Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. The processor defines a special store instruction that is different from a regular store instruction. The special store instruction is used in regions of the computer program where memory aliasing may occur. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing may occur.

Abstract: Aspects of an embodiment of the invention disclose a method, computer program product, and system for managing the energy efficiency of servers providing multi-class computing services with Quality of Service (QoS) assurance. Computing resources are clustered into at least three groups, where each group has a separate power management policy (PMP). A plurality of requests are received from a plurality of devices, and are sorted into at least three service classes based on the requests' QoS criteria. Each request is assigned to one of at least three service queues based on the request's service class, and each service group is processed by a group of computing resources. The power management policies are configured such that each group of computing resources may service requests at an energy efficient point while meeting the QoS criteria of the service class.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The result is code that is more optimized and therefore runs faster.

Abstract: A primary interval for convergence of at least one power series in a transcendental function is interpolated, while selecting a number of one or more interpolation points for a truncated expansion of the at least one power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the one or more interpolation points. Each separate value evaluated for the function and each of the at least one derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The compiled code is then executed on the processor hardware, which detects memory aliasing at run-time and assures proper operation of the code even when memory aliasing occurs.

Abstract: A primary interval for convergence of at least one power series in a transcendental function is interpolated, while selecting a number of one or more interpolation points for a truncated expansion of the at least one power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the one or more interpolation points. Each separate value evaluated for the function and each of the at least one derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. The processor defines a special store instruction that is different from a regular store instruction. The special store instruction is used in regions of the computer program where memory aliasing may occur. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing may occur.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. The processor defines a special store instruction that is different from a regular store instruction. The special store instruction is used in regions of the computer program where memory aliasing may occur. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing may occur.

Abstract: Aspects of an embodiment of the invention disclose a method, computer program product, and system for managing the energy efficiency of servers providing multi-class computing services with Quality of Service (QoS) assurance. Computing resources are clustered into at least three groups, where each group has a separate power management policy (PMP). A plurality of requests are received from a plurality of devices, and are sorted into at least three service classes based on the requests' QoS criteria. Each request is assigned to one of at least three service queues based on the request's service class, and each service group is processed by a group of computing resources. The power management policies are configured such that each group of computing resources may service requests at an energy efficient point while meeting the QoS criteria of the service class.

Abstract: Aspects of an embodiment of the invention disclose a method, computer program product, and system for managing the energy efficiency of servers providing multi-class computing services with Quality of Service (QoS) assurance. Computing resources are clustered into at least three groups, where each group has a separate power management policy (PMP). A plurality of requests are received from a plurality of devices, and are sorted into at least three service classes based on the requests' QoS criteria. Each request is assigned to one of at least three service queues based on the request's service class, and each service group is processed by a group of computing resources. The power management policies are configured such that each group of computing resources may service requests at an energy efficient point while meeting the QoS criteria of the service class.

Abstract: A primary interval for convergence of at least one power series in a transcendental function is interpolated; while selecting a number of interpolation points for a truncated expansion of power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the interpolation points by computing a set of scaled values for convergence boundaries of the truncated expansion for a total number of values to be stored in the table; for each index value up to a value of the number of the interpolation points, evaluating the function and the derivative of the function of the truncated expansion converging in the set of scaled values to compute separate constant values for the primary function and each at least one derivative; and for each index value, adding each separate constant value to the table with a separate index value.

Abstract: A primary interval for convergence of at least one power series in a transcendental function is interpolated, while selecting a number of one or more interpolation points for a truncated expansion of the at least one power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the one or more interpolation points. Each separate value evaluated for the function and each of the at least one derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The result is code that is more optimized and therefore runs faster.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The result is code that is more optimized and therefore runs faster.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The result is code that is more optimized and therefore runs faster.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The compiled code is then executed on the processor hardware, which detects memory aliasing at run-time and assures proper operation of the code even when memory aliasing occurs.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The result is code that is more optimized and therefore runs faster.

Abstract: Processor hardware detects when memory aliasing occurs, and assures proper operation of the code even in the presence of memory aliasing. Because the hardware can detect and correct for memory aliasing, this allows a compiler to make optimizations such as register promotion even in regions of the code where memory aliasing can occur. The compiled code is then executed on the processor hardware, which detects memory aliasing at run-time and assures proper operation of the code even when memory aliasing occurs.

Abstract: A primary interval for convergence of at least one power series in a transcendental function is interpolated, while selecting a number of one or more interpolation points for a truncated expansion of the at least one power series by a selected order of truncation. A function and at least one derivative of the function of the truncated expansion of the selected order of truncation is evaluated at the one or more interpolation points. Each separate value evaluated for the function and each of the at least one derivative is saved in a table, wherein the table is looked up for efficiently computing a result of the truncated expansion of the at least one power series.

Abstract: A method of and system for verifying a document, the method comprising generating verification information for the document, comparing the verification information with authentic verification information, and identifying differences between the document and an authentic document.