Abstract: A combined residue circuit configured to receive data and to provide a first residue result and a second residue result. The first residue result is based on a first modulo value, and the second residue result is based on a second modulo value. The first modulo value is different than the second modulo value. The first residue result is to be used to protect data based on a first radix, and the second residue result is to be used to protect data based on a second radix different from the first radix.

Abstract: An instruction to perform a shift and divide operation is executed. The executing includes shifting a value in a specified direction by a selected amount to provide a dividend, the selected amount being user-defined. The dividend is divided by a divisor to obtain a quotient. At least a subset of the quotient is selected as a result. The result is to be used in processing within the computing environment.

Abstract: An instruction to perform a shift and divide operation is executed. The executing includes shifting a value in a specified direction by a selected amount to provide a dividend, the selected amount being user-defined. The dividend is divided by a divisor to obtain a quotient. At least a subset of the quotient is selected as a result. The result is to be used in processing within the computing environment.

Abstract: An instruction generates a value for use in processing within a computing environment. The instruction obtains a sign control associated with the instruction, and shifts an input value of the instruction in a specified direction by a selected amount to provide a result. The result is placed in a first designated location in a register, and the sign, which is based on the sign control, is placed in a second designated location of the register. The result and the sign provide a signed value to be used in processing within the computing environment.

Abstract: An instruction to perform a sign operation of a plurality of sign operations configured for the instruction. The instruction is executed, and the executing includes selecting at least a portion of an input operand as a result to be placed in a select location. The selecting is based on a control of the instruction, in which the control indicates a user-defined size of the input operand to be selected as the result. A sign of the result is determined based on a plurality of criteria, including a value of the result, obtained based on the control of the instruction, having a first particular relationship or a second particular relationship with respect to a selected value. The result and the sign are stored in the select location to provide a signed output to be used in processing within the computing environment.

Abstract: An instruction to perform a multiply and shift operation is executed. The executing includes multiplying a first value and a second value obtained by the instruction to obtain a product. The product is shifted in a specified direction by a user-defined selected amount to provide a result, and the result is placed in a selected location. The result is to be used in processing within the computing environment.

Abstract: A combined residue circuit configured to receive data and to provide a first residue result and a second residue result. The first residue result is based on a first modulo value, and the second residue result is based on a second modulo value. The first modulo value is different than the second modulo value. The first residue result is to be used to protect data based on a first radix, and the second residue result is to be used to protect data based on a second radix different from the first radix.

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: A binary fused multiply-add floating-point unit configured to operate on an addend, a multiplier, and a multiplicand. The unit is configured to receive as the addend an unrounded result of a prior operation executed in the unit via an early result feedback path; to perform an alignment shift of the unrounded addend on an unrounded exponent and an unrounded mantissa; as well as perform a rounding correction for the addend in parallel to the actual alignment shift, responsive to a rounding-up signal.

Abstract: A binary fused multiply-add floating-point unit configured to operate on an addend, a multiplier, and a multiplicand. The unit is configured to receive as the addend an unrounded result of a prior operation executed in the unit via an early result feedback path; to perform an alignment shift of the unrounded addend on an unrounded exponent and an unrounded mantissa; as well as perform a rounding correction for the addend in parallel to the actual alignment shift, responsive to a rounding-up signal.

Abstract: Checking correctness of computations. An arithmetic logic unit circuit provides a computation result as a first number. The computation result is increased by a constant as a second number by the arithmetic logic unit circuit. A sum of the first number and the constant is compared to the second number, and an error is reported, if the comparing operation does not indicate an equal result.

Abstract: An instruction to perform a multiply and shift operation is executed. The executing includes multiplying a first value and a second value obtained by the instruction to obtain a product. The product is shifted in a specified direction by a user-defined selected amount to provide a result, and the result is placed in a selected location. The result is to be used in processing within the computing environment.

Abstract: An instruction generates a value for use in processing within a computing environment. The instruction obtains a sign control associated with the instruction, and shifts an input value of the instruction in a specified direction by a selected amount to provide a result. The result is placed in a first designated location in a register, and the sign, which is based on the sign control, is placed in a second designated location of the register. The result and the sign provide a signed value to be used in processing within the computing environment.

Abstract: An instruction to perform a shift and divide operation is executed. The executing includes shifting a value in a specified direction by a selected amount to provide a dividend, the selected amount being user-defined. The dividend is divided by a divisor to obtain a quotient. At least a subset of the quotient is selected as a result. The result is to be used in processing within the computing environment.

Abstract: An instruction to perform a sign operation of a plurality of sign operations configured for the instruction. The instruction is executed, and the executing includes selecting at least a portion of an input operand as a result to be placed in a select location. The selecting is based on a control of the instruction, in which the control indicates a user-defined size of the input operand to be selected as the result. A sign of the result is determined based on a plurality of criteria, including a value of the result, obtained based on the control of the instruction, having a first particular relationship or a second particular relationship with respect to a selected value. The result and the sign are stored in the select location to provide a signed output to be used in processing within the computing environment.

Abstract: An instruction generates a value for use in processing within a computing environment. The instruction obtains a sign control associated with the instruction, and shifts an input value of the instruction in a specified direction by a selected amount to provide a result. The result is placed in a first designated location in a register, and the sign, which is based on the sign control, is placed in a second designated location of the register. The result and the sign provide a signed value to be used in processing within the computing environment.

Abstract: An instruction to perform a shift and divide operation is executed. The executing includes shifting a value in a specified direction by a selected amount to provide a dividend, the selected amount being user-defined. The dividend is divided by a divisor to obtain a quotient. At least a subset of the quotient is selected as a result. The result is to be used in processing within the computing environment.

Abstract: An instruction to perform a sign operation of a plurality of sign operations configured for the instruction. The instruction is executed, and the executing includes selecting at least a portion of an input operand as a result to be placed in a select location. The selecting is based on a control of the instruction, in which the control indicates a user-defined size of the input operand to be selected as the result. A sign of the result is determined based on a plurality of criteria, including a value of the result, obtained based on the control of the instruction, having a first particular relationship or a second particular relationship with respect to a selected value. The result and the sign are stored in the select location to provide a signed output to be used in processing within the computing environment.

Abstract: An instruction to perform a multiply and shift operation is executed. The executing includes multiplying a first value and a second value obtained by the instruction to obtain a product. The product is shifted in a specified direction by a user-defined selected amount to provide a result, and the result is placed in a selected location. The result is to be used in processing within the computing environment.

Abstract: An instruction to perform a comparison of a first value and a second value is executed. Based on a control of the instruction, a compare function to be performed is determined. The compare function is one of a plurality of compare functions configured for the instruction, and the compare function has a plurality of options for comparison. A compare option based on the first value and the second value is selected from the plurality of options defined for the compare function, and used to compare the first value and the second value. A result of the comparison is then placed in a select location, the result to be used in processing within a computing environment.