Systems and methods for measuring error in terms of unit in last place

One or more non-transitory computer-readable media, having stored thereon instructions that when executed by a computing device, cause the computing device to perform operations comprising:

• for an executable simulation model that includes model elements that perform functionality during execution of the simulation model, wherein data processed by the simulation model is in a floating point data type and the simulation model simulates a behavior of a system,
• performing, by one or more processors, a lookup on one or more data stores that include Unit in Last Place (ULP) error values determined for the model elements, the ULP error values resulting from at least one of rounding errors for the floating point data type, cancellation errors for the floating point data type, or errors due to mathematical approximations of the functionality performed by the model elements;
• inferring, by the one or more processors, the ULP error values through the simulation model;
• computing, by the one or more processors, at least one total ULP error value for the simulation model based on the inferring the ULP error values through the simulation model;
• and
• presenting the at least one total ULP error value.

An apparatus comprising:

• a display;
• one or more electronic memories storing an executable simulation model that includes model elements that perform functionality during execution of the simulation model, wherein data processed by the simulation model is in a floating point data type and the simulation model simulates a behavior of a system;
• and
• one or more processors coupled to the one or more memories and to the display, the one or more processors configured to:
• perform a lookup on one or more data stores that include Unit in Last Place (ULP) error values determined for the model elements, the ULP error values resulting from at least one of rounding errors for the floating point data type, cancellation errors for the floating point data type, or errors due to mathematical approximations of the functionality performed by the model elements;
• infer the ULP error values through the simulation model;
• compute at least one total ULP error value for the simulation model based on the infer the ULP error values through the simulation model;
• and
• present the at least one total ULP error value on the display.