Data update

This commit is contained in:
Ingy döt Net 2026-02-01 16:33:20 -08:00
parent 5150844a7d
commit 4bb20c9b71
7735 changed files with 38060 additions and 199180 deletions

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with Ada.Numerics.Elementary_Functions;
use Ada.Numerics.Elementary_Functions;
with Ada.Float_Text_Io; use Ada.Float_Text_Io;
with Ada.Text_IO; use Ada.Text_IO;
procedure Trig is
Degrees_Cycle : constant Float := 360.0;
Radians_Cycle : constant Float := 2.0 * Ada.Numerics.Pi;
Angle_Degrees : constant Float := 45.0;
Angle_Radians : constant Float := Ada.Numerics.Pi / 4.0;
procedure Put (V1, V2 : Float) is
begin
Put (V1, Aft => 5, Exp => 0);
Put (" ");
Put (V2, Aft => 5, Exp => 0);
New_Line;
end Put;
begin
Put (Sin (Angle_Degrees, Degrees_Cycle),
Sin (Angle_Radians, Radians_Cycle));
Put (Cos (Angle_Degrees, Degrees_Cycle),
Cos (Angle_Radians, Radians_Cycle));
Put (Tan (Angle_Degrees, Degrees_Cycle),
Tan (Angle_Radians, Radians_Cycle));
Put (Cot (Angle_Degrees, Degrees_Cycle),
Cot (Angle_Radians, Radians_Cycle));
Put (ArcSin (Sin (Angle_Degrees, Degrees_Cycle), Degrees_Cycle),
ArcSin (Sin (Angle_Radians, Radians_Cycle), Radians_Cycle));
Put (Arccos (Cos (Angle_Degrees, Degrees_Cycle), Degrees_Cycle),
Arccos (Cos (Angle_Radians, Radians_Cycle), Radians_Cycle));
Put (Arctan (Y => Tan (Angle_Degrees, Degrees_Cycle)),
Arctan (Y => Tan (Angle_Radians, Radians_Cycle)));
Put (Arccot (X => Cot (Angle_Degrees, Degrees_Cycle)),
Arccot (X => Cot (Angle_Degrees, Degrees_Cycle)));
end Trig;

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(defun rad_to_deg (rad)(* 180.0 (/ rad PI)))
(defun deg_to_rad (deg)(* PI (/ deg 180.0)))
(defun asin (x)
(cond
((and(> x -1.0)(< x 1.0)) (atan (/ x (sqrt (- 1.0 (* x x))))))
((= x -1.0) (* -1.0 (/ pi 2)))
((= x 1) (/ pi 2))
)
)
(defun acos (x)
(cond
((and(>= x -1.0)(<= x 1.0)) (-(* pi 0.5) (asin x)))
)
)
(list
(list "cos PI/6" (cos (/ pi 6)) "cos 30 deg" (cos (deg_to_rad 30)))
(list "sin PI/4" (sin (/ pi 4)) "sin 45 deg" (sin (deg_to_rad 45)))
(list "tan PI/3" (tan (/ pi 3))"tan 60 deg" (tan (deg_to_rad 60)))
(list "asin 1 rad" (asin 1.0) "asin 1 rad (deg)" (rad_to_deg (asin 1.0)))
(list "acos 1/2 rad" (acos (/ 1 2.0)) "acos 1/2 rad (deg)" (rad_to_deg (acos (/ 1 2.0))))
(list "atan pi/12" (atan (/ pi 12)) "atan 15 deg" (rad_to_deg(atan(deg_to_rad 15))))
)

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IDENTIFICATION DIVISION.
PROGRAM-ID. Trig.
DATA DIVISION.
WORKING-STORAGE SECTION.
01 Pi-Third USAGE COMP-2.
01 Degree USAGE COMP-2.
01 60-Degrees USAGE COMP-2.
01 Result USAGE COMP-2.
PROCEDURE DIVISION.
COMPUTE Pi-Third = FUNCTION PI / 3
DISPLAY "Radians:"
DISPLAY " Sin(π / 3) = " FUNCTION SIN(Pi-Third)
DISPLAY " Cos(π / 3) = " FUNCTION COS(Pi-Third)
DISPLAY " Tan(π / 3) = " FUNCTION TAN(Pi-Third)
DISPLAY " Asin(0.5) = " FUNCTION ASIN(0.5)
DISPLAY " Acos(0.5) = " FUNCTION ACOS(0.5)
DISPLAY " Atan(0.5) = " FUNCTION ATAN(0.5)
COMPUTE Degree = FUNCTION PI / 180
COMPUTE 60-Degrees = Degree * 60
DISPLAY "Degrees:"
DISPLAY " Sin(60°) = " FUNCTION SIN(60-Degrees)
DISPLAY " Cos(60°) = " FUNCTION COS(60-Degrees)
DISPLAY " Tan(60°) = " FUNCTION TAN(60-Degrees)
COMPUTE Result = FUNCTION ASIN(0.5) / 60
DISPLAY " Asin(0.5) = " Result
COMPUTE Result = FUNCTION ACOS(0.5) / 60
DISPLAY " Acos(0.5) = " Result
COMPUTE Result = FUNCTION ATAN(0.5) / 60
DISPLAY " Atan(0.5) = " Result
GOBACK
.

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import system'math;
import extensions;
public program()
public Program()
{
console.printLine("Radians:");
console.printLine("sin(π/3) = ",(Pi_value/3).sin());
console.printLine("cos(π/3) = ",(Pi_value/3).cos());
console.printLine("tan(π/3) = ",(Pi_value/3).tan());
console.printLine("arcsin(1/2) = ",0.5r.arcsin());
console.printLine("arccos(1/2) = ",0.5r.arccos());
console.printLine("arctan(1/2) = ",0.5r.arctan());
console.printLine();
Console.printLine("Radians:");
Console.printLine("sin(π/3) = ",(Pi_value/3).sin());
Console.printLine("cos(π/3) = ",(Pi_value/3).cos());
Console.printLine("tan(π/3) = ",(Pi_value/3).tan());
Console.printLine("arcsin(1/2) = ",0.5r.arcsin());
Console.printLine("arccos(1/2) = ",0.5r.arccos());
Console.printLine("arctan(1/2) = ",0.5r.arctan());
Console.printLine();
console.printLine("Degrees:");
console.printLine("sin(60º) = ",60.0r.Radian.sin());
console.printLine("cos(60º) = ",60.0r.Radian.cos());
console.printLine("tan(60º) = ",60.0r.Radian.tan());
console.printLine("arcsin(1/2) = ",0.5r.arcsin().Degree,"º");
console.printLine("arccos(1/2) = ",0.5r.arccos().Degree,"º");
console.printLine("arctan(1/2) = ",0.5r.arctan().Degree,"º");
Console.printLine("Degrees:");
Console.printLine("sin(60º) = ",60.0r.Radian.sin());
Console.printLine("cos(60º) = ",60.0r.Radian.cos());
Console.printLine("tan(60º) = ",60.0r.Radian.tan());
Console.printLine("arcsin(1/2) = ",0.5r.arcsin().Degree,"º");
Console.printLine("arccos(1/2) = ",0.5r.arccos().Degree,"º");
Console.printLine("arctan(1/2) = ",0.5r.arctan().Degree,"º");
console.readChar()
Console.readChar()
}

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$rad = [Math]::PI / 4
$deg = 45
'{0,10} {1,10}' -f 'Radians','Degrees'
'{0,10:N6} {1,10:N6}' -f [Math]::Sin($rad), [Math]::Sin($deg * [Math]::PI / 180)
'{0,10:N6} {1,10:N6}' -f [Math]::Cos($rad), [Math]::Cos($deg * [Math]::PI / 180)
'{0,10:N6} {1,10:N6}' -f [Math]::Tan($rad), [Math]::Tan($deg * [Math]::PI / 180)
$temp = [Math]::Asin([Math]::Sin($rad))
'{0,10:N6} {1,10:N6}' -f $temp, ($temp * 180 / [Math]::PI)
$temp = [Math]::Acos([Math]::Cos($rad))
'{0,10:N6} {1,10:N6}' -f $temp, ($temp * 180 / [Math]::PI)
$temp = [Math]::Atan([Math]::Tan($rad))
'{0,10:N6} {1,10:N6}' -f $temp, ($temp * 180 / [Math]::PI)

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$radians = [Math]::PI / 4
$degrees = 45
[PSCustomObject]@{Radians=[Math]::Sin($radians); Degrees=[Math]::Sin($degrees * [Math]::PI / 180)}
[PSCustomObject]@{Radians=[Math]::Cos($radians); Degrees=[Math]::Cos($degrees * [Math]::PI / 180)}
[PSCustomObject]@{Radians=[Math]::Tan($radians); Degrees=[Math]::Tan($degrees * [Math]::PI / 180)}
[double]$tempVar = [Math]::Asin([Math]::Sin($radians))
[PSCustomObject]@{Radians=$tempVar; Degrees=$tempVar * 180 / [Math]::PI}
[double]$tempVar = [Math]::Acos([Math]::Cos($radians))
[PSCustomObject]@{Radians=$tempVar; Degrees=$tempVar * 180 / [Math]::PI}
[double]$tempVar = [Math]::Atan([Math]::Tan($radians))
[PSCustomObject]@{Radians=$tempVar; Degrees=$tempVar * 180 / [Math]::PI}

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REBOL [
Title: "Trigonometric Functions"
URL: http://rosettacode.org/wiki/Trigonometric_Functions
]
radians: pi / 4 degrees: 45.0
; Unlike most languages, REBOL's trig functions work in degrees unless
; you specify differently.
print [sine/radians radians sine degrees]
print [cosine/radians radians cosine degrees]
print [tangent/radians radians tangent degrees]
d2r: func [
"Convert degrees to radians."
d [number!] "Degrees"
][d * pi / 180]
arcsin: arcsine sine degrees
print [d2r arcsin arcsin]
arccos: arccosine cosine degrees
print [d2r arccos arccos]
arctan: arctangent tangent degrees
print [d2r arctan arctan]

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-- 28 Jul 2025
include Settings
-- 24 Aug 2025
include Setting
say 'TRIGONOMETRIC FUNCTIONS'
say version