processor. The sequencer can trigger the command table unit to execute a command therein, thereby playing the waveform with the parameter as identified by the command.

Methods for converting an n-bit number into an m-bit number for situations where n>m and also for situations where n<m, where n and m are integers. The methods use truncation or bit replication followed by the calculation of an adjustment value which is applied to the replicated number.

An aspect includes an apparatus for evaluating a mathematical function at an input value. The apparatus includes a selector for selecting a mathematical function, an input for a value at which to evaluate the function, an identifier for identifying an interval containing the input value. The interval is described by at least one polynomial function. At least one control point representing the polynomial function is retrieved from at least one look up table, and the polynomial function can be derived from the control points. The function is evaluated at the input value and an output of the evaluation is used as a value of the function at that input value.

Provided is a method and system for transforming a GUID of a database entry into a reduced identifier. The transformation may be performed by a bijective function. In one example, the method may include one or more of receiving a database entry which includes a global unique identifier (GUID) which uniquely identifies the database entry, identifying a transformation function associated with the database entry, transforming the GUID into a reduced identifier based on the transformation function wherein the reduced identifier has a reduced size with respect to a size of the GUID, and storing the database entry based on the reduced identifier.

Provided is a method and system for transforming a GUID of a database entry into a reduced identifier. The transformation may be performed by a bijective function. In one example, the method may include one or more of receiving a database entry which includes a global unique identifier (GUID) which uniquely identifies the database entry, identifying a transformation function associated with the database entry, transforming the GUID into a reduced identifier based on the transformation function wherein the reduced identifier has a reduced size with respect to a size of the GUID, and storing the database entry based on the reduced identifier.

A non-transitory computer-readable storage medium storing a program that causes a processor included in an information processing apparatus to execute a process, the process includes grouping a plurality of terms included in a polynomial on a term-by-term basis for a calculation expression performing half adjust on a value of the polynomial, generating an approximation expression of the calculation expression, the approximation expression adding values of the respective grouped terms after performing half adjust on the respective grouped terms, and converting the calculation expression into a low degree polynomial by using each of the terms that is a unit of performing the half adjust in the approximation expression.

Methods for converting an n-bit number into an m-bit number for situations where n>m and also for situations where n<m, where n and m are integers. The methods use truncation or bit replication followed by the calculation of an adjustment value which is applied to the replicated number.

Methods for converting an n-bit number into an m-bit number for situations where n>m and also for situations where n<m, where n and m are integers. The methods use truncation or bit replication followed by the calculation of an adjustment value which is applied to the replicated number.