Abstract: Apparatus and methods are disclosed for performing mathematical operations that can be applied in a number of processor architectures. In one example of the disclosed technology, a lookup table is configured to return two or more function values based on an input operand of a single processor instruction storing a fixed-point number. A control unit is configured to execute the instruction by addressing the lookup table based on an index portion of the input operand, and an interpolation module is configured to interpolate an output value based on two or more of the returned function values by scaling at least one of the returned function values by a fractional portion of the input operand. In some examples, a second instruction can be used to store the function values in the lookup table.

Abstract: A translation table has entries that each include a share bit and a delta bit, with pointers that point to a memory block that includes reuse bits. When two translation table entries reference identical fragments in a memory block, one of the translation table entries is changed to refer to the same memory block referenced in the other translation table entry, which frees up a memory block. The share bit is set to indicate a translation table entry is sharing its memory block with another translation table entry. In addition, a translation table entry may include a private delta in the form of a pointer that references a memory fragment in the memory block that is not shared with other translation table entries. When a translation table has a private delta, its delta bit is set.

Abstract: A translation table has entries that each include a share bit and a delta bit, with pointers that point to a memory block that includes reuse bits. When two translation table entries reference identical fragments in a memory block, one of the translation table entries is changed to refer to the same memory block referenced in the other translation table entry, which frees up a memory block. The share bit is set to indicate a translation table entry is sharing its memory block with another translation table entry. In addition, a translation table entry may include a private delta in the form of a pointer that references a memory fragment in the memory block that is not shared with other translation table entries. When a translation table has a private delta, its delta bit is set.

Abstract: A translation table has entries that each include a share bit and a delta bit, with pointers that point to a memory block that includes reuse bits. When two translation table entries reference identical fragments in a memory block, one of the translation table entries is changed to refer to the same memory block referenced in the other translation table entry, which frees up a memory block. The share bit is set to indicate a translation table entry is sharing its memory block with another translation table entry. In addition, a translation table entry may include a private delta in the form of a pointer that references a memory fragment in the memory block that is not shared with other translation table entries. When a translation table has a private delta, its delta bit is set.

Abstract: A translation table has entries that each include a share bit and a delta bit, with pointers that point to a memory block that includes reuse bits. When two translation table entries reference identical fragments in a memory block, one of the translation table entries is changed to refer to the same memory block referenced in the other translation table entry, which frees up a memory block. The share bit is set to indicate a translation table entry is sharing its memory block with another translation table entry. In addition, a translation table entry may include a private delta in the form of a pointer that references a memory fragment in the memory block that is not shared with other translation table entries. When a translation table has a private delta, its delta bit is set.