[Post] C/C ++ mathematical functions

ABS

 

Prototype: extern int ABS (int x );

Usage: # include <math. h>

Function: calculates the absolute value of integer x.

Description: calculation | x |. If X is not negative, X is returned. Otherwise,-X is returned.

Example:

// Abs. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Int X;

Clrscr (); // clear screen

X =-5;
Printf ("| % d | = % d/N", X, ABS (x ));
X = 0;
Printf ("| % d | = % d/N", X, ABS (x ));
X = + 5;
Printf ("| % d | = % d/N", X, ABS (x ));

Getchar ();
Return 0;
}

Related functions: FABS

 

ACOs

 

Prototype: extern float ACOs (float X );

Usage: # include <math. h>

Function: returns the arc cosine of X (expressed in radians ).

Note: The value range of X is [-1.0, 1.0], and the value range is [0, π].

Example:

// ACOs. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = 0.32;
Printf ("ACOs (%. 2f) = %. 4f", X, ACOs (x ));

Getchar ();
Return 0;
}

Related functions: asin, atan, atan2, sin, cos, Tan

 

Asin

 

Prototype: extern float asin (float X );

Usage: # include <math. h>

Function: returns the arc sine of X (in radians ).

Note: The definition field of X is [-1.0, 1.0], and the value range is [-π/2, + π/2].

Example:

// Asin. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = 0.32;
Printf ("asin (%. 2f) = %. 4f", X, asin (x ));

Getchar ();
Return 0;
}

Related functions: ACOs, atan, atan2, sin, cos, Tan

 

 

Atan

 

Prototype: extern float atan (float X );

Usage: # include <math. h>

Function: returns the arc tangent of X (expressed in radians ).

Note: The value range is (-π/2, + π/2 ).

Example:

// Atan. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = 0.32;
Printf ("atan (%. 2f) = %. 4f", X, atan (x ));

Getchar ();
Return 0;
}

Related functions: asin, ACOs, atan2, sin, cos, Tan

 

Atan2

 

Prototype: extern float atan2 (float y, float X );

Usage: # include <math. h>

Function: Calculate the arc tangent value of Y/X (expressed in radians ).

Note: The value range is (-π/2, + π/2 ).

Example:

// Atan2.c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X, Y;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = 0.064;
Y = 0.2;
Printf ("atan2 (%. 3f, %. 2f) = %. 4f", Y, X, atan2 (Y, x ));

Getchar ();
Return 0;
}

Related functions: asin, ACOs, atan, sin, cos, Tan

 

Ceil

 

Prototype: extern float Ceil (float X );

Usage: # include <math. h>

Function: minimum integer not less than X

Note: The upper limit of X is returned. For example, the upper limit of 74.12 is 75, and the upper limit of-74.12 is-74. The returned value is of the float type.

Example:

// Ceil. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = 74.12;
Printf ("Ceil (%. 2f) = %. 0f/N", X, Ceil (x ));
X =-74.12;
Printf ("Ceil (%. 2f) = %. 0f/N", X, Ceil (x ));

Getchar ();
Return 0;
}

Related functions: Floor

 

Cos

 

Prototype: extern float cos (float X );

Usage: # include <math. h>

Function: returns the cosine of X in radians.

Note: The returned values are between [-1.0, 1.0.

Example:

// Cos. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = PI/4 .;
Printf ("cos (%. 4f) = %. 4f/N", X, cos (x ));

Getchar ();
Return 0;
}

Related functions: asin, ACOs, atan, atan2, sin, Tan

 

Cosh

 

Prototype: extern float cosh (float X );

Usage: # include <math. h>

Function: returns the hyperbolic cosine of X.

Note: cosh (x) = (E ^ x + e ^ (-x)/2

Example:

// Cosh. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = PI/4 .;
Printf ("cosh (%. 4f) = %. 4f/N", X, cosh (x ));

Getchar ();
Return 0;
}

Related functions: Sinh, tanh

 

Exp

 

Prototype: extern float exp (float X );

Usage: # include <math. h>

Function: Calculate the X power of E.

Note: E = 2. 718281828...

Example:

// Exp. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

Printf ("e = % F/N", exp (1.0 ));

Getchar ();
Return 0;
}

Related functions: None

 

FABS

 

Prototype: extern float FABS (float X );

Usage: # include <math. h>

Function: calculates the absolute value of floating point X.

Description: calculation | x |. If X is not negative, X is returned. Otherwise,-X is returned.

Example:

// FABS. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X =-74.12;
Printf ("| % F | = % F/N", X, FABS (x ));
X = 0;
Printf ("| % F | = % F/N", X, FABS (x ));
X = 74.12;
Printf ("| % F | = % F/N", X, FABS (x ));

Getchar ();
Return 0;
}

Related functions: ABS

 

Floor

 

Prototype: extern float floor (float X );

Usage: # include <math. h>

Function: calculates the maximum integer not greater than X.

Note: return the lower limit of X. For example, the lower limit of 74.12 is 74 and the lower limit of-74.12 is-75. The returned value is of the float type.

Example:

// Floor. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = 74.12;
Printf ("floor (%. 2f) = %. 0f/N", X, floor (x ));
X =-74.12;
Printf ("floor (%. 2f) = %. 0f/N", X, floor (x ));

Getchar ();
Return 0;
}

Related functions: ceil

 

Fmod

 

Prototype: extern float fmod (float X, float y );

Usage: # include <math. h>

Function: calculates the remainder of x/y.

Returns X-N * y, with the same symbol as Y. N = [x/y] (rounded to the left zero)

Example:

// Fmod. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X, Y;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = 74.12;
Y = 6.4;
Printf ("74.12/6.4: % F/N", fmod (x, y ));
X = 74.12;
Y =-6.4;
Printf ("74.12/(-6.4): % F/N", fmod (x, y ));

Getchar ();
Return 0;
}

Related functions: None

 

Frexp

 

Prototype: extern float frexp (float X, int * exp );

Usage: # include <math. h>

Function: splits floating point X into the ending number and the index.

Note: x = m * 2 ^ exp, M is a normalized decimal. Returns m of the ending number and stores the exponent in Exp.

Example:

// Frexp. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;
Int exp;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = frexp (64.0, & exp );
Printf ("64 = %. 2f * 2 ^ % d", X, exp );

Getchar ();
Return 0;
}

Related functions: ldexp and MODF

 

Hypot

 

Prototype: extern float hypot (float X, float y );

Usage: # include <math. h>

Function: determine the length of the oblique side for the two straight corner edges of a given right triangle.

Description: return the oblique edge value.

Example:

// Hypot. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

Printf ("3 ^ 2 + 4 ^ 2 = %. 0f ^ 2/N", hypot (3., 4 .));
Printf ("3.2 ^ 2 + 4.3 ^ 2 = %. 2f ^ 2", hypot (x, y ));

Getchar ();
Return 0;
}

Related functions: frexp and ldexp

 

Ldexp

 

Prototype: extern float ldexp (float X, int exp );

Usage: # include <math. h>

Function: loads floating point numbers.

Returns x * 2 ^ exp.

Example:

// Ldexp. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = ldexp (1.0, 6); // 1.0*2 ^ 6
Printf ("2 ^ 6 = %. 2f", X );

Getchar ();
Return 0;
}

Related functions: frexp and MODF

 

Log

 

Prototype: extern float log (float X );

Usage: # include <math. h>

Function: Calculate the natural logarithm of X.

Note: The value of X must be greater than zero.

Example:

// Log. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

Printf ("ln (e) = % F/N", log (m_e); // m_e is 2. 71828..., defined in math. h

Getchar ();
Return 0;
}

Related functions: log10

 

Log10

 

Prototype: extern float log10 (float X );

Usage: # include <math. h>

Function: Calculate the common logarithm of X.

Note: The value of X must be greater than zero.

Example:

// Log10.c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

Printf ("lg (5) = % F/N", log10 (5.0 ));

Getchar ();
Return 0;
}

Related functions: Log

 

 

MODF

 

Prototype: extern float MODF (float num, float * I );

Usage: # include <math. h>

Function: splits the floating point num into integer and decimal parts.

Description: returns the fractional part, which is stored in the memory indicated by * I.

Example:

// MODF. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X, I;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = MODF (-74.12, & I );
Printf ("-74.12 = %. 0f + (%. 2f)", I, X );

Getchar ();
Return 0;
}

Related functions: frexp and ldexp

 

Pow10

 

Prototype: extern float pow10 (float X );

Usage: # include <math. h>

Function: Calculate the X power of 10.

Note: It is equivalent to POW (10.0, X ).

Example:

// Pow10.c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

Printf ("10 ^ 3.2 = % F/N", power10 (3.2 ));
Printf ("10 ^ 3.2 = % F", POW (10, 3.2 ));

Getchar ();
Return 0;
}

Related functions: pow

 

POW

 

Prototype: extern float POW (float X, float y );

Usage: # include <math. h>

Function: Calculate the Power Y of X.

NOTE: If X is greater than zero, the result of the power index is returned.

Example:

// Pow. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

Printf ("4 ^ 5 = % F", POW (4., 5 .));

Getchar ();
Return 0;
}

Related functions: pow10

 

Sin

 

Prototype: extern float sin (float X );

Usage: # include <math. h>

Function: Calculate the sine of X (expressed in radians.

Note: The value range of X is [-1.0, 1.0].

Example:

// Sin. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = m_pi/2; // m_pi = Pi = 3. 14159265..., defined in math. h
Printf ("Sin (PI/2) = % F", sin (x ));

Getchar ();
Return 0;
}

Related functions: asin, ACOs, atan, atan2, cos, Tan

 

 

Sinh

 

Prototype: extern float sinh (float X );

Usage: # include <math. h>

Function: calculates the hyperbolic sine of X (expressed in radians.

Note: sinh (x) = (E ^ X-e ^ (-x)/2.

Example:

// Sinh. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = PI/4 .;
Printf ("sinh (%. 4f) = %. 4f/N", X, sinh (x ));

Getchar ();
Return 0;
}

Related functions: cosh, tanh

 

SQRT

 

Prototype: extern float SQRT (float X );

Usage: # include <math. h>

Function: calculates the square root of X.

Note: X must be greater than or equal to zero.

Example:

// SQRT. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

Printf ("SQRT (2000) = % F", SQRT (2000.0 ));

Getchar ();
Return 0;
}

Related functions: None

 

Tan

 

Prototype: extern float Tan (float X );

Usage: # include <math. h>

Function: calculates the tangent of X (expressed in radians.

Returns the tangent of X.

Example:

// Tan. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;
Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = m_pi/4; // m_pi = Pi = 3. 14159265..., defined in math. h
Printf ("Tan (PI/4) = % F", Tan (x ));

Getchar ();
Return 0;
}

Related functions: asin, ACOs, atan, atan2, sin, cos

 

Tanh

 

Prototype: extern float Tanh (float X );

Usage: # include <math. h>

Function: returns the hyperbolic tangent of X.

Note: Tanh (x) = (E ^ X-e ^ (-x)/(E ^ 2 + e ^ (-x ))

Example:

// Tanh. c

# Include <syslib. h>
# Include <math. h>

Main ()
{
Float X;

Clrscr (); // clear screen
Textmode (0x00); // 6 lines per LCD screen

X = PI/4 .;
Printf ("Tanh (%. 4f) = %. 4f/N", X, Tanh (x ));

Getchar ();
Return 0;
}

Related functions: Sinh, cosh