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80 lines
1.8 KiB
C
80 lines
1.8 KiB
C
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#include <stdlib.h>
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#include <stdio.h>
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#include <stdbool.h>
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#define X_MIN 20
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#define X_MAX 30
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#define Y_MIN -10
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#define Y_MAX -5
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#define FACTOR 2 // Factor determines search domain
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typedef struct
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{
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int x;
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int y;
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} VECTOR2;
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bool in_target(VECTOR2 vector)
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{
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return vector.x >= X_MIN && vector.x <= X_MAX && vector.y >= Y_MIN && vector.y <= Y_MAX;
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}
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bool past_target(VECTOR2 vector)
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{
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return vector.x > X_MAX || vector.y < Y_MIN;
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}
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VECTOR2 add_vectors(VECTOR2 v1, VECTOR2 v2)
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{
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VECTOR2 new = {v1.x + v2.x, v1.y + v2.y};
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return new;
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}
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void print_vector(VECTOR2 v)
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{
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printf("[%d,%d]\n", v.x, v.y);
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}
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bool try_velocity(VECTOR2 velocity, int *max_height)
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{
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VECTOR2 position = {0, 0};
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int max_height_l = 0;
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while (true)
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{
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position = add_vectors(position, velocity);
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if (position.y > max_height_l)
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max_height_l = position.y;
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// print_vector(position);
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// UPDATE VELOCITY
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velocity.y--;
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velocity.x -= (velocity.x > 0 ? 1 : 0); // DRAG
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if (in_target(position))
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{
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if (max_height_l > *max_height)
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*max_height = max_height_l; // Required because FACTOR > 1
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return true;
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}
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if (past_target(position))
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return false;
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}
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}
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int main(int argc, char const *argv[])
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{
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// Really naive solution which iterates over many potential velocities,
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// because the search domain is really small.
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int max_height = 0;
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int valid_iv = 0;
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for (int i = 0; i < X_MAX * FACTOR; i++)
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{
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for (int j = -abs(Y_MIN * FACTOR); j < abs(Y_MIN * FACTOR); j++)
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{
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VECTOR2 velocity = {i, j};
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if (try_velocity(velocity, &max_height))
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valid_iv++;
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}
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}
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printf("MAX_HEIGHT %d N_VALID_IV %d\n", max_height, valid_iv);
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return 0;
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}
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