200 lines
2.5 KiB
C++
200 lines
2.5 KiB
C++
#include "stdafx.h"
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#include "defs.h"
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static void ysine(void);
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void
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eval_sin(void)
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{
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push(cadr(p1));
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eval();
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sine();
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}
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void
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sine(void)
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{
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save();
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ysine();
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restore();
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}
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static void
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ysine(void)
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{
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int n;
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double d;
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p1 = pop();
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if (isdouble(p1)) {
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d = sin(p1->u.d);
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if (fabs(d) < 1e-10)
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d = 0.0;
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push_double(d);
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return;
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}
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if (expomode == 1) {
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push(p1);
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expsin();
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return;
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}
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// sine function is antisymmetric, sin(-x) = -sin(x)
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if (isnegative(p1)) {
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push(p1);
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negate();
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sine();
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negate();
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return;
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}
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// multiply by 180/pi
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push(p1);
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push_integer(180);
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multiply();
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push_symbol(PI);
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divide();
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n = pop_integer();
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if (n < 0) {
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push_symbol(SIN);
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push(p1);
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list(2);
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return;
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}
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switch (n % 360) {
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case 0:
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push_integer(0);
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break;
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case 30:
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push_rational(1, 2);
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break;
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case 45:
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push_rational(1, 2);
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push_integer(2);
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push_rational(1, 2);
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power();
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multiply();
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break;
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case 60:
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push_rational(1, 2);
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push_integer(3);
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push_rational(1, 2);
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power();
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multiply();
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break;
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case 90:
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push_integer(1);
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break;
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case 120:
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push_rational(1, 2);
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push_integer(3);
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push_rational(1, 2);
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power();
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multiply();
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break;
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case 135:
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push_rational(1, 2);
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push_integer(2);
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push_rational(1, 2);
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power();
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multiply();
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break;
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case 150:
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push_rational(1, 2);
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break;
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case 180:
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push_integer(0);
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break;
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case 210:
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push_rational(-1, 2);
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break;
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case 270:
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push_integer(-1);
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break;
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case 330:
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push_rational(-1, 2);
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break;
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default:
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push_symbol(SIN);
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push(p1);
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list(2);
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break;
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}
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}
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static char *s[] = {
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"sin(-pi)", // -180 degrees
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"0",
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"sin(-pi*5/6)", // -150 degrees
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"-1/2",
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"sin(-3/4*pi)+sqrt(2)/2", // -135 degrees
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"0",
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"sin(-2/3*pi)+sqrt(3)/2", // -120 degrees
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"0",
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"sin(-pi/2)", // -90 degrees
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"-1",
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"sin(-1/3*pi)+sqrt(3)/2", // -60 degrees
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"0",
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"sin(-1/4*pi)+sqrt(2)/2", // -45 degrees
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"0",
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"sin(-pi/6)", // -30 degrees
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"-1/2",
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"sin(0)", // 0 degrees
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"0",
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"sin(pi/6)", // 30 degrees
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"1/2",
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"sin(1/4*pi)-sqrt(2)/2", // 45 degrees
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"0",
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"sin(1/3*pi)-sqrt(3)/2", // 60 degrees
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"0",
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"sin(pi/2)", // 90 degrees
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"1",
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"sin(2/3*pi)-sqrt(3)/2", // 120 degrees
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"0",
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"sin(3/4*pi)-sqrt(2)/2", // 135 degrees
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"0",
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"sin(pi*5/6)", // 150 degrees
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"1/2",
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"sin(pi)", // 180 degrees
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"0",
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"sin(pi*7/6)", // 210 degrees
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"-1/2",
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// sine function is antisymmetric
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"sin(-x)",
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"-sin(x)",
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"sin(b-a)",
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"-sin(a-b)",
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};
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void
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test_sin(void)
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{
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test(__FILE__, s, sizeof s / sizeof (char *));
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}
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