home.md

@@ -24,141 +24,4 @@ Generic name of a function is `wderiv_operation_Nd_t`, where:
   * `3` for [3D problems](Derivatives#3d-derivatives)
 * `t`:
   * `r` for real problems
-  * `c` for complex problems
-# Function Documentation
+  * `c` for complex problems
\ No newline at end of file
-## 3D derivatives:
-### Basic 3D derivative function:
-```c
-int wderiv_derivative_3d_r(int direction, int n, double *f, double *deriv)
-```
-Function computes n-th derivative with respect to `direction` of 3D real function $`f(x,y,z)`$: $`\frac{\partial^n f}{\partial t^n}`$.   
- * `direction` - predefined integer corresponding to direction of derivative: `WDERIV_DX` or `WDERIV_DY` or `WDERIV_DZ`
- * `f` - pointer to input function which is array of size [nx\*ny\*nz]
- * `deriv` - pointer to output derivative function which is array of size [nx\*ny\*nz]
- * `return` - error code
-
-`deriv` can be the same pointer as `f`, then result overwrites input. 
-### First 3D derivative functions:
-```c
-int wderiv_dfdx_3d_r(double *f, double *dfdx)
-```
-Function computes first derivative with respect to $`x`$ of 3D real function $`f(x,y,z)`$: $`\frac{\partial f}{\partial x}`$.   
- * `f` - pointer to input function which is array of size [nx\*ny\*nz]
- * `dfdx` - pointer to output derivative function which is array of size [nx\*ny\*nz]
- * `return` - error code
-
-`dfdx` can be the same pointer as `f`, then result overwrites input. 
- 
-```c
-int wderiv_dfdy_3d_r(double *f, double *dfdy)
-```
-Function computes first derivative with respect to $`y`$ of 3D real function $`f(x,y,z)`$: $`\frac{\partial f}{\partial y}`$.   
- * `f` - pointer to input function which is array of size [nx*ny*nz]
- * `dfdy` - pointer to output derivative function which is array of size [nx*ny*nz]
- * `return` - error code
-
-`dfdy` can be the same pointer as `f`, then result overwrites input. 
- 
-```c
-int wderiv_dfdz_3d_r(double *f, double *dfdz)
-```
-Function computes first derivative with respect to $`z`$ of 3D real function $`f(x,y,z)`$: $`\frac{\partial f}{\partial x}`$.   
- * `f` - pointer to input function which is array of size [nx*ny*nz]
- * `dfdz` - pointer to output derivative function which is array of size [nx*ny*nz]
- * `return` - error code
-
-`dfdz` can be the same pointer as `f`, then result overwrites input. 
-### Second 3D derivative functions:
-```c
-int wderiv_d2fdx2_3d_r(double *f, double *d2fdx2)
-```
-Function computes second derivative with respect to $`x`$ of 3D real function $`f(x,y,z)`$: $`\frac{\partial^2 f}{\partial x^2}`$.   
- * `f` - pointer to input function which is array of size [nx\*ny\*nz]
- * `d2fdx2` - pointer to output derivative function which is array of size [nx\*ny\*nz]
- * `return` - error code
-
-`d2fdx2` can be the same pointer as `f`, then result overwrites input. 
- 
-```c
-int wderiv_d2fdy2_3d_r(double *f, double *d2fdy2)
-```
-Function computes second derivative with respect to $`y`$ of 3D real function $`f(x,y,z)`$: $`\frac{\partial^2 f}{\partial y^2}`$.   
- * `f` - pointer to input function which is array of size [nx\*ny\*nz]
- * `d2fdy2` - pointer to output derivative function which is array of size [nx\*ny\*nz]
- * `return` - error code
-
-`d2fdy2` can be the same pointer as `f`, then result overwrites input. 
- 
-```c
-int wderiv_d2fdz2_3d_r(double *f, double *d2fdz2)
-```
-Function computes second derivative with respect to $`z`$ of 3D real function $`f(x,y,z)`$: $`(\frac{d^2f}{dz^2})`$.   
- * `f` - pointer to input function which is array of size [nx*ny*nz]
- * `d2fdz2` - pointer to output derivative function which is array of size [nx*ny*nz]
- * `return` - error code
-
-`d2fdz2` can be the same pointer as `f`, then result overwrites input. 
-### n-th 3D derivative functions:
-```c
-int wderiv_dnfdxn_3d_r(int n, double *f, double *dnfdxn)
-```
-Function computes n-th derivative with respect to $`x`$ of 3D real function $`f(x,y,z)`$: $`(\frac{d^nf}{dx^n})`$.   
- * `f` - pointer to input function which is array of size [nx*ny*nz]
- * `dnfdxn` - pointer to output derivative function which is array of size [nx*ny*nz]
- * `return` - error code
-
-`dnfdxn` can be the same pointer as `f`, then result overwrites input. 
- 
-```c
-int wderiv_dnfdyn_3d_r(int n, double *f, double *dnfdyn)
-```
-Function computes n-th derivative with respect to $`y`$ of 3D real function $`f(x,y,z)`$: $`(\frac{d^nf}{dy^n})`$.   
- * `f` - pointer to input function which is array of size [nx*ny*nz]
- * `dnfdyn` - pointer to output derivative function which is array of size [nx*ny*nz]
- * `return` - error code
-
-`dnfdyn` can be the same pointer as `f`, then result overwrites input. 
-
- 
-```c
-int wderiv_dnfdzn_3d_r(int n, double *f, double *dnfdzn)
-```
-Function computes n-th derivative with respect to $`z`$ of 3D real function $`f(x,y,z)`$: $`(\frac{d^nf}{dz^n})`$.   
- * `f` - pointer to input function which is array of size [nx*ny*nz]
- * `dnfdzn` - pointer to output derivative function which is array of size [nx*ny*nz]
- * `return` - error code
-
-`dnfdzn` can be the same pointer as `f`, then result overwrites input. 
-
-/**
- * Function computes gradient
- * of 3D real function f(x,y,z)   
- * @param f pointer to function, array of size [nx*ny*nz] (INPUT)
- * @param dfdx pointer to function, array of size [nx*ny*nz] (OUTPUT)
- * @param dfdy pointer to function, array of size [nx*ny*nz] (OUTPUT)
- * @param dfdz pointer to function, array of size [nx*ny*nz] (OUTPUT)
- * @return error code
- * */
-int wderiv_gradient_3d_r(double *f, double *dfdx, double *dfdy, double *dfdz);
-
-/**
- * Function computes second derivative with respect to z (d^2f/dz^2)
- * of 3D complex function f(x,y,z)   
- * @param f pointer to function, array of size [nx*ny*nz] (INPUT)
- * @param d2fdz2 pointer to function, array of size [nx*ny*nz] (OUTPUT)
- *                NOTE: d2fdz2 can be the same pointer as f, then result overwrites input 
- * @return error code
- * */
-int wderiv_d2fdz2_3d_c(double complex *f, double complex *d2fdz2);
-
-/**
- * Function computes n-th derivative with respect to x (d^nf/dx^n)
- * of 1D complex function f(x)   
- * @param n order of derivative
- * @param f pointer to function, array of size [nx] (INPUT)
- * @param dnfdxn pointer to function, array of size [nx] (OUTPUT)
- *                NOTE: dnfdxn can be the same pointer as f, then result overwrites input 
- * @return error code
- * */
-int wderiv_dnfdxn_1d_c(int n, double complex *f, double complex *dnfdxn);
-```