Implementing division in a programmable integrated circuit device
First Claim
1. A method of configuring a programmable integrated circuit device to use dedicated symmetrical multipliers to perform a division operation that provides a quotient of a dividend input value and a divisor input value, said quotient having a first precision, said method comprising:
- configuring logic of said programmable integrated circuit device to use at least a first of said dedicated symmetrical multipliers to operate on said divisor input value to provide an inverted divisor approximation having a second precision less precise than said first precision;
configuring logic of said programmable integrated circuit device to recursively compute a remainder by initializing said remainder to said dividend input value at said first precision and then, in each recursive stage, subtracting from said remainder a product, computed by a plurality of said dedicated symmetrical multipliers configured as an asymmetrical multiplier, of (a) said remainder represented at said second precision, (b) said divisor input value represented at said first precision, and (c) said inverted divisor approximation;
configuring logic of said programmable integrated circuit device to compute a respective component of said quotient in each said recursive stage, by computing, using at least one of said dedicated symmetrical multipliers, a product of (1) said remainder represented at said second precision, and (2) said inverted divisor approximation; and
configuring logic of said programmable integrated circuit device to add said respective components of said quotient to provide said quotient.
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Accused Products
Abstract
Division can be performed in a programmable integrated circuit device by computing a relatively small number of bits of the inverse of the divisor, and then programming multipliers in a specialized processing block of the device to perform multiplication of the dividend and the inverted divisor. The specialized processing block is constructed to be able to be programmed to support such asymmetric multiplication by providing programmable shifting of partial products, so that the partial products can be shifted one number of bits for symmetric multiplication and a different number of bits for asymmetric multiplication. The process is performed recursively, by chaining a plurality of the specialized processing blocks, so that the result converges notwithstanding the relatively low precision of the inverted divisor.
233 Citations
50 Claims
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1. A method of configuring a programmable integrated circuit device to use dedicated symmetrical multipliers to perform a division operation that provides a quotient of a dividend input value and a divisor input value, said quotient having a first precision, said method comprising:
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configuring logic of said programmable integrated circuit device to use at least a first of said dedicated symmetrical multipliers to operate on said divisor input value to provide an inverted divisor approximation having a second precision less precise than said first precision; configuring logic of said programmable integrated circuit device to recursively compute a remainder by initializing said remainder to said dividend input value at said first precision and then, in each recursive stage, subtracting from said remainder a product, computed by a plurality of said dedicated symmetrical multipliers configured as an asymmetrical multiplier, of (a) said remainder represented at said second precision, (b) said divisor input value represented at said first precision, and (c) said inverted divisor approximation; configuring logic of said programmable integrated circuit device to compute a respective component of said quotient in each said recursive stage, by computing, using at least one of said dedicated symmetrical multipliers, a product of (1) said remainder represented at said second precision, and (2) said inverted divisor approximation; and configuring logic of said programmable integrated circuit device to add said respective components of said quotient to provide said quotient. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
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13. A programmable integrated circuit device configurable to perform a division operation that provides a quotient of a dividend input value and a divisor input value, each of which has a first precision, said programmable integrated circuit device comprising:
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a plurality of specialized processing blocks each having a plurality of dedicated symmetrical multiplier circuits; logic configurable to use at least a first of said dedicated symmetrical multiplier circuits to operate on said divisor input value to provide an inverted divisor approximation having a second precision less precise than said first precision; logic configurable to recursively compute a remainder by initializing said remainder to said dividend input value at said first precision and then, in each recursive stage, subtracting from said remainder a product, computed using a plurality of said dedicated symmetrical multiplier circuits configured as an asymmetrical multiplier circuit, of (a) said remainder represented at said second precision, (b) said divisor input value represented at said first precision, and (c) said inverted divisor approximation; logic configurable to compute a respective component of said quotient in each said recursive stage, by computing, using at least one of said dedicated symmetrical multiplier circuits, a product of (1) said remainder represented at said second precision, and (2) said inverted divisor approximation; and logic configurable to add said respective components of said quotient to provide said quotient. - View Dependent Claims (14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25)
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26. A programmable integrated circuit device configured to perform a division operation that provides a quotient of a dividend input value and a divisor input value, each of which has a first precision, said programmable integrated circuit device comprising:
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a plurality of specialized processing blocks each having a plurality of dedicated symmetrical multiplier circuits; logic configured to use at least a first of said dedicated symmetrical multiplier circuits to operate on said divisor input value to provide an inverted divisor approximation having a second precision less precise than said first precision; logic configured to recursively compute a remainder by initializing said remainder to said dividend input value at said first precision and then, in each recursive stage, subtracting from said remainder a product, computed using a plurality of said dedicated symmetrical multiplier circuits configured as an asymmetrical multiplier circuit, of (a) said remainder represented at said second precision, (b) said divisor input value represented at said first precision, and (c) said inverted divisor approximation; logic configured to compute a respective component of said quotient in each said recursive stage, by computing, using at least one of said dedicated symmetrical multiplier circuits, a product of (1) said remainder represented at said second precision, and (2) said inverted divisor approximation; and logic configured to add said respective components of said quotient to provide said quotient. - View Dependent Claims (27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38)
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39. A machine-readable data storage medium encoded with machine-executable instructions for configuring a programmable integrated circuit device to use dedicated symmetrical multipliers to perform a division operation that provides a quotient of a dividend input value and a divisor input value, said quotient having a first precision, said instructions comprising:
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instructions to configure logic of said programmable integrated circuit device to use at least a first of said dedicated symmetrical multipliers to operate on said divisor input value to provide an inverted divisor approximation having a second precision less precise than said first precision; instructions to configure logic of said programmable integrated circuit device to recursively compute a remainder by initializing said remainder to said dividend input value at said first precision and then, in each recursive stage, subtracting from said remainder a product, computed using a plurality of said dedicated symmetrical multipliers configured as an asymmetrical multiplier, of (a) said remainder represented at said second precision, (b) said divisor input value represented at said first precision, and (c) said inverted divisor approximation; instructions to configure logic of said programmable integrated circuit device to compute a respective component of said quotient in each said recursive stage, by computing, using at least one of said dedicated symmetrical multipliers, a product of (1) said remainder represented at said second precision, and (2) said inverted divisor approximation; and instructions to configure logic of said programmable integrated circuit device to add said respective components of said quotient to provide said quotient. - View Dependent Claims (40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50)
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Specification