/*
       Contains the data structure for drawing scatter plots
    graphs in a window with an axis. This is intended for scatter
    plots that change dynamically.
*/

#include <petscdraw.h>              /*I "petscdraw.h" I*/
#include <petsc/private/drawimpl.h> /*I "petscsys.h" I*/

PetscClassId PETSC_DRAWSP_CLASSID = 0;

/*@C
  PetscDrawSPCreate - Creates a scatter plot data structure.

  Collective

  Input Parameters:
+ draw - the window where the graph will be made.
- dim  - the number of sets of points which will be drawn

  Output Parameter:
. drawsp - the scatter plot context

  Level: intermediate

  Notes:
  Add points to the plot with `PetscDrawSPAddPoint()` or `PetscDrawSPAddPoints()`; the new points are not displayed until `PetscDrawSPDraw()` is called.

  `PetscDrawSPReset()` removes all the points that have been added

  `PetscDrawSPSetDimension()` determines how many point curves are being plotted.

  The MPI communicator that owns the `PetscDraw` owns this `PetscDrawSP`, and each process can add points. All MPI ranks in the communicator must call `PetscDrawSPDraw()` to display the updated graph.

.seealso: `PetscDrawLGCreate()`, `PetscDrawLG`, `PetscDrawBarCreate()`, `PetscDrawBar`, `PetscDrawHGCreate()`, `PetscDrawHG`, `PetscDrawSPDestroy()`, `PetscDraw`, `PetscDrawSP`, `PetscDrawSPSetDimension()`, `PetscDrawSPReset()`,
          `PetscDrawSPAddPoint()`, `PetscDrawSPAddPoints()`, `PetscDrawSPDraw()`, `PetscDrawSPSave()`, `PetscDrawSPSetLimits()`, `PetscDrawSPGetAxis()`, `PetscDrawAxis`, `PetscDrawSPGetDraw()`
@*/
PetscErrorCode PetscDrawSPCreate(PetscDraw draw, int dim, PetscDrawSP *drawsp)
{
  PetscDrawSP sp;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(draw, PETSC_DRAW_CLASSID, 1);
  PetscAssertPointer(drawsp, 3);

  PetscCall(PetscHeaderCreate(sp, PETSC_DRAWSP_CLASSID, "DrawSP", "Scatter Plot", "Draw", PetscObjectComm((PetscObject)draw), PetscDrawSPDestroy, NULL));
  PetscCall(PetscObjectReference((PetscObject)draw));
  sp->win       = draw;
  sp->view      = NULL;
  sp->destroy   = NULL;
  sp->nopts     = 0;
  sp->dim       = -1;
  sp->xmin      = 1.e20;
  sp->ymin      = 1.e20;
  sp->zmin      = 1.e20;
  sp->xmax      = -1.e20;
  sp->ymax      = -1.e20;
  sp->zmax      = -1.e20;
  sp->colorized = PETSC_FALSE;
  sp->loc       = 0;

  PetscCall(PetscDrawSPSetDimension(sp, dim));
  PetscCall(PetscDrawAxisCreate(draw, &sp->axis));

  *drawsp = sp;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPSetDimension - Change the number of points that are added at each  `PetscDrawSPAddPoint()`

  Not Collective

  Input Parameters:
+ sp  - the scatter plot context.
- dim - the number of point curves on this process

  Level: intermediate

.seealso: `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPAddPoint()`, `PetscDrawSPAddPoints()`
@*/
PetscErrorCode PetscDrawSPSetDimension(PetscDrawSP sp, int dim)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  if (sp->dim == dim) PetscFunctionReturn(PETSC_SUCCESS);
  sp->dim = dim;
  PetscCall(PetscFree3(sp->x, sp->y, sp->z));
  PetscCall(PetscMalloc3(dim * PETSC_DRAW_SP_CHUNK_SIZE, &sp->x, dim * PETSC_DRAW_SP_CHUNK_SIZE, &sp->y, dim * PETSC_DRAW_SP_CHUNK_SIZE, &sp->z));
  sp->len = dim * PETSC_DRAW_SP_CHUNK_SIZE;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPGetDimension - Get the number of sets of points that are to be drawn at each `PetscDrawSPAddPoint()`

  Not Collective

  Input Parameter:
. sp - the scatter plot context.

  Output Parameter:
. dim - the number of point curves on this process

  Level: intermediate

.seealso: `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPAddPoint()`, `PetscDrawSPAddPoints()`
@*/
PetscErrorCode PetscDrawSPGetDimension(PetscDrawSP sp, int *dim)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  PetscAssertPointer(dim, 2);
  *dim = sp->dim;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPReset - Clears scatter plot to allow for reuse with new data.

  Not Collective

  Input Parameter:
. sp - the scatter plot context.

  Level: intermediate

.seealso: `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPAddPoint()`, `PetscDrawSPAddPoints()`, `PetscDrawSPDraw()`
@*/
PetscErrorCode PetscDrawSPReset(PetscDrawSP sp)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  sp->xmin  = 1.e20;
  sp->ymin  = 1.e20;
  sp->zmin  = 1.e20;
  sp->xmax  = -1.e20;
  sp->ymax  = -1.e20;
  sp->zmax  = -1.e20;
  sp->loc   = 0;
  sp->nopts = 0;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPDestroy - Frees all space taken up by scatter plot data structure.

  Collective

  Input Parameter:
. sp - the scatter plot context

  Level: intermediate

.seealso: `PetscDrawSPCreate()`, `PetscDrawSP`, `PetscDrawSPReset()`
@*/
PetscErrorCode PetscDrawSPDestroy(PetscDrawSP *sp)
{
  PetscFunctionBegin;
  if (!*sp) PetscFunctionReturn(PETSC_SUCCESS);
  PetscValidHeaderSpecific(*sp, PETSC_DRAWSP_CLASSID, 1);
  if (--((PetscObject)(*sp))->refct > 0) {
    *sp = NULL;
    PetscFunctionReturn(PETSC_SUCCESS);
  }

  PetscCall(PetscFree3((*sp)->x, (*sp)->y, (*sp)->z));
  PetscCall(PetscDrawAxisDestroy(&(*sp)->axis));
  PetscCall(PetscDrawDestroy(&(*sp)->win));
  PetscCall(PetscHeaderDestroy(sp));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPAddPoint - Adds another point to each of the scatter plot point curves.

  Not Collective

  Input Parameters:
+ sp - the scatter plot data structure
. x  - the x coordinate values (of length dim) for the points of the curve
- y  - the y coordinate values (of length dim) for the points of the curve

  Level: intermediate

  Note:
  Here dim is the number of point curves passed to `PetscDrawSPCreate()`. The new points will
  not be displayed until a call to `PetscDrawSPDraw()` is made.

.seealso: `PetscDrawSPAddPoints()`, `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPReset()`, `PetscDrawSPDraw()`, `PetscDrawSPAddPointColorized()`
@*/
PetscErrorCode PetscDrawSPAddPoint(PetscDrawSP sp, PetscReal *x, PetscReal *y)
{
  PetscInt i;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);

  if (sp->loc + sp->dim >= sp->len) { /* allocate more space */
    PetscReal *tmpx, *tmpy, *tmpz;
    PetscCall(PetscMalloc3(sp->len + sp->dim * PETSC_DRAW_SP_CHUNK_SIZE, &tmpx, sp->len + sp->dim * PETSC_DRAW_SP_CHUNK_SIZE, &tmpy, sp->len + sp->dim * PETSC_DRAW_SP_CHUNK_SIZE, &tmpz));
    PetscCall(PetscArraycpy(tmpx, sp->x, sp->len));
    PetscCall(PetscArraycpy(tmpy, sp->y, sp->len));
    PetscCall(PetscArraycpy(tmpz, sp->z, sp->len));
    PetscCall(PetscFree3(sp->x, sp->y, sp->z));
    sp->x = tmpx;
    sp->y = tmpy;
    sp->z = tmpz;
    sp->len += sp->dim * PETSC_DRAW_SP_CHUNK_SIZE;
  }
  for (i = 0; i < sp->dim; ++i) {
    if (x[i] > sp->xmax) sp->xmax = x[i];
    if (x[i] < sp->xmin) sp->xmin = x[i];
    if (y[i] > sp->ymax) sp->ymax = y[i];
    if (y[i] < sp->ymin) sp->ymin = y[i];

    sp->x[sp->loc]   = x[i];
    sp->y[sp->loc++] = y[i];
  }
  ++sp->nopts;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@C
  PetscDrawSPAddPoints - Adds several points to each of the scatter plot point curves.

  Not Collective

  Input Parameters:
+ sp - the scatter plot context
. xx - array of pointers that point to arrays containing the new x coordinates for each curve.
. yy - array of pointers that point to arrays containing the new y points for each curve.
- n  - number of points being added, each represents a subarray of length dim where dim is the value from `PetscDrawSPGetDimension()`

  Level: intermediate

  Note:
  The new points will not be displayed until a call to `PetscDrawSPDraw()` is made

.seealso: `PetscDrawSPAddPoint()`, `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPReset()`, `PetscDrawSPDraw()`, `PetscDrawSPAddPointColorized()`
@*/
PetscErrorCode PetscDrawSPAddPoints(PetscDrawSP sp, int n, PetscReal **xx, PetscReal **yy)
{
  PetscInt   i, j, k;
  PetscReal *x, *y;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);

  if (sp->loc + n * sp->dim >= sp->len) { /* allocate more space */
    PetscReal *tmpx, *tmpy, *tmpz;
    PetscInt   chunk = PETSC_DRAW_SP_CHUNK_SIZE;
    if (n > chunk) chunk = n;
    PetscCall(PetscMalloc3(sp->len + sp->dim * chunk, &tmpx, sp->len + sp->dim * chunk, &tmpy, sp->len + sp->dim * chunk, &tmpz));
    PetscCall(PetscArraycpy(tmpx, sp->x, sp->len));
    PetscCall(PetscArraycpy(tmpy, sp->y, sp->len));
    PetscCall(PetscArraycpy(tmpz, sp->z, sp->len));
    PetscCall(PetscFree3(sp->x, sp->y, sp->z));

    sp->x = tmpx;
    sp->y = tmpy;
    sp->z = tmpz;
    sp->len += sp->dim * PETSC_DRAW_SP_CHUNK_SIZE;
  }
  for (j = 0; j < sp->dim; ++j) {
    x = xx[j];
    y = yy[j];
    k = sp->loc + j;
    for (i = 0; i < n; ++i) {
      if (x[i] > sp->xmax) sp->xmax = x[i];
      if (x[i] < sp->xmin) sp->xmin = x[i];
      if (y[i] > sp->ymax) sp->ymax = y[i];
      if (y[i] < sp->ymin) sp->ymin = y[i];

      sp->x[k] = x[i];
      sp->y[k] = y[i];
      k += sp->dim;
    }
  }
  sp->loc += n * sp->dim;
  sp->nopts += n;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPAddPointColorized - Adds another point to each of the scatter plots as well as a numeric value to be used to colorize the scatter point.

  Not Collective

  Input Parameters:
+ sp - the scatter plot data structure
. x  - array of length dim containing the new x coordinate values for each of the point curves.
. y  - array of length dim containing the new y coordinate values for each of the point curves.
- z  - array of length dim containing the numeric values that will be mapped to [0,255] and used for scatter point colors.

  Level: intermediate

  Note:
  The dimensions of the arrays is the number of point curves passed to `PetscDrawSPCreate()`.
  The new points will not be displayed until a call to `PetscDrawSPDraw()` is made

.seealso: `PetscDrawSPAddPoints()`, `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPReset()`, `PetscDrawSPDraw()`, `PetscDrawSPAddPoint()`
@*/
PetscErrorCode PetscDrawSPAddPointColorized(PetscDrawSP sp, PetscReal *x, PetscReal *y, PetscReal *z)
{
  PetscInt i;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  sp->colorized = PETSC_TRUE;
  if (sp->loc + sp->dim >= sp->len) { /* allocate more space */
    PetscReal *tmpx, *tmpy, *tmpz;
    PetscCall(PetscMalloc3(sp->len + sp->dim * PETSC_DRAW_SP_CHUNK_SIZE, &tmpx, sp->len + sp->dim * PETSC_DRAW_SP_CHUNK_SIZE, &tmpy, sp->len + sp->dim * PETSC_DRAW_SP_CHUNK_SIZE, &tmpz));
    PetscCall(PetscArraycpy(tmpx, sp->x, sp->len));
    PetscCall(PetscArraycpy(tmpy, sp->y, sp->len));
    PetscCall(PetscArraycpy(tmpz, sp->z, sp->len));
    PetscCall(PetscFree3(sp->x, sp->y, sp->z));
    sp->x = tmpx;
    sp->y = tmpy;
    sp->z = tmpz;
    sp->len += sp->dim * PETSC_DRAW_SP_CHUNK_SIZE;
  }
  for (i = 0; i < sp->dim; ++i) {
    if (x[i] > sp->xmax) sp->xmax = x[i];
    if (x[i] < sp->xmin) sp->xmin = x[i];
    if (y[i] > sp->ymax) sp->ymax = y[i];
    if (y[i] < sp->ymin) sp->ymin = y[i];
    if (z[i] < sp->zmin) sp->zmin = z[i];
    if (z[i] > sp->zmax) sp->zmax = z[i];
    // if (z[i] > sp->zmax && z[i] < 5.) sp->zmax = z[i];

    sp->x[sp->loc]   = x[i];
    sp->y[sp->loc]   = y[i];
    sp->z[sp->loc++] = z[i];
  }
  ++sp->nopts;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPDraw - Redraws a scatter plot.

  Collective

  Input Parameters:
+ sp    - the scatter plot context
- clear - clear the window before drawing the new plot

  Level: intermediate

.seealso: `PetscDrawLGDraw()`, `PetscDrawLGSPDraw()`, `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPReset()`, `PetscDrawSPAddPoint()`, `PetscDrawSPAddPoints()`
@*/
PetscErrorCode PetscDrawSPDraw(PetscDrawSP sp, PetscBool clear)
{
  PetscDraw   draw;
  PetscBool   isnull;
  PetscMPIInt rank, size;

  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  draw = sp->win;
  PetscCall(PetscDrawIsNull(draw, &isnull));
  if (isnull) PetscFunctionReturn(PETSC_SUCCESS);
  PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)sp), &rank));
  PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)sp), &size));

  if (clear) {
    PetscCall(PetscDrawCheckResizedWindow(draw));
    PetscCall(PetscDrawClear(draw));
  }
  {
    PetscReal lower[2] = {sp->xmin, sp->ymin}, glower[2];
    PetscReal upper[2] = {sp->xmax, sp->ymax}, gupper[2];
    PetscCall(MPIU_Allreduce(lower, glower, 2, MPIU_REAL, MPIU_MIN, PetscObjectComm((PetscObject)sp)));
    PetscCall(MPIU_Allreduce(upper, gupper, 2, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)sp)));
    PetscCall(PetscDrawAxisSetLimits(sp->axis, glower[0], gupper[0], glower[1], gupper[1]));
    PetscCall(PetscDrawAxisDraw(sp->axis));
  }

  PetscDrawCollectiveBegin(draw);
  {
    const int dim = sp->dim, nopts = sp->nopts;

    for (int i = 0; i < dim; ++i) {
      for (int p = 0; p < nopts; ++p) {
        PetscInt color = sp->colorized ? PetscDrawRealToColor(sp->z[p * dim], sp->zmin, sp->zmax) : (size > 1 ? PetscDrawRealToColor(rank, 0, size - 1) : PETSC_DRAW_RED);

        PetscCall(PetscDrawPoint(draw, sp->x[p * dim + i], sp->y[p * dim + i], color));
      }
    }
  }
  PetscDrawCollectiveEnd(draw);

  PetscCall(PetscDrawFlush(draw));
  PetscCall(PetscDrawPause(draw));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPSave - Saves a drawn image

  Collective

  Input Parameter:
. sp - the scatter plot context

  Level: intermediate

.seealso: `PetscDrawSPCreate()`, `PetscDrawSPGetDraw()`, `PetscDrawSetSave()`, `PetscDrawSave()`
@*/
PetscErrorCode PetscDrawSPSave(PetscDrawSP sp)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  PetscCall(PetscDrawSave(sp->win));
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPSetLimits - Sets the axis limits for a scatter plot. If more points are added after this call, the limits will be adjusted to include those additional points.

  Not Collective

  Input Parameters:
+ sp    - the line graph context
. x_min - the horizontal lower limit
. x_max - the horizontal upper limit
. y_min - the vertical lower limit
- y_max - the vertical upper limit

  Level: intermediate

.seealso: `PetscDrawSP`, `PetscDrawAxis`, `PetscDrawSPCreate()`, `PetscDrawSPDraw()`, `PetscDrawSPAddPoint()`, `PetscDrawSPAddPoints()`, `PetscDrawSPGetAxis()`
@*/
PetscErrorCode PetscDrawSPSetLimits(PetscDrawSP sp, PetscReal x_min, PetscReal x_max, PetscReal y_min, PetscReal y_max)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  sp->xmin = x_min;
  sp->xmax = x_max;
  sp->ymin = y_min;
  sp->ymax = y_max;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPGetAxis - Gets the axis context associated with a scatter plot

  Not Collective

  Input Parameter:
. sp - the scatter plot context

  Output Parameter:
. axis - the axis context

  Level: intermediate

  Note:
  This is useful if one wants to change some axis property, such as labels, color, etc. The axis context should not be destroyed by the application code.

.seealso: `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPDraw()`, `PetscDrawSPAddPoint()`, `PetscDrawSPAddPoints()`, `PetscDrawAxis`, `PetscDrawAxisCreate()`
@*/
PetscErrorCode PetscDrawSPGetAxis(PetscDrawSP sp, PetscDrawAxis *axis)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  PetscAssertPointer(axis, 2);
  *axis = sp->axis;
  PetscFunctionReturn(PETSC_SUCCESS);
}

/*@
  PetscDrawSPGetDraw - Gets the draw context associated with a scatter plot

  Not Collective

  Input Parameter:
. sp - the scatter plot context

  Output Parameter:
. draw - the draw context

  Level: intermediate

.seealso: `PetscDrawSP`, `PetscDrawSPCreate()`, `PetscDrawSPDraw()`, `PetscDraw`
@*/
PetscErrorCode PetscDrawSPGetDraw(PetscDrawSP sp, PetscDraw *draw)
{
  PetscFunctionBegin;
  PetscValidHeaderSpecific(sp, PETSC_DRAWSP_CLASSID, 1);
  PetscAssertPointer(draw, 2);
  *draw = sp->win;
  PetscFunctionReturn(PETSC_SUCCESS);
}
