package contest200911; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class D { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(); SegmentTreeMatrix st = new SegmentTreeMatrix(n); int[] ls = new int[n]; double[] xs = new double[n]; Arrays.fill(ls, 1); for(int Q = ni(); Q> 0;Q--){ int t = ni(); if(t == 0){ int i = ni(); double x = ni()/180.*Math.PI; xs[i-1] = x; double cx = Math.cos(xs[i-1]); double sx = Math.sin(xs[i-1]); double[][] M = st.node[st.H+i-1]; M[2][2] = cx; M[2][3] = -sx; M[3][2] = sx; M[3][3] = cx; M[0][2] = ls[i-1]*cx; M[0][3] = ls[i-1]*-sx; M[1][2] = ls[i-1]*sx; M[1][3] = ls[i-1]*cx; st.update(i-1); }else if(t == 1){ int i = ni(); int x = ni(); ls[i-1] = x; double cx = Math.cos(xs[i-1]); double sx = Math.sin(xs[i-1]); double[][] M = st.node[st.H+i-1]; M[2][2] = cx; M[2][3] = -sx; M[3][2] = sx; M[3][3] = cx; M[0][2] = ls[i-1]*cx; M[0][3] = ls[i-1]*-sx; M[1][2] = ls[i-1]*sx; M[1][3] = ls[i-1]*cx; st.update(i-1); }else{ int i = ni(); double[] res = st.apply(0, i, new double[]{0, 0, 1, 0}); out.printf("%.14f %.14f\n", res[0], res[1]); } } } // // (cos x -sin x) // (sin x cos x) public static class SegmentTreeMatrix { public int M, H, N; public double[][][] node; public static int mod = 1000000007; public static long BIG = 8L*mod*mod; public static int S = 4; public SegmentTreeMatrix(int n) { N = n; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; node = new double[M][][]; for(int i = 0;i < N;i++){ node[H+i] = new double[S][S]; for(int j = 0;j < 4;j++){ node[H+i][j][j] = 1; } node[H+i][0][2] = 1; node[H+i][1][3] = 1; } for(int i = H-1;i >= 1;i--)propagate(i); } private void propagate(int cur) { node[cur] = prop2(node[2*cur], node[2*cur+1], node[cur]); } private double[][] prop2(double[][] L, double[][] R, double[][] C) { if(L != null && R != null){ C = mul(R, L, C); return C; }else if(L != null){ return prop1(L, C); }else if(R != null){ return prop1(R, C); }else{ return null; } } private double[][] prop1(double[][] L, double[][] C) { if(C == null){ // C = L; // read only C = new double[S][]; for(int i = 0;i < S;i++){ C[i] = Arrays.copyOf(L[i], S); } }else{ for(int i = 0;i < S;i++){ C[i] = Arrays.copyOf(L[i], S); } } return C; } public void update(int pos) { for(int i = H+pos>>>1;i >= 1;i>>>=1)propagate(i); } public double[] apply(int l, int r, double[] v){ return apply(l, r, 0, H, 1, v); } protected double[] apply(int l, int r, int cl, int cr, int cur, double[] v) { if(l <= cl && cr <= r){ return mul(node[cur], v); }else{ int mid = cl+cr>>>1; if(cl < r && l < mid){ v = apply(l, r, cl, mid, 2*cur, v); } if(mid < r && l < cr){ v = apply(l, r, mid, cr, 2*cur+1, v); } return v; } } public static double[] mul(double[][] A, double[] v) { int m = A.length; int n = v.length; double[] w = new double[m]; for(int i = 0;i < m;i++){ double sum = 0; for(int k = 0;k < n;k++){ sum += A[i][k] * v[k]; } w[i] = sum; } return w; } public static double[][] mul(double[][] A, double[][] B, double[][] C) { assert A[0].length == B.length; int m = A.length; int n = A[0].length; int o = B[0].length; if(C == null){ C = new double[m][o]; }else{ for(int i = 0;i < m;i++){ Arrays.fill(C[i], 0.); } } for(int i = 0;i < m;i++){ for(int k = 0;k < n;k++){ for(int j = 0;j < o;j++){ C[i][j] += A[i][k] * B[k][j]; } } } return C; } } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new D().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }