﻿ QSIN
 QSIN

Action

Returns the sinus of an integer

Syntax

var = QSIN( source )

Remarks

 Var A numeric integer variable that is assigned with sinus of variable source. source The integer variable to get the sinus of.

Integer SIN and COS use a lookup table to determine the Sinus or Co sinus. Qsin and Qcos are used by some of the FT800 routines.

The sinus of angle α is shown above. At 0 degrees the value on the y-ax is 0 and at 90 degrees, the value is at its maximum on the Y-ax. In the first quadrant of the circle (1) sinus will have a positive number as a result. In quadrant 2 of the circle, the sinus goes from the maximum value down to 0 and the result is a positive number as well.

In quadrant 3 and 4 of the circle, we will get a negative number as a result since the result is below the x-ax.

The QSIN works with integers which have a range from -32768 to 32767. This means that for the quadrant 1 and 2 we can use a value between 0 and 32767. In degrees we would use a value between 0 and 180. This means that each degree has a value of 182 (32767/180).

The negative values are reserved for quadrant 3 and 4.

Instead of integers you can also use a word variable.

The following simple sample will show the input and output values.

Dim Iii As Integer , I2 As Integer , W As Word

For W= 0 To 65535 Step 182

Iii = W          ' for usage as an integer

I2 = Qsin(iii)  ' get the value of W/III

Print W; "  " ; Iii ; "  " ; I2

Next

This will give the output :

W III  QSIN

0  0  0

182  182  571

364  364  1143

546  546  1713

728  728  2284

910  910  2854

1092  1092  3423

1274  1274  3992

1456  1456  4558

1638  1638  5124

1820  1820  5687

--snip--

15470  15470  32640

15652  15652  32685

15834  15834  32720

16016  16016  32745

16198  16198  32760

16380  16380  32766

16562  16562  32761

16744  16744  32746

16926  16926  32721

17108  17108  32687

17290  17290  32643

17472  17472  32588

17654  17654  32523

17836  17836  32448

18018  18018  32364

18200  18200  32270

18382  18382  32166

18564  18564  32053

18746  18746  31929

18928  18928  31796

19110  19110  31653

19292  19292  31500

19474  19474  31339

19656  19656  31166

19838  19838  30986

20020  20020  30794

20202  20202  30595

20384  20384  30386

20566  20566  30167

20748  20748  29939

20930  20930  29702

21112  21112  29456

21294  21294  29202

21476  21476  28938

21658  21658  28666

21840  21840  28384

22022  22022  28095

22204  22204  27796

22386  22386  27489

22568  22568  27173

22750  22750  26850

--snip--

32214  32214  1738

32396  32396  1168

32578  32578  596

32760  32760  25

32942  -32594  -546

33124  -32412  -1118

33306  -32230  -1688

33488  -32048  -2259

33670  -31866  -2829

33852  -31684  -3398

--snip --

48230  -17306  -32638

48412  -17124  -32683

48594  -16942  -32719

48776  -16760  -32744

48958  -16578  -32760

49140  -16396  -32766

49322  -16214  -32761

49504  -16032  -32747

49686  -15850  -32723

49868  -15668  -32688

50050  -15486  -32645

50232  -15304  -32590

50414  -15122  -32526

50596  -14940  -32452

50778  -14758  -32368

50960  -14576  -32275

51142  -14394  -32171

51324  -14212  -32058

51506  -14030  -31934

51688  -13848  -31802

51870  -13666  -31659

52052  -13484  -31507

52234  -13302  -31346

52416  -13120  -31174

52598  -12938  -30994

52780  -12756  -30803

52962  -12574  -30604

53144  -12392  -30395

--snip--

63154  -2382  -7417

63336  -2200  -6859

63518  -2018  -6299

63700  -1836  -5737

63882  -1654  -5173

64064  -1472  -4608

64246  -1290  -4042

64428  -1108  -3473

64610  -926  -2904

64792  -744  -2334

64974  -562  -1764

65156  -380  -1193

65338  -198  -621

65520  -16  -50

When we feed the output in Excel we can create the graph above, showing a perfect sinus.