diff options
Diffstat (limited to 'converter/other/pamtosvg/spline.c')
-rw-r--r-- | converter/other/pamtosvg/spline.c | 193 |
1 files changed, 193 insertions, 0 deletions
diff --git a/converter/other/pamtosvg/spline.c b/converter/other/pamtosvg/spline.c new file mode 100644 index 00000000..5bdf0c0e --- /dev/null +++ b/converter/other/pamtosvg/spline.c @@ -0,0 +1,193 @@ +/* spline.c: spline and spline list (represented as arrays) manipulation. */ + +#include <assert.h> + +#include "mallocvar.h" + +#include "message.h" +#include "point.h" +#include "spline.h" +#include "vector.h" + +/* Print a spline in human-readable form. */ + +void +print_spline (FILE *f, spline_type s) +{ + assert(SPLINE_DEGREE (s) == LINEARTYPE || SPLINE_DEGREE (s) == CUBICTYPE); + + if (SPLINE_DEGREE (s) == LINEARTYPE) + fprintf (f, "(%.3f,%.3f)--(%.3f,%.3f).\n", + START_POINT (s).x, START_POINT (s).y, + END_POINT (s).x, END_POINT (s).y); + + else if (SPLINE_DEGREE (s) == CUBICTYPE) + fprintf (f, "(%.3f,%.3f)..ctrls(%.3f,%.3f)&(%.3f,%.3f)..(%.3f,%.3f).\n", + START_POINT (s).x, START_POINT (s).y, + CONTROL1 (s).x, CONTROL1 (s).y, + CONTROL2 (s).x, CONTROL2 (s).y, + END_POINT (s).x, END_POINT (s).y); +} + + +/* Evaluate the spline S at a given T value. This is an implementation + of de Casteljau's algorithm. See Schneider's thesis, p.37. + The variable names are taken from there. */ + +float_coord +evaluate_spline (spline_type s, float t) +{ + spline_type V[4]; /* We need degree+1 splines, but assert degree <= 3. */ + signed i, j; + float one_minus_t = (float) 1.0 - t; + polynomial_degree degree = SPLINE_DEGREE (s); + + for (i = 0; i <= degree; i++) + { + V[0].v[i].x = s.v[i].x; + V[0].v[i].y = s.v[i].y; + V[0].v[i].z = s.v[i].z; + } + + for (j = 1; j <= degree; j++) + for (i = 0; i <= degree - j; i++) + { + float_coord t1 = Pmult_scalar (V[j - 1].v[i], one_minus_t); + float_coord t2 = Pmult_scalar (V[j - 1].v[i + 1], t); + float_coord temp = Padd (t1, t2); + V[j].v[i].x = temp.x; + V[j].v[i].y = temp.y; + V[j].v[i].z = temp.z; + } + + return V[degree].v[0]; +} + + +/* Return a new, empty, spline list. */ + +spline_list_type * +new_spline_list (void) +{ + spline_list_type *answer; + + MALLOCVAR(answer); + *answer = empty_spline_list(); + return answer; +} + +spline_list_type +empty_spline_list (void) +{ + spline_list_type answer; + SPLINE_LIST_DATA (answer) = NULL; + SPLINE_LIST_LENGTH (answer) = 0; + return answer; +} + +/* Return a new spline list with SPLINE as the first element. */ + +spline_list_type * +new_spline_list_with_spline (spline_type spline) +{ + spline_list_type *answer; + + answer = new_spline_list(); + MALLOCVAR(SPLINE_LIST_DATA(*answer)); + SPLINE_LIST_ELT (*answer, 0) = spline; + SPLINE_LIST_LENGTH (*answer) = 1; + + return answer; +} + + +/* Free the storage in a spline list. We don't have to free the + elements, since they are arrays in automatic storage. And we don't + want to free the list if it was empty. */ + +void +free_spline_list (spline_list_type spline_list) +{ + if (SPLINE_LIST_DATA (spline_list) != NULL) + free (SPLINE_LIST_DATA (spline_list)); +} + + +/* Append the spline S to the list SPLINE_LIST. */ + +void +append_spline (spline_list_type *l, spline_type s) +{ + assert (l != NULL); + + SPLINE_LIST_LENGTH (*l)++; + REALLOCARRAY(SPLINE_LIST_DATA(*l), SPLINE_LIST_LENGTH(*l)); + LAST_SPLINE_LIST_ELT (*l) = s; +} + + +/* Tack the elements in the list S2 onto the end of S1. + S2 is not changed. */ + +void +concat_spline_lists (spline_list_type *s1, spline_list_type s2) +{ + unsigned this_spline; + unsigned new_length; + + assert (s1 != NULL); + + new_length = SPLINE_LIST_LENGTH (*s1) + SPLINE_LIST_LENGTH (s2); + + REALLOCARRAY_NOFAIL(SPLINE_LIST_DATA(*s1), new_length); + + for (this_spline = 0; this_spline < SPLINE_LIST_LENGTH (s2); this_spline++) + SPLINE_LIST_ELT (*s1, SPLINE_LIST_LENGTH (*s1)++) + = SPLINE_LIST_ELT (s2, this_spline); +} + + +/* Return a new, empty, spline list array. */ + +spline_list_array_type +new_spline_list_array (void) +{ + spline_list_array_type answer; + + SPLINE_LIST_ARRAY_DATA (answer) = NULL; + SPLINE_LIST_ARRAY_LENGTH (answer) = 0; + + return answer; +} + + +/* Free the storage in a spline list array. We don't + want to free the list if it is empty. */ +void +free_spline_list_array (spline_list_array_type *spline_list_array) +{ + unsigned this_list; + + for (this_list = 0; + this_list < SPLINE_LIST_ARRAY_LENGTH (*spline_list_array); + this_list++) + free_spline_list (SPLINE_LIST_ARRAY_ELT (*spline_list_array, this_list)); + + if (SPLINE_LIST_ARRAY_DATA (*spline_list_array) != NULL) + free (SPLINE_LIST_ARRAY_DATA (*spline_list_array)); + + flush_log_output (); +} + + +/* Append the spline S to the list SPLINE_LIST_ARRAY. */ + +void +append_spline_list (spline_list_array_type *l, spline_list_type s) +{ + SPLINE_LIST_ARRAY_LENGTH (*l)++; + REALLOCARRAY_NOFAIL(SPLINE_LIST_ARRAY_DATA(*l), + SPLINE_LIST_ARRAY_LENGTH(*l)); + LAST_SPLINE_LIST_ARRAY_ELT (*l) = s; +} + |