{"id":4174,"date":"2018-06-21T22:13:18","date_gmt":"2018-06-21T14:13:18","guid":{"rendered":"http:\/\/www.bookcard.net\/wordpress\/?p=4174"},"modified":"2018-07-13T23:28:36","modified_gmt":"2018-07-13T15:28:36","slug":"game_model_vector3d","status":"publish","type":"post","link":"https:\/\/www.bookcard.net\/wordpress\/game_model_vector3d\/","title":{"rendered":"\u904a\u6232\u5efa\u6a21-\u77e2\u91cf\u904b\u7b97"},"content":{"rendered":"
\"\"<\/a>
\u904a\u6232\u5efa\u6a21-\u77e2\u91cf\u904b\u7b97<\/figcaption><\/figure>\n

\u77e2\u91cf(VECTOR)\u4e5f\u7a31\u300e\u5411\u91cf\u300f\u5176\u5be6\u662f\u62bd\u8c61\u300e\u91cf\u300f\u5b83\u5728\u904a\u6232\u4e16\u754c\u88ab\u9802\u7fa9\u70ba\u300e\u4f4d\u7f6e\u300f\u300e\u901f\u5ea6\u300f\u300e\u78e8\u64e6\u300f\u300e\u65b9\u5411\u300f\u300e\u9ede\u300f\u7b49\u7b49. \u77e2\u91cf\u901a\u5e38\u67093\u7a2e<\/p>\n\n\n\n\n\n\n
\u77e2\u91cf<\/td>\n\u5206\u91cf<\/td>\n\u7c21\u5e8f<\/td>\n<\/tr>\n
2D\u77e2\u91cf<\/td>\nx,y<\/td>\n2D\u7a7a\u9593<\/td>\n<\/tr>\n
3D\u77e2\u91cf<\/td>\nx,y,z<\/td>\n3D\u7a7a\u9593<\/td>\n<\/tr>\n
4D\u77e2\u91cf<\/td>\nx,y,z,w<\/td>\n3D\u7a7a\u9593w\u7e3d\u662f\u70ba1.\u7528\u65bc\u65b9\u9663\u904b\u7b97<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u9996\u5148\u5b9a\u7fa93D\u77e2\u91cf\u7d50\u69cb:<\/p>\n

typedef struct VECTOR3D_TYP{<\/p>\n

float x,y,z;<\/p>\n

}VECTOR3D,*VECTOR3D_PTR;<\/p>\n

\u4e0b\u9762\u662f3D\u77e2\u91cf(VECTOR)\u904b\u7b97\u51fd\u5f0f\u5eab.<\/p>\n

 <\/p>\n

\u8a08\u7b973D\u77e2\u91cf<\/strong>\u9577\u5ea6,\u77e2\u91cf<\/strong>\u9577\u5ea6\u4e5f\u7a31\u70ba\u7bc4\u6578(norm).\u5c07\u5176\u7406\u89e3\u70ba\u539f\u9ede(0,0,0)\u5230\u77e2\u91cf(x,y,z)\u4e4b\u8ddd\u96e2<\/strong><\/p>\n

float Length_VECTOR3D(VECTOR3D_PTR va){<\/p>\n

return( (float)sqrtf(va->xva->x + va->y<\/em>va->y + va->z*va->z) );<\/p>\n

}<\/p>\n

 <\/p>\n

\u5c0d3D\u77e2\u91cf<\/strong>\u9032\u884c\u6b78\u4e00\u5316(normalize),\u4e5f\u5c31\u4f7f\u5176\u9577\u5ea6\u7e2e\u653e\u70ba1,\u4f46\u540c\u6642\u65b9\u5411\u4fdd\u6301\u4e0d\u8b8a.\u5b83\u901a\u5e38\u88ab\u7528\u65bc\u7121\u9700\u7406\u6703\u9577\u5ea6\u4e4b\u904b\u7b97\u5982\u300e\u65b9\u5411\u300f<\/p>\n

void Normalize_VECTOR3D(VECTOR3D_PTR va){<\/p>\n

\/\/ 1.\u9996\u5148\u8a08\u7b97\u9577\u5ea6<\/p>\n

float length = sqrtf(va->xva->x + va->y<\/em>va->y + va->z*va->z);<\/p>\n

\/\/2.\u77e2\u91cf\u9664\u4ee5\u9577\u5ea6\u5f97\u5230<\/strong>\u6b78\u4e00\u5316\u77e2\u91cf<\/strong><\/p>\n

va->x= va->x\/length;<\/p>\n

va->y= va->y\/length;<\/p>\n

va->z= va->z\/length;<\/p>\n

}<\/p>\n

 <\/p>\n

3D<\/strong>\u77e2\u91cf<\/strong>\u9ede\u7a4d\u904b\u7b97\u53ef\u4ee5\u7406\u89e3\u70ba\u77e2\u91cf\u4e58\u6cd5<\/strong>.\u5148\u5c07\u5404\u5206\u91cf\u76f8\u4e58\u5f8c\u518d\u76f8\u52a0\u5f97\u5230\u4e00\u500b\u6a19\u91cf<\/p>\n

float operator%(VECTOR3D va, VECTOR3D vb){<\/p>\n

return((va.x * vb.x) + (va.y * vb.y) + (va.z * vb.z));<\/p>\n

}<\/p>\n

float Dot_VECTOR3D(VECTOR3D_PTR va, VECTOR3D_PTR vb){<\/p>\n

return( (va->x * vb->x) + (va->y * vb->y) + (va->z * vb->z) );<\/p>\n

}<\/p>\n

\u53c9\u7a4d\u662f\u53e6\u4e00\u7a2e\u77e2\u91cf\u4e58\u6cd5<\/strong>,\u53c9\u7a4d\u904b\u7b97\u6700\u5c0f\u8981\u67093\u500b\u5206\u91cf\u624d\u6709\u6548.<\/p>\n

VECTOR3D operator^(VECTOR3D va, VECTOR3D vb){<\/p>\n

VECTOR3D vn;<\/p>\n

vn.x = ((va.y * vb.z) – (va.z * vb.y));<\/p>\n

vn.y = -((va.x * vb.z) – (va.z * vb.x));<\/p>\n

vn.z = ((va.x * vb.y) – (va.y * vb.x));<\/p>\n

return(vn);<\/p>\n

}<\/p>\n

VECTOR3D Cross_VECTOR3D(VECTOR3D_PTR va, VECTOR3D_PTR vb){<\/p>\n

VECTOR3D vn;<\/p>\n

vn.x = \u00a0( (va->y * vb->z) – (va->z * vb->y) );<\/p>\n

vn.y = -( (va->x * vb->z) – (va->z * vb->x) );<\/p>\n

vn.z =\u00a0 ( (va->x * vb->y) – (va->y * vb->x) );<\/p>\n

return(vn);<\/p>\n

}<\/p>\n

 <\/p>\n

\u8a08\u7b97\u5169\u500b3D\u77e2\u91cf<\/strong>va\u548cvb\u4e4b\u9593\u593e\u89d2\u4f59\u5f26\u503c<\/p>\n

float CosTh_VECTOR3D(VECTOR3D_PTR va, VECTOR3D_PTR vb){<\/p>\n

return(Dot_VECTOR3D(va,vb)\/(Length_VECTOR3D(va)*Length_VECTOR3D(vb)));<\/p>\n

}<\/p>\n

 <\/p>\n

 <\/p>\n

\u8a08\u7b97\u4e09\u89d2\u5f62\u6cd5\u7dda<\/p>\n

void Normal_VECTOR3D(VECTOR3D_PTR normal,VECTOR3D_PTR va, VECTOR3D_PTR vb, VECTOR3D_PTR vc){<\/p>\n

VECTOR3D u, v, n;<\/p>\n

float length;<\/p>\n

u = *vb – *va;<\/p>\n

v = *vc – *va;<\/p>\n

n = u^v;\/\/Cross_VECTOR3D(&u, &v, &n);\/\/ \u8a08\u7b97\u53c9\u7a4d<\/p>\n

length = sqrtf(n.xn.x + n.y<\/em>n.y + n.z*n.z);<\/p>\n

normal->x = n.x\/length;<\/p>\n

normal->y = n.y\/length;<\/p>\n

normal->z = n.z\/length;<\/p>\n

}<\/p>\n

 <\/p>\n

\u5c07\u5169\u500b3D\u77e2\u91cf<\/strong>\u76f8\u52a0(va + vb),\u5982\u7528\u65bc\u4f4d\u7f6e\u79fb\u52d5<\/p>\n

VECTOR3D operator+(VECTOR3D va, VECTOR3D vb){<\/p>\n

VECTOR3D vsum;<\/p>\n

vsum.x = va.x + vb.x;<\/p>\n

vsum.y = va.y + vb.y;<\/p>\n

vsum.z = va.z + vb.z;<\/p>\n

return (vsum);\/\/\u8fd4\u56de\u76f8\u52a0\u7d50\u679c!<\/p>\n

}<\/p>\n

 <\/p>\n

\u5c07\u5169\u500b3D\u77e2\u91cf<\/strong>\u76f8\u6e1b(va – vb),\u5982\u7528\u65bc\u4f4d\u7f6e\u79fb\u52d5<\/p>\n

VECTOR3D operator-(VECTOR3D va, VECTOR3D vb){<\/p>\n

VECTOR3D vdiff;<\/p>\n

vdiff.x = va.x – vb.x;<\/p>\n

vdiff.y = va.y – vb.y;<\/p>\n

vdiff.z = va.z – vb.z;<\/p>\n

return(vdiff);\u00a0\u00a0\u00a0\u00a0 \/\/\u8fd4\u56de\u76f8\u6e1b\u5411\u91cf!<\/p>\n

}<\/p>\n

 <\/p>\n

3D<\/strong>\u77e2\u91cf<\/strong>\u53cd\u6578,\u5982\u8fd4\u8f49\u65b9\u5411<\/p>\n

VECTOR3D operator-(VECTOR3D v){<\/p>\n

VECTOR3D negation;<\/p>\n

negation.x = -v.x ;<\/p>\n

negation.y = -v.y ;<\/p>\n

negation.z = -v.z ;<\/p>\n

return(negation);\u00a0\u00a0\u00a0\u00a0 \/\/\u8fd4\u56de\u53cd\u6578\u5411\u91cf!<\/p>\n

}<\/p>\n

 <\/p>\n

\u4f7f\u7528\u7e2e\u653e\u56e0\u5b50k\u5c0d3D\u77e2\u91cf<\/strong>\u9032\u884c\u7e2e\u653e\u5982:\u4f4d\u7f6e=\u4f4d\u7f6e+\u901f\u5ea6*\u6642\u9593<\/p>\n

VECTOR3D operator*(VECTOR3D va, float k){<\/p>\n

VECTOR3D vscaled;<\/p>\n

vscaled.x = k * va.x;<\/p>\n

vscaled.y = k * va.y;<\/p>\n

vscaled.z = k * va.z;<\/p>\n

return vscaled;\/\/ \u8fd4\u56de\u7e2e\u653e\u5f8c\u5411\u91cf<\/p>\n

}<\/p>\n

 <\/p>\n

3D\u77e2\u91cf\u8ce6\u503c<\/p>\n

void Init_VECTOR3D(VECTOR3D_PTR v, float x,float y,float z) {<\/p>\n

v->x = x;\u00a0 v->y = y; v->z = z;<\/p>\n

}<\/p>\n

 <\/p>\n

3D\u77e2\u91cf\u62f7\u8c9d<\/p>\n

Copy_VECTOR3D(VECTOR3D_PTR vdst, VECTOR3D_PTR vsrc){<\/p>\n

vdst->x = vsrc->x;\u00a0 vdst->y = vsrc->y; vdst->z = vsrc->z;<\/p>\n

}<\/p>\n

 <\/p>\n

3D\u77e2\u91cf\u6bd4\u8f03<\/p>\n

bool operator==(VECTOR3D vdst, VECTOR3D vsrc){<\/p>\n

if (vdst.x == vsrc.x && vdst.y == vsrc.y && vdst.z == vsrc.z)<\/p>\n

return true;<\/p>\n

else<\/p>\n

return false;<\/p>\n

}<\/p>\n

 <\/p>\n

3D\u5411\u91cf\u4e0d\u7b49\u6bd4\u8f03<\/p>\n

bool operator!=(VECTOR3D vdst, VECTOR3D vsrc)<\/p>\n

{<\/p>\n

if (vdst.x != vsrc.x ||\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 vdst.y != vsrc.y ||vdst.z != vsrc.z)<\/p>\n

return true;<\/p>\n

else<\/p>\n

return false;<\/p>\n

}<\/p>\n

 <\/p>\n

\u5411\u91cf\u6b78\u96f6(3D\u5411\u91cf)\u7121\u65b9\u5411,\u7121\u8ddd\u96e2,\u4ee3\u8868\u4f4d\u65bc\u539f\u9ede<\/p>\n

void Zero_VECTOR3D(VECTOR3D_PTR v) {<\/p>\n

v->x = v->y = v->z = 0.0f;<\/p>\n

}<\/p>\n

\u8a08\u7b97\u5169\u77e2\u91cf\u4e4b\u9593\u593e\u89d2<\/p>\n

float Angle_VECTOR3D(VECTOR3D_PTR va, VECTOR3D_PTR vb){<\/p>\n

return acosf(*va % *vb);<\/p>\n

}<\/p>\n

\u89d2\u5ea6\u8f49\u5f27\u5ea6<\/p>\n

#define DEG_TO_RAD(ang) ((ang)*PI\/180.0)<\/p>\n

\u5f27\u5ea6\u8f49\u89d2\u5ea6<\/p>\n

#define RAD_TO_DEG(rads) ((rads)*180.0\/PI)<\/p>\n

\u96a8\u6a5f\u6578 x:\u4e0b\u9650,\u00a0 y:\u4e0a\u9650.<\/p>\n

#define RAND_RANGE(x,y) ( (x) + (rand()%((y)-(x)+1)))<\/p>\n

\u96a8\u6a5f\u6578: -1.0 ~ 1.0<\/p>\n

#define FRAND_RANGE1()\u00a0\u00a0 (((float)rand()-(float)rand())\/RAND_MAX)<\/p>\n

\u96a8\u6a5f\u6578 0~1<\/p>\n

#define FRAND_RANGE() ((float)rand() \/ (float)RAND_MAX)<\/p>\n","protected":false},"excerpt":{"rendered":"

\u77e2\u91cf(VECTOR)\u4e5f\u7a31\u300e\u5411\u91cf\u300f\u5176\u5be6\u662f\u62bd\u8c61\u300e\u91cf\u300f\u5b83\u5728\u904a\u6232\u4e16\u754c\u88ab\u9802\u7fa9\u70ba\u300e\u4f4d\u7f6e\u300f\u300e\u901f\u5ea6\u300f\u300e\u78e8\u64e6\u300f\u300e\u65b9\u5411\u300f\u300e\u9ede\u300f\u7b49\u7b49 … <\/p>\n

\u7e7c\u7e8c\u95b1\u8b80 \u904a\u6232\u5efa\u6a21-\u77e2\u91cf\u904b\u7b97<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11,13],"tags":[42],"class_list":["post-4174","post","type-post","status-publish","format-standard","hentry","category-algorithm","category-pc","tag-computer","entry"],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/posts\/4174","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4174"}],"version-history":[{"count":3,"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/posts\/4174\/revisions"}],"predecessor-version":[{"id":4204,"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/posts\/4174\/revisions\/4204"}],"wp:attachment":[{"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.bookcard.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}