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-rw-r--r--buch/chapters/030-geometrie/trigo/1.m33
1 files changed, 33 insertions, 0 deletions
diff --git a/buch/chapters/030-geometrie/trigo/1.m b/buch/chapters/030-geometrie/trigo/1.m
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+++ b/buch/chapters/030-geometrie/trigo/1.m
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+#
+# 1.m
+#
+#
+n = 10;
+format long;
+
+function retval = snewtonstep(x, s)
+ corr = (-4*x*x*x+3*x-s) / (-12*x*x + 3);
+ retval = x - corr;
+end
+
+function retval = cnewtonstep(x, c)
+ corr = (4*x*x*x-3*x-c) / (12*x*x - 3);
+ retval = x - corr;
+end
+
+s0 = pi / 180;
+
+s3 = sind(3)
+c3 = cosd(3)
+
+r = zeros(n+1,2)
+r(1,1) = pi / 180;
+r(1,2) = sqrt(1-r(1,1)^2);
+
+for i = (1:n)
+ r(i+1,1) = snewtonstep(r(i,1), s3);
+ r(i+1,2) = cnewtonstep(r(i,2), c3);
+endfor
+
+r
+