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ZIPcores - Fixed-point Mathematics

Fixed-point Mathematics

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Pipelined Divider with generic width
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Pipelined Divider with generic width

Function y = a / b is a high-speed divider with configurable dividend and divisor width. Inputs and outputs may be specified as either signed or unsigned values. Generates the quotient and remainder after division and includes a flag for a divide by zero exception.

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Pipelined Square Root with generic width
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Pipelined Square Root with generic width

Function f(x) = √x is a fully scalable square-root function with configurable data width. Inputs and outputs are unsigned integers. An n-bit input value will generate an output result with n/2 integer bits and n/2 fraction bits. Ideal for complex magnitude calculations.

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Pipelined Multiplier with generic width and depth
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Pipelined Multiplier with generic width and depth

Function y = a * b is a high-speed multiplier with configurable width and depth. Inputs and outputs may be specified as either signed or unsigned values. Forms a fundamental building block in all digital processing functions.

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16-bit Arctan Function
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16-bit Arctan Function

Function y = atan(x) calculates the inverse tangent of a fraction. It has a high-speed, fully pipelined architecture and uses a polynomial with dynamic coefficients to calculate the result to within 0.00004 radians. Input and output values are 16-bit unsigned fractions.


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16-bit Sine Function
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16-bit Sine Function

Function y = sin(x) calculates the sine of an angle in radians. It has a high-speed, fully pipelined architecture and uses a polynomial with dynamic coefficients to calculate the result to within 0.0002. Input and output values are 16-bit unsigned fractions.

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16-bit Cosine Function
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16-bit Cosine Function

Function y = cos(x) calculates the cosine of an angle in radians. It has a high-speed, fully pipelined architecture and uses a polynomial with dynamic coefficients to calculate the result to within 0.0002. Input and output values are 16-bit unsigned fractions.


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4-Quadrant Arctan Function
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4-Quadrant Arctan Function

Function y = atan2(y,x) calculates the 4-quadrant inverse tangent in the range -Pi to Pi. Functionally equivalent to the atan2 function in 'C' and MATLABŪ. Ideal for the measurement of complex phase in DSP applications. Accuracy to within 0.00008 radians.

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18-bit Sincos Function
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18-bit Sincos Function

Function calculates the Sine and Cosine of input x in radians. Inputs are 18-bit signed values in the range -Pi to Pi. Output values are 17-bit signed in the range -1 to 1. Ideal for the generation of quadrature signals in DSP and digital comms applications.


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FIFOs, Datapath and Pipeline Elements Peripheral and Communications Interfaces Caches and Memory Management Fixed-point Mathematics IEEE Floating-point Mathematics Digital Signal Processing Digital Modulation Digital Video Processing
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