| 1 | #include "Library/Matrix/MatrixUtil.h" |
| 2 | |
| 3 | #include "Library/Math/MathUtil.h" |
| 4 | |
| 5 | namespace al { |
| 6 | |
| 7 | void makeMtxRotateTrans(sead::Matrix34f* outMtx, const sead::Vector3f& rotate, |
| 8 | const sead::Vector3f& trans) { |
| 9 | sead::Vector3f rotateRad(sead::Mathf::deg2rad(deg: rotate.x), sead::Mathf::deg2rad(deg: rotate.y), |
| 10 | sead::Mathf::deg2rad(deg: rotate.z)); |
| 11 | outMtx->makeRT(r: rotateRad, t: trans); |
| 12 | } |
| 13 | |
| 14 | void makeMtxFromTwoAxis(sead::Matrix34f* outMtx, const sead::Vector3f& vectorA, |
| 15 | const sead::Vector3f& vectorB, s32 axisA, s32 axisB) { |
| 16 | sead::Vector3f dir[3]; |
| 17 | |
| 18 | s32 axisC; |
| 19 | if (axisA == 0) |
| 20 | axisC = axisB == 1 ? 2 : 1; |
| 21 | else if (axisA == 1) |
| 22 | axisC = axisB == 0 ? 2 : 0; |
| 23 | else |
| 24 | axisC = axisB == 0 ? 1 : 0; |
| 25 | |
| 26 | normalize(out: &dir[axisA], vec: vectorA); |
| 27 | dir[axisB] = vectorB; |
| 28 | |
| 29 | dir[axisC].setCross(a: dir[(axisC + 1) % 3], b: dir[(axisC + 2) % 3]); |
| 30 | normalize(vec: &dir[axisC]); |
| 31 | |
| 32 | dir[axisB].setCross(a: dir[(axisB + 1) % 3], b: dir[(axisB + 2) % 3]); |
| 33 | |
| 34 | outMtx->setBase(axis: 0, v: dir[0]); // side |
| 35 | outMtx->setBase(axis: 1, v: dir[1]); // up |
| 36 | outMtx->setBase(axis: 2, v: dir[2]); // front |
| 37 | } |
| 38 | |
| 39 | void makeMtxFrontUp(sead::Matrix34f* outMtx, const sead::Vector3f& front, |
| 40 | const sead::Vector3f& up) { |
| 41 | sead::Vector3f frontNorm = front; |
| 42 | normalize(vec: &frontNorm); |
| 43 | |
| 44 | sead::Vector3f side; |
| 45 | side.setCross(a: up, b: frontNorm); |
| 46 | normalize(vec: &side); |
| 47 | |
| 48 | sead::Vector3f upNorm; |
| 49 | upNorm.setCross(a: frontNorm, b: side); |
| 50 | |
| 51 | outMtx->setBase(axis: 0, v: side); |
| 52 | outMtx->setBase(axis: 1, v: upNorm); |
| 53 | outMtx->setBase(axis: 2, v: frontNorm); |
| 54 | } |
| 55 | |
| 56 | void makeMtxFrontSide(sead::Matrix34f* outMtx, const sead::Vector3f& front, |
| 57 | const sead::Vector3f& side) { |
| 58 | sead::Vector3f frontNorm = front; |
| 59 | normalize(vec: &frontNorm); |
| 60 | |
| 61 | sead::Vector3f up; |
| 62 | up.setCross(a: frontNorm, b: side); |
| 63 | normalize(vec: &up); |
| 64 | |
| 65 | sead::Vector3f sideNorm; |
| 66 | sideNorm.setCross(a: up, b: frontNorm); |
| 67 | |
| 68 | outMtx->setBase(axis: 0, v: sideNorm); |
| 69 | outMtx->setBase(axis: 1, v: up); |
| 70 | outMtx->setBase(axis: 2, v: frontNorm); |
| 71 | } |
| 72 | |
| 73 | void makeMtxUpFront(sead::Matrix34f* outMtx, const sead::Vector3f& up, |
| 74 | const sead::Vector3f& front) { |
| 75 | sead::Vector3f upNorm = up; |
| 76 | normalize(vec: &upNorm); |
| 77 | |
| 78 | sead::Vector3f side; |
| 79 | side.setCross(a: up, b: front); |
| 80 | normalize(vec: &side); |
| 81 | |
| 82 | sead::Vector3f frontNorm; |
| 83 | frontNorm.setCross(a: side, b: upNorm); |
| 84 | |
| 85 | outMtx->setBase(axis: 0, v: side); |
| 86 | outMtx->setBase(axis: 1, v: upNorm); |
| 87 | outMtx->setBase(axis: 2, v: frontNorm); |
| 88 | } |
| 89 | |
| 90 | void makeMtxUpSide(sead::Matrix34f* outMtx, const sead::Vector3f& up, const sead::Vector3f& side) { |
| 91 | sead::Vector3f upNorm = up; |
| 92 | normalize(vec: &upNorm); |
| 93 | |
| 94 | sead::Vector3f front; |
| 95 | front.setCross(a: side, b: up); |
| 96 | normalize(vec: &front); |
| 97 | |
| 98 | sead::Vector3f sideNorm; |
| 99 | sideNorm.setCross(a: upNorm, b: front); |
| 100 | |
| 101 | outMtx->setBase(axis: 0, v: sideNorm); |
| 102 | outMtx->setBase(axis: 1, v: upNorm); |
| 103 | outMtx->setBase(axis: 2, v: front); |
| 104 | } |
| 105 | |
| 106 | void makeMtxSideUp(sead::Matrix34f* outMtx, const sead::Vector3f& side, const sead::Vector3f& up) { |
| 107 | makeMtxFromTwoAxis(outMtx, vectorA: side, vectorB: up, axisA: 0, axisB: 1); |
| 108 | } |
| 109 | |
| 110 | void makeMtxSideFront(sead::Matrix34f* outMtx, const sead::Vector3f& side, |
| 111 | const sead::Vector3f& front) { |
| 112 | makeMtxFromTwoAxis(outMtx, vectorA: side, vectorB: front, axisA: 0, axisB: 2); |
| 113 | } |
| 114 | |
| 115 | void makeMtxFrontNoSupport(sead::Matrix34f* outMtx, const sead::Vector3f& front) { |
| 116 | bool isYAxis = getMaxAbsElementIndex(vec: front) == 1; |
| 117 | |
| 118 | sead::Vector3f up; |
| 119 | up.x = isYAxis ? sead::Vector3f::ez.x : sead::Vector3f::ey.x; |
| 120 | up.y = isYAxis ? sead::Vector3f::ez.y : sead::Vector3f::ey.y; |
| 121 | up.z = isYAxis ? sead::Vector3f::ez.z : sead::Vector3f::ey.z; |
| 122 | |
| 123 | makeMtxFrontUp(outMtx, front, up); |
| 124 | } |
| 125 | |
| 126 | void makeMtxFrontNoSupportPos(sead::Matrix34f* outMtx, const sead::Vector3f& front, |
| 127 | const sead::Vector3f& pos) { |
| 128 | makeMtxFrontNoSupport(outMtx, front); |
| 129 | outMtx->setBase(axis: 3, v: pos); |
| 130 | } |
| 131 | |
| 132 | void makeMtxUpNoSupport(sead::Matrix34f* outMtx, const sead::Vector3f& up) { |
| 133 | bool isZAxis = getMaxAbsElementIndex(vec: up) == 2; |
| 134 | |
| 135 | sead::Vector3f front; |
| 136 | front.x = isZAxis ? sead::Vector3f::ex.x : sead::Vector3f::ez.x; |
| 137 | front.y = isZAxis ? sead::Vector3f::ex.y : sead::Vector3f::ez.y; |
| 138 | front.z = isZAxis ? sead::Vector3f::ex.z : sead::Vector3f::ez.z; |
| 139 | |
| 140 | makeMtxUpFront(outMtx, up, front); |
| 141 | } |
| 142 | |
| 143 | void makeMtxUpNoSupportPos(sead::Matrix34f* outMtx, const sead::Vector3f& up, |
| 144 | const sead::Vector3f& pos) { |
| 145 | makeMtxUpNoSupport(outMtx, up); |
| 146 | outMtx->setBase(axis: 3, v: pos); |
| 147 | } |
| 148 | |
| 149 | void makeMtxFrontUpPos(sead::Matrix34f* outMtx, const sead::Vector3f& front, |
| 150 | const sead::Vector3f& up, const sead::Vector3f& pos) { |
| 151 | makeMtxFrontUp(outMtx, front, up); |
| 152 | outMtx->setBase(axis: 3, v: pos); |
| 153 | } |
| 154 | |
| 155 | void makeMtxFrontSidePos(sead::Matrix34f* outMtx, const sead::Vector3f& front, |
| 156 | const sead::Vector3f& side, const sead::Vector3f& pos) { |
| 157 | makeMtxFrontSide(outMtx, front, side); |
| 158 | outMtx->setBase(axis: 3, v: pos); |
| 159 | } |
| 160 | |
| 161 | void makeMtxUpFrontPos(sead::Matrix34f* outMtx, const sead::Vector3f& up, |
| 162 | const sead::Vector3f& front, const sead::Vector3f& pos) { |
| 163 | makeMtxUpFront(outMtx, up, front); |
| 164 | outMtx->setBase(axis: 3, v: pos); |
| 165 | } |
| 166 | |
| 167 | void makeMtxUpSidePos(sead::Matrix34f* outMtx, const sead::Vector3f& up, const sead::Vector3f& side, |
| 168 | const sead::Vector3f& pos) { |
| 169 | makeMtxUpSide(outMtx, up, side); |
| 170 | outMtx->setBase(axis: 3, v: pos); |
| 171 | } |
| 172 | |
| 173 | void makeMtxSideUpPos(sead::Matrix34f* outMtx, const sead::Vector3f& side, const sead::Vector3f& up, |
| 174 | const sead::Vector3f& pos) { |
| 175 | makeMtxSideUp(outMtx, side, up); |
| 176 | outMtx->setBase(axis: 3, v: pos); |
| 177 | } |
| 178 | |
| 179 | void makeMtxSideFrontPos(sead::Matrix34f* outMtx, const sead::Vector3f& side, |
| 180 | const sead::Vector3f& front, const sead::Vector3f& pos) { |
| 181 | makeMtxSideFront(outMtx, side, front); |
| 182 | outMtx->setBase(axis: 3, v: pos); |
| 183 | } |
| 184 | |
| 185 | void makeMtxFollowTarget(sead::Matrix34f* outMtx, const sead::Matrix34f& baseMtx, |
| 186 | const sead::Vector3f& trans, const sead::Vector3f& rotate) { |
| 187 | sead::Matrix34f rotationMatrix; |
| 188 | sead::Vector3f rotateRad(sead::Mathf::deg2rad(deg: rotate.x), sead::Mathf::deg2rad(deg: rotate.y), |
| 189 | sead::Mathf::deg2rad(deg: rotate.z)); |
| 190 | rotationMatrix.makeR(r: rotateRad); |
| 191 | |
| 192 | sead::Matrix34f translationMatrix; |
| 193 | translationMatrix.makeRT(r: {0.0f, 0.0f, 0.0f}, t: trans); |
| 194 | |
| 195 | sead::Matrix34f pose = rotationMatrix * translationMatrix; |
| 196 | *outMtx = baseMtx * pose; |
| 197 | } |
| 198 | |
| 199 | void rotateMtxXDirDegree(sead::Matrix34f* outMtx, const sead::Matrix34f& baseMtx, f32 angle) { |
| 200 | sead::Matrix34f rotationMatrix; |
| 201 | rotationMatrix.makeR(r: sead::Mathf::deg2rad(deg: angle) * sead::Vector3f::ex); |
| 202 | |
| 203 | *outMtx = baseMtx * rotationMatrix; |
| 204 | } |
| 205 | |
| 206 | void rotateMtxYDirDegree(sead::Matrix34f* outMtx, const sead::Matrix34f& baseMtx, f32 angle) { |
| 207 | sead::Matrix34f rotationMatrix; |
| 208 | rotationMatrix.makeR(r: sead::Mathf::deg2rad(deg: angle) * sead::Vector3f::ey); |
| 209 | |
| 210 | *outMtx = baseMtx * rotationMatrix; |
| 211 | } |
| 212 | |
| 213 | void rotateMtxZDirDegree(sead::Matrix34f* outMtx, const sead::Matrix34f& baseMtx, f32 angle) { |
| 214 | sead::Matrix34f rotationMatrix; |
| 215 | rotationMatrix.makeR(r: sead::Mathf::deg2rad(deg: angle) * sead::Vector3f::ez); |
| 216 | |
| 217 | *outMtx = baseMtx * rotationMatrix; |
| 218 | } |
| 219 | |
| 220 | void calcMtxScale(sead::Vector3f* outMtx, const sead::Matrix34f& mtx) { |
| 221 | outMtx->x = sead::Mathf::sqrt(t: mtx.m[0][0] * mtx.m[0][0] + mtx.m[1][0] * mtx.m[1][0] + |
| 222 | mtx.m[2][0] * mtx.m[2][0]); |
| 223 | |
| 224 | outMtx->y = sead::Mathf::sqrt(t: mtx.m[0][1] * mtx.m[0][1] + mtx.m[1][1] * mtx.m[1][1] + |
| 225 | mtx.m[2][1] * mtx.m[2][1]); |
| 226 | |
| 227 | outMtx->z = sead::Mathf::sqrt(t: mtx.m[0][2] * mtx.m[0][2] + mtx.m[1][2] * mtx.m[1][2] + |
| 228 | mtx.m[2][2] * mtx.m[2][2]); |
| 229 | } |
| 230 | |
| 231 | void calcMtxScale(sead::Vector3f* outMtx, const Matrix43f& mtx) { |
| 232 | outMtx->x = sead::Mathf::sqrt(t: mtx.m[0][0] * mtx.m[0][0] + mtx.m[0][1] * mtx.m[0][1] + |
| 233 | mtx.m[0][2] * mtx.m[0][2]); |
| 234 | |
| 235 | outMtx->y = sead::Mathf::sqrt(t: mtx.m[1][0] * mtx.m[1][0] + mtx.m[1][1] * mtx.m[1][1] + |
| 236 | mtx.m[1][2] * mtx.m[1][2]); |
| 237 | |
| 238 | outMtx->z = sead::Mathf::sqrt(t: mtx.m[2][0] * mtx.m[2][0] + mtx.m[2][1] * mtx.m[2][1] + |
| 239 | mtx.m[2][2] * mtx.m[2][2]); |
| 240 | } |
| 241 | |
| 242 | void normalizeMtxScale(sead::Matrix34f* outMtx, const sead::Matrix34f& mtx) { |
| 243 | sead::Vector3f scale; |
| 244 | calcMtxScale(outMtx: &scale, mtx); |
| 245 | |
| 246 | if (!isNearZero(value: scale.x, tolerance: 0.001f) && !isNearZero(value: scale.y, tolerance: 0.001f) && |
| 247 | !isNearZero(value: scale.z, tolerance: 0.001f)) { |
| 248 | f32 xInv = 1.0f / scale.x; |
| 249 | f32 yInv = 1.0f / scale.y; |
| 250 | f32 zInv = 1.0f / scale.z; |
| 251 | |
| 252 | *outMtx = mtx; |
| 253 | outMtx->scaleBases(sx: xInv, sy: yInv, sz: zInv); |
| 254 | } |
| 255 | } |
| 256 | |
| 257 | bool tryNormalizeMtxScaleOrIdentity(sead::Matrix34f* outMtx, const sead::Matrix34f& mtx) { |
| 258 | sead::Vector3f scale; |
| 259 | calcMtxScale(outMtx: &scale, mtx); |
| 260 | |
| 261 | if (!isNearZero(value: scale.x, tolerance: 0.001f) && !isNearZero(value: scale.y, tolerance: 0.001f) && |
| 262 | !isNearZero(value: scale.z, tolerance: 0.001f)) { |
| 263 | f32 xInv = 1.0f / scale.x; |
| 264 | f32 yInv = 1.0f / scale.y; |
| 265 | f32 zInv = 1.0f / scale.z; |
| 266 | |
| 267 | *outMtx = mtx; |
| 268 | outMtx->scaleBases(sx: xInv, sy: yInv, sz: zInv); |
| 269 | return true; |
| 270 | } |
| 271 | |
| 272 | sead::Vector3f base = mtx.getBase(axis: 3); |
| 273 | outMtx->makeIdentity(); |
| 274 | outMtx->setBase(axis: 3, v: base); |
| 275 | |
| 276 | return false; |
| 277 | } |
| 278 | |
| 279 | void preScaleMtx(sead::Matrix34f* outMtx, const sead::Vector3f& scale) { |
| 280 | outMtx->scaleBases(sx: scale.x, sy: scale.y, sz: scale.z); |
| 281 | } |
| 282 | |
| 283 | } // namespace al |
| 284 | |