SU1001093A1 - Device for computing sine and cosine functions - Google Patents

Description

one

The invention relates to automation and computer technology for finding trigonometric functions and can be applied to python-based information processing devices.

A device containing two amplifiers, the outputs of which are connected to the inputs of the adder and two memory blocks G1, is known.

A disadvantage of this device is the limited measurement range of the argument.

Closest to the proposed technical entity is a device containing three memory blocks, two multipliers and an adder, whose inputs are connected to the multiplier outputs, the outputs of the first and second memory blocks are connected to the inputs of the first multiplier, and the inputs of the second multiplier , the memory and the input part of the device argument, the other bits of which are connected to the inputs of the first and second memory blocks G2.

A disadvantage of the known device is low accuracy.

The purpose of the invention is to increase the accuracy of the calculation of the functions.

The goal is achieved; in that the device for calculating sine and cosine functions, which contains three memory blocks, two multipliers and an adder, whose inputs are connected to the outputs of the first and second multipliers, the first and second inputs of the first multiplier, respectively, are connected to the first output of the first memory block and the output of the second block the memory, the output of the adder is connected to the output of the sine of the device, the third and fourth multipliers, the subtractor and the control unit are additionally introduced, the first and second inputs of which are connected respectively to the input of the argument and t By the device's input, the output of the control unit is connected to the control inputs of the 67JOKOB memory, the second output of the first memory block is connected to the first inputs of the second and third multipliers, the second input of the third multiplier is connected to the output of the second memory block, the output of the third memory block connected to the second input of the second and first input of the fourth multiplier; the second input of the fourth multiplier is connected to the first output of the first memory block, whose information input is connected to the input of the reference value of the device function, outputs retego and fourth multipliers coupled to inputs of the subtractor, the output of which is connected to the data input of the second block memory and cosine output device, the output of the adder is connected to the data input of the third memory block. The control unit contains an element And a counter, a group of elements NOT, a modulo two adder and an NAND element whose input and output are connected respectively to the output of the modulo two adder and the first input of the AND element, the second input and output of which are connected respectively to the second input of the block control and meter input, the bit outputs of which turn the corresponding elements of the NOT group are connected to the first group of the bit inputs of the modulo two. the second group of which is connected to the first input of the control unit, the output of which is connected to the output of the element I, Fig. 1 is a block diagram of the device; Fig. 2 shows an embodiment of the control unit. A device for calculating sine and cosine functions contains a control unit 1, memory blocks 2 and 3, multipliers 4, adder 5, calculator 6, outputs 7 of memory block 2. The numbers in brackets show the similarity of the implementation of these blocks.

The control unit 1 contains the input 8 arguments, an adder 9 modulo two, a group of 10 NO elements, a counter 11, an AND element 12, an AND-NE 13 element, an output 14, and an input of 15 clock pulses.

The operation of the device consider an example. Let it be necessary to calculate the sine and cosine of the angle 10, At the information input of memory block 2, we have the value of sin 1 ° and from 1 °. Memory block 2 can be executed on a group of elements I.

After multiplying the corresponding products arrive at the adder 5

and subtractor 6, At the output of the adder 5, we get the value 2, the output of the subtractor 6 is the value of cos 2, which are entered into blocks 3 (1) and 3 (2) of memory, respectively

On the next clock cycles of the converter, we find the sine and cosine of the TG and 4 °, and so on, up to the value of the argument, the sine and cosine of which is needed. At the first cycle of the device operation, the input of argument 8 to the argument of the given function. This argument and the value recorded in the counter 11 are simulated in the adder 9 modulo two, with the accumulator 9 from the counter 11 receiving the inverse value. If the values supplied to the adder 9 do not match, the output of the AND-NE 13 group is I, This signal goes to the I 12 element and when it is fed to the input 15, the clock pulses into counter 11, memory block 2 and blocks 3 (1) and 3 ( 2) memory. At output 7 (1) of memory block 2, when a signal arrives at it, we get Sin 1 °, at output 7 (2) - cos 1 °. The value of si is fed from output 7 (1) of block 2 to the inputs of multipliers 4 (2) and 4 (4), the value of cos 1 ° to the inputs of multipliers 4 (1) and 4 (3), at the same time from block 3 ( 1) the memory of the signal coming from control block 1 is fed to the input of multipliers 4 (1) and 4 (4) previously recorded O, from block 3 (2) of memory to the input of multipliers 4 (2) and 4 (3) previously recorded 1, The value of sin 1 obtained at the output of the multiplier 4 (2) is fed through the adder 5 to the block 3 (1) of the memory. The value of co5 1 obtained at the output of multiplier 4 (3) goes through calculator 6 to block 3 (2) of memory. In the second cycle of operation of the digital converter, modulo two arguments and code written in the counter again occur. In case of inequality at the outputs the NAND element again receives a signal arriving at counter 11, memory block 2, blocks 3 (1) and 3 (2) memories. At the same time, from the output of 7 (1), the resulting 51 p 1 is served; to the inputs of multipliers 4 (2) and 4 (3), the obtained value cos 1 is fed to the inputs of multipliers 4 (1) and 4 (4). From block 3 (1) the memory is fed to the input of multipliers 4 (1) and 4 ( 4) the value of siti 1, from block 3 (2) of the memory is fed to the input of multipliers 4 (2) and 4 (3) the value of COS 1 °,

but determine. If the value recorded in the counter equals the co4 value of the argument at the output of the NAND element, O appears, the device stops its operation and its output will be the sine and cosine values of the argument supplied to the input of the device. The number of cycles of operation is determined by the value of the argument and the selected step.

invention formula

Claims (2)

1. A device for calculating sine and cosine functions containing three memory blocks, two multipliers and an adder, whose inputs are connected to the outputs of the first and second multipliers, the first and second inputs of the first multiplier are connected respectively to the first input of the first memory block and the output of the second the memory unit, the output of the adder is connected to the output of the sine of the device, characterized in that, with 1 increase in the accuracy of the calculation, the third and fourth multipliers, the subtractor and the control unit, the first and second inputs of which are Dineny respectively with the input of the argument and clock input of the device, the output of the control unit is connected to the control inputs of the memory blocks, the second output of the first memory block is connected to the first inputs of the second and third multipliers, the second input of the third multiplier is connected to the output of the second memory block of the third the memory unit is connected to the second input of the second and first input of the fourth multiplier, the second input of the fourth multiplier is connected to the first output of the first memory block, whose information input is connected. with the input of the reference value of the functions of the device, the outputs of the third and fourth multipliers are connected to the inputs of the subtracted bodies, the output of which is connected to the information input of the second memory block and the output of the cosine of the device, the output of the adder is connected to the information input of the third memory block. 2. The device according to claim 1, that is, that the control unit contains an element AND, a counter, a group of elements NOT, a modulo-two adder and an element NAND, the input and output of which connected to the output of the modulo two adder and the first input of the element I, the second input and output of which are connected respectively to the second input of the control unit and the input of the counter, the outputs of which through the corresponding HE elements of the group are connected to the first group of bit inputs of the modulo adder two, the second group of which is connected to the first inlet ohm control unit, whose output is connected to the output member I. Sources of information taken into account in the examination 1.Oransky A.M. Hardware methods of digital computing,. with. 49-5O, fig. 2.6. 2. Smolov V. B. Functional information converters. L., Energoizdat, p. ZO, rice. 2.8 (prototype).