From 44c966116966d49513776717117445065fa7a2f6 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=91=D1=80=D0=B0=D0=BD=D0=B8=D0=BC=D0=B8=D1=80=20=D0=9A?= =?UTF-8?q?=D0=B0=D1=80=D0=B0=D1=9F=D0=B8=D1=9B?= Date: Fri, 8 Oct 2021 19:06:39 -0700 Subject: [PATCH] Cleanup. --- include/bx/inline/math.inl | 81 ++++++++++++++++++++++++++++--------- include/bx/math.h | 21 +++++++--- tests/math_test.cpp | 70 +++++++++++++++++++++++--------- tools/bin/linux/bin2c | Bin 88112 -> 92368 bytes tools/bin/linux/lemon | Bin 84576 -> 84728 bytes 5 files changed, 126 insertions(+), 46 deletions(-) diff --git a/include/bx/inline/math.inl b/include/bx/inline/math.inl index 6699a73..4c45114 100644 --- a/include/bx/inline/math.inl +++ b/include/bx/inline/math.inl @@ -690,6 +690,14 @@ namespace bx }; } + inline BX_CONSTEXPR_FUNC bool equal(const Vec3 _a, const Vec3 _b, float _epsilon) + { + return equal(_a.x, _b.x, _epsilon) + && equal(_a.y, _b.y, _epsilon) + && equal(_a.z, _b.z, _epsilon) + ; + } + inline void calcTangentFrame(Vec3& _outT, Vec3& _outB, const Vec3 _n) { const float nx = _n.x; @@ -891,6 +899,24 @@ namespace bx return normalize(qq); } + inline BX_CONST_FUNC Quaternion fromEuler(const Vec3 _euler) + { + const float sx = sin(_euler.x * 0.5f); + const float cx = cos(_euler.x * 0.5f); + const float sy = sin(_euler.y * 0.5f); + const float cy = cos(_euler.y * 0.5f); + const float sz = sin(_euler.z * 0.5f); + const float cz = cos(_euler.z * 0.5f); + + return + { + sx * cy * cz - cx * sy * sz, + cx * sy * cz + sx * cy * sz, + cx * cy * sz - sx * sy * cz, + cx * cy * cz + sx * sy * sz, + }; + } + inline BX_CONST_FUNC Vec3 toEuler(const Quaternion _a) { const float xx = _a.x; @@ -960,7 +986,7 @@ namespace bx }; } - inline BX_CONST_FUNC Quaternion rotateAxis(const Vec3 _axis, float _angle) + inline BX_CONST_FUNC Quaternion fromAxisAngle(const Vec3 _axis, float _angle) { const float ha = _angle * 0.5f; const float sa = sin(ha); @@ -974,6 +1000,24 @@ namespace bx }; } + inline void toAxisAngle(Vec3& _outAxis, float& _outAngle, const Quaternion _a) + { + const float ww = _a.w; + const float sa = sqrt(1.0f - square(ww) ); + + _outAngle = 2.0f * acos(ww); + + if (0.001f > sa) + { + _outAxis = { _a.x, _a.y, _a.z }; + return; + } + + const float invSa = 1.0f/sa; + + _outAxis = { _a.x * invSa, _a.y * invSa, _a.z * invSa }; + } + inline BX_CONST_FUNC Quaternion rotateX(float _ax) { const float hx = _ax * 0.5f; @@ -1013,6 +1057,15 @@ namespace bx }; } + inline BX_CONSTEXPR_FUNC bool equal(const Quaternion _a, const Quaternion _b, float _epsilon) + { + return equal(_a.x, _b.x, _epsilon) + && equal(_a.y, _b.y, _epsilon) + && equal(_a.z, _b.z, _epsilon) + && equal(_a.w, _b.w, _epsilon) + ; + } + inline void mtxIdentity(float* _result) { memSet(_result, 0, sizeof(float)*16); @@ -1079,12 +1132,12 @@ namespace bx _result[15] = 1.0f; } - inline void mtxQuat(float* _result, const Quaternion& _quat) + inline void mtxFromQuaternion(float* _result, const Quaternion& _rotation) { - const float qx = _quat.x; - const float qy = _quat.y; - const float qz = _quat.z; - const float qw = _quat.w; + const float qx = _rotation.x; + const float qy = _rotation.y; + const float qz = _rotation.z; + const float qw = _rotation.w; const float x2 = qx + qx; const float y2 = qy + qy; @@ -1120,24 +1173,12 @@ namespace bx _result[15] = 1.0f; } - inline void mtxQuatTranslation(float* _result, const Quaternion& _quat, const Vec3& _translation) + inline void mtxFromQuaternion(float* _result, const Quaternion& _rotation, const Vec3& _translation) { - mtxQuat(_result, _quat); + mtxFromQuaternion(_result, _rotation); store(&_result[12], neg(mulXyz0(_translation, _result) ) ); } - inline void mtxQuatTranslationHMD(float* _result, const Quaternion& _quat, const Vec3& _translation) - { - const Quaternion quat = - { - -_quat.x, - -_quat.y, - _quat.z, - _quat.w, - }; - mtxQuatTranslation(_result, quat, _translation); - } - inline Vec3 mul(const Vec3& _vec, const float* _mat) { Vec3 result(init::None); diff --git a/include/bx/math.h b/include/bx/math.h index ee4aa29..ba39abf 100644 --- a/include/bx/math.h +++ b/include/bx/math.h @@ -447,6 +447,9 @@ namespace bx /// BX_CONSTEXPR_FUNC Vec3 rcp(const Vec3 _a); + /// + BX_CONSTEXPR_FUNC bool equal(const Vec3 _a, const Vec3 _b, float _epsilon); + /// void calcTangentFrame(Vec3& _outT, Vec3& _outB, const Vec3 _n); @@ -489,6 +492,9 @@ namespace bx /// BX_CONSTEXPR_FUNC Quaternion lerp(const Quaternion _a, const Quaternion _b, float _t); + /// + BX_CONST_FUNC Quaternion fromEuler(const Vec3 _euler); + /// BX_CONST_FUNC Vec3 toEuler(const Quaternion _a); @@ -502,7 +508,10 @@ namespace bx BX_CONST_FUNC Vec3 toZAxis(const Quaternion _a); /// - BX_CONST_FUNC Quaternion rotateAxis(const Vec3 _axis, float _angle); + BX_CONST_FUNC Quaternion fromAxisAngle(const Vec3 _axis, float _angle); + + /// + void toAxisAngle(Vec3& _outAxis, float& _outAngle, const Quaternion _a); /// BX_CONST_FUNC Quaternion rotateX(float _ax); @@ -513,6 +522,9 @@ namespace bx /// BX_CONST_FUNC Quaternion rotateZ(float _az); + /// + BX_CONSTEXPR_FUNC bool equal(const Quaternion _a, const Quaternion _b, float _epsilon); + /// void mtxIdentity(float* _result); @@ -543,13 +555,10 @@ namespace bx ); /// - void mtxQuat(float* _result, const Quaternion& _quat); + void mtxFromQuaternion(float* _result, const Quaternion& _rotation); /// - void mtxQuatTranslation(float* _result, const Quaternion& _quat, const Vec3& _translation); - - /// - void mtxQuatTranslationHMD(float* _result, const Quaternion& _quat, const Vec3& _translation); + void mtxFromQuaternion(float* _result, const Quaternion& _rotation, const Vec3& _translation); /// void mtxLookAt( diff --git a/tests/math_test.cpp b/tests/math_test.cpp index fa3a00d..b049194 100644 --- a/tests/math_test.cpp +++ b/tests/math_test.cpp @@ -228,7 +228,7 @@ void mtxCheck(const float* _a, const float* _b) , _b[12], _b[13], _b[14], _b[15] ); - CHECK(false); + REQUIRE(false); } } @@ -238,7 +238,13 @@ TEST_CASE("quaternion", "") float mtx[16]; bx::Quaternion quat = bx::init::Identity; - bx::mtxQuat(mtxQ, quat); + bx::Quaternion q2 = bx::init::None; + + bx::Vec3 axis = bx::init::None; + bx::Vec3 euler = bx::init::None; + float angle; + + bx::mtxFromQuaternion(mtxQ, quat); bx::mtxIdentity(mtx); mtxCheck(mtxQ, mtx); @@ -246,27 +252,51 @@ TEST_CASE("quaternion", "") float ay = bx::kPi/13.0f; float az = bx::kPi/7.0f; - quat = bx::rotateX(ax); - bx::mtxQuat(mtxQ, quat); - bx::mtxRotateX(mtx, ax); - mtxCheck(mtxQ, mtx); + { // x + quat = bx::rotateX(ax); + bx::mtxFromQuaternion(mtxQ, quat); + bx::mtxRotateX(mtx, ax); + mtxCheck(mtxQ, mtx); - bx::Vec3 euler = bx::toEuler(quat); - CHECK(bx::equal(euler.x, ax, 0.001f) ); + bx::toAxisAngle(axis, angle, quat); + REQUIRE(bx::equal(axis, bx::Vec3{1.0f, 0.0f, 0.0f}, 0.01f) ); + REQUIRE(bx::equal(angle, ax, 0.01f) ); - quat = bx::rotateY(ay); - bx::mtxQuat(mtxQ, quat); - bx::mtxRotateY(mtx, ay); - mtxCheck(mtxQ, mtx); + euler = bx::toEuler(quat); + REQUIRE(bx::equal(euler.x, ax, 0.001f) ); + q2 = bx::fromEuler(euler); + REQUIRE(bx::equal(quat, q2, 0.001f) ); + } - euler = bx::toEuler(quat); - CHECK(bx::equal(euler.y, ay, 0.001f) ); + { // y + quat = bx::rotateY(ay); + bx::mtxFromQuaternion(mtxQ, quat); + bx::mtxRotateY(mtx, ay); + mtxCheck(mtxQ, mtx); - quat = bx::rotateZ(az); - bx::mtxQuat(mtxQ, quat); - bx::mtxRotateZ(mtx, az); - mtxCheck(mtxQ, mtx); + bx::toAxisAngle(axis, angle, quat); + REQUIRE(bx::equal(axis, bx::Vec3{0.0f, 1.0f, 0.0f}, 0.01f) ); + REQUIRE(bx::equal(angle, ay, 0.01f) ); + euler = bx::toEuler(quat); + REQUIRE(bx::equal(euler.y, ay, 0.001f) ); + q2 = bx::fromEuler(euler); + REQUIRE(bx::equal(quat, q2, 0.001f) ); - euler = bx::toEuler(quat); - CHECK(bx::equal(euler.z, az, 0.001f) ); + } + + { // z + quat = bx::rotateZ(az); + bx::mtxFromQuaternion(mtxQ, quat); + bx::mtxRotateZ(mtx, az); + mtxCheck(mtxQ, mtx); + + bx::toAxisAngle(axis, angle, quat); + REQUIRE(bx::equal(axis, bx::Vec3{0.0f, 0.0f, 1.0f}, 0.01f) ); + REQUIRE(bx::equal(angle, az, 0.01f) ); + + euler = bx::toEuler(quat); + REQUIRE(bx::equal(euler.z, az, 0.001f) ); + q2 = bx::fromEuler(euler); + REQUIRE(bx::equal(quat, q2, 0.001f) ); + } } diff --git a/tools/bin/linux/bin2c b/tools/bin/linux/bin2c index 39015b9b40e20724f9d2af34db63527a281490d5..2b8fca8ccc19e183549e78cfd80651da98992a82 100755 GIT binary patch literal 92368 zcmeFa4R}*U_CKD`7E&zSpdeL2qDE~OfmT6V1#KXuH=05f5LRIUOA(ZpE+hymLNSTv zZoE)eblF{ZMOR&S*Zs=AA-K-Y>SMi>=V;$1D^F9s zH2P_yKls?#-}raoA)eO0_4QbLR>FXf;d|XJ9ISoo>yd1hPU7{JmL-2z_T=@ZWbkjT z9*K+UDR=Yo%KgdTR#l$bwrGMX8NZ!sdF`9ppwEQE zo>~8!_Da-x1($HXjNjj?glXSed$*$=$>m%>s@hF=sO@#7hoGtl?VD3&G7XzI_nzyA z51Th@$h^4=yi12H&AWcc^}~lQUO4nxMgq}AZIDeBjhkeGTEYZV#mIEgS4~s?{O*mf z#*~j{e|yVAjhkyPG!38l`-e3g)Fzdo57k#y%+mBb2mh!H=YJK06O2B)%687@zdHZ> zFH}6gldNHY_vr-Q2v}$3>$-ps>H`1gU6g;ki}L4p0e`#;Jcqj|e|s0@f7wO(@m;{v zx`5x=1^mq};NC9idA|$zt6jj4c7cC+7w~Caz=$YOH{Gu-KJktf- z(*-=M3;3)q;IDK+4|SZ*?D?%O%5UkS{FhynzrKs|Gw+#KW|}_z-uVj`OkeDoxyUnpx``F-wBW3HrSldpE;G%Vw|Lon z{9RaHwtyO0?3qTh#E@37M0B_ zn+aT~Udn4ODw{cL*4#y=*$gdfiINLuE?BsDURhZ=G8Wwr9H6uG{^_N2?w>w;=G=Lv z`S(*PRGv3)VX0|x>724z)0fRHn>WieyKLcXwauBHvZZr9ruk*_7ngZVrE{nX5~cIY zP2L3nl`U9e0v8Lt9@Ff_Wo7p-ynZ-p&Rx8)G(Ug(?8T)s7tChm%a@sEa~aI%?alU- zpnStMCWck|X3t$PbKcxv zl$jPULu2#i0lXA^GKv}A>C;J2s*dK*oVx(rEn2j25v#Be)B#(WsmSdbJ!bl~L$4h= z!Zc>e6vt@S^xUD>4b9gj;$?1#{~8|ul{=iwsGH%x6r@w}FHMDaH}x=-pxn;>BU~w% z@9=yLw;7HBCdDF{9ROeA5_DW9_nCubf9C@LA*&Z1*eoW9UyY zou>}gX4HK_Esrl#|G9H}(Jbpi+EZxIoQ`2i7e+t8Sn&~HMnz!FA-o7?p)aGfe z>U_LHokwc$4Jv${0dCDDDom#J2DnXyzhr=$RQLu1d_B{K$<$zg&rr)Z8sO_y_+A4% zM};>V;2Tu@?MAp--ZYylMB{h;2+o(q0B=;`RwG=+lVyO1Rd|j8zCp#4XMoSRmbY7C zfVZmfDF%3fif4uazTtX~XO01Gy^g~x3~-YQ4;tVlD*j3Xe7#!!B?CN1mGcGzyj;bz z$pF{r3>)AYoqG-N0u_I=0bZfvR}65CPSd@~`YloMSPbx16>c@cX`sR<%K&fA=kOc@ zyj6wg8Q|6%dHE6pyz(&)pJIR)$Q(Yy0B=;w&oRK8Rd~4pZc_0qHNb5uywU&=N;055os z!}l8C8&rOq4e(aAUBv*m{f6T)%}v((47FX00dCXm!2oa7^lN~dR6IEb_=d-MyLkq9 z!8#5vF~BQT`Ajju3sgKa3~;MT&r$o(2QF`CeYW*#KX^ki!)Nyg$EN4Dgc098b9c zUZC=|)Ckw?!2n;c%6XjuUOAuRUvGfhR6H*k;3eg}eAocbQT5(nfSXi2jRyF7RnCe5 zUh)*j-)evt{F=kt4e;`3IozbiFSYqwtLpbG26)cXyu8f-U$3^CWq?x8@q5rCSEH}Wl@nWd~u8r>%2Dmnk z2MzEX)vs0>;M(}I&H&fOqxA;3X16aH;M#b!$pF{p17QO^K5iP|+Pq?~0j}A9vjMKz zxv4x^o?3c}S{{o-tUwc=IXZYw0&Lo#gZJ0L8+GujbZ|unAFPA7>fl3k@OB-1s19yj z!0GP+82`mHGj(t+7EU=f9bAj)6Ff@?Pa}Z($EQiz@C`cng*x~q9XwM959{C;>EI1I_{BPSqYi$F4!&0h z*Y^G>yIBVxs4K7N;Of>N%Wc)c2kFYU>)MC&_u)$zWTNtHYTXw3G!~0hvNR0< zZINB^G!0yBk?MGw27XdDfpU2bW;M*cI z<7sm2ZIRpKX>#ao5l1{tj=U|B8&8u1Z;MbA&NXElDw zL4*HznjACukEh8Yga3G%95MKhr^x|>|9F}lFZhqA$>D|M4_ARPY~9lOqNH@iaM5@P9_*-^S9P#?$05!GAnWjuQOG z)8rt*e>_c&5&Xx~$I!(+zksfhda(aj% zeWf8i(2(wDNcS?N(+ue|wkzMNFO$&_Z!mh8`AF>(pwGbw+!ij8`6I>q+c+k ze{V=XX-Lb4bij~)$dL9L((?`JGDCWrAw9{EE;ghK4e3#a^aw+Gh#`HYAwAHL?q^8% zGNjWC=`${a{`G0cWKn99&N}XNOma+|G(lYTVou;5oqNdy2(pfhel+(6G zOs0Cj9j&ns$%2Xkw4Osu%7>E}2mU{%5UMxrSwNY4;&uEbUX_cTl*F&sY1k1Zr`@7- z2h1J9uiPdkj#RrFytR%&zU;P75v6xs(z{AI{BWqRy)buMVQx5g8$;rjmfJIx6Y${3 zaZ6vh63pEm+;sn;M-O>3Wi9kEfR2v}dBcvaEm-emkxBASF(r9dZyu z%Q=N#iPEv}!T9{`TnH8j0b=WQGsbGU-_1B4Afn-yR9Vdyg$0cw7|*0%+mW+D%Ms>n zrzTpNjJR}x=OKniY^36QiAdsxFg9xSkWmc*1rCvF8UU5H&lcv@QW-@p;}FKZC-m{# zHz7S+XbB^$UCk0pYlLjK-6ooAol>)q{TP#4b|V$vi!#pqW~VT&*|F+dvLV6$Ggu

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