/* ScummVM - Graphic Adventure Engine
 *
 * ScummVM is the legal property of its developers, whose names
 * are too numerous to list here. Please refer to the COPYRIGHT
 * file distributed with this source distribution.
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.

 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.

 * You should have received a copy of the GNU General Public License
 * along with this program; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
 *
 * $URL$
 * $Id$
 *
 */

#include "sci/sci.h"
#include "sci/resource.h"
#include "sci/engine/features.h"
#include "sci/engine/state.h"
#include "sci/engine/selector.h"
#include "sci/engine/kernel.h"
#include "sci/graphics/animate.h"

namespace Sci {

/*
Compute "velocity" vector (xStep,yStep)=(vx,vy) for a jump from (0,0) to (dx,dy), with gravity gy.
The gravity is assumed to be non-negative.

If this was ordinary continuous physics, we would compute the desired (floating point!)
velocity vector (vx,vy) as follows, under the assumption that vx and vy are linearly correlated
by some constant factor c, i.e. vy = c * vx:
   dx = t * vx
   dy = t * vy + gy * t^2 / 2
=> dy = c * dx + gy * (dx/vx)^2 / 2
=> |vx| = sqrt( gy * dx^2 / (2 * (dy - c * dx)) )
Here, the sign of vx must be chosen equal to the sign of dx, obviously.

Clearly, this square root only makes sense in our context if the denominator is positive,
or equivalently, (dy - c * dx) must be positive. For simplicity and by symmetry
along the x-axis, we assume dx to be positive for all computations, and only adjust for
its sign in the end. Switching the sign of c appropriately, we set tmp := (dy + c * dx)
and compute c so that this term becomes positive.

Remark #1: If the jump is straight up, i.e. dx == 0, then we should not assume the above
linear correlation vy = c * vx of the velocities (as vx will be 0, but vy shouldn't be,
unless we drop).


Remark #2: We are actually in a discrete setup. The motion is computed iteratively: each iteration,
we add vx and vy to the position, then add gy to vy. So the real formula is the following
(where t is ideally close to an int):

  dx = t * vx
  dy = t * vy + gy * t*(t-1) / 2

But the solution resulting from that is a lot more complicated, so we use the above approximation instead.

Still, what we compute in the end is of course not a real velocity anymore, but an integer approximation,
used in an iterative stepping algorithm
*/
reg_t kSetJump(EngineState *s, int argc, reg_t *argv) {
	SegManager *segMan = s->_segMan;
	// Input data
	reg_t object = argv[0];
	int dx = argv[1].toSint16();
	int dy = argv[2].toSint16();
	int gy = argv[3].toSint16();

	// Derived data
	int c;
	int tmp;
	int vx = 0;  // x velocity
	int vy = 0;  // y velocity

	int dxWasNegative = (dx < 0);
	dx = abs(dx);

	assert(gy >= 0);

	if (dx == 0) {
		// Upward jump. Value of c doesn't really matter
		c = 1;
	} else {
		// Compute a suitable value for c respectively tmp.
		// The important thing to consider here is that we want the resulting
		// *discrete* x/y velocities to be not-too-big integers, for a smooth
		// curve (i.e. we could just set vx=dx, vy=dy, and be done, but that
		// is hardly what you would call a parabolic jump, would ya? ;-).
		//
		// So, we make sure that 2.0*tmp will be bigger than dx (that way,
		// we ensure vx will be less than sqrt(gy * dx)).
		if (dx + dy < 0) {
			// dy is negative and |dy| > |dx|
			c = (2 * abs(dy)) / dx;
			//tmp = abs(dy);  // ALMOST the resulting value, except for obvious rounding issues
		} else {
			// dy is either positive, or |dy| <= |dx|
			c = (dx * 3 / 2 - dy) / dx;

			// We force c to be strictly positive
			if (c < 1)
				c = 1;

			//tmp = dx * 3 / 2;  // ALMOST the resulting value, except for obvious rounding issues

			// FIXME: Where is the 3 coming from? Maybe they hard/coded, by "accident", that usually gy=3 ?
			// Then this choice of will make t equal to roughly sqrt(dx)
		}
	}
	// POST: c >= 1
	tmp = c * dx + dy;
	// POST: (dx != 0)  ==>  abs(tmp) > abs(dx)
	// POST: (dx != 0)  ==>  abs(tmp) ~>=~ abs(dy)

	debugC(2, kDebugLevelBresen, "c: %d, tmp: %d", c, tmp);

	// Compute x step
	if (tmp != 0)
		vx = (int)(dx * sqrt(gy / (2.0 * tmp)));
	else
		vx = 0;

	// Restore the left/right direction: dx and vx should have the same sign.
	if (dxWasNegative)
		vx = -vx;

	if ((dy < 0) && (vx == 0)) {
		// Special case: If this was a jump (almost) straight upward, i.e. dy < 0 (upward),
		// and vx == 0 (i.e. no horizontal movement, at least not after rounding), then we
		// compute vy directly.
		// For this, we drop the assumption on the linear correlation of vx and vy (obviously).

		// FIXME: This choice of vy makes t roughly (2+sqrt(2))/gy * sqrt(dy);
		// so if gy==3, then t is roughly sqrt(dy)...
		vy = (int)sqrt((double)gy * abs(2 * dy)) + 1;
	} else {
		// As stated above, the vertical direction is correlated to the horizontal by the
		// (non-zero) factor c.
		// Strictly speaking, we should probably be using the value of vx *before* rounding
		// it to an integer... Ah well
		vy = c * vx;
	}

	// Always force vy to be upwards
	vy = -abs(vy);

	debugC(2, kDebugLevelBresen, "SetJump for object at %04x:%04x", PRINT_REG(object));
	debugC(2, kDebugLevelBresen, "xStep: %d, yStep: %d", vx, vy);

	writeSelectorValue(segMan, object, SELECTOR(xStep), vx);
	writeSelectorValue(segMan, object, SELECTOR(yStep), vy);

	return s->r_acc;
}

#define _K_BRESEN_AXIS_X 0
#define _K_BRESEN_AXIS_Y 1

static void initialize_bresen(SegManager *segMan, int argc, reg_t *argv, reg_t mover, int step_factor, int deltax, int deltay) {
	reg_t client = readSelector(segMan, mover, SELECTOR(client));
	int stepx = (int16)readSelectorValue(segMan, client, SELECTOR(xStep)) * step_factor;
	int stepy = (int16)readSelectorValue(segMan, client, SELECTOR(yStep)) * step_factor;
	int numsteps_x = stepx ? (abs(deltax) + stepx - 1) / stepx : 0;
	int numsteps_y = stepy ? (abs(deltay) + stepy - 1) / stepy : 0;
	int bdi, i1;
	int numsteps;
	int deltax_step;
	int deltay_step;

	if (numsteps_x > numsteps_y) {
		numsteps = numsteps_x;
		deltax_step = (deltax < 0) ? -stepx : stepx;
		deltay_step = numsteps ? deltay / numsteps : deltay;
	} else { // numsteps_x <= numsteps_y
		numsteps = numsteps_y;
		deltay_step = (deltay < 0) ? -stepy : stepy;
		deltax_step = numsteps ? deltax / numsteps : deltax;
	}

/*	if (abs(deltax) > abs(deltay)) {*/ // Bresenham on y
	if (numsteps_y < numsteps_x) {

		writeSelectorValue(segMan, mover, SELECTOR(b_xAxis), _K_BRESEN_AXIS_Y);
		writeSelectorValue(segMan, mover, SELECTOR(b_incr), (deltay < 0) ? -1 : 1);
		//i1 = 2 * (abs(deltay) - abs(deltay_step * numsteps)) * abs(deltax_step);
		//bdi = -abs(deltax);
		i1 = 2 * (abs(deltay) - abs(deltay_step * (numsteps - 1))) * abs(deltax_step);
		bdi = -abs(deltax);
	} else { // Bresenham on x
		writeSelectorValue(segMan, mover, SELECTOR(b_xAxis), _K_BRESEN_AXIS_X);
		writeSelectorValue(segMan, mover, SELECTOR(b_incr), (deltax < 0) ? -1 : 1);
		//i1= 2 * (abs(deltax) - abs(deltax_step * numsteps)) * abs(deltay_step);
		//bdi = -abs(deltay);
		i1 = 2 * (abs(deltax) - abs(deltax_step * (numsteps - 1))) * abs(deltay_step);
		bdi = -abs(deltay);

	}

	writeSelectorValue(segMan, mover, SELECTOR(dx), deltax_step);
	writeSelectorValue(segMan, mover, SELECTOR(dy), deltay_step);

	debugC(2, kDebugLevelBresen, "Init bresen for mover %04x:%04x: d=(%d,%d)", PRINT_REG(mover), deltax, deltay);
	debugC(2, kDebugLevelBresen, "    steps=%d, mv=(%d, %d), i1= %d, i2=%d",
	          numsteps, deltax_step, deltay_step, i1, bdi*2);

	//writeSelectorValue(segMan, mover, SELECTOR(b_movCnt), numsteps); // Needed for HQ1/Ogre?
	writeSelectorValue(segMan, mover, SELECTOR(b_di), bdi);
	writeSelectorValue(segMan, mover, SELECTOR(b_i1), i1);
	writeSelectorValue(segMan, mover, SELECTOR(b_i2), bdi * 2);
}

reg_t kInitBresen(EngineState *s, int argc, reg_t *argv) {
	SegManager *segMan = s->_segMan;
	reg_t mover = argv[0];
	reg_t client = readSelector(segMan, mover, SELECTOR(client));

	int deltax = (int16)readSelectorValue(segMan, mover, SELECTOR(x)) - (int16)readSelectorValue(segMan, client, SELECTOR(x));
	int deltay = (int16)readSelectorValue(segMan, mover, SELECTOR(y)) - (int16)readSelectorValue(segMan, client, SELECTOR(y));
	int step_factor = (argc < 1) ? argv[1].toUint16() : 1;

	initialize_bresen(s->_segMan, argc, argv, mover, step_factor, deltax, deltay);

	return s->r_acc;
}

#define MOVING_ON_X (((axis == _K_BRESEN_AXIS_X)&&bi1) || dx)
#define MOVING_ON_Y (((axis == _K_BRESEN_AXIS_Y)&&bi1) || dy)

reg_t kDoBresen(EngineState *s, int argc, reg_t *argv) {
	SegManager *segMan = s->_segMan;
	reg_t mover = argv[0];
	reg_t client = readSelector(segMan, mover, SELECTOR(client));

	int x = (int16)readSelectorValue(segMan, client, SELECTOR(x));
	int y = (int16)readSelectorValue(segMan, client, SELECTOR(y));
	int oldx, oldy, destx, desty, dx, dy, bdi, bi1, bi2, movcnt, bdelta, axis;
	uint16 signal = readSelectorValue(segMan, client, SELECTOR(signal));
	int completed = 0;
	int max_movcnt = readSelectorValue(segMan, client, SELECTOR(moveSpeed));

	if (getSciVersion() > SCI_VERSION_01)
		signal &= ~kSignalHitObstacle;

	writeSelector(segMan, client, SELECTOR(signal), make_reg(0, signal)); // This is a NOP for SCI0
	oldx = x;
	oldy = y;
	destx = (int16)readSelectorValue(segMan, mover, SELECTOR(x));
	desty = (int16)readSelectorValue(segMan, mover, SELECTOR(y));
	dx = (int16)readSelectorValue(segMan, mover, SELECTOR(dx));
	dy = (int16)readSelectorValue(segMan, mover, SELECTOR(dy));
	bdi = (int16)readSelectorValue(segMan, mover, SELECTOR(b_di));
	bi1 = (int16)readSelectorValue(segMan, mover, SELECTOR(b_i1));
	bi2 = (int16)readSelectorValue(segMan, mover, SELECTOR(b_i2));
	movcnt = readSelectorValue(segMan, mover, SELECTOR(b_movCnt));
	bdelta = (int16)readSelectorValue(segMan, mover, SELECTOR(b_incr));
	axis = (int16)readSelectorValue(segMan, mover, SELECTOR(b_xAxis));

	//printf("movecnt %d, move speed %d\n", movcnt, max_movcnt);

	if (g_sci->_features->handleMoveCount()) {
		if (max_movcnt > movcnt) {
			++movcnt;
			writeSelectorValue(segMan, mover, SELECTOR(b_movCnt), movcnt); // Needed for HQ1/Ogre?
			return NULL_REG;
		} else {
			movcnt = 0;
			writeSelectorValue(segMan, mover, SELECTOR(b_movCnt), movcnt); // Needed for HQ1/Ogre?
		}
	}

	if ((bdi += bi1) > 0) {
		bdi += bi2;

		if (axis == _K_BRESEN_AXIS_X)
			dx += bdelta;
		else
			dy += bdelta;
	}

	writeSelectorValue(segMan, mover, SELECTOR(b_di), bdi);

	x += dx;
	y += dy;

	if ((MOVING_ON_X && (((x < destx) && (oldx >= destx)) // Moving left, exceeded?
	            || ((x > destx) && (oldx <= destx)) // Moving right, exceeded?
	            || ((x == destx) && (abs(dx) > abs(dy))) // Moving fast, reached?
	            // Treat this last case specially- when doing sub-pixel movements
	            // on the other axis, we could still be far away from the destination
				)) || (MOVING_ON_Y && (((y < desty) && (oldy >= desty)) /* Moving upwards, exceeded? */
	                || ((y > desty) && (oldy <= desty)) /* Moving downwards, exceeded? */
	                || ((y == desty) && (abs(dy) >= abs(dx))) /* Moving fast, reached? */
				))) {
		// Whew... in short: If we have reached or passed our target position
		x = destx;
		y = desty;
		completed = 1;

		debugC(2, kDebugLevelBresen, "Finished mover %04x:%04x", PRINT_REG(mover));
	}

	writeSelectorValue(segMan, client, SELECTOR(x), x);
	writeSelectorValue(segMan, client, SELECTOR(y), y);

	debugC(2, kDebugLevelBresen, "New data: (x,y)=(%d,%d), di=%d", x, y, bdi);

	if (SELECTOR(cantBeHere) != -1) {
		invokeSelector(s, client, SELECTOR(cantBeHere), argc, argv);
		s->r_acc = make_reg(0, !s->r_acc.offset);
	} else {
		invokeSelector(s, client, SELECTOR(canBeHere), argc, argv);
	}

	if (!s->r_acc.offset) { // Contains the return value
		signal = readSelectorValue(segMan, client, SELECTOR(signal));

		writeSelectorValue(segMan, client, SELECTOR(x), oldx);
		writeSelectorValue(segMan, client, SELECTOR(y), oldy);
		writeSelectorValue(segMan, client, SELECTOR(signal), (signal | kSignalHitObstacle));

		debugC(2, kDebugLevelBresen, "Finished mover %04x:%04x by collision", PRINT_REG(mover));
		completed = 1;
	}

	if ((getSciVersion() >= SCI_VERSION_1_EGA))
		if (completed)
			invokeSelector(s, mover, SELECTOR(moveDone), argc, argv);

	return make_reg(0, completed);
}

extern void _k_dirloop(reg_t obj, uint16 angle, EngineState *s, int argc, reg_t *argv);

int getAngle(int xrel, int yrel) {
	if ((xrel == 0) && (yrel == 0))
		return 0;
	else {
		int val = (int)(180.0 / PI * atan2((double)xrel, (double) - yrel));
		if (val < 0)
			val += 360;

		// Take care of OB1 differences between SSCI and
		// FSCI. SCI games sometimes check for equality with
		// "round" angles
		if (val % 45 == 44)
			val++;
		else if (val % 45 == 1)
			val--;

		return val;
	}
}

reg_t kDoAvoider(EngineState *s, int argc, reg_t *argv) {
	SegManager *segMan = s->_segMan;
	reg_t avoider = argv[0];
	reg_t client, looper, mover;
	int angle;
	int dx, dy;
	int destx, desty;

	s->r_acc = SIGNAL_REG;

	if (!s->_segMan->isHeapObject(avoider)) {
		warning("DoAvoider() where avoider %04x:%04x is not an object", PRINT_REG(avoider));
		return NULL_REG;
	}

	client = readSelector(segMan, avoider, SELECTOR(client));

	if (!s->_segMan->isHeapObject(client)) {
		warning("DoAvoider() where client %04x:%04x is not an object", PRINT_REG(client));
		return NULL_REG;
	}

	looper = readSelector(segMan, client, SELECTOR(looper));
	mover = readSelector(segMan, client, SELECTOR(mover));

	if (!s->_segMan->isHeapObject(mover)) {
		if (mover.segment) {
			warning("DoAvoider() where mover %04x:%04x is not an object", PRINT_REG(mover));
		}
		return s->r_acc;
	}

	destx = readSelectorValue(segMan, mover, SELECTOR(x));
	desty = readSelectorValue(segMan, mover, SELECTOR(y));

	debugC(2, kDebugLevelBresen, "Doing avoider %04x:%04x (dest=%d,%d)", PRINT_REG(avoider), destx, desty);

	invokeSelector(s, mover, SELECTOR(doit), argc, argv);

	mover = readSelector(segMan, client, SELECTOR(mover));
	if (!mover.segment) // Mover has been disposed?
		return s->r_acc; // Return gracefully.

	invokeSelector(s, client, SELECTOR(isBlocked), argc, argv);

	dx = destx - readSelectorValue(segMan, client, SELECTOR(x));
	dy = desty - readSelectorValue(segMan, client, SELECTOR(y));
	angle = getAngle(dx, dy);

	debugC(2, kDebugLevelBresen, "Movement (%d,%d), angle %d is %sblocked", dx, dy, angle, (s->r_acc.offset) ? " " : "not ");

	if (s->r_acc.offset) { // isBlocked() returned non-zero
		int rotation = (rand() & 1) ? 45 : (360 - 45); // Clockwise/counterclockwise
		int oldx = readSelectorValue(segMan, client, SELECTOR(x));
		int oldy = readSelectorValue(segMan, client, SELECTOR(y));
		int xstep = readSelectorValue(segMan, client, SELECTOR(xStep));
		int ystep = readSelectorValue(segMan, client, SELECTOR(yStep));
		int moves;

		debugC(2, kDebugLevelBresen, " avoider %04x:%04x", PRINT_REG(avoider));

		for (moves = 0; moves < 8; moves++) {
			int move_x = (int)(sin(angle * PI / 180.0) * (xstep));
			int move_y = (int)(-cos(angle * PI / 180.0) * (ystep));

			writeSelectorValue(segMan, client, SELECTOR(x), oldx + move_x);
			writeSelectorValue(segMan, client, SELECTOR(y), oldy + move_y);

			debugC(2, kDebugLevelBresen, "Pos (%d,%d): Trying angle %d; delta=(%d,%d)", oldx, oldy, angle, move_x, move_y);

			invokeSelector(s, client, SELECTOR(canBeHere), argc, argv);

			writeSelectorValue(segMan, client, SELECTOR(x), oldx);
			writeSelectorValue(segMan, client, SELECTOR(y), oldy);

			if (s->r_acc.offset) { // We can be here
				debugC(2, kDebugLevelBresen, "Success");
				writeSelectorValue(segMan, client, SELECTOR(heading), angle);

				return make_reg(0, angle);
			}

			angle += rotation;

			if (angle > 360)
				angle -= 360;
		}

		warning("DoAvoider failed for avoider %04x:%04x", PRINT_REG(avoider));
	} else {
		int heading = readSelectorValue(segMan, client, SELECTOR(heading));

		if (heading == -1)
			return s->r_acc; // No change

		writeSelectorValue(segMan, client, SELECTOR(heading), angle);

		s->r_acc = make_reg(0, angle);

		reg_t params[2] = { make_reg(0, angle), client };

		if (looper.segment) {
			invokeSelector(s, looper, SELECTOR(doit), argc, argv, 2, params);
			return s->r_acc;
		} else {
			// No looper? Fall back to DirLoop
			_k_dirloop(client, (uint16)angle, s, argc, argv);
		}
	}

	return s->r_acc;
}

} // End of namespace Sci