Transforms with common factors

An apparatus comprising:

• a first logic to perform multiplication of a first group of two data values with a first group of two rational dyadic constants that approximates a first group of at least one irrational constant scaled by a first common factor, each rational dyadic constant being a rational number with a dyadic denominator;
• and
• a second logic to perform multiplication of a second group of four data values with a second group of four rational dyadic constants that approximates a second group of at least one irrational constant scaled by a second common factor.

A method comprising:

• performing multiplication of a first group of at least one data value with a first group of at least one rational dyadic constant that approximates a first group of at least one irrational constant scaled by a first common factor, each rational dyadic constant being a rational number with a dyadic denominator;
• and
• performing multiplication of a second group of at least one data value with a second group of at least one rational dyadic constant that approximates a second group of at least one irrational constant scaled by a second common factor, the first and second groups of at least one data value having different sizes.

An apparatus comprising:

• means for performing multiplication of a first group of at least one data value with a first group of at least one rational dyadic constant that approximates a first group of at least one irrational constant scaled by a first common factor, each rational dyadic constant being a rational number with a dyadic denominator;
• and
• means for performing multiplication of a second group of at least one data value with a second group of at least one rational dyadic constant that approximates a second group of at least one irrational constant scaled by a second common factor, the first and second groups of at least one data value having different sizes.

An apparatus comprising:

• a first logic to receive at least one data value;
• and
• a second logic to perform multiplication of the at least one data value with at least one rational dyadic constant that approximates at least one irrational constant scaled by a common factor, each rational dyadic constant being a rational number with a dyadic denominator, the common factor being selected based on number of logical and arithmetic operations for the multiplication of the at least one data value with the at least one rational dyadic constant.

A method comprising:

• receiving at least one data value;
• and
• performing multiplication of the at least one data value with at least one rational dyadic constant that approximates at least one irrational constant scaled by a common factor, each rational dyadic constant being a rational number with a dyadic denominator, the common factor being selected based on number of logical and arithmetic operations for the multiplication of the at least one data value with the at least one rational dyadic constant.

An apparatus comprising:

• means for receiving at least one data value;
• and
• means for performing multiplication of the at least one data value with at least one rational dyadic constant that approximates at least one irrational constant scaled by a common factor, each rational dyadic constant being a rational number with a dyadic denominator, the common factor being selected based on number of logical and arithmetic operations for the multiplication of the at least one data value with the at least one rational dyadic constant.