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Floats

This part of ikarus implements support for 32 bit IEEE 754 floats in Daedalus. The script was originally created to edit zFLOAT and zREAL variables, but can also be used to arithmetic operations on real float values (not to be confused with Daedalus floats).

Initialization

The best way to initialize all Ikarus functions is to call MEM_InitAll() in the Init_Global() initialization function.

Warning

If you want to use Ikarus in Gothic 1, it is best to define your own Init_Global() function and call it from every world initialization function.

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MEM_InitAll();

Implementation

float.d on GitHub

Functions

Danger

Ikarus floats are saved as int but it doesn't mean that you can use arithmetic operators on them. All operations on floats must be done with functions listed below.

mkf

mkf

(make float) Converts the input integer x to a float value. 

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func int mkf(var int x)
Parameters
  • var int x
    The input integer

Return value

The function returns the float representation of the input integer x.

truncf

truncf

(truncate float) Truncates the decimal part of the input float x. 

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func int truncf(var int x)
Parameters
  • var int x
    The input float

Return value

The function returns the integer part of the input float x by discarding the decimal part.

roundf

roundf

(round float) Rounds the input float x to the nearest integer value. 

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func int roundf(var int x)
Parameters
  • var int x
    The input float

Return value

The function returns the nearest integer value to the input float x. If the decimal part is exactly halfway between two integers, the function rounds to the nearest even integer.

addf

addf

(add floats) Adds two ikarus floats together. 

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func int addf(var int x, var int y)
Parameters
  • var int x
    The first float
  • var int y
    The second float

Return value

The function returns the sum of the input floats x and y. (x + y)

subf

subf

(subtract floats) Subtracts the second float from the first float. 

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func int subf(var int x, var int y)
Parameters
  • var int x
    The first float
  • var int y
    The second float

Return value

The function returns the difference between the first float x and the second float y. (x - y)

negf

negf

(negate float) Negates the input float. 

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func int negf(var int x)
Parameters
  • var int x
    The input float

Return value

The function returns the negation of the input float x.

mulf

mulf

(multiply floats) Multiplies two ikarus floats. 

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func int mulf(var int x, var int y)
Parameters
  • var int x
    The first float
  • var int y
    The second float

Return value

The function returns the product of multiplying the input floats x and y. (x * y)

divf

divf

(divide floats) Divides two ikarus floats. 

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func int divf(var int x, var int y)
Parameters
  • var int x
    The dividend float
  • var int y
    The divisor float

Return value

The function returns the quotient of dividing the input float x by y. (x / y)

invf

invf

(inverse float) Computes the inverse of the input float. 

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func int invf(var int x)
Parameters
  • var int x
    The input float

Return value

The function returns the inverse of the x, calculated as 1/x.

gf

gf

(greater) Checks if the first float is greater than the second float. 

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func int gf(var int x, var int y)
Parameters
  • var int x
    The first float
  • var int y
    The second float

Return value

The function returns TRUE if x is greater than y, FALSE is returned otherwise.

gef

gef

(greater or equal) Checks if the first float is greater than or equal to the second float. 

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func int gef(var int x, var int y)
Parameters
  • var int x
    The first float
  • var int y
    The second float

Return value

The function returns TRUE if x is greater than or equal to y, FALSE is returned otherwise.

lf

lf

(lower) Checks if the first float is less than the second float. 

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func int lf(var int x, var int y)
Parameters
  • var int x
    The first float
  • var int y
    The second float

Return value

The function returns TRUE if x is less than y, FALSE is returned otherwise.

lef

lef

(lower or equal) Checks if the first float is less than or equal to the second float. 

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func int lef(var int x, var int y)
Parameters
  • var int x
    The first float
  • var int y
    The second float

Return value

The function returns TRUE if x is less than or equal to y, FALSE is returned otherwise.

sqrf

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!!! function "`sqrf`"
(square float) Calculates the square of the float.
```dae
func int sqrf(var int x)
```
**Parameters**

- `#!dae var int x`  
    The input float

**Return value**

The function returns the square of the input float `x`, computed as `x * x`.

sqrtf

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!!! function "`sqrtf`"
(square root float) Calculates the square root of the float.
```dae
func int sqrtf(var int x)
```
**Parameters**

- `#!dae var int x`  
    The input float

**Return value**

The function returns the square root of the input float `x`.

sqrtf_approx

sqrtf_approx

Calculates the approximate square root of a float. 

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func int sqrtf_approx(var int f)
Parameters
  • var int f
    The input float

Return value

The function returns the approximate square root of the input float as an ikarus float.

absf

absf

(absolute value) Computes the absolute value of a float. 

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func int absf(var int x)
Parameters
  • var int x
    The input float

Return value

The function returns the absolute value of the input float x, which is the value without the negative sign (if present).

fracf

fracf

(fraction) Computes the fraction of two integers p and q. 

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func int fracf(var int p, var int q)
Parameters
  • var int p
    Numerator
  • var int q
    Denominator

Return value

The function returns the fraction of p divided by q as an ikarus float.

castFromIntf

castFromIntf

Converts an ikarus float to a Daedalus float. 

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func float castFromIntf(var int f)
Parameters
  • var int f
    Ikarus float

Return Value

The function returns the value f as a Daedalus float.

castToIntf

castToIntf

Converts a Daedalus float to an ikarus float. 

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func int castToIntf(var float f)
Parameters
  • var float f
    Daedalus float

Return Value

The function returns the value f as an ikarus float.

toStringf

toStringf

Converts a float value to its string representation. 

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func string toStringf(var int x)
Parameters
  • var int x
    Input float value

Return value

The function returns a string representation of the input float value.

printf

printf

(print float) Prints the float on screen using Print(). 

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func void printf(var int x)
Parameters
  • var int x
    The printed float

Examples

Simple operations

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var int float1; float1 = mkf(5);        // Create an Ikarus float with value 5
var int float2; float2 = mkf(2);        // Create an Ikarus float with value 2

var int addResult; addResluts  = addf(float1, float2);     // Add float1 and float2
var int subResult; subResults  = subf(float1, float2);     // Subtract float2 from float1
var int mulResult; mulRelsults = mulf(float1, float2);     // Multiply float1 by float2
var int divResult; divResults  = divf(float1, float2);     // Divide float1 by float2

printf(addResult);   // Output: 7
printf(subResult);   // Output: 3
printf(mulResult);   // Output: 10
printf(divResult);   // Output: 2.5