# Vector Ceiling

## Function Prototype

/* Vector Ceiling */
/* Type: simple */
/* Input arrays: 1    Options: 0    Output arrays: 1 */
/* Inputs: real */
/* Options: none */
/* Outputs: ceil */
int ti_ceil_start(TI_REAL const *options);
int ti_ceil(int size,
TI_REAL const *const *inputs,
TI_REAL const *options,
TI_REAL *const *outputs);

## Description

This documentation is still a work in progress. It has omissions, and it probably has errors too. If you see any issues, or have any general feedback, please get in touch.

Vector Ceiling applies the ceiling function to each input in the input array. The ceiling function returns the smallest following integer from the input. e.g. ceil(x) is the smallest integer greater than or equal to x.

$$ceil_{t} = \lceil input_{t} \rceil$$

## Example Usage

### Calling From C

/* Example usage of Vector Ceiling */
/* Assuming that 'input' is a pre-loaded array of size 'in_size'. */
TI_REAL *inputs[] = {input};
TI_REAL options[] = {}; /* No options */
TI_REAL *outputs[1]; /* ceil */

/* Determine how large the output size is for our options. */
const int out_size = in_size - ti_ceil_start(options);

/* Allocate memory for output. */
outputs[0] = malloc(sizeof(TI_REAL) * out_size); assert(outputs[0] != 0); /* ceil */

/* Run the actual calculation. */
const int ret = ti_ceil(in_size, inputs, options, outputs);
assert(ret == TI_OKAY);


### Calling From Lua (with Tulip Chart bindings)

-- Example usage of Vector Ceiling
ceil = ti.ceil(input)


## Example Calculation

dateinputceil
2005-11-0181.5982.00
2005-11-0281.0682.00
2005-11-0382.8783.00
2005-11-0483.0083.00
2005-11-0783.6184.00
2005-11-0883.1584.00
2005-11-0982.8483.00
2005-11-1083.9984.00
2005-11-1184.5585.00
2005-11-1484.3685.00
2005-11-1585.5386.00
2005-11-1686.5487.00
2005-11-1786.8987.00
2005-11-1887.7788.00
2005-11-2187.2988.00

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