Abstract: Pseudo-random numbers (PRNs) generated by a PRN generator are mapped to predefined number ranges or target ranges. The target range may be smaller or larger than the range of the PRN generator. Mapping to a smaller target range may include generating PRNs (e.g., integers) from a particular bit-input stream (e.g., 32-bit) having a uniform distribution across the range of numbers; selecting an optimal subset of the generated PRNs to map; and mapping the selected PRNs to a corresponding number in a target range such that the mapped numbers are uniformly distributed across the target range. Mapping to a larger target range may include generating uniformly distributed PRNs; applying a generation function to the PRNs to generate uniformly distributed packed numbers; and applying a mapping function to map selected packed numbers to the target range such that the mapped numbers are uniformly distributed.

Abstract: Systems and techniques to generate pseudo-random numbers in a specified target range. In general, in one implementation, the technique includes an object class definition that defines a constructor method for generating a pseudo-random number generator object that is capable of generating pseudo-random numbers within a specified output range and a method for instructing the pseudo-random number generator object to output a pseudo-random numbers within the specified output range. The pseudo-random number generator may use a specified seed. In that case, generating pseudo-random numbers within a specified output range may generate a reproducible sequence if the same seed is used. The pseudo-random number generator may be defined to generate pseudo-random numbers that are uniformly distributed across the specified output range.

Abstract: Pseudo-random numbers (PRNs) generated by a PRN generator are mapped to predefined number ranges or target ranges. The target range may be smaller or larger than the range of the PRN generator. Mapping to a smaller target range may include generating PRNs (e.g., integers) from a particular bit-input stream (e.g., 32-bit) having a uniform distribution across the range of numbers; selecting an optimal subset of the generated PRNs to map; and mapping the selected PRNs to a corresponding number in a target range such that the mapped numbers are uniformly distributed across the target range. Mapping to a larger target range may include generating uniformly distributed PRNs; applying a generation function to the PRNs to generate uniformly distributed packed numbers; and applying a mapping function to map selected packed numbers to the target range such that the mapped numbers are uniformly distributed.