Converted C++ comments to C89 and added reference
Single line comment are a feature of C++ and C99 and above while C89 only supports multiline comment /**/. In addition I added an additional reference for the addition and subtraction formulae.
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nuklear.h
33
nuklear.h
@ -8587,23 +8587,24 @@ nk_draw_list_path_arc_to(struct nk_draw_list *list, struct nk_vec2 center,
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if (!list) return;
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if (radius == 0.0f) return;
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// This algorithm for arc drawing relies on
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// these two trigonometric identities:
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// sin(a + b) = sin(a) * cos(b) + cos(a) * sin(b)
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// cos(a + b) = cos(a) * cos(b) - sin(a) * sin(b)
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//
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// Two coordinates (x, y) of a point on a circle centered on
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// the origin can be written in polar form as:
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// x = r * cos(a)
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// y = r * sin(a)
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// where r is the radius of the circle,
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// a is the angle between (x, y) and the origin.
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//
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// This allows us to rotate the coordinates around the
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// origin by an angle b using the following transformation:
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// x' = r * cos(a + b) = x * cos(b) - y * sin(b)
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// y' = r * sin(a + b) = y * cos(b) + x * sin(b)
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/* This algorithm for arc drawing relies on these two trigonometric identities[1]:
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sin(a + b) = sin(a) * cos(b) + cos(a) * sin(b)
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cos(a + b) = cos(a) * cos(b) - sin(a) * sin(b)
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Two coordinates (x, y) of a point on a circle centered on
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the origin can be written in polar form as:
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x = r * cos(a)
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y = r * sin(a)
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where r is the radius of the circle,
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a is the angle between (x, y) and the origin.
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This allows us to rotate the coordinates around the
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origin by an angle b using the following transformation:
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x' = r * cos(a + b) = x * cos(b) - y * sin(b)
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y' = r * sin(a + b) = y * cos(b) + x * sin(b)
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[1] https://en.wikipedia.org/wiki/List_of_trigonometric_identities#Angle_sum_and_difference_identities
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*/
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const float d_angle = (a_max - a_min) / (float)segments;
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const float sin_d = (float)NK_SIN(d_angle);
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const float cos_d = (float)NK_COS(d_angle);
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