Data storage method, ternary inner product operation circuit, semiconductor device including the same, and ternary inner product arithmetic processing program
A data storage method includes storing a plurality of pieces of 2-bit wide ternary data in one word, each of the plurality of pieces of 2-bit wide ternary data indicating +1 when a first bit indicates a first value, indicating −1 when a second bit indicates the first value, and indicating 0 when both the first bit and the second bit indicate a second value.
1. A ternary inner product operation method using a processor and a memory coupled to the processor, the method comprising:
storing, by the processor into the memory, a plurality of pieces of 2-bit wide ternary data to form a plurality of pieces of ternary data of each of first and second sets of input data indicating +1 when a first bit indicates a first value, indicating −1 when a second bit indicates the first value, and indicating 0 when both the first bit and the second bit indicate a second value;
multiplying, by a ternary multiplication unit of the processor, respective elements of the first and second sets of input data to obtain the 2-bit wide ternary data;
outputting, by a multiplication result processing unit of the processor, a number obtained by subtracting a number of pieces of the ternary data indicating −1 from a number of pieces of the ternary data indicating +1 of the plurality of pieces of ternary data forming a result of multiplication in the ternary multiplication unit as an inner product operation result, said outputting including:
counting, by a first counter, a number of pieces of ternary data in which a first bit indicates a first value of the plurality of pieces of ternary data forming the result of the multiplication to specify the number of pieces of the ternary data indicating +1;
counting, by a second counter, a number of pieces of ternary data in which a second bit indicates the first value of the plurality of pieces of ternary data forming the result of the multiplication to specify the number of pieces of the ternary data indicating −1; and
subtracting, by a subtraction circuit, the number of pieces of the ternary data indicating −1 from the number of pieces of the ternary data indicating +1, by the processor, as the inner product operation result; and
processing the inner product operation result and the 2-bit wide ternary data to obtain an operation result including an inner product of the first and second sets of input data.
2. A ternary inner product operation circuit for operating on a plurality of ternary data in a ternary format, the ternary data comprising a plurality of pieces of ternary data of each of first and second sets of input data formed by storing a plurality of pieces of 2-bit wide ternary data indicating +1 when a first bit indicates a first value, indicating −1 when a second bit indicates the first value, and indicating 0 when both the first bit and the second bit indicate a second value, the ternary inner product operation circuit comprising:
a ternary multiplication unit multiplying respective elements of the first and second sets of input data to obtain 2-bit wide ternary data;
a multiplication result processing unit that outputs a number obtained by subtracting a number of pieces of the ternary data indicating −1 from a number of pieces of the ternary data indicating +1 of the plurality of pieces of ternary data forming the result of the multiplication in the ternary multiplication unit as an inner product operation result, wherein the multiplication result processing unit comprises:
a first counter that counts the number of pieces of the ternary data indicating +1 of the plurality of pieces of ternary data forming the result of the multiplication in the ternary multiplication unit;
a second counter that counts the number of pieces of the ternary data indicating −1 of the plurality of pieces of ternary data forming the result of the multiplication in the ternary multiplication unit; and
a subtraction circuit that subtracts a result of the count in the second counter from a result of the count in the first counter to obtain the inner product operation result; and
a processor processing the inner product operation result and the 2-bit wide ternary data to obtain an operation result including an inner product of the first and second sets of input data.
3. The ternary inner product operation circuit according to claim 2 , wherein the first counter counts the number of pieces of ternary data in which the first bit indicates the first value of the plurality of pieces of ternary data forming the result of the multiplication in the ternary multiplication unit to specify the number of pieces of the ternary data indicating +1, and
wherein the second counter counts the number of pieces of ternary data in which the second bit indicates the first value of the plurality of pieces of ternary data forming the result of the multiplication in the ternary multiplication unit to specify the number of pieces of the ternary data indicating −1.
4. A semiconductor device, comprising:
the ternary inner product operation circuit according to claim 2 ; and
a memory storing the first and second sets of input data input to the ternary inner product operation circuit.
5. A non-transitory computer readable medium that causes a processor and a memory coupled to the processor to execute:
storing, by the processor into the memory, a plurality of pieces of 2-bit wide ternary data to form a plurality of pieces of ternary data of each of first and second sets of input data indicating +1 when a first bit indicates a first value, indicating −1 when a second bit indicates the first value, and indicating 0 when both the first bit and the second bit indicate a second value;
multiplying, by a ternary multiplication unit, respective elements of the first and second sets of input data to obtain the 2-bit wide ternary data;
outputting, by a multiplication result processing unit, a number obtained by subtracting a number of pieces of the ternary data indicating −1 from a number of pieces of the ternary data indicating +1 of the plurality of pieces of ternary data forming a result of multiplication in the ternary multiplication unit as an inner product operation result, said obtaining including:
first count processing, by a first counter, to count a number of pieces of ternary data indicating +1 of the plurality of pieces of ternary data forming the result of the multiplication by the multiplication processing;
second count processing, by a second counter, to count a number of pieces of ternary data indicating −1 of the plurality of pieces of ternary data forming the result of the multiplication by the multiplication processing; and
subtraction processing, by a subtraction circuit, to subtract the number of pieces of the ternary data indicating −1 from the number of pieces of the ternary data indicating +1 to obtain the inner product operation result; and
processing the inner product operation result and the 2-bit wide ternary data to obtain an operation result including an inner product of the first and second sets of input data.
6. The non-transitory computer readable medium according to claim 5 , wherein the first counter counts the number of pieces of ternary data in which the first bit indicates the first value of the plurality of pieces of ternary data forming the result of the multiplication to specify the number of pieces of the ternary data indicating +1, and
wherein the second counter counts the number of pieces of ternary data in which the second bit indicates the first value of the plurality of pieces of ternary data forming the result of the multiplication to specify the number of pieces of the ternary data indicating −1.