SU533922A1 - Number function generator - Google Patents

Description

The accumulative error, the magnitude of which depends on the variables x and y. Another drawback of the device is its limited functionality, since it does not provide for working off functional dependencies in a twisted and shifted coordinate system.

The purpose of the invention is to improve the accuracy of the work: i expansion: the class of solvable tasks of the MPM to the generation of discrete signals in: 1, RABLE: and executive And oprajiaaiH.

This is achieved by the fact that in the present device a third input line is connected through the third and fourth elements AND to the inputs of the first and second addition blocks, and the outputs of the first and second blocks are combined and through the fifth and sixth element I to the inputs of the third and the fourth addition block, respectively, the output of the first addition block through the seventh element “And - to the vsau from the fourth addition block, and the output of the second block: S auger through the eighth element“ And - to the input of the third block, ”. Fourth and fifth tire through the ninth and tenth element "And the connectors with the inputs of the third and fourth blocks of the corresponding, sixth input cable through the eleventh and twelfth element" And - with the inputs of the third and fourth blocks of the complex, seventh, eighth, ninth one The tenths of the front tires are from the inputs, and the registers of the first, second, third, and fourth blocks of addition, respectively, the other inputs of the AND elements, with the corresponding outputs of the control unit.

FIG. 1 is a block diagram of a numeric function generator; pas figs. 2 shows an example of a displaced and rotated ellipse reproduced using the proposed DEVICE.

The generator of numerical functions contains four blocks of 1 addition, each of which consists of adder 2 and register 3, block 4 of control, elements “AND 5, control buses 6–9, input data bus 10–13, output bus 14–17 on the executive body of discrete signals, input buses 18-23.

The inputs 18 and 20 are connected to the inputs of the first block 1 of the stack through the elements "And 5 and 10 input source data, to the inputs of the second block of the Composition - the input buses 19 and 20 through the elements" 5 and 5 of the input 11 of the initial yes, data.

The input buses 21 and 23, as well as the output buses of the first and second addition blocks, are connected to the inputs of the third and addition blocks via the “5” elements and the input data input bus 12, to the inputs of the fourth addition block — input G1N: Ny 22 and 23, as well as output tires of the first and second blocks of addition and bus 13 V: water source data. The outputs of the sign bits of the registers 3 of all blocks of the addition are connected to the corresponding inputs 1 and block 4 of the control unit, the second inputs

elements corresponding output:, i; i control block.

The first addition block is used to calculate -c storage nr1rash.eeey numbers on the first coordinate (x), the second addition block - to calculate and store 1 and increments of numbers on the second coordinate (y), the third block of the steppe - for calculating and storing values of the evaluation function 6j, - at the point with coordinates x, - + 0.5 / g, r / j + / z (, g /, // g; i 0, 1,..., t;, 1 ,. .., l, h - quantization step of the coordinate grid). The fourth block is added and is provided for calculating and storing the values of the evaluation function 6, -j at the point with coordinates l:, - + / g; yj + q, bh.

Adder 2 is intended for a bitwise sequential addition of the numbers arriving at its inputs in lower-order bits, while register 3 is for storing and shifting

the result of the calculations obtained with the help of an adder, aipii this register has a ring processing:; a connection through the adder.

Unit 4 serves to control the operation of the numeric generator. The generation of discrete signals by this block is carried out depending on the decrement of the sign bits of the evaluation functions located in registers 3 of the third and fourth block / addition, and on the signs of increments of numbers stored in the coordinates stored in the registers of the first and second blocks of addition.

The process of generating discrete signals on input buses in the proposed device is based on the analysis of the signs of extrapolated function values at two discrete points with coordinates l:, - + 0.5 / g; y-. + h i yj + Q, 5h (hereinafter) with: the location of the executive body at the point with coordinates Xi, Ug. The rule of generating discrete signals in the processing of functional dependence of the quadrants following Hi e.

If the value is 5; r /; - | -1 (Y ,,, j-f0 ,, then a signal 1 is produced for the step of the step in the y coordinate.

If it were, then two signals are generated for the simultaneous execution of the elementary w: aha in both coordinates.

If 6ij O, b ,, then a signal is generated to perform an elementary step on the x coordinate.

To determine the values of the initial data entered into the device,

transition from the original equilibrated curve to

equation of reproductive function by

pods

А- „: - л, - ЬО, 5; y ,, b-i-l, (1)

-v, r- -V, - + 1; U „- --uu -0,5 (2)

in uroVNenie F (x, y) 0.

The values of the estimated function in the extrapolated points for any second-order curve in the proposed device are calculated according to the following expressions C, ± B (Y, s; i oL2J; .oL f + B (i + 0.5) Ai., Bl - | -So 8, ;; 2 4 / -bJXS) 2 l.h2 + S (i + 0.5), C- / 2 Bi,, „. , CO - b; y, where bo 0.125L + 0.25 (/) + B) + 0.5 (C + + f),, 125 C + 0.25 (B +) + 0.5 (L + + /) . Here the coefficients correspond to the equation Ak + Vku + Su + Ok-gE- -R. The preparation of the initial dachshikhs for the reproduction of the curve segment (x, y, x, y,;) can be taken out on the device, for which the expressions (1), and (2) need to be loosed ;, 0, g / "0, i.e., start the working out of the convoy under the condition r 0, / 0. When conditionally executed, y, n, the device will find the source data calculated for points with coordinates. Y,,)". The values of bo and are obtained at, / 0. The process of working off the curve segment ends when condition A,; -t,;, y,; “, {. Here / n ,,,. , / ,, (- coordinates of the boundary points of the segment. Curve. The proposed device works as follows. Before the initialization of the functional dependence, the registers 3 of all blocks / addition synchronously arrive in time. The number and number of initial data for the points g: „:; g “; In this case, the register of the first block of the addition of the bus 10 1 is entered the value of Lh,., - O,) - LB (g /,; - L0,5), into the register of the second block of the addition of the bus 11 - the order of O, (, 5). The register of the third block of the addition to the bus 12 is supplied with the value 0 ,, -y-0.5) (;:,. +0.5) (y = +1.0) + + C (/ y, + 1.0) D {x ,, +0.5) + (; /, + 0.5) 2 + regnstr of the fourth addition unit but bus 13 viODp:; sl. Data value 0 is entered. (. g ,,. i) (., +1). (y + o, 5) + C (g / „+ -1 0.5) 2 + D (, r, +) + E (y„ +0.5) + LB input of these numbers in registers 3, occurs in the following way . On the first clock cycle, all registers are set to the zero state. By the second clock cycle, the lower bits of the 10–13 numbers entered on the tires are written to the sign bits of the registers. Then the drying process shifts the contents of all the registers by one bit to the right and the second (adjacent to the lower) bits of the INPUTPED NUMBERS are recorded in the next second clock cycle in the newly significant sign bits of the registers. After completing k shifts, the input numbers of the initial double values are in the corresponding registers, and the sign bits and numbers are in the key bits of the registers. The input of the flow and the operation of the device is controlled by the flea. After entering the initial yes, in all registers, the first v.TpoiicTBa work cycle begins. Each work cycle consists of a jih semi-cyclase. In dependence. from the values of the sign bits of all the registers, the control unit generates one p10; 1: m1 pulses ui input nines, f. 17, and packs of emuls arriving at w; n (L 6-9). At this, in the first half cycle, packs of n. pulses are fed to nniiu- l 5 and 7, and in the second half. AND: Kles - 8 l tires 9. 9. Block 4 according to Niiam 6 and 7 controls the work of the first and second addition blocks, and 8 and 9 tires 9 work the third and fourth blocks of the slazei. Single emulsions on the shiax are produced at the beginning of each cycle of the device operation.The first and second blocks of addition in each nerve half cycle work According to the first tact of the first half-gok, the contents of the registers of these addition blocks are moved one position to the right, while the register bits are released. At the second measure, the lower digits of the numbers arrive and the inputs of each adder in this case, from the outputs of the registers, the numbers are always fed to the input of the adder, and the numbers coming in through the elements of "P 5, - only if there is a pp. resolving-num and the emuls on spies 6 and 7. The results are complex ;; and ml dp ; 1; x p; The numbers of the same tact are written in the sign bit reg; str. Thus, the addition of the younger bits of the numbers entering the ENTRANCE; the first and second addition blocks, and writing the result to the registers, are taken in two machine cycles. For the time of action of the next pair of clock cycles, the entire register of registers and one bit to the right occurs, while the sign bits of each retg line are released. Then; the second bits (adjacent to the younger ones) ijsel arrive at the inputs of the first and second addition blocks, ir the results of their addition are recorded in the TB slot, the 1st registers, etc. In the flow; 1 ;; from the first half cycle of work Those in registers are constantly shifting to the right, and the numbers that represent the result of the addition made by the adder are added to their place. In the case when, according to Shiam 5 and 7, the permitting signals from the control circuit stop, the numbers stored in the registers circulate through the sum.mmato; The first and second addition blocks in this case work in the diaamic memory mode, and at their outputs, alternately, all the bits of the numbers stored in the registers appear in the beginning. The first half of the work class is completed after the completion of k. The pair of operation cycles of the control unit.

The work of the third and fourth blocks of addition, B every second hylutsikle carried out as follows.

In the first instance of the second half-clock cycle, the contents of the sign bits of all the registers arrive at the input of the control unit.

In view of the value of these bits, the control unit produces bursts of pulses, ai, u: Inah, 8 liters, 9. By the same measure, Proschodt shifts the contents of all registers and one bit to the right, while the sign bits of these registers are released. In the second cycle of the second half-cycle, the lower-order bits of the numbers, including those from the first and second addition blocks, post the inputs of the third and fourth addition blocks through the elements “And 5. At the same time, 8 and (or) 9 are allowed , and signals that control the passage of the bits of numbers to the third 1 and fourth block of addition. The results of the addition of the lower bits of the numbers that arrive at the inputs of the adders of the third and fourth blocks of the addition are recorded in the sign bits of the registers. Further, the operation of the third and fourth addition blocks is performed in the same way as the operation of the first and second addition blocks in the first) half cycle. The second half-cycle of operation of the device ends after the execution of the following k drugs in the control unit.

Each cycle of operation of the device begins with the generation of single pulses on the output tires, depending on the spacing of the sign bits of the registers. The number of cycles of operation of the device is equal to the number of elementary steps necessary to reconstruct the interval, the curve by the executive body, and can be specified using the initial data.

An example of testing using the proposed device rotated and biased Ellnps described by the equation

0.05x2-0.06 l-g / + o, 05g / 2-0.38 + 0.1 g / - 1.15,

as the most complex curve described by the second-order equation; in fig. 2

The proposed device provides an "ideal best prc. Approach of a broken curve to a continuous curve, which in this case is absent from the prototype, there is no inclination. And its error: there is no change in the coordinate of the reproduced segment of the cr1P5y. It has the ability to zosproizvgdenn; 5th order crotch second order, including in the position of a 1 cm sysodepnoy coordinate system.

When you do .combined steps

calculating the values of the evaluation function in

two points are performed simultaneously that

doubles the speed

devices compared to analog.

In the proposed device, unlike

There is no need for a prototype.

select a smaller one from numbers and to store the content of the first and second blocks of addition.

Formula of invention

A numeric function generator containing

the control block, the blocks are folded and, each of which consists of an adder, whose inputs are connected to the input blocks of the addition block, and the output is connected to the input of the register, the output of which is connected to the corresponding

the input of the adder and the output pin of the addition unit, the elements P, the first input bus through the first element U connected to the input of the first addition unit, the second input bus through the second element I connected to the input of the second addition unit, the outputs of the sign bits of the registers Addition units are connected to the corresponding inputs of the control unit, the outputs of which are connected to the other inputs of the first and second

of elements “And, about tl and h and y and with the fact that, for the purpose of increase of accuracy of work and expansion of a class of solvable tasks, in it a third input bus through the third and fourth eleiteity“ And is connected to inputs of the first and

The second addition blocks, respectively, the zykhods of the first and second blocks, are combined and connected via the first and sixth element "And to the inputs of the third and fourth addition blocks, respectively, the output of the first addition block through the seventh element" And connected to the input of the fourth addition block, and the output of the second addition block through the eighth element "I" is connected to the input of the third block, they are combined. fourth, and fifth and the same through the ninth and tenth element "And are connected to the inputs of the third and fourth blocks of addition, respectively, the pole input bus through eleventh and twelfth elements "and are connected to the inputs of the third and fourth

the addition blocks, the seventh, eighth, ninth and tenth input plugs are connected to the inputs of the registers of the first, second, third and fourth blocks of the complex, respectively, the other inputs of the elements AND are connected to the corresponding outputs of the control unit.

Sources of information taken into account in the examination:

1. The US patent Lz 3352835, class. 235-150.2.2,1972.

2. The US patent LGO 3763363, CL 235-150.22, 1973.

FIG. one.