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znI&K$9eZh|o25m!*5>=>dAC*D;AmmA`&MBEr;^Dk<%>w$wr!v4@9Pk$2_9>THdwE}+uDe?5ni*RJxim2U;90SC(Jh5}k?Iz>WBl-1*SMiDcGCi>^X(eD!8_ZmbI4IV; z>ZD`;fceE~1F{qBueaCa7j$T8+QwEbU_-fk`teCVU7=JgY7$l*vO1X?o4YFbuTSrE zzT|`sPoHRCG4xsT?ak>NzmwB*7x&qJ*KEwz-P}w2Zn}-O-E--fI%tjKd9PsAV2Xrt zsq7^4hu_olZYd`@!}^{sHDH*i!SY!Ty^xA4BFwCn=RLOQuyPW%uyp$Zr^Nvg1}LX$ zPY9>>+^Ovk?-aamcfa`dmu}efR47KS+t@=-RUrt$NRZIU48M zUs7+?YoF85yFanpbsPPCWBb9~{gPteAcwPIY~(?w-1E!qa@Stx|#93IGWPs4EnIM}=A|ukTGpv8iW|9s#7{`LPp7M8;&laXd2dyCu6Pm#wlVXWntm{IdK{tsFW Bs^tIx literal 0 HcmV?d00001 diff --git a/s3l.h b/s3l.h index 9fd398c..e16c1c5 100644 --- a/s3l.h +++ b/s3l.h @@ -584,6 +584,26 @@ void S3L_initDrawConfig(S3L_DrawConfig *config) void S3L_PIXEL_FUNCTION(S3L_PixelInfo *pixel); // forward decl +/** + Interpolated between two values, v1 and v2, in the same ratio as t is to + tMax. Does NOT prevent zero division. +*/ +static inline int16_t S3L_interpolate(int16_t v1, int16_t v2, int16_t t, + int16_t tMax) +{ + return v1 + ((v2 - v1) * t) / tMax; +} + +/** + Like S3L_interpolate, but uses a parameter that goes from 0 to + S3L_FRACTIONS_PER_UNIT - 1, which can be faster. +*/ + +static inline int16_t S3L_interpolateByUnit(int16_t v1, int16_t v2, int16_t t) +{ + return v1 + ((v2 - v1) * t) / S3L_FRACTIONS_PER_UNIT; +} + typedef struct { int16_t steps; @@ -599,6 +619,103 @@ typedef struct int16_t minorDiff; } S3L_BresenhamState; ///< State of drawing a line with Bresenham algorithm. +typedef struct +{ + S3L_ScreenCoord p0[2]; ///< 2D coordinates of the 1st point projection + S3L_ScreenCoord p1[2]; ///< 2D coordinates of the 2nd point projection + + S3L_Unit a[3]; ///< 3D coordinates of the 1st projected point of the line + S3L_Unit b[3]; ///< 3D coordinates of the 2nd projected point of the line + S3L_Unit pointDifference[3]; ///< [bx - ax, by - ay, bz - cz] + + S3L_ScreenCoord c[2]; /**< helper point to for a plane for the intersection + with line */ + + S3L_Unit fcx; ///< precomputed helper product + S3L_Unit fcy; ///< precomputed helper product + + S3L_Unit focalLength; +} S3L_PerspectiveCorrectionState; ///< State for computing persp. correction. + +/** + Initializes the state of perspective correction along a line. The correction + itself is then done using S3L_correctPerspective function, using the state. +*/ +void S3L_initPerspectiveCorrectionState( + S3L_ScreenCoord x0, + S3L_ScreenCoord y0, + S3L_Unit depth0, + S3L_ScreenCoord x1, + S3L_ScreenCoord y1, + S3L_Unit depth1, + S3L_Unit focalLength, + S3L_PerspectiveCorrectionState *state) +{ + state->focalLength = focalLength; + + state->p0[0] = x0; + state->p0[1] = y0; + + state->p1[0] = x1; + state->p1[1] = y1; + + state->a[0] = (x0 * (depth0 + focalLength)) / focalLength; + state->a[1] = (y0 * (depth0 + focalLength)) / focalLength; + state->a[2] = depth0; + + state->b[0] = (x1 * (depth1 + focalLength)) / focalLength; + state->b[1] = (y1 * (depth1 + focalLength)) / focalLength; + state->b[2] = depth1; + + state->pointDifference[0] = state->b[0] - state->a[0]; + state->pointDifference[1] = state->b[1] - state->a[1]; + state->pointDifference[2] = state->b[2] - state->a[2]; + + state->c[0] = x1 + y1 - y0; + state->c[1] = y1 - x1 + x0; + + state->fcx = focalLength * state->c[0]; + state->fcy = focalLength * state->c[1]; +} + +S3L_Unit S3L_correctPerspective( + S3L_Unit interpolationParameter, S3L_PerspectiveCorrectionState *state) +{ + S3L_Unit p[2]; // lin. interpolated position between the projections + + // TODO: perhaps this could be interpolated faster by stepping? + p[0] = + S3L_interpolateByUnit(state->p0[0],state->p1[0],interpolationParameter); + + p[1] = + S3L_interpolateByUnit(state->p0[1],state->p1[1],interpolationParameter); + + S3L_Unit a, b, c, d; // plane coeficients + + a = state->focalLength * p[1] - state->fcy; + b = state->fcx - state->focalLength * p[0]; + c = p[0] * state->c[1] - p[1] * state->c[0]; + d = state->focalLength * c; + + a >>= 4; // TODO: this sometimes prevents overflow, but should be solved better! + b >>= 4; + c >>= 4; + d >>= 4; + + return + ( + - a * state->a[0] - b * state->a[1] - c * state->a[2] - d + ) + / + ( + ( + a * state->pointDifference[0] + + b * state->pointDifference[1] + + c * state->pointDifference[2] + ) / S3L_FRACTIONS_PER_UNIT + ); +} + /** Returns a value interpolated between the three triangle vertices based on barycentric coordinates. @@ -615,16 +732,6 @@ static inline S3L_Unit S3L_interpolateBarycentric( ) / S3L_FRACTIONS_PER_UNIT; } -/** - Interpolated between two values, v1 and v2, in the same ratio as t is to - tMax. Does NOT prevent zero division. -*/ -static inline int16_t S3L_interpolate(int16_t v1, int16_t v2, int16_t t, - int16_t tMax) -{ - return v1 + ((v2 - v1) * t) / tMax; -} - /** Same as S3L_interpolate but with v1 = 0. Should be faster. */