Language: C++

#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
using namespace std;
//using ll=long long;
const double EPS = 1e-10;
inline bool equals(double a, double b) { return fabs(a - b) < EPS; }
const double PI = 3.141592653589793238;
class Point {
public:
	double x, y;
	Point(double x, double y) :x(x), y(y) {}
	Point() {}
	Point operator +(const Point &p) const{ return Point(x + p.x, y + p.y); };
	Point operator -(const Point &p) const{ return Point(x - p.x, y - p.y); }
	Point operator *(double k) { return Point(x*k, y*k); }
	Point operator /(double k) { return Point(x / k, y / k); }
	void show() { printf("%.10lf %.10lf", x, y); }
};

using Vector = Point;
inline double norm(Vector a) {
	return a.x*a.x + a.y*a.y;
}
double absv(Vector a) {
	return sqrt(norm(a));
}
inline double dot(Vector a, Vector b) {
	return a.x*b.x + a.y*b.y;
}
inline double cross(Vector a, Vector b) {
	return a.x*b.y - a.y*b.x;
}
struct Segment {
	Point p1, p2;
};

using Line = Segment;
class Circle {
public:
	Point c;
	double r;
	Circle(Point c = Point(), double r = 0.0) :c(c), r(r) {}
};
using Polygon = vector<Point>; 
Point project(Segment s, Point p) {
	Vector base = s.p2 - s.p1;
	double r = dot(p - s.p1, base) / norm(base);
	return s.p1 + base*r;
}
Point reflect(Segment s, Point p) {
	return p + (project(s, p) - p)*2.0;
}

static const int COUNTER_CLOCKWISE = 1;
static const int CLOCKWISE = -1;
static const int ONLINE_BACK = 2;
static const int ONLINE_FRONT = -2;
static const int ON_SEGMENT = 0;

int ccw(Point p0, Point p1, Point p2) {
	Vector a = p1 - p0;
	Vector b = p2 - p0;
	if (cross(a, b) > EPS) return COUNTER_CLOCKWISE;
	if (cross(a, b) < -EPS) return CLOCKWISE;
	if (dot(a, b) < -EPS) return ONLINE_BACK;
	if (norm(a) < norm(b)) return ONLINE_FRONT;
	return ON_SEGMENT;
}
bool intersect(Point p1, Point p2, Point p3, Point p4) {
	return (ccw(p1, p2, p3)*ccw(p1, p2, p4) <= 0 and ccw(p3, p4, p1)*ccw(p3, p4, p2) <= 0);
}

bool intersect(Segment s1, Segment s2) {
	return intersect(s1.p1, s1.p2, s2.p1, s2.p2);
}

bool intersect(Circle c, Line l) {
	double d = getDistanceLP(l, c.c);
	return d <= c.r;
}
double getDistance(Point a, Point b) {
	return absv(a - b);
}

double getDistanceLP(Line l, Point p) {
	return abs(cross(l.p2 - l.p1, p - l.p1) / absv(l.p2 - l.p1));
}

double getDistanceSP(Segment s, Point p) {
	if (dot(s.p2 - s.p1, p - s.p1) < 0.0) return absv(p - s.p1);
	if (dot(s.p1 - s.p2, p - s.p2) < 0.0) return absv(p - s.p2);
	return getDistanceLP(s, p);
}

double getDistance(Segment s1,Segment s2){
	if (intersect(s1, s2)) return 0.0;
	return min(min(getDistanceSP(s1, s2.p1), getDistanceSP(s1, s2.p2)), min(getDistanceSP(s2, s1.p1), getDistanceSP(s2, s1.p2)));
}

Point getCrossPoint(Segment s1, Segment s2) {
	Vector base = s2.p2 - s2.p1;
	double d1 = abs(cross(base, s1.p1 - s2.p1));
	double d2 = abs(cross(base, s1.p2 - s2.p1));
	return s1.p1 + (s1.p2 - s1.p1)*(d1 / (d1 + d2));
}
pair<Point, Point> getCrossPoints(Circle c, Line l) {
	assert(intersect(c, l));
	Point pr = project(l, c.c);
	Vector lv = l.p2 - l.p1;
	Vector le = lv / absv(lv);
	double base = sqrt(c.r*c.r - norm(c.c - pr));
	return make_pair(pr + le*base, pr - le*base);
}

int main() {
	int q, x[2], y[2];
	int cx, cy, r;
	cin >> cx >> cy >> r;
	Circle c = Circle(Point(cx, cy), r);
	cin >> q;
	for (int i = 0; i < q; i++) {
		Point p1, p2;
		cin >> p1.x >> p1.y >> p2.x >> p2.y;
		Line l = { p1,p2 };
		pair<Point, Point> ans = getCrossPoints(c, l);
		ans.first.show();
		cout << " ";
		ans.second.show();
		cout << endl;
	}
}

Compiler output:
a.cc: In function 'bool intersect(Circle, Line)':
a.cc:78:20: error: 'getDistanceLP' was not declared in this scope
   78 |         double d = getDistanceLP(l, c.c);
      |                    ^~~~~~~~~~~~~