A semiconductor chip is described having a functional unit that can execute a first instruction and execute a second instruction. The first instruction is an instruction that multiplies two operands. The second instruction is an instruction that approximates a function according to C0+C1X2+C2X2.sup.2. The functional unit has a multiplier circuit. The multiplier circuit has: i) a first input to receive bits of a first operand of the first instruction and receive bits of a C1 term of the second instruction; ii) a second input to receive bits of a second operand of the first instruction and receive bits of a X2 term of the second instruction.

Mathematical functions are computed in a single pipeline performing a polynomial approximation (e.g. a quadratic approximation, or the like); and one or more data tables corresponding to at least one of the RCP, SQRT, EXP or LOG functions operable to be coupled to the single pipeline according to one or more opcodes; wherein the single pipeline is operable for computing at least one of RCP, SQRT, EXP or LOG functions according to the one or more opcodes. SIN and COS are also computed using the pipeline according to the approximation ((1)^IntX)*Sin(*Min(FracX, 1.0FracX)/Min(FracX, 1.0FracX). A pipeline portion approximates Sin(*FracX) using tables and interpolation and a subsequent stage multiplies this approximation by FracX. For input arguments of x close 1.0. LOG 2(x1)/(x1) is computed using a first pipeline portion using tables and interpolation and subsequently multiplied by (x1). A DIV operation may also be performed with input arguments scaled up to avoid underflow as needed.

A motion vector derivation unit includes a comparison unit for comparing a parameter TR1 for a reference vector with a predetermined value to determine whether it exceeds the predetermined value or not; a switching unit for switching selection between the maximum value of a pre-stored parameter TR and the parameter TR1 according to the comparison result by the comparison unit; a multiplier parameter table (for multipliers); and a multiplier parameter table (for divisors) for associating the parameter TR1 with a value approximate to the inverse value (1/TR1) of this parameter TR1.

A motion vector derivation unit includes a comparison unit for comparing a parameter TR1 for a reference vector with a predetermined value to determine whether it exceeds the predetermined value or not; a switching unit for switching selection between the maximum value of a pre-stored parameter TR and the parameter TR1 according to the comparison result by the comparison unit; a multiplier parameter table (for multipliers); and a multiplier parameter table (for divisors) for associating the parameter TR1 with a value approximate to the inverse value (1/TR1) of this parameter TR1.

A motion vector derivation unit includes a comparison unit for comparing a parameter TR1 for a reference vector with a predetermined value to determine whether it exceeds the predetermined value or not; a switching unit for switching selection between the maximum value of a pre-stored parameter TR and the parameter TR1 according to the comparison result by the comparison unit; a multiplier parameter table (for multipliers); and a multiplier parameter table (for divisors) for associating the parameter TR1 with a value approximate to the inverse value (1/TR1) of this parameter TR1.

A motion vector derivation unit includes a comparison unit for comparing a parameter TR1 for a reference vector with a predetermined value to determine whether it exceeds the predetermined value or not; a switching unit for switching selection between the maximum value of a pre-stored parameter TR and the parameter TR1 according to the comparison result by the comparison unit; a multiplier parameter table (for multipliers); and a multiplier parameter table (for divisors) for associating the parameter TR1 with a value approximate to the inverse value (1/TR1) of this parameter TR1.

A motion vector derivation unit includes a comparison unit for comparing a parameter TR1 for a reference vector with a predetermined value to determine whether it exceeds the predetermined value or not; a switching unit for switching selection between the maximum value of a pre-stored parameter TR and the parameter TR1 according to the comparison result by the comparison unit; a multiplier parameter table (for multipliers); and a multiplier parameter table (for divisors) for associating the parameter TR1 with a value approximate to the inverse value (1/TR1) of this parameter TR1.