# Biorhythms

Biorhythms
You are encouraged to solve this task according to the task description, using any language you may know.

For a while in the late 70s, the pseudoscience of biorhythms was popular enough to rival astrology, with kiosks in malls that would give you your weekly printout. It was also a popular entry in "Things to Do with your Pocket Calculator" lists. You can read up on the history at Wikipedia, but the main takeaway is that unlike astrology, the math behind biorhythms is dead simple.

It's based on the number of days since your birth. The premise is that three cycles of unspecified provenance govern certain aspects of everyone's lives – specifically, how they're feeling physically, emotionally, and mentally. The best part is that not only do these cycles somehow have the same respective lengths for all humans of any age, gender, weight, genetic background, etc, but those lengths are an exact number of days. And the pattern is in each case a perfect sine curve. Absolutely miraculous!

To compute your biorhythmic profile for a given day, the first thing you need is the number of days between that day and your birth, so the answers in Days between dates are probably a good starting point. (Strictly speaking, the biorhythms start at 0 at the moment of your birth, so if you know time of day you can narrow things down further, but in general these operate at whole-day granularity.) Then take the residue of that day count modulo each of the the cycle lengths to calculate where the day falls on each of the three sinusoidal journeys.

The three cycles and their lengths are as follows:

Cycle Length
Physical 23 days
Emotional 28 days
Mental 33 days

The first half of each cycle is in "plus" territory, with a peak at the quarter-way point; the second half in "minus" territory, with a valley at the three-quarters mark. You can calculate a specific value between -1 and +1 for the kth day of an n-day cycle by computing sin( 2πk / n ). The days where a cycle crosses the axis in either direction are called "critical" days, although with a cycle value of 0 they're also said to be the most neutral, which seems contradictory.

The task: write a subroutine, function, or program that will, given a birthdate and a target date, output the three biorhythmic values for the day. You may optionally include a text description of the position and the trend (e.g. "up and rising", "peak", "up but falling", "critical", "down and falling", "valley", "down but rising"), an indication of the date on which the next notable event (peak, valley, or crossing) falls, or even a graph of the cycles around the target date. Demonstrate the functionality for dates of your choice.

Example run of my Raku implementation:

```raku br.raku 1943-03-09 1972-07-11
```
Output:
```Day 10717:
Physical day 22: -27% (down but rising, next transition 1972-07-12)
Emotional day 21: valley
Mental day 25: valley
```

Double valley! This was apparently not a good day for Mr. Fischer to begin a chess tournament...

## 11l

Translation of: Python
```F biorhythms(birthdate_str, targetdate_str)
‘
Print out biorhythm data for targetdate assuming you were
born on birthdate.

birthdate and targetdata are strings in this format:

YYYY-MM-DD e.g. 1964-12-26
’

print(‘Born: ’birthdate_str‘ Target: ’targetdate_str)

V birthdate = time:strptime(birthdate_str, ‘%Y-%m-%d’)
V targetdate = time:strptime(targetdate_str, ‘%Y-%m-%d’)

V days = (targetdate - birthdate).days()

print(‘Day: ’days)

V cycle_labels = [‘Physical’, ‘Emotional’, ‘Mental’]
V cycle_lengths = [23, 28, 33]
V quadrants = [(‘up and rising’, ‘peak’), (‘up but falling’, ‘transition’), (‘down and falling’, ‘valley’), (‘down but rising’, ‘transition’)]

L(i) 3
V label = cycle_labels[i]
V length = cycle_lengths[i]
V position = days % length
V quadrant = Int(floor((4 * position) / length))
V percentage = Int(round(100 * sin(2 * math:pi * position / length), 0))
V transition_date = (targetdate + TimeDelta(days' floor((quadrant + 1) / 4 * length) - position)).strftime(‘%Y-%m-%d’)

String description
I percentage > 95
description = ‘peak’
E I percentage < -95
description = ‘valley’
E I abs(percentage) < 5
description = ‘critical transition’
E
description = percentage‘% (’trend‘, next ’next‘ ’transition_date‘)’
print(label‘ day ’position‘: ’description)

biorhythms(‘2043-03-09’, ‘2072-07-11’)```
Output:
```Born: 2043-03-09 Target: 2072-07-11
Day: 10717
Physical day 22: -27% (down but rising, next transition 2072-07-12)
Emotional day 21: valley
Mental day 25: valley
```

## Amazing Hopper

Esta es mi versión de la tarea: en vez de mostrar cifras frías, es mejor un gráfico, aunque este sea en texto.

Hopper permite usar la opción de preprocesamiento especial "High level", que consiste en que todo lo encerrado entre "#( )" será escrito de la forma infija formal, con expresiones como "(2+3)*sin(PI)" y cosas parecidas. En la tarea presente, la cantidad de cálculos y su complejidad hacen meritorio usar esta opción del preprocesador, que no es muy óptima debido a que realiza un preprocesado general, pero salva.

Un preprocesamiento general hace que una línea como "a+b" sea convertida a "{a};{b};add", cuando lo óptimo sería "{a} plus(b)", porque en el segundo caso no es necesario pasar "b" a la pila de trabajo. la instrucción "plus" no trabaja con expresiones.

Las expresiones dentro de "#()" deben escribirse cuidando el uso de paréntesis y sin espacios en blanco en los nombres de variables.

```/* TASK: Bioritmo, Rosetta Code */

#include <jambo.h>

Main
Set break
Set stack 15

Get total args
If ( Is equal to '7' )
/* argumentos del programa*/

nombre="", año=0, mes=0, día=0, año a examinar=0, mes a examinar=0

Set ' Arg str(2), Arg num(3) Arg num(4), Arg num(5) ', Move to 'nombre, año, mes, día'
Set ' Arg num(6), Arg num(7) ',                        Move to 'mes a examinar, año a examinar'

/* arrays de valores constantes */
Void ' Etiquetas, Meses, Factores '

/* otras variables utilitarias */
b=año, g=año a examinar, l=g, r=0

/* programa */
Gosub 'Configuración del programa'
Gosub 'Construcción del bioritmo'
Locate (22, 1), Prnl
Else
Printnl ("Modo de uso: hopper bioritmo.jambo NOMBRE DD MM AA MME AAE")
Printnl (Utf8("donde DD,MM,AA fecha de nacimiento, MME, AAE mes y año a examinar"))
End If

End

Subrutines

Define 'Construcción del bioritmo'
ak=0, b1=0, y=0

Loop

Gosub 'Análisis de año bisiesto'

Let ( ak := #( Factores[mes]+28.5-día ) )
++mes
x=12
When ( #( mes < 13 ) ){ Set 'ak,x', Let( ak := Gosub 'Cálculo' ) }

Let ( b1 := #( g-b-1 ) )

Set decimal '0'
Let ( ak := #( (b1*365+((g-1)/4)-((g-1)/100)+((g-1)/400)-((b/4)-(b/100)+(b/400))+ak) ) )
Unset decimal

y = ak
Let (b := g)

Gosub 'Análisis de año bisiesto'

Let ( x := #( mesaexaminar - 1 ) )
Let ( mes := 1 )
If ( #( x <> 0 ) )
Set 'ak, x', Let( ak := Gosub 'Cálculo' )
y = ak
End If

Cls
Set 'ak, y', Gosub 'Desplegar la malla'
Pause
++mes a examinar
Until ( #( mesaexaminar == 13 ) )
Return

Define 'Desplegar la malla, ak, y'
i=4, j=0, i1=1, fi=3

Loop
Set 'i, i1, fi', Gosub 'Genera la malla'
Set 'i, fi, i1', Gosub 'Escribe la identificación'
Set 'ak, i, fi', Gosub 'Despliega el bioritmo'
i += 34
Let ( ak := y )
++i1
++j
Until ( #( j == 3 ) )

Return

Define 'Genera la malla, i, i1, fi'
j1=4, j2=0, ti=i, i2=0

Let ( r := Get if( Equals( i1,1 ), 23, Get if( Equals( i1,2 ), 28, 33) ) )

Loop
Let ( j2 := Add( 4, i ) )

Loop if ( #( j2 < ( (27+Factores[mesaexaminar])+i) ) )
Locate ( #(j1+fi), j2 ), Printnl (" |")
j2 += 5
Back

Locate ( #(j1+fi), #( 28+(Factores[mesaexaminar])+i) ), Printnl ("| ")
++j1
Until ( #( j1 > 13 ) )

Let ( i := ti )
i2 = ti
j2 = 1

Loop if ( #( j2 < ((27 + Factores[mesaexaminar] )+1) ) )
Locate ( #(8+fi), #(i2+1) ), Printnl ("-")
++i2, ++j2
Back

Locate ( #(8+fi), #(5+i) ), Printnl ( "+" )
Loccol ( #(10+i) ),         Printnl ( "+" )
Loccol ( #(15+i) ),         Printnl ( "+" )
Loccol ( #(20+i) ),         Printnl ( "+" )
Loccol ( #(25+i) ),         Printnl ( "+" )

Locate ( #(14+fi), #(1+i) ), Printnl ( "1...5...10...15...20...25..." )

If ( #( (28+Factores[mesaexaminar]) == 29 ) )
Locate ( #(14+fi), #(29+i) ), Printnl ( "." )
Else If ( #( (28+ Factores[mesaexaminar]) == 30 ) )
Locate ( #(14+fi), #(29+i) ), Printnl ( "30" )
Locate ( #(8+fi), #(30+i) ),  Printnl ( "+" )
Else If ( #( (28+Factores[mesaexaminar]) == 31 ) )
Locate ( #(14+fi), #(29+i) ), Printnl ( "30." )
Locate ( #(8+fi), #(30+i) ),  Printnl ( "+" )
End If

Return

Define 'Escribe la identificación, i, fi, i1'
Locate ( #(16+fi), #(1+i) ), Printnl ( #( Meses[mesaexaminar] ), " ", Int(l), " D. de C." )
Locrow ( #(17+fi) ),         Printnl ( "Bioritmo para ", nombre )
Locrow ( #(18+fi) ),         Printnl ( "Estado: ", #( Etiquetas[i1] ) )
Return

Define 'Despliega el bioritmo, ak, i, fi'
n=0, j=0
PI = M_PI

Loop if( #( j < ( (28 + Factores[mesaexaminar]) * 2 ) ) )
Let ( ak := #( ak + 0.5 ) )
Let ( n := #( (10 * ( -(sin( ( 2 * PI * ak ) / r ) ) ) ) + 17 ) )

If ( #( (int( int( j / 2 )-(( int( j / 2) / 5) * 5))) == 5 ) )
Locate ( #( int( n / 2 ) + fi ), #( int( j / 2 ) + ( i + 1 )) )
Else
Locate ( #( (n / 2 ) + fi ), #( ( j / 2 ) + ( i + 1 ) ) )
End If
Printnl ("*")
++j
Back

Return

Define 'Análisis de año bisiesto'
x1=0, x2=0, x3=0
/* "b" es variable global */
Let ( x1 := Get if ( #( b - ( int( b / 4 ) * 4 ) == 0 ), 1, 0 ))
Let ( x2 := Get if ( #( b - ( int( b / 100 ) * 100 ) == 0 ), 1, 0 ))
Let ( x3 := Get if ( #( b - ( int( b / 400 ) * 400 ) == 0 ), 1, 0 ))
[2] #( x1 - x2 + x3 ), Put 'Factores'
Return

Define 'Cálculo, ak,x'
i = mes
Loop if( #(i <= x) )
Let ( ak := #( 28 + Factores[i] + ak ) )
++i
Back
Return 'ak'

/* CONFIGURACION DEL PROGRAMA */

Define ' Configuración del programa '
Set ' Utf8("Físico"), "Emocional", "Intelectual" '                      Apnd list 'Etiquetas'
Set ' "Enero", "Febrero", "Marzo", "Abril", "Mayo", "Junio", "Julio", \
"Agosto", "Septiembre", "Octubre", "Noviembre", "Diciembre" '     Apnd list 'Meses'
Set ' 3, 0, 3, 2, 3, 2, 3, 3, 2, 3, 2, 3 '                              Apnd list 'Factores'
Return```
Output:
```\$ hopper jm/bioritmo.jambo
Modo de uso: hopper bioritmo.jambo NOMBRE DD MM AA MME AAE
donde DD,MM,AA fecha de nacimiento, MME, AAE mes y año a examinar

\$ hopper jm/bioritmo.jambo Mr.Dalien 18 1 1980 1 2022
***                    **                       *****    ****
|    **   **   |    |    ||     **|    |    |    |    **   |*      **    |    |    |    |    |*
|   **    |**  |    |    ||      **    |    |    |   *|    ||       |**  |    |    |    |   **|
|   *|    | *  |    |    ||       **   |    |    |  * |    ||       | ** |    |    |    |  **||
|  * |    |  * |    |    |*       |**  |    |    | *  |    ||       |  **|    |    |    | ** ||
----+-*--+----+---*+----+----*|   ----+-*--+----+----+*---+----+|   ----+---**----+----+----+**--+|
|**  |    |   **    |   **|       |  * |    |    **   |    ||       |    |*   |    |    *    ||
|*   |    |    *    |   *||       |   *|    |   **    |    ||       |    | *  |    |   *|    ||
*    |    |    |*   |  * ||       |    *    |  **|    |    ||       |    |  **|    | ** |    ||
**|    |    |    | ** |**  ||       |    |**  | ** |    |    ||       |    |   **    |**  |    ||
*** |    |    |    |  ****   ||       |    | *****   |    |    ||       |    |    |*****    |    ||
1...5...10...15...20...25...30.   1...5...10...15...20...25...30.   1...5...10...15...20...25...30.

Enero 2022 D. de C.               Enero 2022 D. de C.               Enero 2022 D. de C.
Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien

***                    **                            *****       ******
** | ** |    |    |    ** |      *   |    |    |    | ** |  *      *   |**  |    |    |    |  |
**  |  **|    |    |   **  |      **  |    |    |    |*   |  |          |  **|    |    |    |  |
*   |   *|    |    |   *|  |       ** |    |    |    *    |  |          |   **    |    |    |  |
|    *    |    |  * |  |        **|    |    |   *|    |  |          |    **   |    |    |  |
----+----+*---+----+-*--+--|      ---*+----+----+--*-+----+--|      ----+----+**--+----+----+--*
|    |**  |    |**  |  |          *    |    | ** |    |  |          |    |  * |    |    | *|
|    | *  |    |*   |  |          |*   |    |**  |    |  |          |    |   *|    |    |* |
|    |  * |    *    |  |          | *  |    **   |    |  |          |    |    **   |   **  |
|    |   **  **|    |  |          |  **|   **    |    |  |          |    |    |**  |  **|  |
|    |    **** |    |  |          |   ***** |    |    |  |          |    |    |  *****  |  |
1...5...10...15...20...25...      1...5...10...15...20...25...      1...5...10...15...20...25...

Febrero 2022 D. de C.             Febrero 2022 D. de C.             Febrero 2022 D. de C.
Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien

....
***                    **                    *****                      ******
**   **   |    |    |  **||       |    |    | ** |  **|    ||       |    **   |**  |    |    ||
**    |**  |    |    | ** ||       |    |    |*   |   **    ||       |  **|    |  **|    |    ||
*|    | *  |    |    | *  ||       |    |    *    |    **   ||       | ** |    |   **    |    ||
* |    |  * |    |    |*   ||       |    |   *|    |    |**  ||       |**  |    |    **   |    ||
-*--+----+---*+----+----*----+|   ----+----+--*-+----+----+-*--+|   ----**---+----+----+**--+----+|
**  |    |   **    |   **    ||       |    | ** |    |    |  * ||      *|    |    |    |  * |    ||
*   |    |    *    |   *|    ||   *   |    |**  |    |    |   *||     * |    |    |    |   *|    ||
|    |    |*   |  * |    ||    *  |    **   |    |    |    *|   **  |    |    |    |    **   ||
|    |    | ** |**  |    ||     **|   **    |    |    |    |*   *   |    |    |    |    |**  ||
|    |    |  ****   |    ||      ***** |    |    |    |    ||       |    |    |    |    |  ****
1...5...10...15...20...25...30.   1...5...10...15...20...25...30.   1...5...10...15...20...25...30.

Mayo 2022 D. de C.                Mayo 2022 D. de C.                Mayo 2022 D. de C.
Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien

....

***                    *     *****                       *                            ******
**   **   |    |    |  **|    **  | ** |    |    |    |   **        |    |    |    |   **    *
**    |**  |    |    | ** |        |  **|    |    |    |  * |        |    |    |    | ** |    |
*|    | *  |    |    | *  |        |   **    |    |    | *  |    *   |    |    |    |**  |    |
* |    |  * |    |    |*   |        |    **   |    |    |*   |    **  |    |    |    **   |    |
-*--+----+---*+----+----*----+    ----+----+*---+----+----*----+    -**-+----+----+---**----+----+
**  |    |   **    |   **    |        |    | *  |    |   **    |       *|    |    |  * |    |    |
*   |    |    *    |   *|    |        |    |  * |    |  **|    |        *    |    | *  |    |    |
|    |    |*   |  * |    |        |    |   *|    | ** |    |        |**  |    **   |    |    |
|    |    | ** |**  |    |        |    |    **   |**  |    |        | ** |   **    |    |    |
|    |    |  ****   |    |        |    |    |*****    |    |        |   ***** |    |    |    |
1...5...10...15...20...25...30    1...5...10...15...20...25...30    1...5...10...15...20...25...30

Noviembre 2022 D. de C.           Noviembre 2022 D. de C.           Noviembre 2022 D. de C.
Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien

**                    ***         ****                       ****                              ****
**|    |    |    |**  |**  ||       **   |    |    |    | ** ||   *   |    |    |    |    | ** ||
**    |    |    **   | ** ||       |**  |    |    |    |*   ||    ** |    |    |    |    **   ||
*    |    |    *    |  * ||       | ** |    |    |    *    ||     **|    |    |    |   **    ||
|*   |    |   *|    |   *||       |  **|    |    |   *|    ||      **    |    |    |  **|    ||
----+-*--+----+--*-+----+----*|   ----+---*+----+----+--*-+----+|   ----**---+----+----+-**-+----+|
| ** |    | ** |    |    **       |    *    |    | ** |    ||       | *  |    |    |*   |    ||
|  * |    | *  |    |    |*       |    |*   |    |**  |    ||       |  * |    |    *    |    ||
|   *|    |*   |    |    ||       |    | *  |    **   |    ||       |   **    |  **|    |    ||
|    **  **    |    |    ||       |    |  **|   **    |    ||       |    **   | ** |    |    ||
|    |****|    |    |    ||       |    |   ***** |    |    ||       |    | *****   |    |    ||
1...5...10...15...20...25...30.   1...5...10...15...20...25...30.   1...5...10...15...20...25...30.

Diciembre 2022 D. de C.           Diciembre 2022 D. de C.           Diciembre 2022 D. de C.
Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien           Bioritmo para Mr.Dalien

```

## C

Translation of: Locomotive Basic
```#include <stdio.h>
#include <stdlib.h>
#include <math.h>

int day(int y, int m, int d) {
return 367 * y - 7 * (y + (m + 9) / 12) / 4 + 275 * m / 9 + d - 730530;
}

void cycle(int diff, int l, char *t) {
int p = round(100 * sin(2 * M_PI * diff / l));
printf("%12s cycle: %3i%%", t, p);
if (abs(p) < 15)
printf(" (critical day)");
printf("\n");
}

int main(int argc, char *argv[]) {
int diff;

if (argc < 7) {
printf("Usage:\n");
printf("cbio y1 m1 d1 y2 m2 d2\n");
exit(1);
}
diff = abs(day(atoi(argv[1]), atoi(argv[2]), atoi(argv[3]))
- day(atoi(argv[4]), atoi(argv[5]), atoi(argv[6])));
printf("Age: %u days\n", diff);
cycle(diff, 23, "Physical");
cycle(diff, 28, "Emotional");
cycle(diff, 33, "Intellectual");
}
```

Test:

```gcc -o cbio cbio.c -lm
./cbio 1972 7 11 1943 3 9
Age: 10717 days
Physical cycle: -27%
Emotional cycle: -100%
```

Intellectual cycle: -100%</syntaxhighlight>

## C++

```#include <chrono>
#include <cmath>
#include <cstdint>
#include <iostream>
#include <numbers>
#include <sstream>
#include <string>
#include <vector>

const double tau = 2 * std::numbers::pi;
const std::vector<std::string> cycles { "PHYSICAL", "EMOTIONAL", "MENTAL" };
const std::vector<std::int32_t> cycle_lengths { 23, 28, 33 };
const std::vector<std::vector<std::string>> descriptions { { "up and rising", "peak" },
{ "up but falling", "transition" },
{ "down and falling", "valley" },
{ "down but rising", "transition" } };

std::string to_string(const std::chrono::sys_days& sys_date) {
std::stringstream stream;
stream << sys_date;
std::string iso_date;
stream >> iso_date;
return iso_date;
}

std::chrono::sys_days create_date(const std::string& iso_date) {
const int year = std::stoi(iso_date.substr(0, 4));
const unsigned int month = std::stoi(iso_date.substr(5, 7));
const unsigned int day = std::stoi(iso_date.substr(8, 10));

std::chrono::year_month_day date{std::chrono::year{year}, std::chrono::month{month}, std::chrono::day{day}};
return std::chrono::sys_days(date);
}

void biorhythms(const std::vector<std::string>& date_pair) {
std::chrono::sys_days birth_date = create_date(date_pair[0]);
std::chrono::sys_days target_date = create_date(date_pair[1]);
int32_t days_between = ( target_date - birth_date ).count();
std::cout << "Birth date " << birth_date << ", Target date " << target_date << std::endl;
std::cout << "Days between: " << days_between << std::endl;

for ( int32_t i = 0; i < 3; ++i ) {
const int32_t cycle_length = cycle_lengths[i];
const int32_t position_in_cycle = days_between % cycle_length;
const int32_t quadrant_index = 4 * position_in_cycle / cycle_length;
const int32_t percentage = round(100 * sin(tau * position_in_cycle / cycle_length));

std::string description;
if ( percentage > 95 ) {
description = "peak";
} else if ( percentage < -95 ) {
description = "valley";
} else if ( abs(percentage) < 5 ) {
description = "critical transition";
} else {
const int32_t days_to_transition = ( cycle_length * ( quadrant_index + 1 ) / 4 ) - position_in_cycle;
std::chrono::sys_days transition_date = target_date + std::chrono::days{days_to_transition};
std::string trend = descriptions[quadrant_index][0];
std::string next_transition = descriptions[quadrant_index][1];
description = std::to_string(percentage) + "% (" + trend + ", next " + next_transition
+ " " + to_string(transition_date) + ")";
}

std::cout << cycles[i] << " day " << position_in_cycle  << ": " << description << std::endl;
}
std::cout << std::endl;
}

int main() {
const std::vector<std::vector<std::string>> date_pairs = {
{ "1943-03-09", "1972-07-11" },
{ "1809-01-12", "1863-11-19" },
{ "1809-02-12", "1863-11-19" } };

for ( const std::vector<std::string>& date_pair : date_pairs ) {
biorhythms(date_pair);
}
}
```
Output:
```Birth date 1943-03-09, Target date 1972-07-11
Days between: 10717
PHYSICAL day 22: -27% (down but rising, next transition 1972-07-12)
EMOTIONAL day 21: valley
MENTAL day 25: valley

Birth date 1809-01-12, Target date 1863-11-19
Days between: 20034
PHYSICAL day 1: 27% (up and rising, next peak 1863-11-23)
EMOTIONAL day 14: critical transition
MENTAL day 3: 54% (up and rising, next peak 1863-11-24)

Birth date 1809-02-12, Target date 1863-11-19
Days between: 20003
PHYSICAL day 16: -94% (down and falling, next valley 1863-11-20)
EMOTIONAL day 11: 62% (up but falling, next transition 1863-11-22)
MENTAL day 5: 81% (up and rising, next peak 1863-11-22)
```

## COBOL

Translation of: Locomotive Basic
```

identification division.
program-id.             bio.
environment division.
*************************************************************
**** To execute on command line enter program name followed
**** by birth date ccyymmdd and then target date.
**** Example: bio 18090102 18631117
**** Will display the three cycles:
**** Physcial 23 days, Emotional 28 days, Mental 33 days
**** for that date.
****
*************************************************************
configuration section.
source-computer.
System76
*           with debugging mode
.
repository.
function all intrinsic.

data division.
working-storage section.
01 w-d1                                              pic x(08).
01 w-d2                                              pic x(08).
01 n-d1                                              pic 9(08).
01 n-d2                                              pic 9(08).
01 w-i1                                       comp-x pic x(04).
01 w-i2                                       comp-x pic x(04).
01 w-days                                            pic 9(07).
01 arg-knt                                    comp-5 pic x(01).
01 bx                                       pic 9.
01 bio-tbl  value 'Physical 23Emotional28Mental   33'.
05  bio-entry  occurs 3 times.
10  bio-cyc                     pic x(09).
10  bio-lth                     pic 9(02).
01 bio-data occurs 3 times.
05  bio-mod                              pic 9(02).
05  bio-sin                              pic s999v9.
05  bio-dsc                              pic x(09).

procedure division.
accept arg-knt from argument-number
if arg-knt <> 2
then
display 'two arguments are required:' upon SYSERR
display ' 1. first  date ccyymmdd'    upon SYSERR
display ' 2. second date ccyymmdd'    upon SYSERR
stop run returning -1
end-if
accept w-d1 from argument-value
if  w-d1 not numeric
display ' first date not numeric ' upon syserr
move 2 to return-code
stop run
end-if
move w-d1 to n-d1
if  (n-d1 > 99991231)
display ' first date must be less than 99991232'
upon syserr
move 3 to return-code
stop run
end-if
if  (n-d1 < 16010101)
display ' first date must be greater than 16010100'
upon syserr
move 4 to return-code
stop run
end-if
if  ((n-d1(5:2) = '00')
or
(n-d1(5:2) > '12'))
display ' invalid month for first date ' upon syserr
move 5 to return-code
stop run
end-if
if  ((n-d1(7:2) = '00')
or
(n-d1(7:2) > '31'))
display ' invalid day for first date ' upon syserr
move 6 to return-code
stop run
end-if
accept w-d2 from argument-value
if  w-d2 not numeric
display 'second date not numeric ' upon syserr
move 12 to return-code
stop run
end-if
move w-d2 to n-d2
if  (n-d2 > 99991231)
display ' second date must be less than 99991232'
upon syserr
move 13 to return-code
stop run
end-if
if  (n-d2 < 16010101)
display ' second date must be greater than 16010100'
upon syserr
move 14 to return-code
stop run
end-if
if  ((n-d2(5:2) = '00')
or
(n-d2(5:2) > '12'))
display ' invalid month for second date ' upon syserr
move 15 to return-code
stop run
end-if
if  ((n-d2(7:2) = '00')
or
(n-d2(7:2) > '31'))
display ' invalid day for second date ' upon syserr
move 16 to return-code
stop run
end-if
move w-d1 to n-d1
move w-d2 to n-d2
move integer-of-date(n-d1) to w-i1
move integer-of-date(n-d2) to w-i2
compute w-days = w-i1 - w-i2
display w-days
perform  varying  bx from 1 by 1 until bx greater than 3
move mod(w-days, bio-lth(bx)) to bio-mod(bx)
compute bio-sin(bx) rounded
= 100 * sin(2 * PI * bio-mod(bx) / bio-lth(bx))
end-compute
display bio-cyc(bx) " "
bio-mod(bx) ":"
bio-sin(bx) "%" with no advancing
end-display
if  bio-sin(bx) > 95
move  " peak" to bio-dsc(bx)
end-if
if  bio-sin(bx) < -95
move  " valley" to bio-dsc(bx)
end-if
if  abs(bio-sin(bx)) < 5
move " critical" to bio-dsc(bx)
end-if
display bio-dsc(bx)
end-perform
move 0 to return-code
goback
.
```

Test:

```Compile and Test
C:\GnuCOBOL>
C:\GnuCOBOL>cobc -x bio.cbl

C:\GnuCOBOL>bio 18090112 18631119
0020034
Physical  01:+027.0%
Emotional 14:+000.0% critical
Mental    03:+054.1%
```

## Common Lisp

Translation of: Locomotive Basic
```;;;; Common Lisp biorhythms

;;; Get the days to J2000
;;; FNday only works between 1901 to 2099 - see Meeus chapter 7

(defun day (y m d)
(+ (truncate (* -7 (+ y (truncate (+ m 9) 12))) 4)
(truncate (* 275 m) 9) d -730530 (* 367 y)))

;;; Get the difference in days between two dates

(defun diffday (y1 m1 d1 y2 m2 d2)
(abs (- (day y2 m2 d2) (day y1 m1 d1))))

;;; Print state of a single cycle

(defun print-cycle (diff len nm)
(let ((perc (round (* 100 (sin (* 2 pi diff (/ 1 len)))))))
(format t "~A cycle: ~D% " nm perc)
(if (< (abs perc) 15)
(format t "(critical)~%")
(format t "~%"))))

;;; Print all cycles

(defun print-bio (y1 m1 d1 y2 m2 d2)
(let ((diff (diffday y1 m1 d1 y2 m2 d2)))
(format t "Age in days: ~D ~%" diff)
(print-cycle diff 23 "physical")
(print-cycle diff 28 "emotional")
(print-cycle diff 33 "intellectual")))
```
Output:
```* (print-bio 1972 7 11 1943 3 9)
Age in days: 10717
physical cycle: -27%
emotional cycle: -100%
intellectual cycle: -100% ```

## Delphi

Library: System.Math
Translation of: Go
```program Biorhythms;

{\$APPTYPE CONSOLE}

uses
System.SysUtils,
System.Math;

var
cycles: array[0..2] of string = ('Physical day ', 'Emotional day', 'Mental day   ');
lengths: array[0..2] of Integer = (23, 28, 33);
quadrants: array[0..3] of array[0..1] of string = (('up and rising', 'peak'),
('up but falling', 'transition'), ('down and falling', 'valley'), ('down but rising',
'transition'));
datePairs: array[0..2] of array[0..1] of string = (('1943-03-09', '1972-07-11'),
('1809-01-12', '1863-11-19'), ('1809-02-12', '1863-11-19') // correct DOB for Abraham Lincoln
);

procedure Check(err: string);
begin
if not err.IsEmpty then
raise Exception.Create(err);
end;

function ParseDate(sDate: string; var Date: TDateTime): string;
var
dtFormat: TFormatSettings;
begin
Result := '';
with dtFormat do
begin
DateSeparator := '-';
ShortDateFormat := 'yyyy-mm-dd';
end;

try
Date := StrtoDateTime(sDate, dtFormat);
except
on E: Exception do
Result := E.Message;
end;
end;

function DateToStr(dt: TDateTime): string;
var
dtFormat: TFormatSettings;
begin
Result := '';
with dtFormat do
begin
DateSeparator := '-';
ShortDateFormat := 'yyyy-mm-dd';
end;
Result := DateTimeToStr(dt, dtFormat);
end;

// Parameters assumed to be in YYYY-MM-DD format.
procedure CalcBiorhythms(birthDate, targetDate: string);
var
bd, td: TDateTime;
days: Integer;
begin
Check(ParseDate(birthDate, bd));
Check(ParseDate(targetDate, td));
days := Trunc(td - bd);
writeln('Born ', birthDate, ', Target ', targetDate);
Writeln('Days ', days);
for var i := 0 to 2 do
begin
var len := lengths[i];
var cycle := cycles[i];
var position := days mod len;
var quadrant: Integer := trunc(position * 4 / len);
var percent := sin(2.0 * PI * position / len);

percent := floor(percent * 1000) / 10;
var descript := '';
if percent > 95 then
descript := ' peak'
else if percent < -95 then
descript := ' valley'
else if abs(percent) < 5 then
descript := ' critical transition'
else
begin
var daysToAdd := trunc((quadrant + 1) * len / 4 - position);
var transition := td + daysToAdd;
var transStr := DateToStr(transition);
var percentRounded := percent;
descript := format('%5.3f%% (%s, next %s %s)', [percentRounded, trend,
next, transStr]);
end;
writeln(format('%s %2d : %s', [cycle, position, descript]));
end;
writeln;
end;

begin
for var i := 0 to High(datePairs) do
CalcBiorhythms(datePairs[i, 0], datePairs[i, 1]);
end.
```

## EasyLang

```birth\$ = "1943-03-09"
date\$ = "1972-07-11"
# date\$ = substr timestr systime 1 10
#
func day d\$ .
y = number substr d\$ 1 4
m = number substr d\$ 6 2
d = number substr d\$ 9 2
return 367 * y - 7 * (y + (m + 9) div 12) div 4 + 275 * m div 9 + d - 730530
.
textsize 4
func init b\$ d\$ .
linewidth 0.2
move 50 0
line 50 100
move 0 50
line 100 50
for d = -20 to 20
move x 50
circle 0.5
x += 2.5
.
move 4 94
text b\$
move 4 88
text d\$
days = day date\$ - day birth\$
move 4 80
text days & " days"
return days
.
proc cycle now cyc t\$ col . .
color col
move 4 cyc * 1.2 - 20
text t\$
linewidth 0.5
for d = now - 20 to now + 20
p = 20 * sin (360 * d / cyc)
line x 50 + p
x += 2.5
.
.
days = init birth\$ date\$
cycle days 23 "Physical" 900
cycle days 28 "Emotional" 090
cycle days 33 "Intellectual" 009```

## Emacs Lisp

For Emacs, it makes sense to implement this as an interactive command which is personalized to the user's birthdate and computes the biorhythm for today. So if you put this code into your .emacs file (note that the birthdate has to be in MDY order in Emacs!):

```(require 'calendar)

(setq biorhythm-birthdate '(3 16 1953))

(defun biorhythm ()
"Show today's biorhythm."
(interactive)
(let* ((diff (abs (- (string-to-number (calendar-astro-date-string
biorhythm-birthdate)) (string-to-number
(calendar-astro-date-string)))))
(rhyt '(23 28 33))
(perc (mapcar (lambda (x) (round (* 100 (sin
(* 2 pi diff (/ 1.0 x)))))) rhyt)))
(message "age: %i  physical: %i%%  emotional: %i%%  intellectual: %i%%"
diff (car perc) (cadr perc) (caddr perc))))
```

Then typing "M-x biorhythm" will produce this output in the Emacs echo area on 2022-04-21:

```age: 25238  physical: 94%  emotional: 78%  intellectual: -97%
```

## Factor

```USING: calendar calendar.parser formatting io kernel math
math.constants math.functions ;

: days-between ( ymd-str ymd-str -- n )
[ ymd>timestamp ] bi@ time- duration>days abs ;

: trend ( pos len -- str ) / 4 * floor 3 divisor? "↑" "↓" ? ;

: percent ( pos len -- x ) [ 2pi * ] [ / sin 100 * ] bi* ;

: .day ( days cycle-length day-type -- )
write [ mod ] keep [ drop ] [ percent ] [ trend ] 2tri
" day %d: %.1f%%%s\n" printf ;

: .biorhythm ( ymd-str ymd-str -- )
2dup "Born %s, Target %s\n" printf days-between dup
"Day %d\n" printf
[ 23 "Physical" .day ]
[ 28 "Emotional" .day ]
[ 33 "Mental" .day ] tri ;

"1809-02-12" "1863-11-19" .biorhythm
```
Output:
```Born 1809-02-12, Target 1863-11-19
Day 20003
Physical day 16: -94.2%↓
Emotional day 11: 62.3%↓
Mental day 5: 81.5%↑
```

## FOCAL

Translation of: Locomotive Basic
```1.01 T "Enter birthdate (y,m,d)",!
1.03 D 2; S BZ=Z
1.04 T "Enter today's date (y,m,d)",!
1.06 D 2; S DI=Z - BZ
1.07 T %6,"Age in days", DI,!
1.08 T "Physical cycle:     "
1.09 S L=23; D 3
1.10 T "Emotional cycle:    "
1.11 S L=28; D 3
1.12 T "Intellectual cycle: "
1.13 S L=33; D 3
1.14 Q

2.1 S QA = FITR((M + 9) / 12)
2.2 S QB = FITR(275 * M / 9)
2.3 S QC = FITR(7 * (Y + QA) / 4)
2.4 S Z = 367 * Y - QC + QB + D - 730530

3.1 S P = 100 * FSIN(2*3.1415926536*DI/L)
3.2 T %3,P,"%"
3.3 I (FABS(P)-15)4.1,5.1,5.1

4.1 T "  CRITICAL",!

5.1 T !```
Output:
```*G
Enter birthdate (y,m,d)
:1943,:3,:9
Enter today's date (y,m,d)
:1972,:7,:11
Age in days=  10717
Physical cycle:     =- 27%
Emotional cycle:    =-100%
Intellectual cycle: =-100%```

## Fortran

```C     ------------------------------------------------------------------
PROGRAM BIORHYTHM
C     ------------------------------------------------------------------
DOUBLE PRECISION GETJD
CHARACTER*3 DOW

DOUBLE PRECISION JD0, JD1, JD2, PI2, DIF

INTEGER BYEAR, BMON, BDAY, TYEAR, TMON, TDAY
INTEGER I, J, PHY, EMO, MEN, NDAY, DNUM, YR, DOY
CHARACTER*3 DNAME
CHARACTER*1 GRID, ROW(65)
C     ------------------------------------------------------------------

PI2 = ACOS(-1.0D0)*2.0D0

WRITE(*,*) 'ENTER YOUR BIRTHDAY YYYY MM DD'
READ(*,*) BYEAR, BMON, BDAY

WRITE(*,*) 'ENTER START DATE YYYY MM DD'
READ(*,*) TYEAR, TMON, TDAY

WRITE(*,*) 'ENTER NUMBER OF DAYS TO PLOT'

JD0 = GETJD( TYEAR, 1,  1 )
JD1 = GETJD( BYEAR, BMON, BDAY )
JD2 = GETJD( TYEAR, TMON, TDAY )

WRITE(*,1010)
WRITE(*,1000) DOW(JD1), INT( JD2-JD1 )
WRITE(*,1010)
WRITE(*,1020)
DO I=1,NDAY
DIF = JD2 - JD1
PHY = INT(3.3D1+3.2D1*SIN( PI2 * DIF / 2.3D1 ))
EMO = INT(3.3D1+3.2D1*SIN( PI2 * DIF / 2.8D1 ))
MEN = INT(3.3D1+3.2D1*SIN( PI2 * DIF / 3.3D1 ))

IF ( PHY.LT.1  ) PHY = 1
IF ( EMO.LT.1  ) EMO = 1
IF ( MEN.LT.1  ) MEN = 1
IF ( PHY.GT.65 ) PHY = 65
IF ( EMO.GT.65 ) EMO = 65
IF ( MEN.GT.65 ) MEN = 65

DNAME = DOW(JD2)
DOY = INT(JD2-JD0)+1
IF ( DNAME.EQ.'SUN' ) THEN
GRID = '.'
ELSE
GRID = ' '
END IF
DO J=1,65
ROW(J) = GRID
END DO
ROW(1)  = '|'
ROW(17) = ':'
ROW(33) = '|'
ROW(49) = ':'
ROW(65) = '|'
ROW(PHY) = 'P'
ROW(EMO) = 'E'
ROW(MEN) = 'M'
IF ( PHY.EQ.EMO ) ROW(PHY) = '*'
IF ( PHY.EQ.MEN ) ROW(PHY) = '*'
IF ( EMO.EQ.MEN ) ROW(EMO) = '*'
WRITE(*,1030) ROW,DNAME,DOY
JD2 = JD2 + 1.0D0
END DO
WRITE(*,1010)

C     ------------------------------------------------------------------

1000 FORMAT( 'YOU WERE BORN ON A (', A3, ') YOU WERE ',I0,
\$        ' DAYS OLD AT THE START.' )
1010 FORMAT( 75('=') )
1020 FORMAT( '-1',31X,'0',30X,'+1     DOY' )
1030 FORMAT( 1X,65A1, 1X, A3, 1X, I3 )

STOP
END

C     ------------------------------------------------------------------
FUNCTION DOW( JD )
C     ------------------------------------------------------------------
C     RETURN THE ABBREVIATION FOR THE DAY OF THE WEEK
C     JD  JULIAN DATE - GREATER THAN 1721423.5 (JAN 1, 0001 SATURDAY)
C     ------------------------------------------------------------------
DOUBLE PRECISION JD
INTEGER IDX
CHARACTER*3 DOW, NAMES(7)
DATA NAMES/'SAT','SUN','MON','TUE','WED','THR','FRI'/

IDX = INT(MODULO(JD-1.721423500D6,7.0D0)+1)

DOW = NAMES(IDX)
RETURN
END

C     ------------------------------------------------------------------
FUNCTION ISGREG( Y, M, D )
C     ------------------------------------------------------------------
C     IS THIS DATE ON IN THE GREGORIAN CALENDAR
C     DATES BEFORE OCT  5 1582 ARE JULIAN
C     DATES AFTER  OCT 14 1582 ARE GREGORIAN
C     DATES OCT 5-14 1582 INCLUSIVE DO NOT EXIST
C     ------------------------------------------------------------------
C     YEAR    1-ANYTHING
C     MONTH   1-12
C     DAY     1-31
C     ------------------------------------------------------------------
LOGICAL ISGREG
INTEGER Y, M, D
C     ------------------------------------------------------------------
ISGREG=.TRUE.
IF ( Y.LT.1582 ) GOTO 888
IF ( Y.GT.1582 ) GOTO 999
IF ( M.LT.10 )   GOTO 888
IF ( M.GT.10 )   GOTO 999
IF ( D.LT.5 )    GOTO 888
IF ( D.GT.14 )   GOTO 999

WRITE(*,*) Y,M,D,' DOES NOT EXIST'
GOTO 999

888  CONTINUE
ISGREG=.FALSE.
999  CONTINUE
RETURN
END

C     ------------------------------------------------------------------
FUNCTION GETJD( YEAR, MONTH, DAY )
C     ------------------------------------------------------------------
C     RETURN THE JULIAN DATE
C     YEAR    1-ANYTHING
C     MONTH   1-12
C     DAY     1-31
C     ------------------------------------------------------------------
DOUBLE PRECISION GETJD
INTEGER YEAR, MONTH, DAY
INTEGER Y, M, D, A, B, P1, P2
C     ------------------------------------------------------------------
DOUBLE PRECISION TEMP
LOGICAL ISGREG, IG

IG = ISGREG( YEAR, MONTH, DAY )
Y  = YEAR
M  = MONTH
D  = DAY

IF (M.LT.3) THEN
Y = Y - 1
M = M + 12
ENDIF

IF (IG) THEN
A =         FLOOR( DBLE(Y) * 1.0D-2 )
B = 2 - A + FLOOR( DBLE(A) * 2.5D-1 )
ELSE
A = 0
B = 0
ENDIF

P1 = FLOOR( 3.65250D2 * DBLE(Y + 4716) )
P2 = FLOOR( 3.06001D1 * DBLE(M + 1) )

GETJD = DBLE(P1 + P2 + D + B) - 1.5245D3

RETURN
END
```
Input:
``` ENTER YOUR BIRTHDAY YYYY MM DD
1992 4 10
ENTER START DATE YYYY MM DD
2021 02 14
ENTER NUMBER OF DAYS TO PLOT
40```
Output:
```===========================================================================
YOU WERE BORN ON A (FRI) YOU WERE 10537 DAYS OLD AT THE START.
===========================================================================
-1                               0                              +1     DOY
|...............:...............|...............:......P....E.M.| SUN  45
|               :               |               :        E MP   | MON  46
|               :               |               :  E    M      P| TUE  47
|               :               |            E  :  M           P| WED  48
|               :               |      E      M :             P | THR  49
|               :               E        M      :         P     | FRI  50
|               :       E       |  M            :   P           | SAT  51
|...............:.E.........M...|...........P...:...............| SUN  52
|           E   :     M         |   P           :               | MON  53
|     E         :M         P    |               :               | TUE  54
|  E        M   :  P            |               :               | WED  55
E      M   P    :               |               :               | THR  56
E   MP          :               |               :               | FRI  57
E*              :               |               :               | SAT  58
*..E............:...............|...............:...............| SUN  59
*     E         :               |               :               | MON  60
M  P        E   :               |               :               | TUE  61
| M     P       : E             |               :               | WED  62
|    M         P:       E       |               :               | THR  63
|        M      :      P        E               :               | FRI  64
|             M :              P|      E        :               | SAT  65
|...............:...M...........|.......P....E..:...............| SUN  66
|               :        M      |               P  E            | MON  67
|               :              M|               :      P E      | TUE  68
|               :               |     M         :           *   | WED  69
|               :               |          M    :              *| THR  70
|               :               |               :M             PE FRI  71
|               :               |               :     M       PE| SAT  72
|...............:...............|...............:.........*.E...| SUN  73
|               :               |               :   P    E   M  | MON  74
|               :               |           P   :  E           M| TUE  75
|               :               |   P        E  :              M| WED  76
|               :          P    |      E        :              M| THR  77
|               :  P           E|               :             M | FRI  78
|          P    :       E       |               :          M    | SAT  79
|....P..........:.E.............|...............:.......M.......| SUN  80
|P          E   :               |               :  M            | MON  81
P     E         :               |             M :               | TUE  82
P  E            :               |        M      :               | WED  83
E  P            :               |  M            :               | THR  84
===========================================================================```

## FreeBASIC

Translation of: VBA
```#define floor(x) ((x*2.0-0.5) Shr 1)
#define pi (4 * Atn(1))

Function Gregorian(db As String) As Integer
Dim As Integer M, Y, D
Y = Valint(Left(db,4)) :  M = Valint(Mid(db,6,2)) : D = Valint(Right(db,2))
Dim As Integer N = (M+9) - Int((M+9)/12) * 12
Dim As Integer W = Y - Int(N/10)
Dim As Integer G = 365 * W + Int(W/4) - Int(W/100) + Int(W/400)
G += Int((N*306+5)/10)+(D-1)
Return G
End Function

Function Biorhythm(Birthdate As String, Targetdate As String) As String
'Jagged Array
Dim As String TextArray(4,2) = {{"up and rising", "peak"}, {"up but falling", "transition"}, {"down and falling", "valley"}, {"down but rising", "transition"}}

Dim As Integer DaysBetween = Gregorian(Targetdate) - Gregorian(Birthdate)

Dim As Integer positionP = DaysBetween Mod 23
Dim As Integer positionE = DaysBetween Mod 28
Dim As Integer positionM = DaysBetween Mod 33

'return the positions - just to return something
Biorhythm = Str(positionP) & "/" & Str(positionE) & "/" & Str(positionM)

Dim As Integer quadrantP = Int(4 * positionP / 23)
Dim As Integer quadrantE = Int(4 * positionE / 28)
Dim As Integer quadrantM = Int(4 * positionM / 33)

Dim As Single percentageP = Fix(100 * Sin(2 * pi * (positionP / 23)))
Dim As Single percentageE = Fix(100 * Sin(2 * pi * (positionE / 28)))
Dim As Single percentageM = Fix(100 * Sin(2 * pi * (positionM / 33)))

Dim As Single transitionP = Val(Targetdate) + floor((quadrantP + 1) / 4 * 23) - positionP
Dim As Single transitionE = Val(Targetdate) + floor((quadrantE + 1) / 4 * 28) - positionE
Dim As Single transitionM = Val(Targetdate) + floor((quadrantM + 1) / 4 * 33) - positionM

Dim As String textP, textE, textM, Header1Text, Header2Text
Select Case percentageP
Case Is > 95
textP = "Physical day  " & positionP & " : " & "peak"
Case Is < -95
textP = "Physical day  " & positionP & " : " & "valley"
Case -5 To 5
textP = "Physical day  " & positionP & " : " & "critical transition"
Case Else
textP = "Physical day  " & positionP & " : " & percentageP & "% (" & TextArray(quadrantP,0) & ", next " & TextArray(quadrantP,1) & " " & transitionP & ")"
End Select

Select Case percentageE
Case Is > 95
textE = "Emotional day " & positionE & " : " & "peak"
Case Is < -95
textE = "Emotional day " & positionE & " : " & "valley"
Case -5 To 5
textE = "Emotional day " & positionE & " : " & "critical transition"
Case Else
textE = "Emotional day " & positionE & " : " & percentageE & "% (" & TextArray(quadrantE,0) & ", next " & TextArray(quadrantE,1) & " " & transitionE & ")"
End Select

Select Case percentageM
Case Is > 95
textM = "Mental day " & positionM & "    : " & "peak"
Case Is < -95
textM = "Mental day " & positionM & "    : " & "valley"
Case -5 To 5
textM = "Mental day " & positionM & "    : " & "critical transition"
Case Else
textM = "Mental day " & positionM & "    : " & percentageM & "% (" & TextArray(quadrantM,0) & ", next " & TextArray(quadrantM,1) & " " & transitionM & ")"
End Select

Header1Text = "Born " & Birthdate & ", Target " & Targetdate
Header2Text = "Day " & DaysBetween

Print textP
Print textE
Print textM
Print
End Function

Biorhythm("1943-03-09", "1972-07-11")
Biorhythm("1809-02-12", "1863-11-19")   'correct DOB for Abraham Lincoln
Biorhythm("1809-01-12", "1863-11-19")```

## FutureBasic

Translated from FreeBasic to FutureBasic

Rich Love May 24, 2024

```/*
Biorhythms task for Rosetta Code
https://rosettacode.org/wiki/Biorhythms

Translated from FreeBasic to FutureBasic
Rich Love May 24, 2024

*/

local fn Gregorian(db As str255) As short
short M, Y, D
Y = val(Left\$(db,4)) :  M = Val(Mid\$(db,6,2)) : D = Val(Right\$(db,2))
short N = (M+9) - Int((M+9)/12) * 12
short W = Y - Int(N/10)
short G = 365 * W + Int(W/4) - Int(W/100) + Int(W/400)
G += Int((N*306+5)/10)+(D-1)
end fn = G

void local fn Biorhythm(Birthdate As str255, Targetdate As str255)

str255 TextArray(4,2)
TextArray(0,0) = "up and rising"
TextArray(1,0) = "up but falling"
TextArray(2,0) = "down and falling"
TextArray(3,0) = "down but rising"
TextArray(0,1) = "peak"
TextArray(1,1) = "transition"
TextArray(2,1) = "valley"
TextArray(3,1) = "transition"

short DaysBetween = fn Gregorian(Targetdate) - fn Gregorian(Birthdate) + 1
short positionP = DaysBetween Mod 23
short positionE = DaysBetween Mod 28
short positionM = DaysBetween Mod 33
short quadrantP = Int(4 * positionP / 23)
short quadrantE = Int(4 * positionE / 28)
short quadrantM = Int(4 * positionM / 33)
short percentageP = Fix(100 * Sin(2 * (pi * positionP) / 23))
short percentageE = Fix(100 * Sin(2 * (pi * positionE) / 28))
short percentageM = Fix(100 * Sin(2 * (pi * positionM) / 33))

Select Case percentageP
Case  > 95
textP  = "Physical day  " + str\$(positionP) + " : " + "peak"
Case  < -95
textP = "Physical day  " + str\$(positionP) + " : " + "valley"
Case -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
textP = "Physical day  " + str\$(positionP) + " : " + "critical transition"
Case Else
textP = "Physical day  " + str\$(positionP) + " : " + str\$(percentageP) + "% (" + TextArray(quadrantP,0) + ")"
End Select

Select Case percentageE
Case  > 95
textE = "Emotional day " + STR\$(positionE) + " : " + "peak"
Case  < -95
textE = "Emotional day " + STR\$(positionE) + " : " + "valley"
Case -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
textE = "Emotional day " + STR\$(positionE) + " : " + "critical transition"
Case Else
textE = "Emotional day " + STR\$(positionE) + " : " + str\$(percentageE) + "% (" + TextArray(quadrantE,0) + ")"
End Select

Select Case percentageM
Case  > 95
textM = "Mental day " + str\$(positionM)+ "    : " + "peak"
Case  < - 95
textM = "Mental day " + str\$(positionM) + "    : " + "valley"
Case -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
textM = "Mental day " + str\$(positionM) + "    : " + "critical transition"
Case Else
textM = "Mental day " + str\$(positionM) + "    : " + str\$(percentageM) + "% (" + TextArray(quadrantM,0) + ")"
End Select

Header1Text = "Born " + Birthdate + ", Target " + Targetdate
Header2Text = "Day " + str\$(DaysBetween)

Print textP
Print textE
Print textM
Print
end fn

window 1, @"Biorhythms"
windowcenter(1)
WindowSetBackgroundColor(1,fn ColorBlack)

print

// Lets do four different birthdates and target dates
text ,,fn colorCyan
fn Biorhythm("1943-03-09", "1972-07-11")
text ,,fn colorGreen
fn Biorhythm("1809-02-12", "1863-11-19")   // DOB for Abraham Lincoln
text ,,fn colorYellow
fn Biorhythm("1809-01-12", "1863-11-19")
text ,,fn colorWhite
fn Biorhythm("1943-03-09", "1972-07-11")  // Bobby Fisher Chess Tournament

handleevents```

## Go

Translation of: Wren
```package main

import (
"fmt"
"log"
"math"
"time"
)

const layout = "2006-01-02" // template for time.Parse

var cycles = [3]string{"Physical day ", "Emotional day", "Mental day   "}
var lengths = [3]int{23, 28, 33}
var quadrants = [4][2]string{
{"up and rising", "peak"},
{"up but falling", "transition"},
{"down and falling", "valley"},
{"down but rising", "transition"},
}

func check(err error) {
if err != nil {
log.Fatal(err)
}
}

// Parameters assumed to be in YYYY-MM-DD format.
func biorhythms(birthDate, targetDate string) {
bd, err := time.Parse(layout, birthDate)
check(err)
td, err := time.Parse(layout, targetDate)
check(err)
days := int(td.Sub(bd).Hours() / 24)
fmt.Printf("Born %s, Target %s\n", birthDate, targetDate)
fmt.Println("Day", days)
for i := 0; i < 3; i++ {
length := lengths[i]
cycle := cycles[i]
position := days % length
quadrant := position * 4 / length
percent := math.Sin(2 * math.Pi * float64(position) / float64(length))
percent = math.Floor(percent*1000) / 10
descript := ""
if percent > 95 {
descript = " peak"
} else if percent < -95 {
descript = " valley"
} else if math.Abs(percent) < 5 {
descript = " critical transition"
} else {
transition := td.Add(time.Hour * 24 * time.Duration(daysToAdd))
transStr := transition.Format(layout)
descript = fmt.Sprintf("%5.1f%% (%s, next %s %s)", percent, trend, next, transStr)
}
fmt.Printf("%s %2d : %s\n", cycle, position, descript)
}
fmt.Println()
}

func main() {
datePairs := [][2]string{
{"1943-03-09", "1972-07-11"},
{"1809-01-12", "1863-11-19"},
{"1809-02-12", "1863-11-19"}, // correct DOB for Abraham Lincoln
}
for _, datePair := range datePairs {
biorhythms(datePair[0], datePair[1])
}
}
```
Output:
```Born 1943-03-09, Target 1972-07-11
Day 10717
Physical day  22 : -27.0% (down but rising, next transition 1972-07-12)
Emotional day 21 :  valley
Mental day    25 :  valley

Born 1809-01-12, Target 1863-11-19
Day 20034
Physical day   1 :  26.9% (up and rising, next peak 1863-11-23)
Emotional day 14 :  critical transition
Mental day     3 :  54.0% (up and rising, next peak 1863-11-24)

Born 1809-02-12, Target 1863-11-19
Day 20003
Physical day  16 : -94.3% (down and falling, next valley 1863-11-20)
Emotional day 11 :  62.3% (up but falling, next transition 1863-11-22)
Mental day     5 :  81.4% (up and rising, next peak 1863-11-22)
```

## J

Let's presume the content of file br.ijs :

```use=: 'Use: ', (;:inv 2 {. ARGV) , ' YYYY-MM-DD YYYY-MM-DD'

3 :0 ::echo use
TAU=: 2p1  NB. tauday.com

span=: (i.7) + daysDiff&(1 0 0 0 1 0 1 0 ".;.1 -.&'-')~
Length=: 23 5 p. i. 3
arg=: Length *inv TAU * Length |/ span
brtable=: 1 o. arg
biorhythm=: 'title biorythms for the week ahead; key Physical Emotional Mental' plot (i.7) (j."1) brtable~
biorhythm/ 2 3 {::"0 1 ARGV
echo 'find new graph (plot.pdf) in directory ' , jpath '~temp/'

brs=. brtable/ 2 3 {::"0 1 ARGV
echo (a:,'values';'interpretation') ,: (4 10 \$ 'days aheadPhysical  Emotional Mental     ') ; (1 3 # 6 6j1)&(":"0 1) L:0 (; |) brs ,~ i. 7
)

exit 0
```

Then bash commands could be

```\$ ijconsole /tmp/br.ijs help
Use: ijconsole /tmp/br.ijs YYYY-MM-DD YYYY-MM-DD
\$ ijconsole  /tmp/br.ijs 1960-05-04 \$( date '+%Y-%m-%d' )
find new graph (plot.pdf) in directory /home/username/j902-user/temp/
┌──────────┬──────────────────────────────────────────┬──────────────────────────────────────────┐
│          │values                                    │interpretation                            │
├──────────┼──────────────────────────────────────────┼──────────────────────────────────────────┤
│days ahead│     0     1     2     3     4     5     6│     0     1     2     3     4     5     6│
│Physical  │  _0.4  _0.6  _0.8  _0.9  _1.0  _1.0  _0.9│   0.4   0.6   0.8   0.9   1.0   1.0   0.9│
│Emotional │  _0.2   0.0   0.2   0.4   0.6   0.8   0.9│   0.2   0.0   0.2   0.4   0.6   0.8   0.9│
│Mental    │  _0.9  _0.9  _1.0  _1.0  _1.0  _0.9  _0.8│   0.9   0.9   1.0   1.0   1.0   0.9   0.8│
└──────────┴──────────────────────────────────────────┴──────────────────────────────────────────┘
```

## Java

```import java.time.LocalDate;
import java.time.format.DateTimeFormatter;
import java.time.temporal.ChronoUnit;
import java.util.List;

public final class Biorythms {

public static void main(String[] aArgs) {
List<List<String>> datePairs = List.of(
List.of( "1943-03-09", "1972-07-11" ),
List.of( "1809-01-12", "1863-11-19" ),
List.of( "1809-02-12", "1863-11-19" ));

for ( List<String> datePair : datePairs ) {
biorhythms(datePair);
}
}

private static void biorhythms(List<String> aDatePair) {
DateTimeFormatter formatter = DateTimeFormatter.ISO_LOCAL_DATE;
LocalDate birthDate = LocalDate.parse(aDatePair.get(0), formatter);
LocalDate targetDate = LocalDate.parse(aDatePair.get(1), formatter);
final int daysBetween = (int) ChronoUnit.DAYS.between(birthDate, targetDate);
System.out.println("Birth date " + birthDate + ", Target date " + targetDate);
System.out.println("Days between: " + daysBetween);

for ( Cycle cycle : Cycle.values() ) {
final int cycleLength = cycle.length();
final int positionInCycle = daysBetween % cycleLength;
final int quadrantIndex = 4 * positionInCycle / cycleLength;
final int percentage = (int) Math.round(100 * Math.sin(2 * Math.PI * positionInCycle / cycleLength));

String description;
if ( percentage > 95 ) {
description = "peak";
} else if ( percentage < -95 ) {
description = "valley";
} else if ( Math.abs(percentage) < 5 ) {
description = "critical transition";
} else {
final int daysToTransition = ( cycleLength * ( quadrantIndex + 1 ) / 4 ) - positionInCycle;
LocalDate transitionDate = targetDate.plusDays(daysToTransition);
List<String> descriptions = cycle.descriptions(quadrantIndex);
String trend = descriptions.get(0);
String nextTransition = descriptions.get(1);
description = percentage + "% (" + trend + ", next " + nextTransition + " " + transitionDate + ")";
}

System.out.println(cycle + " day " + positionInCycle  + ": " + description);
}
System.out.println();
}

private enum Cycle {
PHYSICAL(23), EMOTIONAL(28), MENTAL(33);

public int length() {
return length;
}

public List<String> descriptions(int aNumber) {
return DESCRIPTIONS.get(aNumber);
}

private Cycle(int aLength) {
length = aLength;
}

private final int length;

private static final List<List<String>> DESCRIPTIONS = List.of(
List.of( "up and rising", "peak" ), List.of( "up but falling", "transition" ),
List.of( "down and falling", "valley" ), List.of( "down but rising", "transition" ));
}

}
```
```Birth date 1943-03-09, Target date 1972-07-11
Days between: 10717
PHYSICAL day 22: -27% (down but rising, next transition 1972-07-12)
EMOTIONAL day 21: valley
MENTAL day 25: valley

Birth date 1809-01-12, Target date 1863-11-19
Days between: 20034
PHYSICAL day 1: 27% (up and rising, next peak 1863-11-23)
EMOTIONAL day 14: critical transition
MENTAL day 3: 54% (up and rising, next peak 1863-11-24)

Birth date 1809-02-12, Target date 1863-11-19
Days between: 20003
PHYSICAL day 16: -94% (down and falling, next valley 1863-11-20)
EMOTIONAL day 11: 62% (up but falling, next transition 1863-11-22)
MENTAL day 5: 81% (up and rising, next peak 1863-11-22)
```

## Julia

Translation of: Raku
```using Dates

const cycles = ["Physical" => 23, "Emotional" => 28,"Mental" => 33]
const quadrants = [("up and rising", "peak"), ("up but falling", "transition"),
("down and falling", "valley"), ("down but rising", "transition")]

function tellfortune(birthday::Date, date = today())
days = (date - birthday).value
target = (date - Date(0)).value
println("Born \$birthday, target date \$date\nDay \$days:")
for (label, length) in cycles
position = days % length
quadrant = Int(floor((4 * position) / length)) + 1
percentage = round(100 * sinpi(2 * position / length), digits=1)
transition = target - position + (length * quadrant) ÷ 4
description = (percentage > 95) ? "peak" :
(percentage < -95) ? "valley" :
(abs(percentage) < 5) ? "critical transition" :
"\$percentage% (\$trend, next \$next \$(Date(0) + Dates.Day(transition)))"
println("\$label day \$position: \$description")
end
println()
end

tellfortune(Date("1943-03-09"), Date("1972-07-11"))
tellfortune(Date("1809-01-12"), Date("1863-11-19"))
tellfortune(Date("1809-02-12"), Date("1863-11-19"))
```
Output:
```Born 1943-03-09, target date 1972-07-11
Day 10717:
Physical day 22: -27.0% (down but rising, next transition 1972-07-12)
Emotional day 21: valley
Mental day 25: valley

Born 1809-01-12, target date 1863-11-19
Day 20034:
Physical day 1: 27.0% (up and rising, next peak 1863-11-23)
Emotional day 14: critical transition
Mental day 3: 54.1% (up and rising, next peak 1863-11-24)

Born 1809-02-12, target date 1863-11-19
Day 20003:
Physical day 16: -94.2% (down and falling, next valley 1863-11-20)
Emotional day 11: 62.3% (up but falling, next transition 1863-11-22)
Mental day 5: 81.5% (up and rising, next peak 1863-11-22)
```

## Kotlin

Translation of: Java
```import java.time.LocalDate
import java.time.format.DateTimeFormatter
import java.time.temporal.ChronoUnit
import kotlin.math.roundToInt
import kotlin.math.sin

fun main() {
val datePairs = listOf(
listOf("1943-03-09", "1972-07-11"),
listOf("1809-01-12", "1863-11-19"),
listOf("1809-02-12", "1863-11-19")
)

for (datePair in datePairs) {
calculateBiorhythms(datePair)
}
}

fun calculateBiorhythms(datePair: List<String>) {
val formatter = DateTimeFormatter.ISO_LOCAL_DATE
val birthDate = LocalDate.parse(datePair[0], formatter)
val targetDate = LocalDate.parse(datePair[1], formatter)
val daysBetween = ChronoUnit.DAYS.between(birthDate, targetDate).toInt()
println("Birth date \$birthDate, Target date \$targetDate")
println("Days between: \$daysBetween")

for (cycle in Cycle.values()) {
val cycleLength = cycle.getLength()
val positionInCycle = daysBetween % cycleLength
val quadrantIndex = 4 * positionInCycle / cycleLength
val percentage = (100 * sin(2 * Math.PI * positionInCycle / cycleLength)).roundToInt()

val description = when {
percentage > 95 -> "peak"
percentage < -95 -> "valley"
Math.abs(percentage) < 5 -> "critical transition"
else -> {
val daysToTransition = (cycleLength * (quadrantIndex + 1) / 4) - positionInCycle
val transitionDate = targetDate.plusDays(daysToTransition.toLong())
val (trend, nextTransition) = cycle.descriptions(quadrantIndex)
"\$percentage% (\$trend, next \$nextTransition \$transitionDate)"
}
}

println("\${cycle.name} day \$positionInCycle: \$description")
}
println()
}

enum class Cycle(private val length: Int) {
PHYSICAL(23), EMOTIONAL(28), MENTAL(33);

fun getLength() = length

fun descriptions(index: Int): Pair<String, String> {
val descriptions = listOf(
listOf("up and rising", "peak"),
listOf("up but falling", "transition"),
listOf("down and falling", "valley"),
listOf("down but rising", "transition")
)
return descriptions[index][0] to descriptions[index][1]
}
}
```
Output:
```Birth date 1943-03-09, Target date 1972-07-11
Days between: 10717
PHYSICAL day 22: -27% (down but rising, next transition 1972-07-12)
EMOTIONAL day 21: valley
MENTAL day 25: valley

Birth date 1809-01-12, Target date 1863-11-19
Days between: 20034
PHYSICAL day 1: 27% (up and rising, next peak 1863-11-23)
EMOTIONAL day 14: critical transition
MENTAL day 3: 54% (up and rising, next peak 1863-11-24)

Birth date 1809-02-12, Target date 1863-11-19
Days between: 20003
PHYSICAL day 16: -94% (down and falling, next valley 1863-11-20)
EMOTIONAL day 11: 62% (up but falling, next transition 1863-11-22)
MENTAL day 5: 81% (up and rising, next peak 1863-11-22)

```

## Locomotive Basic

```10 input "Birthday (y,m,d) ",y,m,d:gosub 3000
20 gosub 1000
30 bday = day
40 input "Today's date (y,m,d) ",y,m,d:gosub 3000
50 gosub 1000
60 diff = day - bday
70 print:print "Age in days:" tab(22) diff
80 t\$ = "physical":l = 23:gosub 2000
90 t\$ = "emotional":l = 28:gosub 2000
100 t\$ = "intellectual":l = 33:gosub 2000
999 end
1000 ' Get the days to J2000
1010 ' FNday only works between 1901 to 2099 - see Meeus chapter 7
1020 day = 367 * y - 7 * (y + (m + 9) \ 12) \ 4 + 275 * m \ 9 + d - 730530
1030 return
2000 p = 100 * sin(2*pi*diff/l)
2010 print t\$; " cycle: " tab(22)
2020 print using "+###"; int(p);
2030 print "%";
2040 if abs(p) < 15 then print " (critical)" else print
2050 return
3000 if y < 1901 or y > 2099 then print "Year must be between 1901 and 2099!":run
3010 return```
Output:
```Birthday (y,m,d) 1943,3,9
Today's date (y,m,d) 1972,7,11

Age in days:          10717
physical cycle:       -27%
emotional cycle:     -100%
intellectual cycle:  -100%```

## Lua

Translation of: Phix
```cycles = {"Physical day ", "Emotional day", "Mental day   "}
lengths = {23, 28, 33}
{"up and rising", "peak"},
{"up but falling", "transition"},
{"down and falling", "valley"},
{"down but rising", "transition"},
}

function parse_date_string (birthDate)
local year, month, day = birthDate:match("(%d+)-(%d+)-(%d+)")
return {year=tonumber(year), month=tonumber(month), day=tonumber(day)}
end

function days_diffeternce (d1, d2)
if d1.year >= 1970 and d2.year >= 1970 then
return math.floor(os.difftime(os.time(d2), os.time(d1))/(60*60*24))
else
local t1 = math.max (1970-d1.year, 1970-d2.year)
t1 = math.ceil(t1/4)*4
d1.year = d1.year + t1
d2.year = d2.year + t1
return math.floor(os.difftime(os.time(d2), os.time(d1))/(60*60*24))
end
end

function biorhythms (birthDate, targetDate)
local bd = parse_date_string(birthDate)
local td = parse_date_string(targetDate)
local days = days_diffeternce (bd, td)

print('Born: '.. birthDate .. ', Target: ' .. targetDate)
print("Day: ", days)
for i=1, #lengths do
local len = lengths[i]
local posn = days%len
local quadrant = math.floor(posn/len*4)+1
local percent  = math.floor(math.sin(2*math.pi*posn/len)*1000)/10
local cycle = cycles[i]
local desc = percent > 95 and "peak" or
percent < -95 and "valley" or
math.abs(percent) < 5 and "critical transition" or "other"
if desc == "other" then
local t = math.floor(quadrant/4*len)-posn
desc = percent .. '% (' .. qtrend .. ', next transition in ' .. t ..' days)'
end
print(cycle, posn..'/'..len, ': '.. desc)
end
print(' ')
end

datePairs = {
{"1943-03-09", "1972-07-11"},
{"1809-01-12", "1863-11-19"},
{"1809-02-12", "1863-11-19"},
{"2021-02-25", "2022-04-18"},
}

for i=1, #datePairs do
biorhythms(datePairs[i][1], datePairs[i][2])
end
```
Output:
```Born: 1943-03-09, Target: 1972-07-11
Day: 	10716
Physical day 	21/23	: -52.0% (down but rising, next transition in 2 days)
Emotional day	20/28	: valley
Mental day   	24/33	: valley

Born: 1809-01-12, Target: 1863-11-19
Day: 	20034
Physical day 	1/23	: 26.9% (up and rising, next transition in 4 days)
Emotional day	14/28	: critical transition
Mental day   	3/33	: 54.0% (up and rising, next transition in 5 days)

Born: 1809-02-12, Target: 1863-11-19
Day: 	20003
Physical day 	16/23	: -94.3% (down and falling, next transition in 1 days)
Emotional day	11/28	: 62.3% (up but falling, next transition in 3 days)
Mental day   	5/33	: 81.4% (up and rising, next transition in 3 days)

Born: 2021-02-25, Target: 2022-04-18
Day: 	416
Physical day 	2/23	: 51.9% (up and rising, next transition in 3 days)
Emotional day	24/28	: -78.2% (down but rising, next transition in 4 days)
Mental day   	20/33	: -61.9% (down and falling, next transition in 4 days)```

## M2000 Interpreter

```Module Biorhythms {
form 80
enum bio {Physical=23,	Emotional=28,Mental=33}
quadrants=(("up and rising", "peak"), ("up but falling", "transition"), ("down and falling", "valley"), ("down but rising", "transition"))
date birth="1943-03-09"
date bioDay="1972-07-11", transition
for k=1 to 1
long Days=bioDay-birth
Print "Day "+Days+":"

string frm="{0:-20} : {1}", pword, dfmt="YYYY-MM-DD"
long position, percentage, length, targetday
k=each(bio)
while k
length=eval(k)

position=days mod length
targetday=bioDay  // get the long value of day from date type
percentage=100*sin(360*position/length)
select case percentage
case >95
pword="peak"
case <-95
pword="valley"
case -5 to 5
pword="critical "
case else
{
}
end select
print format\$(frm, eval\$(k)+" day "+(days mod length), pword)
End while
bioDay++
next k
}
Biorhythms```
Output:
```Day 10717:
Physical day 22: -27% (down but rising, next transition 1972-07-12)
Emotional day 21: valley
Mental day 25: valley
```

## Mathematica / Wolfram Language

```targetdate = "1972-07-11";
birthdate = "1943-03-09";
targetdate //= DateObject;
birthdate //= DateObject;

cyclelabels = {"Physical", "Emotional", "Mental"};
cyclelengths = {23, 28, 33};
quadrants = {{"up and rising", "peak"}, {"up but falling",
"transition"}, {"down and falling", "valley"}, {"down but rising",
"transition"}};

d = QuantityMagnitude[DateDifference[birthdate, targetdate], "Days"];
Print["Day ", d, ":"];
Do[
label = cyclelabels[[i]];
length = cyclelengths[[i]];
position = Mod[d, length];
quadrant = Floor[4 (position + 1)/length];
percentage = Round[100*Sin[2*Pi*position/length]];
transitiondate =
DatePlus[targetdate, Floor[(quadrant + 1)/4*length] - position];
If[percentage > 95,
description = "peak"
,
If[percentage < -95,
description = "valley"
,
If[Abs[percentage] < 5,
description = "critical transition"
,
description =
ToString[percentage] <> "% (" <> trend <> ", next " <> next <>
" " <> DateString[transitiondate, "ISODate"] <> ")"
]
]
];
Print[label <> " day " <> ToString[position] <> ": " <>
description];
,
{i, 3}
]
```
Output:
```Day 10717:
Physical day 22: -27% (down but rising, next transition 1972-07-17)
Emotional day 21: valley
Mental day 25: valley```

## Nim

Translation of: Go
```import math
import strformat
import times

type Cycle {.pure.} = enum Physical, Emotional, Mental

const

Lengths: array[Cycle, int] = [23, 28, 33]

Quadrants = [("up and rising", "peak"),
("up but falling", "transition"),
("down and falling", "valley"),
("down but rising", "transition")]

DateFormat = "YYYY-MM-dd"

#---------------------------------------------------------------------------------------------------

proc biorythms(birthDate: DateTime; targetDate: DateTime = now()) =
## Display biorythms data. Arguments are DateTime values.

echo fmt"Born {birthDate.format(DateFormat)}, target date {targetDate.format(DateFormat)}"
let days = (targetDate - birthDate).inDays
echo "Day ", days

for cycle, length in Lengths:

let position = int(days mod length)
let quadrant = int(4 * position / length)
let percentage = round(100 * sin(2 * PI * (position / length)), 1)

var description: string
if percentage > 95:
description = "peak"
elif percentage < -95:
description = "valley"
elif abs(percentage) < 5:
description = "critical transition"
else:
let transition = targetDate + initDuration(days = (quadrant + 1) * length div 4 - position)
description = fmt"{percentage}% ({trend}, next {next} {transition.format(DateFormat)})"

echo fmt"{cycle} day {position}: {description}"

echo ""

#---------------------------------------------------------------------------------------------------

proc biorythms(birthDate, targetDate = "") =
## Display biorythms data. Arguments are strings in ISO format year-month-day.
let date = if targetDate.len == 0: now() else: targetDate.parse(DateFormat)
biorythms(birthDate.parse(DateFormat), date)

#———————————————————————————————————————————————————————————————————————————————————————————————————

when isMainModule:

biorythms("1943-03-09", "1972-07-11")
biorythms("1809-01-12", "1863-11-19")
biorythms("1809-02-12", "1863-11-19")
```
Output:
```Born 1943-03-09, target date 1972-07-11
Day 10717
Physical day 22: -27.0% (down but rising, next transition 1972-07-12)
Emotional day 21: valley
Mental day 25: valley

Born 1809-01-12, target date 1863-11-19
Day 20034
Physical day 1: 27.0% (up and rising, next peak 1863-11-23)
Emotional day 14: critical transition
Mental day 3: 54.1% (up and rising, next peak 1863-11-24)

Born 1809-02-12, target date 1863-11-19
Day 20003
Physical day 16: -94.2% (down and falling, next valley 1863-11-20)
Emotional day 11: 62.3% (up but falling, next transition 1863-11-22)
Mental day 5: 81.5% (up and rising, next peak 1863-11-22)```

## Perl

Translation of: Raku
```use strict;
use warnings;
use DateTime;

use constant PI => 2 * atan2(1, 0);

my %cycles = ( 'Physical' => 23, 'Emotional' => 28, 'Mental' => 33 );
my @Q = ( ['up and rising',    'peak'],
['up but falling',   'transition'],
['down and falling', 'valley'],
['down but rising',  'transition']
);

my \$target = DateTime->new(year=>1863, month=>11, day=>19);
my \$bday   = DateTime->new(year=>1809, month=> 2, day=>12);

my \$days   = \$bday->delta_days( \$target )->in_units('days');

print "Day \$days:\n";
for my \$label (sort keys %cycles) {
my(\$length) = \$cycles{\$label};
my \$position = \$days % \$length;
my \$quadrant = int \$position / \$length * 4;
my \$percentage = int(sin(\$position / \$length * 2 * PI )*1000)/10;
my \$description;
if    (    \$percentage  >  95) { \$description = 'peak' }
elsif (    \$percentage  < -95) { \$description = 'valley' }
elsif (abs(\$percentage) <   5) { \$description = 'critical transition' }
else {
my \$transition = \$target->clone->add( days => (int((\$quadrant + 1)/4 * \$length) - \$position))->ymd;
my (\$trend, \$next) = @{\$Q[\$quadrant]};
\$description = sprintf "%5.1f%% (\$trend, next \$next \$transition)", \$percentage;
}
printf "%-13s %2d: %s", "\$label day\n", \$position, \$description;
}
```
Output:
```Day 20003:
Emotional day 11:  62.3% (up but falling, next transition 1863-11-22)
Mental day     5:  81.4% (up and rising, next peak 1863-11-22)
Physical day  16: -94.2% (down and falling, next valley 1863-11-20)```

## Phix

Translation of: Wren
```with javascript_semantics
include timedate.e

constant cycles = {"Physical day ", "Emotional day", "Mental day   "},
lengths = {23, 28, 33},
quadrants = {{"up and rising",    "peak"},
{"up but falling",   "transition"},
{"down and falling", "valley"},
{"down but rising",  "transition"}}

procedure biorhythms(string birthDate, targetDate)
timedate bd = parse_date_string(birthDate,{"YYYY-MM-DD"}),
td = parse_date_string(targetDate,{"YYYY-MM-DD"})
integer days = floor(timedate_diff(bd, td, DT_DAY)/(60*60*24))
printf(1,"Born %s, Target %s\n",{birthDate,targetDate})
printf(1,"Day %d\n",days)
for i=1 to 3 do
integer len = lengths[i],
posn = remainder(days,len),
atom percent  = floor(sin(2*PI*posn/len)*1000)/10
string cycle = cycles[i],
desc = iff(percent>95 ? " peak" :
iff(percent<-95 ? " valley" :
iff(abs(percent)<5 ? " critical transition" : "other")))
if desc == "other" then
string transition = format_timedate(t,"YYYY-MM-DD"),
desc = sprintf("%5.1f%% (%s, next %s %s)", {percent, trend, next, transition})
end if
printf(1,"%s %2d : %s\n", {cycle, posn, desc})
end for
printf(1,"\n")
end procedure

constant datePairs = {
{"1943-03-09", "1972-07-11"},
{"1809-01-12", "1863-11-19"},
{"1809-02-12", "1863-11-19"}  // correct DOB for Abraham Lincoln
}
for i=1 to length(datePairs) do biorhythms(datePairs[i][1], datePairs[i][2]) end for
```
Output:
```Born 1943-03-09, Target 1972-07-11
Day 10717
Physical day  22 : -27.0% (down but rising, next transition 1972-07-12)
Emotional day 21 :  valley
Mental day    25 :  valley

Born 1809-01-12, Target 1863-11-19
Day 20034
Physical day   1 :  26.9% (up and rising, next peak 1863-11-23)
Emotional day 14 :  critical transition
Mental day     3 :  54.0% (up and rising, next peak 1863-11-24)

Born 1809-02-12, Target 1863-11-19
Day 20003
Physical day  16 : -94.3% (down and falling, next valley 1863-11-20)
Emotional day 11 :  62.3% (up but falling, next transition 1863-11-22)
Mental day     5 :  81.4% (up and rising, next peak 1863-11-22)
```

## Python

```"""

Python implementation of

http://rosettacode.org/wiki/Biorhythms

"""

from datetime import date, timedelta
from math import floor, sin, pi

def biorhythms(birthdate,targetdate):
"""
Print out biorhythm data for targetdate assuming you were
born on birthdate.

birthdate and targetdata are strings in this format:

YYYY-MM-DD e.g. 1964-12-26
"""

# print dates

print("Born: "+birthdate+" Target: "+targetdate)

# convert to date types - Python 3.7 or later

birthdate = date.fromisoformat(birthdate)
targetdate = date.fromisoformat(targetdate)

# days between

days = (targetdate - birthdate).days

print("Day: "+str(days))

# cycle logic - mostly from Julia example

cycle_labels = ["Physical", "Emotional", "Mental"]
cycle_lengths = [23, 28, 33]
quadrants = [("up and rising", "peak"), ("up but falling", "transition"),
("down and falling", "valley"), ("down but rising", "transition")]

for i in range(3):
label = cycle_labels[i]
length = cycle_lengths[i]
position = days % length
quadrant = int(floor((4 * position) / length))
percentage = int(round(100 * sin(2 * pi * position / length),0))
transition_date = targetdate + timedelta(days=floor((quadrant + 1)/4 * length) - position)

if percentage > 95:
description = "peak"
elif percentage < -95:
description = "valley"
elif abs(percentage) < 5:
description = "critical transition"
else:
description = str(percentage)+"% ("+trend+", next "+next+" "+str(transition_date)+")"
print(label+" day "+str(position)+": "+description)

biorhythms("1943-03-09","1972-07-11")
```
Output:
```Born: 1943-03-09 Target: 1972-07-11
Day: 10717
Physical day 22: -27% (down but rising, next transition 1972-07-12)
Emotional day 21: valley
Mental day 25: valley
```

## R

Also creates a plot showing past and future 30-day cycles

```bioR <- function(bDay, targetDay) {
bDay <- as.Date(bDay)
targetDay <- as.Date(targetDay)
n <- as.numeric(targetDay - bDay)

cycles <- c(23, 28, 33)
mods <- n %% cycles
bioR <- c(sin(2 * pi * mods / cycles))
loc <- mods / cycles
current <- ifelse(bioR > 0, ': Up', ': Down')
current <- paste(current, ifelse(loc < 0.25 | loc > 0.75,
"and rising",
"and falling"))

df <- data.frame(dates = seq.Date(from = targetDay - 30,
to = targetDay + 30,
by = 1))
df\$n <- as.numeric(df\$dates - bDay)
df\$P <- sin(2 * pi * (df\$n %% cycles[1]) / cycles[1])
df\$E <- sin(2 * pi * (df\$n %% cycles[2]) / cycles[2])
df\$M <- sin(2 * pi * (df\$n %% cycles[3]) / cycles[3])

plot(df\$dates, df\$P, col = 'blue',
main = paste(targetDay, 'Biorhythm for Birthday on', bDay),
xlab = "",
ylab = "Intensity")
points(df\$dates, df\$E, col = 'green')
points(df\$dates, df\$M, col = 'red')
abline(v = targetDay)
legend('topleft', legend = c("Phys", "Emot", "Ment"),
col =c("blue", "green", "red"),
cex = 0.8,
pch = 21)

cat(paste0('Birthday = ', as.character(bDay),
'\nTarget Date = ', as.character(targetDay),
'\n', n, ' days',
'\nPhysical = ', mods[1], current[1],
'\nEmotional = ', mods[2], current[2],
'\nMental = ', mods[3], current[3]))
}

bioR('1943-03-09', '1972-07-11')
```
Output:
```Birthday = 1943-03-09
Target Date = 1972-07-11
10717 days
Physical = 22: Down and rising
Emotional = 21: Down and falling
Mental = 25: Down and rising
```

## Raku

```#!/usr/bin/env raku
unit sub MAIN(\$birthday=%*ENV<BIRTHDAY>, \$date = Date.today()) {

my %cycles = ( :23Physical, :28Emotional, :33Mental );
my @quadrants = [ ('up and rising',    'peak'),
('up but falling',   'transition'),
('down and falling', 'valley'),
('down but rising',  'transition') ];

if !\$birthday {
die "Birthday not specified.\n" ~
"Supply --birthday option or set \\$BIRTHDAY in environment.\n";
}

my (\$bday, \$target) = (\$birthday, \$date).map: { Date.new(\$_) };
my \$days = \$target - \$bday;

say "Day \$days:";
for %cycles.sort(+*.value)».kv -> (\$label, \$length) {
my \$position = \$days % \$length;
my \$quadrant = floor(\$position / \$length * 4);
my \$percentage = floor(sin(\$position / \$length * 2 * π )*1000)/10;
my \$description;
if \$percentage > 95 {
\$description = 'peak';
} elsif \$percentage < -95 {
\$description = 'valley';
} elsif abs(\$percentage) < 5 {
\$description = 'critical transition'
} else {
my \$transition = \$target + floor((\$quadrant + 1)/4 * \$length) - \$position;
\$description = "\$percentage% (\$trend, next \$next \$transition)";
}
say "\$label day \$position: \$description";
}
}
```
Output:
```\$ br 1809-01-12 1863-11-19
Day 20034:
Physical day 1: 26.9% (up and rising, next peak 1863-11-23)
Emotional day 14: critical transition
Mental day 3: 54% (up and rising, next peak 1863-11-24)
```

## Red

Translation of: Raku
```Red [
Title: "Biorythms"
Source: https://rosettacode.org/wiki/Biorhythms#Red
Purpose: "Calculates biorythmic values for given birthday and target date"
]

biorythms: function [
"Calculates biorythmic values for given birthday and target date"
bday	[date!]
target	[date!]
][
cycles: [
"Physical day  " 23
"Emotional day " 28
"Mental day    " 33
]

["(up and rising" "peak"]
["(up but falling" "transition"]
["(down and falling" "valley"]
["(down but rising" "transition"]
]

days:	target - bday

print [
#"^(line)"
"Birthday   :" bday #"^(line)"
"Target date:" target #"^(line)"
"Days       :" days "days"
]

foreach [cycle len] cycles [
posn:		days % len
quadrant:	to-integer ((posn / len * 4) + 1)
ampl:		to-percent round/to sin (days / len * 2 * pi) 0.01
case [
ampl > 0.95				[desc: " Peak"]
ampl < -0.95			[desc: " Valley"]
(absolute ampl) <= 0.05	[desc: " Critical transition"]
true [
t: to-integer (quadrant / 4 * len) - posn
desc: reduce [pad/left ampl 4 trend/(1) ", next" trend/(2) "in" t "days)"]
]
]
print [cycle pad/left reduce [posn "of" len] 8 ":" desc]
]
]

biorythms	1943-03-09	1972-07-11 ; Bobby Fisher won the World Chess Championship
biorythms	1987-05-22	2023-01-29 ; Novak Đoković won the Australian Open for the 11th time
biorythms	1969-01-03	2013-09-13 ; Michael Schuhmacher's bad skiing accident
```
Output:
```Birthday   : 9-Mar-1943
Target date: 11-Jul-1972
Days       : 10717 days
Physical day   22 of 23 : -27% (down but rising , next transition in 1 days)
Emotional day  21 of 28 :  Valley
Mental day     25 of 33 :  Valley

Birthday   : 22-May-1987
Target date: 29-Jan-2023
Days       : 13036 days
Physical day   18 of 23 :  Valley
Emotional day  16 of 28 : -43% (down and falling , next valley in 5 days)
Mental day      1 of 33 :  19% (up and rising , next peak in 7 days)

Birthday   : 3-Jan-1969
Target date: 13-Sep-2013
Days       : 16324 days
Physical day   17 of 23 :  Valley
Emotional day   0 of 28 :  Critical transition
Mental day     22 of 33 : -87% (down and falling , next valley in 2 days)
```

## REXX

It is usual to use the birth date of a person.

```/*REXX pgm shows the states of a person's biorhythms                   */
/*                                 (physical, emotional, intellectual) */
Parse Arg birthdate targetdate .  /* obtain one or two dates from CL   */
If birthdate='?' Then Do
Say 'rexx bio birthdate (yyyymmdd) shows you today''s biorhythms'
Say 'or enter your birthday now'
Parse Pull birthdate
If birthdate='' Then Exit
End
If birthdate='' Then
Parse Value 19460906 20200906 With birthdate targetdate
If targetdate='' Then
targetdate=Date('S')
days=daysbet2(birthdate,targetdate)
If days==0 Then Do
Say
Say 'The two dates specified are exacty the same.'
Exit 1
End
cycles='physical emotional intellectual' /*the biorhythm cycle names   */
cycle='negative neutral positive'
period.1=23
period.2=28
period.3=33
pid2=pi()*2*days
say 'Birthdate:   ' birthdate  '('translate('gh.ef.abcd',birthdate,'abcdefgh')')'
say 'Today:       ' targetdate '('translate('gh.ef.abcd',targetdate,'abcdefgh')')'
Say 'Elapsed days:' days
Do j=1 To 3
state=2+sign(sin(pid2/period.j))  /* obtain state for each biorhythm */
Say 'biorhythm for the' right(word(cycles,j),12) 'cycle is',
word(cycle,state)
End
Exit
/*---------------------------------------------------------------------*/
pi:
pi=3.1415926535897932384626433832795028841971693993751058209749445923078
Return pi
r2r:
Return arg(1)//(pi()*2)           /* normalize radians --? a unit ci*/
/*--------------------------------------------------------------------------------------*/
sin: Procedure
Parse Arg x
x=r2r(x)
_=x
Numeric Fuzz min(5,max(1,digits()-3))
If x=pi*.5 Then
Return 1
If x==pi*1.5 Then
Return-1
If abs(x)=pi|x=0 Then
Return 0
q=x*x
z=x
Do k=2 By 2 Until p=z
p=z
_=-_*q/(k*k+k)
z=z+_
End
Return z

daysbet2: Procedure
/* compute the number of days between fromdate and todate */
Parse Arg fromdate,todate
fromday=date('B',fromdate,'S')
today=date('B',todate,'S')
```
output   when using the default dates
```Birthdate:    19460906 (06.09.1946)
Today:        20200906 (06.09.2020)
Elapsed days: 27029
biorhythm for the     physical cycle is positive
biorhythm for the    emotional cycle is positive
biorhythm for the intellectual cycle is positive```

## Ruby

```require 'date'
CYCLES = {physical: 23, emotional: 28, mental: 33}

def biorhythms(date_of_birth, target_date = Date.today.to_s)
days_alive = Date.parse(target_date) - Date.parse(date_of_birth)
CYCLES.each do |name, num_days|
cycle_day = days_alive % num_days
state = case cycle_day
when 0, num_days/2 then "neutral"
when (1.. num_days/2) then "positive"
when (num_days/2+1..num_days) then "negative"
end
puts "%-10s: cycle day %2s, %s" % [name, cycle_day.to_i, state]
end
end

biorhythms("1943-03-09", "1972-07-11")
```
Output:
```physical  : cycle day 22, negative
emotional : cycle day 21, negative
mental    : cycle day 25, negative
```

## Scala

Translation of: Java
```import java.time.LocalDate
import java.time.format.DateTimeFormatter
import java.time.temporal.ChronoUnit
import scala.collection.JavaConverters._

object Biorythms extends App {

val datePairs = List(
List("1943-03-09", "1972-07-11"),
List("1809-01-12", "1863-11-19"),
List("1809-02-12", "1863-11-19")
)

datePairs.foreach(biorhythms)

def biorhythms(aDatePair: List[String]): Unit = {
val formatter = DateTimeFormatter.ISO_LOCAL_DATE
val targetDate = LocalDate.parse(aDatePair(1), formatter)
val daysBetween = ChronoUnit.DAYS.between(birthDate, targetDate).toInt
println(s"Birth date \$birthDate, Target date \$targetDate")
println(s"Days between: \$daysBetween")

for (cycle <- Cycle.values) {
val cycleLength = cycle.length
val positionInCycle = daysBetween % cycleLength
val quadrantIndex = 4 * positionInCycle / cycleLength
val percentage = Math.round(100 * Math.sin(2 * Math.PI * positionInCycle / cycleLength)).toInt

val description = if (percentage > 95) {
"peak"
} else if (percentage < -95) {
"valley"
} else if (Math.abs(percentage) < 5) {
"critical transition"
} else {
val daysToTransition = (cycleLength * (quadrantIndex + 1) / 4) - positionInCycle
val transitionDate = targetDate.plusDays(daysToTransition)
val descriptions = cycle.descriptions(quadrantIndex).asScala
val trend = descriptions.head
val nextTransition = descriptions(1)
s"\$percentage% (\$trend, next \$nextTransition \$transitionDate)"
}

println(s"\${cycle} day \$positionInCycle: \$description")
}
println()
}

enum Cycle(val length: Int) {
case PHYSICAL extends Cycle(23)
case EMOTIONAL extends Cycle(28)
case MENTAL extends Cycle(33)

def descriptions(number: Int): java.util.List[String] = Cycle.DESCRIPTIONS.get(number)
}

object Cycle {
private val DESCRIPTIONS = java.util.List.of(
java.util.List.of("up and rising", "peak"),
java.util.List.of("up but falling", "transition"),
java.util.List.of("down and falling", "valley"),
java.util.List.of("down but rising", "transition")
)
}

}
```
Output:
```Birth date 1943-03-09, Target date 1972-07-11
Days between: 10717
PHYSICAL day 22: -27% (down but rising, next transition 1972-07-12)
EMOTIONAL day 21: valley
MENTAL day 25: valley

Birth date 1809-01-12, Target date 1863-11-19
Days between: 20034
PHYSICAL day 1: 27% (up and rising, next peak 1863-11-23)
EMOTIONAL day 14: critical transition
MENTAL day 3: 54% (up and rising, next peak 1863-11-24)

Birth date 1809-02-12, Target date 1863-11-19
Days between: 20003
PHYSICAL day 16: -94% (down and falling, next valley 1863-11-20)
EMOTIONAL day 11: 62% (up but falling, next transition 1863-11-22)
MENTAL day 5: 81% (up and rising, next peak 1863-11-22)

```

## Tcl

Works with: Wish

A graphing version using Tcl+Tk:

```#!/usr/bin/env wish
# Biorhythm calculator
set today [clock format [clock seconds] -format %Y-%m-%d ]
proc main [list birthday [list target \$today]] {
set day [days-between \$birthday \$target]

array set cycles {
Physical  {23 red}
Emotional {28 green}
Mental    {33 blue}
}

set pi [expr atan2(0,-1)]

canvas .c -width 306 -height 350 -bg black
.c create rectangle 4 49 306 251 -outline grey
.c create line 5 150 305 150 -fill grey
.c create line 145 50 145 250 -fill cyan
.c create text 145 15 -text "\$target" -fill cyan
.c create text 145 30 -text "(Day \$day)" -fill cyan
set ly 305
foreach {name data} [array get cycles] {
lassign \$data length color
.c create text 60 \$ly -anchor nw -text \$name -fill \$color
set pos [expr \$day % \$length]
for {set dd -14} {\$dd <= 16} {incr dd} {
set d [expr \$pos + \$dd]
set x [expr 145 + 10 * \$dd]
.c create line \$x 145 \$x 155 -fill grey
set v [expr sin(2*\$pi*\$d/\$length)]
set y [expr 150 - 100 * \$v]
if {\$dd == 0} {
.c create text 10 \$ly -anchor nw \
-text "[format %+04.1f%% [expr \$v * 100]]" -fill \$color
}
if [info exists ox] {
.c create line \$ox \$oy \$x \$y -fill \$color
}
set ox \$x
set oy \$y
}
unset ox oy
set ly [expr \$ly - 25]
}
pack .c
}

proc days-between {from to} {
expr int([rd \$to] - [rd \$from])
}

# parse an (ISO-formatted) date into a day number
proc rd {date} {
lassign [scan \$date %d-%d-%d] year month day
set elapsed [expr \$year - 1]
expr {\$elapsed * 365 +
floor(\$elapsed/4) -
floor(\$elapsed/100) +
floor(\$elapsed/400) +
floor( (367*\$month-362)/12 ) +
(\$month < 3 ? 0 : ([is-leap \$year] ? -1 : -2)) +
\$day}
}

proc is-leap {year} {
expr {\$year % 4 == 0 && (\$year % 100 || \$year % 400 == 0)}
}

main {*}\$argv
```
Output:

Output of

```wish br.wish 1809-02-12 1863-11-19
```

- Lincoln's biorhythms at Gettysburg:

## VBA

Translation of: Wren
```Function Biorhythm(Birthdate As Date, Targetdate As Date) As String

'Jagged Array
TextArray = Array(Array("up and rising", "peak"), Array("up but falling", "transition"), Array("down and falling", "valley"), Array("down but rising", "transition"))

DaysBetween = Targetdate - Birthdate

positionP = DaysBetween Mod 23
positionE = DaysBetween Mod 28
positionM = DaysBetween Mod 33

'return the positions - just to return something
Biorhythm = CStr(positionP) & "/" & CStr(positionE) & "/" & CStr(positionM)

quadrantP = Int(4 * positionP / 23)
quadrantE = Int(4 * positionE / 28)
quadrantM = Int(4 * positionM / 33)

percentageP = Round(100 * Sin(2 * WorksheetFunction.Pi * (positionP / 23)), 1)
percentageE = Round(100 * Sin(2 * WorksheetFunction.Pi * (positionE / 28)), 1)
percentageM = Round(100 * Sin(2 * WorksheetFunction.Pi * (positionM / 33)), 1)

transitionP = Targetdate + WorksheetFunction.Floor((quadrantP + 1) / 4 * 23, 1) - positionP
transitionE = Targetdate + WorksheetFunction.Floor((quadrantE + 1) / 4 * 28, 1) - positionE
transitionM = Targetdate + WorksheetFunction.Floor((quadrantM + 1) / 4 * 33, 1) - positionM

Select Case True
Case percentageP > 95
textP = "Physical day " & positionP & " : " & "peak"
Case percentageP < -95
textP = "Physical day " & positionP & " : " & "valley"
Case percentageP < 5 And percentageP > -5
textP = "Physical day " & positionP & " : " & "critical transition"
Case Else
textP = "Physical day " & positionP & " : " & percentageP & "% (" & TextArray(quadrantP)(0) & ", next " & TextArray(quadrantP)(1) & " " & transitionP & ")"
End Select

Select Case True
Case percentageE > 95
textE = "Emotional day " & positionE & " : " & "peak"
Case percentageE < -95
textE = "Emotional day " & positionE & " : " & "valley"
Case percentageE < 5 And percentageE > -5
textE = "Emotional day " & positionE & " : " & "critical transition"
Case Else
textE = "Emotional day " & positionE & " : " & percentageE & "% (" & TextArray(quadrantE)(0) & ", next " & TextArray(quadrantE)(1) & " " & transitionE & ")"
End Select

Select Case True
Case percentageM > 95
textM = "Mental day " & positionM & " : " & "peak"
Case percentageM < -95
textM = "Mental day " & positionM & " : " & "valley"
Case percentageM < 5 And percentageM > -5
textM = "Mental day " & positionM & " : " & "critical transition"
Case Else
textM = "Mental day " & positionM & " : " & percentageM & "% (" & TextArray(quadrantM)(0) & ", next " & TextArray(quadrantM)(1) & " " & transitionM & ")"
End Select

Header1Text = "Born " & Birthdate & ", Target " & Targetdate
Header2Text = "Day " & DaysBetween

'Print Result
Debug.Print textP
Debug.Print textE
Debug.Print textM
Debug.Print ""

End Function```
Output:
```Born 09.03.1943, Target 11.07.1972
Day 10717
Physical day 22 : -27% (down but rising, next transition 12.07.1972)
Emotional day 21 : valley
Mental day 25 : valley

Born 12.02.1809, Target 19.11.1863
Day 20003
Physical day 16 : -94.2% (down and falling, next valley 20.11.1863)
Emotional day 11 : 62.3% (up but falling, next transition 22.11.1863)
Mental day 5 : 81.5% (up and rising, next peak 22.11.1863)

Born 12.01.1809, Target 19.11.1863
Day 20034
Physical day 1 : 27% (up and rising, next peak 23.11.1863)
Emotional day 14 : critical transition
Mental day 3 : 54.1% (up and rising, next peak 24.11.1863)
```

## V (Vlang)

Translation of: Go
```import time
import math

const cycles = ["Physical day ", "Emotional day", "Mental day   "]
const lengths = [23, 28, 33]
const quadrants = [
["up and rising", "peak"],
["up but falling", "transition"],
["down and falling", "valley"],
["down but rising", "transition"],
]

// Parameters assumed to be in YYYY-MM-DD format.
fn biorhythms(birth_date string, target_date string) ? {
bd := time.parse_iso8601(birth_date)?
td := time.parse_iso8601(target_date)?
days := int((td-bd).hours() / 24)
println("Born \$birth_date, Target \$target_date")
println("Day \$days")
for i in 0..3 {
length := lengths[i]
cycle := cycles[i]
position := days % length
quadrant := position * 4 / length
mut percent := math.sin(2 * math.pi * f64(position) / f64(length))
percent = math.floor(percent*1000) / 10
mut descript := ""
if percent > 95 {
descript = " peak"
} else if percent < -95 {
descript = " valley"
} else if math.abs(percent) < 5 {
descript = " critical transition"
} else {
transition := td.add(time.hour * 24 * time.Duration(days_to_add))
trans_str := transition.custom_format('YYYY-MM-DD')
descript = "\${percent:5.1f}% (\$trend, next \$next \$trans_str)"
}
println("\$cycle \${position:2} : \$descript")
}
println('')
}

fn main() {
date_pairs := [
["1943-03-09", "1972-07-11"],
["1809-01-12", "1863-11-19"],
["1809-02-12", "1863-11-19"], // correct DOB for Abraham Lincoln
]
for date_pair in date_pairs {
biorhythms(date_pair[0], date_pair[1])?
}
}```
Output:
```Born 1943-03-09, Target 1972-07-11
Day 10717
Physical day  22 : -27.0% (down but rising, next transition 1972-07-12)
Emotional day 21 :  valley
Mental day    25 :  valley

Born 1809-01-12, Target 1863-11-19
Day 20034
Physical day   1 :  26.9% (up and rising, next peak 1863-11-23)
Emotional day 14 :  critical transition
Mental day     3 :  54.0% (up and rising, next peak 1863-11-24)

Born 1809-02-12, Target 1863-11-19
Day 20003
Physical day  16 : -94.3% (down and falling, next valley 1863-11-20)
Emotional day 11 :  62.3% (up but falling, next transition 1863-11-22)
Mental day     5 :  81.4% (up and rising, next peak 1863-11-22)
```

## Wren

Translation of: Raku
Library: Wren-date
Library: Wren-fmt
```import "./date" for Date
import "./fmt" for Fmt

var cycles = ["Physical day ", "Emotional day", "Mental day   "]
var lengths = [23, 28, 33]
var quadrants = [
["up and rising",    "peak"],
["up but falling",   "transition"],
["down and falling", "valley"],
["down but rising",  "transition"]
]

var biorhythms = Fn.new { |birthDate, targetDate|
var bd = Date.parse(birthDate)
var td = Date.parse(targetDate)
var days = (td - bd).days
Date.default = Date.isoDate
System.print("Born %(birthDate), Target %(targetDate)")
System.print("Day %(days)")
for (i in 0..2) {
var length   = lengths[i]
var cycle    = cycles[i]
var position = days % length
var quadrant = (position / length * 4).floor
var percent  = ((2 * Num.pi * position / length).sin * 1000).floor / 10
var descript = (percent > 95)    ? " peak" :
(percent < -95)   ? " valley" :
(percent.abs < 5) ? " critical transition" : "other"
if (descript == "other") {
var transition  = td.addDays(((quadrant + 1) / 4 * length).floor - position)
var trend = tn[0]
var next = tn[1]
descript = Fmt.swrite("\$5.1f\% (\$s, next \$s \$s)", percent, trend, next, transition)
}
Fmt.print("\$s \$2d : \$s", cycle, position, descript)
}
System.print()
}

var datePairs = [
["1943-03-09", "1972-07-11"],
["1809-01-12", "1863-11-19"],
["1809-02-12", "1863-11-19"]  // correct DOB for Abraham Lincoln
]
for (datePair in datePairs) biorhythms.call(datePair[0], datePair[1])
```
Output:
```Born 1943-03-09, Target 1972-07-11
Day 10717
Physical day  22 : -27.0% (down but rising, next transition 1972-07-12)
Emotional day 21 :  valley
Mental day    25 :  valley

Born 1809-01-12, Target 1863-11-19
Day 20034
Physical day   1 :  26.9% (up and rising, next peak 1863-11-23)
Emotional day 14 :  critical transition
Mental day     3 :  54.0% (up and rising, next peak 1863-11-24)

Born 1809-02-12, Target 1863-11-19
Day 20003
Physical day  16 : -94.3% (down and falling, next valley 1863-11-20)
Emotional day 11 :  62.3% (up but falling, next transition 1863-11-22)
Mental day     5 :  81.4% (up and rising, next peak 1863-11-22)
```